A line passes through the point (1, 4) and has a slope of 7.
Write an equation in slope-intercept form for this line

Answer: The answer is C on Edge 2020

Step-by-step explanation:

Answer:

(C) No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.

Is correct

ED2021

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

To find the ground speed of the plane, we need to know what a vector is

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

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Answer:

A on edge 2022

Step-by-step explanation:

323 kph and 22 E

Answer:

it's option is last one.

Subtract to eliminate y.

Hope it will help :)❤

Answer:

8

Step-by-step explanation:

2x² + 3x - 6

plug in x with 2

2(2)^2+3(2)-6

2(4)+6-6

8+6-6

14-6

8

Answer: a.

a. PROPOSITION ONE is true and PROPOSITION TWO is true

b. PROPOSITION ONE is true and PROPOSITION TWO is false

c. PROPOSITION ONE is false and PROPOSITION TWO is true

d. PROPOSITION ONE is false and PROPOSITION TWO is false

e. None of the above

Answer:

   A)  $102,400

Step-by-step explanation:

For these answers, we must assume the increase is linear.

The two-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given (x, y) values of (3, 25000) and (23, 68000), we have ...

  y = (68000 -25000)/(23 -3)(x -3) +25000

  y = 2150x +18,550

Then for x = 39, we find the predicted sales to be ...

  y = (2150)(39) +18,550 = 102,400

The predicted sales after 39 months is $102,400.

_____

The graph shows sales in thousands of dollars.

The distance between two points located at (1, 6) and (4, -6) on a coordinate grid 12.37 units.

The distance between two points \((x_1,y_1),(x_2,y_2)\) is,

\(d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

For given example,

Let given points are:

\((x_1,y_1)=(1,6)\\\\(x_2,y_2)=(4,-6)\)

Using distance formula,

\(\Rightarrow d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\Rightarrow d=\sqrt{(4-1)^2 + (-6-6)^2}\\\\ \Rightarrow d=\sqrt{(3)^2 + (-12)^2}\\\\ \Rightarrow d=\sqrt{9 +144}\\\\ \Rightarrow d=\sqrt{153} \\\\\Rightarrow \bold{d=12.37~units}\)

Therefore, the distance between two points located at (1, 6) and (4, -6) on a coordinate grid 12.37 units.

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Answer:

A

Step-by-step explanation:

1. Get 15% of 870:

   First, get 10 percent of 870, which is 87, then half that, which is 43.5

   Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

Answer:

11

Step-by-step explanation:

Given x value is 5.

Substitute the value of x   in the given equation.

5^2  is 5*5 = 25

Subtract 3 from 25 --->  25 - 3 = 22

Divide 22 by 2 ---> 22/2 = 11

Hence, the answer is 11.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

i dont know the answer

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Step-by-step explanation:

Step-by-step explanation:

Let the distance points A = (5,-2) and B = (-2,12)

Distance between AB = √[(x2-x1)²+(y2-y1)²]

Here, x1 = 5, y1 = -2

x2 = -2 , y2 = 12

Now,

Put all the values in distance formulae:

AB = √[(-2-5)²+{12-(-2)}²]

= √[(-7)²+(14)²]

= √[(-7*-7)+(14*14)]

= √[49 + 196]

= √[245] = 15.65 Units. Approximately.

Answer:- Hence, the distance between two points A(5, -2) and B(-2, 12) is 15.65 Units approximately.

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

Expression 1

Step-by-step explanation:

14x + 35 - 21y

\(14x + 35 - 21y \\ \frac{14x}{7} + \frac{35}{7} - \frac{21y}{7} \\ 2x + 5 - 3y\)

Answer:

Its Expression 2: 7(2x + 5 - 3y)

Step-by-step explanation:

just got it right

Due to the fact that many people only call their doctors when they are ill once or twice a year, the data is skewed toward the lower levels.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values).

Therefore, the correct answer is option b) The data is skewed to the lower values because many patients only call the doctor once or twice a year when they are sick.

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b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

6x-3(2x-5)=9

6x-6x+15=9

15=9

no sollution

Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

Answer:

multiply 37x7 and u will get 259

Answer:

Mrs. Hinds can expect 480 students to choose hamburger for lunch.

Step-by-step explanation:

Mrs. Hinds originally asks 30 students.
If she asks all 1200 students in the school, she would have to divide 1200 by 30.
1200 ÷ 30 = 40
Now she has to multiply 40 by how many students originally wanted hamburger.
40 × 12 = 480
Mrs. Hinds can expect 480 students to choose hamburger for lunch.

Answer:

\(\boxed{2^{\frac{802}{27}} \cdot 3^9}\)

Step-by-step explanation:

I will try to give as many details as possible.

First of all, I just would like to say:

\(\text{Use } \LaTeX !\)

Texting in Latex is much more clear and depending on the question, just writing down without it may be confusing or ambiguous. Be together with Latex! （＊＾Ｕ＾）人（≧Ｖ≦＊）/

\($(3^{-2} \cdot 4^{-5} \cdot 5^0)^{-3} \cdot (4^{-\frac{4}{3^3} })\cdot 3^3$\)

Note that

\(\boxed{a^{-b} = \dfrac{1}{a^b}, a\neq 0 }\)

The denominator can't be 0 because it would be undefined.

