What is the slope of a line that is perpendicular to the line y = x + 5?

Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

the second one thxxx for the points

The inequality that describes the base length of the triangle is b ≤ 28/h

From the question, we have the following parameters that can be used in our computation:

The area of a triangle can be calculated using the following formula

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * b * h

Evaluate the products

Area = 1/2bh

Recall that

Area = At most 14 square feet

This means that

Area ≤ 14

So, we have

1/2bh ≤ 14

Multiply through by 2

bh ≤ 28

Divide both sides by h

b ≤ 28/h

Hence, the inequality is b ≤ 28/h

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The total monthly revenue when 200 units were sold is $28800 and the monthly revenue when 800 units were sold is $52800.

Given,

 The equation for monthly revenue, \(R(x)= 170x - 0.13x^{2}\)      \((0 < x < 800)\)

      where \(x\) is the number of units sold

(a)  Total number of units sold, \(x = 200\)

                Monthly revenue, \(R(200)= 170x- 0.13x^{2}\)

                                                           \(= 170*200 - 0.13*200^{2}\)

                                                           \(= 34000 - 0.13* 40000\)

                                                           \(= 34000 - 5200\)

                                                           \(= 28800\)

         Hence , monthly revenue = $28800

(b)   Total number of units sold, \(x = 800\)

                    Monthly revenue, \(R(800)= 170x- 0.13x^{2}\)

                                                               \(= 170*800 - 0.13*800^{2}\)

                                                               \(= 136000 - 0.13*640000\)

                                                               \(= 136000- 83200\)

                                                               \(= 52800\)

         Hence , monthly revenue = $52800

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

the answer is a

Step-by-step explanation:

Answer:

Option B, There is no correlation between the last digit of phone number and the quiz grade.  

Step-by-step explanation:

The values on the scatter plot are dispersed and hence no best fit curve can be drawn for this data set.

Hence there is no relation between the two variables that is last digit of phone number and the quiz grade.  

Answer:

Yeah what he said

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3p²q+pq²=3×1/4×4+1/2×16=3+8=11

Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Answer:

10.5/12

Step-by-step explanation:

Thats my guess from my math

Answer:

5 1/2

Step-by-step explanation:

1112÷16

Applying the fractions formula for division,

=11×6/12×1

=66/12

Simplifying 66/12, the answer is

=512

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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Answer:

15

Step-by-step explanation:

4/5 = 12/blank.

well 12/4 is 3

3 * 5 is 15.

the blank is 15

Answer:

12/15

Step-by-step explanation:

4/5x3/3=12/15

since 12 is 3 times greater than 4, you must multiply both the numerator and the denominator by 3.

To estimate 56.75 - 46.9:

To solve this,

First step: Add zero to 46.90 to make it 2 decimal places

Second step: Start your subtraction from the right hand side

ANSWER:

9.85

The value of the quotient expression given as negative 7.3 divided by one half is -14.6

The quotient expression is given as:

negative 7.3 divided by one half

Rewrite the above expression properly, as follows:

-7.3/0.5

Evaluate the quotient

-14.6

Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6

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Answer:

-14.6

Step-by-step explanation:

Treat the one half as a fraction.

Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.

-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6

Answer:

$91 per ounce

Step-by-step explanation:

If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable \(x\) for ounces. Then, we have the equation

\(3x=273\).

Dividing both sides by 3, we have

\(x=91\).

The cost of one ounce is $91.

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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Answer:

Its b i bealive

Step-by-step explanation:

Answer:

60.72

Step-by-step explanation:

Simply if you can, use a calculator and do one of two things. First off, the easier way, you can do 92% of 66, which is 60.72, the more difficult way is to find 8% of 66 which is 5.28, and then subtract 66 by 5.28 which is 60.72. Hope this helps

!

Answer: 548654, 550654, 995841, 1256441, 1485554, 1547521, and 1547656

Hope this helps

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

32 days

Step-by-step explanation:

make a rate time distance chart:

                   r             t         d

first 5         | y  |     5        | 5y

final days | y+6 | x-6        | (y+6)(x-6)

take y for planned rate and x for time till test

then make system of equations:

1. 5y+(y+6)(x-6) = 844

2. 768/y =x

/Henrietta knew the time till test, so we can assume that she planned in such a way that would mean she learned exactly 768 spells if she worked at the set rate. On this assumption we make 2

solve, and you get 2 options: x=-10/3 y =-144 (exclude, negative)

the second one is x=24 y=32 that works for us, so answer is she planned to learn 32 spells each day.

The number of magic Henrietta planned to learn each day is 32

Represent the number of magic learned each day in the first 5 days with x, and the total days with y.

So, the total number of magic learned in this time frame is:

Total = 5x

In the remaining days (i.e y - 5), she learned 6 more each day

i.e. x + 6

So, the total number of magic learned in this remaining days is:

Total = (x + 6)(y - 5)

So, we have the following system of equations:

\(5y+(x+6)(y-5) = 844\)

\(xy = 768\)

Using a graphing calculator, we have:

(x,y) = (32, 24)

Hence, the number of magic she planned to learn each day is 32

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The standard form of the equation of the parabola is  \(y=-(\frac{x^2-12x+36}{24})\)

The general form of a parabola is  (x-h)=4p(y-k)

Where, (h,k) is vertex, (h,k+p) is the focus, and y=k-p is directrix.

The focus of the parabola is (6,6).

comparing the values with (h,k+p)=(6,6)

h=6

k+p=-6.... (1)

Directrix of the parabola is

k-p=-6.... (2)

On adding (1) and (2) we get

2k=0

k=0

Put this value in equation (1).

0+p=-6

The value of p= -6.

Substituent h=6,k=0, and p=-6 in the general form of a parabola, we get

(x-h)^2=4p(y-k)

(x-6)^2=4(-6)(y-0)

x^2-12x+36=-24y

Divide both sides by 24.

y=(x^2-12x+36/24)

Therefore the standard form of the equation of the parabola is

y=-(x^2-12x+36/24)

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The values of x and y are 8 and 10, respectively

The list of the numbers is given as:

4, 7, x, y, 11

The mean and median of the five numbers are the same.

The median is the middle number.

So, we have

Median = x

This means that

Mean = Median = x

The mean is calculated as:

Mean = Sum/Count

This gives

(4+ 7+ x+ y+ 11)/5 = x

Evaluate the sum

(22 + x + y)/5 = x

This gives

22 + x + y = 5x

Evaluate the like terms

4x = 22 + y

Based on the order of the list, we have:

7 < x < y < 11

Assume y = 10

4x = 22 + 10

This gives

x = 32/4

x = 8

Recall that:

7 < x < y < 11

This means that

7 < 8 < 10 < 11

The above is true

Hence, the values of x and y are 8 and 10, respectively

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Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

The scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable is called interaction. The correct answer is C.

Interaction refers to the scenario in which the relationship between the dependent variable and one independent variable is different at different values of a second independent variable. In other words, interaction occurs when the effect of one independent variable on the dependent variable depends on the level of another independent variable.

This can be represented in an interaction plot, where the lines representing the relationship between the dependent variable and one independent variable have different slopes at different levels of the second independent variable.

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