Using a number line, find both the intersection and the union of the following
intervals:
(-3,∞) and (4,∞)

Answer:

None of them are the same

0.25x^2 - 0.16y^4

Both terms are perfect squares so use the difference of squares formula

A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2

Answer is 0.01(5x + 4y^2)(5x-4y^2)

Answer:

Solution given:

0.25x^2 - 0.16y^4

[0.5x]²-[0.4y²]²

[Note: Using formula: x²-y²=(x+y)(x-y)]

(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.

Answer:

The area of the triangle is 27

Answer:

circle graphs work well to illustrate percentages

Step-by-step explanation:

Answer:

C - 16√5

Step-by-step explanation:

Simply subtract 19 and 3 while keeping √5 the same.

19√5 - 3√5 = 16√5

The probability that at least 12 buy their lunch =  0.887

Given that 73% of students buy their lunch.

⇒ p = 0.73

And q = 1-p

q =  0.27

sample size (the number of student selected) n = 19

We need to calculate the probability that at least 12 buy their lunch.

i.e., P(x ≥ 12)

We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(X ≥ 12)

= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]

= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025

= 0.887

The required proability is  0.887

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Answer:

ertyghujikol

Step-by-step explanation:

3456t7ujn

The graph has plotted and attached below

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y <12.

Here The graph have plotted and attached below.

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34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use

20+7m

In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use

26.3+4m

We need to find the amounts of monthly phone use will Plan A cost no more than Plan B

20+7m<26.3+4m

7m-4m<26.3-20

3m<6.3

m<2.1

Hence, 34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.

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Answer:

use this link

Step-by-step explanation:https://www.calculatorsoup.com/calculators/math/math.php

Answer:

amogus

Step-by-step explanation:

B)

Answer:

Y-intercept: 15

Slope: 1.3

Equation: y = 1.3x + 15

Step-by-step explanation:

Base on the table:

# of haircuts = x

Cost ($) = y

Knowing that;

y-intercept = The starting point (y)

Thus, based on the table the y-intercept is 15.

Y-intercept: 15.

To find the slope.

We first have to pick two points on the line & determine their coordinates.

Then subtract y-coordinates of these two points and also subtract x-coordinates for these two points.

After that divide the y by the x.

Shown below:

I'm going to use;

(0,15) and (1,20.5)

0 = x₁

15 = x₂

1 = y₁

20.5 = y₂

Now we do;

20.5 - 1 = 19.5

15 - 0 = 15

19.5 / 15 = 1.3

Hence, Slope = 1.3

Slope: 1.3

The equation - y = mx + b

Knowing that;

b = y-intercept

m = Slope

Substitute it in we have;

y = 1.3x + 15

Equation: y = 1.3x + 15

RevyBreeze

The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.

A graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.

In the given problem, we have two linear equations which are

y = 3x - 6 ...eq(i)

y = 2/5x + 5 ...eq(ii)

Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.

The coordinates to the nearest integer are (x, y) 4 and 7

The value of x is 4 and y is 7

Kindly find attached graph below.

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Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

if x⁰=π in eq1

then [tex]f(x)= sin\ 2 \pi[/tex]

[tex]f(x) = 0.109[/tex]

if x⁰= -1 in eq2

then [tex]f(x)=3(-1)-(-1)^2[/tex]

[tex]f(x) = -4[/tex]

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Answer:

9 3/4 cubic units

Step-by-step explanation:

The formula for the volume of a rectangular prism =

Length × Width × Height

From the question:

Length = 3 units

Height = 3 1/4 units

Width = 1 unit.

Volume of the prism =

3 units × 3 1/4 units × 1 unit

= (3 × 13/4 × 1 )cubic units

= 39/4 cubic units

= 9 3/4 cubic units

The total volume of the rectangular prism = 9 3/4 cubic units

Answer:

✔ 9

whole-unit cubes fit inside the prism.

✔ 3

quarter-cubic units fit inside the prism.

The total volume of the prism is  

✔ 9 3/4  units3.

So, 600 full cup would be able to be filled from the cooler. This can be solved using the concept of volume of cylinder.

The three-dimensional form of a cylinder is made up of two parallel circular bases connected by a curving surface. The right cylinder is created when the centers of the circular bases cross each other. The measure of space within a cylinder is measured by its volume. Find it by dividing the base area by the height. V = πr²h is the formula for the volume of a cylinder with base radius "r" and height "h."

