multiple choice
a. 126 pie cm^3
b. 84 pie cm^3
c. 504 pie cm*3

Answer:

2750

Step-by-step explanation:

825/30=27.5

27.5X100=2750

The total cost of the car will be $2,750.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

When Mr. Gree bought a used car he made a down payment of $825.

This was 30% of the total cost.

Let x be the total cost of the car.

Then the total cost of the car will be

30% of x = $825

0.30x = $825

x = $2,750

Then the total cost of the car will be $2,750.

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Answer:

33

Step-by-step explanation:

that is pretty close to a 45 degree angle so i would say about 33

Answer:

33

Step-by-step explanation:

First find the missing side...

11^2 + a^2 = 20^2

121 + a^2 = 400

400 - 121 = a^2

a^2 = 279

a = 16.7

A = 16.7, B = 11, C = 20

20 - 16.7 = 3.3

Estimate

3 x 11 = 33

Answer:

use a z* value accurate to TWO places for this problem. (Not z = 2)

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

;)

Answer:

3x(x+8)=0

x=0,-8

This is how to solve for x.

Answer: D

Step-by-step explanation:

If segment D moves downward it means its function has a negative slope so the line will be  decreasing.  

Answer:

D

Step-by-step explanation:

Obviously just because the slope is going down hence decreasing. \

Hope this helps! :)

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

Answer:

e. cannot be determined

Step-by-step explanation:

m = 1/2( x + x + 10) = 1/2(2x + 10) = x + 5

n = 1/2(x² + x + 10) =

m/n = (x+5)/(1/2(x² + x + 10))

Not enough information

Answer:

− y ln (27) + ln (9x) = 0

Answer:

C. Quadratic model

Step-by-step explanation:

Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear

Given:

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

The price of the corn per bushel with time = 5 + 0.15×t

The amount of corn left with time= 1000 - 10×t

Where;

t = Time in minutes

Value of the corn = Amount of corn left × Price of corn

Value of the corn = (1000 - 10×t) × (5 + 0.15×t)

=(1000-10t) × (5+0.15t)

=5,000 + 150t - 50t - 1.5t²

= -1.5t² +100t + 5000

Value of the corn= -1.5t² +100t + 5000.

It is a quadratic model

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

For function f:

x - 7 ≤ 0 and x ≥ 0

For function g:

x + 2 ≥ 0 and x - 5 ≤ 0

The sum of the f + g:

x - 7 + x - 5 ≤ 0

2x - 12 ≤ 0

2x ≤ 12

∴ x ≤ 6

Also, x + 2 ≥ 0

x ≥ -2

Hence, -2 ≤ x ≤ 6

The weight of a small starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of 10 grams. Find the weight that corresponds to each event (round your final answers to 2 decimal places)

a. Highest 10 percent

b. Middle 50 percent

Answer:

the weight that corresponds to  Highest 10% = 337.8

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Step-by-step explanation:

From the information provided for us:

we have the mean = 325

the standard deviation = 10

The objective is to find the weight that corresponds to each event  i.e for event (a) , highest 10%

So;

The probability of P (Z > z) = 10%

Same as:

0.1 = 1 - P( Z < z)

P( Z < z) = 1 - 0.1

P( Z < z) = 0.9

From the standard normal tables for z;

P( Z < 1.28) = 0.9

z = 1.28

Similarly. from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = (1.28 × 10) + 325

X = 12.8 + 325

X = 337.8

Therefore, the weight that corresponds to  Highest 10% = 337.8

b.  the weight that corresponds to  Middle 50 % can be computed as follows:

the region of z values at 0.50 lies between -0.674 and +0.674

from the z formula; we have:

[tex]z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]z \times \sigma = X - \mu[/tex]

[tex]z \times \sigma + \mu= X[/tex]

[tex]X= z \times \sigma + \mu[/tex]

X = -0.674 × 10 + 325  and  X = 0.674 × 10 + 325

X = - 6.74 + 325   and      X = 6.74  + 325

X = 318.26  and    X = 331.74

the weight that corresponds to  Middle 50 % lies between 318.26  and 331.74

Answer

pretty sure its a or c, sorry I cant be more specific

Step-by-step explanation:

The  measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.

Given:

∠CAD=58°

Hence:

∠BAD=180°-58°

∠BAD=122°

Since ∠ABD is isosceles, thus:

∠ADB-∠ABD

180°-122°=58°

2∠ADB=58°/2

∠ADB=29°

Therefore the  measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.

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Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

Answer:

B

Step-by-step explanation:

The common ratio r exists between consecutive terms in the sequence, that is

r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5

Hello!

Answer:

[tex]\huge\boxed{V = 60 m^{3}}[/tex]

Formula for the volume of a triangular pyramid:

V = 1/3(bh)

The base is a triangle, so b = 1/2(b · h)

Solve for the base:

b = 1/2(8 · 5)

b = 1/2(40)

b = 20 m²

Solve for the volume:

V = 1/3(20 · 9)

V = 1/3(180)

V = 60 m³.

Hope this helped you!

Answer:

60 cubic meters

Step-by-step explanation:

I used the formula V = 1/3 AH to figure it out

Answer:

Hey there!

The domain of the graph would be [tex]-2\leq x<9[/tex].

Let me know if this helps :)

Answer:

-2 to 9

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis

Answer:

move to the left 3 more spaces

Step-by-step explanation:

you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.

Keep the first number sign, change the next sign, and the next sign.

Answer:

d

Step-by-step explanation:

Answer:

second option

Step-by-step explanation:

The x- intercepts are the values on the x- axis where the graph crosses.

These are

x = - 3, x = - 1 and x = 3

Answer:

To determine if Y=-8 is a function, you must do the vertical line test. If you were to plot Y=-8 on a coordinate plane, you would see that at the point of (0,-8)[which is what Y=-8 is also] is on the Y axis and makes a horizontal linet hat passes through (o,-8).

Step-by-step explanation:

Answer:

graph

Step-by-step explanation:

did you mean in graph

Answer:

Hey there!

We can write a equations here:

3x+y=180

Also, since all of the angles have 3x on the outside, then y must be constant.

3y=180

y=60

Thus, for x, we have 3x+60=180, 3x=120, x=40.

2x+6y

2(40)+6(60)

80+360

440.

Let me know if this helps :)

Answer:

<4=<2

x+30=2x+15

x=15

therefore <4=(15)+30

=45°

Answer & Step-by-step explanation:

For this problem, we have two inequalities to solve for x.

3x - 91 > -87

17x - 16 > 18

Now that we know what our inequalities are, we will solve them as if we are solving for the value of x.

3x - 91 > -87

Add 91 on both sides.

3x > 4

The solution for the first inequality is 3x > 4

Now let's do the second inequality.

17x - 16 > 18

Add 16 on both sides.

17x > 34

Divide by 17 on both sides.

x > 2

The soultion for the second inequality is x > 2

Answer:

The answer is x>2

Step-by-step explanation:

Answer:

(- 1/2,5/3)

Step-by-step explanation:

Answer:

y = -2x - 8

Step-by-step explanation:

Find the slope using rise/run (y2 - y1) / (x2 - x1)

(-10 - 8) / (1 + 8)

-18/9

= -2

Next, plug in the slope and a point into the equation to find b:

y = mx + b

-10 = -2(1) + b

-10 = -2 + b

-8 = b

Now, plug this and the slope into the equation:

y = -2x - 8

Answer:

The answer is about 15 cm because if you use a ruler, it is a little under 15cm

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

most pens are under 15 cm by a a couple of millimeters. 15 cm  is in fact the best estimate. It really depends on the pen your using but the average pen is about 15 cm.

Answer:

c.

Step-by-step explanation:

Answer:

Hey there!

The graph is decreasing when the x values are between -1 and 1.

Let me know if this helps :)

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

                = [tex]\frac{\text{LM}}{\text{JM}}[/tex]

                = [tex]\frac{\text{LM}}{24}[/tex]

Since, Sin(K) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° = [tex]\frac{\text{LM}}{48}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}[/tex]

LM = 24√3

Now, tan(∠KJL) = [tex]\frac{\text{LM}}{24}[/tex]

                          = [tex]\frac{24\sqrt{3} }{24}[/tex]

Therefore, Option (1) will be the answer.

Answer:

Distributive property

Step-by-step explanation:

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

The  property can you use to show that 6x – 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5) is  Distributive property

What is Distributive property

To show that 6x - 3x + 9y + 4 + 11 is equivalent to 3(x + 3y + 5), we can use the distributive property of multiplication over addition.

The distributive property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

6x – 3x + 9y + 4 + 11 =

First, we combine like terms.

= 3x + 9y + 15

Now we use the distributive property to factor out a common factor.

= 3(x + 3y + 5)

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