Fill in the inequality first ( ) and then the number: x ____ ____

Answer:

b [tex]\leq[/tex] 161

Step-by-step explanation:

Create an inequality:

[tex]\frac{b}{7}[/tex] [tex]\leq[/tex] 23

Multiply each side by 7, to isolate b:

b [tex]\leq[/tex] 161

So, the answer b [tex]\leq[/tex] 161

Answer:

b/7 ≤ 23

Step-by-step explanation:

This is the phrase written as an inequality.

Answer:

y = 2(4^(x))

Step-by-step explanation:

In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions.

This means in 2012, it was 2^(5) lions while after 1 year it was 2^(7) lions

Thus, it increases every year by a ratio of 2^(2)

Thus, in 2011, it was 2^(5) - 2^(2) = 2^(3) lions

In 2010, it was 2^(3) - 2^(2) = 2

Since Lions were introduced in the park in 2010, using f(x), it means;

at x = 0, f(x) = 2

at x = 1, f(x) = 2^(3)

at x = 2, f(x) = 2^(5)

at x = 3, f(x) = 2^(7)

To find an exponential function that models the situation, let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have;

2 = a × b^(0)

Thus,a = 2

At x = 1, y = 2^(3)

Thus; 2^(3) = 2 × b^(1)

b = 8/2

b = 4

So the exponential equation is;

y = 2(4^(x))

You can use the fact that the given figures are expressible as 2 raised to some powers.

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

Those functions which are expressed as some constant raised to the power of the argument called exponential function.

Since 2012  - 2010 = 2 and the number of lions = 32 = [tex]2^5[/tex]

and 2013 -2010 = 3 and the number of lions =128 = [tex]2^7[/tex]

Thus, there is increment of 2 exponent as 1 year was changed.

Thus, we have:

[tex]f(x) = 2^{2x + a}[/tex] where a might be some constant( i took this form of exponent just by trial and error. It was already visible that one year was increasing double output, thus 2x and since there was just double increase and no other effect, there might be some non variable thing(a constant) so i thought to try some variable and see if this can work)

Since at x = 2, we get 2 raised to the power 5

thus.

[tex]2(2) + a = 5\\a = 1[/tex]

Thus,

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

You can see that this will give correct output for x = 2 and x = 3

Learn more about exponential functions here:

https://brainly.com/question/15680851

Answer:

56.25 miles

Step-by-step explanation:

2 inches=75 miles

1 inch=37.5

1/2 inch=18.75

37.5+18.75=56.25

please mark me as brainliest!!<3

Answer:

3.66 cm

Step-by-step explanation:

r = Radius of cylinder

h = Height of the cylinder = 11 cm

A = Total surface area of the cylinder = [tex]337\ \text{cm}^2[/tex]

Total surface area of a cylinder is given by

[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r(r+h)\\\Rightarrow \dfrac{A}{2\pi}=r^2+rh\\\Rightarrow r^2+rh-\dfrac{A}{2\pi}=0\\\Rightarrow r^2+11r-\dfrac{337}{2\pi}=0\\\Rightarrow r^2+11r-53.64=0\\\Rightarrow 100r^2+1100r-5364=0\\\Rightarrow r=\dfrac{-1100\pm \sqrt{1100^2-4\times 100\left(-5364\right)}}{2\times 100}\\\Rightarrow r=3.66,-14.65[/tex]

So, the radius of the circular top is 3.66 cm.

Graphing is pretty easy. Think of the x and y axis as a number line, you go to the right of 0 you get positive. You go to the left, you get negative. The x axis is just that, the y axis is just like a number line but flipped. You go up for positive and down for negative on the y axis. The middle point is always (0,0). To graph a shape, you just connect the points. To plot positive points you would go right and up. So to plot (8,2), you would go 8 points right on the x axis, then 2 points up on the y axis. Think of Quadrant I as 2 positive points, if both points are positive, plot them there. If you need to plot a negative point then a positive point you would go to Quadrant II. If both of the points are negative, plot them in Quadrant III. If it is a positive point then negative, go to Quadrant IV. Remember, the x axis always comes first. Always go right or left first, then up or down. You determine how many points to go right or left then up or down by the point given. Lets take another example. If you were told to plot (-1,5), that would go in Quadrant II. You would go left 1 and up 5. I explained the concept of the coordinate plane, although, I'm not sure what you mean by coordinate proof. Hope that helped :)

Answer:

m24,m249,m416,kar98k

Step-by-step explanation:

過文はまやたらあわまはやたはたやはたやたなまやたはたはまはたやあはたはたはたはたはた

Answer: it's the last one  It's not a function

Step-by-step explanation

Answer:

x < 7

Step-by-step explanation:

Given

5x - 7 < 28 ( add 7 to both sides )

5x < 35 ( divide both sides by 5 )

x < 7

Answer:

x>7

Step-by-step explanation:

Treat this inequality as a regular equation.

-5x<35

-x<7

x>7

(You switch signs if you divide with a negative btw.)

Answer:

y = 1/4x -2

Step-by-step explanation:

Slope intercept from is y = mx + b

m is the slope (rise/run) and this one is one over four.

The y-intercept is b and this line crosses the y-axis at -2.

Answer:

As a citizen, the Bill of Rights has a huge effect on us daily. As citizens, we are extremely lucky to have this document to protect and ensure all of our freedoms and rights.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Area is qual to length times width.

