Find the area of a square with side length of 3 inches.

Step-by-step explanation:

you mean to say 2 to the power of 10 and 3 to the power of 5

The most likely error is that, the student multiplied 27 by 3, after the first computation

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(3^3)^1

As a general rule, we start by evaluating the expression in the inner bracket

So, we have

(3^3)^1 = (3 x 3 x 3)^1

Evaluate the products

So, we have

(3^3)^1 = (27)^1

Next, we evaluate the exponent

So, we have

(3^3)^1 = 27

The above implies that the value of the expression is 27 and not 81 as the student solved

The most likely error is that, the student multiplied 27 by 3, after the first computation

Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation

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Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

42/18=[tex]\frac{7}{3}[/tex]

Rendell took 2.34 hr to cycle 42 km.

Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed    =   18 km/hr

Speed is define as the distance covered per unit time,

Here,
Time = Distance / speed
        =  42 / 18
        =  2.34 hr

Thus, Rendell took 2.34 hr to cycle 42 km.

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Answer:

7/12ths

Step-by-step explanation:

2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:

Answer:

h(X)=5x-6

Step-by-step explanation:

Fill in variables with corresponding equations.

h(X)=(3X-5)-(-2X+1)

Distribute the - sign to (-2X+1)

h(X)=3X-5+2X-1

Add and subtract values together to find answer

h(X)=5X-6

Answer:

6 and 9 twice is 30

Step-by-step explanation:

6 plus 9 is 15 twice is 30

Answer:

10.5

Step-by-step explanation:

30 - 9 = 21

21 ÷ 2 = 10.5

Soln:

Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).

Now,

Use distance formula and calculate it

20 - (+7) + - (6)

Answer: 7

Answer:

Answer is 7

20-(+7)+(-6)= ?

(20-7)-6

13-6

7

To find the slope, we must know the equation

 --> [tex]slope = \frac{y2-y1}{x2-x1}\\[/tex]

Now using the information given, (-2,1) and (2,6), let's plug that into the equation

--> [tex]slope = \frac{6-1}{2--2} = \frac{5}{4}[/tex]

In this case, the slope is 5/4

Hope that helped!

Answer:

[tex]\rn\hookrightarrow 5/4[/tex]

Step-by-step explanation:

[tex]Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}[/tex]

Answer:

the answer will have to be c and d

Answer:

24

Step-by-step explanation:

area of a triangle = 1/2 ( base length * height )

given base length : 6

given height : 8

area of triangle = 1/2(8*6)

==> multiply 8 and 6

area of triangle = 1/2(48)

==> multiply 1/2 and 48

area of triangle = 24 square units

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9

Answer:

xy=6

Step-by-step explanation:

sin θ= opposite side÷ hypotenuse

sin 30°= xy÷12

sin 30°=1/2

Therefore,

1/2=xy÷12

1/2×12=xy

xy=6

Answer:

  B.  (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

  F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

Answer:

The correct answer is B

Step-by-step explanation:

This is correct because it is correct

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

Answer:

Step-by-step explanation:

= -125 ÷ 5

= -25

It's negative

Answer:

A) is 49 degrees and B) is 63

Step-by-step explanation:

they are kinda like mirrors

Answer:good job!

Step-by-step explanation:

Step-by-step

[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]

[tex]\\ \rm\rightarrowtail m=10/0[/tex]

[tex]\\ \rm\rightarrowtail m=\infty[/tex]

Answer:

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

Step-by-step explanation:

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

SO WE HAVE THE SYSTEM:

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.

The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.

x + y = 9

0.10x + 0.70y = 0.30 * 9

0.10x + 0.70y = 2.7

Multiplying the first equation by -0.10:

-0.10x - 0.10y = -0.9

Adding the last 2 equations:

0 + 0.60y = 1.8

y = 1.8 / 0.6 = 3 gallons.

So x = 9 - 3 = 6 gallons.

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Replace y(x) with 4:

4 = 4x

Divide both sides by 4:

x = 1

Answer:  

hello your question is incomplete attached below is the complete question

Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

Step-by-step explanation:

average score for anxious people  = 100

standard deviation  = 14

mean of anxious people who take the anti-anxiety drug

null hypothesis ( H ) =

Alternate hypothesis ( H1 ) ≠

using the z- test ( hypothesis test ) the condition that is not required is the condition that

The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

Answer:

Step-by-step explanation:

diameter = 2r
radius = C/2π
area = πr^2

Answer:11/c

Step-by-step explanation:

[tex]Your answer it W^2 = 1024/4 = 256.[/tex]

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

63 units^2

Step-by-step explanation:

the area of the rectangle is 48 units^2

l*h=a

6*8=a

48=a

The area of the triangle is  15 units^2

b*h/2=a

6*5/2=a

30/2=a

15=a

Let me know if you have any further questions, hope this helped!

Answer:

42 hours

Step-by-step explanation:

First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.

Thank you

42 hours Susan worked this week to $378.

Given that, Susan's salary varies directly as the number of hours worked.

We need to find out how many hours did she work this week.

Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.

According to the question, last week she earned $144 for working 16 hours. This week she earned $378.

Let the number of hours she works this week be x.

So, the proportion is 144:16::378:x

⇒144×x=16×378

⇒x=42

Hence, 42 hours Susan worked this week to $378.

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Answer:

13) 57.6 units²

14) 285.6 units²

15) 114.2 units²

(All answers rounded off to the nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.