NEED HELP ASAP PLS AND THX PIC ATTACHED

Answer:

Faster cyclist = 37.5km/h

Slower cyclist = 32.5km/h

Step-by-step explanation:

Let's call the rate of the slower cyclist "r" (in km/h). Then the rate of the faster cyclist is "r+5" (in km/h), since they are traveling 5 km/h faster.

We know that the two cyclists are traveling towards each other and will meet in 2 hours. We can use the formula:

distance = rate × time

Let's call the distance each cyclist travels "d". Since they are traveling towards each other, their distances will add up to the total distance between the two towns, which is 130 km. So we can write:

d + d = 130

2d = 130

d = 65

Now we can use the formula again to find the rates of the two cyclists:

For the slower cyclist:

distance = rate × time

65 = r × 2

r = 32.5 km/h

For the faster cyclist:

distance = rate × time

65 = (r+5) × 2

r+5 = 32.5 + 5 = 37.5 km/h

So the rate of the slower cyclist is 32.5 km/h, and the rate of the faster cyclist is 37.5 km/h.

Answer:

The answer to your problem is, [tex]ft^3[/tex]

Step-by-step explanation:

In the problem we will use the area formula:

l × w × h

Multiply:

16.5 × 12 × 5 = 990

We look at the options:

990 [tex]ft^3[/tex] is in Option D.

Thus the answer to your problem is, 990 [tex]ft^3[/tex]

well, let's read the Set Builder

the variable "x", where "x" is greater than or equals to 2

Oh by the way "x" is also less than or equals to 2

hmmm what the heck?  how can "x" be greater than 2 and at the same time be less than 2?  well, that's kinda like a logical collision, so we can conclude that "x" is neither less than or greater than 2, but another condition is that it could be equal to 2, since the other two collided, the only conclusion is that "x" must be equal to 2.

Answer:

Step-by-step explanation:

To divide 18 by 5.5, we can use long division method as follows:

       _________

   5.5 | 18.0000

       -16.5

       ------

        1.5

We first divide 5.5 into the first digit of 18, which is 1. This gives us 0 as the whole number part of the quotient. We then multiply 0 by 5.5 to get 0, and subtract it from 1, which gives us 1.

We then bring down the next digit 0 and get 10. We then divide 5.5 into 15, which gives us 2 as the whole number part of the quotient. We then multiply 2 by 5.5 to get 11, and subtract it from 15, which gives us 4.

We then bring down the next digit 0 and get 40. We then divide 5.5 into 40, which gives us 7 as the whole number part of the quotient. We then multiply 7 by 5.5 to get 38.5, and subtract it from 40, which gives us 1.5.

Since there are no more digits to bring down and the remainder is less than the divisor 5.5, we can stop here. Therefore, the result of 18 divided by 5.5 is approximately 3.27, which we get from the quotient of 0.327 rounded to two decimal places.

So 18 divided by 5.5 is approximately 3.27 or 3.27 to two decimal places.

Answer:

3.27 to 2dp

Step-by-step explanation:

18÷5.5

18/1×11/2

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

now, taking a peek at the picture above, let's notice, the pyramid is really just 4 triangles, three standing up and one lying down.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{triangles standing up} }{3\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{7}) \right]}~~ + ~~\stackrel{ \textit{triangle lying down} }{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{4.3})}}\implies 52.5+10.75\implies \text{\LARGE 63.25}~yd^2[/tex]

Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year.

Blueland's real exchange rate with Redland decreased by 13.3% from last year to this year.

The nominal exchange rate is ratio at which one currency can be exchanged for another. The real exchange rate account for changes in the inflation rate between two countries and provides accurate picture of the purchasing power of the currencies.

Here, Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year, as the blue decreased in value relative to the red.

But Blueland's real exchange rate with Redland decreased by only 13.3%, as Blueland's inflation rate was higher than Redland's inflation rate which means Blueland's goods became relatively more expensive compared to Redland's goods.

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The measure of the arc angles CA and AD are 216° and 46° respectively, while the angle m∠C is equal to 36°.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

Diameter BD bisects the angle m∠ABC and the triangles BQC and BQA are identical isosceles triangles so;

m∠QBC = 72/2 = 36°

m∠BQC = 180 - 2(36)°

m∠BQC = 108, also m∠AQB = 108° so;

arc angle CA = 2(108)° = 216°

arc angle CD = arc angle AD so;

arc angle AD = 46°

angles m∠QBC and m∠BCQ are base angles of an isosceles and they are equal so;

m∠C = 36°

Therefore, the measure of the arc angles CA and AD are 216° and 46° respectively, while the angle m∠C is equal to 36°.

