Triangle XZ is translated 4 units up and 3 units left to yield urz. What is the distance between any two corresponding points on 2 and
DRYZ?
OA 7 units
OB √nts
OD. 25 units

Answer:

5

Step-by-step explanation:

Answer:

5 is the right answer...I hope this helps you :)

Explanation:

The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.

The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.

The ratio is 17.14 cubic inch per orange and 168 oranges for given dimensions.

In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.

The amount required to fill an object can be determined by finding its volume, for example, how much water is required to fill a bottle, aquarium, or water tank.

Given

dimensions of box 20 x 13 x 12, 12 x 12 x 12 and 20 x 10 x 6

volume of box 1 = 20 x 13 x 12 = 3120 cubic inches

volume of box 2 = 1728 cubic inches

volume of box 3 = 20 x 10 x 6 = 1200 cubic inch

oranges in box 1 = 96

oranges in box 2 = 53

oranges in box 3 = 37

and radius of  orange  = 32./2 = 1.6 inches

volume of each orange = 4/3πr³

volume of each orange = 4/3(3.14)(1.6)³

volume of each orange = 4/3(3.14)(4.096)

volume of each orange =  17.14 cubic inches

here one orange will cover 17.14 cubic inches.

7. let the dimension of box is 15 x 12 x 16

volume of box is = 15 x 12 x 16 = 2880 cubic inches

the number of oranges in box will be 2880/17.14 = 168 oranges

Hence there will be 17.14 cubic inch per orange volume is covered, and 168 oranges will be in box for given dimensions.

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Question 7 is incomplete the missing dimensions are 15 x 12 x 16.

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Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

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

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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Answer:

237+496= 733

600-321= 279

993-294= 699

Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Answer:

  7. P(q) = 60 -0.03(x -80)²

  8. P(q) = -0.03x² +4.8x -132

  9. q = 35 balloons

  10. see attached

Step-by-step explanation:

You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.

If the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.

The vertex-form equation will look like ...

  P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'

We want P(50) = 33, so we have ...

  P(50) = 33 = 60 -a(50 -80)²

  33 = 60 -900a

  a = (60 -33)/900 = 3/100 = 0.03

The profit equation is ...

  P(q) = 60 -0.03(q -80)²

Expanding the equation gives ...

  P(q) = 60 -0.03(q² -160q +6400)

  P(q) = -0.03q² +4.8q -132

The profit is zero at ...

  P(q) = 0 = 60 -0.03(q -80)²

  0.03(q -80)² = 60

  (q -80)² = 2000 . . . . . . . . divide by 0.03

  q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80

The store will no longer make a profit when sales drops to 35 balloons.

The attachment shows a graph of the profit function.

__

Additional comment

You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.

Selling 36 balloons will result in a profit of $1.92.

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Answer:

25.13

Step-by-step explanation:

Answer:

\(\displaystyle \frac{17}{2}\).

Step-by-step explanation:

Let the \(x\)-coordinate of \(P\) be \(t\). For \(P\!\) to be on the graph of the function \(y = \sqrt{x}\), the \(y\)-coordinate of \(\! P\) would need to be \(\sqrt{t}\). Therefore, the coordinate of \(P \!\) would be \(\left(t,\, \sqrt{t}\right)\).

The Euclidean Distance between \(\left(t,\, \sqrt{t}\right)\) and \((9,\, 0)\) is:

\(\begin{aligned} & d\left(\left(t,\, \sqrt{t}\right),\, (9,\, 0)\right) \\ &= \sqrt{(t - 9)^2 +\left(\sqrt{t}\right)^{2}} \\ &= \sqrt{t^2 - 18\, t + 81 + t} \\ &= \sqrt{t^2 - 17 \, t + 81}\end{aligned}\).

The goal is to find the a \(t\) that minimizes this distance. However, \(\sqrt{t^2 - 17 \, t + 81}\) is non-negative for all real \(t\!\). Hence, the \(\! t\) that minimizes the square of this expression, \(\left(t^2 - 17 \, t + 81\right)\), would also minimize \(\sqrt{t^2 - 17 \, t + 81}\!\).

Differentiate \(\left(t^2 - 17 \, t + 81\right)\) with respect to \(t\):

\(\displaystyle \frac{d}{dt}\left[t^2 - 17 \, t + 81\right] = 2\, t - 17\).

\(\displaystyle \frac{d^{2}}{dt^{2}}\left[t^2 - 17 \, t + 81\right] = 2\).

Set the first derivative, \((2\, t - 17)\), to \(0\) and solve for \(t\):

\(2\, t - 17 = 0\).

\(\displaystyle t = \frac{17}{2}\).

Notice that the second derivative is greater than \(0\) for this \(t\). Hence, \(\displaystyle t = \frac{17}{2}\) would indeed minimize \(\left(t^2 - 17 \, t + 81\right)\). This \(t\!\) value would also minimize \(\sqrt{t^2 - 17 \, t + 81}\!\), the distance between \(P\) \(\left(t,\, \sqrt{t}\right)\) and \((9,\, 0)\).

