PLEASEEE HELP ASAP! *grade 9 work* and show your work!!

Answer:

Kennet 25,Andrew 15,Billy 30,Cameron 7

Step-by-step explanation:

Kenneth - 10+x,

Andrew - x,

Billy - 2x,

Cameron - x - 8,

10 + x + x + 2x + x - 8 =77

5x = 75

x = 15 (Andrew)

10+15= 25 (Kenneth)

2×15=30 (Billy)

15-8= 7 (Cameron)

In the successor set, we add a new element to the original set, which is the set itself. This is denoted by the union symbol (∪) followed by the element we are adding, {1, 2, 3}.

The resulting set is {1, 2, 3, {1, 2, 3}}, indicating that the successor set includes the original set as well as the new element.

Essentially, the successor of a set adds the set itself as a new element to the original set.

This concept is often used in mathematical set theory and has applications in various branches of mathematics and computer science.

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Answer:

420

Step-by-step explanation:

The graph bellow shows that 60 per minute is the distance that marc ran

so i would have to multiply

60 by 7 which equals 420

Hope this helps

Answer:

Total GST applicable to laptops and desktops is equal to CGST (50%) + SGST (50%). Thus 18% GST on laptops/desktops and their accessories equal 9% CGST + 9% SGST. In case of inter-state transfer of these goods such as an ecommerce transaction, IGST will be applicable at 18% on these products and services.

Step-by-step explanation:

Answer:

\(\boxed{\textsf{ The price excluding GST is \textbf{2414 Dollars}.}}\)

Step-by-step explanation:

For complete solution kindly refer to the attachment :)

Answer:

2.92 × 10^ -16 gram

Step-by-step explanation:

Option D

Answer:

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

where a = 8

           b = 15

           c = s (which is unknown)

plugin values into the formula:

a² + b² = c²

8² + 15² = s²

s = √(64 + 225)

s = √289

s = 17

We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167

The only case where he draws $30 randomly is when:

Then we need to find the probabilities for these two events.

For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:

p = 2/6 = 1/3

For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:

q = 1/2

The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:

P = p*q = (1/3)*(1/2) = 1/6 = 0.167

So the probability that he draws $30 in tokens is P = 1/6 = 0.167.

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Answer:

4/9

Step-by-step explanation:

==========================================================

Explanation:

We are summing terms of a geometric sequence with

To find the sum of the first n terms of a geometric sequence, use this formula

\(S_n = \frac{a(1-r^n)}{1-r}\\\\\)

We'll plug in the 'a' and r values mentioned, along with n = 12.

\(S_n = \frac{a(1-r^n)}{1-r}\\\\S_{12} = \frac{100(1-(1.10)^{12})}{1-1.10}\\\\S_{12} \approx 2,138.428376721\\\\S_{12} \approx 2,138.43\\\\S_{12} \approx 2,138\)

After 12 months, you have saved about $2,138

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

-700 final score

Step-by-step explanation:

-300 - 400 = -700

Subtracting a negative by a negative is ALWAYS another negative.

Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

183 cm is equal to 6.00337 feet. This is because the conversion formula states that we must divide the centimeter value by 30.48. This will give us the foot value.

The formula for converting cm to feet is to divide the centimeter value by 30.48. This will give you the foot value. So in order to convert 183 cm to feet, we must divide 183 by 30.48.

183 cm / 30.48 = 6.00337 feet

Therefore, 183 cm is equal to 6.00337 feet. To convert cm to feet, divide the centimeter value by 30.48.

To understand the conversion better, let's take a look at the calculation process. The calculation process involves dividing the centimeter value by 30.48. We can use a calculator to determine the exact value of the conversion.

We can also do the calculation by hand. To do this, we must first divide 183 cm by 30.48. We can do this by dividing 183 by 30.48. We can also use a calculator to make this process easier.

Now that we have the answer, let's break it down a little bit. First, the answer is 6.00337 feet. This means that 183 cm is equal to 6.00337 feet.

To convert cm to feet, we must divide the centimeter value by 30.48. This will give us the foot value. In this case, we divided 183 cm by 30.48 to get the answer of 6.00337 feet.

To summarize, 183 cm is equal to 6.00337 feet. This is because the conversion formula states that we must divide the centimeter value by 30.48. This will give us the foot value.

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The sign of "b" on the numerator should be negative. So we conclude that the correct option is false.

