Which of the following best describes the solution to the system of equations below?

4x + 9y = 6
4x + 9y = 15

A.
The system of equations has infinitely many solutions.

B.
The system of equations has exactly one solution where x= 0and y=2/3 .

C.
The system of equations has exactly one solution where x=6 and y=15 .

D.
The system of equations has no solution

Answers

Answer 1

Answer:

The System of equations has no solution

Step-by-step explanation:

Graphing both equations will produce 2 lines which are parallel because both of them has the same slope but intersecting with X and Y axis in different points


Related Questions

help me with this please hurry

Answers

The value of the system determinant is -2.

System of Equations

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. Or, applying a tool called determinant. Here, for solving this exercise you should apply the determinant since the question asks about its value. The example below shows the steps that you should do.

Example:

2x+y=10

-x-y=25

Firstly, you should identify the coefficients of the system.  The coefficients are the previous numbers before the each variable. Therefore, for the example, the coefficients are: 2, 1 ,-1 and -1.

After that, you should write these coefficients to form a matrix. See: [tex]\left[\begin{array}{ccc}2&1\\-1&-1\\\end{array}\right][/tex].

Finally, you have a matrix and you should calculate the determinant. The determinant is calculated as shown below.

[tex]|D|=\left[\begin{array}{ccc}a&b\\c&e\\\end{array}\right]\\ \\ |D|=a*e-b*c[/tex]

Now, you can get to solve the given exercise.

Identify the coefficients of the system equations.

         1,1,1,-1

Write a matrix with the coefficients of the system equations.

         [tex]\left[\begin{array}{ccc}1&1\\1&-1\\\end{array}\right][/tex]

Calculate the determinant.

       D= 1*(-1)-(1)*(1)

       D= -1-(1)

       D= -1-1=-2

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Solve for k. -4 =-(-k-86) + 10
k=​

Answers

As a result, the answer is k = -100 a

what is linear equation ?

A linear equation is one in which the variable's highest power is always 1. An additional name for it is a one-degree equation. The most common form of a linear equation with just one variable is Ax + B = 0. In this case, B is constant, A is a coefficient, and x is a variable.

given

Increasing the right side of the equation results in:

Because -(-x) = x, -4 = -(-k-86) + 10 translates to k + 86 + 4.

-4 = k + 96

By taking 96 away from both sides, we get at:

-4 - 96 = k + 96 - 96

-100 = k

As a result, the answer is k = -100 .

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Select the correct answer.


The domain of function f is (, 6) U (6, ). The value of the function approaches as x approaches , and the value of the function approaches as x approaches. Which function could be function f?


A.


B.


C.


D

Answers

The possible function f(x) is C. [tex]f(x) = (x + 6)/(x - 6)[/tex] because C   satisfy the limit conditions as well.

To determine which function could be function f, we need to check if it satisfies the given domain and limit conditions.

First, let's check the domain.

Option A: The function is undefined at x = 6, but is defined for all other values of x. Therefore, the domain of f is (-∞, 6) U (6, ∞), as required.

Option B: The function is undefined at x = ±6, but is defined for all other values of x. Therefore, the domain of f is (-∞, -6) U (-6, 6) U (6, ∞), which is not the required domain.

Option C: The function is undefined at x = 6, but is defined for all other values of x. Therefore, the domain of f is (-∞, 6) U (6, ∞), as required.

Option D: The function is undefined at x = -6, but is defined for all other values of x. Therefore, the domain of f is (-∞, -6) U (-6, 6) U (6, ∞), which is not the required domain.

Therefore, options A and C are the only ones that satisfy the domain condition. Now let's check the limit conditions.

Option A:

[tex]\lim_{x \to -\infty} [(x^2 -36)/(x - 6)] = \lim_{x \to -\infty} [(x+6)(x-6)/(x-6)] \\= \lim_{x \to -\infty} [x+6] = -\infty[/tex]

[tex]\lim_{x \to \infty} [(x^2 -36)/(x - 6)] = \lim_{x \to \infty} [(x+6)(x-6)/(x-6)] \\= \lim_{x \to \infty} [x+6] = \infty[/tex]

Option C:

[tex]\lim_{x \to -\infty} [(x+6)/(x - 6)] = \lim_{x \to -\infty} [x/x] = -\infty[/tex]

[tex]\lim_{x \to \infty} [(x+6)/(x - 6)] = \lim_{x \to \infty} [x/x] = \infty[/tex]

Therefore, both options A and C satisfy the limit conditions as well.

