What is the point and the slope in the equation y-3=7(x+5)

a. The perimeter of the first triangle is and the perimeter of the second triangle is

b. The difference between the perimeters is

c The perimeter of the triangles when x is 3 are

Perimeter is a math concept that measures the total length around the outside of a shape.

The perimeter of a triangle = a+b+c

1. 4x+2 + 7x+7 + x+3

= 4x+7x+ x +2+7+3

= 12x +12

Perimeter of the second triangle

= 2x-5+x+7+5x-4

= 2x+5x+x-5+7-4

= 8x-2

2. The difference of the perimeters

= 12x+12 -( 8x-2)

= 12x-8x +12+2

= 4x +14

3. when x is 3

The perimeter of the first triangle

= 12(3) +12

= 36+12

= 48 units

The perimeter of the second triangle

= 8(3)- 2

= 22 units

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Answer:

  (d)  7.9 ft

Step-by-step explanation:

The geometry of the problem can be represented by a right triangle whose hypotenuse is the ramp, and the side opposite the given angle is 3 feet. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Solving for Hypotenuse, we find ...

  Hypotenuse = Opposite/Sin

  ramp length = (3 ft)/sin(22.3°) ≈ 7.9 ft

The ramp is about 7.9 feet long.

Answer:

First option,   \(\frac{-2y+5x}{3x-2y}\)

Step-by-step explanation:

Simplify the fraction. To make the process of solving easier, we can multiply both the numerator and denominator by x and y to get rid of the fractions as seen below. This is because the variables in the denominators of the fractions will cancel out with either the matching x or y in the numerators.  

\(\frac{\frac{-2}{x} +\frac{5}{y} }{\frac{3}{y}-\frac{2}{x} } \\=\frac{(\frac{-2}{x} +\frac{5}{y})xy }{(\frac{3}{y}-\frac{2}{x})xy }\\=\frac{-2y+5x}{3x-2y}\)

Thus, the first option is correct.

Answer:

6(4a+1)

Step-by-step explanation:

You distrubute 6 to both 4a and 1

4a(6) is 24a, and 6(1) is 6

The value of the diameter of the cone part of the funnel to the nearest tenth is,

⇒ d = 7.2 cm

We have to given that;

A funnel can hold 159π cm³ of fluid.

And, Its height (without the stem) is 12 cm.

Now, We know that;

Volume of cone = πr²h/3

Where, r is radius of cone.

Hence we get;

⇒ 159 = 3.14 × r² × 12 / 3

⇒ 159 = 12.56 r²

⇒ r² = 12.65

⇒ r = √12.65

⇒ r = 3.556

⇒ r = 3.6 cm

Thus, The value of the diameter of the cone part of the funnel to the nearest tenth is,

⇒ d = 2r

⇒ d = 2 x 3.6

⇒ d = 7.2 cm

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The sampling technique being used in this scenario is called "Cluster Sampling."

In cluster sampling, the population is first divided into smaller groups (also known as clusters), and then a random sample of these clusters is selected. In this case, the city's zip codes are the clusters, and all voters from the selected zip codes are included in the sample.

In the scenario you described, the population of voters in the city is divided into groups based on their zip codes, and then a random sample of zip codes is selected. All the voters within the selected zip codes are included in the sample. This method allows for a representative sample of the population to be obtained, as each cluster (zip code) is assumed to have a similar distribution of characteristics as the population.

It's important to note that the sample size in cluster sampling is often larger than in other sampling methods, as all the individuals within the selected clusters are included in the sample. This may lead to increased costs and a longer data collection time. However, the advantage of cluster sampling is that it can be less expensive and more efficient than other methods when the population is large and dispersed.

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Answer:

67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

16.08*100/24 is the formula

First we must solve for x:

Now, since x=-9, we just have to find the value of x-7:

Therefore, x-7=-16

the person ontop is wrong its a and e

Step-by-step explanation:

:)

The upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds is 1/4 or 0.25.

To answer the question, we will use the Chebyshev inequality to determine an upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds.

The Chebyshev inequality states that for any random variable W with expected value E[W] and standard deviation σ_W, the probability that W deviates from E[W] by at least k standard deviations is no more than 1/k^2.

In this case, E[W] = 650 pounds and σ_W = 100 pounds. We want to find the probability that the weight of a bear is at least 200 pounds heavier than the average weight, which means W ≥ 850 pounds.

