20 POINTS What are the x-intercepts of the graph? A) x = -5 B) x = 1 and 5 C) x = 0 and 4 D) x = -1 and 5

Answer:

a^3 + b^3

Step-by-step explanation:

(a + b )(a^2 - ab + b^2)

Distribute

a*a^2 -a*ab+a*b^2    + b*a^2 -b*ab +b*b^2

Simplify

a^3 -a^2b +ab^2 +a^2b -ab^2+b^3

Combining like terms

a^3 +b^3

Answer:

a^3 + b^3

Step-by-step explanation:

hope this helps you! have a good day/night :D

Answer:

Zero is neither positive nor negative integer and is known as origin.

Part A

1. 14k+k<30

Add the left hand side to get;

15k<30

Divide both sides by 15.

[tex]\frac{15k}{15}\:<\:\frac{30}{15}[/tex]

k<2

2. We have 9d-3d+7>31

Group similar terms to obtain:

9d-3d>31-7

Combine similar terms:

6d>24

Divide both sides by 6

[tex]\frac{6d}{6}\:>\:\frac{24}{6}[/tex]

This implies that:

d>4

3. We have 13x-2x>77

This implies:

11x>77[tex]\frac{11x}{11} \:>\:\frac{77}{11}[/tex]

x>7

4. We have 5y<7y+18

This implies

5y-7y<18

-2y<18

Divide both sides by -2 and reverse the sign.

[tex]\frac{-2y}{-2} \:>\:\frac{18}{-2}[/tex]

[tex]y\:>\:-9[/tex]

5. The given expression is;

3f-12>-10+9f

Group similar terms:

-12+10>9f-3f

-2>6f

Divide both sides by 6.

[tex]\frac{-2}{6}\:>\:\frac{6f}{6}[/tex]

[tex]-\frac{1}{3}\:>\:f[/tex]

[tex]f\:<\:-\frac{1}{3}[/tex]

6. We have 4t-8<2t-2

Group similar terms;

4t-2t<-2+8

2t<6

t<3

7.  We have

15h+16>6h-20

Group like terms;

15h-6h>-20-16

9h>-36

Divide both sides by 9

h>-4

8. The given inequality is

4r-2r>6-r

This implies

4r-2r+r>6

3r>6

r>2

Part B

x-27=193

x=193+27

x=220

2. The given equation is

f(12)=48

or

12f=48

f=48/12

f=4

3. We have the equation 4s+2=74

4s=74-2

4s=72

s=18

4. The given equation is

9(r+1)-18=2r+12

Expand to get:

9r+9-18=2r+12

Group like terms:

9r-2r=12+18-9

7r=21

r=3

Answer:

D. 254.34 cubic inches

​Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h

Where r = 3 in and h = 9 in

V = (3.14) * (3)^2 *9

V = 254.34 in ^3

Answer:

volume of a cylinder= \pi*r^2*h

81*pi

=254.34 in^3

Answer:

x^8/y^20

Step-by-step explanation:

multiply the exponents by 4.

Answer:

x= 8/3 and x= -8/3

Step-by-step explanation:

Remember the difference of two squares method

a²- b²= (a+b) (a-b)

Given;

9x²-64=0

We notice 9 and 64 are in square form thus can be written as

(3x-8) (3x+8)....................................applying the difference in squares method to simplify

Solving for x

(3x-8) (3x+8) =0

3x-8=0

3x=8

x= 8/3

or

3x+8=0

x= -8/3

Answer:

8/3 and -8/3

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

In a parallelogram, both pairs of opposite angles are congruent. Also, both pairs of opposite sides are parallel, meaning there are consecutive interior angles. Consecutive interior angles equal 180, so simply subtract 57 from 180 to find your missing angles.

Answer:

The perimeter of the equilateral triangle, P = 24 units

Step-by-step explanation:

All sides of an equilateral triangle are equal. The height of the equilateral triangle is given by :

[tex]h=\dfrac{\sqrt{3} }{2}\times a[/tex]

a is the side of triangle

If the height of an equilateral triangle is, [tex]h=4\sqrt{3}[/tex]

Equation (1) becomes,

[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]

Put h in above formula. So,

[tex]a=\dfrac{2\times 4\sqrt{3}}{\sqrt{3} }[/tex]

a = 8

So, the side of triangle is 8. The sum of all sides is called perimeter of any figure. So,

[tex]P=8\times 3[/tex]

P = 24 units

So, the perimeter of the equilateral triangle is 24 units. Hence, this is the required solution.

Final answer:

To find the perimeter of the equilateral triangle with a height of 4√3, we determine the side length using the relationship between the height and side length of the triangle, and then multiply by three to get a perimeter of 24 units.

Explanation:

The height of an equilateral triangle is given as 4√3. To find the perimeter, we need to determine the length of a side of the triangle. In an equilateral triangle, the height (h) creates a right-angled triangle where the height is opposite to a 60° angle, and the half of a side of the triangle (half-base) is adjacent to it. The relationship is given by the equation h = (a√3)/2, where a is the side length of the equilateral triangle. By substituting the height with 4√3, we get:

4√3 = (a√3)/2 → a = 8

Since all sides of an equilateral triangle are equal, the perimeter is three times the side length, which means the perimeter P = 3 × 8 = 24 units.

Hello There!

6n=13.50

This means that 6 notebooks and some amount represented as n is 13.50

Answer:

200.96 ft²

Step-by-step explanation:

The question is on surface area of a closed cylinder

Formulae= SA=2 ×pi× r² + 2×pi×r×h

Where pi=3.14

SA= 2×3.14×2² + 2×3.14×2×14

SA=25.12+175.84

SA=200.96 ft²

Answer:

The answer is D, 30.4

Step-by-step explanation:

Because the two parallelograms are similar, the relationship between the sides of them are directly proportional.

So:

[tex]\frac{9}{8} =\frac{x}{27}[/tex]

Cross multiply

8x = 243

÷8 both sides

x = 30.375 ≈ 30.4

The answer is D, 30.4

ANSWER

D. 30.4

EXPLANATION

The two parallelograms are similar, therefore the corresponding sides must be in the same proportion:

[tex] \frac{x}{9} = \frac{27}{8} [/tex]

Multiply both sides of the equation by 8. This implies that,

[tex]x = \frac{27}{8} \times 9[/tex]

[tex]x = 30.375[/tex]

Rounding to the nearest tenth gives us:

[tex]x = 30.4 \: units[/tex]

ANSWER

7.8cm

EXPLANATION

Given an acute angle of the right triangle to be 40°, the two sides of the triangles involve are the opposite side and the hypotenuse.

The trigonometric ratio that, involves opposite side and the hypotenuse is the sine ratio.

[tex] \sin(40 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(40 \degree) = \frac{5}{hypotenuse} [/tex]

hypotenuse =5÷sin(40°)

hypotenuse=7.77cm

Angles:

A=76 degrees

C=90 degrees

B=180-(90+76)=180-166

=14 degrees

Answer:

It’s c (B=14,b=3.2,c=13.4)

Step-by-step explanation:

edge

Answer:

1. 30

2. 150

3. obtuse

4. acute

5. Adjacent

Step-by-step explanation:

The correct expression for the angles are;

1) m SUT equals  30 Degrees.

2) m TUW equals  150 degrees

3) TUW is obtuse angle

4) SUT is acute angle

5) TUW and SUT are Adjacent angles

Similar to corners, right angles have a 90° measure. Acute angles are less than ninety degrees. More than 90° but less than 180° are obtuse angles. Additionally, a straight angle is 180°, which is the point at which two lines merge into one by going in the same direction.

Any angle is composed of two rays that converge at a point known as the vertex. When two angles share a ray, it indicates that they are adjacent to one another.