So, we can solve the expression inside both parentheses.

\(\left(\dfrac{1}{3^2} \cdot \dfrac{1}{4^5} \cdot 5^0 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{3^3} } }\right)\cdot 3^3\)

Also,

\(\boxed{a^{0} = 1, a\neq 0 }\)

\(\left(\dfrac{1}{9} \cdot \dfrac{1}{1024} \cdot 1 \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27\)

Note

\(\boxed{\dfrac{1}{a} \cdot \dfrac{1}{b}= \frac{1}{ab} , a, b \neq 0}\)

\(\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{1}{4^{\frac{4}{27} } }\right)\cdot 27\)

\(\left(\dfrac{1}{9216} \right)^{-3} \cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)\)

\(\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)\)

\(\left( \dfrac{1}{\left(\dfrac{1}{9216}\right)^3} \right)\cdot \left(\dfrac{27}{4^{\frac{4}{27} } }\right)\)

Note

\(\boxed{\dfrac{1}{\dfrac{1}{a} } = a}\)

\(9216^3\cdot \left(\dfrac{27}{4^{\frac{4}{9} } }\right)\)

\(\left(\dfrac{ 9216^3\cdot 27}{4^{\frac{4}{27} } }\right)\)

Once

\(9216=2^{10}\cdot 3^2 \implies 9216^3=2^{30}\cdot 3^6\)

\(\boxed{(a \cdot b)^n=a^n \cdot b^n}\)

And

\($4^{\frac{4}{27}} = 2^{\frac{8}{27} $\)

We have

\(\left(\dfrac{ 2^{30} \cdot 3^6\cdot 27}{2^{\frac{8}{27} } }\right)\)

Also, once

\(\boxed{\dfrac{c^a}{c^b}=c^{a-b}}\)

\(2^{30-\frac{8}{27}} \cdot 3^6\cdot 27\)

As

\(30-\dfrac{8}{27} = \dfrac{30 \cdot 27}{27}-\dfrac{8}{27} =\dfrac{802}{27}\)

\(2^{30-\frac{8}{27}} \cdot 3^6\cdot 27 = 2^{\frac{802}{27}} \cdot 3^6 \cdot 3^3\)

\(2^{\frac{802}{27}} \cdot 3^9\)

Stefanie bought 14 erasers.

Let's call the number of erasers Stefanie bought x.

We know that Stefanie paid $ 1.25 for the pencils, and she bought x erasers that each cost $ 0.50. So the total cost of the erasers is 0.5x.

Stefanie paid a total of $ 8.25, so we can write an equation:

1.25 + 0.5x = 8.25

1.25 + 0.5x - 1.25 = 8.25 - 1.25

Subtracting 1.25 from both sides, we get:

0.5x = 7

Dividing both sides by 0.5, we get:

x = 7 / 0.5

x = 7 × 2

x = 14

Therefore, Stefanie bought 14 erasers.

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Given question is incomplete, the complete question is below

Stefanie bought a package of pencils for $1.25 and some erasers that cost $0.50 each. She paid a total of $8.25 for these items, before tax. Exactly how many erasers did Stefanie buy?

Answer:

The 95% confidence interval for the mean change in blood pressure, \(\bar{x}\), is 1.744 < \(\bar{x}\) < 2.816

Step-by-step explanation:

The parameters given are;

The number of people in the sample, n = 9

The average drop in blood pressure, \(\bar{x}\) = 2.28 points

The standard deviation, σ = 0.82

The confidence level = 95%

The formula for confidence interval with a known mean is given as follows;

\(CI=\bar{x}\pm z_{\alpha/2} \dfrac{\sigma}{\sqrt{n}}\)

Where:

\(z_{\alpha/2}\) = z - score at 95% confidence level = 1.96

We therefore have;

\(CI=2.28 \pm 1.96 \times \dfrac{0.82}{\sqrt{9}}\)

Which gives the 95% confidence interval for the mean change in pressure, \(\bar{x}\), is given as follows;

1.744 < \(\bar{x}\) < 2.816

Answer:

Venus would be closer by 22,300,000 miles

Step-by-step explanation:

Since if you simplify Venus's distance it would be 26,000,000, and Mars's distance is 48,300,000, Venus would be closer.

As for finding out by how much, you would subtract 48,300,000 by 26,000,000.

48,300,000-26,000,000 = 22,300,000

Answer:

Venus is closer to Earth by 22,300,000 miles.

Step-by-step explanation:

Mars to Earth is 48,300,000 according to your worksheet.

Venus to Earth is 2.6 x 10^7

10^7 = 10,000,000

10,000,000 x 2.6 = 26,000,000

48,300,000 minus 26,000,000 equals 22,300,000

Answer:

Elimination

x = 2

y = -2

Step-by-step explanation:

Elimination

2x + 4y = -4

2x - y = 6

Subtract the second equation from the first

5y = -10

Divide both sides by 5

y = -2

---------------------

Substitute for y = -2 in the second equation

2x - -2 = 6

2x + 2 = 6

subtract 2 from both sides

2x = 4

Divide both sides by 2

x = 2

Answer:

nes

Step-by-step explanation:

Answer:

OFCOURSE

Step-by-step explanation:

PLs give brainlist mean the world

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