Answer:
Step-by-step explanation:
let (x1 , y1) = ( - 3, - 4) and (x2 , y2) = ( 6 , 8)
Slope (m)
= y2 - y1 / x2 - x1
= 8 + 4 / 6 + 3
= 12 / 9
= 4/3
Use the distributive property to write an equivalent expression. 4(x+2)
Answer:
4x+8
Step-by-step explanation:
4*x = 4x
4*2 = 8
4x+8
The equivalent expression using the distributive property is 4x + 8.
How to determine the distributive property to write an equivalent expression.To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.
Using the distributive property, we multiply 4 by both x and 2:
4(x + 2) = 4 * x + 4 * 2
Simplifying further:
4(x + 2) = 4x + 8
Therefore, the equivalent expression using the distributive property is 4x + 8.
Learn more about equivalent expression at https://brainly.com/question/15775046
#SPJ2
PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3
Answer:
80.
Step-by-step explanation:
I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.
find the value of x if log3 625=x
Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.
find the distance between (3,7) and (-1,4)
Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]
Thus, the distance is 5 units.
Which of the following expressions could NOT be used to find the volume of the sheet cake? Select all that apply.
Incorrect
60 × 3
Correct
12 + 5 + 3
Incorrect
3 × 5 × 12
Correct
12 × 5
Correct
(12 × 5) + 3
Liam is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Liam need to invest, to the nearest ten dollars, for the value of the account to reach $23,000 in 5 years?
Answer:
The answer is 17300./ Hope this helps
Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.
Answer:
[tex]f(a) = 4a - 1[/tex]
[tex]f(a+h) = 4a+4h - 1[/tex]
[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x - 1[/tex]
Solving (a): f(a)
Substitute a for x
[tex]f(a) = 4a - 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x
[tex]f(a+h) = 4(a+h) - 1[/tex]
[tex]f(a+h) = 4a+4h - 1[/tex]
Solving (c):f(a + h) - f(a)h
[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]
Substitute values for f(a + h) and f(a)
[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]
Open bracket
[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]
Collect like terms
[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]
[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet.
Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
x -8 = -11 what is X?
Answer:
x=-3
Step-by-step explanation:
How?
so the easiest and quickest way to answer these type of questions are to do the opposite.
so -11+8=-3
if you get a question like
3x+2=17
17-2=15
15 divided by 3=5
so x=5
hope that helps
thank you
What does it mean to be “in the red?”
a.
You have more credits than debits.
b.
You have more debits than credits.
c.
You cannot find your financial records.
d.
Your financial records are inaccurate.
Answer:
b.
You have more debits than credits.
Step-by-step explanation
Being in the red means that you are in debt so im 90% sure its B
If you get this wrong then i am very sorry.This is my input :)
Answer:
B
Step-by-step explanation:
In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.
If the credit balance is more than the debit balance on income statement, there is a profit.
Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.
Find the unknown number 10% of what number is 300
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°
a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3
5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)
tan =
9514 1404 393
Answer:
4. b =-√(3)/3
5. 1/2
Step-by-step explanation:
4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...
tan(150°) = -(√3)/3
__
5. The cotangent is the inverse of the tangent, and vice versa.
tan = 1/cot
tan(θ) = 1/2
15 points really need the right answer :(
Answer:
-4x^9
Step-by-step explanation:
What is the formula for area of Parallelogram
Answer:
See below
Step-by-step explanation:
Area of parallelogram = base * height
Answer:
A= b×h
Step-by-step explanation:
b= base
h= height
hope it helped
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample
Answer:
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Within 4 years of the actual mean
We have to find n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.056\sqrt{n} = 4\sigma[/tex]
[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]
[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]
[tex]n = (\frac{4\sigma}{2.056})^2[/tex]
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)
6999999 huhuijuu harder daddy
The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
Answer:
21.3 m
Step-by-step explanation:
I really need help pls ty
Answer:
m<3 = 58
Step-by-step explanation:
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PLEASE HELP what is the solution to |2x-8|<2
Answer:
A
Step-by-step explanation:
You have two inequalities:
2x-8<2 = 2x<10 = x<5
-2x+8<2= -2x<-6 = x>3
Combine the two to get 3<x<5
Hope this helps!
Answer and Step-by-step explanation:
The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.
This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as | | )
So, any number thats between 3 and 5 will work, as it will be less than 2.
#teamtrees #POG (Plant Our Garden)
plz help right now plz
GRAPH f(x)=-|x-5|
i need the endpoint and then any other point
Answer:
The highest point is at (5, 0)
Another point on this graph is (6, -1)
The graph and explanation are below.
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896
Answer:
8.154 - 0.05
751 602 - 50 000
1 567 324 896 - 500 000 000
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
help please!
will give brainliest
Answer:
The answers will placed according to the order that they were given
6.93
15.75
17.64
6.93
Step-by-step explanation:
13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?
Graph the linear equation. Find three
points that solve the equation, then
plot on the graph.
3x - 4y = -18