The function g is defined by g(x) = 2x² +7.
Find g(4y).

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y  – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

Answer:

Step-by-step explanation:

Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!

Answer:

1 : 8

Step-by-step explanation:

Given the height of 2 similar cylinders = a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8

Answer:

201.06

Step-by-step explanation:

pi × 8²

Answer:

140

Step-by-step explanation:

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

Answer:

$96

Step-by-step explanation

area of sail = ½×8×12= 48 sq ft

the cost of new sail = 48 × $2

= $96

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex]  can be broken down into three fractions, coefficients, powers of p, powers of q.

[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

Learn more about Probability :

https://brainly.com/question/11234923

#SPJ1

Answer:

Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

Answer:

[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Step-by-step explanation:

The equation of the curve is

[tex]Y = sin^{-1}(7x)[/tex]

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is  [tex]x = \sqrt{\frac{1}{7} }[/tex]

Then slope would accordingly be

[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]

= ∞

For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]

Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]

Answer:

d. more than 95%

Step-by-step explanation:

According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.

As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.

Step-by-step explanation:

A. x^2-9x+18

B. x^2-8x+16

C. 2x^2-5x-12

D. 12x^2-31x+7

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-1, 0) & (5, 0)

Y-intercept: (0, -5)

Vertex: (2, -9)

Axis of Symmetry: x = 2

Answer:

B. 64 square inches

Step-by-step explanation:

you just add

Answer:

Step-by-step explanation:

4

Answer:

6x+12=T

Step-by-step explanation:

Amy bakes x cakes.

Barry bakes 4x.

Ceri bakes x+12

So the total is 6x+12=T

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

Answer:

7.3

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

He has to pay 15% as that is 32 and more than $25

Step-by-step explanation:

If you take 15% out of 216 it will become 32.

Answer:

3/5

Step-by-step explanation:

both 6 and 10 divide by 2. divide each number by 2 and you get 3/5

Answer:

3/5

Step-by-step explanation:

To find the simplest form of 6/10, you must reduce the fraction.

I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).

Hope this helps :)

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

the correct answer is 5 snowmen

Answer:

f(3)= 12

Step-by-step explanation:

if f(1)= 4 then f(3)= 12

Answer:

See solutions below

Step-by-step explanation:

2) angle at the vertex is half that of its intercepted arc;

51 = 1/2(14x-38)

51*2 = 14x-38

102 = 14x-38

14x = 102 + 38

14x = 140

x = 140/10

x = 14

3) 9x+7 = 1/2(68)

9x + 7 = 34

9x = 34-7

9x = 27

x = 27/9

x = 3

4) 114 = 1/2(30-(8x-36+40))

114 = 1/2(360-8x+36-40)

114*2 = 356 - 8x

-8x = 228-356

-8x = -128

x = 128/8

x = 16

Answer:2

Step-by-step explanation:

51+14x-38=180

13+14x=180

14=167

X=12

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation: