Evaluate the expression 5 to the second power (72-45) divided by 5

Answer:

The y coordinate of point R is  [tex]-9[/tex]

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

In this problem

[tex]R(x2,y2)[/tex]

[tex]Q(-2,-6)=(\frac{-5+x2}{2},\frac{-3+y2}{2})[/tex]

so

[tex]-2=(-5+x2)/2[/tex] --->[tex]x2=-4+5=1[/tex]

[tex]-6=(-3+y2)/2[/tex] --->[tex]y2=-12+3=-9[/tex]

therefore

The y coordinate of point R is  [tex]-9[/tex]

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer: [tex](f\°g)(0)=3[/tex]

Step-by-step explanation:

- For the function g(x) you must find the value of y (output value) when [tex]x=0[/tex]. As you can see in the graph (observe the parabola), when [tex]x=0[/tex] (input value), then:

[tex]y=2[/tex] or [tex]g(0)=2[/tex]

- Now, 2 will be the input value of the function f(x). Then,  you must find the value of y (output value) when [tex]x=2[/tex]. As you can see in the graph of this function, when [tex]x=2[/tex], then:

[tex]y=3[/tex] or [tex]f(2)=3[/tex]

Therefore, you can conclude that:

[tex](f\°g)(0)=3[/tex]

The correct answer is 8 yd

answer: D

explanation:

volume is equal to length * surface area.

surface of a tube base is a circle, so it' surface are can be calculated as:

[tex]\pi \: {r}^{2} [/tex]

where r is a radius

[tex] r \: = \frac{1}{2} diameter[/tex]

so you calculate volume V as:

[tex]v \: = \pi( {r}^{2} ) \times length \: = \pi \times \frac{1}{4} \times {diameter}^{2} \times length[/tex]

[tex]v = 3.14 \times \frac{1}{4} \times 4 \times 4 \times 24 = 301.44[/tex]

so the answer is D

a.)0.4 is the multiplier

b.)$32 after 1 year, $2.048(or $2.05) after 4 years

c.)V(t) = 80(0.4)t

d.)10 years because it will be below 2 cents

e.) [The graph isn't hard, you just have to plug in the numbers into y=80(0.4)^x]

The multiplier we would use to calculate the DVD players is [tex]80(0.4)^x[/tex].

We get exponential rise when the base of the variable exponent is greater than 1 and exponential decay when base is less than 1.

According to the given question a DVD player loses 60% of its value every year it is a video store.

Also given that the initial value of the DVD player was 80 dollars.

If every years it looses 60% of it's value means it retains it's 40% value and 40% in decimal or fraction can be written as 40/100 = 4/10 = 2/5 = 0.4.

Let us denote the numbers of years by x.

∴ To calculate DVD player value each year after year we'll use [tex]80(0.4)^x[/tex] and it will be an exponential decay as multiplies is less than 1.

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Answer:

C. x = -5.6 and x = -1.4

Step-by-step explanation:

The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]. Here a=1, b=7, and c=8.

Substitute and you'll have:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-7+/-\sqrt{7^2-4(1)(8)} }{2(1)}=\frac{-7+/-\sqrt{49-32} }{2)}[/tex]

[tex]\frac{-7+/-\sqrt{17} }{2}=\frac{-7+/-4.1 }{2}= -1.4, -5.6[/tex]

Answer:

$8.25

Step-by-step explanation:

We first need to find the amount of money we give the cashier

20+10 = 30

We give the cashier 30 dollars

Our bill was 21.75

30.00

-21.75

---------------

We need to borrow

2 10.00

-2 1  .75

---------------

We need to borrow

2 9. 10 0

-2 1  .7  5

---------------

We need to borrow

2 9. 9  10

-2 1  .7  5

---------------

  8 .2   5

We will get $8.25 back from the cashier

Answer:

Step-by-step explanation:

I gave total $20+$10= $30

$30-$21.75= $8.25

Answer:

1/4 or 0.25

Step-by-step explanation:

Isn't latex a devil?

You want to know the probability of a blue marble.

Formula

P(blue) = #Blue / # Total

Givens

#Blue = 333

#Total = 333 + 444 + 555 = 1332

Solution

P(blue) = 333 / 1332      Divide by 111

P(blue) = 3/12

P(blue) = 1/4 or 0.25

Answer:

1/4 or 0.25

Step-by-step explanation:

I'm pretty sure the answer is D

Answer:

The answer is D

Step-by-step explanation:

To find the slope you do y2-y1/x2-x1. This will leave you with 3/1 which is equivalent to 3.

Answer:

the answer is 3/4

Step-by-step explanation:

Answer:

The correct answer is 3/4

Step-by-step explanation:

1/2+1/4=3/4

The exact circumference of a circle with a diameter of 15 inches is 41.72 inches

Answer: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. The formula  A=1/2 bh

Answer: the trainer uses a stimulus, paired with a reward to ge the response they want.

Step-by-step explanation:

Answer:

Sarah is 22

Step-by-step explanation:

64 times 4 =44

44 divided by 2= 22

The surface area of a rectangular prism is SA = 2wl + 2lh + 2hw

Answer:

There is no prism

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 is the furthest away from the average.

The number 0 would be your outlier

Answer:

D.

Step-by-step explanation:

The pythagorean theorem says that a²+b²=h², therefore h = [tex]\sqrt{a^{2} +b^{2} }[/tex].

Based on Pythagorean theorem, the best solution for h that Paul writes is [tex]h=\sqrt{a^2 + b^2}[/tex]

Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]h^2 = a^2 + b^2[/tex]

Where:

Simplifying further, we have:

[tex]h^2 = a^2 + b^2\\\\h=\sqrt{a^2 + b^2}[/tex]

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3^2 = 9

3^4= 81

9 x 81 = 729

Your answer is 729 . Good luck (:

Answer:

D

Step-by-step explanation:

The Answer is D, first you would multiply A by 2, then divide it by h. You would then subtract b2 giving you D.

The correct option is D

See the image

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

[tex]\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216[/tex]

Answer:

[tex]4.4\ hours[/tex]

Step-by-step explanation:

we know  that

using proportion

Ryan

Find how much can clear in one hour

[tex]\frac{100}{7.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/7.5\\ \\x=13.33\%[/tex]

Ethan

Find how much can clear in one hour

[tex]\frac{100}{10.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/10.5\\ \\x=9.52\%[/tex]

therefore

Ryan +Ethan in one hour can clear--------> [tex]13.33\%+9.52\%=22.85\%[/tex]

by proportion

[tex]\frac{100}{x}\frac{\%}{hours}=\frac{22.85}{1}\frac{\%}{hours}\\ \\x=100/22.85\\ \\x=4.4\ hours[/tex]

The number in the parenthesis is the X value and they are looking for what the Y value is at that specific X.

So when you look at f(-2), find the Y value where the line crosses.

At X-2, the line crosses Y at -2

At X = 2, the line crosses at Y = 2

At X = 4, the line crosses at Y = 1

The answer is -2,2,1

Answer:

The pressure is [tex]20\ psi[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]V*P=k[/tex]

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For [tex]V=100\ in^{3}[/tex],[tex]P=25\ psi[/tex]

step 1

Find the value of k

substitute the values of V and P

[tex]100*25=k[/tex]

[tex]k=2,500[/tex]

The equation is equal to  [tex]V*P=2,500[/tex]

step 2

Find the pressure when the volume is 125 cubic inches

For [tex]V=125\ in^{3}[/tex]

substitute in the equation and solve for P

[tex]125*P=2,500[/tex]

[tex]P=2,500/125=20\ psi[/tex]

Answer:

3 ± i5

Step-by-step explanation:

Here we're given four sets of possible roots of the given polynomial.   Each set consists of two complex quantities and 1 real quantity.

