Which of the following functions best models the data shown in this scatterplot?

1. y=15x^2+18

2. y=100x−200

3. y=450x−600

4. y=3x+10

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Answer:

[tex]\huge\boxed{\bf\:x < 2}[/tex]

Step-by-step explanation:

[tex]5(2x + 8) < 60[/tex]

Multiply 5 by 2x & 8 in the right hand side of the inequality .

[tex]5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\[/tex]

Bring 40 to the other side of the inequality .

[tex]10x + 40 < 60\\10x < 60 - 40\\10x < 20[/tex]

Bring 10 to the left side of the inequality .

[tex]10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

the star is 4 and the moon shaped is 7

Step-by-step explanation:

the stars have to be an equal amount and 1 plus moom= the 2 stars that have the same amount

and 3+4 = 7

so if you do 7+1 = 4+4

Answer:

5/16 mile

Step-by-step explanation:

5/8 * 1/2 = 5/16 mile

Answer:

$49.90

Step-by-step explanation:

Thats what i got :)

Wow some people get PAID to babysit ?!!? XD

Answer:

(4, 2 ) and (2, 4 )

Step-by-step explanation:

xy = 8 → (1)

y = - x + 6 → (2)

substitute y = - x + 6 into (1)

x(- x + 6) = 8

- x² + 6x = 8 ( subtract 8 from both sides )

- x² + 6x - 8 = 0 ( multiply through by - 1 )

x² - 6x + 8 = 0 ← in standard form

(x - 4)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 2 = 0 ⇒ x = 2

substitute these values into (2) for corresponding values of y

x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )

x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )

Answer:

When the plane cuts the cone at an angle between a perpendicular to the axis (which would produce a circle) and an angle parallel to the side of the cone (which would produce a parabola), the curve formed is an ellipse.

Step-by-step explanation:

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Answer:

B. The sample proportion would less closely model the population proportion.

Step-by-step explanation:

if they chose 10% and changed it to 5% theres gonna be less data to go by.

The sample proportion would less closely model the population proportion.

Option A is the correct answer.

Random sampling is a statistical method of selecting a sample from a larger population in a way that every individual in the population has an equal chance of being selected.

In other words, random sampling is a process of selecting a subset of individuals from a population in which every member of the population has an equal chance of being chosen.

This helps to reduce bias and increase the likelihood that the sample represents the population accurately.

Random sampling is commonly used in research studies, opinion polls, and market research to draw conclusions about a population based on a smaller sample.

We have,

When the sample size is smaller, there is a higher chance of the sample being unrepresentative of the population, resulting in a larger sampling error.

Therefore, if the student council decided to sample only 5% of the student body instead of 10%, it is more likely that the sample proportion would be less accurate and less closely model the population proportion.

Thus,

The sample proportion would less closely model the population proportion.

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If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.

z-score for 95% confidence interval =1.96

Lower limit of the interval:

Lower limit=Sample mean-(Z-score×Margin of error)

Lower limit=18.7-(1.96×5.9)

Lower limit=18.7-11.564

Lower limit=18.7-11.6 (Approximately)

Upper limit of the interval:

Upper limit=Sample mean+(Z-score×Margin of error)

Upper  limit=18.7+(1.96×5.9)

Upper  limit=18.7+11.564

Upperr limit=18.7+11.6 (Approximately)

Hence:

Confidence interval= 18.7 ± 11.6

Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.

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Answer:

18.7 ± 11.6

Step-by-step explanation:

The answer above is correct.

Answer:

[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]

Step-by-step explanation:

[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]

Multiplication is the process of multiplying two numbers. The amount that is needed to be added to the income is $1,820.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Jordan's family needs to add $35 more per week to their food budget, Since a year has 52 weeks, therefore, the amount that is needed to be added by Jordan's family is,

[tex]\rm Amount\ Needed = \$35 \times 52 = \$1,820.00[/tex]

Hence, the amount that is needed to be added to the income is $1,820.

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Answer:

Step-by-step explanation:

We do not know the coordinates of triangle ABC, however, if the coordinates were (hypothetially) A (-2,0) B (-2,2) and C (-1,0) then we would flip triangle ABC over the line x=-3, point A would move 2 points horizontally to the left. Point B would move 2 points horizontally to the left. Point C, would move 4 points horizontally to the left. The Y coordinates would stay the same. Basically, instead of flipping it over the origin, you "move the origin" to whichever point you are told, they would function the same.

Answer:

25

Step-by-step explanation:

multiply 10 times 100

divide that by 40

Answer:

35 x 14 = 490

Step-by-step explanation:

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

[tex]volume \: of \: the \: cylinder \: = \pi {r}^{2} h[/tex]

[tex] = > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3} [/tex]

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

[tex]slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} } [/tex]

[tex] = > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm[/tex]

Volume of the cone = 1/3 *πr^2h

[tex] = > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3} [/tex]

therefore, the volume of the remaining solid

[tex] = 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3} [/tex]

Curved surface of the cylinder =

[tex]2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .[/tex]

[tex]curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2} [/tex]

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

[tex] = 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2} [/tex]

Answer:

3 is D

4 is F

Step-by-step explanation:

Just multiple the numbers together

Hi!

Your answer is 52.

To start off, let's start with some facts that will help us solve this:

Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.

Triangles (all of them) have angles that add up to 180 degrees.

We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:

[tex]67 +?=180[/tex]

[tex]?=113[/tex]

That angle is 113 degrees.

Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:

[tex]15+113+x=180[/tex]

[tex]128+x=180[/tex]

[tex]x=52[/tex]

Therefore, x is equal to 52.

Answer:

21.4

Step-by-step explanation:

a^2+b^2=c^2

13^2+17^2=c^2

169+289=c^2

458=c^2

squrt 458=c^2

21.4=c

The quadratic equation has no real roots. This means the line and point has no point of intersection.

System of equations are equations that is more than one and have two or more unknowns.

Given the simultaneous equation

x^2 + y^2 = 25

2x + y = 25

from equation 2;

y = 25 - 2x ................3

Substitute equation 3 into 1 to have:

x^2 + (25-2x)^2 = 25

x^2 + 625 - 100x + 4x^2 = 25

5x^2 -100x + 600 = 0

x^2 -20x + 120= 0

Hence the quadratic equation has no real roots. This means the line and point has no point of intersection,

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Answer:

C on edge

Step-by-step explanation:

(0,-5) and (-4,3)

Answer:

240 feet

Step-by-step explanation:

hope this helps :)

Answer:

The probability of getting gray = no. of gray shades / total

=> 2/7

The probability of getting head when we toss a penny = head / total ( head + tail )

=> 1/2

Answer: 38 students

Step-by-step explanation:

     To answer this question we will find 95% of 40. Keep in mind that a percent divided by 100 becomes a decimal.

95% / 100 = 0.95

0.95 * 40 = 38

         38 students passed their test.

Answer:

B

Step-by-step explanation:

Remark

The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.

The second longest line is opposite the second largest angle

Sin(A) = opposite / hypotenuse

Solution

Sin(A) = 12 / 13   =        Opposite / hypotentenuse

Sin(A) = 0.9231             12/13 = 0.9231          

A = sin-1(0.9231)           Take the inverse sine of 0.9231

A = 67 rounded

Therefore then angle opposite the shortest side must be 90 - 67 = 23

Answer: 67 and 23

Answer: 12 units

Step-by-step explanation:

    Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.

   6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12

         d = 12

Answer:

d = 12

Step-by-step explanation:

multiply 6√2 by √2

since they are congruent angles (angles that have equal measure).

Answer:

w = 45

y = 45

Step-by-step explanation:

im really sorry if i got it wrong i just want to help

Answer:

the answer should be 0.05 degrees every year

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Answer:

C

Step-by-step explanation:

Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.

[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]

Answer: An example is m³

Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³

Answer:

045°

Step-by-step explanation:

[tex]135 - 90 = 45[/tex]