Help please!
Find the equation of a line perpendicular to y = 2x – 1 that contains the point (-5,0). Write the equation in slope-
intercept form

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

i will clear you.

Step-by-step explanation:

Given:-

Marbels we have =30

when we add marbels =5

Now,

or,30+5

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

A = $ 181,824 rounded

Step-by-step explanation:

A = $ 181,823.93

A = P + I where

P (principal) = $ 69,000.00

I (interest) = $ 112,823.93

Answer:

650 ml left ................

Answer:

650 milliliters.

Step-by-step explanation:

Amount in the Jug = 1.5 * 1000 = 1,500 mls.

She pours out 250 mls and 0.6 * 1000 = 600 mls

The amount left = 1500 - 250 - 600

= 650 milliliters.

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

c

Step-by-step explanation:

your looking for an angle that adds up to 180 degrees, you already have 128, just subtract that from 180

Answer:

4.214

Step-by-step explanation:

Original Equation:

6.58 + 7.64 - 10.006

Add 6.58 to 7.64

14.22

Subtract 10.006 from 14.22

4.214

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Answer:

$19.26

Step-by-step explanation:

12 × .5 = 6

6 + 12 = 18

18 × 0.07 = 1.26

1.26 + 18 = 19.26

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The number of ways to arrange all the letters if the arrangement must end in a vowel is; 25,200.

The number of arrangement using only five letters is; 6720.

Since there are 5 options for the last letter, and there a 7 letters left to make an arrangement of 7.

Hence, The number of ways can you arrange all of the letters if the arrangement must end in a vowel is; 5 × 7!

= 5 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 25,200.

b). The number of arrangements if one can only use five letters is; ⁸P₅

= 6720.

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Answer:

1. m = -3 b = 2

2. m = 1/2 b = -1

3. m = -1 b = 79

4. m = 2 b = -2

5. y = -4x + 3

Step-by-step explanation:

1. the equation y=mx + b is used in number 1. m = slope and b = y intercept. so, because -3 is in the m spot, it is the slope, and because 2 is in the b spot, it is the y intercept.

2. apply the same concept as number 1. 1/2 is in the m spot, so it is the slope, and -1 is in the b spot, so it is the y intercept

3. To know the slope of the graph, you do rise/run. meaning, from one point on the graph, count how many times you go down to get to the next points, and then how many times you go over to get to the point. So, the slope of this line is -2/2, which is equal to -1. So, m = -1. To get the y intercept, take a pair of points from the graph (for example, (3,76)) and take the slope, and fill those in to the y = mx + b equation, and then solve for b. so, you get 76 = -1(3) + b. then do -1 times 3 and get -3. add 3 to both sides and you get b = 79.

4. apply the same concept on number 4 as you did number 3. Find rise/run, and you get 2/1, so m = 2. then take a point from the line (like point (0,-2)) and and the slope and fill it in to  y = mx + b. you get -2 = -2(0) + b. so, b = -2.

5. simply fill in the information into the y = mx + b equation. remember, m is the slope, and b is the y intercept. so, you get y = -4x + 3

Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

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The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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Yes, one of them made a mistake either Jenna did or Benito did or else both made the mistake.

Given that,
Jenna and Benito each marked 1/4 on a number line the length of the part from 0 to 1/4 on Jenna's number line is shorter than on Benito’s did someone make a mistake is to be justify.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
If both of them marked same measure on the number line,
Possibilities
1) one them made a mistake
(2) both of them made a mistake

Thus, Yes, one of them made a mistake either Jenna did or Benito did or else both made the mistake.

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The amount of each payment to 2 decimal places = $90406.80

Explanation:

t = 18 year

Principal = P = $18,000

r = 9% 0.09

Using compound interest formula:

n = number of times it was compounded in a year.

since it is monthly, n = 12

The amount of each payment to 2 decimal places = $90406.80

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Two lines are parallel if their slopes are equal.

In this case, the solpe of the line must be -1/2. Also the line passes through point (5,2) so:

The line is y = -1/2 + 9/2

Answer:

b

Step-by-step explanation:

y=-2x+10

y=-2×0+10 y=10

y=-2×1+10 y=8

y=-2×2+10 y=6

y=-2×3+10 y=4

Answer: B. y = –2x + 10

Step-by-step explanation:

The difference in rainfall between the wettest and driest days is 3/8 inches.

The intensity of the rain is typically categorized as light, moderate, or heavy. Light precipitation is defined as less than 0.10 inches per hour. Rainfall that is considered moderate ranges from 0.10 to 0.30 inches per hour. More than 0.30 inches of rain per hour is considered heavy rainfall. under 0.5 mm per hour. Greater than 0.5 mm per hour but less than 4.0 mm per hour is considered moderate rain. Greater than 4 mm per hour but less than 8 mm per hour is considered heavy rain. greater than 8 mm per hour of extremely intense rain.

Rainfall in Rainiest day = 5/8

Rainfall in driest day = 2/8

So, The Difference = 5/8 - 2/8 = 3/8 inches

Hence, rainfall on the rainiest day 3/8 more than driest day

Proper fraction = 3/8

Mixed fraction = 8/2 inches.

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Answer:

1st term: -3

2nd term: 6

3rd term: 21

4th term: 42

Step-by-step explanation:

This problem is unclear if I need to find the first 4 terms or the 4th term. I'm going to assume both possibilities.

To find the value of a term n, you'd just have to plug in that value n into the equation. When finding the first four terms of a sequence, you have to plug in the numbers 1, 2, 3, 4. When you plug in those numbers, you get those said answers.

1st term: 3(1^2)-6=-3

2nd term: 3(2^2)-6=6

3rd term: 3(3^2)-6=21

4th term: 3(4^2)-6=42

When assessing this problem, it is a geometric sequence with a common multiplier.

EXPLANATION:

Given that an = 3n²-6

Put n = 1 then

a1 = 3(1)²-6

⇛a1 = 3(1)-6

⇛a1 = 3-6

⇛a1 = -3

Put n=2 then

a2 = 3(2)²-6

⇛a2 = 3(4)-6

⇛a2 = 12-6

⇛a2 = 6

Put n = 3 then

a3=3(3)²-6

⇛a3 = 3(9)-6

⇛a3 = 27-6

⇛a3 = 21

Put n=4 then

a4 = 3(4)²-6

⇛a4 = 3(16)-6

⇛a4 = 48-6

⇛a4 = 42

Answer: The four terms of the sequence are -3,6,21,42

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The correct option : Both np and n(1 – p) are at least 10, for the a population with population proportion p.

A portion of a population that possesses a certain characteristic, given as a percentage, fraction, or decimal of the entire population.

For the stated data;

n = sample size of the population

p = population proportion

Then, for the sampling distribution of the sample proportion to be approximately normal both np and n(1 – p) are at least 10.

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Answer: D. 30.48 miles

Step-by-step explanation:

You basically use Pythagorean Theorem!

a2 + b2 = c2

Square root 20^2 +23^2

=√20^2 + 23^2

=20 x 2 + 23 x 2

= 929

And round it=

30.48 miles.

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

Answer:

3.278 * 10 ^ 2

Step-by-step explanation:

To change a number to scientific notation you:

Move the decimal point to the left to make the number have 1 number before the decimal point.

From there you multiply by 10 to the power 2 the number of decimal points you moved.

So the answer is 3.278 * 10^2

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