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The area of the triangle MNO is 14.7 sq cm and the shortest altitude is 2.1 cm

From the question, we have the following parameters that can be used in our computation:

MN = 5 cm, NO = 6 cm and MO = 7 cm

So, we have

s = 1/2 * (5 + 6 + 7)

Evaluate

s = 9

The area is then calculated as

Area = √[s(s - MN)(s - NO)(s - MO)]

Substitute the known values in the above equation, so, we have the following representation

Area = √[9 * (9 - 5)(9 - 6)(9 - 7)]

Evaluate

Area = 14.7

Also, we have

Shortest altitude = 14.7/7

Shortest altitude = 2.1

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Answer:

  30°

Step-by-step explanation:

You want the measure of angle AEF in regular hexagon ABCDEF.

The interior angles of a regular hexagon are ...

  180° -(360°/6) = 120°

Angle AEF is 90° less than this, so is ...

  angle AEF = 120° -90°

  angle AEF = 30°

__

Additional comment

Angle AEF is also a base angle of isosceles triangle AEF, which has angle F = 120°. The base angles are (180° -120°)/2 = 30°.

Darrion ran a total distance of 38 3/4 miles in 10 days.

We have,

To find the total distance Darrion ran in 10 days, we need to add up the distance he ran in the first five days and the distance he ran in the next five days.

Distance ran in the first five days

= 3 1/2 miles per day x 5 days

= 17 1/2 miles

Distance ran in the next five days

= 4 1/4 miles per day x 5 days

= 21(1/4) miles

Total distance Darrion ran in 10 days

= Distance ran in the first five days + Distance ran in the next five days

= 17 1/2 miles + 21 1/4 miles

= 38 3/4 miles

Therefore,

Darrion ran a total distance of 38 3/4 miles in 10 days.

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Answer:

Yes, it is possible to have a function f:A→B with an element b∈B so that f does not assign any element to b. This happens when b is not in the range of f 1.

I hope this helps!

The edge length of one cube-shaped box used to store canned goods is 2 feet.

The surface area of a cube-shaped box is given as 24 square feet. Let's assume that the length of each edge of the cube is 'a'.

The surface area of the cube is given as 6a² since a cube has 6 faces, each with an area of 'a²'.

We are given that the surface area of one box is 24 square feet. Therefore,

6a² = 24

Dividing both sides by 6, we get

a² = 4

Taking the square root of both sides, we get:

a = 2

Therefore, the edge length of one box is 2 feet.

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Answer:

28 KG

Step-by-step explanation:

To find the smallest possible weight, we need to consider the possible range of weights for each suitcase based on the rounding.

The 12 kg suitcase could actually weigh anywhere from 11.5 kg to 12.4 kg (since rounding to the nearest kg means it could be as low as 11.5 kg or as high as 12.4 kg, with 12 kg being the nearest whole number).

The 17 kg suitcase could actually weigh anywhere from 16.5 kg to 17.4 kg.

To get the smallest possible total weight, we want to add the lowest weights of each suitcase:

11.5 kg + 16.5 kg = 28 kg

Therefore, the smallest possible amount that the two suitcases could weigh in total is 28 kg.

Answer:

0125

Step-by-step explanation:

The answer is equal to 0125

When the number of milligrams reaches 11, the drug is to be injected again. We need approximately 6.7 hours between injections.

The given function is D(h)=30[tex]e^{-0.35h[/tex], which gives the number of milligrams D(h) of the drug in the patient's bloodstream h hours after it is injected.

When the drug is injected again, the number of milligrams in the bloodstream will be 11. Therefore, we need to find the value of h that satisfies the equation:

11 = 30[tex]e^{-0.35h[/tex]

To solve for h, we can first divide both sides by 30:

11/30 = [tex]e^{-0.35h[/tex]

Next, we take the natural logarithm of both sides:

ln(11/30) = ln([tex]e^{-0.35h[/tex])

Using the property of logarithms that ln(eˣ) = x, we can simplify the right side:

ln(11/30) = -0.35h

Finally, we can solve for h by dividing both sides by -0.35 and multiplying by -1:

h = (-1/0.35)ln(11/30)

Using a calculator, we get:

h ≈ 6.7

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The point of intersection of the lines modelled by the equations y=-3x + 4 and y=x-4 as required is; (2, -2).

It follows from the task content that the point of intersection of the lines is to be determined.

Since the given equations are;

y = -3x + 4 and y = x - 4

First, equate y to y so that we have;

-3x + 4 = x - 4

-4x = -8

x = 2.

To determine the value of y, substitute x = 2 into y = x - 4

y = 2 - 4; y = -2.

Ultimately, the point of intersection of the two lines as an ordered pair is; (2, -2).

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The simplified value for the vectors  u = (-6, 4) and w= (-4, -6) in the expression v = u + 4w is equal to v = (-22, -20).

Vectors are ,

u = (-6, 4)

and w= (-4, -6).

To find the vector v = u + 4w,

we need to multiply the vector w by 4 and add it to the vector u component-wise,

v = u + 4w

Substitute the value of the vectors we have,

= (-6, 4) + 4(-4, -6)

Now, add component wise vector  we get,

= (-6, 4) + (-16, -24)

= (-6 - 16, 4 - 24)

= (-22, -20)

Therefore, the value of the vectors v = u + 4w is equals to v = (-22, -20).

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Answer:

[tex] 36 < 47 < 49[/tex]

[tex] \sqrt{36} < \sqrt{47} < \sqrt{49} [/tex]

[tex]6 < \sqrt{47} < 7[/tex]

√47 is approximately 6.9

The zeros of a polynomial function are given as,

x= 1 , x= 2, x= 3 and x= -3

Let the polynomial in standard form be,

y = ( x- 1)(x - 2)(x - 3)(x +3)

⇒ y = (x² - 2x - x +2)( x² - 3x +3x - 9)

⇒ y = (x² - 3x +2)(x² - 9)

⇒ y = x⁴ - 9x² - 3x³ + 27x + 2x² - 18

⇒ y = x⁴ - 3x³ -7x² + 27x  -18

Hence option c is the correct answer.

The given cubic equation is ,

x³ +6x² +11x +6 = 0

Calculating its roots we get,

x³ +6x² +11x +6 = 0

⇒ (x +1)( x+2 )(x+ 3) = 0

Thus the roots are -1, -2, and -3

Hence all the roots are real and are of different values.

Hence option d is the correct option.

The given radical expression can be simplified as,

[tex]\sqrt[4]{625 x^8 y^{12} }[/tex] = 5[tex]x^{2} y^3[/tex]

Hence option a is the correct option.

We can simplify the given expression as,

[tex]27^{1/3}[/tex] = ∛27 = ∛(3³) = 3

Hence option d is the correct option.

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When about 60.2 liters of fuel are added to each car, the two vehicles will have the same mass.

Let x be the number of liters of fuel needed for the two vehicles to have the same mass.

The first vehicle's total mass with fuel is: 1295 + 0.737x

The total weight of the second vehicle with gasoline is: 1290 + 0.820x

We want the two masses to be equal so that we may equalize the two expressions and solve for x:

295 + 0.737x = 1290 + 0.820x

0.083x = 5

x = 60.24

Therefore, the two vehicles will have the same mass when approximately 60.2 liters of fuel have been added to each vehicle.

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The surface area of the rectangular prism is 2600 square inches.

Surface area is the total area that the surface of a 3-dimensional object covers. In order to find the surface area of a rectangular prism, we need to find the area of each of its faces and add them together.

The rectangular prism in question has dimensions of 23 inches by 8 inches by 18 inches. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.

Therefore, the surface area of the rectangular prism can be calculated as:

Area of top and bottom faces = 2 * (23 in. * 8 in.) = 368 square inches

Area of front and back faces = 2 * (18 in. * 8 in.) = 288 square inches

Area of left and right faces = 2 * (23 in. * 18 in.) = 828 square inches

Total surface area = 368 + 288 + 828 = 2600 square inches

Correct Question :

what is the surface area, in square inches, of the rectangular prism formed by folding the net below?

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There is no solution from the given matrix equation.

In a two by two matrix equation system, two matrices can be multiplied if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix. It implies that the first matrix is 2×2 and the second matrix is 2×1.

