29,58,116,... find the 71st term

Answer:

You can solve this problem using substitution.

c = 5c ÷ (b-a)

c = 5c ÷ (3-2)

c = 5c ÷ (1)

c = 5c

c = 0

There is no way that 5 of something can equal 1 of something.

The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.

It is given that the value of p and q is a prime number, and p<q.

But it is also given that the value of both should be less than 18 as well as a prime number.

Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.

And it is also given that p<q.

Now we have to find the value of p + q which is odd but not a prime number.

To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.

So

p + q = 2 + 5 = 7, which is odd but it is prime

Now again, q = 7

p + q = 2 + 7 = 9 , which is odd as well as not prime.

Again take q = 11

p + q = 2 + 11 = 13, which is odd but prime

Now take q = 13

p + q =  2 + 13 = 15, which is odd as well as not prime.

Now take q = 17

p + q = 2 + 17 = 19, which is odd and prime.

Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.

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Answer:

C

Step-by-step explanation:

Answer:

5 x 5 is 25

Step-by-step explanation:

step by step explanation

Answer:

answer is 5x = 25

Step-by-step explanation:

easy stuff

Answer:

x=-2, y=3. (-2, 3).

Step-by-step explanation:

x-4y=-14

x+5y=13

--------------

-x+4y=14

x+5y=13

----------------

9y=27

y=27/9

y=3

x+5(3)=13

x+15=13

x=13-15

x=-2

Answer:

a. 19 b. -53

Step-by-step explanation:

I did it mentally, but you plug those x values into the equation.

It will take her less than 10 minutes to get to school if she goes at a speed of 40 miles per hour.

To find the time it will take Heidi to get to school at a speed of 40 miles per hour, we can use the formula:

Time = Distance / Speed

Let's assume the distance to school remains the same. We'll calculate the time using both speeds:

Speed = 27 miles per hour:

Time = Distance / Speed = Distance / 27 miles per hour = 10 minutes

Speed = 40 miles per hour:

Time = Distance / Speed = Distance / 40 miles per hour

Since we don't have the actual distance, we can't calculate the exact time. However, we know that the time will be less than 10 minutes because Heidi is traveling at a faster speed. So, it will take her less than 10 minutes to get to school if she goes at a speed of 40 miles per hour.

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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

Step-by-step explanation:

As per graph, using the points (-6, 0) and (0, 3) we determine that:

So the equation is:

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

Answer:

8 4/5

Step-by-step explanation:

it is simple

8*5=40 and 4 left over = 8 4/5

Answer:

8 and 4/5 i wanna say

Step-by-step explanation:

so 5 goes into 40 8 times with 4 remaining so i wanna say 8 4/5 mark me as brainlest please have a nice day

The area of Mary's rectangular garden in her backyard is 40 1/8 square feet.

To determine the area of the rectangular garden, the length and width measurements must be multiplied, according to the question.A rectangular garden is one that has four corners, each of which forms a right angle. The width and length of a rectangular garden are typically stated in feet or meters.

The formula for finding the area of a rectangular garden is simply A = LW.  A represents the area, L represents the length of the garden, and W represents the width of the garden.The solution for this question will be derived using the formula A = LW, where the length is 7 1/2 feet, and the width is 5 3/4 feet.

A = LW  =  (7 1/2 feet) * (5 3/4 feet)  =  (15/2) * (23/4) = 345/8 ft^2  =  43 1/8 ft^2. Thus, the area of Mary's rectangular garden in her backyard is 40 1/8 square feet.

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Answer:  46 (choice B)

Explanation:

Segment BD is an altitude of the triangle, which means BD is perpendicular to AC. It indicates angle BDC is 90 degrees.

BDC = 90

5x-45 = 90

5x = 90+45

5x = 135

x = 135/5

x = 27

Use this value to find the other missing angle

angle BCD = x+19 = 27+19 = 46

Step-by-step explanation:

just slow down and think straight.

since BD is the height or altitude, it stands at a right angle on the baseline.

so, just as that we know

90 = 5x - 45

5x = 135

x = 27

for that reason

x + 19 = 27 + 19 = 46 degrees

Answer:

3^-9

Step-by-step explanation:

3^-4 • 3^-5

We know that a^b * a^c = a^(b+c)

3^-4 • 3^-5 = 3^(-4-5) = 3^ -9

Given data:

The coach of a soccer team is ordering trophies for the players.

They can choose between 2 types of trophies.

The cost of gold soccer trophies =$6.99.

The cost of silver trophies = $5.99.

let the g be the number of gold trophies and let s be the no. of silver trophies.

let the total amount that coach pays for all the trophies. be x.

The expression that represnts the total amount is

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age of the automobile. A researcher is interested in finding out whether the variance of the annual repair costs also increases with the age of the automobile. A sample of 26 automobiles 4 years old showed a sample standard deviation for annual repair costs of $120 and a sample of 23 automobiles 2 years old showed a sample standard deviation for annual repair costs of $100. Let 4 year old automobiles be represented by population 1.

State the null and alternative versions of the research hypothesis that the variance in annual repair costs is larger for the older automobiles.

At a 0.01 level of significance, what is your conclusion? What is the p-value?

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.44

p-value = 0.1954

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

Step-by-step explanation:

Let σ₁² denotes the variance of 4 years old automobiles

Let σ₂² denotes the variance of 2 years old automobiles

State the null and alternative hypotheses:

The null hypothesis assumes that the variance in annual repair costs is smaller for older automobiles.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance in annual repair costs is larger for older automobiles.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic is given by

Test statistic = σ₁²/σ₂²

Test statistic = 120²/100²

Test statistic = 1.44

p-value:

The degree of freedom corresponding to 4 years old automobiles is given by

df₁ = n - 1  

df₁ = 26 - 1  

df₁ = 25

The degree of freedom corresponding to 2 years old automobiles is given by

df₂ = n - 1  

df₂ = 23 - 1  

df₂ = 22

Using Excel to find out the p-value,  

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.44, 25, 22)

p-value = 0.1954

Conclusion:

When the p-value is less than the significance level then we reject the Null hypotheses

p-value < α   (reject H₀)

But for the given case,

p-value > α

0.1954 > 0.01

Since the p-value is greater than the given significance level therefore, we cannot reject the null hypothesis.

We can conclude that there is no sufficient evidence to support the claim that the variance in annual repair costs is larger for older automobiles.

Answer:

Answer 1.25

Step-by-step explanation:

Tolal moths he take to read 8 book = 10

Therefore, Total month he will take to read 1 book =10/8=1.25

Answer:

x = 10

Step-by-step explanation:

2x + 5 = 25

-5

2x = 20

/2

x = 10

Answer:

10. please mark as brainliest

Step-by-step explanation:

\(2x = 25 - 5 \\ x = 20 \div 2 \\ x = 10\)

Answer:

150 students

Step-by-step explanation:

60% = 0.6

x + 0.6x = 240

1.6x = 240

x = 240/1.6

x = 150

To find the average rate of change of a function from x1 to x2, you need to calculate the difference in the function's values at x1 and x2, and divide it by the difference in the x-values. The formula for average rate of change is (f(x2) - f(x1)) / (x2 - x1).

The average rate of change measures the average rate at which a function is changing over a given interval. To calculate it, you subtract the function's values at the starting point (x1) and ending point (x2), and then divide it by the difference in the x-values. This gives you the average rate of change for the interval from x1 to x2.

Example: Let's say we have a function f(x) = 2x + 3. To find the average rate of change from x1 = 1 to x2 = 4, we substitute these values into the formula: (f(4) - f(1)) / (4 - 1). Simplifying, we get (11 - 5) / 3 = 6 / 3 = 2. Therefore, the average rate of change of the function from x1 = 1 to x2 = 4 is 2.