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Answer:

<CDH = 110°

Step-by-step explanation:

Given <1 = 70°

Because BF ║ CD so <1 = <3 = 70° (corresponding angles are equal)

<CDH = 180° - <3

<CDH = 180° - 70°

<CDH = 110°

Answer:

125

Step-by-step explanation:

We are given that <1=70. Using that, we know that <5 also equals 70 because of the definition of vertical angles, we then can find <2 also by subtracting 70 from 180 and dividing it by 2 to get 55. <4=<2 and <6=<5, so using substitution we can get m<CDH=125

Answer:

System #2:

3x - y = 4---->6x - 2y = 8

Answer:

376

Step-by-step explanation:

2(8x10)=2(80)=160

2(10x6)==2(60)=120

2(6x8)=2(48)=96

160+120+96=376

Find the area of the shaded figure.

40192 mm²

the area of the circle inside

= phi × r × r

= 3,14 × 40 mm × 40 mm

= 314/100 × 40 mm × 40 mm

= 5024 mm²

large circle area

= phi × r × r

= 3,14 × 120 mm × 120 mm

= 314/100 × 120 mm × 120 mm

= 45216 mm²

broad shaded

= 45216 mm² - 5024 mm²

= 40192 mm²

The area of the shaded figure is 10053.08 [tex]mm^2[/tex].

To find the area of the shaded region, we can use the following steps:

Calculate the area of the larger circle.

Calculate the area of the smaller circle.

Subtract the area of the smaller circle from the area of the larger circle.

The area of a circle is calculated by multiplying the radius squared by pi. The radius of the larger circle is 60 mm, so the area of the larger circle is:

[tex]A_l[/tex] = [tex]\pi[/tex] * [tex](60 mm)^2[/tex]

= 11309.72 [tex]mm^2[/tex]

The radius of the smaller circle is 20 mm, so the area of the smaller circle is:

[tex]A_s[/tex] = [tex]\pi[/tex] * [tex](20 mm)^2[/tex]

= 1256.64 [tex]mm^2[/tex]

The area of the shaded figure is calculated by subtracting the area of the smaller circle from the area of the larger circle:

A = [tex]A_l[/tex] - [tex]A_s[/tex]

= 11309.72 [tex]mm^2[/tex] - 1256.64 [tex]mm^2[/tex]

= 10053.08 [tex]mm^2[/tex]

Therefore, the area of the shaded figure is 10053.08 [tex]mm^2[/tex].

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ANSWER

1 bell shape

2 to find probability when sampling

EXPLANATION

1 In a normal distribution, the mode,mean and median are equal.

As a result, the distribution is neither skewed to the right or left.

The shape of the normal distribution looks like a bell.

That is why it is also called the bell curve.

2. The area under the normal curve is 1.

The line of symmetry of the bell shaped distribution divides it into two halves with area 0.5 each.

The normal curve is therefore used to find the probabilities of a sample distributions.

I believe the Surface Area is 37 inches^2 and the Volume is 15 inches^2

Answer: the answer is 18

Step-by-step explanation:

[tex]\bf 12+9\times \cfrac{4}{2}\div (2+1)\implies \stackrel{\mathbb{P~E~M~D~A~S}}{12+9\times \cfrac{4}{2}\div (\stackrel{\downarrow }{3})}\implies 12+9\times \stackrel{\downarrow }{2}\div(3) \\\\\\ 12+\stackrel{\downarrow }{18}\div (3)\implies 12+\stackrel{\downarrow }{6}\implies 18[/tex]

Answer:

The hose is ~70.71 ft long.

Step-by-step explanation:

We need to use Pythagorean theorem to figure this out. ( A^2 + B^2 = C^2)

So we first need to square 50 two times, since that's the length and height of the garden. This equals 5000.

Then we just need to find the root of 5000! This rounds out to about 70.71 ft.

Hope I could help! :)

The length of the hose which is ​stretched from one corner of the garden to another corner across the diagonal of it is 70.72 ft

The diagonal of the square is the distance from opposite vertices of it. There are two diagonals in a square which are equal in measure.

To find the diagonal of the square, the following formula is used.

d=a√2

Here, (a) is the length of the side of the square.

The side of a square garden is 50 ft long. One hose is stretch from one corner of the garden to another corner across the diagonal of it. Thus, the length of the diagonal is,

d=a√2

d=(50)√2

d=70.72 ft

Thus, the length of the hose which is ​stretched from one corner of the garden to another corner across the diagonal of it is 70.72 ft

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Answer:

C

Step-by-step explanation:

Answer:

V=94.5 cm^3

Explanation:

Volume of a Prism: (B)H

B=Base Formula

H=Height of Prism

H=12

Triangle Base Formula: 1/2bh

b=3.5

h=4.5

Substitute Variables in formula:

V=[1/2(3.5)(4.5)](12)

Solve:

V=(7.875)(12)

V=94.5 cm^3

Answer:

Pretty sure it's 140.87 cm

Step-by-step explanation:

Multiply 3 1/2 by 4 1/4

Divide by two which is 7.43

Multiply 3 1/2 by 12

Now add 42+42+42+7.43+7.43

OR

126+14.87  

The volume of the cylindrical aquarium to the nearest whole number is [tex]\(\boxed{26694}\)[/tex] cubic feet.

The volume [tex]V[/tex] of a cylinder can be calculated using the formula:

[tex]\[ V = \pi r^2 h \][/tex]

 where [tex]r[/tex] is the radius of the cylinder's base and [tex]h[/tex] is the height of the cylinder.

 Given:

- Radius [tex]\( r = 18.8 \)[/tex] feet

- Height [tex]\( h = 24 \)[/tex] feet

- [tex]\( \pi \approx 3.14[/tex]

Now, let's calculate the volume:

[tex]\[ V = 3.14 \times (18.8 \text{ feet})^2 \times 24 \text{ feet} \][/tex]

[tex]\[ V = 3.14 \times 18.8^2 \times 24 \][/tex]

[tex]\[ V = 3.14 \times 353.44 \times 24 \][/tex]

[tex]\[ V = 3.14 \times 8482.56 \][/tex]

[tex]\[ V \approx 26694.1216[/tex]

To the nearest whole number, the volume of the aquarium is approximately:

[tex]\[ V \approx 26694 \] cubic feet.[/tex]

Therefore, the volume of the cylindrical aquarium to the nearest whole number is [tex]\(\boxed{26694}\)[/tex] cubic feet.

You have to begin by using the triangle sum therom. That means Angle DEC would be 64°, Angle D would be 76°, and angle C would be 40°

Answer:b

Step-by-step explanation:

You're answer is b. All you have to do is a measurement

Answer:

B) 1/2 (154° - 46°)

Step-by-step explanation:

Here ∠XYZ is an angle subtended by two chords from a point outside of the circle.

It is a one of the circle.

If the angle subtended by two chords from the outside point of the circle, the measure of the angle is 1/2 times difference of the major arc and minor arc.

Here Major arc = 154° and minor arc = 46°

Applying the rule, we get

m∠XYZ = [tex]\frac{1}{2} (Major arc - Minor arc)[/tex]

m∠XYZ = 1/2 (154° - 46°)

Answer:

x+1, y-9

Step-by-step explanation:

Answer:

(x, y) ----> (x +1, y - 9)

Step-by-step explanation:

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

Let's (x, y) is coordinate plane.

Here x represents the horizontal move and y represents the vertical move.

It is translated 9 units down and 1 unit right.

(x, y) ----> (x +1, y - 9)

Translation (x, y )---> (x+1, y-9)

Answer:

1) 46.6

Step-by-step explanation:

Given Data:

s1 of Triangle ABC= 4cm

s2 of Triangle ABC=6cm

s3 of Triangle ABC=8cm

As per the side-side-side SSS of a given triangle

the corresponding angles are found by the following law of cosine formula

cos A = (b2 + c2 − a2) / 2bc

Putting the values we get

cos A= (4^2+8^2-6^2)/2(4)(8)

cos A= (16+64-36)/64

A=cos^-0.6875

A=46.57!

The loan's future amount is $9940

The formula to calculate Simple interest is :

I=PRT

where,

I(interest money created)

P(initial amount of money)

R(interest rate as a decimal)

T(time in years)

I=7000(.07)(6)

I=$2,940

So, the loan's future amount = $7000 + $2940 = $9940

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