What is the value of w?
w+12°
w+45°
w-23°
I need help with the equation for this question

Answer:

The property that is shown here is communitive property.

Step-by-step explanation:

It is that because the number are switched but you can still get the same answers.

39

40-32÷8+5-2

40-4+3

40-1

39

Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

The number of rose bushes will equal the number of tulip plants after 3 years

The given parameters are:

Rose bushes

Tulip bushes

So, the number of rose bushes and tulip bushes each year is:

y = 5 + 2x

y = 20 - 3x

From the graph of both equations, we have:

(x,y) = (3,11)

Hence, the number of rose bushes will equal the number of tulip plants after 3 years

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Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.

This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.

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The probability of drawing a red marble from the jar is 5/11 and the probability of drawing a blue marble from the jar is 6/11.

There are 22 marbles in the jar in total, 10 of which are red and 12 of which are blue. To find the probability of drawing a red marble, we can use the formula for probability:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 10 (the number of red marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a red marble = 10/22

This fraction can be reduced to 5/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a red marble from the jar is 5/11.

To find the probability of drawing a blue marble, we can use the same formula:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 12 (the number of blue marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:

Probability of drawing a blue marble = 12/22

This fraction can also be reduced to 6/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a blue marble from the jar is 6/11.

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Answer:

Step-by-step explanation:

8)

88x + 8y = 40

8y = -88x +40

y = -11x +5

9)

m= -11

10)

+5

Answer:

3(10 × 14) cause its basically telling you to multiply

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

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Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

Answer:

\( {x}^{2} - 12x + 23 = 0\)

\( {x}^{2} - 12x = - 23\)

\( {x}^{2} - 12x + 36 = 13\)

\( {(x - 6)}^{2} = 13\)

x - 6 = +√13

x = 6 + √13

A differential equation is a mathematical equation that relates a function to its derivatives. It involves the unknown function and one or more of its derivative. The solution to the differential equation -

xy' − 2y = x^2, x > 0

is y = (1/4)x^3 + C/x.

To solve the differential equation, we will use the method of integrating factors.

The differential equation is: xy' - 2y = x^2

We can rearrange it in the standard form: y' - (2/x)y = x

The integrating factor (IF) is defined as e^∫(2/x) dx. Integrating 2/x with respect to x gives us 2ln|x|.

Therefore, the integrating factor is IF = e^(2ln|x|) = e^(ln(x^2)) = x^2.

Now, multiply the entire equation by the integrating factor x^2:

x^2(y' - (2/x)y) = x^2(x)

x^2y' - 2xy = x^3

Next, we recognize that the left-hand side is the derivative of (xy) with respect to x. Applying this, we get:

d/dx(xy) = x^3

Integrating both sides with respect to x:

∫d(xy) = ∫x^3 dx

xy = (1/4)x^4 + C

Finally, divide both sides by x:

y = (1/4)x^3 + C/x

where C is the constant of integration.

So, the solution to the given differential equation is y = (1/4)x^3 + C/x.

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Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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It's C, multiply the volume of the cone by 3.

Answer:

C

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

19-(-3)

19+3

22

Answer:

2.3 is your answer sry if wrong

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

Step-by-step explanation:

slope is -2 and y intercept is -1

Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

Answer:

Step-by-step explanation:

For x+3y=15

Take (6,3) and substitute the points:

6+3(3)=15

6+9=15

15=15

For 4 x + 2 y = 30 and substitute the points:

4(6)+2(3)=30

24+6=30

30=30

So, (6,3) is the solution of the given system of equations.

One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.

A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.

Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.

If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.

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The lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

To calculate the upper specification limit (USL) for the plastic liner, we know that it lies about 5 standard deviations (σ) from the centerline or mean thickness. The process has a mean thickness of 4.0 mm and a standard deviation (σ) of 0.02 mm.

So, the USL can be calculated as follows:

USL = Mean + (5 * σ)

= 4.0 mm + (5 * 0.02 mm)

= 4.0 mm + 0.1 mm

= 4.1 mm

Therefore, the upper specification limit (USL) for the plastic liner in this highway project is 4.1 mm (rounded to three decimal places).

Similarly, the lower specification limit (LSL) can be calculated by subtracting 5 standard deviations from the mean thickness:

LSL = Mean - (5 * σ)

= 4.0 mm - (5 * 0.02 mm)

= 4.0 mm - 0.1 mm

= 3.9 mm

Therefore, the lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

It's worth noting that the given information also mentions the process capability index (Cpk), which is a measure of how well the process meets the specifications. In this case, the Cpk is calculated as (USL - Mean) / (3 * σ), and it is determined to be 1.667 (rounded to three decimal places).

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Answer:

4:3 there are 4 cups of flour to 3 cups of sugar

The solution to the problem involves calculating the t-score and finding its corresponding p-value. The steps involved are: Step 1: Determine the null and alternative hypotheses. H0: The weights of pennies pre-1983 and post-1983 have the same amount of variation Ha: The weights of pennies pre-1983 and post-1983 do not have the same amount of variation.

Step 2: Set the level of significance. Assume the level of significance is α = 0.05. Step 3: Calculate the degrees of freedom (df) using the formula: df = n-1 where n is the total number of pairs of sample data. Here, n = 35+37

= 72Therefore,

df = 72-1

= 71. Step 4: Calculate the standard deviation of the differences using the formula: \(sd = sqrt(((n-1) * (Sd1^2 + Sd2^2)) / df),\) where Sd1 and Sd2 are the standard deviations of the first and second samples, respectively. Here, Sd1 = 0.03910 and

Sd2 = 0.01649. Therefore,

\(sd = sqrt(((71) * (0.03910^2 + 0.01649^2)) / 71)\)

= 0.042. Step 5: Calculate the t-score using the formula:

\(t = (d - μd) / (sd / sqrt(n))\), where d is the difference between each pair of sample data, μd is the hypothesized difference between the population means of the two samples (which is zero), and n is the total number of pairs of sample data. The t-score is given by: \(t = (3.07478 - 2.49910) / (0.042 / sqrt(72))\)

= 12.293. Step 6: Find the p-value using the t-distribution with (n-1) degrees of freedom. Since the alternative hypothesis is two-tailed, the p-value is calculated as: P = 2 * (1 - T.DIST(t, df, 1)) where T.DIST is the Excel function that returns the probability of the t-distribution. The p-value is given by: P = 2 * (1 - T.DIST(12.293, 71, 1))

= 0 (approx.)

Conclusion, Since the p-value is less than the level of significance (p < α), we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the weights of pennies pre-1983 and post-1983 do not have the same amount of variation.

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i think it depends on if you have enough money to buy the books you need so C would be the answer

The amount William will have in his account after 4 years is $5737.50.

The formula for compound interest is

A(t) = P(1 + i)^t

where A(t) is the final amount in the account after t years, P is the initial principal or the amount invested, i is the annual interest rate, and t is the number of years.

In this case, P = 5000 dollars, i = 3.5% (expressed as a decimal), and t = 4 years.

So, to find the final amount in the account after 4 years, we can plug these values into the formula:

A(4) = 5000(1 + 0.035)^4

To calculate this we can use a calculator or use the exponential function, in this case, we get:

A(4) = 5000(1.035)^4

= 5000(1.1475)

= 5737.50

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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It will take approximately 35.21 years to amass $4,573,303 for retirement by saving $1,482 per month at a 6.49% annual rate.

To calculate the number of years it will take to reach a retirement goal of $4,573,303 by saving $1,482 per month at a 6.49% annual rate, we can use the present value formula for an annuity:

PV = PMT x ((1 - (1 + r/n)^(-nt)) / (r/n))

where:

PV = present value or retirement goal amount ($4,573,303)

PMT = monthly savings amount ($1,482)

r = annual interest rate (6.49%)

n = number of times interest is compounded per year (12 for monthly compounding)

t = time in years

Substituting these values into the formula, we get:

$4,573,303 = $1,482 x ((1 - (1 + 0.0649/12)^(-12t)) / (0.0649/12))

Solving for t using algebra, we get:

t = ln(1 + PV/(PMT x (r/n))) / (n x ln(1 + r/n))

t = ln(1 + 4573303/(1482 x (0.0649/12))) / (12 x ln(1 + 0.0649/12))

t = 35.21

Therefore, it will take approximately 35.21 years to amass $4,573,303 for retirement by saving $1,482 per month at a 6.49% annual rate.

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