Answer:
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Step-by-step explanation:
The slope-intercept form of a function is given as:
[tex]y = mx+b[/tex]
Here
m is the rate of change of function and b is the y-intercept
The rate of change is calculated as:
[tex]m = \frac{difference\ in\ y}{difference\ in\ x}[/tex]
For this, any two pairs of input and output can be taken.
So using the pairs (1,-3) and (2,-1)
[tex]m=\frac{2-1}{-1+3}\\=\frac{1}{2}[/tex]
Putting the value of slope in slope-intercept form
[tex]y = \frac{1}{2}x+b[/tex]
Putting (1,-3) in the equation
[tex]-3 = \frac{1}{2}(1)+b\\-3 = \frac{1}{2}+b\\b = -3-\frac{1}{2}\\b = \frac{-6-1}{2}\\b= \frac{-7}{2}[/tex]
Putting the value of b
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Hence,
The function rule in slope-intercept form is:
[tex]y = \frac{1}{2}x-\frac{7}{2}[/tex]
Beth is making a rope ladder each step of the ladder is 2 1/3 feet wide width as a rope that is 21 feet long how many steps can she make from the rope
Answer:
Answer: She can make 9 steps from the rope.
Step-by-step explanation:
Given : The width of each step of the ladder = 2\dfrac{1}{3}\text{ feet}2
3
1
feet = \dfrac{2(3)+1}{3}=\dfrac{7}{3}\text{ feet}
3
2(3)+1
=
3
7
feet
The length of the rope = 21 feet
Then , the number of required steps = ( length of the rope ) ÷ (width of each step of the ladder)
=21\div\dfrac{7}{3}=21÷
3
7
=21\times\dfrac{3}{7}=3\times3=9=21×
7
3
=3×3=9
Hence, the number of steps can she make from the rope = 9.
1. What percent of 5 is 4?
What are we looking for?
5: a part or a whole?
4: a part or a whole?
Variable: ______=______
Answer:
1. 125% We are looking for the percentage. 5: Whole 4: Part
Step-by-step explanation:
Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.
Answer:
[tex]6x + 5 + 4x = 45[/tex]
[tex]10x = 40[/tex]
Step-by-step explanation:
Given
[tex]OP = 6x + 5[/tex]
[tex]PQ = 4x[/tex]
[tex]OQ = 45[/tex]
The given parameters show that P is a point between O and Q.
So:
[tex]OQ = OP + PQ[/tex]
Substitute values for OP, PQ and OQ
[tex]45 = 6x + 5 + 4x[/tex]
[tex]6x + 5 + 4x = 45[/tex] --- This is an equation
Collect Like Terms
[tex]6x + 4x = 45 - 5[/tex]
[tex]10x = 40[/tex] ------ This is another
Make x the subject
[tex]x = \frac{40}{10}[/tex]
[tex]x = 4[/tex]
HURRY UP PLZZZZZ
I NEED TO FINISHHHH
I WILL MARK BRAINLYEST!!!
:)
Answer:
I think 60
Step-by-step explanation:
have a great day
Answer:
The answer is $300
Step-by-step explanation:
15 dollars per lawn times 5 lawns per day is $75 and 75×4 is 300
PLEASE HELP ME PLEASEEEEEEEEE
Answer:
5 week
Step-by-step explanation:
13.75/ 2.75
=5
What is the value of: -7/3 (1/2) (-1/2)?
Answer:
2.5
Step-by-step explanation:
Hope I helped
Express rational numbers in reduced form for 27/36
Answer:
3\4
Step-by-step explanation:
hihihihihihihihihihi
What is the slope of y = -4x- 3?
Answer:
-4Step-by-step explanation:
Given line:
y = -4x - 3It is given in slope-intercept form:
y = mx + b, where m is the slopeComparing with the given we see that
m = -4, so the slope is - 4Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.
What is the value of y?
Answer:
A. 13
Step-by-step explanation:
[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)
Solve for y
[tex] 6y - 14 + 90 + 2y = 180 [/tex]
Collect like terms
[tex] 6y + 2y - 14 + 90 = 180 [/tex]
[tex] 8y + 76 = 180 [/tex]
Subtract 76 to both sides
[tex] 8y + 76 - 76 = 180 - 76 [/tex]
[tex] 8y = 104 [/tex]
Divide both sides by 8
[tex] \frac{8y}{8} = \frac{104}{8} [/tex]
[tex] y = 13 [/tex]
1. Approximately what was the total expenditure on entertainment if separated amount of $11,406.30, $1,669.72, $2,506.81 and $1,930.20 were spent?
Answer:
The approximate expenditure spent on entertainment is $17,513
Step-by-step explanation:
To get the total entertainment expenditure, we simply add up all these values
We have;
11,406.30 + 1669.72 + 2506.81 + 1930.20 = 17,513.03
The total expenditure spent on entertainment is approximately $17,513
A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.
Answer:
H0 : μ = 215
H1 : μ > 215
Rejection region :
Zstatistic > Z0.05
Step-by-step explanation:
Given that:
Average price of all mobile phones was £215
Sample size = 200
Significance level (α) = 0.05
To determine if the average price of all mobile phones is now greater than £215
The Null hypothesis (H0) :
H0 : μ = 215
Alternative hypothesis (H1) :
H1 : μ > 215
The rejection region :
|Zstatistic > Zα|
α = 0.05 ; Z0.05
Rejection region :
Zstatistic > Z0.05
Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100
Answer:
None of the expressions is equal to 0.7 x 0.41.
Step-by-step explanation:
Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:
A. 7,100 × 41100 = 291,810,000
B. 710 × 41100 = 29,181,000
C. 7100 × 4110 = 29,181,000
D. 710 × 4110 = 2,918,100
E. 70100 × 41100 = 2,918,100,000
Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.
There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.
Given :
Expression -- 0.7 × 0.41
The arithmetic operations can be used in order to evaluate the given expression.
[tex]0.7\times 0.41 = 0.287[/tex]
Now, check all the options in order to determine the correct option.
A) 7100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 41100 = 291810000[/tex]
Therefore, this option is incorrect.
B) 710×41100
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 41100 = 29181000[/tex]
Therefore, this option is incorrect.
C) 7100×4110
Evaluate the above expression by using the arithmetic operations.
[tex]7100\times 4110 = 29181000[/tex]
Therefore, this option is incorrect.
D) 710×4110
Evaluate the above expression by using the arithmetic operations.
[tex]710\times 4110 = 2918100[/tex]
Therefore, this option is incorrect.
E) 70100×41100
Evaluate the above expression by using the arithmetic operations.
[tex]70100\times 41100 =2881110000[/tex]
Therefore, this option is incorrect.
For more information, refer to the link given below:
https://brainly.com/question/25834626
3.
Mr. Hickman's cherry tree grew 12 inches in of a year. At that rate,
4
how much would it grow in 1 year?
Answer:
At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.
Step-by-step explanation:
I assume the actual question is:
"Mr. Hickman` s cherry tree grew 12 inches in 3/4 of a year. How much would it grow in one year ?"
As stated,
In 3/4 of a year, Mr. Hickman's cherry tree grew = 12 inches
Therefore,
In 1 year, Mr. Hickman's cherry tree would grow = [tex]\frac{1}{\frac{3}{4} }*12[/tex] inches
= 4/3 * 12 inches
= 16 inches
Hence, at the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.
Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?
Answer:
Jake
Step-by-step explanation:
The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5
Answer:
Step-by-step explanation:
hello my name is Mr. potato, my friends call me Mr.P but you can call me potato or Mr.P whatever you want is best for you top call me its ok for me and well I like cheese and i dont know what im doing here but i need friends im lonely looooooooool and i like a boy lol jajajjajajajaja me la chupan :3All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.
The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
The regular price = $45
The discount is worth = 40% of 45
= (40×45)/100
= $18
Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
The random variable X is known to be uniformly distributed between 2 and 12. Compute E(X), the expected value of the distribution.
Answer:
The expected value of the distribution is 7.
Step-by-step explanation:
The random variable X is known to be uniformly distributed between 2 and 12.
The probability density function of X is:
[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b[/tex]
Here a = 2 and b and 12.
Compute the expected value of the distribution as follows:
[tex]E(X)=\frac{a+b}{2}[/tex]
[tex]=\frac{2+12}{2}\\\\=\frac{14}{2}\\\\=7[/tex]
Thus, the expected value of the distribution is 7.
What number divided by−3 gives 12 as the result?
Answer:
-36
Step-by-step explanation:
x / (-3) = 12
x = 12*(-3)
x = -36
A diver starts out at 384 feet below the surface (or - 384 feet). She then swims upward 242 feet. Use a signed number to represent the diver's current depth.
Answer:
-142 feet
Step-by-step explanation:
-384+242 feet
=-142 feet
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The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.
A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.
Which expression is shown by the model?
Answer :
D - 28 + 14 = 7(4+2)
El 5% de los focos producidos por una fabrica son defectuosos. Al extraer una muestra de 6 focos. ¿Cual es la probabilidad de que menos de 3 focos sean defectuosos?
Answer:
3/10 no estoy segura pero creo que es esto
An airplane flew 2,400 miles in 4 hours.if the plane flew the same number of miles each hour, how many miles did it fly in 1 hour ?
Hermina cut a ft by ft piece of plywood down the diagonal.
A rectangle is 4 feet wide and 8 feet long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c.
What is the length c of the cut, in feet?
Answer:
[tex]\sqrt{80} = c[/tex] is the answer.
Step-by-step explanation:
We can solve this using the Pythagorean theorem.
We know we can use the pythagorean theorem because it has a 90 degree angle.
[tex]a^{2}+ b^{2}= c^{2}[/tex]
We are given the sides 4 and 8.
[tex]4^{2} + 8^{2} = c^{2}[/tex]
[tex]80 = c^{2} \\\\\sqrt{80} = c[/tex]
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Answer:
Step-by-step explanation:
80 feet
What is the measure of angle f?
Answer:
130 fj is a little bit of a good job for the first time in a new generation of companies in a little
Step-by-step explanation:
its 130 inches tall and a good job to do with my first day of work at a time when the first thing you can get to the point where
GIVING BRAINLIEST FOR WHO ANSWERS FIRST.
Answer:
T =54 degrees
since x=10
6x-6 =54
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How do I find y to solve for the vertex? (Transformations, Quadratic functions)
I know how to solve for the x but I'm confused on solving for the Y. Thank you!
Answer:
the other answer is zero.
Step-by-step explanation:
Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.
[tex]a=8\\\\h=21\\\\k=0[/tex]
what is 150mm in meters
Answer:
150 millimetres = 0.15 metreHelp for mon pls I’ll make you famous
Answer:
1. x>-1
2. x<4
3. x<-1
4. x>-2
5. x<-3
6. x<7
Step-by-step explanation:
1. 2x>-2 Divide both sides by 2.
/2 /2
x>-1
2. 4x<16 Divide both sides by 4.
/4 /4
x<4
3. x+4<3 Subtract both sides by 4.
-4 -4
x<-1
4. 5x>-10 Divide both sides by 5.
/5 /5
x>-2
5. 3x<-9 Divide both sides by 3.
/3 /3
x<-3
6. x-4<3 Add 4 to both sides.
+4 +4
x<7
Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.
Find the 89th term of the arithmetic sequence
-13, -8, -3
Answer:
427
Step-by-step explanation:
first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427
3x+14=2(2x-3), steps to solve
Answer:
20
Step-by-step explanation:
3x+14=2(2x-3)
3x+14=4x-6
3x-4x=-6-14
-x=-20
X=20
So the valueof X is 20
Which point is located at (Negative 0.5, 0.75)?
Answer: Is there a graph that goes with it?
Step-by-step explanation:
Answer: There is no graph?
Step-by-step explanation: