What is the simplified form of square root of 400 to the 100th power ?

Answer:

P = 2x + 2y + 14

Step-by-step explanation:

Length (L) = x + 8 units

Width (W) = y - 1 units

Perimeter (P) = 2L + 2W

P = 2(x + 8) + 2(y - 1)

P = 2x + 16 + 2y - 2

P = 2x + 2y + 16 - 2

P = 2x +2y + 14

Answer:

P = 2x + 2y + 14

Step-by-step explanation:

Answer: 26%

Step-by-step explanation:

See attached photo. - my answer got deleted lol

Without additional information, we cannot determine the exact percentage of students age 15 and above who travel to school by bus.

To find the percentage of students age 15 and above who travel to school by bus, we need to compare the number of students who travel by bus to the total number of students in that age group. However, we don't have that information in the given question.

We need more data to calculate the percentage. Without additional information, we cannot determine the exact percentage of students age 15 and above who travel to school by bus.

Answer:

B. 14x^3+39x^2+18x+20

Step-by-step explanation:

Given polynomials are:

[tex](7x^2+2x+4)(2x+5)\\For\ product\\(2x+5)(7x^2+2x+4)\\= 2x(7x^2+2x+4)+5(7x^2+2x+4)\\= 14x^3+4x^2+8x+35x^2+10x+20\\Combining\ alike\ terms\\= 14x^3+4x^2+35x^2+8x+10x+20\\=14x^3+39x^2+18x+20[/tex]

The product of given polynomials is:

14x^3+39x^2+18x+20

Hence, Option B is correct ..

Answer:

B.  14x^3 + 39x^2 + 18x + 20.

Step-by-step explanation:

(7x^2 + 2x + 4)(2x + 5)

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

Distribute over the 2 parentheses:

= 14x^3 + 4x^2 + 8x + 35x^2 + 10x + 20

Add like terms:

= 14x^3 + 39x^2 + 18x + 20.

Answer:

Total length of the x inches long pieces = 4x inches

She has to cut another piece = 7.75 inches

Total length = 4x + 7.75

This is what y represent, so

y = 4x + 7.75

The graph of the equation is continuous

Answer:

The required equation is [tex]y=4x+7.75[/tex] and the graph of the equation is continuous.

Step-by-step explanation:

Consider the provided information.

Julie needs to cut 4 pieces of yarn,

Let x  represent the length of each yarn.

Then the length of 4 pieces will be: 4x

y represents the total length of all of the yarn that Julie decides to cut

Therefore the required equation that can be used to determine the total length of all of the yarn is:

[tex]y=4x+7.75[/tex]

Here, the graph is continuous, because the length of yarn can be any number.

Answer:

Q1: 2nd row 2nd tile

Q2: 1st row 1st tile

Q3: 1st row 3rd tile

Q4: 2nd row 3rd tile

Step-by-step explanation:

When

[tex]y = a {(x + p)}^{2} + q[/tex]

Vertex is (-p, q)

Answer:

[tex](-1,-\frac{3}{7} )-->f(x)=\frac{1}{2}|x+1|-\frac{3}{7}\\(5,\frac{2}{3} )-->f(x)=\frac{3}{5}|x-5|+\frac{2}{3}\\(0,-\frac{4}{5} )-->f(x)=\frac{1}{2}|x|-\frac{4}{5}\\(\frac{2}{5},\frac{5}{3} )-->f(x)=\frac{3}{2}|x-\frac{2}{y5}|+\frac{5}{3}[/tex]

Step-by-step explanation:

We can solve all of them by writing the equations in a general form

[tex]f(x)=a|x+b|+c[/tex]

This is a function transformation of

[tex]f(x)=|x|[/tex]

where:

a=Factor of vertical stretch

b=Horizontal shift (- shifts right, + shifts left)

c=Vertical shift (+ shifts right, - shifts left)

The original function has its vertex in [tex](0,0)[/tex] so the horizontal shift will be the new x coordinate in the new vertex and the vertical shift will be the new y in the new vertex like this:

[tex]f(x)=\frac{1}{2}|x+1|-\frac{3}{7}\\b=1=HorizontalShiftof-1\\c=-\frac{3}{7}=VerticalShiftof-\frac{3}{7}\\(-1,-\frac{3}{7})\\f(x)=-\frac{3}{5}|x-5|+\frac{2}{3}\\b=-5=HorizontalShiftof5\\c=\frac{2}{3}=VerticalShiftof\frac{2}{3}\\(5,\frac{2}{3})\\f(x)=\frac{1}{2}|x|-\frac{4}{5}\\b=0=HorizontalShiftof0\\c=-\frac{4}{5}=VerticalShiftof\frac{4}{5}\\(0,-\frac{4}{5})\\f(x)=-\frac{3}{2}|x-\frac{2}{5}|+\frac{5}{3}\\b=-\frac{2}{5}=HorizontalShiftof\frac{2}{5}\\c=\frac{5}{3}=VerticalShiftof\frac{5}{3}\\(\frac{2}{5},\frac{5}{3})[/tex]

Answer:

B) The scale on the y-axis could be changed to 25–40.

Answer:

B the scale on the y-axis could be changed from 25-40

Step-by-step explanation:

just took test on edg and got a 100

The equation representing the population of the city is P = 50t + 8500. Substituting t=7 in this equation gives the estimated population in year 2017 as 8850 people.

The question is asking for the population of the town in a given year, given it's steadily increasing each year. The original population, in 2010, is 8500 people and each year the number of people increases gradually by 50.

The general equation for a line is y = mx + c, where m is the slope (the rate of change), c is the y-intercept (the initial value), x is the input (in this case, the number of years since 2010), and y is the output (the population).

In this case, m = 50 (because the population increases by 50 people per year), c = 8500 (the population in 2010) and x will be the number of years since 2010. Therefore, the equation for the population of the town is: P = 50t + 8500

To find the population in 2017, you substitute t=7 (because 2017 is 7 years after 2010) into the equation: P = 50*7 + 8500 = 8850

So the estimated population in 2017 would be 8850 people.

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Answer:

There are no solutions to the system because the equation represents parallel lines

Answer:

Step-by-step explanation:

We know by given that the system result is 0 = -12.

This results means that there are no solutions in the system, because the statment 0 = -12 is false, also lines are parallels, that's the real reason why there's no solution.

Remember that parallel lines won't intercept, and a solution of a linear system means that those lines intercept. So, if they don't, then, there's no solution.

Therefore, the right answer is the first choice.

Answer:

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

8x + 5y = 24

You just told us that  Y = -4x .

If that's true, then

8x + 5(-4x) = 24

8x - 20x = 24

-12x = 24

x = -2

y = -4x

y = -4(-2)

y = 8

Final answer:

The 9th term of the geometric sequence -1, -5, -25, -125 is found to be -390625, using the formula for a geometric sequence nth term with a common ratio of 5.

Explanation:

To find the 9th term of the geometric sequence -1, -5, -25, -125, we need to determine the common ratio and apply the formula for the nth term of a geometric sequence, which is an = a1 × r(n-1), where a1 is the first term and r is the common ratio.

The common ratio (r) is the factor that each term is multiplied by to get the next term. In this sequence, r is obtained by dividing the second term by the first term: r = -5 / -1 = 5. Therefore, to find the 9th term, we use the formula with a1 = -1, r = 5, and n = 9:

a9 = -1 × 5(9-1) = -1 × 58 = -390625

So, the 9th term of the geometric sequence is -390625.

Answer:

We need to know angle C which is (180 -123 -34) = 23°

We'll use the Law of Sines

Sine (A) / side a = Sine (B) / side b

Sine (34) / 10 = Sine (123) / side b

0.55919 / 10 = 0.83867 / side b

10 * .83867 / .55919 = side b

side b (or line AC) = 14.998

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

negative times a negative is a positive. Negative three squared is 9.

Answer:

.5

Step-by-step explanation:

4/2   -n=3n

2      -n=3n

2          =4n

2/4      =n

.5        =n

Answer:

1,715

Step-by-step explanation:

So, we have a product that is sold for $0.85 and costs $0.50 to produce, and we need to find the number is items needed to cover the $600 fixed costs of the company.

We can model this like that, where x is the number of items to make:

0.85x - 0.5x = 600

0.35x = 600

x = 1,714.29

So, to cover the fixed overhead/fixed expenses, they need to make at least 1,715 items, each day.

For this case we can raise a rule of three:

$ 58 ----------> 100%

$ 63 ----------> x

Where "x" represents the percentage equivalent to $ 63.

[tex]x = \frac {63 * 100} {58}\\x = \frac {6300} {58}\\x = 108.62[/tex]

Thus, the percentage increase is 8.62%

Answer:

The percentage of increase is 8.62%

Answer:

d. 8

Step-by-step explanation:

The volume of a sphere = 4/3πr³

Let the radius of the smaller sphere be r, then the volume of the large sphere will be 2 r

Finding the volumes of the 2 gives:

volume of large sphere = 4/3π (2r)³

= 32/3πr³

Volume of the smaller sphere = 4/3πr³

Dividing the two volumes we get the ratio of their volumes

32/3πr³÷4/3πr³= 8

Answer: Option d

[tex]\frac{V_2}{V_1}=8[/tex]

Step-by-step explanation:

The volume of a sphere is calculated using the following formula

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere and V is the volume.

If the radius of the small sphere is r and the volume is [tex]V_1[/tex] then:

[tex]V_1=\frac{4}{3}\pi r^3[/tex]

Let's call [tex]V_2[/tex] the volume of the large sphere. We know that it has a radius of 2r. So:

[tex]V_2=\frac{4}{3}\pi (2r)^3[/tex]

[tex]V_2=\frac{4}{3}*8\pi r^3[/tex]

Now we calculate the quotient of the volumes

[tex]\frac{V_2}{V_1}=\frac{\frac{4}{3}*8\pi r^3}{\frac{4}{3}\pi r^3}\\\\\frac{V_2}{V_1}=\frac{8r^3}{r^3}\\\\\frac{V_2}{V_1}=8[/tex]

The answer is the option d

Answer:

r = 7

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex], that is

r = [tex]\frac{21}{3}[/tex] = [tex]\frac{147}{21}[/tex] = 7

The common ratio of the sequence 3, 21, 147 is 7.

Start with the first and second terms:
21 ÷ 3

= 7

Confirm with the second and third terms:
147 ÷ 21

= 7

Thus, the common ratio (r) is 7.

The integer that represents the change in temperature is -16°F.

To find the change in temperature, we need to calculate the difference between the final temperature and the initial temperature.

The initial temperature was 6°F, and the final temperature was -10°F. To calculate the change, we subtract the initial temperature from the final temperature:

Change in temperature

= Final temperature - Initial temperature

                             = (-10°F) - (6°F)

                             = -10°F - 6°F

                             = -16°F

Therefore, the integer that represents the change in temperature is -16°F.

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Answer:

a) Equation: 9x+9 = 72

b) x =7

Step-by-step explanation:

The total cost of 9 bracelets = $72

Shipping charge = $9

a) Define your variable and write an equation that models the cost of each bracelet.

Let x be the cost of one bracelet, the equation will be

9x + 9 = 72

As 9 bracelets were there and the shipping cost was 9 and total cost was 72.

b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.

Now solving the equation to find the value of x that represent cost of each bracelet

9x + 9 = 72

Adding -9 on both sides

9x +9 -9 = 72 -9

9x = 63

Dividing both sides by 9

9x/9 = 63/9

x = 7

The value of x=7 so, the cost of each bracelet is $7

c) Provide your conclusion.

So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.

We would check whether our equation is satisfied.

9x+ 9 = 72

9(7) + 9 = 72

63 + 9 = 72

72 = 72

The equation is satisfied.

Answer:

The cost of each bracelet is: $7

Step-by-step explanation:

Let's call x the cost of each bracelet.

Then the cost of the 9 bracelets is:

9x

If we know that the cost of the bracelets plus the shipping was $ 72 and the cost of shipping is $ 9.

So

The total cost was:

[tex]9x + 9 = 72[/tex]

Now we solve the equation for the variable x.

[tex]9x + 9 = 72[/tex]

Subtract 9 on both sides of equality

[tex]9x + 9-9 = 72-9[/tex]

[tex]9x = 72-9[/tex]

[tex]9x = 63[/tex]

Divide by 9 on both sides of equality

[tex]\frac{9}{9}x = \frac{63}{9}[/tex]

[tex]x = \frac{63}{9}[/tex]

[tex]x = \$7[/tex]

Final answer:

The dog’s movement 5 seconds after the command, considering different frames of reference for speed, can be described by the distance it would have traveled: either 25 meters on the sidewalk (at 5 m/s) or 10 meters from the student's perspective (at 2 m/s).

Explanation:

The student's question pertains to describing the dog’s movement 5 seconds after the command was given, considering the dog's speed. Since we have learned that the dog has different speeds in different frames of reference—5 m/s on the sidewalk and 2 m/s in the student’s frame—we can describe the dog’s movement based on these speeds. If the dog started moving at the moment the command was given and continued to move for 5 seconds, we can calculate the distance it would have covered in that time.

For the sidewalk's frame, where the dog's speed is 5 m/s, the dog would have covered a distance of:

Distance = Speed × Time

Distance = 5 m/s × 5 s = 25 meters

In the student’s frame, where the dog's speed is 2 m/s, it would have moved:

Distance = 2 m/s × 5 s = 10 meters

The statement that could describe the dog’s movement 5 seconds after the command was given is that the dog could have traveled either 25 meters from its starting point on the sidewalk or 10 meters from the student's perspective, depending on the frame of reference being considered.

Answer:

[tex]\large\boxed{(f\cdot g)(x)=2x^3+x^2-14x-7}[/tex]

Step-by-step explanation:

[tex](f\cdot g)(x)=f(x)\cdot g(x)\\\\f(x)=2x+1;\ g(x)=x^2-7\\\\(f\cdot g)(x)=(2x+1)(x^2-7)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x^2)+(2x)(-7)+(1)(x^2)+(1)(-7)\\\\=2x^3-14x+x^2-7[/tex]

Answer:

M(t) = 0.1t3 + 5(1.07)t - 5

Step-by-step explanation:

Answer:

[tex]M(t) = 0.1t^{3}[/tex] [tex]+ 5(1.07)^{t}[/tex]- 5

Step-by-step explanation:

(on attachment with step by step explanation)

Answer:

C

Step-by-step explanation:

-567.45 + 567.45 = 0

Neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.

To determine whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure ACB onto itself, we need to analyze the effects of these transformations.

Therefore, neither the reflection over the y-axis nor the 270° counterclockwise rotation would map figure ACB onto itself.

Answer:

Step-by-step explanation:

4 square root 5

Answer:

Add 6 to both sides.

Step-by-step explanation:

You are trying to solve for x in this type of question. In this case, note that there is a equal sign, and that what you do to one side you do to the other. Also note that to isolate the x (your goal), you must do the opposite of PEMDAS. (Note that PEMDAS = Parenthesis, Exponent (& Roots), Multiplication, Division, Addition, Subtraction).

So your first step is to add 6 to both sides.

2/5x - 6 (+6) = -16 (+6)

Simplify. Solve:

2/5x + (-6 + 6) = -16 + 6

2/5x = -10

_________________________________________________________

Finish finding for x.

Multiply the recipricol of the fraction to both sides to isolate the x. Multiply 5/2 to both sides:

(5/2)(2/5)x = (-10)(5/2)

x = (-10)(5/2)

x = (-50)/2

x = -25

x = -25 is your answer.

~

The answer is:

The velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.

[tex]u=14\frac{m}{s}[/tex]

To solve the problem and find the velocity, we need to isolate it from the equation used to calculate the maximum horizontal range.

We have the equation:

[tex]R=\frac{u^{2} }{g}[/tex]

Where,

R is the maximum horizontal range.

u is the initial velocity.

g is the gravity acceleration.

Also, from the statement we know that:

[tex]R=20m\\g=9.8\frac{m}{s^{2} }[/tex]

So, using the given information, and isolating, we have:

[tex]R=\frac{u^{2} }{g}[/tex]

[tex]R*g=u^{2}[/tex]

[tex]u^{2}=R*g=20m*9.8\frac{m}{s^{2} }=196\frac{m^{2} }{s^{2} }\\\\u=\sqrt{196\frac{m^{2} }{s^{2}}}=14\frac{m}{s}[/tex]

Hence, we have that the velocity with which the ball can be thrown to have a maximum range of 20 meters is equal to 14 m/s.

[tex]u=14\frac{m}{s}[/tex]

Have a nice day!

Answer:

The velocity with which a ball must be thrown to have a maximum range of 20 m is 14 m/s.

Note that this problem means to find the magnitude of the velocity and not the direction (it is implicit in the formula that the angle of the launch is 45°).

Explanation:

You just must use the given equation for the maximum horizontal range of a projectile and solve for u which is the unknwon:

Solve for u:

Take square root from both sides:

Answer:

A and B

Step-by-step explanation:

You can tell by just looking. Also because it is a isosceles triangle.

We can see here that the statement that is true regarding ΔEFG are true:

A. EF + FG > EG

B. EF + FG > EF

C. EG - FG < EF

A triangle is a polygon with three sides, three angles, and three vertices. It is one of the fundamental geometric shapes in Euclidean geometry. The sum of the internal angles of a triangle always adds up to 180°.

Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This theorem establishes a fundamental relationship between the lengths of the sides of a triangle.

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