First, let's calculate the value of k:
850 - 650 = 200
200 / σ_W = 200 / 100 = 2

So k = 2.

Now, we can use the Chebyshev inequality to find the upper bound for the probability:

P(|W - E[W]| ≥ k * σ_W) ≤ 1/k^2

Plugging in our values:

P(|W - 650| ≥ 2 * 100) ≤ 1/2^2
P(|W - 650| ≥ 200) ≤ 1/4

Therefore, the upper bound for the probability that the weight of a randomly chosen Maine black bear is at least 200 pounds heavier than the average weight of 650 pounds is 1/4 or 0.25.

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Using the z-distribution, considering \(\overline{x} = 36, \sigma = 7\), the 95% confidence interval for the mean is (32.67, 39.33).

The confidence interval is:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

We have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The other parameters, researching the problem on the internet, are given as follows:

\(\mu = 36, \sigma = 7, n = 17\).

Hence the bounds of the interval are:

\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 36 - 1.96\frac{7}{\sqrt{17}} = 32.67\)

\(\overline{x} + z\frac{\sigma}{\sqrt{n}} = 36 + 1.96\frac{7}{\sqrt{17}} = 39.33\)

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tha correct answer is c 3/2

Properties used to evaluate the expressions,

Addition is the basic arithmetic operation in maths. In addition, we add the integers. There are few properties of addition to add the given integers.

                                    A + 0 = 0 + A = A

      ⇒  21 ( 36 + 0 + 19 )    =   21 ( 36 + 19 )

                                       A + B = B + A    

       ⇒  21 ( 36 + 19 )   =   21 + ( 19 + 36 )

                               A + ( B + C ) = ( A + B ) + C

       ⇒  21 + ( 19 + 36 )   =   ( 21 + 19 ) + 36

       ⇒  ( 21 + 19 ) + 36   =   40 + 36

                                           A + B = C  

        ⇒  40 + 36   =   76

        ⇒  21 + ( 36 + 0 + 19 )   =   76  

Therefore, 21 ( 36 0 19 ) : 21 (36 19) uses Identity property, 21 (36 19) : 21 (19 36) uses Commutative property, 21 (19 36) : (21 19) 36 uses Associative property and (21 19) 36 : 40 36 76 uses Closure Property.

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Answer:

$11.23

Step-by-step explanation:

To find the unit price divide the price by the product. For example, 12 ounces of juice costs $2.45. You divide $2.45 by 12 ounces. The unit price would be $0.20.

I hope this helped you, if it did more than all the other answers that may be on your question, feel free to give me brainliest, I would really appreciate it.

A 7-pack of tickets to the zoo costs $78.61. Therefore, the unit price of ticket to the zoo $11.23.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that a 7-pack of tickets to the zoo costs $78.61.

To find the unit price;

Cost of one pack of ticket to the zoo = total cost of 7 pack of tickets / number of tickets

Cost of one pack of ticket to the zoo = $78.61 / 7

Cost of one pack of ticket to the zoo = $11.23

Therefore, the unit price of ticket to the zoo $11.23.

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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To find the midpoint between any two points in a plane using only their coordinates, you can use the midpoint formula. The midpoint formula is:

(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.

For example, if we have two points (-2,8) and (4,10)

(x,y) = ((-2 + 4) / 2, (8 + 10) / 2)

(x,y) = (1,9)

The midpoint of the given points (-2,8) and (4,10) is (1,9).

It's worth noting that this formula can be adapted for three-dimensional points, where the midpoint formula would be

((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

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Answer:

(-6d³ +3d² +4d) - (10d³ +7d-2)

Distribute

−6d³ + 3d² + 4d - (10d³ +7d − 2) -

-6d³ +3d² + 4d - 10d³7d +2

Combine like terms

-6d³ +3d² +4d-10d³-7d +2

-16d³ +3d² + 4d - 7d+2

Combine like terms

-16d³ +3d²+4d-7d+2

-16d³ +3d²-3d+2

Solution

-16d³ +3d²-3d+2

Answer:

The units digit of a number is the rightmost digit of the number.

Step-by-step explanation:

the sum of the digits in the unit's place of all numbers formed with the help of 3,4,5,6 taken all at a times is 18+24+30+36=108.

