Identify the slope as positive, negative, zero or undefined

Answer:

I think it’s 10

The number of times that Greg chooses a yellow pebble is 22 times.

To find the number of possible choices, calculate the number of chances in the total number of outcomes.

Since we need to find the number of choices that are expecting a yellow pebble, find the total number of yellow pebbles in the number of pebbles in both Claire and Laura's cases and find the total number of yellow pebbles.

Here we have

A table below shows the number of painted pebbles by Claire and Laura

From the table,

Number of pebbles that Laura painted = 8 yellow, 7 green, 10 blue

Number of pebbles that Claire painted = 14 yellow, 5 green, 6 blue

Total number of yellow pebbles = 8 + 14 = 22

Given that

Greg chooses a pebble at random from the box 75 times, and each time replaces the pebble  

Hence, the number of time that Greg get yellow pebble = number of yellow pebbles

Therefore,

The number of times that Greg chooses a yellow pebble is 22 times.

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The end behavior of the function q(x) is:

To know the end behavior we need to look at the degree and the sign of the leading coefficient.

If the degree is even, and the leading coefficient is negative, then in both ends the function will tend to negative infinity.

Here we can see that the function is:

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

So, the degree is 8, and the leading coefficient is -2, then the end behavior of the function is:

when x → ∞, q(x) → -∞

when x → -∞, q(x) → -∞

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Answer:

1080

Step-by-step explanation:

72x15=1080 milliters of distilled water

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

15

Step-by-step explanation:

Answer:

7.8 units

Step-by-step explanation:

(-3,4) and (-8,-2)

d = sqrt [(4 - - 2)^2+ (-3 - - 8)^2

d =sqrt [(4+2)^2 + (-3+8)^2]

d = sqrt (36 + 25)

d = sqrt 61

d = 7.8 units

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

Let x represent the number of cyclists.

Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:

Revenue = 60x + 15000

Also, the cost of the race is $18 per entry, hence:

Cost = 18x

They need to raise at least $57,000, hence:

Profit ≥ 57000

Revenue - Cost ≥ 57000

(60x + 15000) - 18x ≥ 57000

42x ≥ 42000

x ≥ 1000

Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

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The amount of the interest, payment to principal, and new principal for the first payment is solved

Given data ,

Let the loan amount = $ 210,000

Let the interest rate r = 6.5 %

Let the monthly payment be = $ 1,362.06

Now , On calculating the monthly interest rate

Monthly interest rate = 0.065 / 12 = 0.00542 or 0.542%

Calculate the interest amount

Interest amount = 0.00542 x $210,000 = $1,138.20

Calculate the payment to principal

Payment to principal = $1,362.06 - $1,138.20 = $223.86

Calculate the new principal balance

New principal balance = $210,000 - $223.86 = $209,776.14

Hence , for the first payment, the amount of interest is $1,138.20, the payment to principal is $223.86, and the new principal balance is $209,776.14

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The rotation of the image given 180° clockwise around the point (-2, 1) gives the image in the second option.

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

The coordinates of the given image are :

(-1, 1), (-2, 1), (-1, 4) and (-2, 4).

Point of rotation is (-2, 1).

The points are not rotated around the origin.

To make it seem like around the origin, subtract the point of rotation from the points.

So the new points are :

(1, 0), (0, 0), (1, 3) and (0, 3)

Now rotate the image with the new coordinates around the origin 180° clockwise.

Rotation is -180°, which is equivalent to rotation of 180° counterclockwise.

Coordinates (x, y) when rotated 180° clockwise becomes (-x, -y).

New coordinates after rotation about origin are :

(-1, 0), (0, 0), (-1, -3) and (0, -3).

Now add the point of rotation (-2, 1) again.

Points are :

(-3, 1), (-2, 1), (-3, -2) and (-2, -2).

Image with these points is the second option.

Hence the required image is the second option.

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Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

The meters of tape left in the roll will be equal to 1/5 meters.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

The total length of Tape = 5 m

Total number of pieces = 6

Length of each piece = 4/5 m

Then, the total length of the pieces will be,

6 × 4/5

= 24/5

Then, the amount of tape left in the roll will be,

= 5 - 24/5

= (25 - 24)/5

= 1/5

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The illustration below is a semi-regular tessellation is a false statement.

Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.

One geometric shape will not overlap with the other and there will not be any gaps in between.

There are regular tessellations as well as semi-regular tessellations.

Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.

Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.

Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.

It is actually regular tessellation.

Hence the statement that the illustration is semi-regular tessellation is incorrect.

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Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Answer:

foreal

Step-by-step explanation:

Answer:

Option B is correct

Step-by-step explanation:

Original expression is |8 - 1| = 7 = distance between number 1 and number 8

=> Option B is correct

Hope this helps!

The number line model that matches the expression |8 - 1| which is correct option(B)

The graph can be defined as a pictorial representation or a diagram that represents data or values.

The expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression as |8 - 1|,

The value of the expression would give us 7. Meaning that the distance between coordinate 8 and 1 is 7 units.

The graphs given models the expression, |8 - 1|.

Option A, would match |-8 -1| = 5 units

Option B, would match |8 - 1| = 7 units.

Therefore, the answer is option (B).

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The value of P or solution of the inequality is determined as p ≤ 2/5.

The value of P or solution of the inequality is calculated as follows;

5/2p + 15/6p - (3 + 2p)/p ≥ 3

find the LCM of the denominators and multiply though by it;

LCM = 6p

15 + 15 - 6(3 + 2p) ≥ 18p

30 - 18 - 12p ≥ 18p

12 - 12p ≥ 18p

12 ≥ 18p + 12p

12 ≥ 30p

12/30 ≥ p

2/5 ≥ p

or p ≤ 2/5

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Given :

Required :

From the properties of a parallelogram,

The diagonals separate it into two congruent triangles. Hence,

Remember that congruent triangles have the same three sides and exactly the same three angles

Similarly,

Note: The congruent triangles are flipped along the diagonal

A prism Always has two congruent, parallel bases.

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

Step-by-step explanation:

B 160 milliliters

Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%

Step-by-step explanation:

The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39  −  ( 10.39  ⋅  31 % ) )

Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.

The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39  −  ( 10.39  ⋅  10 % ) )

Answer:

9.92 x 10⁷

Also, if you could label this brainliest that would be a great help!

Thanks xx 

-Dante

Answer:

Step-by-step explanation:

\((3.2*10^{5}})*(3.1*10^{2})=3.2*3.1* 10^{5+2}\\\\= 9.92*10^{7}\)

Answer: 3^3 Square root 3

Step-by-step explanation:

The result of the respective questions are:

a)

This chi-square test only takes into consideration one variable.

b)

The  type of chi-square test this is, is a Goodness of Fit

To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.

The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.

c)

Parameter

n = 4

Therefore

Degrees of freedom

df= n - 1

df= 4 - 1

df= 3

d)

In conclusion

Parameters

\(\alpha = 0.05\)

df = 3

Hence

Critical value = 7.814728

Test statistic = 6.6

Test statistic < Critical value, .

NO, the result of this test is not statistically significant.

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We will solve as follows:

Here alpha is the blank space, we then will solve by factoring:

*Two numbers that added equal -12 can be -10 and -2 and when multiplied they equal to 20, then we will have that alpha will be equal to:

Then, the final expression is: