[tex]So distance from a) xy plane = |-5| = 5 b) yz plane = |4| = 4c) xz plane = |7| = 7d) x-axis = √[(7)^2+(-5)^2] = √[49+25]=√[74] = 8.6023e) y-axis =√[(-5)^2+(4)^2] = √[25+16] =√[41] = 6.4031f) z-axis = √[(4)^2+(7)^2] = √[16+49] = √[65] = 8.0622[/tex]
What is axis?A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates that are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length. An axis is a line that is used to sketch, measure, rotate, etc. a curve or a figure. The Cartesian axes in the plane or in space, which are often mutually perpendicular, are the most frequently seen axes. Axes, pronounced "ax-ees," is the plural form of "axis." The phrase is also used to describe a line that passes across a group of aircraft. The line on a graph that passes 0 horizontally (left to right).
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Find the distance between -55 and 63.
Answer:
The distance would be 118
Step-by-step explanation:
The easiest way I solve the distance between a negative number and a positive number is by adding the negative (but making it a positive) and the positive together. If you add 55 and 63 you would get 118. And 118 is the distance between -55 and 63.
I hope this helps!! :)
73.69 in scientific notation
Answer:
see picture
Step-by-step explanation:
Please look at explaination
what is the difference of - 3 - ( - 10)
Answer
(-3) - (-10) = 7
|7| = 7
7
The distributive property also combines subtraction and multiplication for example, 3 x (5 — 2) = (3 x 5) —(3 x 2). Explain how you could use the Distributive Property and mental math to find 5 x 198.
After using distributive property we find the solution of 5 × 198 is 990.
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
The expression is given as;
5 × 198
Now, By using distributive property we calculate as;
5 × 198 = 5 × ( 200 - 2 )
= (5 × 200) - (5 × 2)
= 1000 - 10
= 990
Hence, After using distributive property we find the solution of 5 × 198 is 990.
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What is 5 divided by 1900 ?
If you know the answer please write steps
Answer:
i think the answer is 0.00263157895
Write the expression n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r using exponents.
Answer:
n² p²r³
Step-by-step explanation:
n ⋅ n ⋅ p ⋅ p ⋅ r ⋅ r ⋅ r
Write using exponents
There are 2 n terms
n²⋅ p ⋅ p ⋅ r ⋅ r ⋅ r
There are 2 p terms
n² p²⋅ r ⋅ r ⋅ r
There are 3 r terms
n² p²r³
Please answer this math equation.
The interval where the function is nonlinear and decreasing is 0 < x < 4
How to determine the interval where the function is nonlinear and decreasing?The straight lines on the graph are the intervals where the graph is linear
This means that the straight lines on the graph will not be considered
Considering the curve, the graph decrease from x = 0 to x = 4
This can be rewritten as:
0 < x < 4
Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4
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-6/25: 5 2/5 what is the answer i need help!!
The expression -6/25: 5 2/5 is simplified to -30/675
What is ratio?Ratio can be defined as the comparison of two numbers or elements indicating their sizes in relation.
It is represented using the symbol ':'
Example;
The ratio of 3: 5 is written as 3/ 5
Given the expression;
-6/25: 5 2/5
Convert 5 2/5 into an improper fraction = 27/5
We have
-6/ 25 : 27/ 5
Take the ratio
- 6/ 25 ÷ 27/ 5
Take the inverse of the divisor and multiply
- 6/ 25 × 5/ 27
-30/675
Thus, the expression -6/25: 5 2/5 is simplified to -30/675
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
Given that, 2.3p – 10.1 = 6.5p – 4 – 0.01p.
We need to find which equations have the same solution as the given equation.
What is an equivalent equation?Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Now, 2.3p - 10.1 = 6.5p - 4 - 0.01p can be simplified as follows:
To add or subtract terms of algebraic equations group like terms add numerals and keep the variables the same.
That is, 2.3p - 10.1 = (6.5p - 0.01p) - 4
⇒2.3p - 10.1 =6.49p - 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
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find the solution to this equation:5(x-6)+8=7x-10
Answer:
x = -6
Step-by-step explanation:
Distribute where possible
5x - 30 + 8 = 7x - 10
Combine like terms
5x - 22 = 7x - 10
Subtract 7x from both sides and add 22 to both sides
-2x = 12
x = -6
A football team gained 6 yards on a first down, lost 15 yards on the second down, and gained 12 yards on the third down. How many yards did the team gain or lose?
