Answer:
x = -1
Step-by-step explanation:
We are given the following two points from which the line passes and has a slope of [tex]\frac{2}{3}[/tex].
We are to find the value of x.
Slope = [tex] \frac { y _ 2 - y _ 1 } { x _ 2 - x _ 1 } [/tex]
[tex]\frac{2}{3}[/tex] = [tex]\frac{10-8}{x-(-4)}[/tex]
[tex]\frac{2}{3}[/tex] = [tex]\frac{2}{x+4}[/tex]
By cross multiplication:
[tex]2(x+4)=3 \times 2[/tex]
[tex]2x+8=6[/tex]
[tex]2x=-2[/tex]
x = -1
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut point with ele axis and
[tex]m = \frac {y2-y1} {x2-x1}[/tex]
How we have:
[tex]\frac {2} {3} = \frac {8-10} {- 4-x}\\\frac {8-10} {- 4-x} = \frac {2} {3}\\\frac {-2} {- 4-x} = \frac {2} {3}[/tex]
We clear the value of "x"
[tex]2 (-4-x) = - 6\\-8-2x = -6\\-2x = -6 + 8\\-2x = 2\\x = \frac {2} {- 2}\\x = -1[/tex]
Answer:
[tex]x = -1[/tex]
Sanjay rides his bike to work 15 kilometers in two days, He works five days per week. How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?
A: 4 weeks
B: 7.5 weeks
C: 10 weeks
D: 20 weeks
Answer:
(15 km/2 days)(5 days) = 37.5 km/week
(37.5 km/week)(4 weeks) = 150 km
The correct answer is A.
Answer: hey! sorry if very late :(
it's A).
Step-by-step explanation:
d
salemburg is 17 miles south of linbrooke, and linbrooke is 5 miles west of pueblo. Carson lives nine miles north of linbrooke. how many miles is it from carson house to Salemburg through pueblo “as the crow flies”
Check the picture below.
so then, let's use the pythagorean theorem to find "x" and "y", and the distance is just x+y.
[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ x=\sqrt{9^2+5^2}\implies x=\sqrt{81+25}\implies x=\sqrt{106} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{17}\\ b=\stackrel{opposite}{5}\\ \end{cases} \\\\\\ y=\sqrt{17^2+5^2}\implies y=\sqrt{289+25}\implies y=\sqrt{314} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total distance}}{x+y}\implies \sqrt{106}+\sqrt{314}\qquad \approx 10.296+17.72\qquad \approx 28.016[/tex]
Final answer:
To find the distance from Carson's house to Salemburg through Pueblo 'as the crow flies', we use the Pythagorean theorem. Adding together the two legs of a right triangle formed by the given distances and solving for the hypotenuse, we find it is approximately 26.48 miles.
Explanation:
To determine the distance from Carson's house to Salemburg through Pueblo 'as the crow flies', we need to create a diagram and use the Pythagorean theorem. First, we know that Salemburg is 17 miles south of Linbrooke, Linbrooke is 5 miles west of Pueblo, and Carson lives 9 miles north of Linbrooke. Therefore, the distance directly north from Carson's to Pueblo is 9 miles (since he is directly north of Linbrooke), and from Pueblo to Salemburg the direct line would consist of 5 miles west and 17 miles south, which forms a right triangle.
Using the Pythagorean theorem to find the length of the hypotenuse (direct line from Carson's past Pueblo to Salemburg), we have:
Calculate the total distance north-south by adding Carson's 9 miles north to Salemburg's 17 miles south, which gives us 26 miles.
Since we already have the west-east distance as 5 miles, we can set up the equation a^2 + b^2 = c^2, where 'a' is 5 miles, 'b' is 26 miles, and 'c' is the hypotenuse we are looking for.
Plugging in the values gives: 5^2 + 26^2 = c^2, or 25 + 676 = c^2, resulting in c^2 = 701.
Take the square root to find 'c': c ≈ 26.48 miles.
Therefore, the distance from Carson's house to Salemburg 'as the crow flies' passing through Pueblo is approximately 26.48 miles.
An entrepreneur is a _____.
new business that creates a product that raises the standard of living
person who administers career tests
person who takes a risk to create a new product or develop a better way to operate a business
person who completes tax return forms for individuals
An entrepreneur is a someone who organizes and conducts a business, and taking great financial risks.
Answer:
The correct answer would be option C, A person who takes a risk to create a new product or develop a better way to operate a business.
Step-by-step explanation:
An entrepreneur is a person who starts a new business alone. An Entrepreneur is responsible for all the profits and losses of the business. He takes risks in the hope of earning profits. He introduces new products in the market and develops better ways to operate a business. He is solely liable for all his decisions and the resulting profit or losses. Entrepreneurs are usually hard working, strong decision makers, risk takers, and highly innovative people.
calculate the slope of the line that contains the points (2,-3) and (6,-3)
Answer:
Step-by-step explanation:
y2-y1/x2-x1= -3-(-3)/6-2= 0/4
Evaluate -3x3 - 4x for x = -1. 1 7 -1
Answer:
-5
Step-by-step explanation:
-3 x 3 - 4x
x=-1
-3 x 3 - 4(-1)
-3 x 3 + 4
-9 + 4
-5
Hope This Helps! :D
Answer:
-3-4x
=-3(-1
=-3*(-1)+4
=3+4
=7
Step-by-step explanation:
that should be all you need to know
Information you may find on your paycheck stub may include _____.
pay period, taxable allowances, and dividends
deductions, dividends, and interest
employee benefits, date of hire, and number of dependents
employee ID, vacation time, pay period, and deductions
Answer:
Pay period, taxable allowances, and dividends
Step-by-step explanation:
Answer: Pay period, taxable allowances, and dividends
Explanation:
Paycheck stub is the type of document which include the total paid amount to the employees. It is also known as pay slip and pay stub. The pay stub is basically received by the each pay slip and period.
This pay check stub document basically show the total earnings, deductions and the net pay after the all deductions.
We can also save the paycheck stub in our records so that we can easily access it in future. In case of the employees and employer, the paycheck stub prove that the payment and the income are both consistent.
asap pls help and explain
A theater can hold 160 giants or 240 elves. If 100 giants are inside, how many elves can also be admitted ?
Answer:
the answer would be 90
Step-by-step explanation:
100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.
3/8 times 240 elves is 90 elves.
If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!
The problem is in the picture :)
Answer:
Last option: 4
Step-by-step explanation:
The quadratic equation simplified: [tex]x^2-4x=-\frac{7}{2}[/tex] has the form:
[tex]ax^2+bx=c[/tex]
In this case, you can identify that "a", "b" and "c" are:
[tex]a=1\\b=-4\\c=-\frac{7}{2}[/tex]
To solve this quadratic equation by completing the square, Carlos should add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. This is:
[tex](\frac{-4}{2})^2=(-2)^2=4[/tex]
Then:
[tex]x^2-4x+4=-\frac{7}{2}+4[/tex]
Therefore you can observe that the number he should add to both sides of the equation is: 4
WORTH 34 POINTS! PLEASE HELP ASAP!
Would you describe the association between the age of the car and its resale value as exhibiting a linear association, non-linear association, or no association? Explain your reasoning.
Answer:No assoication
Step-by-step explanation:
because they are not parellell with each other
Answer: No association.
Step-by-step explanation: They aren't parallel with each other. So, it has to be no association.
2. The 2002 Denali earthquake in Alaska had a Richter scale magnitude of 6.7. The 2003 Rat Islands earthquake in Alaska had a Richter scale magnitude of 7.8.
(SHOW WORK)
Suppose an architect has designed a building strong enough to withstand an earthquake 70 times as intense as the Denali quake and 30 times as intense as the Rat Islands quake. Find which structure is strongest. Explain your finding.
(SHOW WORK)
Answer:
the building strong enough to withstand the denali quake
Step-by-step explanation:
denali quake 6.7 x 70 = 469
the building in denali should be strong enough to withstand an earthquake of that magnitude
rat island quake 7.8 x 30 = 234
the building in the rat islands should be strong enough to withstand an earthquake of that magnitude
I Need Help With This One, .......again
Answer:
1249.37
Step-by-step explanation:
7850 = 2 pi r
r = 7850/(2pi) = 1249.37
ANSWER
The radius is approximately 1249 units.
EXPLANATION
The relation between the radius of a circle and its circumference is expressed in the formula:
[tex]C = 2\pi \: r[/tex]
The circumference is given as 7,850 .
This implies that
[tex]7850 = 2\pi \: r[/tex]
[tex]r = \frac{7850}{2 \: \pi} [/tex]
[tex]r = 1249.4[/tex]
to the nearest tenth.
Which ordered pair is the best estimate for the solution of
the system of equations?
y= -2.5x + 6.5
y=x+1
A (1.5,2.5)
B (1.25,2.5)
C (1.75,2.25)
D (1.25,1.75)
Answer:
(1.5, 2.5) is the best approximate solution.
Step-by-step explanation:
According to the graph, at the point of intersection of these two lines, x is closest to 1.5 and y is simultaneously closest to 2.5.
(1.5, 2.5) is the best approximate solution.
Answer:
Step-by-step explanation:
1.5 AND 2.5
What is the solution of 4x 2 36?
Answer:
x= 8.5 or 9, or deciding if u adding or subtracting the problem, x= 9.5 or 10
Step-by-step explanation:
If you're meaning 4x+2=36 or 4x-2=36
-2 -2 +2 +2
4x=34 4x=38
4 4 4 4
x= 8.5 or 9 x= 9.5 or 10
Hope i have helped you! :)
Solve the system of equations below.
x − y = 5
2x − 3y = 4
A (5, 0)
B (7, 2)
C (9, 4)
D (11, 6)
To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. By substituting the value of x from the first equation into the second equation, we can find the value of y. Then, substitute the value of y back into the first equation to find the value of x. The solution to the system of equations is (11, 6).
Explanation:To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. Let's use the method of substitution:
From the first equation, we can rearrange it to x = y + 5. Now substitute this value of x into the second equation:
2(y + 5) − 3y = 4
Simplify and solve for y:
2y + 10 - 3y = 4
-y + 10 = 4
-y = -6
y = 6
Now substitute this value of y back into the first equation to find x:
x − 6 = 5
x = 11
Therefore, the solution to the system of equations is (11, 6). So, the correct answer is option D.
What is the value of x?
Answer: x=62
Step-by-step explanation:
A triangle is 180 degrees. When you add 71 and 47, it equals 118. Then subtract 118 from 180 and you are left with 62 degrees.
Hope this helps!
Answer: x = 62°
Remember: the interior angles of a triangle add up to 180°.
47 + 71 = 118
180 - 118 = 62
Find dy/dx if y=sin(x+y)
Steps would be appreciated.
Answer:
[tex]\frac{dy}{dx} = \frac{cos(x+y)}{1-cos(x+y)}[/tex]
Step-by-step explanation:
We have the function [tex]y=sin(x+y)[/tex]
We need find the derivative of y with respect to x
Note that the function [tex]y = sin (x + y)[/tex] depends on the variable x and the variable y. Therefore the derivative of y with respect to x will be equal to the derivative of [tex]sin (x + y)[/tex] by the internal derivative of [tex]sin (x + y)[/tex]
[tex]\frac{dy}{dx}= cos(x+y)*\frac{d}{dx}(x+y)[/tex]
[tex]\frac{dy}{dx}= cos(x+y)*(1+\frac{dy}{dx})\\\\\frac{dy}{dx}= cos(x+y)+\frac{dy}{dx}cos(x+y)\\\\\frac{dy}{dx} -\frac{dy}{dx}cos(x+y)=cos(x+y)\\\\\frac{dy}{dx}(1-cos(x+y))=cos(x+y)\\\\\frac{dy}{dx} = \frac{cos(x+y)}{1-cos(x+y)}[/tex]
Answer:
Step-by-step explanation:
Note that y=sin(x+y) is an implicit function; y appears on both sides of the equation, which makes it difficult or impossible to solve for y.
However, our job here is to find the derivative dy/dx.
We apply the derivative operator d/dx to both sides. Here are the results:
dy
---- = cos(x + y)(dx/dx + dy/dx), or
dx Note: dx/dx = 1
dy
---- = cos(x + y)(1 + dy/dx), or = cos(x + y) + cos(x + y)(dy/dx)
dx
We move that cos(x + y)(dy/dx) term to the left side to consolidate dy/dx terms:
dy
---- - cos(x + y)(dy/dx) = cos(x + y)
dx
or:
dy
[ ---- ] [ 1 - cos(x + y) ] = cos(x + y)
dx
Finally, we divide both sides by [ 1 - cos(x + y) ], obtaining the derivative:
dy cos(x + y)
[ ---- ] -------------------------
dx 1 - cos(x + y)
The box and whisker plot below represents students test scores of Mr. Ali’s history test.
C. Mr. Ali’s wanted more than half of the students to score 75 or greater on the test. Explain how you know that more than half of the students did NOT score greater than 75.
Answer:I know that more than half of the students did not score more than 75 because the median (the middle number) is 68.
Step-by-step explanation:
A triangular pyramid with a volume of 270 cubic centimeters, a base edge of 15 centimeters, and the height of the base as 4 centimeters has a height of____ centimeters.
Answer:
The height of the triangular pyramid is [tex]27\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a triangular pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the triangular base
H is the height of the pyramid
Find the area of the base B
[tex]B=\frac{1}{2}(15)(4)=30\ cm^{2}[/tex]
we have
[tex]V=270\ cm^{3}[/tex]
substitute and solve for H
[tex]270=\frac{1}{3}(30)H[/tex]
[tex]270=10H[/tex]
[tex]H=270/10=27\ cm[/tex]
The overhead reach distances of adult females are normally distributed with a mean of
200 cm and a standard deviation of
8 cm.
a. Find the probability that an individual distance is greater than
210.00
210.00 cm.
b. Find the probability that the mean for
25
randomly selected distances is greater than
198.70 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Answer:
a)
The probability that an individual distance is greater than 210.00 cm is 0.1056
b)
The probability that the mean for 25 randomly selected distances is greater than 198.70 cm is 0.7917
c)
The normal distribution be used in part (b), even though the sample size does not exceed 30 since the parent population from which the sample has be obtained is Normal.
Step-by-step explanation:
a)
We let the random variable X denote the overhead reach distances of individual adult females. This implies that X is normally distributed with a mean of 200 cm and a standard deviation of 8 cm.
The probability that an individual distance is greater than 210 can be written as;
Pr(X>210)
We standardize the value to obtain the associated z-score;
[tex]P(X>210)=P(Z>\frac{210-200}{8})=P(Z>1.25)[/tex]
Using the standard normal tables, the area to the right of 1.25 is 0.1056. Therefore, the probability that an individual distance is greater than
210.00 cm is 0.1056.
b)
The first step will be to determine the sampling distribution of the sample mean given that the variable overhead reach distance is normally distributed with a mean of 200 cm and a standard deviation of 8 cm.
In this case, the sample mean will also be normally distributed with a mean of 200 cm and a standard deviation of;
[tex]\frac{sigma}{\sqrt{n} }=\frac{8}{\sqrt{25} }=1.6[/tex]
The probability that the mean for 25 randomly selected distances is greater than 198.70 cm;
Pr(sample mean >198.70)
We standardize the value to obtain the associated z-score;
[tex]=P(Z>\frac{198.70-200}{1.6})=P(Z>-0.8125)[/tex]
Using the standard normal tables, the area to the right of -0.8125 is 0.7917. Therefore, the probability that the mean for 25 randomly selected distances is greater than 198.70 cm is 0.7917.
c)
The normal distribution be used in part (b), even though the sample size does not exceed 30 since the parent population from which the sample has be obtained is Normal.
how can i find the área of a triangle? please help.
This is the area of a triangle
Answer:
Use the formula Area=1/2bh
Step-by-step explanation:
What is the volume of the following triangular prism?
A) 252 yd3
B) 126 yd3
C) 42 yd3
D) 84 yd3
Answer:
Option C. [tex]42\ yd^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Convert 9 ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
[tex]B=\frac{1}{2}(3)(4)=6\ yd^{2}[/tex]
we have
[tex]H=7\ yd[/tex]
substitute the values in the formula
[tex]V=BH[/tex]
[tex]V=(6)(7)=42\ yd^{3}[/tex]
Answer:
The answer is 42 yards! Sry im late. :(
5 pounds of birdseed cost $10.40. What is the price per ounce ?
$0.13 per ounce. 5 pounds of birdseed cost $10.40, then the price per ounce is $0.13.
The easiest way to solve this problem is using arithmetic operations and unit conversion.
We have to calculate the price per pound. Let's divide $10.40 by 5 pounds.
10.40/5 = 2.08
The price per pound is $2.08
To calculate the price per ounce, with 1 pound = 16 ounces. Let's divide $2.08 by 16 ounces.
2.08/16 = 0.13
The price per ounce is $0.13
Two and two fifths divided by one and a half
Answer:
8/5 or 1 3/5
Step-by-step explanation:
2 2/5 = 12/5
1 1/2 = 3/2
Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...
12 3 12 2 24 8 3
— ÷ — = — × — = — = — or 1 —
5 2 5 3 15 5 5
*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.
A shipping crate is packed with unit cubes. The length of the crate is 4 units, the width is 2 units and the height is 4 units. Find the volume If the shipping crate
Answer:
32 unit³
Step-by-step explanation:
Length of the crate has been given as 4 units
width of the crate = 2 units
Height of the crate = 4 units
Since the crate has been packed packed with the unit cubes.
Therefore, shape of the crate will be in the form of a rectangular prism.
Volume of the prism = Length × width × height
crate = 4 × 2 × 4
= 32 unit³
Volume of the shipping crate is 32 unit³.
Answer:
32 Units
Step-by-step explanation:
If u do 4x2x4=32 that is your answer all you got to do is x Lxwxh and U will find the volume
NEED HELP ASAP 100 POINTS!!!! A woman looks out a window of a building. She is 93 feet above the ground. Her line of sight makes an angle of theta with the building. The distance in feet of an object from the woman is modeled by the function d=93 secant theta. How far away are objects sighted at angles of 29degrees and 59degrees?
To find the distance of objects sighted at angles of 29 degrees and 59 degrees, use the function d = 93 sec(theta). Substituting theta values, the distances are 106.87 feet and 166.39 feet, respectively.
Explanation:To find the distance of an object sighted at angles of 29 degrees and 59 degrees, we can use the function given, d = 93 sec(theta). Substituting theta = 29 degrees, we get d = 93 sec(29) = 93*(1/cos(29)) = 93/0.8714 = 106.87 feet. Similarly, substituting theta = 59 degrees, we get d = 93 sec(59) = 93*(1/cos(59)) = 93/0.5588 = 166.39 feet.
What is the sum of the geometric sequence 4, 16, 64, ... if there are 8 terms? (6 points)
Answer:
87380
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
r = [tex]\frac{16}{4}[/tex] = 4 and a = 4, hence
[tex]S_{8}[/tex] = [tex]\frac{4(4^8-1)}{4-1}[/tex] = [tex]\frac{4(65535)}{4}[/tex] = 87380
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric, and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
2 ft
4 ft
6 ft
8 ft
Answer: The answer to your question is 4 ft
Step-by-step explanation: we know that the formula to find the area of a rectangle is
A=LW
In this problem, we have:
[tex]A= 30 ft^{2}[/tex]
[tex]L= 7.5ft[/tex]
Substitute the values and solve for W
30=7.5W
Divide by 7.5 on both sides
W= 30/ 7.5= 4ft
Answer:
The width of the tablecloth is 4 ft
What is the area of a pyramid?
Answer:
Area of a pyramid = (1/3) x (base area) x (height)
Solve the expression for x: 5x (4-2)=20
For this case we must find the value of the variable "x" of the following equation:
[tex]5x (4-2) = 20[/tex]
We solve the operation within the parenthesis:
[tex]5x (2) = 20[/tex]
We multiply the left side:
[tex]10x = 20[/tex]
We divide both sides of the equation by 10:
[tex]x = \frac {20} {10}\\x = 2[/tex]
ANswer:
[tex]x = 2[/tex]
The solution of the expression given for x is 2.
Given is an expression 5x(4-2) = 20, we need to solve for x.
To solve the expression 5x(4-2) = 20 step by step, follow these steps:
Simplify the expression inside the parentheses:
5x(4 - 2) = 20
5x(2) = 20
Multiply 5x by 2:
10x = 20
Divide both sides of the equation by 10 to isolate x:
(10x)/10 = 20/10
x = 2
Therefore, the solution for x is 2.
Learn more about expression click;
https://brainly.com/question/28170201
#SPJ6
HEEELLLLPPPPP PLEASE I HAVE NO IDEA HOW TO DO THIS!!!
You are building an 8000-square-foot rectangular pen with three sides fenced along a river. The side parallel to the river faces nice homes and must be built using cedar costing $5 per foot. The other two sides can be built using chain link costing $2 per foot. What dimensions will minimize the cost of the fence?
I REALLY NEED HELP CAN SOMEONE SHOW ME STEP BY STEP :( PLEASE!
2 as what he said above