what is the quotient of 60,976 divided by 74

The temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

After one week, the temperature decreased by 46.8° with a

percent change of 72%.

let,

the temperature at the beginning of the week = x

so, we get,

x= 46.8/72*100

 =65

i.e. the temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

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hjdjenenenwnwnwmemkwksksjsj

Answer:

X=3

Step-by-step explanation:

2/3*(3x+6)=10

2x+4=10

X=6/2

x=3

Answer:

a= 16

b= -8

c= 6

d= -16

e= -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A= 16 degrees

B= -8 degrees

C= 6 degrees

D= -16 degrees

E= -4 degrees

Answer:

5500 meters

Step-by-step explanation:

Convert 5.5 km to meters= 5500meters

Find distance of Jane's house to the creek= 11000 meters

Subtract both distances= 11000-5500= 5500 meters

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Suppose you have 8 books at home and you want to make a selection of 4 out of those books for your vacations.

To decide if this situation involves permutations or combinations, we must recall that:

* A permutation is required when the order of appearance of the elements is important

* A combination is required when the order of appearance of the elements is not important

If you take 4 books at random from your 8 books available, you must ask yourself: Does the order in which I select them is important?

We usually don't bother if book A is after book B in our collection, so the common situation does not require us to bother with the order of appearance, so we should use combinations.

Answer: I believe that, at that specific rate, it will take Suzanne 100 hours to drive 4,000 miles.

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

cpiom t

Step-by-step explanation:dede

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer to \(2^{5} *3^{2} *5\) is 1440.

I believe she is correct because 1440 can be divided by another number without any remainders.

The equation that models the zombie population is the one in option D.

\(y = 50*(2)^{x/4}\)

We know that the zombie population will be described by an exponential equation, these are of the form:

\(y = A*(b)^{kx}\)

Where A is the initial population, in this case we know that:

A = 50

b is the rate of growth, we know that the population is doubled every 4 days, so:

b = 2

And k is a factor that is defined by in how many days the population is doubled, here we know that the population is doubled every 4 days, then k = 1/4

And the population equation is.

\(y = 50*(2)^{x/4}\)

So the correct option is D.

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The ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse of the triangle.

In other terms, in a right triangle, the cosine of an angle equals the neighboring side divided by the hypotenuse: In addition, cos A = sin B = b/c. As a result, the complete forms of sin, cos, sec, cosec, tan, and are sine, cosine, secant, cosecant, tangent, and tangent, respectively. Make corrections. 11. Solve.

The horizontal component is calculated by multiplying F by the cosine of the angle formed by F and d. In this sense, the cosine theta in the work equation is related to the cause factor; it determines the fraction of the force that produces a displacement.

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Answer:

11/4     0.75    60%    1/2     0.2

Step-by-step explanation:

Given

11/4  0.2   60%   0.75   1/2

Required

Order from largest to smallest

Convert all numbers to decimal

\(11/4 = 2.75\) ; \(60\% = 0.60\) and \(1/2 = 0.50\)

So, the numbers are:

2.75    0.2     0.60     0.75     0.50

From largest to least, we have:

2.75    0.75     0.60   0.50   0.2

Convert all numbers back to their original form

11/4     0.75    60%    1/2     0.2

Answer:

24

Step-by-step explanation:

150 x .84 =126 foreign

150-126=24 other stamps

Answer:

0.2

Step-by-step explanation:

θ =  

arctan( ΔY ) + 180°

ΔX

= 168.69006752598°

ΔX = -2 – 3 = -5

ΔY = 6 – 5 = 1

Distance (d) = √ΔX2 + ΔY2 = √26 = 5.0990195135928

Equation of the line:

y = -0.2x + 5.6

or

y =  

- 1 x

5

+  28

5

When x=0, y = 5.6

When y=0, x = 28

Answer:

-0.2

Step-by-step explanation:

goodluck:)

By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).

In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:

C'(x, y) = 3 · C(x, y)

Where:

If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:

C'(x, y) = 3 · (3, - 5)

C'(x, y) = (9, - 15)

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Answer:

Analysis of variance (ANOVA) is the most accurate to estimate the difference

Step-by-step explanation:

Analysis of variance (ANOVA) is the best statistical method that can be used to determine the systematic difference between the mean values of two given set of population in any random experiment

In this case the two set of populations would be the one in which temperature is measured by thermometers on ground and sensor mounted in a space satellite.  

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Refer to the attachment for the required table:

What is the unit rate?

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

From the table,

For 0 hours, distance = 15 miles

For 1 hour, distance = 80 miles

Difference between distances= 80-15=65 miles

Since it is given that, it is at a constant rate,  for every hour there is an increase of 65 miles in distance.

The completed table is shown in the attachment.

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Answer:

42 M

Step-by-step explanation:

14 =74

8/14 = ?/74

8/14= 0.57

So,

0.57*74 = 42

Answer:

x=42

Step-by-step explanation:

Please see the picture attached. I hope this helps!

Answer:

Both sides are equal.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if you can actually see the graph the numbers go up by six.

6, 12, 18 and so on all the way to 6 x 5 which is 30 on the chart then you visualize off of the chart trying 6x6 6x7 6x8 and 6x9 until you get the answer of 54 the money price.  

Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

Answer:

12cm

Step-by-step explanation:

This is a problem which can be solved with the pythagoras therom.

\(a^{2} +b^{2} =c^{2}\)

Plus we can split this triangle into two triangles.

The split triangle has dimensions of 13(bc) by 5 cm(dc).\(a^{2} +b^{2} =c^{2}\)

\(5^{2} +b^{2} =13^{2}\)

Now we solve for b which is the lenght of bd

\(25 +b^{2} =169\)

\(b^{2} =144\)

\(b = \sqrt{144}\)

\(b = 12\)

Therefore the lenght of bd is 12cm

Hope this helps! :)

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)