7.8 x 10 3
--------------
1.2 x 10 4

Answer:

30 lb bag is cheaper by about $2.40

Step-by-step explanation:

to find per pound we divide

19.49/4= 4.8725

$4.87per pound

$73.99/30=2.46633

$2.47 per pound

30 lb bag is cheaper per pound

4.87-2.47=2.40

hopes this helps please mark brainliest

Answer:

55%

Step-by-step explanation:

Answer:

55%

132 is 55% of 240

Step-by-step explanation:

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

Z

Step-by-step explanation:

A car that gets 45 kilometers per gallon has better mileage than a car that gets 23 miles per gallon

What is mileage of a car?

The mileage of a car is the number of miles that it can travel using one gallon or litre of fuel.

The first car that gets a mileage of 23 miles per gallon

The second car gets 45 kilometers per gallon

1 mile = 1.6 km

1 km = 1/1.6 mile

45 km = (1/1.6) 45

45 km = 28.125 miles

28.125  miles > 23 miles

Therefore,  a car that gets 45 kilometers per gallon has better milegae than a car that gets 23 miles per gallon

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The graph of g(x) is obtained by shifting up the graph of f(x) by 15 units.

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Simplify

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

4

√

17

Decimal Form:

16.49242250

Hope this helped

can i be marked as brainliest

Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

The composition of the transformation is (b) A rotation of 90° and then a translation left 2, up 4.

The transformation rule is given as:

r (90, 0) T(−2,4)

The r(90,0) represents a rotation of 90 degrees.

The other part of the transformation rule can be rewritten as:

T(-2,4) => (x - 2,y + 4)

This means a translation right by 2 units and up by 4 units

Hence, the composition of the transformation is (b)

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Answer: left 2

Step-by-step explanation:

Answer:

D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

 f(x) = g(x) for x = 0.5

__

We can find the y-intercepts of the two functions to be ...

 f(0) = -3

 g(0) = -2

We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:

 x = 0.5

Answer:

3 71/100 = 3.71

Step-by-step explanation:

To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71

Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,

3 71/100 = 3.71

im not quite sure how to explain it, because im a very messy worker, but I got 71.75.  If youre looking for someone to explain it, im not it lol.

Answer:

264sq feet

Step-by-step explanation:

because you only need to cover the top you multiply 22 x 12 to get 264 sq feet

Answer:

x=6

Step-by-step explanation:

The dot isn’t shaded so > or <

From -55, it’s showing small than

From -49, it’s showing greater than

x < -55 or x > -49

Answer:  x < -55 or x > -49

Step-by-step explanation:

x < -55 or x > -49

They both start with an opened circle, and also these two opened circle dots do not connect to each other. On the left side, the number is going from -55 to the smaller side, -57 or less, so we can say that x is smaller than -55. On the right side, the number goes from -49 to the bigger number, we can say that x is greater than -49.

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

1) are equal (congruent), are opposite from each other

2) (11y-36)= 63.

3) Add 36 to both sides.

11y = 99. Divide both sides by 11.

Y = 9

4) Next to each other, No numerical relationship

Step-by-step explanation:

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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Answer:

Step-by-step explanation:

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

Let the parts be x, y and z

As per given we get below system of equations:

Substitute 0.1x + 0.2y in the second equation:

Now we have:

and

Multiply the second equation and then subtract the first one:

Then

So the parts are:

Answer:

A) P(X>275) = 0.01

B) P(230<M<260) = 0.99

Step-by-step explanation:

We have a normal distribution with mean: 240 calories and standard deviation: 15 calories.

To find the probability that an individual doughnut for this brand contains more than 275 calories, we calculate the z-score for X=275 in this normal distribution, and then calculate the probability for this z-score with the standard normal distribution:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{275-240}{15}=\dfrac{35}{15}=2.33\\\\\\P(X>275)=P(z>2.33)=0.01\)

In the case we are talking about a sample mean, we use the standard deviation of the sample distribution.

The standard deviation for the sample means is equal to the standard deviation of the population divided by the square root of the sample size (in this case, n=12). The mean of the sampling distirbution is expected to be equal to the population mean.

\(\mu_s=\mu=240\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{15}{\sqrt{12}}=\dfrac{15}{3.4641}=4.33\)

We have to calculate the probability that this sample mean is within 230 and 260.

\(z_1=\dfrac{M_1-\mu}{\sigma}=\dfrac{230-240}{4.33}=\dfrac{-10}{4.33}=-2.309\\\\\\z_2=\dfrac{M_2-\mu}{\sigma}=\dfrac{260-240}{4.33}=\dfrac{20}{4.33}=4.619\\\\\\P(230<M<260)=P(z<4.619)-P(z<-2.309)\\\\P(230<M<260)=1-0.01=0.99\)

The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

123

Step-by-step explanation:

The given function is :

\(f(x)=3x^2 - 11x - 21\)

We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :

\(f(9)=3(9)^2 - 11(9) - 21\\\\=243-99-21\\\\=123\)

So, the value of f(9) is 123.

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

The correct answer is 85 points in each contest

Explanation:

To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.

In the first five contests, she obtained 68 points average

5 x 68 = 340 points in the first five contests

In the three following contests, she obtained 80 points on average

3 x 80 = 240 points

Now, let's add the points and find how many points she is missing to reach 750 points

340 + 240 = 580

750 - 580 = 170

Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.

170 ÷ 2 = 85 points

Maddie needs to get 85 points on average to complete her goal of 750 points

66*0.5=3.30

7.80-3.30=4.50

4.50/0.10=45

ANSWER: 45 dimes

Answer:

Step-by-step explanation:

You want to identify the graphs that go with each of these functions, along with a particular point on the curve.

The equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.

In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.

The line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.

The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).

Equation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).

The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'

Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).

Equation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).

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