Use △ABC, in which AB=48, AC=64, and BC=80, to answer the question.

Answer:

This function is True

Step-by-step explanation:

Since there is one value of  y  for every value of  x .

Step-by-step explanation:

[70,30] = 210 miles per hour

d=76.157t is the expression for two vehicles, a car and a truck which were distance apart d (in miles) at the end of t hours.

Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at an average speed of 30 miles per hour. we need to find expression for their distance apart d at the end of t hours

Distance=Speed*Time

distance= speed * time.

*70t be the car traveling EAST at 60 miles per hour after t hours

*30t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.

*Use the Pythagorean Theorem to find the distance d.

The Pythagoras theorem states that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

d^2=(70t)^2+(30t)^2

d^2=4900t^2+900t^2

d^2=5800t^2

d=76.157t

Therefore d=76.157t is the required expression for their distance apart d (in miles) at the end of t hours.

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Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

Answer:

B

Step-by-step explanation:

The absolute value of a number means the distance from 0.

For example, |-2| is 2 units from 0.

|-8| = 8

-8 is 8 units from 0.

It is important to consider salary and benefits because you should consider how much money you need to buy necessities and a few things you want, but you should also look into whether the benefits can wave some of the necessity costs, such as health insurance, etc.

Answer:

This is really weird. None of them seem to be right.

For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.

However, if I had to choose one, I'd choose the second option. It's the closest to being correct.

Answer:

x = 114°

y = 27

Step-by-step explanation:

To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.

To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.

Answer:

x= 114,

y= 27

Step-by-step explanation:

x= 180 - 66 = 114

6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27

Answer:

the third one

Step-by-step explanation:

use quadratic equation

Answer:

D.

Step-by-step explanation:

The only thing you can do this this expression is factor out a 9 (GCF). That would give you 9(25x² - y). None of those answer choices have that, so your answer is D.

Answer:

cannot be factored

Step-by-step explanation:

the only thing you can do is factor out the 9

Answer:

y = -3/2x + 1

Step-by-step explanation:

Perpendicular slopes are negative reciprocals of each other.

After you convert that equation to slope-intercept form, you can get the negative reciprocal of the slope and put it in the equation. Then, insert the points(-2,-2) in it and solve it to find c. In this case, it's 1.

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]3x+6=5x-4[/tex]

[tex]3x-5x=-4-6[/tex]

[tex]-2x=-10[/tex]

[tex]2x=10[/tex]

[tex]2x/2=10/2[/tex]

[tex]x=5[/tex]

The number is 5.

Answer:

5

Step-by-step explanation:

Answer:

P(0,2)

Q(1/2, 0)

Step-by-step explanation:

For P, set x=0 (that is given!).

y = 2 - 4*0 = 2

For Q, set y=0:

0 = 2 - 4x

4x = 2

x = 1/2

(the two other questions follow quite easily from this answer)

Answer:

2

Step-by-step explanation:

3x + 2 =y y=8

3x + 2=8

3x=6

x=2

Answer:

x = 2

Step-by-step explanation:

3x + 2 = 8

3x = 6

x = 2

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Answer:

x = π n + cot^(-1)(22/29) for n element Z

Step-by-step explanation:

Solve for x:

cos(x) = (22 sin(x))/29

Divide both sides by sin(x):

cot(x) = 22/29

Take the inverse cotangent of both sides:

Answer: x = π n + cot^(-1)(22/29) for n element Z

Answer:

The amount invested at 9% is $30,000

Step-by-step explanation:

Mardi received an inheritance of $40,000.

Let x be the amount invested at 9%.

So, Amount invested at 10% = 40000-x

Her total annual income from the investments was  $3700.

So, [tex]0.09x+0.1(40000-x)=3700[/tex]

[tex]0.09x+4000-0.1x=3700[/tex]

x=30000

Hence the amount invested at 9% is $30,000

Answer:

2164.86432

Step-by-step explanation:

2000(1+(.08/4))^4

2164.86

Answer:

640π units squared.

Step-by-step explanation:

The formula for the surface area of a cylinder is 2πrh+2πr².

Where r is the radius and h is the height.

2πrh+2πr²

Apply the formula.

= 2π(10)(22)+2π(10)²

Multiply the terms.

= 440π+200π

Add both terms.

= 640π

The answer in terms of π is 640π units squared.

Answer:

Solution,

Radius(r)=10

height(h)=22

Now,

[tex]surface \: area \: of \: cylinder \\ = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \: r(h + r) \\ = 2 \times \pi \times 10(22 + 10) \\ = 20 \: \pi \times 32 \\ = 640\ \: pi \: {units}^{2} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

All real numbers or (negative infinity, positive infinity)

Step-by-step explanation:

The equation given is a parabola. A parabola has infinite values of x inputs that produce an infinite amount of y outputs. All values of x produce an output, so any number of x would work.

Answer:

Step-by-step explanation:

(-∞,+∞), since any quadratic equation graph (quadratic parabola) has only range restrictions (the min and max), but the for any x value there is a y value.

Answer:

Perimeter = 86.4 (m)

Step-by-step explanation:

A square (with side x) has an area of 466.56 (m^2)

=> x^2 = 466.56

=> x = sqrt(466.56) = 21.6

=> Perimeter of this square: P = 4(x) = 4(21.6) = 86.4 (m)

Hope this helps!

Answer:

[tex]\sqrt{x+4} \\\\-\sqrt{x+4}[/tex]

Step-by-step explanation:

Answer:

the answer would be B

Step-by-step explanation:

by flipping it to the other side u will have the same numbers but some might be negative hoped it was right

Answer:

its B

Step-by-step explanation:

Answer:

There are 36 total possible outcomes.

Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.

Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.

Rolling a sum of 9, there are 4 possibilities, which is a better chance.

Rolling a sum less than 5, there is 6 possibilities, which is a better chance.

Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.

Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.

Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.

The answers would be:

Rolling a sum of 9,

Rolling a sum less than 5

Rolling greater than 5 but less than 7

Answer:

There are 36 total

Step-by-step explanation:

Answer:

x=-2

y=-10

Step-by-step explanation:

x+y=-12

x-y=8

x=y+8

(y+8)+y=-12

2y+8=-12

2y=-20

y=-10

x+10=8

x=-2

Answer:

[tex]x = - 2 \\ y = - 10[/tex]

Step-by-step explanation:

[tex]x + y = - 12 \\ x - y = 8[/tex]

[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]

[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]

Answer:

The probability under the given conditions is found:

P(7) = 0.079

Step-by-step explanation:

Let x be the number of adults who believe in reincarnation.

Adults randomly selected = 8

percentage of adult believe in reincarnation = 40% = 0.4

x follows binomial distribution:

P(x) =  [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]

where

n= total people random people selected = 8,

x = selected for the part = 7,

p = probability given = 0.4

P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]

P(7)= (8)(0.0164)(0.6)

P(7) = 0.07872

Rounding off to 3 decimal positions

P(7) = 0.079

Answer:

D

Step-by-step explanation:

[tex]P(1+r\%)^t[/tex]

[tex]700 \times (1+0.8\%)^5[/tex]

[tex]700 \times (1+0.8/100)^5[/tex]

[tex]700 \times (1+0.008)^5[/tex]

[tex]700 \times (1.008)^5[/tex]

The value expresses the population five years later is (700)(1.008)^5.

We have given that in 1997 the population of a small town was 700.

The annual rate of increase is about 0.8%.

We have to find the population for 5 years

[tex]F=P(1+r)^t\\\\[/tex]

Here p=700

r=0.8/100=0.008

t=5

Use the above value in the formula so we get,

[tex]F=700(1+0.008)^5[/tex]

[tex]F=700(1.008)^5[/tex]

Therefore option D is correct.

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Answer:

6

Step-by-step explanation:

The requreid volume of the composite figure is 310.86 cm³ (rounded to the nearest hundredth).

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

To find the volume of the composite figure, we need to find the volumes of the cylinder and cone and add them together.

The volume of the cylinder is:

[tex]V_{cylinder} = B\times h[/tex]

where B is the area of the base and h is the height.

The base of the cylinder is a circle with a radius 3 cm, so:

[tex]B = pi\times r^2\\B = 3.14\times (3)^2\\B = 28.26 cm^2[/tex]

The height of the cylinder is 8 cm, so:

= 8 cm

Therefore, the volume of the cylinder is:

[tex]V_{cylinder} = B\times h\\V_{cylinder} = 28.26 cm^2\times 8) cm\\V_{cylinder} = 226.08 cm^3[/tex]

The volume of the cone is:

[tex]V_{cone} = 1/3B\times h[/tex]

where B is the area of the base and h is the height.

The base of the cone is a circle with a radius 3 cm, so:

[tex]B =\pi\times r^2\\\\B = 3.14\times (3)^2\\B = 28.26 cm^2[/tex]

The height of the cone is 9 cm, so:

h = 9 cm

Therefore, the volume of the cone is:

[tex]V_cone = 1/3*B*h\\V_cone = 1/3*(28.26 cm^2)*(9) cm\\V_cone = 84.78 cm^3[/tex]

The total volume of the composite figure is the sum of the volumes of the cylinder and cone:

[tex]V_{total} = V_{cylinder} + V_{Cone}\\V_total = 226.08 cm^3 + 84.78 cm^3\\V_total = 310.86 cm^3[/tex]

Therefore, the volume of the composite figure is 310.86 cm³ (rounded to the nearest hundredth).

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Answer:

8

Step-by-step explanation:

i don’t have time now but i promise i’ll give it when i have time

Answer:

8

Step-by-step explanation:

Step 1: Find # of gender toys

80(0.4) = 32 toys for boys

80 - 32 = 48 toys for girls

Step 2: Find % made

32(0.5) = 16 toys made (boys)

48(0.5) = 24 toys made (girls)

Step 3: Find the difference

24 - 16 = 8

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

A. x = 2

E. x = -5

Step-by-step explanation:

Step 1: GCF

2(x² + 3x) = 20

x² + 3x = 10

Step 2: Complete the Square

x² + 3x + 9/4 = 10 + 9/4

(x + 3/2)² = 49/4

Step 3: Solve

√(x + 3/2)² = √49/4

x + 3/2 = ±7/2

x = -3/2±7/2 or x = -5, 2

Answer: 6/25

Step-by-step explanation:

There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25

Answer:

7

Step-by-step explanation:

21e + 35 can also be 7(3e+5) since 7 is the gcf of these terms