Therefore, the point \(P\) would be closest to \((9,\, 0)\) when the \(x\)-coordinate of \(P\!\) is \(\displaystyle \frac{17}{2}\).

ANSWER

a) 18 students per teacher

b) 9 tutors

EXPLANATION

We have that the Arts Academy:

=> requires 4 teachers for every 72 students

=> 3 tutors for every 27 students

a) To find how many students are need per teacher, we have to divide the number of students by the number of teachers.

That is:

72 / 4 = 18 students per teacher

b) To find the number of tutors needed by the Academy, we have that:

3 tutors = 27 students

x tutors = 81 students

Cross multiply:

x * 27 = 3 * 81

=> x = 243 / 27

x = 9

Therefore, 9 tutors are needed for 81 students.

If we make r the subject formula, then the formula would be r = log_h(V/π) + (h/3)

In this question, we have been given a formula V=πh^(r-h/3)

We need to make r the subject formula

This means we need to rewrite formula for r.

V = πh^(r-h/3)

h^(r-h/3) = V/ π

r - h/3 = log_h(V/π)

r = log_h(V/π) + (h/3)

Therefore, if we make r the subject formula, then the formula would be r = log_h(V/π) + (h/3)

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The intercepts of the function are given as follows:

The function for this problem has the definition presented as follows:

P(r) = (r - 4)(r + 5)(r - 3).

The function is written as a product of it's linear factors, hence, according to the Factor Theorem, the roots of the function are given as follows:

The roots are the values of r for which the graph crosses the r-axis, hence the r-intercepts are given as follows:

(4, 0), (-5,0), (3, 0).

For the P-intercept, we must obtain the numeric value of the function at r = 0, hence:

P(0) = (0 - 4)(0 + 5)(0 - 3)

P(0) = 60.

Hence the ordered pair is:

(0, 60).

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Answer:.25

Step-by-step explanation:

there

Answer:

To find the number of integral solutions for x in the given inequality, we can first solve the inequality to find the range of values that x can take on. To do this, we need to isolate the x term on one side of the inequality, so let's start by subtracting 9 from both sides of the inequality:

-69 ≤ 7x + 9 ≤ 49

-9 ≤ 7x ≤ 40

Next, we can divide both sides of the inequality by 7 to isolate the x term:

-9/7 ≤ x ≤ 40/7

The result of this calculation is a range of values for x, but we are looking for the number of integral solutions, which means we need to find the number of whole numbers that x can take on within this range. In this case, we can see that the range of possible values for x is from -1 to 5, and there are 5 whole numbers within this range (-1, 0, 1, 2, 3, 4, 5), so there are 5 integral solutions for x in this inequality.

In general, to find the number of integral solutions for x in an inequality of the form a ≤ bx + c ≤ d, where a, b, c, and d are constants, you can follow these steps:

1.Solve the inequality to isolate the x term on one side, by subtracting c from both sides and then dividing both sides by b. This will give you the range of possible values for x.

2.Count the number of whole numbers within this range to find the number of integral solutions for x.

Step-by-step explanation:

Answer:

\(\angle 1 \cong \angle 7\)

Step-by-step explanation:

We proceed to present which angles corresponds with \(\angle 7\), accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.

Hence, we conclude that \(\angle 1 \cong \angle 7\).

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

it is false because a sphere is basically a three- dimensional circle. It is a polyhedron.

For the given figure of intersecting lines the expression holds is m∠1 + m∠3 + m∠5 = 180°. Option D is correct.

Given that, A figure of the intersecting lines is given where 3 lines intersect at the same point.

The angle can be defined as one line inclined over another line.

A line can be defined by the shortest distance between two points is called a line.

Here,
From the figure
∠1 = ∠4
∠2 = ∠5
So,
∠6 = ∠3
Now, from the option, the property hold is m∠1 + m∠3 + m∠5 = 180°. because m∠1 + m∠6 + m∠5 = 180°, or ∠6 = ∠3.

Thus, for the given figure of intersecting lines the expression holds is m∠1 + m∠3 + m∠5 = 180°. Option D is correct.

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Answer:

I believe it's 486 miles

Step-by-step explanation:

Since she wants to drive 2916 miles in 6 days, it will take 486 miles since 2916/6 is 486

Answer:

13x

Step-by-step explanation:

You add them all up since they're like terms and all have x

Answer:

yeaheeeeeee can i get a yellow pepper :) but the answer is five

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

a+b / c

9+6 /3

15/3 =5

Answer: B) 4/52 * 3/51

Step-by-step explanation:

the probability of drawing the first ace is 4/52 bc there are 4 aces and 52 cards. the probability of drawing the second ace is 3/51 bc there are now three aces ( bc we removed one in the first step) and there are now 51 cards (bc we removed a card in the first step and there is no replacement). combine the probabilities with multiplication because it’s a multistage event