f(x) = 4x^2 + 5x + 3; g(x) = 5x - 7, find g(f(x)).

Answer:

-51a^7

Step-by-step explanation:

-26a^7+(-25a^7) may be re-written as a^7(-26 - 25), or -51a^7

Check the picture below.

The measure of XZ is 72

A circle's arc is referred to as a portion or section of its circumference. A chord of a circle is a straight line that might be created by joining the arc's two ends. A semicircular arc is one whose length is exactly half that of a circle.

Given

θ = arc / 2

36 = arc/2

XZ= [tex]36*2[/tex]= 72

To know more about the arc of the circle refer to :

https://brainly.com/question/9762117

#SPJ2

Answer:

There is no number when substituted for x that will make the statement true.

Step-by-step explanation:

First you would simplify the left side:

6x + 8x= 14x

14x=10x

This statement isnt true no matter what you plug in the sides will never be equal

Answer: If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Step-by-step explanation

pennfoster

Answer:

1648 are boys.

Step-by-step explanation:

You divide the 3708 by 9 and get 412. Then you multiply that by 4 and get 1648

To find how many boys are in the school, first calculate the number of girls by multiplying the total students, 3708, by 5/9, resulting in 2060 girls. Subtracting this from the total gives 1648 boys.

The question asks how many students are boys in a school if 5/9 of the students are girls, and the total number of students is 3708. To solve this, first, we need to calculate the number of girls by multiplying the total number of students (3708) by 5/9. Then, to find the number of boys, we subtract the number of girls from the total number of students.

Therefore, there are 1648 boys in the school.

Answer:

b

Step-by-step explanation:

Given

[tex]\frac{x^2-2x-3}{4x^2-12}[/tex]

Substitute x = 3 into the expression

= [tex]\frac{3^2-2(3)-3}{4(3)^2-12}[/tex]

= [tex]\frac{9-6-3}{36-12}[/tex]

= [tex]\frac{0}{24}[/tex] = 0 → b

Answer:

b

Step-by-step explanation:

the answer is b:0

Answer:

d = 35(4) + 55(t)

Step-by-step explanation:

35 * 4 then added to 55 * the hours that "t" equals will then equal the total distance traveled, d

The distance traveled by a motorist travelling at 35 miles/hour for 4 hours and then at 55 miles/hour for t hours can be expressed as a function of time t, d(t) = 140 + 55t.

The subject of this question is functions, which is a topic in Mathematics. To express the total distance traveled as a function of t, we need to use the formula distance = speed x time. The motorist travels at 35 miles per hour for 4 hours, and then at 55 miles per hour for t hours. Therefore, the total distance d can be calculated as follows:

d = (35 mi/h x 4 h) + (55 mi/h x t h).

So, d = 140 mi + 55t mi.

Thus, the total distance traversed by the motorist, expressed as a function of time t in hours, is d(t) = 140 + 55t.

https://brainly.com/question/35114770

#SPJ2

Final answer:

Linda received $20 from each of her 5 relatives, as found by subtracting her original amount from the final amount and then dividing by the number of relatives.

Explanation:

The student has asked how much money Linda received from each relative. Linda started with $15 in her coin bank and ended up with $115 after receiving equal amounts from 5 relatives. To find out how much money Linda received from each relative, you need to perform a simple subtraction to find the total amount of birthday money received, and then divide that number by 5.

Subtract the starting amount of $15 from the ending amount of $115 to find the total amount received.
Total received = $115 - $15 = $100

Divide the total received by the number of relatives to find out how much each relative gave.
Amount per relative = $100 / 5 = $20

Therefore, Linda received $20 from each of her 5 relatives.

Answer: 28.27

Step-by-step explanation:

A=3.14r^2

A=3.14•3^2

A=3.14•9

A=28.27

Answer: a = 28.3 m²

Step-by-step explanation:

a = πr²

a = π3²

a = 28.3 m²

(pls mark me brainliest)

the answer is 2x2+12z-5 (its also in the picture)

Image result for What is the order of steps to calculate the volume of a prism

Method 3 Calculating the Volume of a Rectangular Prism

Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height. ...

Find the length. ...

Find the width. ...

Find the height. ...

Multiply the length, the width, and the height. ...

State your answer in cubic units.

The order of steps to calculate the volume of a prism is given below:

The volume of a prism is defined as the amount of space a prism occupies.

Step 1: Write the given dimensions of the prism.

Step 2: Determine the volume of the prism using the formula V = B × H where V, B, and H are the volume, base area, and height of the prism.

Step 3: The value of the volume of the prism is once obtained then add the unit of volume of prism in the end (in terms of cubic units).

Example: Find the volume of a prism whose base area is 3 square inches and height is 7 inches.

Given that: B = 3 square inches, H = 7 inches

Thus, the Volume of the prism, V = B × H ⇒ V = 3 × 7 = 21 in³

Therefore, the volume of the prism is 21 cubic inches.

Learn more about volume of prism here:

https://brainly.com/question/1578538

#SPJ2

Answer:

Step-by-step explanation:

This is called the shadow method to make an indirect measurement of an specific highness. For example, indirect measurement to calculate a building highness.

Answer:

21

Step-by-step explanation:

Use Pythagorean Theorem

If you are looking for leg given the other sides of the right triangle: just do bigger square minus small square

and take square root

so 29^2 - 20^2

And then sqrt it!

sqrt(29^2-20^2)

21

Answer:

b=21

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 29^2

b^2+400=841

b^2=441

b=21 or b= - 21

Since we are using the values for a triangle we take the positive value.

The table of values that represents the equation y = 7x - 3 is:

x    y

-2  -17

-1   -10

0    -3

1      4

2     11

Option D is the correct answer.

We have,

Equation:

y = 7x - 3

Now,

Substitute x = -2, -1, 0, 1, 2 on the equation.

So,

y = 7 x (-2) - 3 = -14 - 3 = -17

y = 7 x (-1) - 3 = -7 - 3 = - 10

y = 7 x 0 - 3 = -3

y = 7 x 1 - 3 = 7 - 3 = 4

y = 7 x 2 - 3 = 14 - 3 = 11

Thus,

The table of values that represents the equation y = 7x - 3 is:

x    y

-2  -17

-1   -10

0    -3

1      4

2     11

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Answer:

$39.36

Step-by-step explanation:

The first sale we saw, which was 20% off, needs to be applied first as the second discount is additional. With that being said, we need to multiply 82 times 80%. This is because we removed 20% of the standard 100% amount and we are left with 80%. To convert this, keep in mind 100% is equal to 1. So 80% is equal to .80 with this logic. So 82x0.8=65.6. Now we need to take 40% off of the modified price 65.6. By converting 40% off is equal to 0.60(keyword off). Now 65.6x0.60=39.36. The final price is 39.36

Plz mark me brainliest cuz then I'll answer evertything

Kyndal can buy the lamp for $39.36 after a 20% and an additional 40% discount on the original price of $82.

To solve this problem, we need to calculate 20% of $82, then subtract that from $82 to find the sale price. Then, we need to calculate 40% of that sale price and subtract it to find the final price. Let's break it down:

https://brainly.com/question/30697911

#SPJ3

Answer: 30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

[tex]V=s^3[/tex]

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

[tex]125\ in^3=s^3\\\\\sqrt[3]{125\ in^3}=s\\\\s=5\ in[/tex]

We know that  the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6. Then:

[tex]height=(5\ in)(6)=30\ in[/tex]

Answer:

Step-by-step explanation:

V=8^3

30 inches answer

Answer:

That should be 2x + 5y = 20.

Step-by-step explanation:

First, you have to correct this: y + 7 = -⅖(x - 10). Now, first convert to Slope-Intercept Form by moving -7 to the other side of the equivalence symbol to get y = -⅖x + 4, then finally convert to Standard Form by moving ⅖x to the other side of the equivalence symbol to end up with ⅖x + y = 4.. Now, there is an extended step when it comes to fractional coefficients, and that is multiplying the whole equation by the denominator to get rid of the denominator being there in the first place, REALLY ending with 2x + 5y = 20.

BUT, if your assignment says otherwise, then the first looks correct. I hope this helps.

Answer:

532

Step-by-step explanation:

To make the right hand side as large as possible, the numerator must be as large as possible and the denominator must be as small as possible.  But we can only use each digit once.

Through trial and error:

(9 × 8 + 4) / (1 − 6 ÷ 7) = 532

532 is the largest possible three digit that can be obtained on the right side of equation.

What is PEMDAS?

PEMDAS is short form of parentheses, exponents, multiplication , division, addition and subtraction.

To get the the largest possible three digit from given condition, we have to make the denominator as small as possible by using subtraction and division. And we can increase the numerator.

Now, through trial and error method

we have (9 * 8 + 4) / ( 1 - 6 / 7 ) = 76 * 7 = 532

Hence 532 is the largest possible three digit that can be obtained on the right side of equation.

To learn more about PEMDAS;

https://brainly.ph/question/4981404

#SPJ2

Answer:

see explanation

Step-by-step explanation:

25

The diagonals of a kite are perpendicular to each other, hence

∠EHF = 90°

The sum of the 3 angles in a triangle = 180°

In ΔEHF

∠1 + ∠2 + 90 = 180, that is

42 + ∠2 + 90 = 180

132 + ∠2 = 180 ( subtract 132 from both sides )

∠2 = 48°

26

DE and DG are congruent sides, hence

4x - 2 = 22.5 ( add 2 to both sides )

4x = 24.5 ( divide both sides by 4 )

x = 6.125

27

∠A and ∠C are congruent, hence

∠A = ∠C = 82°

The sum of the interior angles of a kite = 360°, hence

x = 360 - (82 + 82 + 140) = 360 - 304 = 56

25). Measure of angle 2 will be 48°.

26). Value of x = 6.125

27). Value of x = 56°

25). Given in the picture,

     Apply triangle sum theorem in ΔEHF,

     m∠EHF + m∠2 + m∠1 = 180°

     90° + m∠2 + 42° = 180°  [Since, m∠EHF = 90°]

     m∠2 = 180° - 132°

     m∠2 = 48°

            Therefore, measure of angle 2 will be 48°.

26). Given in the question,

    By the property of a kite,

    DE = DG

    (4x - 2) = 22.5

    4x = 24.5

    x = 6.125

           Therefore, value of x will be 6.125

27). Given in the question,

    Sum of the interior angles of a kite = 360°

    Therefore, m∠A + m∠B + m∠C + m∠D = 360°

    By the property of a kite,

    m∠A = m∠C = 82°

    m∠A + m∠B + m∠A + m∠D = 360°

    2(m∠A) + m∠B + m∠D = 360°

    2(82°) + 140° + x° = 360°

     x = 360° - 304°

     x = 56°

          Therefore, value of 'x' will be 56°.

Learn more about the properties of a kite here,

https://brainly.com/question/16831519?referrer=searchResults

Answer:

(4 days) is the homogeneous mixture

Answer:

150 feet of flowers would be planted along side C

[tex]a=5400[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find the length of side C

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

Input the corresponding numbers into the formula

[tex]90^2+120^2=c^2[/tex]

[tex]c^2=22500[/tex]

[tex]c = \sqrt{22500} \\ c=150[/tex]

150 feet of flowers would be planted along side C

To find the area multiply the base and height together, and divide the total by two

[tex]a = \frac{bh}{2}[/tex]

[tex]a = \frac{90 * 120}{2} \\ a=5400[/tex]

Answer:

Step-by-step explanation:

[tex]a)\ \text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have:}\ leg=90\ ft,\ leg=120\ ft,\ hypotenuse=c.\\\\\text{Substitute:}\\\\c^2=90^2+120^2\\\\c^2=8100+14400\\\\c^2=22500\to c=\sqrt{22500}\\\\c=150\ ft[/tex]

[tex]b)\ \text{The formula of an area of a right triangle:}\\\\A=\dfrac{ab}{2}\\\\a,\ b-legs\\\\\text{We have}\ a=90\ ft\ \text{and}\ b=120\ ft.\ \text{Substitute:}\\\\A=\dfrac{(90)(120)}{2}=(90)(60)=5400\ ft^2[/tex]

Answer:

9.47

Step-by-step explanation:

Answer:

This looks a lot harder than it is, because with some clever observations we can quickly eliminate most solutions.

The first thing that springs to mind is a,b,c cannot all be odd, because then the LHS is even and the RHS is odd. Thus at least one of them must be even and therefore equal to 2. So let’s break this into two cases:

Case 1: c=2.

Hence we get

a(a+b)=122=2×61

Now a must be a positive prime factor of this number, and a+b is clearly more than a, so the only solution in this case is (a,b,c)=(2,59,2). Note here that we must check 59 is prime; fortunately it is.

Case 2: c≠2.

Now the RHS is odd, so a certainly can’t be even. But then b must be even, so b=2. Then we have

a(a+2)=120+c

Adding one to each side and factorising shows

(a+1)2=121+c

from which

c=(a+12)(a−10)

(if you are confused about this step think about difference of two squares factorisations).

But we know c is a prime number, so it can’t have any non-trivial factors. Thus one of the brackets must be 1, so a=11, which yields the solution (a,b,c)=(11,2,23). Once more we must check this solution is valid — again, it is, since 11 and 23 are prime. And those are the only two solutions since our cases cover every possibility.

Step-by-step explanation:

Answer:

1978

Step-by-step explanation:

This looks a lot harder than it is, because with some clever observations we can quickly eliminate most solutions.

The first thing that springs to mind is a,b,c cannot all be odd, because then the LHS is even and the RHS is odd. Thus at least one of them must be even and therefore equal to 2. So let’s break this into two cases:

Case 1: c=2.

Hence we get

a(a+b)=122=2×61

Now a must be a positive prime factor of this number, and a+b is clearly more than a, so the only solution in this case is (a,b,c)=(2,59,2). Note here that we must check 59 is prime; fortunately it is.

Case 2: c≠2.

Now the RHS is odd, so a certainly can’t be even. But then b must be even, so b=2. Then we have

a(a+2)=120+c

Adding one to each side and factorising shows

(a+1)2=121+c

from which

c=(a+12)(a−10)

(if you are confused about this step think about difference of two squares factorisations).

But we know c is a prime number, so it can’t have any non-trivial factors. Thus one of the brackets must be 1, so a=11, which yields the solution (a,b,c)=(11,2,23). Once more we must check this solution is valid — again, it is, since 11 and 23 are prime. And those are the only two solutions since our cases cover every possibility.

Answer:

hypotenuse is always opposite the right angle and it is always the longest side of the triangle

Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c² example 3, 4, 5).

volume occupies a three dimensional space. Distance is measured in one unit of length

Step-by-step explanation:

Answer:

30:48

Step-by-step explanation:

because 30 divides into 10 and 48 divides into 16

Answer:

Option A is correct

30 to 48

Step-by-step explanation:

Given the ratio:

10 : 16

We have to find the ratios are equivalent to 10:16.

Option A.

30 to 48

⇒[tex]\frac{30}{48}[/tex]

Divide numerator and denominator by 3 we have;

⇒[tex]\frac{10}{16}[/tex]

Option B.

25:35

⇒[tex]\frac{25}{35}[/tex]

Divide numerator and denominator by 5 we have;

⇒[tex]\frac{5}{7}[/tex]

or

5 : 7

Option C:

8 : 32

⇒1 : 4

Option D:

5 to 15

⇒[tex]\frac{5}{15}[/tex]

Divide numerator and denominator by 5 we have;

⇒[tex]\frac{1}{3}[/tex]

or

1 : 3

Therefore, the ratio equivalent to 10:16 is, 30 to 48.

Not enough information, please attach a photo next time.

Answer:

P(A given B) = 3/4

Step-by-step explanation:

As we know that it is conditional probability, where the probability of an event depends on the event that has certain probability of occurrence.

The formula for conditional probability is:

P(A given B) = P(A ∩B) / P(B)

Where a and B are events. The probability of event B is known and we also know probability of A∩B

So, putting the values in the formula:

[tex]P(A\ given\ B) = \frac{P(A and B)}{P(B)}\\= \frac{\frac{3}{10} }{\frac{2}{5} } \\=\frac{3}{10} *\frac{5}{2}\\=\frac{3}{4}[/tex]

So, the probability of A given B is 3/4 ..

[tex]

2x^2-7x+6=(2x-6)(x-1)=\boxed{2(x-3)(x-1)}

[/tex]

Hope this helps.

r3t40

Answer:

The surface area of the larger triangular prism is 4 times the surface area of the smaller triangular prism

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor and the ratio of its surface areas is equal to the scale factor squared

Let

z ----> the scale factor

In this problem

z=2

therefore

z²=2²=4

The surface area of the larger triangular prism is 4 times the surface area of the smaller triangular prism

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller prism.

Step-by-step explanation:

Was right on edge

Answer:

z = 70

Step-by-step explanation:

The angles 110 and z form a straight angle and are supplementary, thus

110 + z = 180 ( subtract 110 from both sides )

z = 70

Answer:

B)4.5 cubic feet

Step-by-step explanation:

To find the volume of a rectangular prism, we use the formula

V = l*w*h

V = 1.5*3*1

V = 4.5 ft^3