Eight hundred people in Dallas were surveyed about how they get to work. The results are displayed in the graph below.
How many people surveyed take public transportation or bike to work?
A. 240
B. 144
C. 168
D. 304

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

40 cubic units

Step-by-step explanation:

16x 3 = 48

48- 8 is 40

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

Answer:

28

Step-by-step explanation:

area is equal on leng × with, or 36 × w =1008

1008:36 = 28

Answer:

Option A

Step-by-step explanation:

Histogram shows the range of data on the x-axis while the frequency of occurrence is on the y-axis.

We have the following ranges from the Histogram ;

0 to 11

11 to 22

22 to 33

33 to 44

44 to 55

55 to 66

66 to 77

77 to 88

88 to 99

99 to 110

From the given set of data, the frequency according to the range is as follows;

0 to 11; 4

11 to 22; 8

22 to 33; 7

33 to 44; 6

44 to 55; 4

55 to 66; 2

66 to 77; 2

77 to 88; 1

88 to 99; 0

99 to 110; 1

The only Histogram that corresponds to these frequency is option A

Answer:

22,873.35

Step-by-step explanation:

A=p+I where P(principal) = 18,000

I(interest) = 4,873.35

Answer:

A = 22,775

Step-by-step explanation:

A = amount after 6 years

P = 18,000

r = 4%  (in decimal = 0.04)

t = 6 years

A = 18,000 ( 1 + 0.04)^6

A = 22,775

Answer:

\(4^6\)

Step-by-step explanation:

\(4^9 \div 4^3\)

Apply the law of exponents.

\(=4^{9-3}\)

\(=4^6\)

Answer:

4^6

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

The solution is given in the image.

The graph of a feature f is the set of all factors in the plane of the form (x, f(x)). We can also outline the graph of f to be the graph of the equation y = f(x). So, the graph of a feature is a special case of the graph of an equation.

An axis is a line to the aspect or backside of a graph; it's far labeled to give an explanation for the graph's meaning and the devices of measurement. The x-axis, the horizontal line at the lowest of a graph, may be labeled to present facts about what the graph represents.

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Answer:

a) (0,-2)

b) \(\frac{1-(-2)}{3-0}\)= 1

c) -3  or 9

Step-by-step explanation:

The interpretation of the transformation of the given functions are;

f(\(x + \frac{1}{4}\)) means translated by 1/4 units to the left.

f(x) + 1/4 means that f(x) is translated by 1/4 units upwards

There are different ways of function transformations such as translation, reflection, dilation, compression e.t.c

Now, the function written can be said to translated by 1/4 units to the left . This is because when we translate a function by say "a" units to the left, we are simply going to add a units to the x - variable.

To translate a graph upwards, it simply means we will add the number of units to the function; for example, f (x) + 3 moves the graph of the function f (x) upward by 3 units.

Thus, the given function f(x) + 1/4 means f(x) is translated by 1/4 units upwards

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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Answer:

The answer is 1.65 miles.

Step-by-step explanation:

To get this answer you need to convert 3/4 to a decimal, 0.75. Then multiply 0.75 by 2.2 to get 1.65.

Answer:

0.4

Step-by-step explanation:

Divide 2 by 5 you'll get 0.4

Answer:

AE = 18

Step-by-step explanation:

The triangles must be similar so we can use ratios

2x+4         12

--------  = ---------

x+8          10

Using cross products

(2x+4)10 = 12 (x+8)

20x +40 = 12x+96

Subtract 12x from each side

20x-12x +40 = 12x-12x +96

8x +40 = 96

Subtract 40 from each side

8x = 96-40

8x = 56

Divide by 8

x = 56/8

x = 7

AE = 2x+4 = 2(7) +4 = 14+4 = 18

Answer:

I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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We can write the quadratic in standard form as:

y = x² -18x - 1053

For a quadratic equation whose solutions are:

x = x₁

x = x₂

We can write it as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = 9 + 9√13

x = 9 - 9√13

Then we can write the quadratic as:

y = (x - 9 - 9√13)*(x - 9 + 9√13)

Expanding that:

y = x² -18x - 81*13

y = x² -18x - 1053

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Answer:

5x+10

12x+6

18n -45

Step-by-step explanation:

5(x+2)

5x+5*2

5x+10

3(4x+2)

12x+6

9(2n-5)

18n -45

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▹ Answer

a) 5x + 10

b) 12x + 6

c) 18n - 45

▹ Step-by-Step Explanation

a) 5 * x =5x

5 * 2 = 10

5x + 10

b) 3 * 4x = 12x

3 * 2 = 6

12x + 6

c) 9 * 2n = 18n

9 * -5 = -45

18n - 45

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

answer is 0

Step-by-step explanation:

Answer:

yyy

Step-by-step explanation:

Answer:Canst see

Step-by-step explanation:

sorry my guy

Answer:

138.7% of 301 would be 411.467 but when we round it to the nearest hundredth it would be 411.47 your welcome

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

c because it is only online period

Answer:

You travel 6 miles

Step-by-step explanation:

3+3

The solution to the system of equations is x = 0.5, y = 0

The system of equations is given as:

y = 2x-1

4x + y=2

Substitute y = 2x-1  in 4x + y=2

4x + 2x-1  =2

Evaluate the like terms

6x = 3

Divide by 6

x = 0.5

Substitute x = 0.5 in y = 2x-1

y = 2 * 0.5 - 1

Evaluate

y = 0

Hence, the solution to the system of equations is x = 0.5, y = 0

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Given that the perpendicular bisectors of the sides of AXYZ meet at a single point S, which is the circumcenter of the triangle, I can use the properties of the circumcenter to find the lengths XS, YZ, and VY.

To start, I can use the fact that the circumcenter of a triangle is equidistant from its vertices. Therefore, I can write:

SV = SY (since S is equidistant from V and Y)

SZ = SX (since S is equidistant from Z and X)

SV = VX (since S is equidistant from V and X)

SU = UY (since S is equidistant from U and Y)

From the given information, we know that VS = 66, YU = 86, and ZS = 110. I can use this information to solve for the unknown lengths.

To find XS, I can use the fact that SZ = SX. We know that ZS = 110, so:

XS = ZS = 110

To find YZ, I can first find VY by using the fact that SV = VX. I know that VS = 66, so:

VY = VS - SY = 66 - YU/2

Now I can use the fact that SU = UY to solve for YZ:

YZ = YU - 2UY/2 = YU - UY = 86 - (66 - VY) = 20 + VY

So, YZ = 20 + VY

Therefore, I still need to find the value of VY. We can use the fact that SV = SY and the equation we found for VY above to solve for it:

SV = SY

66 = VY + 86/2

66 = VY + 43

VY = 23

Therefore, we have:

XS = 110

YZ = 20 + VY = 43

VY = 23

So, XS = 110, YZ = 43, and VY = 23.