g(x)=sqrt8x what is domain of g

Answer:

9[tex]a^{4}[/tex]b³

Step-by-step explanation:

The 2 terms are like terms and can be combined, that is

[tex]a^{4}[/tex]b³ ( 1 + 8)

= 9[tex]a^{4}[/tex]b³

Answer:

9a^4b^3

Step-by-step explanation:

a^4b^3 + 8a^4b^3

These are like terms so we can add them together

Factor out a^4b^3

a^4b^3( 1+8)

a^4b^3 (9)

9a^4b^3

Answer:

17,960

Step-by-step explanation:

Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.

First of all, we will find the mean of the given data.

[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]

Or

Mean = (200+130+400+500+345)/5

Mean = 1575/5 = 315.

Second step is to subtract the mean from each book cost;

(200-315) + (130-315) + (400-315) + (500-315) + (345-315)

(-115)+(-185)+85+185+30

Next you square the above deviation;

[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]

Then, divide the above by the average which is 5 in this case.

[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]

Hence, the value of the variance is 17,960.

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

Answer:

C: 1 and 3

Step-by-step explanation:

EDGE2021

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

Answer:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

Step-by-step explanation:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

One of the key features arte the vertex and this shows where it changes concativity.

While the x and y intercepts give you a couple of points of reference.

Also, the axis of symetry is only applicable to even degree polynomials

Step-by-step explanation:

hope it will help you..........

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠MNP = 90° so we can use Pythagorean theorem:

[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ2

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.

Complete the following tasks,

- Draw ΔSTU on the same set of axes.

- Fill in the coordinates of the vertices of ΔSTU.

- Complete the statement that compares the two triangles.

When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,

Rule to followed to get the vertices of ΔSTU,

(x, y) → (3x, 3y)

P(1, 1) → S(3, 3)

Q(3, 2) → T(9, 6)

R(3, 1) → U(9, 3)

Length of QR = 2 - 1 = 1 unit

Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units

Length of PR = 3 - 1 = 2 units

Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units

Length of TU = 6 - 3 = 3 units

Length of SU = 9 - 3 = 6 units

Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,

[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]

[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]

[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]

Since ratio of the corresponding sides are same,

Therefore, ΔPQR and ΔSTU are similar.

Answer:

Nathan weighs 12 more pounds than Marty.

Step-by-step explanation:

If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.

[tex]76-64=12[/tex]

In case Nathan was actually 476 pounds, the answer would be 412.

Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Answer:

[tex]\sqrt[12]{55296}[/tex]/2

Step-by-step explanation:

[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422

[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.

[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.

[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!

[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.

Answer:

It is C) ^12 square root 55296/2

Step-by-step explanation: I checked with my calculator.

Answer:

Congressman Stevens will win the race

Step-by-step explanation:

Considering the margin of error, the possible outcomes for each candidate would be:

Congressman Stevens: from (54 - 3)% to (54+3)%

Challenger Jones: from (44 - 3)% to (44+3)%

Congressman Stevens: from 51% to 57%

Challenger Jones: from 41% to 47%

Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.

Answer:

Step-by-step explanation:

Hello,

the line passes through (-8,11) means than y = 11 for x  = -8

I believe that you wanted to write the first one as below

[tex]y=-\dfrac{5}{8}x+6[/tex]

in that case for x = -8

y = - 5 * - 1 + 6 = 5 + 6 = 11

hope this helps

The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

First we need to find the slope

m = (y2-y1)/ (x2-x1)

   = (7/2 -11)/(4--8)

   = (7/2 - 22/2)/(4+8)

   = (-15/2)/(12)

  = -15/24

Divide top and bottom by 3

  -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ7

Answer:

≈ 94.9 mi²

Step-by-step explanation:

The area (A) of Δ WXY can be calculated as

A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW

∠ W = 180° - (40 + 21)° = 180° - 61° = 119°

Calculate WX using the Sine rule, that is

[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )

WX sin21° = 11 sin40° ( divide both sides by sin21° )

WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus

A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )

Answer:

1) A rectangular shape

2) Point  (30, 50)

3) (x - 30)² + (y - 50)² = 10²

4) Yes, the swimming pool will touch the flower beds

5) Point (45, 25)

Step-by-step explanation:

1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape

2)  So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)

3) The equation that will draw the swimming pool is the equation of a circle, given as follows

(x - h)² + (y - k)² = r²

Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,

Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet

The equation of the circle is therefore;

(x - 30)² + (y - 50)² = 10²

4) The coordinates of the center of the flower bed is (30, 45) which gives

(x - 30)² + (y - 45)² = 10²

Where the coordinates of the side of the flower pot is (20, 45), we have;

(20 - 30)² + (45 - 45)² = 10²

(-10)² = 10² = r²

Hence, point (20, 45) is on the circle

The other flower bed side has coordinates (40, 45) which gives

(40 - 30)² + (45 - 45)² = 10²

10² = r² = 10²

Point (40, 45) is also on the circle

Therefore, the swimming pool will touch the flower beds

5) At point (45, 25), we have;

(x - 45)² + (y - 25)² = 10²

The closest point is the patio with coordinates (40, 15) which gives;

(40 - 45)² + (15 - 25)² = 10² = 100

(-5)² + (-10)² = 125 > 100

Therefore, point (40, 15), is not on the circle.

Answer:

La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.

Step-by-step explanation:

La figura en la pregunta consta de tres formas

1) Una pirámide cuadrada

Altura inclinada = 5 m

Longitud lateral base = 3 m

2) un cubo

Longitud lateral, s = 3 m

3) Un prisma rectangular

Longitud = 6 m

Altura = 3 m

Ancho = 3 m

El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base

[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²

El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²

[tex]S_c[/tex] = 6 × 3² = 54 m²

El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto

[tex]S_R[/tex] = 4 × 6 × 3 +  3 × 3 = 81 m²

La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] +  [tex]S_C[/tex] +  [tex]S_R[/tex]

[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².

La superficie del cartón necesaria para construir el sólido es de 165 m².

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Answer: 10x454x0.55=2,497 grams of fruit

Answer:

The probability is 0.0053861

Step-by-step explanation:

To answer this question, the best thing to do is to put the wordings in a mathematical expression.

Thus what we have is;

P(z < 2.55)

Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.

From the standard normal distribution table, we can get the probability value that equals the given z-score value

Mathematically this is;

P(z<2.55) = 0.0053861

Answer:

4/ 3 = 7

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

first add two to each side

Simplify  7+2 to 9

3x=9

divide both sides by 3.

x=9/3

simplify 9/3 to 3

​

Answer:

 x               y

1/4              0

13/4            3

 2             7/4

Step-by-step explanation:

To complete the table we just need to replace the value of x and get y as:

for x = 1/4

[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]

for x=13/4

[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]

for x=2

[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]

So, the complete table is:

x            y

1/4         0

13/4       3

2           7/4

Answer:

[tex]\sqrt{3}x^2y+x^3-x[/tex]

Step-by-step explanation:

In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.

The other expressions have exponents that are negatives, rational or the exponent is the same variable.

Answer:

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

[tex]7x + 24 = 3x + 92[/tex]

Move variable to L.H.S and change its sign

[tex]7x - 3x + 24 = 92[/tex]

Move constant to R.H.S and change its sign

[tex]7x - 3x = 92 - 24[/tex]

Calculate

[tex]4x = 68[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{68}{4} [/tex]

Calculate

[tex]x = 17[/tex]

Replacing value

<A = [tex]7x + 24[/tex]

[tex] = 7 \times 17 + 24[/tex]

[tex] = 119 + 24[/tex]

[tex] = 143[/tex]

hope this helps...

Answer:

  a) 18.6%

  b) 598,230

Step-by-step explanation:

a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...

  percentage difference = (difference)/(original value) × 100%

The difference of interest is the difference between the 2011 population and the 2001 population

  difference = 510,000 -430,000 = 80,000

The original value is the 2001 population, so the percentage difference is ...

  percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%

This is a positive value, so represents an increase.

The percentage increase in population from 2001 to 2011 was 18.6%.

__

b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:

  difference = (percentage difference)/100% × original value

Then the difference between the 2021 population and the 2011 population will be ...

  difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230

So, the population in 2021 is expected to be 88,230 more than in 2011:

  2021 population = 520,000 +88,230 = 598,230

The predicted population in 2021 is 592,230.

Answer:

Step-by-step explanation:

The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.

H = 9 cm

S = 21 cm

A = S•H = 21 cm • 9 cm = 189 cm²

Hey there! I'm happy to help!

To find the volume of a rectangular prism, you simply multiply each of the three different sides!

18×9×17=2754

Therefore, the volume of this rectangular prism is c. 2754 units cubed.

Now you can find the volume of a rectangular prism! Have a wonderful day!

Answer:

=12pl+B

Step-by-step explanation:

where p represents the perimeter of the base, l the slant height and B the area of the base.

Answer:

4 + 4 sqrt 10

Step-by-step explanation:

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

Answer:

yes it is a function

Step-by-step explanation:

Mathematics

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

False

Step-by-step explanation:

A function has only 1 y value for any given x value.

You can use the "vertical line test" to check if a graph is of a function.  Move a vertical line (you can use the edge of a ruler) from left to right across the graph.  If at any point the line intersects the curve in two or more places, the curve is not a function.