For a quadratic equation of the form:

\(y = a*x^2 + b*x + c\)

By using the Bhaskara's formula, the solutions of the equation:

\(0 = a*x^2 + b*x + c\)

Are given by the formula:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Notice that the sign of the first term on the numerator should be negative, while on the image it is positive.

So the equation shown in the image is incorrect.

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Answer:

slope is 2.

Step-by-step explanation:

(1,1) which is x¹and y¹

(3,5)which is x²and y²

so,

by using the formula,

slope= y2-y1over x2-x1

= 3-1over 5-1

= 2 over4

=2.

Answer:

-4

Step-by-step explanation:

The angle measures are;

m < 1  = 33°

m < 2 = 57°

It is important to note that complementary angles are defined as pairs of angles that sum up to 90 degrees.

From the information given, we have the angle measures as;

This can be represented as;

m < 1 + m < 2 = 90

Now, let's substitute the values into the equation, we have;

(x + 14) + 3x = 90

expand the bracket, we have;

x + 14 + 3x = 90

collect like terms

4x = 90 - 14

subtract the values

4x = 76

Make 'x' the subject of formula, we get;

x = 76/4

x = 19

Then,

m < 1 = (x + 14) = 19 + 14 = 33°

m < 2 = 3x = 3(19) = 57°

Hence, the values are 33° and 57° respectively.

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The complete question is;

In the figure below, m < 1 = (x + 14) and m < 2 = 3x, are both complementary to each other

Find the angle measures.

a)  The value of by in the equation is 13.2.

b)  The predicted value of y is 3097.28 when x1 = 218 and z = 2.

a)   In the given multiple regression equation, the coefficient of the independent variable x1 is 13.2. Therefore, the value of by in the equation is 13.2.

b)   To find the predicted value of y when x1 = 218 and z = 2, we can substitute these values into the regression equation and calculate ŷ.

The regression equation is: ŷ = 196.6 + 13.2x1 - 14.92 + 21.8z

Substituting x1 = 218 and z = 2:

ŷ = 196.6 + 13.2(218) - 14.92 + 21.8(2)

= 196.6 + 2871.6 - 14.92 + 43.6

= 3097.28

Therefore, the predicted value of y when x1 = 218 and z = 2 is 3097.28.

In summary, the value of by in the equation is 13.2, and the predicted value of y when x1 = 218 and z = 2 is 3097.28.

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The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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Answer:

(2,-9)

Step-by-step explanation:

Multiply out the polynomial to get:

x^2-4x-5

the vertex formula is -b/2a (use the coefficients of the equation above)

-(-4)/2(1) = 4/2 = 2

we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.

(2-5)(2+1)

(-3)(3) = -9

so the coordinate is (2,-9)

The percentile rank of a core of 71 in the given test is 26.67% and the score of Viktor for the 60th percentile is 85.

The formula for calculating the percentile rank of a set of data is

percentile rank for 'x' = (number of data values below 'x')/total number of data values × 100 i.e., Percentile rank = n/N × 100.

The formula for calculating the percentile is

percentile = rank × total number of data values

Where rank = percentile ÷ 100

A teacher recorded unit 4 test scores from her class.

The scores data is as follows:

58, 64, 68, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96

So, the total number of data values N = 15

The percentile rank for a score of 71 on this test is

The number of data values below score 71 is n = 4

Then,

Percentile Rank = n/N × 100 = 4/15 × 100 = 26.67%

Viktor's score, when he is in the 60th percentile is

percentile = rank × 15

Rank = 60 ÷ 100 = 0.6

⇒ percentile = 0.6 × 15 = 9

The data value after 9 positions from the left to right in the data set is 85. So, the score in the 60th percentile is below 85.

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Answer: The margin of error for the mean amount of coffee consumed by undergraduate students is approximately 0.5.

Step-by-step explanation:

The margin of error for the mean amount of coffee consumed by undergraduate students is the distance between the sample mean and the upper or lower bound of the confidence interval. Since the confidence interval is given as (34.5, 35.5), the margin of error is:

Margin of error = (Upper bound - Sample mean) = (35.5 - 35) = 0.5

Or, it can be calculated as:

Margin of error = (1.96) * (Standard error of the mean) = (1.96) * (6/sqrt(513)) = 0.507

Either way, the margin of error for the mean amount of coffee consumed by undergraduate students is approximately 0.5

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Answer:

$90.00

Step-by-step explanation:

Answer:

im pretty sure is $90.00

Step-by-step explanation:

i got it right