What represents the range of books that Kenneth can purchase?

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Answer:

Members: 14 hope this helps ;)

Step-by-step explanation:

So, we see that there is 63 members (in all) so then we would do 2/9 x 63 = 14. We have 14 members playing a brass instrument

Answer:

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Step-by-step explanation:

Let

x = cost of each gift basket

y = one time delivery fee

40x + y = 715 (1)

400x + y = 5935 (2)

Subtract (1) from (2)

400x - 40x = 5935 - 715

360x = 5220

x = 5220/360

x = 14.5

Substitute x = 14.5 into (1)

40x + y = 715 (1)

40(14.5) + y = 715

580 + y = 715

y = 715 - 580

y = 135

x = cost of each gift basket = $14.5

y = one time delivery fee = $135

Answer:

7x^2*(x-4)*(x+6)

Step-by-step explanation:

7x^4 + 14x^3 - 168x^2

common factor 7x^2

7x^2*( x^2+2x-24)

now we factor ( x^2+2x-24)

(x-4)*(x+6)

Solution

7x^2*(x-4(*(x+6)

The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

What is polynomial ?

The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

Given polynomial as:

7x⁴ + 14x³ - 168x²

There is a common factor 7x²

7x²( x² + 2x - 24)

To determine the factor of ( x² + 2x - 24)

⇒ 7x²( x² + 2x - 24)

⇒ 7x²( x² + 6x - 4x -24)

⇒ 7x²[x(x+6) - 4(x+6)]

⇒ 7x²(x-4)(x+6)

Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².

Learn more about polynomial here:

brainly.com/question/13947055

#SPJ2

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and

[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and

[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are

[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and

[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

[tex]-8(t^2-6t+9)=-40+??[/tex]

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

[tex]-8(t^2-6t+9)=-40-72[/tex]

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

[tex]-8(t-3)^2=-112[/tex]

For the last step, add over the -112 and set it back equal to f(t):

[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

Answer:

To be honest I don't understand this question

Answer:

The alarm bell will ring at 473 psi.

Step-by-step explanation:

To answer this, find 215% of 220 pounds per square inch:

Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:

2.15(220 psi) = 473 psi

The alarm bell will ring at 473 psi.

Answer:

53.13 degrees

Step-by-step explanation:

From the shape of the graph, we can see that the plotted line forms a right-angled triangle with the x and y coordinates. As a result, we can use laws that govern the geometry of right-angled triangles to evaluate the solution.

[tex]tan \theta = opposite/ adjacent[/tex]

The opposite side in this case is the side directly facing the angle Θ. This is the y - axis value = -4

The adjacent side in this case is the side above the angle Θ. This is the y - axis value = -3

[tex]tan \theta = (-4/-3)\\\theta = tan ^-1(4/3) = 53.13 degrees[/tex]

Answer:

1093.96

Step-by-step explanation:

900(1+.05)⁴=1093.955625

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Algebra 1

Note

• f(x)=ax^2+bx+12

b=8

Answer:

73

Step-by-step explanation:

I Gotchu!

180=90+17+x

90=17+x

73=x

73!

Answer:

B. There are infinitely many solutions to the system of equations,

Step-by-step explanation:

they are the same line look at image

Answer:

1.59

Step-by-step explanation:

12*5 = 60

60/37.80 = 1.59

Answer: [tex]36.86^{\circ}[/tex]

Step-by-step explanation:

Given

Coordinates  of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]

Answer:

0. 25 equals 2599 as a fraction.

Step-by-step explanation:

Step-by-step explanation:

B. Find the area of the base so as to calculate the volume of the prism

Answer:

he could have:

3 pennies

2 dimes

1 nickel

1 quarter

________

0.53 cents

MAry problem

the number is 249

(i believe)

Step-by-step

Answer:

x = 12

Step-by-step explanation:

Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10x = 120 ( divide both sides by 10 )

x = 12

Step-by-step explanation:

Here, the number of people has beed increased.

→ Number of people increased = 71 - 48

→ Number of people increased = 23

[tex] \to \% \: change = \left ( \dfrac{23}{71} \times 100 \right ) \: \% \\ [/tex]

[tex] \to \% \: change = \left ( \dfrac{2300}{71} \right ) \: \% \\ [/tex]

[tex] \red{ \to \% \: change = 32.39 \: \%} \\ [/tex]

Therefore, percentage change is 32.39 %.

Answer:

x = 9

Perimeter = 74

Area = 342

Step-by-step explanation:

First, find x. to do so, set your formula up as

18 = 8x - 54

18 + 54 = 8x

72 = 8x

72/8 = x

9 = x

Now that you have x, find your missing side

2x + 1 = y, x

2 * 9 + = y

19 = y

Your perimeter is P = 2(l+W)

P = 2(18 * 19)

P = 74

Your area is A = wl

A = 19 * 18

A = 342

Answer:

x=9

Perimeter:76 ft

Area:342 ft^2

Step-by-step explanation:

x:

8x-54=18

Then solve for x.

Perimeter: add all sides

(2(9)+1)+(2(9)+1)+18+18

Area: multiply length and width

18 x 19 = 342

Answer:

p = .05s+2000

Step-by-step explanation:

So we know you get paid 2000 in the beggining of the month which we can say it is the y intercept. We got that part done now when it comes to the commision for every sale (s) you make you get 5 percent so .05s no that you have the commision and base salary all you gotta do is add them up and you get your pay.

2000 + .05s = p

Hope it helped (:

Answer:

You can use M a t h w a y. and you will get all the correct answers

Step-by-step explanation:

Hope this helps :)

Answer:

question 21:  29

question 16:  -1/729

question 15:  1/144

question 14:  1/64

question d=rt, solving for t:  answer is Letter G, t=d/r

Step-by-step explanation:

Hope this helps

Answer:

-12x^5 + 14x^3 -2x^2 + 10x

Step-by-step explanation:

-2x(6x^4 -7x^2 +x-5) =

-12x^5 + 14x^3 -2x^2 + 10x

Answer:for points vgunvh

Step-by-step explanation:

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees