PLZ ANSWER ASAP, ITS THE LAST QUESTION ON MY TEST!!!
The larger of two numbers is 15 more than three times the smaller number. If the sum of two numbers is 63, find the numbers.

When talking about the rate of change on a line, we're talking about the slope.

Now, let's use points:

to estimate the slope of the line depicted in the graph.

(We'll get an aproximate value, since the graph is not suited for precise numerical calculations)

This way,

The closest value to the slope we've calculated is:

F. -6.5°C/km

(Answer)

The equation for x by using bthe pythagoras theorem is,

The value of x is 13.81 ft. Option B is correct.

Answer: The area of a circle is 286.37cm².

Step-by-step explanation: The answer to this question can be solved by finding the value of the radius from the circumference and substituting it into the area.

Following are the steps to solve this problem:-

Step 1.  The circumference of the circle is 60cm.

The formula for the circumference of a circle is 2\(\pi \\\)r.

Step 2. Calculating the value of radius (r) is 2\(\pi\)r=60 cm.

                                                                2x 3.14xr =60cm.

                                                                r= 9.55cm

Step 3. Calculate the area of a circle by using the formula \(\pi\)r²

Substituting the valur r( from step 2 ) in the formula

                                                  3.14x9.55x9.55= 286.37cm²

Thus, the answer is 286.37cm²

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Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.

Taking the derivative of the numerator:

d/dθ [1 - sin(θ)] = -cos(θ)

Taking the derivative of the denominator:

d/dθ [1 + cos(6θ)] = -6 sin(6θ)

Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:

lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))

When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:

= 0 / (-6)

= 0

Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.

Answer:

the Answer to your question is 87.96

About 87.96

The equation is V=3.14r^2h

Plug the values in, and you're good to go.

Answer:

48 times 14

Step-by-step explanation:

Answer:

q= 20 p= 56

Step-by-step explanation:

A angle is also 62°

Answer:

q = 20 degrees

p = 59 degrees

Step-by-step explanation:

to find q, find all the other interior angles within that shape and subtract it from 360

angle E = 180 - 62 = 118

angle b = 90

angle c = 132

360 - (118 + 90 + 132) = 20

angle q = 20 degrees

to find p, add all the other interior angles within that shape and subtract it from 180

angle e = 62 degrees

angle a and b are the same so, take 62 and subtract it from 180 then divide the answer by 2

180 - 62 = 118

118 / 2 = 59

angle a = 59 degrees

angle p = 59 degrees

The width of the rectangular garden is 21 feet.

A rectangle is a plane shape that have pair of opposite sides equal and parallel.

To calculate the width of the rectangle, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute into equation 1

Hence, the right option is D. 21 feet.

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1. x = π/6 + 2πn/3, for any integer n

2. Is not possible to solve (I think)

3. x = π/4 + πn, for any integer n

The judicious selection of the design increases the likelihood that the observed change in the dependent variable is a result of manipulating the independent variable rather than other factors.

When conducting research or experiments, it is crucial to carefully choose the design of the study. By doing so, researchers can minimize the influence of confounding variables and increase the internal validity of their findings. Internal validity refers to the extent to which the observed changes in the dependent variable can be attributed to the manipulation of the independent variable.

A well-designed study incorporates control groups, randomization, counterbalancing, and other techniques to reduce the impact of extraneous variables. This ensures that any observed changes in the dependent variable are more likely to be a direct result of manipulating the independent variable, rather than being influenced by other factors.

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Answer:

14:35

Step-by-step explanation:

Answer:

14:49 boys 35:49 girls

Step-by-step explanation:

35+14=49

The number of gold chains that Geraldo will have is 16 gold chains.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since Geraldo has a gold chain that is 34 inches long and he cuts it into 2 1/8 - inch-long chains.

The number of chains will be:

= 34 ÷ 2 1/8

= 34 / 2.125

= 16

He'll have 16 chains.

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Answer:

Step-by-step explanation:

The red line appears to be a good fit for the data because it passes through the center of the data points and follows the general trend of the points reasonably well. It appears to have a positive slope, indicating a positive correlation between the variables represented on the x-axis and y-axis.

Additionally, the red line appears to minimize the overall distance between the data points and the line, which is a common method for determining the line of best fit. This method is often referred to as the least-squares method, and it involves finding the line that minimizes the sum of the squared vertical distances between the data points and the line.

Answer: \(10(9+x)\)

Step-by-step explanation:

Factor 10 out of 90+10x

Reorder 90 and 10x..

Answer:

An equivalent expression could be:

\(45 + 5x\)

Step-by-step explanation:

You can just divide the equation by 2 or you can multiply it by 2 or 5 or what ever, its gonna be equivalent.

The length of each side of the square base is 7 inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a square prism of height 11 inches has a volume of 539 cubic inches.

Here, volume =Area of a base × Height

539=Area of a base×11

Area of a base=539/11

Area of a base=49

Here, base of prism is square

We know that, area of a square is a², where a is side

a²=49

a=±√49

a=7 inches

Therefore, the length of each side of the square base is 7 inches.

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The given expression is 4(8x + 5). This is a product of a coefficient and a binomial expression. In mathematics, a binomial is a polynomial with two terms.

They are represented as ax + b or a + bx or (a + b) etc. Given expression is 4(8x + 5). We can simplify this by applying the distributive property. It is given as follows; The distributive property of multiplication states that a(b + c) = ab + ac To simplify the given expression, we need to multiply the coefficient 4 with each term in the parentheses.

It can be done as follows; 4(8x + 5) = 4*8x + 4*5 We multiply 4 with 8x and 4 with 5 to obtain; 32x + 20 This is the main answer. Therefore, the simplified form of 4(8x + 5) is 32x + 20. To simplify the given expression 4(8x + 5), we can use the distributive property. According to this property, the product of a number with the sum of two or more terms is equal to the sum of the products of that number with each term of the sum. In other words, a(b + c + …) = ab + ac + … In the given expression, 4 is multiplied with the binomial (8x + 5). Hence,

4(8x + 5) = 4*8x + 4*5

= 32x + 20

Hence, the simplified form of 4(8x + 5) is 32x + 20.

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Answer: Choice D

3x+5 = 23

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

Explanation:

That last expression represents the number of markers Janelle brings, which is 23, so that's how we end up with 3x+5 = 23

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

Extra info (optional section):

If you wanted to solve that equation, then subtract 5 from both sides to get 3x = 18. Dividing both sides by 3 leads to x = 6. There are 6 students in her group. Since each gets 3 markers, they'll take 3*6 = 18 markers total. Adding on that additional 5 gets us to 18+5 = 23.

Answer:

Answer D

Step-by-step explanation:

Answer:

Step-by-step explanation:

false that is not at all true

Answer:

The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

\(4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32\)

Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

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The posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.

With your positive test result from Test 2, we must apply Bayes' theorem to get Doctor B's posterior probability that you have cogscitis, which is:

P(A|B) = P(B|A) * P(A) / P(B)

The following probabilities are known:

P(A) = 0.001 (the population prevalence and previous likelihood of getting cogscitis)

P(B|A) = 0.95 (the possibility of receiving a positive Test 2 result while having cogscitis)

P(B|not A) = 0.10 (the possibility of receiving a positive test result from Test 2 even if you do not have  cogscitis)

The law of total probability, which asserts the following, can be used to determine the marginal probability of a positive test result (P(B)):

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where:

P(not A) = 1 - P(A) = 0.999 (the multiplier of the previous probability of contracting cogscitis)

Substituting the values, we get:

P(B) = 0.95 * 0.001 + 0.10 * 0.999 = 0.1008

The posterior probability of developing cogscitis can now be determined, given a positive test result from Test 2:

P(A|B) = P(B|A) * P(A) / P(B)

= 0.95 * 0.001 / 0.1008

= 0.0094

Therefore, the posterior probability of having cogscitis, given a positive test result from Test 2, is 0.0094 or about 0.94%. This indicates that even though you had a positive Test 2 result, the likelihood that you actually have CNS inflammation is still extremely low less than 1%.

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Answer:

y = 9

Step-by-step explanation:

When a line crosses the y-axis, it crosses at point (0,y).

Substitute x = 0 in to the line equation we get:

y + 4 = 0 + 13

So y = 13 - 4 = 9

The line crosses the y-axis at point (0,9)

To express the given system of differential equation as an almost linear system, we need to find the partial derivatives of the given functions with respect to x and y.

∂f/∂x = -ex
∂f/∂y = 2
∂g/∂x = -1
∂g/∂y = -4cosy

Now, substituting these values in the general form of an almost linear system,

x′(t) = ax + by + r(x,y)
y′(t) = cx + dy + s(x,y)

we get,

x′(t) = -ex + 2y
y′(t) = -x - 4cosy

So,

a = -e, b = 2, c = -1, d = 0

At the critical point (0,0), the Jacobian matrix is

J(0,0) = ⎡⎣⎢⎢⎢-1 2⎤⎦⎥⎥⎥

The eigenvalues of this matrix can be found by solving the characteristic equation,

det(J - λI) = 0

where I is the identity matrix of the same size as J.

det ⎡⎣⎢⎢⎢-1-λ 2⎤⎦⎥⎥⎥ = (-1-λ)(-λ) - 2(2) = λ^2 + λ - 4

Using the quadratic formula, we get the eigenvalues as

λ1 = (-1 + sqrt(17))/2 ≈ 0.56
λ2 = (-1 - sqrt(17))/2 ≈ -2.56

Since the eigenvalues have opposite signs, the critical point is a saddle.

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Answer:

y = 8x - 64

Step-by-step explanation:

Start with y = mx + b, the slope-intercept equation.  Replace m with 8, x with 7 and y with -8:

-8 = 8(7) + b, or

-8 - 56 + b, or

b = -64

Then the desired equation is

y = 8x - 64

The probability that exactly one of the coins is a 10p piece is 1/2.

To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.

There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.

3. Both Erin's and Jack's coins are 10p pieces.

4. Both Erin's and Jack's coins are non-10p pieces.

Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).

Now, let's calculate the probability for each of the remaining possibilities:

1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:

The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:

This is the same as the previous case, so the probability is also 1/4.

3. Both Erin's and Jack's coins are non-10p pieces:

The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.

Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:

1/4 + 1/4 = 2/4 = 1/2.

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Answer:

graph 1 proportional

graph 2&3 is non proportional

i think

Answer: it is called the slope intercept

Answer: Slope-intercept form

Step-by-step explanation:

      The equation format of y = mx + b is slope-intercept.

-> m is the slope, or the steepness of the line

-> b is the y-intercept, or where the line intersects the y-axis.

Answer:

Step-by-step explanation:

It is very simple

118 + 90 + 70 + x = 360

x + 278 = 360

x = 82