Find the area of a 60 degree sector with radius 10

Step-by-step explanation:

let speed of freight train be x

speed of passenger train = x+6

Passenger train distance = 280 miles

freight train 250 milesthe times taken for these distances is the same

280/(x+6)=250/x

280x=250(x+6)

280x=250x+1500

30x = 1500

x= 50 mph the speed of freight train.

x+6= 50+6 = 56mph = speed of passenger train.

Answer:

The answer is (a²+1)(2a+1)

Answer:

34

Step-by-step explanation:

3x   -24   =81

      +24  +24

3x            102

/3              /3

x       =      34

Answer:

Your answer would be 105/3 or one hundred five over three.

Step-by-step explanation:

I took the test and got it correct. :)

First, we are going to calculate the area of the semicircle.

The area of a circle is given by the following expression:

As in the figure we have a semicircle, we have to divide the value of the Area by 2,

Now we have to calculate the area of the trapezoid,

Now we add both values, area of the semicircle and area of the trapezoid,

Answer= 65.13 square meters

Approximately 34.87% of the readers surveyed don't use e-readers.

To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):

Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed

Approximate sample proportion = 1954 / 3000 ≈ 0.6513

To express this as a percentage, we multiply the sample proportion by 100:

Approximate sample proportion as a percentage = 0.6513 × 100

= 65.13%

Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.

This means that approximately 65.13% of the readers surveyed use e-readers.

To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:

Percentage of readers who don't use e-readers = 100% - 65.13%

= 34.87%

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Answer:

B

Step-by-step explanation:

True for all x.

Answer:

18 Dollars

Step-by-step explanation:

180 X .10 = 18 dollars of discount

180-18= 162 is the total of what she paid for the dress

I hope this helped you

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Answer:

concave up

Step-by-step explanation:

there is no negatives in the equation (in front of x-value)

Answer:

19(1+5)

Step-by-step explanation:

The gcf is 19..so divide 19 on both numbers and then factor

a. Slope of RS = \(-\frac{7}{5}\) and slope of adjacent to RS =  \(-\frac{5}{7}\)

b. Length of RS  = \(\sqrt{74}\) and Length of adjacent to RS = \(\sqrt{74}\)

c. The parallelogram PQRS is Rhombus.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

\(Slope = \frac{(y_{2} -y_{1})}{(x_{2} -x_{1})}\)

a. for the points R (-6, 6) and S (-1, -1)

Slope of RS = \(\frac{-1 - (+6)}{-1 - (-6)}\) = \(-\frac{7}{5}\)

Slope of RS = \(-\frac{7}{5}\)

Slope of adjacent side (RQ, SP) to RS = \(\frac{6-1}{-6-1}\) = \(\frac{5}{-7}\)

Slope of adjacent to RS =  \(-\frac{5}{7}\)

b. Length of a line = \(\sqrt{({x_{2}-x_{1})^{2} } + ({y_{2}-y_{1})^{2}}\)

points R (-6, 6) and S (-1, -1)

Length of RS = \(\sqrt{({-1- (-6))^{2} } + ({-1-6})^{2}}\) = \(\sqrt{74}\)

Length of RS  = \(\sqrt{74}\)

Length of adjacent to RS = \(\sqrt{({-6- 1))^{2} } + ({6-1})^{2}}\) = \(\sqrt{74}\)

Length of adjacent to RS = \(\sqrt{74}\)

c. All sides are equal

PQ=QR=RS=SP=√74

So, diagonal PR = \(\sqrt{({-6- 6))^{2} } + ({-6-6})^{2}}\) = \(12\sqrt{2}\)

and  diagonal QS = = \(\sqrt{({-1- 1))^{2} } + ({-1-1})^{2}}\) = \(2\sqrt{2}\)

Diagonals are unequal then parallelogram PQRS is Rhombus.

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The smallest number by which to divide 6075 to make it a perfect square is 3

From the question, we are to determine the smallest number by which to divide the given number to make is a perfect square

The given number is 6075

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. That is, a number that can expressed as n², where n is an integer.

The given number cannot be divided by 2 without given a remainder.

Divide the given number by 3

6075 / 3 = 2025

NOTE:

2025 = 45 × 45 = 45²

Thus, 2025  is a perfect square

Hence, the smallest number by which to divide 6075 to make it a perfect square is 3

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Answer:

2

Step-by-step explanation:

Please mark me brainliest! :)

Answer:

I believe its 2. 2 is the distant from -2 and 0

The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

Generally,  is  mathematically given as

\($H \rightarrow(n, m)$\)

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)

\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)

In conclusion, P(x=4)=0.00085

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Answer:

25 cents per lemon

Step-by-step explanation:

Simply divide

Answer:

See below

Step-by-step explanation:

When solving real world problems relating to unit price, divide the cost by the amount.

2.5/10

The unit price is 0.25.

-hope it helps

Answer:

2,645

Step-by-step explanation:

I hope this helps and you really are smart

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:  x < -9

Step-by-step explanation:

-8x > 72          

x < -9      when dividing a negative number in an inequality, change the sign to opposite.

the number are less than -9.

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer: $50

Step-by-step explanation:

Rounding the numbers, you get 70-20, which equals $50

Answer:

just cut it into two rectangles

Step-by-step explanation:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

a)  0.128

b)  0.049152

Step-by-step explanation:

a) first strike comes on the third well drilled

=> two non-strikes and a strike

P = (0.8)^2 * (0.2)

= 0.128

b) third strike comes on the seventh well drilled

=> two strikes in first six wells and a strike in seventh

P = 6C2 * (0.2)^2 (0.8)^4 * (0.2)

= 0.049152

Answer:

299

Step-by-step explanation:

Each term adds 8 to the previous term

  an = a1 + (n-1) * 8

  38th = 3 + 37 * 8 = 299

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

80

Step-by-step explanation:

V = s^3

V = 5^3 = 125

125 - 45 = 80

She needs 80 more unit cubes.

Answer:

Step-by-step explanation:

8n - 9 = 7

8n = 16

n = 2

Answer:

x+12

Step-by-step explanation:

(0+c)+12

0+c+12

c+12+0

c+12

Hope this helps plz hit the crown :D

The problem to solve is:

(0+c)+12

0+c evaluates to +c

0 + 12 = 12

The answer is 12+c

(0+c)+12 evaluates to 12+c

The final answer is

12+c