3 sigma n=1 (17n-25)

Answer:

They will meet in 5 hours.

Step-by-step explanation:

This question should ask how long until they meet.

Matt drives at a rate of 40 miles per hour. Matt drives 50 miles before Kylie begins traveling.

So the total distance for Matt is given by:

\(M(t) = 40t + 50\)

Kylie drives at a rate of 50 miles per hour.

When he starts(at position 0), Matt will be already at 50. So Kylie's equation is given by:

\(K(t) = 50t\)

How many hours until they meet?

This is t for which:

\(K(t) = M(t)\)

So

\(50t = 40t + 50\)

\(10t = 50\)

\(t = \frac{50}{10}\)

\(t = 5\)

They will meet in 5 hours.

The values of (i) x A0 (ii) 0. 12 cm N 6 cm K 8 cm M in the figure are  30⁰ anf 10cm respectively

using the trigonometric ratio of sine we have

Sin∅ = 6/12

⇒sin ∅ = 1/2 = sin 30

⇒∅ 30⁰

therefore,

x² =  8²+6²

x² = 64+36

x = √100

x = 10cm

therefore, ∅ = 30⁰ and x =- 10cm

Learn more about trigonometric ratio on https://brainly.com/question/23130410

#SPJ1

Answer:

Option D

Step-by-step explanation:

\(60+45+75=180\)

\(Triangle ~has ~the~ sum ~of ~angle =180\)

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

hope it helps...

have a great day!!

Answer:

D will be your answer!!

Step-by-step explanation:

hope it helps

Answer:

25

Step-by-step explanation:

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

Answer:=2n+2

Step-by-step explanation:

3n+7-n-3=2n+2

Alva nunez total pay for the week in which she presses 310 moldings is

The cost per unit of an item is represented by the unit price.

To determine the unit price of an item, we divide the price of a specific number of units by the number of units.

If she earns $0.95 for every holding she presses this means that the unit price is 0.95

for 310 moldings Alva nunez will earn

= 0.95 * 310

= 294.5

Learn about unit price at:

https://brainly.com/question/14286952

#SPJ1

Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

Learn more about Film cameras here:

https://brainly.com/question/28202909

#SPJ1

Answer:

is number 6

Step-by-step explanation:

the greatest common factor is the largest common factor of those.

The greatest common factor of 18 and 30 is 6.

To find the greatest common factor (GCF) of 18 and 30, we can list their factors and identify the largest factor they have in common.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors between 18 and 30 are 1, 2, 3, and 6.

The largest common factor is 6.

Therefore, the greatest common factor of 18 and 30 is 6.

Learn more about Greatest common Factor here:

https://brainly.com/question/29584814

#SPJ6

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Step-by-step explanation:

-4x+5>-5

    -5   -5

-4x>-10

/-4   /-4

x<2/5

You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.

hope it helps! :3

Answer:

x<5/2

Step-by-step explanation:

Answer:

IQR = 32 - 26 = 6

Step-by-step explanation:

Answer:

the answer is 11

Step-by-step explanation:

I took the algebra nation test

The expression \(10^{t^2+2t-3}\) is equivalent to the expression \((10^{t+3})^{t-1\)

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

Given the expression:

\(10^{t^2+2t-3}\\\\=10^{t^2+3t-t-3}\\\\=10^{[t(t+3)-1(t+3)]}\\\\=10^{(t-1)(t+3)}\)

The expression \(10^{t^2+2t-3}\) is equivalent to the expression \((10^{t+3})^{t-1\)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve for x ~

\(\qquad \sf  \dashrightarrow \: 5x = 3x + 12\)

[ by vertical opposite angle pair ]

\(\qquad \sf  \dashrightarrow \: 5x - 3x = 12\)

\(\qquad \sf  \dashrightarrow \: 2x = 12\)

\(\qquad \sf  \dashrightarrow \: x = 12 \div 2\)

\(\qquad \sf  \dashrightarrow \: x = 6\)

Therefore, the correct choice is D. 6

Answer:

Step-by-step explanation:

a) 1012⁵ can be written as:

1012⁵ = 15¹² + 05¹¹ + 1*5¹º

= 5¹² + 5¹º

= 3125 + 625

= 3750

(b) 101⁵ can be written as:

101⁵ = 15⁴ + 05³ + 1*5²

= 5⁴ + 5²

= 625 + 25

= 650

(c) 1.1⁵ can be written as:

1.1⁵ = 15¹ + 15º

= 5¹ + 5º

= 25 + 5

= 30

(d) 10.21⁵ can be written as:

10.21⁵ = 15² + 05¹ + 25º + 15⁻¹

= 5² + 2*5º + 5⁻¹

= 25 + 10 + 0.2

= 35.2

(e) 210⁵ can be written as:

210⁵ = 25⁴ + 15²

= 2*625 + 25

= 1250 + 25

= 1275

3. x < 3

Explanation:

The inequality represents the greater than ">" or lesser than "<".

∵ The temperature is less than 3 the answer is x < 3.

#SPJ4

The following inequality represents temperatures below 3°F

c. x < 3

A relationship between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. So inequality results from an imbalance. For instance, let's say you want to spend $250 on a new bicycle but only have $225. The fact that you are comparing two non-equal numbers makes it an inequality as well.

When two quantities are equal, the symbol "=" is used, and when they are not equal, the symbol "" is used to denote that. When two values are not equal, the first value may be greater than (>), less than (<), greater than equal to (≥), less than equal to (≤). In light of the example given above, 250 > 225.

Solution:

The less than symbol represented as < is only available in x < 3, it is also available in  x < -3 but we have given that temperature ins 3°F and not -3°F.

Thus the correct answer is c. x < 3

To learn more about inequality visit:

https://brainly.com/question/25275758

#SPJ4

Answer: y1-2/x1-x2

Step-by-step explanation:

The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

learn more about trigonometric substitution: https://brainly.com/question/17199316

#SPJ1

Answer:

value of 6d - c = 46

Step-by-step explanation:

if c = 8 and d = 9

we can put the value of d and c in equation

=》6d - c

=》6×(9) - (8)

=》54 - 8

=》46

The vertex of the absolute value function y = |3x - 9| is at (3, 0).

The actual name is the vertex, and to find the vertex we first need to find the value of x such that the argument of the absolute value part becomes zero, then we need to solve:

3x - 9 = 0

3x = 9

x = 9/3 = 3

x = 3

Now we can evaluate the absolute value function there:

y = |3*3 - 9|

y = 0

The vertex is at (3, 0).

Learn more about absolute value functions at:

https://brainly.com/question/3381225

#SPJ1

the answer is in the image look at the image to see

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P\((\)1 + \(\frac{r}{100}\)\()^{t}\)

=> A = 100 x ( 1 + \(\frac{0.4}{100}\))^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

Answer:

Your answer should be y − 5 = 5.5 ⋅ ( x − 4 )

Step-by-step explanation:

We should already know that your slope is 5.5, given the two points.

I think it might be 12.9

Answer:

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

We can see the x-values of table have a constant change of 1.

Let's show the y-values as series and see if the difference of terms is constant:

Show all as fractions of 3:

Ignoring the denominators, we can see the numerators increase by 10:

This is a common rate of change and hence it is a linear function.

Correct choice is A.