Therefore, the possible function f is either A or C.

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The complete question is :

The domain of function f is (-∞, 6) U (6, ∞). The value of the function -∞ approaches as x approaches -∞ , and the value of the function approaches ∞ as x approaches ∞ . Which function could be function f?

A. [tex]f(x) = (x^2 -36)/(x - 6)[/tex]

B.[tex]f(x) = (x -6)/(x^2 - 36)[/tex]

C. [tex]f(x) = (x + 6)/(x - 6)[/tex]

D. [tex]f(x) = (x - 6)/(x + 6)[/tex]

when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the orignal number?

Answers

If the new number is four times the reciprocal of the original number, then  the original number is 0.02.

Let us assume the original positive decimal number is = "x".

When we move the decimal point of x four places to the right,

We get,  "10000x", which is four times the reciprocal of x.

So, equation can be written as;

⇒ 10000x = 4(1/x),

On simplifying the equation,

We get,

⇒ 10000x² = 4,

Dividing both sides by 10000,

We get,

⇒ x² = 0.0004,

Simplifying further,

We get,

⇒ x = 0.02

Therefore, the original positive decimal number is 0.02.

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If, in a (two-tail) hypothesis test, the p-value is 0.0308, what is your statistical decision if you test the null hypothesis at the 0.08 level of significance? choose the correct answer below? Since the p-value is less than alpha, do not reject H_0. Since the p-value is greater than alpha, do not reject H_0. Since the p-value is less than alpha, reject H_0. Since the p-value is greater than alpha, reject H_0.

Answers

When the p-value is less than alpha, reject H_0.

What is a two-tailed hypothesis test?

When you conduct a two-tailed hypothesis test, you check if the sample falls outside of the two critical regions. You make use of a two-tailed test if you are required to check both sides of the data.

For example, in a two-tailed hypothesis test, suppose the null hypothesis is that a coin is fair. This means that you expect the coin to be heads half of the time and tails half of the time.

The alternative hypothesis is that the coin is biased. This means that it will be heads more than half of the time or tails more than half of the time.If you get a p-value that is less than your alpha, you can reject the null hypothesis.

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Which represents the solution to the inequality x6. 2≥ −2 ? x ≥ 12. 4 x ≥ −12. 4 x ≤ −12. 4

Answers

The inequality x/6.2 ≥ -2 is solved by multiplying both sides by 6.2 to get x ≥ -12.4, which means x is greater than or equal to 12.4.

To solve the inequality x/6.2 ≥ -2, we want to find all possible values of x that make the inequality true.

First, we can isolate x by multiplying both sides of the inequality by 6.2 (which is positive, so we do not need to flip the inequality sign):

x/6.2 * 6.2 ≥ -2 * 6.2

Simplifying, we get:

x ≥ -12.4

This means that any value of x that is greater than or equal to -12.4 will make the inequality true.

To see why this is the case, we can substitute a few values for x and see if they satisfy the inequality. For example, if we let x = 12.4, then:

x/6.2 = 12.4/6.2 = 2

And we can check that 2 is indeed greater than or equal to -2. Therefore, x = 12.4 is a valid solution.

Similarly, if we let x = 20, then:

x/6.2 = 20/6.2 ≈ 3.23

And we can check that 3.23 is also greater than or equal to -2. Therefore, x = 20 is also a valid solution.

However, if we let x = -15, then:

x/6.2 = -15/6.2 ≈ -2.42

And we can see that -2.42 is not greater than or equal to -2. Therefore, x = -15 is not a valid solution.

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there are 15 different colored marbles in a bag and you have one six-sided die. if you roll the die and choose a marble, how many possible combinations of marble color and die number are possible?

Answers

There are 90 possible combinations of marble color and die number that are possible from a bag of 15 different colored marbles and rolling one six-sided die.

This can be determined using the multiplication principle of counting.