A = lw

Rearrange this to find width.

w = A/l

Now plug in your known numbers and simplify.

w = 40/4

w = 10

Answer:

Step-by-step explanation:

= £16855.21  -  ( £16855.21 x 13.5% )

                                                 100

= £ 14,579.75

Step-by-step explanation:

triangle with 2 sides of equal lengths= isoceles

triangle with 3 sides of equal lengths= equilateral

Answer:

if the two sides are congruent, then it's an isosceles triangle.

all angles congruent and it's an equilateral.

all angles unequal and it's a scalene.

if all the angle measures are less than 90 degrees, then it's acute, but more than 90 degrees would be obtuse.

Answer:

1582480848 miles

Step-by-step explanation:

The maximum distance is another vertex of the major axis

1,636,484,848 miles - 54,004,000 miles = 1582480848 miles

Based on the calculations, the maximum distance from the Comet to the Sun is equal to 1,582,480,848 miles.

In this scenario, the elliptical orbit of the Comet with respect to the Sun at one focus and a major axis is equal to 1,636,484,848 miles. Also, the closest it came to the Sun is 54,004,000 miles.

Thus, we would divide the length of the major axis by the distance between the Comet and the Sun as follows:

Maximum distance = 1,636,484,848/54,004,000

Maximum distance = 1,582,480,848 miles.

Read more on maximum distance here: https://brainly.com/question/1992509

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Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Divide by 2

32/2 = 16

Therefore-

16 books per box

Answer:

x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

18x = 9 × 3 = 27 ( divide both sides by 18 )

x = [tex]\frac{27}{18}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

Maybe the first?

Step-by-step explanation:

If the first choice was 8 yards by 4 yards, then it would be correct.

A reduction means a scale factor of less than 1, while the second, third, and fourth choices have scale factors of 6, 12, and 2 respectively.

so true i fo it all the time

Answer:

We know that:

Mary has 5/7 of the red paint tube

And she also has 4/7 of the blue paint tube.

How much paint does she have in total?

Well, we only need to add these fractions.

5/7 + 4/7 = 9/7

We can rewrite the 9 as 7 + 2, then we get:

9/7 = (7 + 2)/7 = 7/7 + 2/7 = 1 + 2/7

This means that, in total, she has a complete tube and two sevents of other.

Answer:

For which equations does the fraction 23 make the equation true? Select all that apply.

35 × □ = 20; I rewrote 35 as 351 and then multiplied 2 and 35 to get the numerator, and I multiplied 3 and 1 to get the denominator.

26 × □ = 18126; I rewrote 26 as 126 and then multiplied 1 and 2 to get the numerator, and I multiplied 3 and 26 to get the denominator.

48 × □ = 32; I rewrote 48 as 481 and then multiplied 2 and 48 to get the numerator, and I multiplied 3 and 1 to get the denominator.

22 × □ = 1423; I rewrote 22 as 221 and then multiplied 2 and 22 to get the numerator, and I multiplied 3 and 1 to get the denominator.

23 × □ = 15; I rewrote 23 as 123 and then multiplied 2 and 1 to get the numerator, and I multiplied 23 and 3 to get the denominator.

Answer:

27: -5/11

28: 4x^2+12x

29: (2b-7c+5a)(2b-7c-5a)

30: 2/3

Step-by-step explanation:

27 is pretty simple, start by multiplying both sides by 6

so we have 2(6y+1)=y-3

this equal 12y+2=y-3

Subtract 1y and 2 from both sides to get

11y=-5

divide and get y= -5/11

28: this one is a lot to write so if you need me to explain it leave a comment but I got 4x^2+12x

29: Same deal as 28

(2b-7c+5a)(2b-7c-5a)

30: For this one I just distributed then combined like terms to get y=2/3

Answer:

It is non linear

Step-by-step explanation:

Linear means that it goes at a constant rate (aka a straight line)

This graph does not have a straight line so it is non-linear

Answer:

62

Step-by-step explanation:

62+7000000= 7000062 however when you divide that by its constant of the root of the sqared denominator, you get 4. THENNNN you add 3 to planks constand to get 62.

Answer:

x = [tex]\frac{25}{6}[/tex]

Step-by-step explanation:

Given expression is,

[tex]2x-\frac{11}{4}x=-\frac{25}{8}[/tex]

[tex]\frac{8x}{4}-\frac{11}{4}x=-\frac{25}{8}[/tex]

[tex]\frac{8x-11x}{4}=-\frac{25}{8}[/tex]

[tex]-\frac{3x}{4}=-\frac{25}{8}[/tex]

[tex]\frac{3x}{4}\times 4=\frac{25}{8}\times 4[/tex]

[tex]3x=\frac{25}{2}[/tex]

[tex]\frac{3x}{3}=\frac{25}{2}\times \frac{1}{3}[/tex]

x = [tex]\frac{25}{6}[/tex]

Answer:

64

Step-by-step explanation:

Answer:

[tex]6d + 7[/tex]

Step-by-step explanation:

just add the like terms and remove the parthenses

d+ 5d = 6d

and 3+4 =7

6d + 7

Answer:

6d + 7

Step-by-step explanation:

Answer:

The bearing of A from B is 296 degrees

Step-by-step explanation:

Here, we want to find the bearing of point A from point B

To find the bearing of point A from B, we simply subtract the bearing of B from A from 360

Mathematically, that will be;

360 - 64 = 296 degrees

Answer: -7y+8x

Step-by-step explanation: I assume you mean to simplify

Step 1: Remove parentheses : -4y - x - (3y - 9x)

Step 2: -(3y - 9x) = -3y + 9x

Step 3: Simplify: -4y - x - 3y +9x

Step 4: Answer: -7y+8x