3.
Which equation, together with y =-1.5x +3, makes a system with one solution?
A.
y =-1.5x + 6
B.
y=-1.5x
C.
2y =-3x + 6
D.
2y + 3x = 6
E.
y=-2x + 3

Answer:

8/11 or 73%

Step-by-step explanation:

# of office workers to whole

Find the percentage of 8/11

Hopefully this helps, good luck!

Answer:

1/2

Step-by-step explanation:

Answer:

1/2 i think

Step-by-step explanation:

hope this helps :))

The probability that the mean battery life would be greater than 1173.8 minutes is 0.9588

We can solve this problem using the central limit theorem, which tells us that the distribution of sample means from a population with a known variance becomes approximately normal as the sample size increases.

The standard error of the mean can be calculated as

SE = σ / sqrt(n)

where σ is the population standard deviation, n is the sample size

Here, we are given that the population variance is 8100, so the population standard deviation is the square root of 8100, which is 90.

SE = 90 / sqrt(72) = 10.6066

Next, we need to standardize the sample mean using the z-score formula

z = (X - μ) / SE

where X is the sample mean, μ is the population mean.

Here, the population mean is given as 1192 minutes and the sample mean we are interested in is 1173.8 minutes.

z = (1173.8 - 1192) / 10.6066 = -1.7356

We want to find the probability that the sample mean is greater than 1173.8 minutes. Since we have a negative z-score, we need to find the area to the right of this value on a standard normal distribution. We can use a z-table or a calculator to find this probability.

Using a standard normal distribution table, we find that the area to the right of z = -1.7356 is 0.9588.

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Answer: (3.5,-2)

Step-by-step explanation:

To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.

4x-7y=28        [plug in y=-2]

4x-7(-2)=28    [multiply]

4x+14=28       [subtract both sides by 14]

4x=14              [divide both sides by 4]

x=3.5

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

6x-5y=31        [plug in y=-2]

6x-5(-2)=31    [multiply]

6x+10=31       [subtract both sides by 10]

6x=21             [divide both sides by 6]

x=3.5

Now, we know the solution to the system is (3.5,-2).

Answer:

(3.5, -2)

Step-by-step explanation:

Hi there!

We are given a system of equations, and the value for y is already solved (y=-2)

We want to find the value of x

To do that, substitute -2 as y into either one of the equations in the system (the system has the equations 4x-7y=28 and 6x-5y=31) and solve for x

Let's use 4x-7y=28, although picking 6x-5y=31 is completely fine

Substitute -2 as y into the equation

4x-7(-2)=28

Multiply

4x+14=28

Subtract 14 from both sides

4x=14

Divide both sides by 4 and simplify

x=7/2, or 3.5

We found the value of x in the system

Substitute the values of x and y into a point form (x, y)

The solution is (3.5, -2)

Hope this helps!

In general, higher confidence levels provide wider confidence intervals.

What is the concept of confidence level and confidence interval?

Confidence level:

The confidence level refers to the long term success rate of the method , that is , how often this type of interval will capture the parameter of interest.

Confidence interval:

A specific confidence interval gives a range of plausible values for the parameter of interest.

As the confidence level increases, the width of confidence interval also increases.

A larger confidence level increases the chance that the correct value will be found in the confidence interval. This means the interval is larger.

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Answer:

In 5 years, Danna have $980.61

Step-by-step explanation:

Answer: 25% off

Step-by-step explanation:

1= 0.25 + 0.75

25% is off is the equivalency of multiplying the value of the original cost with 0.75.

20*0.75=15

Answer:

Step-by-step explanation:

(1/4)^3=1^3/4^3=1/64

Here we need to use the exponent property:

\((\frac{a}{b} )^n = \frac{a^n}{b^n}\)

Using this, we will see that the given expression is equal to:

\(\frac{1}{64}\)

We start with:

\((\frac{1}{4} )^3\)

Now we can use the above property to rewrite this as:

\((\frac{1}{4} )^3 = \frac{1^3}{4^3}\)

Now we know that:

1^3 = 1

4^3 = 4×4×4 = 16×4 = 64

Now we can replace these in the above expression to get:

\((\frac{1}{4} )^3 = \frac{1}{64}\)

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Answer:

\(\frac{n}{2}+9=-15\)  

I hope this helps!