Given that,

diameter of cylinder = 30 inch

diameter of cup = 3 inch

height of cylinder = 24 inch

height of cup = 4 inch

Calculate the volume of the cylinder:

Volume = πr²h

putting the values we get:

Volume = (3.14)(30/2)²(24)

Volume = (3.14)(15)²(24)

Volume = (3.14)(225)(24)

Volume = 16959 in³

Calculate the volume of the cup:

Volume = (3.14)(3/2)²(4)

Volume = (3.14)(1.5)²(4)

Volume = (3.14)(2.25)(4)

Result

Volume = 28.26 in³

Divide the volume of the cylinder by the volume of the cup, we get:

Number of full cups =  16959 in³ /  28.26 in³

Number of full cups = 600

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The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression is (Number/variable, Math Operator, Number/variable)

The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.

And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.

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The complete Question is:

Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?

A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.

B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.

C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.

D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.

Answer:

x = 25

y = 65

Step-by-step explanation:

I'm not sure if I'm right but..

To solve x:

Since there is a 90 degree angle with 65 degrees and x, the total should sum up to 90. (ofc)

90 - 65 = 25 <--- the missing angle (x)

To solve y:

I'm pretty sure that it is also a 90 degree angle because there is a 90 degree across from you, so they should have the same angles. Since you know x=25, You would do this:

90 - 25 = 65 <--- y

Your welcome!!

Answer:

The lowest ccommon denominator (or LCD) of 1/3 and 2/5 is 15.

Step-by-step explanation:

The lowest multiple of 3 and 5 is 3*5 = 15.

In terms with the LCD, 1/3 now equals 5/15; and 2/5 now equals 6/15.

Hope this helps :)

Exponential growth on a logarithmic graph looks like a straight line. On a regular graph, the line would appear to be curved, but when plotted on a logarithmic graph, the line appears to be a straight line.

Exponential growth on a logarithmic graph appears as a straight line. This is because the logarithmic scale is a compressed scale, meaning that it takes a large range of values and compresses them into a smaller range. This makes the data easier to read and understand. The straight line occurs because the logarithmic scale is designed to fit the data points more closely, making the line appear linear. This is in contrast to the regular scale, where the line appears curved due to the large range of values being plotted. Thus, exponential growth appears as a straight line on a logarithmic graph.

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An initial investment of $580, earning 3% annually-compounded interest, will take 18.429 years (investment period) to reach $1,000.

The period for the investment to accumulate to $1,000 at 3% compounded interest is computed using an online finance calculator.

The parameters required include identifying the interest rate, compounding period, present investment, and future value., from the given formula:

A = 580(1.03)^t

$1,000 = 580(1.03)^18.429

I/Y (Interest per year) = 3%

PV (Present Value) = $580

PMT (Periodic Payment) = $0

FV (Future Value) = $-1000

Results:

N = 18.429

= 18 years and 5 months

Total Interest = $420

Thus, for the account to reach $1,000, it will take 18 years and 5 months.

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A = 580(1.03)^t

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

x is the sales tax percentage. hence, we have to solve for x.

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

[tex]$78.84 = \frac{73x}{100} + 73[/tex]

[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73

[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100

[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.

The necessary probabilities are 3/8, 1/3, 9/64, and 37/64.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

S = { G1, G2, G3, Y1, Y2, Y3, Y4, Y5 }

G = { G1, G2, G3 }

P(G) = 3/8

E = { G2, Y2, Y4 }

P(G|E) = 1/3

P(G and E) = P(G)*P(E) = (3/8)*(3/8) = 9/64

P(G or E) = P(G) + P(E) - P(G and E) = (3/8) + (3/8) - (9/64) = (6/8) - (9/64) = (48/64) - (9/64) = 37/64

The required probability is 3/8, 1/3, 9/64 and 37/64.

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The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.

Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.

A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.

H₀: σ = 0.62

H₁: σ ≠ 0.62

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.

The alternative hypothesis exists that it does not equivalent 0.62.

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Answer:

<K = 67degrees

Step-by-step explanation:

From the parallelogram given, the opposite angles are equal i.e <L = <J

Given

<L = 5x + 18

<J = 7x - 20

Equating both sides

5x +  18 = 7x - 20

Collect the like terms

5x - 7x = -20 -18

-2x = -38

x = 38/2

x = 19

Also <J + <K = 180

7x - 20 + <K = 180

7(19) - 20 + <K = 180

133  - 20 + <K = 180

113 + <K = 180

<K = 180 - 113

<K = 67degrees