First, we determine whether +4 is a root, then whether -4 is a root.  Let's use synthetic division to do that:

     -----------------------

4   /  1   -2    10   136

             4      8    72

    ---------------------------

        1     2    18    208     Since the remainder is not zero, 4 is not a root.

Eliminate the first two possible answer choices, and assume that -4 is a root.

Let's check this out to be certain:

     -----------------------

-4  /  1   -2    10   136

             -4   24  -136

    ---------------------------

        1     -6    34    0

Since the rem. is zero, -4 is a root, and the coefficients of the 2nd-degree quotient are 1, -6 and 34.

In other words, a = 1, b = -6 and c = 34.

Let's apply the quadratic rule to find the roots:

       6 ± √(36 - 4[1][34] )       6 ± √ (-100)

x = ------------------------------ = ----------------------- = 3 ± i5

                     2                                   2

So the correct answer is the last one of the four given possible answers:

3 ± i5

Answer:

[tex]3+5i, 3-5i,-4[/tex]

Step-by-step explanation:

Given is a cubic equation in x as

[tex]x^3-2x^2+10x+136=0[/tex]

We know by remainder theorem if f(a) =0 then x=a is a root

Constant term = 136 has factors as 1,2,4,8, 17, 34

We find that f(a) not 0 for a =1,2.

[tex]f(1) = 144\\f(2) = 156\\f(-1) = 123\\f(-4) = -64-2(16)+10(-4)+136 = 0[/tex]

Hence [tex]x=-4[/tex] is one zero.

We can divide by x+4 to make it as a quadratic equation

[tex]x^3-2x^2+10x+136=(x+4)(x^2-6x+34)[/tex]

Now using quadratic formula we can find other roots

[tex]x^2-6x+34=0[/tex] has roots as

[tex]x=\frac{6+/-\sqrt{36-136} }{2} \\=3+5i, 3-5i[/tex]

Thus roots are

[tex]3+5i, 3-5i,-4[/tex]

Answer:   [tex]\bold{x^{\frac{1}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[6]{x^2} =x^{\frac{2}{6}}=x^{\frac{1}{3}}[/tex]

63cm is smaller than 6 m

63 cm is less than 6 m. A centimeter is a small unit used to measure length. It is equal to one hundredth of a meter. The term "centi" is used in the International System of Units to represent 1/100 of something.

To look at the lengths of 63 cm and 6 m, one need to ensure that both values are in the same unit of measurement. Since 6 m is in meters, we should convert 63 cm to meters before making the comparison.

1 meter is equal to 100 centimeters, so one can convert 63 cm to meters by dividing it by 100:

63 cm = 63/100 m = 0.63 m

So,  both values are in meters, and one can compare them:

0.63 m < 6 m

Therefore,  one can say that 63 cm is less than 6 m.

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♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ We know that the total amount of distance he has to go is 8/8.

Add 3/8 and 1/8.

3/8+1/8=4/8. He went half of the way already.

Since he needs 8/8 and he already went 4/8, he has 4/8 left, or 1/2 left to go.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

456.5

Step-by-step explanation:

The area of circle B is 4,500.81 inches².

The first step to take in order to determine the answer is to determine the value of the diameter of circle B.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius

500 = 3.14r²

r = √(500 / 3.14)

r = 12.62 inches

Diameter = 2 x radius

2 x 12.62 = 25.24 inches

The second step is to determine the diameter of circle B.

Dimeter of circle B = 3 x 25.24 inches = 75.72 inches

Radius of circle B = 75.72 inches / 2 = 37.86 inches

Determine tie area of circle B

Area of circle B = 3.14 x 37.86² = 4,500.81 inches²

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The slope is undefined because it is a vertical line

Answer:

Step-by-step explanation:

The vertical line equation has the form x = a (a - any real number).

The vertical line has an undefined slope.

We have x = -4. It's a vertical line. Therefore, the slope is undefined.