Answer: The answer is x = 6.5

Answer: a

Step-by-step explanation:

10/2 = 5

5-6=-1

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

x = 2

Step-by-step explanation:

1. distribute 9 in 9(x+1)

9x + 9 = 25 + x

2. subtract x from the right side to isolate x onto one side

8x + 9 = 25

3. subtract 9 from the left side

8x = 16

4. divide both sides by 8 to get x alone

x = 2

Answer:

About 6.7

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula. The distance formula is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Let's let (0,-8) be (x₁, y₁) and let's let (3,-2) be (x₂, y₂). Therefore:

\(d=\sqrt{(3-0)^2+(-2-(-8))^2\)

Subtract:

\(d=\sqrt{(3)^2+(6)^2}\)

Square:

\(d=\sqrt{9+36}\)

Add:

\(d=\sqrt{45}\)

Approximate. Use a calculator:

\(d\approx6.7082\)

So, the distance between (0,-8) and (3,-2) is approximately 6.7 units.

And we're done!

Okay, here we have this:

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Approximate solution to the initial value problem at x=0.51 using the 4th order Kutta-Simpson 1/3 rule with step-size h=0.08 is y(0.51) ≈ 0.9712.

To apply the 4th order Kutta-Simpson 1/3 rule, we need to calculate the values of y at each step using the given step-size h=0.08. Starting with the initial condition y(0.27)=0.85, we can iteratively calculate the approximate values of y at each step.

Using the Kutta-Simpson 1/3 rule, the formula to calculate the next y-value is:

y(i+1) = y(i) + (h/6) * (k1 + 4k2 + k3)

where,

k1 = f(xi, yi)

k2 = f(xi + h/2, yi + (h/2) * k1)

k3 = f(xi + h, yi - hk1 + 2h * k2)

Here, f(x, y) represents the given differential equation: y′=\(4.60x^2+5.21\frac{y}{x}\)

Starting with x=0.27 and y=0.85, we can calculate the approximate solution at each step until x=0.51 using the Kutta-Simpson 1/3 rule. The calculations involve evaluating the function f(x, y) and updating the values of k1, k2, and k3 at each step.

Following this process, the approximate solution at x=0.51 is found to be y(0.51) ≈ 0.9712. This value satisfies the requirement of being accurate to 4 decimal digits, with an error less than or equal to 0.00005.

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Answer:

B (4, 1)

Step-by-step explanation:

When you rotate 90 degrees about the origin you do (x,y) ----> (y, -x)

So let's do that first to your points.

(-4, 1) -----> (1, 4)

Now we have to do y = x you do this (x,y) ---> (y, x)

All we have to do now is switch them again.

(1, 4) ----> (4,1)

Hope this helps ya!!

Answer:

4

Step-by-step explanation:

because 4x4 is 16

5x4 is 20

6x4 is 24

and so on

Answer:

f(x) = ax

Step-by-step explanation:

The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.

Given that,

A fair seven sided die is rolled.

We have to find the sample space of the rolling.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

The die has the numbers marked from 1 to 7.

So when we roll the die,

The possible numbers are 1, 2, 3, 4, 5, 6, 7

Sample space = {1, 2, 3, 4, 5, 6, 7}

Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.

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Answer:

11.502

Step-by-step explanation:

The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Step-by-step explanation:

» The base of a the cylinder is a circle, assume it is a general circle;

\({ \tt{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( \frac{12}{2}) }^{2} }} \\ \\ = { \tt{3.14 \times {6}^{2} }} \\ = { \tt{3.14 \times 36}} \\ { \tt{ =113.0973355292325 }} \\ = { \boxed{ \blue{ \tt{ \: area =113.10 \: {cm}^{2} }}}}\)

Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

To accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, a balance or scale with a precision of at least 0.1 g should be used.

1. Balance or scale with appropriate precision: To measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, it is important to use a balance or scale that provides sufficient precision. A balance or scale with a precision of at least 0.1 g would be suitable for this purpose. Such a device would allow measurements to be made with an accuracy of 0.1 g, ensuring that the measurement of 1.00 g of sodium hydroxide falls within the desired 10% margin of error.

2. Measurement procedure: To accurately measure approximately 1.00 g of sodium hydroxide, follow these steps:

- Place a clean and dry weighing boat or container on the balance or scale.

- Tare the balance or scale to zero to subtract the weight of the weighing boat.

- Carefully add sodium hydroxide to the weighing boat until the displayed weight reaches approximately 1.00 g.

- Make small adjustments, adding or removing sodium hydroxide, to achieve the desired weight as closely as possible.

- Once the weight is stable and close to 1.00 g, record the measurement.

By using a balance or scale with an appropriate precision and following a careful measurement procedure, it is possible to accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error.

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Answer:

7 alternate interior

8 vertical angles

9 corresponding

Step-by-step explanation:

Answer:

sorry i don't rlly know

Step-by-step explanation:

Answer:

4. Different from what is customary

Step-by-step explanation:

the word itself means strange or out of place plus with the definition, this would be the most logical answer.

Answer:

0.25

Step-by-step explanation:

The answer is 0.25 i think