What is the solution to the equation below? (Round your answer to two decimal places.) 6•in x=9.1

Answer:

d=2-3a

Step-by-step explanation:

Solve for d by simplifying both sides of the equation, then isolating the variable.

3d+3a=4

Subtract 3 from each side of the equal sign:

d+3a=1

Subtract 3a-1:

d=2-3a

Hence d=2-3a is your final answer

Answer:

d = 2 - 3a

a = -d+2/3

Step-by-step explanation:

i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea

lmk if this helped

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

1)    \(\frac{4}{-3}\)

2) \(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)

1. Through (4,-3) and (-2,5):

Slope = \(\frac{5 - (-3)}{-2 - 4}\)

Slope = \(\frac{8}{-6}\)

Simplified to: \(\frac{4}{-3}\)

2. Through (2, -1) and (0, -4)

Slope = \(\frac{-4 - (-1)}{0 - 2}\)

Slope = \(\frac{-3}{-2}\)

Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)

Meaning that the slope of 1) is    \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).

Hope this helps!

If she is only interested in creating a small number of clusters.The type of clustering method that would work best is: k-means clustering.

k-means clustering can be defined as a quantization techniques that is used to divide or seperate or data into number of groups in which each of the observation is linked to a prototype cluster or vectors.

Based on the given scenario k-means clustering method is the best choice as this will result in efficiency and make her work faster and easier.

Therefore the type of clustering method that would work best is: k-means clustering.

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Answer:

x = 10°

Step-by-step explanation:

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.

So

x =( x + 10 )/2

2x = x + 10

2x - x = 10

x = 10°

Hope it will help :)

Answer:

93750 is the answer!!!!!

Answer:

153.86 units²

Step-by-step explanation:

From the question given above, the following data were obtained:

Pi (π) = 3.14

Radius (r) = 7 units

Area (A) =?

The area of a circle can be obtained by using the following formula:

A = πr²

A = 3.14 × 7²

A = 3.14 × 49

A = 153.86 units²

Thus, the area of the circle is 153.86 units²

Answer:

15

Step-by-step explanation:

The range of a group of numbers is the highest number in the sequence minus the lowest number.

Which in this case was 51 - 36 = 15.

Hope this Helps!

:D

Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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Answer:

B (-4)(3) + (-4)(1/4)

Step-by-step explanation:

We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.

(-4)(3 1/4) = (-4)(3 + 1/4)

Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes

(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)

I hope this helps! :)

Answer:

If insulin levels are high, the liver absorbs the glucose & changes it into glycogen.

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

The cardinal number for the set is 5.

The size of a finite set (even comprehended as its cardinality) exists calculated by the number of elements it has. Remember that counting the number of elements in a set amounts to creating a 1-1 correspondence between its elements and the numbers in {1,2,...,n}.

The cardinal number (or cardinality) of set A, represented by n(A), exists as the number of distinct elements in set A

Since set A contains 5 distinct elements, then:

n(A) = 5

Therefore, the cardinal number for the set is 5.

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Answer:

D) b + 6 = 17; b = 11

Step-by-step explanation:

Marco checked out a total of 17 items. It is given that 6 of them are movies. Set the equation. Let b = the amount of books checked out:

Whole = Part A + Part B

Whole = 17

Part A = movies = 6

Part B = books = b

17 = 6 + b

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:

17 (-6) = 6 (-6) + b

b = 17 - 6

b = 11

D) b + 6 = 17; b = 11 is your answer.

~

Answer:

The last option

Step-by-step explanation:

The keep deleting my answer for no reason-

The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

66 2/3

Step-by-step explanation:

(2/3)(100) = 66 2/3

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads....}\)

\(\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}\)

\(\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}\)

\(\mathbf{\dfrac{2}{3}}\)

\(\mathbf{= 2\div3}\)

\(\mathbf{= 0.66666667}\)

\(\mathbf{= 0.66666667 \times 100}\)

\(\mathbf{= 66.6666667\%}\)

\(\mathbf{\approx 66.67\%}\)

\(\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}\)

\(\huge\textsf{Option A.}\)

\(\mathbf{66 \dfrac{1}{3}}\)

\(\mathbf{= \dfrac{66\times3+1}{3}}\)

\(\mathbf{= \dfrac{198 +1}{3}}\)

\(\mathbf{= \dfrac{199}{3}}\)

\(\mathbf{= 199\div3}\)

\(\mathbf{= 66.3333333}\)

\(\mathbf{= 66.3333333 \times100}\)

\(\mathbf{= 6,633.33333\%}\)

\(\mathbf{\approx 6,633.33\%}\)

\(\huge\textsf{This eliminates Option A. as your result.}\)

\(\huge\textsf{Option B.}\)

\(\mathbf{66 \dfrac{3}{5}}\)

\(\mathbf{= \dfrac{66\times5 + 3}{5}}\)

\(\mathbf{= \dfrac{330 + 3}{5}}\)

\(\mathbf{= \dfrac{333}{5}}\)

\(\mathbf{= 333\div5}\)

\(\mathbf{= 66.6}\)

\(\mathbf{= 66.6 \times 100}\)

\(\mathbf{= 6,660}\)

\(\mathbf{\approx 6,660\%}\)

\(\huge\textsf{This eliminates Option B. as your result.}\)

\(\huge\textsf{Option C.}\)

\(\mathbf{66 \dfrac{2}{3}}\)

\(\mathbf{= \dfrac{66\times3+2}{3}}\)

\(\mathbf{= \dfrac{198 + 2}{3}}\)

\(\mathbf{= \dfrac{200}{3}}\)

\(\mathbf{= 200\div3}\)

\(\mathbf{= 66.6666667}\)

\(\mathbf{= 66.6666667\times100}\)

\(\mathbf{= 6,666.66667}\)

\(\mathbf{\approx 6,666.67\%}\)

\(\huge\textsf{This eliminates Option C. as your result.}\)

\(\huge\textsf{Option D.}\)

\(\mathbf{66\dfrac{7}{10}}\)

\(\mathbf{= \dfrac{66\times10 +7}{10}}\)

\(\mathbf{= \dfrac{660 + 7}{10}}\)

\(\mathbf{= \dfrac{667}{10}}\)

\(\mathbf{= 667\div10}\)

\(\mathbf{= 6.67}\)

\(\mathbf{= 6.67\times100}\)

\(\mathbf{= 6,670}\)

\(\mathbf{\approx 6,670\%}\)

\(\huge\textsf{This eliminates Option D. as your result.}\)

\(\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}\)

\(\huge\textbf{The closest answer was:}\)

\(\mathbf{66 \dfrac{2}{3}}\)

\(\huge\textbf{Therefore the answer MIGHT be:}\)

\(\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The percent of students surveyed that would choose a fish as a pet is; 25%

A pie chart is defined as a graphical representation technique that displays data in a circular-shaped graph.

Now, from the attached pie chart, we can see the following percentages;

Percentage of Students that chose Dog as a pet = 50%

Percentage of Students that chose Cat as a pet = 25%

Percentage of Students that chose Fish as a pet = 25%

Since the above percentages represents the percentage of students with their preferred choice of animals, then we can say that percentage of Students that chose Fish as a pet is 25%.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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