9 yards
33 yards
21 yards
3 yards
17/21 + 1/3 - 5/7 thank you!
Answer:3/7
Step-by-step explanation:
Answer:
3/7
Step-by-step explanation:
change all denominators to 21
{21 is the lcd of all the numbers)
17/21 x 1= 17/21
1/3 x 7 = 7/21
5/7 x 3 = 15/21
17/21 + 7/21 - 15/21
24/21-5/21
9/21
reduce by three
9/21÷3
3/7
Select all the expressions that are equivalent to –24 [tex]\frac{1}{2}[/tex] + 16.15 – 4.
The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex] .
In the question,
the given expression is [tex]-24\frac{1}{2} +16.15-4[/tex] , solving further we get
= -49/2 + 16.15 - 4 ...(as [tex]24\frac{1}{2} = \frac{49}{2}[/tex] )
= -24.5 + 12.15
= -12.35
In option(A) we have ,
=[tex]24\frac{1}{2} -16.15+4[/tex]
= 49/2 -16.15 +4
= 24.5 -16.15 +4
= 8.35 + 4
= 12.35
In option(B) we have ,
= 16.15 - 28.5
= -12.35
In option(C) we have ,
= -28.5 + 16.15
= -12.35
In option(D) we have ,
[tex]=-20\frac{1}{2} +16.5[/tex]
= -41/2 + 16.5 ...( as [tex]20\frac{1}{2} = \frac{41}{2}[/tex] )
= -20.5 + 16.5
= -4
In option(E) we have ,
[tex]=12.15-24\frac{1}{2}[/tex]
= 12.15 - 49/2
= 12.15 - 24.5
= -12.35
As we can see that from all the option , only option(B), option(C) and option(E) matches with the given expression .
Therefore , The expressions that are equivalent to [tex]-24\frac{1}{2} +16.15-4[/tex] are (B)16.15 - 28.5 , (C)-28.5 + 16.15 and (E)[tex]12.15-24\frac{1}{2}[/tex] .
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Find a counterexample to show that the conjecture is false.
The sum of two numbers is always greater than their difference.
The statement is false, a counterexample is given by using the numbers 1 and -1.
How to find the counterexample?Here we have the statement:
"The sum of two numbers is always greater than their difference"
So we just need to find two numbers such that the statement is false.
This is really trivial, for example, we can propose the numbers 0 and 0.
The sum gives 0 + 0 = 0
The difference is 0 - 0 = 0
The sum is not greater than the difference.
Now, I will propose a less trivial counterexample, let's use the numbers 1 and -1.
The sum gives 1 + (-1) = 1 - 1 = 0
The difference gives: 1 - (-1) = 1 + 1 = 2
The difference is larger than the sum, so we found a counterexample for the given statement.
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Given the definitions of f(x) and g(x) below, find the value of (gof)(-2).
f(x) = -2x + 7
g(x) = x² - 6x + 5
The value of (gof)(-2) for the given values of f(x) and g(x) is 60.
A Composite function may be defined as a function which is formed from the operation of combination of two functions. If f(x) and g(x) are two functions, then the composite functions of the given functions are fog(x) that is f(g(x)) and gof(x) that is g(f(x)).
It is given in the question that f(x) = -2x + 7 and g(x) = x² - 6x + 5.
Now, gof(x) = g(f(x)) = (-2x + 7)² - 6(-2x + 7) + 5
gof(x) = 4x² + 49 - 28x + 12x - 42 + 5
gof(x) = 4x² - 16x + 12
gof(-2) = 4(-2)² - 16(-2) + 12
gof(-2) = 16 + 32 + 12
=>gof(-2) = 60
Therefore, the value of gof(-2) is equal to 60.
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the annual salaries of all employees at a financial company are normally distributed with a mean mu
The value of the Z - Score is a -1.5.
According to the statement
We have to find that the z-score of the company.
So, For this purpose, we know that the
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
From the given information:
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000.
Then
Let X = annual salaries of all employees at a financial company
And
The z score probability distribution for the normal distribution is given by:
Z - Score = Annual salary - mean / s.d.
Then substitute the values
Z - Score = 28,000 - 34,000/ 4000
Z -Score = -6/4
Z -Score = -1.5.
So, The value of the Z - Score is a -1.5.
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Simplify the ABSOLUTE VALUE of the number
sentence to solve:
| -4 | + | 1 |=
3
5
-5
-3
Answer:
5
Step-by-step explanation:
Every number from the absolute sign will be positive.