Given that:

[tex]\left[\begin{array}{cc}6&4\\9&6\end{array}\right] \left[\begin{array}{c}x\\y \end{array}\right] = \left[\begin{array}{c}1 \\ 3 \end{array}\right][/tex]

We multiply each row in the first matrix by each column in the second matrix, so we get:

[tex]\left[\begin{array}{c}6x+4y\\9x+6y\end{array}\right] = \left[\begin{array}{c}1 \\ 3 \end{array}\right][/tex]

Then, we can express it as a system of linear equations:

6x + 4y = 1 --- (1)

9x + 6y = 3 --- (2)

Here, we decided to use the substitution method to solve the system of equations.

From equation (1)

x = 1/6 - 2y/3

Replace the value of x into equation (2) and solve for y, we get:

9(1/6 - 2y/3) + 6y = 3

By solving it, we get:

3/2 = 3

Thus, since 3/2 = 3 is not a true solution, then we can conclude that there is no solution.

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The value of the integration is -ln|sin x - cos x| - √2 ln|sin x - cos x| - √2 ln 2

We have,

∫√(2 + cos²x)/(sec x - cosec x)

We can start by simplifying the integrand by using trigonometric identities.

sec x = 1/cos x and cosec x = 1/sin x.

So,

√(2 + cos²x)/(sec x - cosec x)

= √(2 + cos²x) / [(1/cos x) - (1/sin x)]

= √(2 + cos²x) / [(sin x - cos x) / (sin x cos x)]

= √[(2 + cos²x) sin x cos x] / (sin x - cos x)

= √[2 sin x cos x + cos⁴ x] / (sin x - cos x)

= √[sin² x + cos² x + 2 sin x cos x + cos⁴ x] / (sin x - cos x)

= √[(sin x + cos² x)²] / (sin x - cos x)

= (sin x + cos² x) / |sin x - cos x|

The absolute value sign is needed because the denominator, sin x - cos x, can be negative for certain values of x.

Now we can integrate this expression:

∫√(2 + cos²x)/(sec x - cosec x) dx

= ∫(sin x + cos² x) / |sin x - cos x| dx

We can split this integral into two cases: when sin x - cos x > 0, and when sin x - cos x < 0.

Case 1:

sin x - cos x > 0 (when x is between -π/4 and π/4, or between 3π/4 and 5π/4)

In this case, we can drop the absolute value sign:

∫(sin x + cos² x) / (sin x - cos x) dx

= ∫(sin x / (sin x - cos x)) dx + ∫(cos² x / (sin x - cos x)) dx

= -ln|sin x - cos x| - ∫(1 + sin 2x) / (2sin x - 2cos x) dx

To integrate the second term, we can use the substitution u = sin x - cos x, so that du/dx = cos x + sin x and dx = du/(cos x + sin x):

∫(1 + sin 2x) / (2sin x - 2cos x) dx

= ∫(1 + 2u / √2) / (2u / √2) du

= -√2 ln|2sin x - 2cos x| - √2 ln|u| + √2 [tex]tan^{-1}[/tex] (u / √2) + C

= -√2 ln|2(sin x - cos x)| - √2 ln|sin x - cos x| + √2 [tex]tan^{-1}[/tex] [(sin x - cos x) / √2] + C

= -√2 ln|sin x - cos x| - √2 ln 2 + √2 [tex]tan^{-1}[/tex] [(sin x - cos x) / √2] + C

= -ln|sin x - cos x| - √2 ln|sin x - cos x| - √2 ln 2

Note that we have used the logarithmic identity ln(ab) = ln a + ln b and the substitution u = sin x - cos x.

Thus,

The value of the integration is -ln|sin x - cos x| - √2 ln|sin x - cos x| - √2 ln 2

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Answer:18 wings

Step-by-step explanation: 28.50 divided by 15 is 1.9 so if you do 1.9 x 18 you get 34.2

Answer:

18 wings

Step-by-step explanation:

Use a proportion.

15/$28.5 = x/$34.2

28.5x = 15 × 34.2

28.5x = 513

x = 18

Answer: 18 wings

The value of b for this line is 3.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided about this line, it has a slope of -3 and passes through the point (1, 0);

y = mx + b

0 = -3(1) + b

b = 3.

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The value of c in the given diagram would be 10. 83.

From the diagram we see that when C is subtracted by 5 and then multiplied with this value 6 times, we get the value of 35.

In other words:

6 ( C - 5 ) = 35

Showing that when C - 5 is multiplied by 6, we get the value of 35.

Therefore, solving gives:

6 C - 30 = 35

6 C = 35 + 30

6 C = 65

C = 65 / 6

C = 10. 83

In conclusion, the value of C is 10. 83.

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