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The equations

\(x = r*\cos(\theta)\\\\y = r*\sin(\theta)\)

are useful to convert from polar to Cartesian

So,

\(x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r\)

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

Quadratic equations are all those equations that can be reformulated in a standard format (αx² + bx + c(=0) where the value of x is unknown and the values of the coefficients (a, b and c) are unknown.

These equations can always be solved using the quadratic formula, although sometimes it is also possible to use factorization or isolation of variables.

Expand squared

It is distributed

Combine like terms.

Move terms to the left

Subtract the numbers

Use the quadratic formula.

                        \(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} \end{gathered}$}\)

In standard form we identify "a", "b" and "c" from the original equation and add to the quadratic formula.

                      \(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-(-14)\pm\sqrt{(-14)^{2}-4\cdot1\cdot41 } }{2\cdot1} \end{gathered}$}\)

Simplify

                                         \(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14\pm4\sqrt{2} }{2} \end{gathered}$}\)

Separate equations

To solve for the unknown variants, we split the equation into two: one with a plus sign and the other with a minus sign.

                                       \(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14+4\sqrt{2} }{2} \end{gathered}$}\)

                                       \(\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14-4\sqrt{2} }{2} \end{gathered}$}\)

Solve

Order and isolate the variant to find each solution.

                                            \(\large\displaystyle\text{$\begin{gathered}\sf x=7+2\sqrt{2} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x=7-2\sqrt{2} \end{gathered}$}\)

                            \(\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\blue{Answer \ \ \longmapsto \ \ x=7\pm2\sqrt{2} }} \end{gathered}$}}}\)

Each of the pairs of opposite angles made by two intersecting lines are called vertical angles. The correct option is B.

Each of the pairs of opposite angles made by two intersecting lines are called vertical angles.

Given the statement P: Angles XYZ and RST are vertical angles, and q: Angles XYZ and RST are congruent.

Now, the statement that is logically equivalent to p → q is that If angles XYZ and RST are not vertical angles, then they are not congruent.

Hence, the correct option is B.

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She will need to purchase 3 boxes of gloves.

He exceeded his goal by 10 devices.

There are 28 phalange bones in each foot.

There will be 2 smoothies left in stock after 4 days from one case.

Frank needs to consume no more than 15 grams of fat for the rest of the day.

Since there are 100 gloves in each box, she will need 222/100 = 2.22 boxes of gloves. Since she cannot purchase a partial box, she will need to purchase 3 boxes of gloves.

The medical sales rep sold devices for a total of 17 x 30 = 510 devices in November. Since his goal was to sell 500 devices, he exceeded his goal by 510 - 500 = 10 devices.

Since there are 56 phalange bones in the body and 14 phalange bones in each hand, there are 56 - (14 x 2) = <<56-(14*2)= 28 phalange bones in each foot.

Frank needs to consume no more than 56 - 41 = 15 grams of fat for the rest of the day.

The rec center sells 12 smoothies per day for 4 days, for a total of 12 x 4 = 48 smoothies. Therefore, there will be 50 - 48 = 2 smoothies left in stock after 4 days from one case.

Since Ashton drank a 24 oz bottle of water, he still needs to drink 64 - 24 = 40 ounces of water for the rest of the day.

Kathy walks a total of 3 x 2.5 =7.5 miles with her friend each week. Therefore, she still needs to walk 10 - 7.5 = 2.5 more miles to meet her goal for the week.

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Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

Answer:

16.85

Step-by-step explanation:

This answer is if the question asks, "Use this model to predict the success rate of putts from 5 meters".  When you create your equation, 84.05-13.44(x), plug 5 into x and you get 16.85.

Answer:

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons.

Step-by-step explanation:

Observe that the area of the unshaded region is equal to the area of the shaded region subtracted from the area of the rectangle, i.e. . ar(Unshaded) = ar(ABCD) – ar(Shaded).

please give me brainlist!

The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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