Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?

The rate of change for the function on the table is; 15 grapes eaten per minute.

It follows from the complete question that the table given indicates that;

On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

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Answer:

Step-by-step explanation:

easy

y=3x-2

-3x+y=-2

-3x=-2-y

x=2/3+1/3y

Answer:

B

Step-by-step explanation:

because i said so

Thus, 2028 needs to be multiplied by 3 to become a perfect square. Therefore, the number 6084 has 3 pairs of equal prime factors . Hence, the smallest number by which 2028 must be multiplied so that the product is a perfect square is 7

Answer:

Step-by-step explanation:

If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.

The radius of the circle r = 2.4 kilometers

The measure of the central angle exists at 150°.

The length of the arc = central angle/360 × 2πr

The length of the arc = 150°/360° × 2 × π × 2.4 = 2π

The length of the arc exists 2π kilometers.

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The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear equation is in the form:

y = mx + b

Where m is the slope and b is the y intercept

Let y represent the amount of water in the pool after x seconds, hence:

y = -2x + 10800

After 187 s:

y = -2(187) + 10800 = 10426 gallons

The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons

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Using the z-distribution, the estimate for how much the drug will lower a typical patient's systolic blood pressure is:

[tex]46.6 \leq \mu \leq 48[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 80% confidence level, hence[tex]\alpha = 0.8[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.8}{2} = 0.9[/tex], so the critical value is z = 1.28.

The other parameters are given by:

[tex]\overline{x} = 47.3, \sigma = 15.9, n = 878[/tex]

Then the bounds of the interval are:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 47.3 - 1.28\frac{15.9}{\sqrt{878}} = 46.6[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 47.3 + 1.28\frac{15.9}{\sqrt{878}} = 48[/tex]

Hence the interval is:

[tex]46.6 \leq \mu \leq 48[/tex]

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Answer: C, 93m^2

Step-by-step explanation:

first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.

Answer:Triangle A = 7.5 Triangle B= 15 Area=22.5

Step-by-step explanation:

So first we have to get the area of Triangle A. This means we have to find the height and base of it. The base is 5 and the height is 3 as you can see in the picture. So 5x3 equals 15, but because it's a triangle we have to divide by 1/2, which makes 7.5. So the area for Triangle A is 7.5.

Now we have to find the area for Triangle B. The height is 3 and the base is 10. So like we did with Triangle A we have to multiply and then divide by 1/2. Which makes 15.

Now that you have both areas you just have to add them together. Which makes 22.5.

So 22.5 is the answer. Give brainilest if you can!

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

A number is a perfect square if the following property is satisfied:

a = b², where is a natural number.

Please notice that b can be either a prime number or a product of prime numbers.

Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of prime numbers:

35280 = 2⁴ × 3² × 5 × 7²

35280 = (2²)² × 3² × 5 × 7²

35280 = 4² × 3² × 5 × 7²

Then, we must add a 5 to find a product that is a perfect square:

4² × 3² × 5² × 7² = 176400

5 is the smallest number by which 35280 must be multiplied so that the product will be a perfect square.

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Answer: B

Step-by-step explanation:

We know N cannot be 0 as the value would not be negative.
We know N cannot be negative as that would make the expression positive.
B is the only answer that works.

The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

Mathematically, the area of a triangle can be calculated by using this formula:

Area = ½ × b × h

Where:

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

Next, we would determine the area of the two parallelograms as follows:

Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.

Substituting the given parameters into the formula, we have;

Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)

Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4

Area of parallelogram 1 = 36 - 16

Area of parallelogram 1 = 20 units².

For parallelogram 2, we have:

Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.

Substituting the given parameters into the formula, we have;

Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)

Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6

Area of parallelogram 2 = 32 - 16

Area of parallelogram 2 = 16 units².

Difference = Area of parallelogram 1 - Area of parallelogram 2

Difference = 20 - 16

Difference = 4 units².

In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

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Answer:

So, having "hold-out" data allows you to have a nonpartisan set of data (so to speak) for you to refer to later, once you have made use of the "train" and "test" sets. That way you can make a fair assessment as to the difference between the new and old ('hold-out") sets.

Or if you need to repeat the experiment or model again - then you can refer to the "hold out data"

The kind of transformation that is illustrated based on the information given is reflection.

It should be noted that transformation simply means the change in the position of an object while maintaining the length and other properties.

In this case, the kind of transformation that is illustrated based on the information given is reflection.

This is the flipping of the pre image and then producing the mirror image.

Here, there'll be no change in the shape of the size. This depicts congruency.

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Answer:

2 x 3 x 3 x 5 x 5 x 5 x 5

Step-by-step explanation:

see picture

Answer:

Bottom left

Step-by-step explanation:

Since the slope has to be positive it can't be the ones on the right side since both of them are negative. And the bottom left one is rising 3 and running 4. (formula = rise/run). See image.

Answer:

a = 9

Step-by-step explanation:

[tex]\sqrt{2a-14} = 2[/tex]

2a - 14 = 4

2a = 18

a = 9

Answer:

The answer to this question is a = 9.

Step-by-step explanation:

To solve this problem, we need isolate the variable "a" on one side of the equation. Our first step must be to remove the square root. To do this, we should perform the inverse operation, which is squaring both sides.

√2a - 14 = 2

(√(2a - 14))² = 2²

2a - 14 = 4

Next, we should add 14 to both sides of the equation to get the variable term by itself.

2a - 14 + 14 = 4 + 14

2a = 18

Finally, we should divide both sides of the equation by 2 to remove the coefficient from the variable term.

a = 9

Therefore, the correct answer is a = 9.

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Answer:   9

Step-by-step explanation:

assuming that each box is 1 square inch then, you would get 9 square inches.

0,5 go down three to get 0,2

0,2 go left three to get -3,2

-3,2 go up three to get -3,5

-3,5 go right three to get 0,5

so you end up with a 3-by-3 box

Using the normal distribution, it is found that:

a. A male sailor whose waist is 34.1 inches is at the 87.5th percentile.

b. 5.7% of male sailors requires custom uniform pants.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 32.6, \sigma = 1.3[/tex]

For item a, the percentile is the p-value of Z when X = 34.1, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (34.1 - 32.6)/1.3

Z = 1.15

Z = 1.15 has a p-value of 0.875.

Hence 87.5th percentile.

For item b, the proportion who does not require an special order is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 30, hence:

X = 36:

Z = (36 - 32.6)/1.3

Z = 2.62

Z = 2.62 has a p-value of 0.996.

X = 30:

Z = (30 - 32.6)/1.3

Z = -2

Z = -2 has a p-value of 0.023.

0.996 - 0.023 = 0.943.

Hence the proportion who requires an special order is:

1 - 0.943 = 0.057.

5.7% of male sailors requires custom uniform pants.

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Answer: [tex]\huge\boxed{\boxed{15}}[/tex]

Step-by-step explanation:

Given expression

[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]

Simplify the exponents

[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]

Simplify values in the parenthesis

[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]

Simplify absolute values (all positive)

[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]

[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]

Simplify by division

[tex]\large\boxed{=3~[5]}[/tex]

Simplify by multiplication

[tex]\huge\boxed{\boxed{=15}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The answer is 25.

The expression is equivalent to [tex]\frac{125^{2} }{125^{\frac{4}{3}} }[/tex] :

[tex]\frac{125^{2} }{125^{\frac{4}{3}} } =125^{2-(\frac{4}{3}) }[/tex]

       [tex]=125^{\frac{2}{3} }[/tex]

 [tex]125=5x^{3}[/tex]

[tex](5^{3} )^{\frac{2}{3}} =5\frac{6}{3} =5^{2} =25[/tex]

Therefore, The answer is 25.

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The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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Answer:

There for the interest on 2500 will be 93

Step-by-step explanation:

A = 2500(1+0.675/365)^0.055

A = 2500(1.0018)^0.055

A = 2500(1.037)

A = 2592.5

To find how much interest on 2500 = 2593-2500 = 93

Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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Answer:

Answer is a

Step-by-step explanation:

it is the only answer that makes sense

Answer:

64°

Step-by-step explanation:

This is a question on angle properties.

Angle y + 37 + 79 = 180 (Sum of angles in a triangle)

Angle y + 116 = 180

Angle y = 180 - 116 = 64°

Answer:

54

Step-by-step explanation:

The height of the triangle is 11.3 in. The correct option is C. 11.3 in

From the question, we are to determine the height of the given triangle

The height of the given triangle is x in.

Now, we will determine the value of x

In the diagram, we can observe that the height divides the triangle into two equal halves

Thus,

By the Pythagorean theorem, we can write that

12² = x² + 4²

144 = x² + 16

144 - 16 = x²

∴ x² = 144 - 16

x² = 128

x = √128

x = 11.3

Hence, the height of the triangle is 11.3 in. The correct option is C. 11.3 in

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