The multiplication principle of counting can be used to find the number of ways two or more tasks can be performed together. The principle states that if there are m ways to perform task A and n ways to perform task B, then there are m × n ways to perform both tasks A and B.

To apply the multiplication principle of counting to this problem, we need to determine the number of ways the die can land and the number of ways a marble can be chosen. There are six possible outcomes of rolling a six-sided die, and there are 15 different colored marbles to choose from. Thus, the number of possible combinations of marble color and die number is: 15 different colored marbles × 6 possible die numbers= 90 possible combinations.

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The federal deposit insurance corporation is an insurance agency supported by the nations government for up to what amount does the FDIC typically ensure a personal account in a commercial bank 

Answers

Answer:

Step-by-step explanation:

$250,000 per depositor per insured bank *fire emoji*

A company earned a profit of $8.0 million each year for 3 consecutive years. For each of the next 2 years the company earned a profit of $9.0 million. For this 5-year period, what was the company's average yearly profit, in millions of dollars? F. 8.2 G. 8.25. H. 8.4, J. 8.5 K. 8.6​

Answers

Answer:

8.4

Step-by-step explanation:

8+8+8+9+9/5=

42/5=

=8.4

The company's average yearly profit, in millions of dollars, was $8.4 million.

The total profit earned by the company in the first 3 years is $8.0 million x 3 = $24.0 million.

In the following two years, the business will make a total profit of $9.0 million multiplied by two, or $18.0 million.

Therefore, the total profit earned by the company in the 5-year period is $24.0 million + $18.0 million = $42.0 million.

To find the average yearly profit, we divide the total profit by the number of years: $42.0 million / 5 = $8.4 million.

Therefore, the company's average yearly profit, in millions of dollars, was $8.4 million. The answer is (H) 8.4.

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How does g(x) = 3* change over the interval from x = 8 to x = 10?

Answers

The answer is: g(x) increases by a factor of 9.

What is change in interval?

In mathematics, the term "interval" refers to a range of values between two endpoints. A change in interval refers to a shift or movement of this range along the number line.

There are two types of changes that can occur in an interval: a shift or a stretch.

A shift occurs when the interval is moved left or right along the number line. For example, if we start with the interval [0, 5] and shift it to the right by 2 units, we get the new interval [2, 7]. Similarly, if we shift it to the left by 3 units, we get the new interval [-3, 2].

A stretch occurs when the interval is expanded or compressed. For example, if we start with the interval [0, 5] and stretch it by a factor of 2, we get the new interval [0, 10]. If we compress it by a factor of 1/3, we get the new interval [0, 5/3].

Changes in interval are important in many areas of mathematics, including calculus, where they are used to describe the domain and range of functions, and in geometry, where they are used to define the length and area of shapes.

The function g(x) = 3ˣ represents exponential growth.

To determine how g(x) changes over the interval from x=8 to x=10, we can evaluate g(10) and g(8) and compare the ratios:

g(10) = 3¹⁰ = 59,049

g(8) = 3⁸ = 6,561

The ratio of g(10) to g(8) is:

g(10)/g(8) = 59,049/6,561 = 9

Therefore, g(x) increases by a factor of 9 over the interval from x=8 to x=10.

The answer is: g(x) increases by a factor of 9.

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Name
Lars Torvall
Account Number
Date
15-Jan
28-Jan
3-Feb
15-Feb
15-Mar
10-Apr
15-Apr
1-May
15-May
15-Jun
15-Jul
Savings Account Statement
Beginning Date
Ending Date
Interest Earned This Period
Deposit
Interest
12-36-5000
Withdrawal
400.00
45.00
80.40
335.60
0.90
0.45
1.04
2.42
2.26
0.16
0.52
1.10
2.43
2.37
1/15/20-
7/15/20-
E
2
b.
Balance
503.27
549.17
630.02
631.06
633.48
235.74
C
d.
in $2 675

Answers

Daniel

Step-by-step explanation:

student of account

d) Now let’s look at the annual premium. Let’s find the annual premium that would be deducted from your paycheck. You are paying 30% of your premium. • AAA+ Annual Deduction = 30% of premium = Weekly Deduction = your annual/52 = • Health Today Annual Deduction = Weekly Deduction = • Best Insurance Annual Deduction = Weekly Deduction =

Answers

Keep in mind that the numbers used in the example are arbitrary, and you will need to use the actual premium amounts to calculate the deductions

Hi! To find the annual premium deductions and weekly deductions for each insurance plan, follow these steps:

1. Calculate the annual deduction for each plan by multiplying the total annual premium by 30% (your contribution).
2. Calculate the weekly deduction by dividing the annual deduction by 52 (number of weeks in a year).

