Solve for s in terms of t, u, and v.

u = s – v + t

Answer:

0.1 percent

Step-by-step explanation:

The y-intercept of the function is 50% which represents; (B) the charge of the battery when Ashley left her house

The general format for the equation of a line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, the y-intercept is defined as the point where the graph line crosses the y-axis or the point at which x is zero.

The slope is defined as the ratio of change of the vertical axis with the horizontal axis.

From the given linear graph, we can see that;

The line intersects the y-axis at y = 50. Thus;

y-intercept = 50

Now, the y-axis represent the percentage charge remaining on the phone battery while the x-axis shows that number of hours since Ashley left her house. Thus;

When the number of hours is zero, the percentage charge remaining on the phone battery is 50%

Read more about y-intercept at; https://brainly.com/question/26249361

#SPJ1

Answer:

n=6

Step-by-step explanation:

The solution of the expression are,

⇒ n = 6

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ n + 5n + 7 = 43

Now, We can solve the expression for n as;

⇒ n + 5n + 7 = 43

⇒ 6n + 7 = 43

⇒ 6n + 7 - 7 = 43 - 7

⇒ 6n = 36

⇒ n = 6

Thus, The solution of the expression are,

⇒ n = 6

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

The area of triangle BMN is 124.7 square centimeter.

Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.

Analysis:

AB = AC = BC = 50cm

AH = AC/2 = 50/2 = 25cm

From Δ ABH, using Pythagoras theorem to find BH.

\((BH)^{2}\) = \((AB)^{2}\) - \((AH)^{2}\)

\((BH)^{2}\) = \(50^{2}\) - \(25^{2}\)

\((BH)^{2}\) = 2500 - 625

\((BH)^{2}\) = 1875

BH = \(\sqrt{1875}\) = 43.3cm

ΔBMN and BHC are similar,

so, BM/BH = MN/HC

BM/43.3 = 12/25

25BM = 12 X 43.3

BM = 519.6/25 = 20.78cm

Area of ΔBMN

= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter

Learn more about similar triangles: brainly.com/question/2644832

#SPJ1

The slope of the line is a positive slope. The value of the slope is 2/3.

From the question, we are to determine if the slope of the line is positive, negative, undefined, or zero

First, we will calculate the slope of the line ,

Using the formula,

Slope = (y₂ - y₁) / (x₂ - x₁)

Pick two points: (0, -3) and (3, -1)

Thus,

Slope = (-1 - (-3)) / (3 - 0)

Slope = (-1 + 3)) / (3)

Slope = (2) / (3)

Slope = 2/3

Since the value of the slope is positive, the slope is a positive slope.

Hence,

The slope is positive.

Learn more on Slope here: brainly.com/question/29044610

#SPJ1

Let's say event A is the selection of four positive numbers, event B the selection of four negative numbers, and event C the selection of two positive and two negative numbers.

Since four numbers are chosen without replacement,  n(A) = 6 × 5 × 4 × 3 = 360  n(B) = 8 × 7 × 6 × 5 = 1680. In event C, four numbers are to be chosen without replacement such that two numbers are positive and two numbers are negative.

This can be done in following ways:  + + – – OR + – + – OR + – – + OR – + – + OR – – + + OR – + + –  ∴ n(C) = 6 × 5 × 8 × 7 + 6 × 8 × 5 × 7 + 6 × 8 × 7 × 5 + 8 × 6 × 7 × 5 + 6 × 5 × 8 × 7 + 8 × 6 × 5 × 7  = 6 × (8 × 7 × 6 × 5)  =10080  Here, total number of numbers = 14  ∴ n(S) = 14 × 13 × 12 × 11 = 24024

Since A, B, C are mutually exclusive events,

Required probability = P(A) + P(B) + P(C)

= n(A)/n(S) + n(B)/n(S)+ n(C)/n(S)

= 360+1680+10080/24024

= 505/1001

Learn more about Positive here:

https://brainly.com/question/15668711

#SPJ4

Answer:

The question is not clearly stated, but I can correctly infer that you wanted to ask the question below:

Out of 150 members, 120 took part, what is the percentage of the total that took part:

Answer:

80%

Step-by-step explanation:

The question is asking us to find what percentage of 150 is 120

Let the percentage of 150 that is 120 be x

x % of 150 = 120

x/100 × 150 = 120

0.01x × 150 = 120

0.01x = 120 ÷ 150 = 0.8

x = 0.8 ÷ 0.01 = 80

∴ 120 = 80% of 150

The mean square errors for the three-month and four-month moving average forecasts shown below.

How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.

