a+2a+7+4a-8Can someone please help me answer this question?

Answer:

B.

Step-by-step explanation:

BC and YZ are the two angles at the end of both equations, and will always line up in the triangle.

(hope this helps!)

Given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. \(\mathbf{\overline{BC} \cong \overline{YZ}}\)

Recall:

Thus, given that triangle ABC and triangle XYZ are congruent to each other, it means that:

<A is congruent to <X

<B is congruent to <Y

<C is congruent to <Z

AB is congruent to XY

BC is congruent to YZ

AC is congruent to XZ

Therefore, given that triangle ABC is congruent to triangle XYZ, the statement from the given options that is always true is:

B. \(\mathbf{\overline{BC} \cong \overline{YZ}}\)

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Answer

Model:

Equation:

Solution:

Step-by-step explanation

The problem presents 3 variables:

• number of miles Julie jogs per time

• number of times she jogs per day

• total number of miles she jogs per day

The model that relates these variables is:

She jogs 3/4 miles at a time and she jogs a total of 6 miles per day. Calling x to the unknown number of times she jogs per day, we get:

She jogs 8 times per day.

Answer:

0.006786

Step-by-step explanation:

(-0.39)(-0.06)= 0.0234

0.0234(0.29)=0.006786

Given:

Given a line a and b are parallel.

Required:

To choose the reason for the statement " < 6 is congruent to < 8.

Explanation:

The vertical angle is either of two angles lying on opposite sides of two intersecting lines.

Here < 6 and < 8 are vertical angle.

Therefore the correct option is

Vertical angles are congruent.

Final Answer:

The option C is correct.

Vertical angles are congruent.

The exponential function that models the growth of the bacteria population is:

y = 113(1 + 0.82)^x
there will be approximately 2,986 bacteria cells after 7 days.

The exponential function that models the growth of the bacteria population is:

y = 113(1 + 0.82)^x

where:
- y is the number of bacteria after x days
- 113 is the initial number of bacteria
- 0.82 is the growth rate expressed as a decimal (82% = 0.82)

To find the number of bacteria after 7 days, we substitute x = 7 in the equation:

y = 113(1 + 0.82)^7
y = 113(1.82)^7
y ≈ 2,986.63

Therefore, there will be approximately 2,986 bacteria cells after 7 days.
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The main answer is that the tire on the outside of the turn travels approximately 32.0 ft farther than a tire on the inside in one rotation (Option A).


1. Calculate the circumference of the circular path traveled by both tires:
- Inside tire radius = 22.4 ft (given turning radius)
- Inside tire circumference = 2 * pi * 22.4 ft
- Outside tire radius = 22.4 ft + 5.1 ft (distance between tires)
- Outside tire circumference = 2 * pi * (22.4 + 5.1) ft
2. Find the difference in distance traveled by the two tires in one rotation:
- Difference in distance = Outside tire circumference - Inside tire circumference

Summary:
Using the given information, we determined that the tire on the outside of the turn travels approximately 32.0 ft farther than a tire on the inside in one rotation. The correct answer is Option A, 32.0 ft.

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The number of triangles that can be formed using 14 points in a plane such that 4 points are collinear is 360.

If 4 points are collinear, then we can choose any 3 of those points to form a line segment, which cannot be extended to form a triangle.

we need to choose 3 points from the 14 points such that no 3 of them are collinear.

The number of triangles that can be formed from n non-collinear points in a plane is given by the formula:

                  C(n,3) = n(n-1)(n-2)/6

where C(n,3) is the binomial coefficient for choosing 3 items out of n.

So, to find the number of triangles that can be formed using 14 points in a plane such that 4 points are collinear,

we first need to find the number of ways to choose 3 points from 14 points, and then subtract the number of ways to choose 3 points from the 4 collinear points.

That is:

Total number of triangles = C(14,3) - C(4,3)

Total number of triangles = 364 - 4

Total number of triangles  = 360

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Answer:500 cm

Step-by-step explanation:

Given

height of ethan = 180 cm

length of shadow =144 cm

Distance of ethan from lamp =256 cm

from diagram, we can write

\(\Rightarrow tan \theta =\frac{FC}{EC}\quad \ldots(i)\)

\(\Rightarrow \tan \theta =\frac{AB}{BE}\quad \ldots (ii)\)

From (i)  and (ii)  we get

\(\tan \theta =\frac{FC}{EC}=\frac{AB}{BE}\)

\(\Rightarrow \frac{180}{144}=\frac{h}{144+256}\)

\(\Rightarrow h=\frac{180}{144}\times 400\)

\(\Rightarrow h=500\ cm\)

So, height of lamp post AB is \(500\ cm\)

Answer:

Step-by-step explanation:

I just took the test and I got it right but if you don't I'm so sorry :<

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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No, Barbara does not have enough money.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Using the words here, we can create the expression 20d+7 where d is the number of days.

We can now substitute 15 in as d, to see how much this will cost.

20*15+7

=300+7 = 307

So the total cost will be $307.

Since $307 is more than $250, she does not have enough money.

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Question:

Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is $7 for as long as Susan needs the bike. Barbara has $250 to rent a bike for 15 days. Does Barbara have enough money? Explain. First answer gets Brainiest and 48 points hurry please tho

Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

The ratio which compares to be a whole is:

2/9

Given,

Kenny has 2 red marbles and 4 black marbles.

we are asked to determine the ratio which compares a part to whole.

Based on the given conditions, formulate:

2 ÷ (4+2+3)

Calculate the sum

2/6+3

calculate the sum:

2/9

hence ratio is:

2/9

Hence we get the ratio as 2/9.

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a) The perimeter of the figure is given as follows: 44 ft.

b) The area of the figure is given as follows: 24 ft².

The perimeter of the figure is obtained as the sum of the outer side lengths of the figure.

The side lengths are given as follows:

Hence the perimeter is of:

P = 2 x (16 + 6)

P = 44 ft.

The area of the figure is given as half the multiplication of the base of 16 ft by the height of 3 ft, hence:

A = 0.5 x 16 x 3

A = 24 ft².

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Answer:

NOT B, C or E

Step-by-step explanation:

I couldn't see the numbers on the graph bc they were blurry and small, but I can tell you that the answer is not any of the tables or the word problem on the bottom.

Answer:

No, the correct answer is -4

Step-by-step explanation:

-2 x (5 - 3)

(5 - 3)= 2

-2 x 2= -4

-4

Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

From the question,

The expression Chase simplified is–2 ×­ (5 – 3).

First, we will simplify this expression properly and then check if Chase is correct or not.

To simplify the expression –2 ×­ (5 – 3)

First, we will evaluate the expression in the bracket

The expression in the bracket is 5 - 3

5 -3 = 2

Therefore, the expression –2 ×­ (5 – 3) becomes

–2 ×­ (2) = –2 ×­ 2

Now, we will complete the simplification by evaluating –2 ×­ 2

–2 ×­ 2 = -4

∴ Simplifying the expression –2 ×­ (5 – 3) gives -4

Now, to determine if Chase is correct or not, we will compare answers.

Since Chase found –2 ×­ 2 = 4, Chase is not correct because –2 ×­ 2 = –4. He did not add the negative sign.

Hence, Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

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Answer:

85 points per minute

Step-by-step explanation:

the points earned per minute is calculated as

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₂, y₂) = (200, 17007) and (x₁, y₁ ) = (100,8507) ← 2 ordered pairs from table

points earned per minute = \(\frac{17007-8507}{200-100}\) = \(\frac{8500}{100}\) = 85

Answer:

A

Step-by-step explanation:

1322.14 / 104.51 = 12.65

1:12.65

Answer:

Step-by-step explanation:

(0,4)

parallel; 1/2

y - 4 = 1/2(x - 0)

y - 4 = 1/2x - 0

y = 1/2x + 4

The probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, is 1 in 6,497,400.

The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the contest with 52 entrants and no one winning more than one prize can be calculated as follows:
1. Probability of Bo winning the first prize: 1/52 (since there are 52 people, and Bo is one of them)
2. Probability of Colleen winning the second prize after Bo has won the first prize: 1/51 (since there are now 51 people left)
3. Probability of Jeff winning the third prize after Bo and Colleen have won: 1/50 (50 people remaining)
4. Probability of Rohini winning the fourth prize after Bo, Colleen, and Jeff have won: 1/49 (49 people left)
To find the overall probability, multiply all individual probabilities together:
(1/52) x (1/51) x (1/50) x (1/49) = 1/6,497,400

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The probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in the drawing is approximately 1.0625 × 10^-9.