For example, if AAA+ annual premium is $1,000, Health Today annual premium is $1,200, and Best Insurance annual premium is $800:

AAA+ Annual Deduction = 30% of $1,000 = $300
Weekly Deduction = $300/52 ≈ $5.77

Health Today Annual Deduction = 30% of $1,200 = $360
Weekly Deduction = $360/52 ≈ $6.92

Best Insurance Annual Deduction = 30% of $800 = $240
Weekly Deduction = $240/52 ≈ $4.62

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10
18
10+2x
2y+4
What is the value of x?
a) 3
b) 4
c) 6
d) 8

Answers

Answer = (b) 4

━━━━━━━━━━━━━━━━━━━━━━

We Know ::

In a Rectangle,

➸ Opposite Sides are Equal

So ::

[tex]\begin{gathered} \\ \\ \begin{gathered} \; \; :\longmapsto \; \sf{10 + 2x = 18} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2x = 18 - 10} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2x = 8} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{x = \cancel{\dfrac{8}{2}}} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered} \; \; :\longmapsto \;\underline{\boxed{\sf{\pmb{x = 4}}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \qquad{\rule{100pt}{10pt}} \end{gathered}[/tex]

Also ::

[tex]\begin{gathered} \\ \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y + 4 = 10} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y = 10 - 4} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{2y = 6} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered} \\ \begin{gathered} \; \; :\longmapsto \; \sf{y = \cancel{\dfrac{6}{2}}} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered} \; \; :\longmapsto \;\underline{\boxed{\sf{\pmb{y = 3}}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}\begin{gathered} \\ {\underline{\rule{170pt}{9pt}}} \end{gathered}\end{gathered}[/tex]

your recipe calls for 3 tablespoons of milk, but you are planning to quadruple your recipe and will truly need 12 tablespoons. you decide it may be easier to convert the tablespoons to cups than to measure 12 tablespoons. how many cups of milk will you need?

Answers

You will need 0.75 cups of milk when quadrupling the recipe.

When quadrupling the recipe, you would need 12 tablespoons of milk. To make the calculations easier, it is more efficient to convert the tablespoons to cups. So, the question is how many cups of milk will you need? We know that there are 16 tablespoons in a cup. Therefore, we can find how many cups of milk you will need as follows:

12 tablespoons = (12/16) cups

12 tablespoons  =  0.75 cups

So, you would need 0.75 cups of milk when quadrupling the recipe.

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Find the surface area of the prism. 9 in. 14 in. 3 in.
y'all I need help ASAP.​

Answers

Answer:

The surface area of rectangular prism is 390 in²

Step-by-step explanation:

As per given question we have provided that :

[tex]\star[/tex] Length of prism = 9 in [tex]\star[/tex] Width of prism = 3 in [tex]\star[/tex] Height of prism = 14 in

Here's the required formula to find the surface area of rectangular prism :

[tex]\star\boxed{\text{Area}=2(\text{lw}+\text{wh}+\text{lh})}[/tex]

[tex]\star[/tex] l = length[tex]\star[/tex] w = width[tex]\star[/tex] h = height

Substituting all the given values in the formula to find the surface area of rectangular prism :

[tex]\implies \text{Area}=2(\text{lw}+\text{wh}+\text{lh})[/tex]

[tex]\implies \text{Area}=2[(9\times3)+(3\times14)+(14\times9)][/tex]

[tex]\implies \text{Area}=2[(27)+(42)+(126)][/tex]

[tex]\implies \text{Area}=2[27+42+126][/tex]

[tex]\implies \text{Area}=2[69+126][/tex]

[tex]\implies \text{Area}=2[195][/tex]

[tex]\implies \text{Area}=2\times195[/tex]

[tex]\implies \text{Area}=390[/tex]

[tex]\star\boxed{\text{Area}=390 \ \text{in}^2}[/tex]

Hence, the surface area of rectangular prism is 390 in².

