Find the volume of this trapezoidal prism.

ax^2 + bx + c

x^2 + 12x + 3 = 7

x^2 + 12x = 4

Take b, half it, then square it--

x^2 + 12x + 36 = 40

That equation becomes

(x+6)^2 = 40

+ 6 = ± (square root of 40)

= 0.324555

= −12.3246

Answer:

1/6?

Step-by-step explanation:

Answer:

The cost of 1 apple is a third of the price of 3 apples

Step-by-step explanation:

google says that apples are $1.49 a pound

1=$1.49

3=$4.47

Answer:

-13 - [tex]\frac{7}{4}[/tex]b

Look at the attached picture

Hope it will help you

Answer:

this answer is attached to the picture

Answer:

Option B.

Step-by-step explanation:

If the cost of the house (y) is in thousands and area of the house is x ft².

Cost of the house is modeled by the equation given,

y = 0.06x + 60.5

By substituting the values in the line of best fit,

235 = 0.06x + 60.5

0.06x = 235 - 60.5

0.06x = 174.5

x = [tex]\frac{174.5}{0.06}[/tex]

x = 2908.33 ft²

x ≈ 2900 ft²

Therefore, Option B will be the correct answer.

Answer:

The line equation is y = 1.5x + 3

Fill the first space with '1.5' and the second with '3'

Step-by-step explanation:

The generic model for a line equation is:

y = ax + b

To find the parameters 'a' and 'b', we can use two points of the graph in the equation.

Using the point (0, 3), we have:

3 = 0*a + b

b = 3

Using the point (-2, 0) and the value of b above, we have:

0 = -2*a + b

2a = 3

a = 1.5

So the line equation is y = 1.5x + 3

Answer:

78,624,000 license plates

Step-by-step explanation:

For each of the 4 numbers, we have the following possibilities:

First number: 10 digits possible

Second number: 9 digits possible (one used)

Third number: 8 digits possible (two used)

Fourth number: 7 digits possible (three used)

For each of the 3 letters, we have the following possibilities:

First letter: 26 digits possible

Second letter: 25 digits possible (one used)

Third letter: 24 digits possible (two used)

The total number of license plates is the product of all these possibilities:

Number of plates = 10 * 9 * 8 * 7 * 26 * 25 * 24 = 78,624,000 license plates

The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

In a certain country, the car license plate is formed by 4 numbers from the digits 1-9 followed by 3 letters from the alphabet.

There are 10 numbers.

And there is 26 alphabet.

The license plates can be formed if neither the digits nor the letters are repeated will be

[tex](number)(alphabet)\\\\(9*8*7*6)(26*25*24) \\\\78,624,000[/tex]

The license plates can be formed if neither the digits nor the letters are repeated is 78,624,000.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

Answer:

Step-by-step explanation:

−5ab+4a−2

Answer:

-5ab+4a-2

Step-by-step explanation:

(-2ab+4a-1) - (3ab+1)

-2ab+4a-1 -3ab-1 (you put them out of the brackets by following the procedures. )

-2ab-3ab+4a-1-1 (then you collect like terms)

-5ab+4a-2

Answer:

78.5

Step-by-step explanation:

The formula for area of a circle is pir^2

So we have 5 for r, so r^2 would be 25.

Using 3.14 for pi, we get the answer is 78.5

Answer:

78.5

Step-by-step explanation:

sry forgot a step

Answer:

25

Step-by-step explanation:

4.6 + 1.2g = 54.6 -.8g

1.2g + .8g = 54.6 - 4.6

2g = 50

g = 25

Answer:

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. Let's solve for the initial value of the linear function that represents thissituation. => 45 gallon aquarium at rate of 15 gallons per minute.

=> 45 gallon / 15 gallon = 3 minutes. Therefore with the rate of 15 gallons per minutes, Hideki will be able to finish the 45 gallon aquarium in 3 minutes.

Step-by-step explanation:

Answer:

5 • (2x + 1) • (x + 1)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((2•5x2) +  15x) +  5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 + 15x + 5  =   5 • (2x2 + 3x + 1)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 + 3x + 1  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2  

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   3 .

     -2    +    -1    =    -3  

     -1    +    -2    =    -3  

     1    +    2    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  2  

                    2x2 + 1x + 2x + 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (2x+1)

            Which is the desired factorization

So the answer is:

 5 • (2x + 1) • (x + 1)

Answer:

2 (that is the answer, hope i helped)                                                                                                  

Answer:

the image provided is the answer.

Answer:

I am pretty sure the answer is A.

Answer:

Minimum value = −13/4

Step-by-step explanation:

Answer:

-37/4

Step-by-step explanation:

The minimum value of the parabola y =x² + 5x – 3 is  f(-b/2a)

in this case a = 1 and b = 5 and c = -3

then

-b/2a = -5/2(1) = -5/2

then

f(-b/2a) =  f(-5/2) = -37/4

Answer:

D

Step-by-step explanation:

this figure equals to 180

so you put add 88 + b+ b=

since 2b is the closest to b+b

Answer:

D I did the quiz i had to figure it out

Step-by-step explanation:

Answer:

Step-by-step explanation:9/5 is the answer

(-5)^2 + (-9)^2 =c^2

25 + 81 = c^2

106= c^2

Sqr rt 106 = c

By using trigonometric relations, we will see that:

cot(θ) = 9/5.

We know that if an angle's terminal side passes through the point (x, y), then we can write the tangent as:

tan(θ) = y/x

In this case, we know that the terminal side passes through (-9, -5), then the tangent is:

tan(θ) = -5/-9 = 5/9

And the cotangent is the inverse of the tangent, then:

cot(θ) = 1/tan(θ) = 9/5.

If you want to learn more about trigonometric relations, you can read:

https://brainly.com/question/8120556

Answer:

$150-$129-($129*7%)=$11.97

$531.25

$9414.5

Step-by-step explanation:

The amount that Anike would have left is the budgeted amount minus the regular price as well as the applicable sales tax.

Amount left=$150-$129-($129*7%)=$11.97

The amount that Harper would have to pay is the purchase price of $500 plus the 6.25% of sales price as sales tax i.e $500+$500*6.25%=$531.25

The yearly tax fees is the appraised value multiplied by property tax rate i.e $250,000*3.7658%=$9414.5

The property tax rate is 3.7658% not 37.658%

Answer:

10

Step-by-step explanation:

13x + 5x = 180

18x = 180

x = 10

Answer: $ 345

Step-by-step explanation:

The equation is 5.50x + 4y

Plugging the numbers in: 5.50(30) + 4(45)

$165 worth of hamburgers + $180 worth of hot dogs = $345 total sales revenue

Hello hello!

Solving this is simple, just remember the vertical angles theorem. Due to this theorem, you are able to conclude that x+40 and 60 are equal in terms of their angle measure. This means that to solve this, we need to set both sides equal to each other and solve for x, and plug it in!

STEP ONE: 60 = x + 40

DO: Subtract 40 from both sides.

STEP TWO: 20 = x

DO: You've answered the question!

Answer:

36 miles

Step-by-step explanation:

Maya can bike 9 miles in one hours, meaning that she can bike 27 miles in 3 hours. Since Maya can run 18 miles in 3 hours, and half of 3 is 1.5, she can run 9 miles in 1.5 hours.

Biking Miles + Running Miles= Total Miles

27 + 9= 36 total miles

Answer:

36

Step-by-step explanation:

just trust me and focus on ur test.

Answer:

common difference=-3

Step-by-step explanation:

[tex] - 13 - ( - 16) = - 13 + 16 = - 3[/tex]

Answer:

it is +2 every time

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

b 72

Step-by-step explanation:

you multiply 6 times 4 times 3

hope this right

if it is wrong correct me

Answer:

x = -3 +/- sqrt(17)

Step-by-step explanation:

-6x - (x^2) - 8 = 0

-((x^2) + 6x + 8) = 0

(x^2) + 6x + 8 = 0

(x + 3)^2 - 1 = 0

(x + 3)^2 = 1

x + 3 = +/- sqrt(1)

x + 3 = +/- 1

x = -3 +/- 1

x = -4, -2

Answer: B. 140 cubic inches.

Step-by-step explanation:

The question is asking you to find the volume of the rectangular prism.

You can find this by using this formula:

[tex]V = w*h*l[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the sides of the rectangular prism into the equation:

[tex]V = 3.5 * 10 * 4\\\\V = 140[/tex]

The volume of the prism is 140 cubic inches.

The correct answer is B.

Using Pythagoras theorem,

H^2 = P^2 + B^2

h = 200

p = 2x

b = 6x

Solving,

(200)^2 = (2x)^2 + (6x)^2

40000 = 4x^2 + 36x^2

40000 = 40x^2

40000/40 = x^2

1000 = x^2

[tex]\sqrt{1000}[/tex] = x

x = 31.62 ft

Answer:

(0,−7)

Step-by-step explanation:

Since this is the equation of a straight line, there are no restrictions on what you could choose for a value of x. In "official" terms, we say the domain of the function is all real numbers.

Say you pick something simple like x=1. Now, insert this value, and the equation becomes

2−7=y

or y=−5

This means (1,−5) must be a point on the line, and it is also an ordered pair that satisfies the equation.