Answer:

His salory before Increse is 17250

Answer: b) 7

Step-by-step explanation:

mean = average of the data

\(mean = \frac{sum of all terms}{total number of terms}\)

\(5 = \frac{5+10+2+1+x}{5}\\ 25 = 18+x\\\\25 - 18 = x\\\\7= x\)

as the test statistic becomes larger, the p-value gets smaller, indicating stronger evidence against the null hypothesis.

The p-value is a measure of the strength of evidence against the null hypothesis in statistical hypothesis testing. It represents the probability of observing a test statistic as extreme as or more extreme than the one obtained, assuming the null hypothesis is true.

In general, a larger test statistic indicates stronger evidence against the null hypothesis, suggesting that the observed data deviates more from what would be expected under the null hypothesis. As a result, the p-value associated with a larger test statistic becomes smaller.

The p-value is calculated based on the test statistic and the null distribution, which represents the distribution of the test statistic under the assumption that the null hypothesis is true. A larger test statistic corresponds to a point further into the tails of the null distribution, where the probability density is lower. Hence, the p-value, which represents the tail probability beyond the observed test statistic, decreases as the test statistic becomes larger.

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Answer: q^3

Step-by-step explanation:

The required expression that is equivalent to the given expression is q³.

Given that,
To determine the expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
\(= \frac{(q^4)^{-3}}{q^{-15}} \\= q^{15 - 12}\\=q^3\)

Thus, the required expression that is equivalent to the given expression is q³.

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Applying the area of the parallelogram formula, it can be concluded that the area is 56 square units.

The area of the parallelogram is the magnitude of the cross-product of the adjacent edges (base and height).

Given information:

A parallelogram is made up of 4 vertices: A(−3, 0), B(−1, 6), C(8, 5), and D(6, −1).

So first we find the adjacent edges as follows:

AB = B - A

     = ( (-1-(-3)) , (6-0) )

     = (2,6)

AD = D - A

     = ((6-(-3)) , (-1-0))

     = (9,-1)

We want to find the area of the parallelogram, we do the following step:

\(AB x AD = \left[\begin{array}{ccc}i&j&k\\2&6&0\\9&-1&0\end{array}\right]\)

               = i(0 - 0) + j(0 - 0) + k(-2 - 54)

               = -56k

The area of the parallelogram = | AB x AD |

                                                  = √(-56)²

                                                  = 56 square unit

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To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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No, Billy will not be able to reach the border before the cops arrive in 9 minutes.

To determine whether Billy can reach the border before the cops arrive, we need to calculate the time it would take him to cover the distance of 1.9 km.

Using the formula speed = distance / time, we can rearrange the formula to solve for time. Rearranging, we have time = distance / speed.

Given that Billy's speed is 13 km/h, we can calculate the time it would take him to cover 1.9 km.

time = 1.9 km / 13 km/h = 0.146 hours

To convert hours to minutes, we multiply by 60:

0.146 hours * 60 minutes/hour = 8.76 minutes

Therefore, it would take Billy approximately 8.76 minutes to reach the border. Since the cops are expected to arrive in 9 minutes, he would not be able to make it before they arrive.

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Answer:

5.820640033

10.52810879

23.05597586

Step-by-step explanation:

For the first one use law of sine

\(\frac{x}{\sin(48)}=\frac{6}{\sin(50)}\\x=5.820640033\)

2.)

Solve for angle ABD

98

Next use law of cosine

x²=8²+5.820640033²-2*8*5.820640033*cos(98)

x=10.52810879

now just find the area

.5*8*5.820640033*sin(98)= 23.05597586

It will take approximately 4.3 years for the account value to reach $36,700 with an 8.75% annual interest rate.

1. Calculate the interest rate per period (year):

8.75%

= 0.0875

2. Calculate the number of periods (years) required to reach the desired total:

(36700-3500)/3500

= 10.2857

3. Calculate the final number of years to the nearest tenth of a year: 10.2857/0.0875

= 117.1429 or 4.3 years

To calculate the time it will take for the account value to reach $36,700, we need to first calculate the interest rate per period. In this case, the interest rate is 8.75% per year. This can be converted to a decimal by dividing 8.75 by 100 to get 0.0875. Next, we need to calculate the number of periods (years) required to reach the desired total. To do this, we subtract the initial account value of $3,500 from the desired account value of $36,700 and then divide this difference by the initial account value of $3,500. This gives us 10.2857. Finally, we need to calculate the final number of years to the nearest tenth of a year, which can be done by dividing 10.2857 by 0.0875. This gives us a result of 117.1429, which is equivalent to 4.3 years.

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