Solve each system by elimination.
For the given systems of equations, we have that:
1) The infinite solutions have the following format: (3y - 12, y, 10y - 31).
2) There is one solution: (1.58, -3.45, 3.89).
3) There is one solution: (3, 2, 4).
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For item 1, the system is:
3x + y - z = -5.-4x + 2y + z = 17.-2x - 4y + z = -7.From the first equation, we have that:
z = 3x + y + 5.
Replacing on the second equation, we have that:
-4x + 2y + 3x + y + 5 = 17
-x + 3y = 12
x = 3y - 12.
Replacing on the third equation, we have that:
-2x - 4y + 3x + y + 5 = -7
x - 3y = -12
Since x = 3y - 12:
3y - 12 - 3y = -12
0 = 0.
Free variable, hence:
x = 3y - 12.y = y.z = 3x + y + 5 = 9y - 36 + y + 5 = 10y - 31.The infinite solutions have the following format: (3y - 12, y, 10y - 31).
For item 2, the system is:
x + 5y + 3z = -4.x + 2y - 3z = 8.-3x + 2y + 3z = -12.From the first equation:
x = -4 - 5y - 3z.
Replacing on the second equation:
-4 - 5y - 3z + 2y - 3z = 9.
-3y -6z = 13.
3y + 6z = 13.
Replacing on the third equation:
-3(-4 - 5y - 3z) + 2y + 3z = -12
12 + 15y + 9z + 2y + 3z = -12
17y + 12z = -14.
From the second equation, we have that:
z = (13 - 3y)/6.
Hence, replacing on the third again:
17y + 2(12 - 3y) = -14
11y + 24 = -14.
y = -3.45.
z = (13 - 3 x (-3.45))/6 = 3.89.
x = -4 - 5(-3.45) - 3(3.89) = 1.58.
Hence:
There is one solution: (1.58, -3.45, 3.89).
For item 3, the system is:
-4x - 2y + 5z = 4.5x + 2y - z = 15.5x - 2y - 3z = -1.From the second equation:
z = 5x + 2y - 15.
Replacing on the first:
-4x - 2y + 5(5x + 2y - 15) = 4
-4x - 2y + 25x + 10y - 75 = 4
21x + 8y = 79.
Replacing on the third:
5x - 2y - 3(5x + 2y - 15) = -1
5x - 2y - 15x - 6y + 45 = -1.
-10x - 8y = -46.
Adding both resulting equations, we have that:
11x = 33.
x = 3.
Then
21x + 8y = 79.
63 + 8y = 79
8y = 16
y = 2.
z = 5x + 2y - 15 = 5(3) + 2(2) - 15 = 4.
There is one solution: (3, 2, 4).
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The diagram represents two statements: p and q.
P
COD
A B
Which represents regions A, B, and C?
OpVq
Op-9
Ο g/p
O q-p
The regions is represented as :
A = p - p ∩ q , B = p ∩ q and C = q - p ∩ q
According to the question we have been given the Venn diagram with two regions p and q.
We need to find the representation of regions A, B and C.
As we can from the diagram,
region A is the area where the only p statement is there which exclude the B region . That is A is area of difference.
So it can be represented as
A = p - p ∩ q
region B is the intersection of p and q.
So it can be represented by
B = p ∩ q
region C is the area where only q statement is there and excludes the intersection region. That is C is area of difference
So it can be represented as
C = q - p ∩ q
Hence the regions is represented as
A = p - p ∩ q
B = p ∩ q
C = q - p ∩ q
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!!!!!PLEASE HELP!!!!!
Answer:The answer would be 8
Step-by-step explanation:You would have to do 8/-2+2 and that would leave you with 8 because -2+2 is 0.
AYUDA!! SE ME OLVIDO COMO RESOLVER GEOMETRÍA
P = 180 - (125 + 30)
P = 180 - 155
P = 25 degrees
Thus :
P = 25/180 n radian
P = 5/36 n
Which mean the first option is the correct answer.
Problem: Chrissy has 3 cats. Each cat weighs differently. The first and second cat weigh 7 kg altogether. The second and third cat weigh 8 kg altogether. The third and first cat weigh 11 kg altogether. What is the weight of each cat?
Answer:its a
Step-by-step explanation:
Another circular section of the island to be used to count marine iguanas has
a'radius of 1 kilometer. Researchers will sample this area to draw conclusions
about the iguana population on the entire island. What is the area of this
section? Use an approximation of n to two decimal places. Place your
approximation of the area in the orange chart below.
The area of the circular section is 3.14 square units
How to determine the area of the circular section?The given parameters are:
Radius, r = 1 kilometre
Rewrite the above properly as follows
So, we have
r = 1 kilometre
The area of the circular section is:
A = πr^2
So, we have
A = 3.14 * 1^2
Evaluate the exponent
So, we have
A = 3.14 * 1
Evaluate the product
So, we have
A = 3.14
Hence, the area of the circular section is 3.14 square units
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Algebra 2, Need help Fast
Answer:
[tex] - 2x - h[/tex]
Step-by-step explanation:
We are given a function [tex]g(x)=2-x^2[/tex]. We want to find [tex](g(x+h)-g(x))/h[/tex] To do so, first we need to work out the numerator
[tex]g(x+h)=2-(x+h)^2[/tex]. Therefore
[tex]g(x+h)-g(x)\implies 2-x^2-2xh-h^2-2x-x^2[/tex]
like terms cancel out leaving us with
-2xh-h²=h(-2x-h)So,
[tex] \displaystyle\frac{g(x + h) + g(x)}{h} = \frac{ h( - 2x - h )}{h} = \boxed{ - 2x - h}[/tex]
According to the 2010 census, the population of Nebraska was 1.8 × 106 people. Which state had a smaller population?
(1 point)
California: 3.7 × 107
Rhode Island: 1.1 × 106
Texas: 2.5 × 107
Missouri: 6 × 106
Rhode Island has a smaller population.
Here,
According to the 2010 census, the population of Nebraska was 1.8 × 106 people.
We have to find the smaller population.
What is Product?
The multiply of two or more number is called Product.
Now,
The population of Nebraska was 1.8 × 106 people.
1.8 x 106 = 190.8
And,
The population of California = 3.7 x 107 = 395.9
The population of Rhode Island = 1.1 x 106 = 116.6
The population of Texas = 2.5 x 107 = 267.5
The population of Missouri = 6 x 106 = 636
Hence, Rhode Island has a smaller population.
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helppppp plssssssssssssssssss
Answer:
x=3
Step-by-step explanation:
3x-7=2
+7 +7
3x=9
Divide by 3.
3x divided by 3 is x.
9 divided by 3 is 3.
x=3
Hope this helps.
The net below shows the dimensions of a triangular pyramid with equilateral base.
What is the lateral surface area of this triangular pyramid?
The Lateral surface of the triangular pyramid = 6 cm²
How to Find the Lateral Surface of a Triangular Pyramid?The lateral surface of a triangular pyramid is the area of the three triangular surfaces of the triangular pyramid, which excludes the area of the base.
The area of each triangular face = area of triangle = 1/2(base)(height).
Given the following as shown in the diagram:
Height of the triangular face = 7.2 cm
Base length of the triangular face = 5 cm
Lateral surface of the triangular pyramid = 3(1/2 × base × height)
Plug in the values
Lateral surface of the triangular pyramid = 3(1/2 × 5 × 7.2)
Lateral surface of the triangular pyramid = 3(18)
Lateral surface of the triangular pyramid = 6 cm²
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rationalise the denominator and simplify the square root of 15 over the square root of 5
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex]
to rationalise the denominator multiply numerator/ denominator by [tex]\sqrt{5}[/tex]
= [tex]\frac{\sqrt{15} }{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]
= [tex]\frac{\sqrt{75} }{5}[/tex]
= [tex]\frac{\sqrt{25(3)} }{5}[/tex]
= [tex]\frac{5\sqrt{3} }{5}[/tex]
= [tex]\sqrt{3}[/tex]
(b) After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression,
4,²
+45w+155, where w is the number of weeks. How much
25
will he have in 1 year?
Calculating the numeric value of the given function, it is found that Rob will have $2,603.16 in his account in one year.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the expression for the amount that he has into his account after w weeks is given by:
A(w) = 0.04w² + 45w + 155.
One year has 52 weeks, hence w = 52, and the amount is given finding the numeric value as follows:
A(52) = 0.04(52)² + 45(52) + 155 = $2,603.16.
Rob will have $2,603.16 in his account in one year.
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Find the total amount given the original price and tax rate. Round to the nearest hundredth if necessary. Original price: $123.28 Tax rate: 7.5%
7.5% = 0.075
0.075 x 123.28 = 9.246
So, the tax will be $9.20.
Total cost would be $132.48.