Given:

According to the Given data we construct a table as

Month   Sales   3- month           4- month      3- month     4- month      

                         moving             moving         squared       squared

                        averages            averages      error           error

1             9.6      

2             9.2

3             9.3

4             9.2     9.367                                        0.111            

5             9.2     9.400                   9.450           0.160        0.123    

6             9.2     9.500                  9.500            0.010        0.140    

7             9.2     9.733                   9.625            0.001         0.006  

8             9.2     9.733                   9.725            0.751          0.776  

9             9.2     10.000                 9.950           0.010           0.002  

10            9.2     10.067                  9.975            0.218          0.141  

11             9.2     10.033                   9.950          0.401           0.322

12            9.2     9.633                   9.975             0.004          0.031

13                       9.567                 9.650    

                                                        MSE             0.185            0.176

Learn more about mean square errors here:

https://brainly.com/question/29662026

#SPJ4

With this velocity , It take her to reach in  11.54 minutes or 0.1923 hours.

A vector number known as velocity describes "the rate at which an object changes its position."It is measured in meters per second (m/s) or kilometers per hour (km/h) and is defined as the rate at which the position of an item changes with regard to time.² A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.³

A graph of the woman's speed vs time would have a straight line with a positive slope, beginning at (0,0), and ending at (t,60), where t represents the amount of time it takes her to reach 60 mph.

Her initial velocity is zero because she starts at rest, and her final velocity is 60 mph. The following formula can be used to get the average acceleration during this period:

v_f - v_i = a / t

where t is the time it takes to reach 60 mph, an is the acceleration, v_f is the final velocity (60 mph), v_i is the starting velocity (0 mph), and an is the final velocity. Inverting this formula results in:

a = t = (v_f - v_i)

Inputting the values for v_f and v_i results in:

t = (60 mph - 0) / a

The formula: can be used to determine the acceleration.

a = d / t²

where d is the travelled distance (10 miles). Inputting the values for d and t results in:

a = 2d / t²

This expression for an is entered into the previous expression for t to produce the following result:

√(2d / a) = t

Adding the values for d and a results in:

t is equal to √(2× 10 miles / ((60 mph)2 - 0)) = 11.54 minutes or 0.1923 hours.

To know more about velocity visit:

brainly.com/question/17127206

#SPJ1

Answer:

True

Step-by-step explanation:

:) Hope this helps ! x

True,  A translation maps each point to its image along a vector called the translation vector.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A translation maps each point to its image along a vector called the translation vector

Example:

A = (2, 4) translated vertically up with 2 units.

The image of A = (2, 4 + 2) = (2, 6).

The translation vector is the 2 units.

Thus,

A translation maps each point to its image along a vector called the translation vector

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ2

A system of inequalities that matches the graph include the following:

A. y > 2x + 1

   y ≥ -x - 2

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of the thick line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-2 - 0)/(0 + 2)

Slope (m) = -2/2

Slope (m) = -1

At data point (0, -2), a linear equation in slope-intercept form for this line can be calculated as follows:

y = mx + c

y = -x - 2

y ≥ -x - 2

The slope of the dashed line is given by;

Slope (m) = (1 + 3)/(0 + 2)

Slope (m) = 4/2

Slope (m) = 2

At data point (0, 1), a linear equation in slope-intercept form for the dashed line can be calculated as follows:

y = 2x + 1

y > 2x + 1

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

The probability that you are correct by making a random guess is 1/5.

According to the given question.

On a multiple choice test, each question has 5 possible answers.

As we know that probability, is a measure of the likelihood of an event to occur. It is calculated by taking the ratios of favorable outcomes to the total number of outcomes.

Here, it is given that there are 5 possible answers of one question.

⇒ Total number of outcomes = 5

Also, only one answer will correct out of 5 possible answers.

Which means, total number of favorable outcomes = 1

Therefore, the probability that you are correct by making a random guess

= favorable outcomes/total number of outcomes

= 1/5

Hence, the probability that you are correct by making a random guess is 1/5.

Find out more information about probability here:

https://brainly.com/question/11234923

#SPJ4

The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

More can be learned about the equation of an ellipse at https://brainly.com/question/16904744

#SPJ1

Answer:

Explanation:

ʲ⁄₋₂ + 7 = -12

Subtract 7 From Both Sides

ʲ⁄₋₂ + 7 - 7 = -12 - 7

Simplify

ʲ⁄₋₂ = -19

Multiply Both Sides By -2

(-2) ʲ⁄₋₂ = -19 (-2)

Answer:

38

Step-by-step explanation:

The probability of less or equal to 6 companies that outsource overseas use a consultant is 0.281, or 28.1%. The probability of less or equal to 6 companies that outsource overseas use a consultant can be calculated using the binomial distribution formula.

We know that the probability of a company outsourcing overseas and using a consultant is 30.0%, which means the probability of a company outsourcing overseas and not using a consultant is 70.0%.
Let X be the number of companies out of 17 that outsource overseas and use a consultant. Then, X follows a binomial distribution with parameters n = 17 and p = 0.3. We want to find P(X ≤ 6).
Using the binomial probability formula, we can calculate the probability of X ≤ 6 as follows:
P(X ≤ 6) = Σ P(X = k), k = 0 to 6

where Σ denotes the sum of probabilities of all possible values of X from 0 to 6.
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n items, and can be calculated as:
(n choose k) = n! / (k! * (n-k)!)
where n! is the factorial of n, which is the product of all positive integers up to n.
Using this formula, we can calculate P(X = k) for each value of k from 0 to 6, and then sum them up to get P(X ≤ 6).
Alternatively, we can use a binomial calculator or a spreadsheet program to calculate the probability directly.
Using a binomial calculator, we can enter n = 17, p = 0.3, and X ≤ 6, and get the probability as:
P(X ≤ 6) = 0.281

To know more about  probability  visit:-

https://brainly.com/question/11234923

#SPJ11

The cross product a × b is 8e^-tj - 6etk.

To find the cross product a × b, use the formula:
a × b = (a₂b₃ - a₃b₂)i - (a₁b₃ - a₃b₁)j + (a₁b₂ - a₂b₁)k
Given the vectors a = i + etj + e^-tk and b = 7i + etj - e^-tk, we can identify the components as:

a₁ = 1, a₂ = et, a₃ = e^-t
b₁ = 7, b₂ = et, b₃ = -e^-t

Now, compute the cross product:
a × b = ((et)(-e^-t) - (e^-t)(et))i - ((1)(-e^-t) - (e^-t)(7))j + ((1)(et) - (et)(7))k
a × b = (-e^0 + e^0)i - (-e^-t - 7e^-t)j + (et - 7et)k
a × b = 0i + 8e^-tj - 6etk

To know more about cross product visit:

https://brainly.com/question/2141550

#SPJ11

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Answer:

B. 3(4 + 5) = 3(4) + 3(5)

3 left-bracket (4) (5) right-bracket = 3 (4) + 3 (5)

3 left-bracket (4) (5) right-bracket = Left-bracket 3 (4) right-bracket + Left-bracket 3 (5) Right-bracket

Step-by-step explanation:

Distributive property of multiplication over addition:

a(b + c) = ab + ac

You have

3(4 + 5), so following the pattern above, you should get:

3(4 + 5) = 3(4) + 3(5)

Answer:

b

Step-by-step explanation:

I took the test

Answer:

the length is 8cm???

Step-by-step explanation:

its kind of obvi (i Think)

1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

To know more about Probability .

https://brainly.com/question/13604758

#SPJ11

Answer:

0.85

Step-by-step explanation:

The interquartile range of any given data set is simply the difference between the Q3 and the Q1, i.e. Q3 - Q1.

Let's find the Q3 and the Q1 of the given data set: 30.8, 29.9, 30.0, 31.0, 30.1, 30.5, 30.7, 31.0

First, let's order the data given in increasing order from small to the largest value:

29.9, 30.0, 30.1, 30.5, 30.7, 30.8, 31.0, 31.0

Let's find the median:

Since the number of data set given is even number (8), our median would be the average of the 4th and 5th data value = (30.5+30.7) ÷ 2 = 30.6

Let's find Q3 and Q1

Q1 is the middle value from the median point to our left = (30.0+30.1) ÷ 2 = 30.05

Q3 is the middle value from the median point to our right = (30.8+31.0)÷2 = 30.9

Interquartile Range = 30.9 - 30.05 = 0.85

Answer: x=

1

4

y+

−21

4

Step-by-step explanation:

Let's solve for x.

y=4x+21

Step 1: Flip the equation.

4x+21=y

Step 2: Add -21 to both sides.

4x+21+−21=y+−21

4x=y−21

Step 3: Divide both sides by 4.

4x

4

=

y−21

4

x=

1

4

y+

−21

4

Answer:

I think X is 3. Sorry if it's wrong!

Step-by-step explanation:

5 x 3 = 15 x 10 = 150

Answer:

12

Step-by-step explanation:

3 x 12 = 36

36 - 4 = 32

Answer:

12

Step-by-step explanation:

Use inverse operations. 32+4 and divide the answer by 3 which is 12.

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

To know more about root click here

brainly.com/question/16880173

#SPJ11

answer:

4.6 kilograms of pears

question:

I don't know if you meant 2.5 or 25 but ill assume you meant 2.5

By using the law of sine, the measure of ∠C is 39°

Law of sine:

Law of sine refers the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given,

Here we have the triangle.

Now, we have to find the angle ∠C.

While we looking into the given diagram,

We have the length of,

AB = 6

AC = 9

∠B = 105°

So, based on the law of sine it can be written as,

=> sin 105° / 9 = sin x°/6

Apply the value of sin 105° = 0.97, then we get,

=> 0.97/9 = sin x° / 6

Cross multiply them, then we get,

=> 5.82/9 = sin x°

=> 0.64 = sin x°

=> x = sin⁻¹ (0.64)

=> x = 39°

To know more about Law of sine here.

https://brainly.com/question/17289163

#SPJ1