Consider the line x-7y=1
What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

x1+x2/2 + y1 +y2/2

= 1 +3/2 + 3+11/2

= (2;7)

Answer:

You are multiplying two factors in the argument.  So we add the logs.

log(x4y3) + log((x2y5)1/3)

log(x4y3) + log(x2/3y5/3)

For each log term. The arguments are being multiplied.  So we further add the logs.  Also, any exponents become of the coefficients of logs.

4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)

Combine like log terms.

(14/3)log(x) + (14/3)log(y)

So

P(AUB)=P(A)+P(B)

Answer:

Spot 1:   14

Spot 2:   7

Step-by-step explanation:

To fill in the first empty spot, we just have to look at the other side.

We can see that the factor on the right is 4

That means the factor on the left has to multiply by 4 to get 56

To find which number that is, we divide 56 by 4

56 ÷ 4 = 14

So, the first spot is 14

Then, to find the spot below it, we need a number that multiplies by 2 to get 14

Well, 14 ÷ 2 = 7

The second spot is 7

From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last  names.

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The dot plot states that:

2 students have 4 vowels in their first and last name.

3 students have 5 vowels.

8 students have 6 vowels.

9 students have 7 vowels.

Then:

Total of 2 + 3 + 8 + 9 = 22 students.

3 + 8 + 9 = 20 have or more vowels.

90.91% of the students have 5 or more vowels in their first and last  names.

Answer:

8

Step-by-step explanation:

10 -1-1

that's all I can think

Explanation:

x = length of the actual car in inches

5% of x = 9 inches

0.05x = 9

x = 9/(0.05)

x = 180 inches

Divide by 12 to convert from inches to feet.

180 inches = (180/12) feet = 15 feet

Answer:

Step-by-step explanation:

Cross multiply,

74* b = 600 * 100

74b = 60000

b = 60000/74 = 810.8

Answer:

37.7cm

Step-by-step explanation:

If the diametre is 12, the radius is 6, which means the area is 113.0973, which also means the circumference is 37.6991, round and you get 37.7

Step-by-step explanation:

N:2 = 15:5

N\2 = 15\ 5

Now cross multiply,

5N = 30

N = 6

Answer:

Step-by-step explanation:

N:2 = 15/5 solve it for n

n : 2 = 15 : 5

n = 2 * 15 : 5

n = 30 : 5

n = 6

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check

6 : 2 = 15 : 5

3 = 3

the answer is good

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

The formula for calculating the area of circle is expressed as;

A  = πr²

r is the radius of the circle

If r = 875ft

A = 3.14(875)²

A = 2,404,062.5squar feet

For the diameter = 1715feet

r = 1715/2

A = 3.14(1715/2)²

A =2,308,861.625 square feet

For the third portion has a 5305 feet circumference;

5305 = 2(3.14)r

r = 844.74ft

A = 3.14(844.74)^2

A = 2,240,686.70

If the daughter does not want more than 2,250,000 square feet of the corn maze, hence she will choose all the portions

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the person above has the correct work.. but the answer is  the portion with the 5305 feet circumference.

Answer:

96 gallon of a gas if a gallon of gas is used to travel a mile you will multiply one times ninety six

Answer:

If one angle is 23 then the other is 180-23 = 157

one angle is the supplementary of other

23 is the supplementary of 157

157 is the supplementary of 23

Answer:

Step-by-step explanation:

0 hours is 0, 1 is 3.5, 2 is 7, 3 is 10.5, 4 is 14, 5 is 17.5.

The time taken to reach the scene is 14 minutes, the correct option is D.

Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.

The distance is 10.5 miles

The speed of driving is 45 miles/ hour

Time period = ?

Let t denotes the time taken to reach

Speed =  Distance / Time

45 = 10.5 / t

t = 10.5/45 = 0.233 hours

t = 0.233 *60 = 14 minutes

Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.

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Answer:

23/131 or 23/58

Answer:

0.076923 in decimal or 0.08

96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow

Answer:

16$

Step-by-step explanation:

96$ for 6 pillows, so divide that cost by 96$/6=16$ per pillow

Answer: 200.2 + 4.27 = x

x = 204.47

204.47 x [tex]10^{3}[/tex]= 204470

Answer:

Step-by-step explanation:

no of yellow marbles = 6

no. of green marbles = 6

total no. of marbles = 12

he picks and put the marbles for 26 times

he pick yellow for 15 times

he pick green marble for 11 times

= (15/26 - 1/2) / 1/2 = 15.4%

Answer: 24 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

Expand 4(1+0.5m): 4+2m

[tex]4\left(1+0.5m\right)[/tex]

[tex]a=4,\:b=1,\:c=0.5m[/tex]

[tex]=4\cdot \:1+4\cdot \:0.5m[/tex]

Simplify 4*1+4*0.5m: 4+2m

[tex]4\cdot \:1+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4[/tex]

[tex]=4+4\cdot \:0.5m[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:0.5=2[/tex]

[tex]=4+2m[/tex]

[tex]4+2m=7m[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]

[tex]4+2m-4=7m-4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2m=7m-4[/tex]

[tex]\mathrm{Subtract\:}7m\mathrm{\:from\:both\:sides}[/tex]

[tex]2m-7m=7m-4-7m[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-5m=-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]

[tex]\frac{-5m}{-5}=\frac{-4}{-5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=\frac{4}{5}[/tex]

Answer:

21.07 ft²

Step-by-step explanation:

Radius = 7

Length of the rectangle = 2 * 7 = 14 ft

Area of rectangle = 14 * 7 = 98 ft²

Area of semicircle = π(7)²/2 = 76.93 ft²

So the are of shaded region = 98 - 76.93 = 21.07 ft²

Answer:

C would be your answer

Step-by-step explanation:

Put it into the graphing calculator

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution set shown belongs to two equations,

Hence, the correct option is C.

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Answer:

Step-by-step explanation:

here !

Answer:

Step-by-step explanation:

in 10 hrs distance covered=speed×time=15×10=150 nautical miles.

x²=600²+150²-2×600×150×cos 20°

x²=360,000+22,500-180,000×cos 20°

x=√(382,500+180,000×cos 20°)

x\approx 742.73 nautical miles

time taken=742.73/15 \approx ~49.52 hours

total time taken=10+49.52=59.52 hours

applying sine formula

[tex]\frac{sin ~B}{150} =\frac{sin~20}{742.73} \\\sin~B=\frac{150}{742.73} \times~sin~20\\B=\sin^{-1} [\frac{150}{742.73} \times \sin~20]\\B\approx~3.96 ^\circ\\B\approx 4^\circ[/tex]

so it has to make a turn=20+4=24°

Answer:

b){ f(x)| –∞ < f(x) ≤ 4}

Step-by-step explanation:

I took a test recently on this and am not really sure how to explain it.

Hope this helped.

A brainliest is always appreciated.

Answer:

y > 2x - 1

Step-by-step explanation:

the first thing we see in the graph is the dotted line. so, the line itself will not be included. therefore, no "<=" or ">=", but there was none in the answer options anyway.

then we see the shaded area is "above" (in tendency) the line. so, we are talking about a "y > ..." inequality.

then we see the y-intercept (the y value when x=0). it is -1, but all the answer options have "-1" as y-intercept. OK.

and then we see the slope of the line. when checking after (0, -1) the next point on the line with whole numbers as coordinates, we find (1, 1). so, while x increased by 1, y increases by 2. so, the slow is "y change"/"x change" = 2/1 = 2

so, in total, we are looking for the line

y = 2x - 1

and to cover the whole area above the line (but without the line) we get then

y > 2x - 1