To find the probability of Bo, Colleen, Jeff, and Rohini winning the first, second, third, and fourth prizes, respectively, follow these steps:
Calculate the total number of ways to choose 4 winners from 52 people (order matters, since the prizes are distinct). This is a permutation, so use the formula nPr = n! / (n - r)!,

where n = 52 (total number of people) and r = 4 (total number of prizes). In this case, 52P4 = 52! / (52 - 4)! = 52! / 48!.
Calculate the probability of Bo winning the first prize:

There is 1 favorable outcome (Bo winning) out of 52 possible outcomes, so the probability is 1/52.
Calculate the probability of Colleen winning the second prize, given that Bo has already won:

There is 1 favorable outcome (Colleen winning) out of the remaining 51 possible outcomes, so the probability is 1/51.
Calculate the probability of Jeff winning the third prize, given that Bo and Colleen have already won:

There is 1 favorable outcome (Jeff winning) out of the remaining 50 possible outcomes, so the probability is 1/50.
Calculate the probability of Rohini winning the fourth prize, given that Bo, Colleen, and Jeff have already won: There is 1 favorable outcome (Rohini winning) out of the remaining 49 possible outcomes, so the probability is 1/49.
To find the overall probability of this specific order of winners (Bo, Colleen, Jeff, Rohini), multiply the individual probabilities: \((1/52) × (1/51) × (1/50) × (1/49) ≈ 1.0625 × 10^-9.\).

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The expected value of the sum of n dice is E[X] = 3.5n.

Indicator random variables are a probability theory tool. They are used to help evaluate probabilities for a given random variable.
Let X be the total number that results from n throws of a fair six-sided die.

By linearity of expectation,E[X] = E[X1 + X2 + ... + Xn] = E[X1] + E[X2] + ... + E[Xn]

Where Xj is the number obtained on the jth die roll.

Each Xi is a discrete random variable with a uniform distribution on the set {1, 2, 3, 4, 5, 6}.

To evaluate E[Xi], we define an indicator random variable Yi as follows: Yi = 1 if Xi = i and Yi = 0 otherwise.

Then, Xi = 1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6.

Thus,E[Xi] = E[1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6] = E[1Y1] + E[2Y2] + ... + E[6Y6] = 1P(Xi = 1) + 2P(Xi = 2) + ... + 6P(Xi = 6) = (1 + 2 + ... + 6) / 6 = 3.5.

Therefore, E[X] = E[X1] + E[X2] + ... + E[Xn] = 3.5n.

Thus, we have computed the expected value of the sum of n dice using indicator random variables. The expected value of the sum of n dice is E[X] = 3.5n.

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The equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

According to the question,

We have the following information:

The line passes through the point (18,-3) with slope -1.

We know that the following formula is used to find the equation of the line passing through a point with the slope which is denoted by m:

(y-y') = m(x-x')

In this case, we have the following values:

m = -1

x' = 18 and y' = -3

Putting these values in the above formula:

y-(-3) = -1(x-18)

y+3 = -x+18

Subtracting 3 from both sides of the equation:

y = -x+18-3

y = -x+15

Hence, the equation of the line that passes through the point (18,-3) with slope -1 is y = -x+15.

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Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

Answer: 3

Step-by-step explanation: Combine Like Terms:

=8x+4y+7+22y

=(8x)+(4y+22y)+(7)

=8x+26y+7    

Answer:

7 is the term

Step-by-step explanation:

the 7 is the term

because 22y is a coeifcent and a var and the rest of the equation is a coeifcent and a var. Besides 7 so 7 is the term

The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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Cubic inches of popcorn does the jumbo size hold compared to the regular size round to the nearest tenth

To determine how many more cubic inches of popcorn the jumbo size holds compared to the regular size, you would need to:

1. Find the volume (in cubic inches) of both the jumbo and regular size popcorn containers.
2. Subtract the volume of the regular size container from the volume of the jumbo size container.

Unfortunately, without specific dimensions for the jumbo and regular size popcorn containers, I cannot provide a numerical answer. Please provide the dimensions, and I would be happy to help you with the calculations.

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The value are m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

To simplify \sqrt[4]{400}, we can rewrite it as \sqrt[4]{16 \cdot 25}. This is because 400 can be factored into 16 \cdot 25. Taking the fourth root of each factor separately, we have \sqrt[4]{16} \cdot \sqrt[4]{25}.

\sqrt[4]{16} simplifies to 2, since2^4 = 16. \sqrt[4]{25} does not simplify further since there are no perfect fourth powers that can be multiplied together to give 25.

Therefore, the simplified form of \sqrt[4]{400} is 2\sqrt{25}. We can rewrite \sqrt{25} as 5, so the final simplified form is 2 \cdot 5.

Thus, the value of m = 2 and n = 5, and mn = 2 \cdot 5 = 10.

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Answer:

2m - 3

Step-by-step explanation:

she ran 3 miles less than twice as far as Jim