[tex]\rule{300}{1.5}[/tex]

I need helppppppppp please help me ASAP

Answers

Answer:

b

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

here n = 5 , then

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the five interior angles and equate to 540

148 + 3x + 10 + x + 112 + 90 = 540

4x + 360 = 540 ( subtract 360 from both sides )

4x = 180 ( divide both sides by 4 )

x = 45

Then

∠ B = 3x + 10 = 3(45) + 10 = 135 + 10 = 145°

a 2 digit number with y ones and 3 ones more than ten

Answers

The two-digit number with a ones digit that is 3 more than its tens digit is 58.

What number does the description fit?

We know that a number is a two-digit number and the sum of its two digits is 13. Based on this, some possible numbers that fit this description are:

7 + 6 = 136 + 7 = 138 + 5 = 135 + 8 = 139 + 4 = 134+ 9 = 13

Moreover, we know that the ones digit is 3 more than the tens digit. Based on this principle, the number that fits the description is 58.

5 (3 more than 8 ) + 8 = 13

Note: This question is incomplete; here is the complete question:

I am 2 digit number. My ones digit is 3 more than my tens and the sum of my digit is 13. Who am I?

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QUESTION IS ON PHOTO!!! HURRY!!!!

Answers

The function F(x)'s valid domain is therefore (-, -3), (-3, -2), and (-2, ).

How is domain determined?

We enter each value of x into the function and simplify as follows in order to evaluate the function F(x) at the values of the supplied domain:

[tex]F(-3) = (2(-3) + 6)/((-3)^2 + 5(-3) + 6) = 0/0[/tex] (undefined) (undefined)

[tex]F(-2) = (2(-2) + 6)/((-2)^2 + 5(-2) + 6) = 0/0[/tex](undefined) (undefined)

[tex]F(0) = (2(0) + 6)/(0^2 + 5(0) + 6) = 1[/tex]

[tex]F(2) = (2(2) + 6)/(2^2 + 5(2) + 6) = 2/3[/tex]

[tex]F(3) = (2(3) + 6)/(3^2 + 5(3) + 6) = 2/4 = 1/2[/tex]

The function is undefined at x=-3 and x=-2 because the fraction's

denominator is zero at these points, and division by zero is undefined, as can be seen from the aforementioned evaluations. All real numbers, with the exception of -3 and -2, fall inside the given function's valid domain.

The function F(x)'s valid domain is therefore (-, -3), (-3, -2), and (-2, ).

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a subset of the integers 1, 2, . . . , 100 has the property that none of its members is 5 times another. what is the largest number of members such a subset can have

Answers

The largest number of members such a subset can have is 60.

Let's consider the numbers in the subset that are multiples of 5. If we have one of these multiples in the subset, then we cannot have any other multiple of that number in the subset, otherwise, one of them would be 5 times another.

So we can choose at most one number from each set of multiples of 5: either 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100.

This gives us a maximum of 20 numbers that we can choose from these sets.

Now we consider the remaining numbers from 1 to 100 that are not multiples of 5. Each of these numbers can be expressed as a product of a power of 2 and an odd number. For example, 33 = 2^0 x 33, 72 = 2^3 x 9.

If we choose any number that has a power of 2 greater than or equal to 3, then we cannot choose any other number that has the same odd factor, otherwise, one of them would be 5 times another. This is because any number with a power of 2 greater than or equal to 3 is a multiple of 8, and any multiple of 8 has a factor of 5.

So we can choose at most two numbers from each set of numbers that have the same odd factor: either 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, or 99.

This gives us a maximum of 2 x 20 = 40 numbers that we can choose from these sets.

Therefore, the largest number of members such a subset can have is 20 + 40 = 60.

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compute each sum or differences
3/8 + 7/12

Answers

By finding a common denominator, we can rewrite the sum as:

3/8 + 7/12 = 9/24 + 14/24 = 23/24

How to find the sum between the two fractions?

Here we want to find the sum between two fractions that have different denominators.

To sum them, we need to find a common denominator, so we need to find a common multiple between 8 and 12.

We know that:

8*3 = 24

12*2 = 24

Then we can multiply and divide the first fraction by 3:

3/8*(3/3) = 9/24

7/12*(2/2) = 14/24

Then the sum will give:

9/24 + 14/24 = 23/24

That is the outcome.

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Supply the maxima set from the following set of points:
{(7, 2),(3, 1),(9, 3),(4, 5),(1, 4),(6, 9),(2, 6),(5, 7),(8, 6)}

Answers

Maxima set is {(6, 9)}.

How to find Maxima set?

To find the maxima set from the given set of points, we need to identify the points with the highest y-values.

Step 1: Examine the y-values of the given points.

(7, 2), (3, 1), (9, 3), (4, 5), (1, 4), (6, 9), (2, 6), (5, 7), (8, 6)

Step 2: Identify the highest y-value among the points.

In this case, the highest y-value is 9.

Step 3: Find the points with the highest y-value.

There is one point with a y-value of 9: (6, 9)

Step 4: Create the maxima set.

The maxima set consists of the point(s) with the highest y-value: {(6, 9)}

So the maxima set is {(6, 9)}.

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Robert gets a loan from his bank. He agrees to borrow £6 000 at a fixed annual simple interest rate of 7%. He also agrees to pay the loan back over a 10-year period. How much money in total will he have paid back at the end of the 10 years?​

Answers

Given:

Robert gets a loan from his bank he agrees to borrow £6000 at a fixed annual simple interest rate of 7% he also agrees to pay the money back over a 10 year period.

To Find:

How much money in total will he have paid back at the end of the 10 years?

Solution:

We know that,

[tex]\text{Simple interest}=\dfrac{\text{P}\times\text{R}\times\text{T}}{100}[/tex]

Here, we have

[tex]\text{Principle}=\£6000[/tex]

[tex]\text{Rate}=7\%[/tex]

[tex]\text{Time}=10\ \text{years}[/tex]

Substituting these values, we get

[tex]\text{SI} = \dfrac{6000\times7\times10}{100}[/tex]

  [tex]= \dfrac{420000}{100}[/tex]

  [tex]= 4200[/tex]

[tex]\text{Amount = Principal + Simple Interest}[/tex]

              [tex]= 6000 + 4200[/tex]

              [tex]= \£10200[/tex]

Hence, Robert would have paid back £10200 at the end of the 10 years.

By formula:-

SI= PTR/100

A=I+P

Someone Please Solve For x

Answers

The numerical value of x is 23.

What is the numerical valie of x?

Vertical angles are simply angles that are opposite of each other when two straight lines crosses.

They are congruent, hence, they have the same angle measure.

From the diagram:

Angle A = ( 6x - 100 )°Angle B = ( x + 15 )°

Since the angles that are opposite of each other, they are vertical angles, meaning they are congruent.

Hence:

Angle A = Angle B

( 6x - 100 ) = ( x + 15 )

Solve for x

6x - x = 15 + 100

5x = 115

x = 115/5

x = 23

Therefore, x has a value of 23.

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telephone calls arrive at an information desk at a rate of per minute. what is the probability that the next call will arrive within 7 minutes? round to four decimal places as needed.

Answers

The probability that the next telephone call will arrive within 7 minutes is 0.9999 rounded to four decimal places.

Telephone calls arrive at an information desk at a rate of $\lambda$ per minute. Round to four decimal places as needed.The number of events in a Poisson distribution, $X$ , is dependent on the time interval or the area under consideration. When the mean number of events in the area is $\mu$, the probability of a specific number of events, $x$, is given by the Poisson distribution as$P(X=x)=\frac{\mu^xe^{-\mu}}{x!}$where x is a non-negative integer.Let's consider the given scenario for this particular question.

$\lambda$ is the rate of telephone calls arriving at an information desk. This rate can be utilized to find the mean of a Poisson distribution by multiplying it by the time interval. Let $\mu$ denote the mean number of calls arriving in 7 minutes. Then$\mu = \lambda \times 7$ $\mu$ = $7\lambda$When this mean value is substituted in the Poisson probability formula, the probability that a telephone call arrives within 7 minutes is obtained.$P(X \leq 1)$ =$P(X=0)+P(X=1)$ =$\frac{(7\lambda)^0 e^{-7\lambda}}{0!}+\frac{(7\lambda)^1 e^{-7\lambda}}{1!}$ =$e^{-7\lambda}+\frac{7\lambda}{e^{7\lambda}}$ = $0.9999$ (rounded to four decimal places).

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two step equations
find the value of the unknown variable in the equation

Answers

Answer:  it's T

Step-by-step explanation:

The amounts that two plumbers charge for their services are described.

The first plumber charges a fixed fee of $40 for house calls and $15 per hour of work.
The second plumber charges a fixed fee of $30 for house calls and $19 per hour of work.

For what number of hours of work do the first plumber and the second
plumber charge the same total amount?

PLEASE HELP ASAP!!!!!

Answers

Answer:

Step-by-step explanation: 160$

Rowan is taking his siblings to get ice cream. they can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. if w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? use 3.14 for π, and round your answer to the nearest tenth. a cone with a height of x and a radius of w, a cylinder with a diameter of y and a height of z the cup holds 26.2 in3 more ice cream than the cone. the cone holds 26.2 in3 more ice cream than the cup. the cup holds 32.7 in3 more ice cream than the cone. the cone holds 32.7 in3 more ice cream than the cup.

Answers

Rowan should get the ice cream in a cup as the cup holds 26.2 in3 more ice cream than the cone.

First, we need to find the volume of ice cream that the cone holds:

we can use the formula for volume, we get:

Volume = π × r² × h/3

when we put the values in the formula, we get:

Volume = 3.14 × 2.5² × 5/3

solving the problem, we get:

Volume =32.7 inches³

Now we need to find the volume of ice cream that the cup holds,

we use the formula of volume, we get:

Volume = π × r² × h

Diameter = 5 inches ⇒ Radius = 2.5 inches

(since we know that the radius is the exact half of the diameter)

when we put the values in the formula, we get:

Volume = 3.14 × 2.5² × 3

Volume =58.9 inches³

Now that we have both the values, we can easily find the difference:

Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³

The cup holds 26.2 in³ more ice cream than the cone.

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find the volume of a sphere with a circumference of 20pi

Answers

To find the volume of a sphere with a circumference of 20π, we first need to find its radius.

The formula for the circumference of a sphere is C = 2πr, where C is the circumference and r is the radius.

Therefore, we can rearrange this formula to solve for the radius:

r = C/(2π) = 20π/(2π) = 10

Now that we know the radius is 10, we can find the volume of the sphere using the formula:

V = (4/3)πr^3

Substituting r = 10 into this formula, we get:

V = (4/3)π(10)^3 = (4/3)π(1000) = 4000π/3

So, the volume of the sphere is 4000π/3, which is approximately equal to 4188.79 cubic units.

a correlation coefficient of -1.0 indicates that there is no relationship between two variables. true false

Answers

Answer:

False. A correlation coefficient of -1 indicates a perfect negative correlation between two variables.

Below are the 5 warmest and coldest temperatures recorded in DC last year.

WARMEST: 98, 97, 102, 98, 97

COLDEST: 12, 14, 9, 7, 12

What is the difference between the mean of the warmest and coldest days recorded? (enter your answer below)

Answers

87.6  is the difference between the mean of the warmest and coldest days recorded.

What is the mean called in statistics?

By summing all the numbers in a data collection and dividing by the total number of values in the set, one can determine the mean (average) of the data set. When a data collection is ranked from least to greatest, the median is the midpoint. 

WARMEST: 98, 97, 102, 98, 97

                = 97, 97 , 98 , 98 , 102

               = 97 + 97 + 98 + 98 + 102/5

                 = 492/5 = 98.4

COLDEST: 12, 14, 9, 7, 12

               = 7 , 9 , 12 ,12,  14

              =  54/5

               = 10.8

the difference between the mean of the warmest and coldest days recorded    =   98.4 - 10.8

                  =  87.6

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