The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples is a bushel of large apoles, how many small apples are in 1 lb of apples?​

Answer:

5

Step-by-step explanation:

Answer:

8% of $15,000 = .08 × $15,000 = $1,200

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

Answer:

I think its B

Step-by-step explanation:

Its B because it is just an experiment to see what will happen and there are no better odds.

Check the picture below.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}\)

notice, we didn't use -64, since the value of "x" must be a positive value.

Answer:

The answer is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

A correlation coefficient a numerical measure of change of two variables, but it is often a sample from a data set. Considering there is no change between our x and y variables that align in our change, the correlation coefficient I thought it would be is 0, but answering C.4 got an 100% on the Edge Test.

Step-by-step explanation:

clicking a link in the current visible page

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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Answer: C) 1/7

Step-by-step explanation:

Find the Slope

(−7, 0) , (0, 1)

Slope is equal to the change in y over the change in x, or rise over run.

           change in y

    m =  _________

           change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

            \(y_2 -y_1\)

    m = ______

           \(x_2 - x_1\)

Substitute in the values of x and y into the equation to find the slope.

            1 − (0)

    m =  ______

            0 − (−7)

Simplify the numerator.

                1

    m =  ______

            0 − (−7)

Simplify the denominator.

Multiply −1 by −7.

                1

    m =  _____

             0 + 7

Add 0 and 7.

             1        

    m = ___

             7

Answer:

The point estimate for the population standard deviation is of 0.061.

Step-by-step explanation:

The point estimate for the population standard deviation is the sample standard deviation.

Sample mean:

\(\overline{x} = \frac{1.33+1.25+1.22+1.27+1.39+1.34+1.33+1.32+1.26+1.20+1.28+1.20+1.24+1.38+1.31 }{15} = 1.288\)

Sample standard deviation:

Square root of the sum of the difference squared of all these values (1.33, 1.25, 1.22,...) and the mean of 1.288, divided by 15 - 1 = 14.

Using a calculator, it is of:

\(s = 0.061\)

The point estimate for the population standard deviation is of 0.061.

The area of a trapezoid is given by:

Where:

b1 = Short base = 16 in

b2 = Long base = 20 in

h = Height = 10 in

Therefore:

Answer:

180 in²

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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The average value of 3t^3-t^2 over the interval -1<=t<=2 is 11/4

Mean Value Theorem states if a function f(x) is continuous on the interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

f '(c)=f(b)-f(a)/b-a

Average Value:

The average value of a function of a variable over a range represents the height of a rectangle of the same area as that defined by the function under the curve. This value can be calculated using a formula:

favg=1/b−a∫f(t)dt

consider f(x)=3t³-t² and limits are -1 to 2

Now, substitute these values in the above formula:

favg=1/2-(1)∫3t³-t²dt

favg=1/3∫(3/4t⁴-1/3t³)|₋₁²

favg=(12-8/3)-(3/4+1/3)

By solving the equation we get

favg=11/4

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Answer:

Step-by-step explanation:

ok so  u convert the x by 9 and then u mulitply that by 291 and u get 45,789x :)

Answer:

Side XY is 6 units

Step-by-step explanation:

The order of ∆ QRS will be the same as the order of ∆ XYZ and the corresponding order between the 2 are congruent.

Angle Q is congruent to angle X because they are listed first. Angle R is congruent to angle Y because they are listed second. Angle S is congruent to angle Z because they are listed third.

We can see that side QR is 6 units. The corresponding side on triangle XYZ is side XY.

The Subtraction property of equality justifies the conclusion based on the given information.

The subtraction property of equality states that when the same number is subtracted from both sides of an equality, then the two sides of the equation still remain equal. In simple words, we can say that when a number is subtracted from one side of an equation, the same number must be subtracted from the other side of the equality.

if a = b

then;

a-c = b-c

We have:

If x + 5 = 15

By subtraction property of equality:

Subtract 5 from both sides we have;

x = 10

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Trabajando con porcentajes, concluimos que la pérdida es de $4800.

Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.

Entonces la pérdida va a ser el 8% de $60000.

Podemos escribir las relaciones:

$60000 = 100%

x = 8%

Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:

x = $60000*(8%/100%) = $60000*0.08 = $4800

Así, concluimos que la pérdida es de $4800.

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\(\text{Let,}\\\\~~~~~~~~y = (\ln 2x )^{\ln 3x}\\\\\implies \ln y = \ln\left[(\ln 2x)^{\ln 3x} \right]\\\\\implies \ln y =\ln (3x) \ln( \ln 2x)\\ \\\implies \dfrac{d}{dx}( \ln y) = \dfrac{d}{dx}\left[ \ln (3x) \ln(\ln 2x) \right]\\\\\implies \dfrac 1y\cdot\dfrac{dy}{dx} =\ln(3x) \dfrac{d}{dx} \ln(\ln 2x) + \ln(\ln 2x) \dfrac{d}{dx}( \ln 3x)\\\\\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\)

\(\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\\\\\\\implies \dfrac{dy}{dx} = \left[\dfrac{\ln(3x)}{x \ln(2x)}+ \dfrac{\ln(\ln 2x)}{x}\right](\ln 2x)^{\ln 3x}\)

Answer:

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 43

Given that the mean of the sample = 47

Given that the standard deviation of the Population = 25

Given that the sample size 'n' = 76

Step(ii):-

Null hypothesis:H₀: μ = 43

Alternative Hypothesis: H₁: μ ≠ 43

Test statistic

           \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

          \(Z = \frac{47-43 }{\frac{25}{\sqrt{76} } }\)

          Z = 1.39

Level of significance = 0.05

The critical value = 1.96

Final answer:-

The calculated value Z = 1.39 <1.96 at 0.05 level of significance

The null hypothesis is accepted

ANSWER

Loss of $1000

EXPLANATION

Cost is $50000

The less accumulated depreciation is $45000

Hence, the book value on data on sale;

Gain or loss on sale = Sale value - Book value;

Therefore a loss

Answer:

Step-by-step explanation:

X: -2, -1, 0, 1, 2,...

Y: -2, -1, 0, 1, 2,...

(y=x)

Answer: y=10x+25

y=10(7)+25

=70+25

=$95

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The surface area of the pyramid is 116.4 sq. ft.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

The surface area of the pyramid is calculated by adding the area of all the faces of the pyramid.

The area of the triangle is given as:

A = 1/2 (b)(h)

For the face of the pyramid:

b = 12 and h = 9

Substituting the values we have:

A = 1/2 (12)(9)

A = 54 sq. ft

The pyramid consists of three faces thus,

A = 3(54) = 162 sq ft

For the base of the pyramid:

b = 12 and h = 10.4 ft

A = 1/2(12)(10.4)

A = (6)(10.4)

A = 62.4 sq ft

The surface area of the pyramid is:

SA = 54 + 62.4

SA = 116.4 sq. ft

Hence, the surface area of the pyramid is 116.4 sq. ft.

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in this problem we have a vertical line

The equation of a vertical line is equal to the x-coordinate of the point that passes through it

so

in this case

the equation of the line is

x=-1