Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for

The value of cos of angle x of the dilated triangle would be exactly the same as in the first triangle cos (8/17).

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1)

The cosine ratio is a ratio of the two sides.

We have been given If the cos of angle x is 8/17 and the triangle was displayed to be two times big as the original.

In the first triangle, the ratio is 8/17.

In the second triangle, the ratio is 16/34.

The second triangle could be reduced back to 8/17 which produces the same cosine value.

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Answer:

The equation of the line in slope-intercept form is y = 92x + 532.

The equation of the line in standard form is 9x−2y=−53

Explanation:

The slope of the line passing through (−7,−5)and(−5,4) is m=y2−y1x2−x1=4+5−5+7=92

Let the equation of the line in slope-intercept form be y=mx +cory =92x+c The point (-7,-5) will satisfy the equation . So, −5=92⋅ (−7)+corc=632−5=532

Hence the equation of the line in slope-intercept form is y=92x+532.

The equation of the line in standard form is

y=92x+532.or2y=9x+53

or 9x−2y =−53 {Ans]

Answer:

Option: C is the correct answer.

[tex]f(x)=x^3+x^2-9x-9[/tex]

Step-by-step explanation:

Clearly from the graph we could see that:

3 and -3 are zeros of the function f(x).

since the graph crosses these two points on the x-axis.

i.e. when x=3 or -3 ⇒ f(x)=0

Now when we put x=3 in each of the equation we see that:

A)

[tex]f(x)=x^3+2x^2-4x-8[/tex]

when x=3

[tex]f(x)=3^3+2\times 3^2-4\times 3-8\\\\f(x)=27+18-12-8\\\\f(x)=25\neq0[/tex]

Hence, option A is incorrect.

B)

[tex]f(x)=x^3+4x^2-x-4[/tex]

when x=3

[tex]f(x)=27+36-3-4\\\\f(x)=56\neq0[/tex]

Hence, option B is incorrect.

D)

[tex]f(x)=x^3+3x^2-3x-9[/tex]

when x=3

[tex]f(x)=27+27-9-9\\\\f(x)=36\neq0[/tex]

Hence, option D is incorrect.

Hence all the three options are discarded.

Hence, option C is the correct answer.

The function best represents the graph is:

[tex]f(x)=x^3+x^2-9x-9[/tex]

Answer:

'each embraces New York with the intense excitement of first love, each absorbs New York with the fresh eyes of an adventurer, each generates heat and light to dwarf the Consolidated Edison Company'

The correct answer is C - The imagery illustrates his view of what a true New Yorker is and the relationship that a New Yorker should have with the city.

The measure of variation for a numerical data set describes how the values of a number vary with the single number. This measurement shows the difference in the properties of a certain number to the rest of the numbers in the numerical data set.

The term that describes how values of a numerical data set vary with a single number is 'variation'. It quantifies the spread of data values, helping to add context and meaning to averages in a data set.

A measure of variation for a numerical data set describes how its values vary with a single number. Variation is a statistical concept that is used to quantify the spread or dispersion of a set of data values. A low variation indicates that the data points tend to be close to the mean (or expected value), while a high variation indicates that the data points are spread out over a wider range.

For example, if we have a data set of test scores, the variation can help us understand how close or far the scores are from the average test score. This provides more context and meaning to the overall average.

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Answer:

They will take 6.16 hrs or 6 hrs, 9 minutes and 36 seconds.

Step-by-step explanation:

Consider the provided information.

Let x is the number of cars in a lot.

Matthew can wash all the cars in 14 hours. That means in 1 hr he can wash x/14 cars.

Arianna can wash all the cars in 11 hours. That means in 1 hr Aranna can wash x/11 cars.

Together there rate will be:

[tex]\frac{x}{14}+\frac{x}{11}=\frac{x}{y}[/tex]

Here y represent the time taken by them if they work together.

Divide both sides by x, we get

[tex]\frac{1}{14}+\frac{1}{11}=\frac{1}{y}[/tex]

Thus, the required equation is: [tex]\frac{1}{14}+\frac{1}{11}=\frac{1}{y}[/tex]

Now solve for time, Here time is represents by y.

[tex]\frac{1}{14}+\frac{1}{11}=\frac{1}{y}[/tex]

[tex]\frac{11+14}{154}=\frac{1}{y}[/tex]

[tex]\frac{25}{154}=\frac{1}{y}[/tex]

[tex]y=\frac{154}{25}[/tex]

[tex]y=6.16[/tex]

Hence, they will take 6.16 hrs or 6 hrs, 9 minutes and 36 seconds.

Assuming the number of cars it sold doubled each month. The total number of cars the dealership sold during the first 12 months is: 4095.

Using exponential growth  formula

Total number of cars sold=2^N - 1

Where:

N = Number of months=12 months

Let plug in the formula

Total number of cars sold=2^12 - 1

Total number of cars sold=4,096 - 1

Total number of cars sold=4,095

Inconclusion the total number of cars the dealership sold during the first 12 months is: 4095.

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Answer with explanation:

It is given that, ΔM NO ~ Δ P Q R.

When two triangles are Similar, their Corresponding angles are equal and corresponding Sides are proportional.

So, following holds true by C P C T.

∠M = ∠P

∠N=∠Q

∠O=∠R

Also,

[tex]\frac{MN}{PQ}=\frac{NO}{QR}=\frac{MO}{PR}[/tex]

Option D: Angles O and R are congruent.

The width of the original rectangle is 5 inches and the length is 15 inches.

Let's assume the width of the original rectangle is x inches. According to the problem, the length of the rectangle is 3 times its width, so the length of the original rectangle is 3x inches.

When the width is diminished by 1 inch, the new width becomes x - 1 inches. And when the length is increased by 3 inches, the new length becomes 3x + 3 inches.

The area of a rectangle is given by length multiplied by width, so we can set up the following equation:

(x - 1)(3x + 3) = 72

By multiplying out the terms and rearranging the equation, we get:

3x^2 + 6x - x - 3 = 72

Combining like terms and simplifying further:

3x^2 + 5x - 75 = 0

Solving this quadratic equation gives us two possible answers for x: x = -5 or x = 5.

Since the width cannot be negative, we discard the negative value of x. Therefore, the width of the original rectangle is 5 inches and the length is 3 times the width, which is 3 * 5 = 15 inches.

Final answer:

To calculate the distance Annie travels on a bicycle with 20-inch diameter wheels making 3 revolutions per second, use the formula for calculating distance traveled.

Explanation:

The diameter of the wheels is 20 inches, which means the radius is half of the diameter, so radius = 10 inches = 10/12 feet. Each wheel makes 3 revolutions per second.

To find how many feet Annie travels in 1 second, you can use the formula:

Distance traveled = 2 * pi * radius * number of revolutions per second.

Substitute the values into the formula and then round to the nearest foot to get the answer.

The answer is 0 feet.

Translation, reflection, rotation and dilation always produces similar shapes, therefore all circles are similar.

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Translation, reflection, rotation and dilation always produces similar shapes, therefore all circles are similar.

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Answer:

Option B. 4m - 24n + 3

Step-by-step explanation:

There are two polynomials (17m - 12n - 1) and (4 - 13m - 12n)

We have to add the given tow polynomials

(17m - 12n -1) + (4 - 13m -12n)

Now we will put the similar terms together and add them.

(17m - 12n -1 + 4 - 13m - 12n) = 17m - 13m -12n - 12n -1 + 4 = 4m - 24n + 3

The final answer by adding them is Option B. 4m - 24n + 3

For a better understanding of the solution provided here please go through the graph in the attachment. Please note that the solution provided here will be an approximate solution.

In the graph, the x axis is the number of months. 1 is January, 2 is February, so on and so forth.

The y axis is the expected number of daylight hours in those months. Each point has been depicted in the graph as shown.

Now, when we look at the graph we notice a pattern. The graph is nearly a cosine graph. Thus the equation that will best model the data will be an equation of the cosine form and will look like:

[tex] y=A cos(\omega t)+B [/tex]

where symbols have their usual meanings.

Let us find each term now:

We know that in December, the expected number of daylight hours is 9.25 hours. Thus, let us assume that the expected number of daylight hours in previous December was 9.25 hours too.

With this assumption let us proceed.

Amplitude=[tex] \frac{Highest - Lowest}{2} =\frac{15-9.25}{2} =2.875 [/tex]

The Vertical Shift Up is B=[tex] \frac{9.25+15}{2} = 12.125[/tex]

Also, the frequency can be calculated as: [tex] \omega=\frac{2\pi}{Period}= \frac{2\pi}{12}=\frac{\pi}{6} [/tex]

Thus, plugging in all the values, the final equation will be:

[tex] y=-2.875cos(\frac{\pi}{6}t)+12.125 [/tex]....(Equation 1)

The negative value of A suggests that the function starts below the horizontal y=12.125 line.

The above is the (Equation 1) that best models the given data.

Now, to find the expected number of daylight hours in March 2020, we just have to find the value of the time, t from January 2015 to March 2020.

Now, we know that each year has 12 months. So, 5 years from start of 2015 to end of 2019 will have 12 x 5=60 months. We need to add to this the first three months of the year 2020 to take us till March 2020. Thus, the value of t from January 2015 to March 2020 is 63.

Now, let us use the (Equation 1) to find the value of expected number of daylight in March 2020 by plugging in t=63 in it.

Thus,

Expected number of daylight in March 2020 is:

[tex] y=-2.875cos(\frac{\pi}{6}\times 63)+12.125 [/tex]

[tex] \therefore y=12.125 [/tex] hours.

Answer:

The answer is A

Step-by-step explanation:

Answer:

option c is correct

Step-by-step explanation: