Rita does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 11 hours. She spends at most 7 hours on weight training. She spends at most 8 hours doing cardiovascular work. Let y denote the time (in hours) that Rita spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of y and y that satisfy these requirements

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Answer:

its B... i think(sub2pewdiepie)

Step-by-step explanation:angle 4 is 100 degrees and 4 and 8 are corresponding

Step-by-step explanation:

angle 4 =angle 8(corresponding angle )

The solution to the equation 3(4x-10) = 2(3x-30) is x = -5.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Let's solve for x:

3(4x - 10) = 2(3x - 30)

First, we can simplify both sides by distributing the coefficients:

12x - 30 = 6x - 60

Next, we'll move all the x terms to one side of the equation and the constants to the other side:

12x - 6x = -60 + 30

Simplifying further:

6x = -30

Finally, we can solve for x by dividing both sides by 6:

x = -5

Therefore, the solution to the equation 3(4x-10) = 2(3x-30) is x = -5.

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Answer:

85/3.5 = 17/0.7 = 24.29  pieces of ribbon .

Step-by-step explanation:

you bounce your check which whoever written it to won't receive the money

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer:

here is the ratio  1 : 1.25   (sharks: dolphins)

Step-by-step explanation:

The ratio of sharks to dolphins is 4 : 5

Suppose the  real measurements were "a" and "b"

This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Given Number of sharks = 4

Number of dolphins = 5

Therefore, the ratio of sharks to dolphins

= 4 : 5

Or  1 : 1.25

Number of animals = number of sharks + number of dolphins

Number of animals = 4 + 5 = 9

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

The Population parameter is population mean i.e μ. The Interpretation of 90% confidence that population mean i.e μ lies between 116.8 and 149.2.

We have, a Normalised average amount of time, in minutes, data for students to complete a standardized test.

Sample size, n = 49

Significance level, = 90% = 0.90

Confidence interval is range of values. It is calculated by below formula, confidence interval,

CI = Mean ± Z( standard deviations/sample size)

but we have, the 90% confidence interval is equals to [116.8,149.2]. The population is a large set and it is deficult to work on population, so sample subsets of it are considered for observation. Population parameter is population mean. The interpretation from provide informations about 90% of confidence interval is that population mean lie between 116.8 and 149.2, i.e., 116.8 ≤ μ ≤149.2.

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

2.8

Step-by-step explanation:

We can rewrite the equation of the line as x+y-4=0.

So, the distance is

\(\frac{|(1)(4)+(1)(-4)-4|}{\sqrt{1^2+1^2}} \approx 2.8\)

The table with the correct values for A, B and C is given as follows:

Black 9 36 63 90

White 13 52 91 130

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Then the constant k is obtained as follows:

91 = 63k

k = 91/63

k = 13/9.

Hence the equation is:

y = 13x/9.

Hence the values are given as follows:

Hence the first table is correct.

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Answer:

2) +20

4) +14

5) -100

6) -17

7) 10

8) -9

9) -8

10) +11

Step-by-step explanation:

look at the words and it will tell you whether it's positive or negative

ex. one hundred feet below sea level- it says below which means you would be going down

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Initial liquid volume is x.

3/4 of the liquid was removed:

Then 1/2 quarts added, the expression including the addition is:

Simplify to get equivalent expression:

Work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

To calculate a pie chart, first, categorize the data and calculate the total.

Each slice of the pie chart represents a numerical value and has a size proportional to the value.

The sum of all the data is equal to 360°, with the total value always being 100%.

To find the percentage for each slice of the pie chart, divide the categories by the total and convert them into percentages.

Finally, calculate the degrees using the formula (Given Data/Total value of Data) × 360°.

For example, let's say we have data on sleep, work, family care, personal care, and leisure, with a total of 168 hours.

To find the percentage for each category, we can use the following calculations:

Therefore, work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

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The monthly payment for purchasing the home will be $457.85.

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

Then the formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

In order to purchase a home, a family borrows $110,000 at 2.9% for 30 years.

We have

P = $110,000

r = 0.029 / 12 = 0.0024

n = 30 × 12 = 360

Then the monthly payment will be

\(\rm MP = 110,000\times \dfrac{0.0024(1+0.0024)^{360}}{(1+0.0024)^{360} - 1}\\\\\)

On further solving, we have

MP = 110000 × 0.0024 × 1.723

MP = $ 457.85

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Answer:

x=30°

Step-by-step explanation:

3x-10=2x+20

3x-2x=20+10

x = 30°

just x, no y in the photo

Answer:

Step-by-step explanation:

The first thing you need to do, is find the total amount of gorillas.
to do this, you are going to use the equation:

24 + g = 7g

Both sides are equal, since the wallabies and the buffalo are equal. This makes the equation true.
you subtract g from 7g, and you should get:

24= 6g

Divide by six:

4 = g  

That is the # of gorillas.

Now, if you add 24 + 4

You get the # of buffalo.

Which is: 28

Since the buffalo and wallabies are the same, the # of wallabies is also 28.
if you want to check, multiply 4x7 to get the amount of wallabies.

Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).

The signal rules for the quadrants of a point (x,y) are as follows:

In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).

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Answer:

The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.

The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).

Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.

Answer:

28 children tickets

Step-by-step explanation:

$109 for the whole cost

bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee

add them together 25$

109-25 =84

84/3 =28

The measure of angle D in the given parallelogram, is 127° on the basis of the fact that the 360° is the angle sum property of any four sided quadrilateral.

what is parallelogram?

A four-sided polygon or quadrilateral with two pairs of sides  parallel is known as a parallelogram. The opposing sides must be equal and congruent. Four edges and four corners make up a parallelogram. A parallelogram is a two-dimensional shape having parallel, equal-length sides on two matching pairs of its opposite sides. The angles inside the two sides of the shape must sum up to 180°, which means that they must add up to 360° overall. It has parallel and equal sides on either side. It has equal opposite angles. Its diagonals cut each other in half.

Given that ∠A= (13x - 25)° , ∠C=(9x - 1)°

We know that in a parallelogram, the opposite angles are congruent & sum of adjacent angles are 180°

∴∠A = ∠C

(13x - 25)° = (9x - 1)°

13x - 9x = -1 + 25

        4x = 24

          x = 6

∠A= (13x - 25)°

    = 13(6) -25

    = 78 - 25

∠A = ∠C = 53°

As ∠A & ∠D are adjacent angles,

∠A + ∠D = 180°

53° + ∠D = 180°

         ∠D = 180° - 53

          ∠D = 127°

∴The measure of angle D in parallelogram ABCD=127°

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Answer:

x + 2x + 3 + x + 2 = 45

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that

The first value is x.

The second is y.

The third is z.

The sum of three numbers is 45.

This means that:

x + y + z = 45

The second of the three numbers is three more than twice the first number x:

This means that:

y = 3 + 2x

The third number is two more than the first number x:

This means that:

z = 2 + x

Replacing in the first equation:

x + y + z = 45

x + 3 + 2x + 2 + x = 45

x + 2x + 3 + x + 2 = 45

Answer:

it is correct I think it's right

Step-by-step explanation:

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer:

Mike

Step-by-step explanation:

Mike is the traveling faster.