Answer:
[tex]\sqrt{12}[/tex] units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 2² = 4²
x² + 4 = 16 ( subtract 4 from both sides )
x² = 12 ( take the square root of both sides )
x = [tex]\sqrt{12}[/tex] units
which can be simplified to 2[tex]\sqrt{3}[/tex] units , if required.
A function is defined as y = 2x + 4 with the domain of all real numbers greater than or equal to 4. What is the range of the function?
Answer: y => 12
y is greater than or equal to 12
Step-by-step explanation:
So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.
In simple term, the domain is x => 4, x is greater than or equal to 4.
Using that we can substitute the x in the function by 4.
y = 2(4) + 4
y = 8 + 4
Which gave us the answer of 12.
Since the domain can be anything greater than 4 or 4. We can expect the
same for the range.
Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...
Ex. y = 2(5) + 4
y = 10 + 4
y = 14
Ex. y = 2(4.5) + 4
y = 9 + 4
y = 13
Please helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
[tex] \frac{6}{24} = \frac{x}{28} \\ \\ x = \frac{ \cancel6 \times \: 28}{ \cancel{24} \: \: \:\red{\bold {4}} } \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]
In a theater, there are 20 seats in the first row. Each row has 3 more seats than the row
ahead of it. There are 35 rows in the theater.
a. Express the number of seats in the nth row of the theater in terms of n.
b. Use sigma notation to represent the number of seats in the theater.
Answer:
b. Use sigma notation to represent the number of seats in the theater.
3 drinks and 2 pretzels costs $16, but 5 drinks and 5 pretzels costs $31.25. What is the price
of one pretzel and one drink?
Answer:
7.125
and 5.1
Step-by-step explanation:
I've been stuck on this question for so long
If you reflect the rectangle across either the horizontal or the vertical line going straight through the middle, you will reflect it onto itself (see image).
The equation for the horizontal line is y = -1. The equation for the vertical line is x = -1.
does this figure have symmetry?
A)
Yes, because if you fold it in half, both halves match up
b) No, because if you fold it in half, both halves do not match up.
c) No because if you rotate it 90 degrees, it does not carry onto itself.
D) Yes, because if you rotate it less than one full turn, the figure carries onto itself.
What is the M.A.D for 5 10 15 20 25
Answer:
6
Step-by-step explanation:
Find mean
Find. Absolute deviation=[Xi-mean]
Find mean deviation
When adding rational numbers with the same sign, you must
Answer:
put one number in front of the other
Drag the labels to the correct locations on the image. Not all labels will be used.
Consider function h.
Answer:
-∞ < y < ∞
Step-by-step explanation:
Range corresponds to the values on the y-axis and Domain corresponds to values on the x-axis. Here if see the graph the range depends on values on y-axis and we can see that the the graph goes to -∞(-negative infinity) to +∞(positive infinity) so the answer is
-∞ < y < ∞
Answer:
The range is -∞< y < ∞, below is the explanation of how to get range.
Step-by-step explanation:
Given:
Graph of a function h(x).
To find:
The range of the function in inequality notation.
The range is all possible y-values of the function. Let's find all possible y values from the graph.
If we see the graph, it has a vertical asymptote at x=1 and a slant asymptote.
But it tool all y values from -infinity to infinity.
So, we can write range as -∞< y < ∞ because both sides of the function go and so on below the x-axis and go and so on above the x-axis.
The range is -∞< y < ∞ .
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PLEASE HELP ME ON MY RECENT QUESTION WILL GIVE BRAINLIEST ON IT
IF YOUR NOT GOOD AT MATH THEN YOU MIGHT NOT BE ABLE TO ANSWER
Answer:
ok i will look at it :)
Step-by-step explanation:
Answer:
Ok, I will try!!! :D
What is your recent question, btw....you most recent is ELA
Question 33 (1 point)
(04.01)
Which of the following best defines
2/3^3
a
Square root of 9
B
Cube root of 9
C
Cube root of 3
D
Square root of 3
Answer:
A
Step-by-step explanation:
Answer:
when I finish the test I will tell you the right answerer
Step-by-step explanation:
When a rubber ball is dropped on a particular surface , It bounces back to 8/10 of drop height. The ball's height after bounce x is * (8/10) ^ x times its drop height . What fraction of its drop height will the ball bounce up to after its fourth bounce ? Show your work
Answer:
The fraction of its drop height after the fourth bounce is
[tex]\displaystyle \frac{16}{625}[/tex]
Step-by-step explanation:
Let's suppose the rubber ball is dropped from a height H0. Every time the ball bounces back it reaches 8/10 of the initial drop height.
The ball's height H(x) after bounce number x is:
[tex]\displaystyle H(x)=H_o\left(\frac{8}{20}\right)^x[/tex]
Simplifying:
[tex]\displaystyle H(x)=H_o\left(\frac{2}{5}\right)^x[/tex]
After the fourth bounce, the height is:
[tex]\displaystyle H(4)=H_o\left(\frac{2}{5}\right)^4[/tex]
[tex]\displaystyle H(4)=H_o\frac{2^4}{5^4}[/tex]
[tex]\displaystyle H(4)=H_o\frac{16}{625}[/tex]
The fraction of its drop height after the fourth bounce is
[tex]\mathbf{\displaystyle \frac{16}{625}}[/tex]
State two equivalent ratios of 18:36
Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers? Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
Answer:
11 and 12
Step-by-step explanation:
Let the consecutive integers be x and x+1
The lesser integer = x
The greater integer = x+1
Two times the greater of two consecutive integers is expressed as;
2(x+1) = 2x+2.
9 less than three times the lesser integer is expressed as;
3x - 9
Equate both expression
2x+2 = 3x - 9
2x-3x = -9-2
-x = -11.
x = 11
The greater integer = x+1 = 11+1 = 12
Hence the integers are 11 and 12
Answer:
11 and 12
Step-by-step explanation:
credit:answer above me
State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment
Answer:
A) Null hypothesis: H0: p_o ≤ 0.2
Alternative hypothesis: Ha: p_o > 0.2
B) Null hypothesis: H0: μ = 3
Alternative hypothesis: Ha: μ ≠ 3
C) Null hypothesis: H0: p_o ≥ 0.15
Alternative hypothesis: Ha: p_o < 0.15
D) Null hypothesis: H0: μ ≤ 10
Alternative hypothesis: Ha: μ > 10
E) Null hypothesis: H0: μ = 15
Alternative hypothesis: Ha: μ ≠ 15
Step-by-step explanation:
A) Null hypothesis: H0: p_o ≤ 0.2
Alternative hypothesis: Ha: p_o > 0.2
B) Null hypothesis: H0: μ = 3
Alternative hypothesis: Ha: μ ≠ 3
C) Null hypothesis: H0: p_o ≥ 0.15
Alternative hypothesis: Ha: p_o < 0.15
D) Null hypothesis: H0: μ ≤ 10
Alternative hypothesis: Ha: μ > 10
E) Null hypothesis: H0: μ = 15
Alternative hypothesis: Ha: μ ≠ 15
Lindsay Skyler and Valerie are sisters Lindsey is 8 years older than Skyler Skyler is 5 years older than Valley who is 16 years old how old is Lindsay
Answer:
valley is 16
skyler is 21
lindsay is 29
hope this helps!
Let u = ⟨9, –2⟩, v = ⟨–4, 3⟩, and w = ⟨5, 1⟩. Kelcy incorrectly determined 3u – 5(v + w) to be ⟨32, –26⟩. Review her steps as shown.
3u – 5(v + w)
3⟨9, –2⟩ – 5[⟨–4, 3⟩ + ⟨5, 1⟩]
⟨27, –6⟩ – 5[⟨–1, 4⟩]
⟨27, –6⟩ + ⟨5, –20⟩
⟨32, –26⟩
What mistake did Kelcy make?
Answer:
She added incorrectly
Step-by-step explanation:
Answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead of taking 1 because -4 +5 is 1.
What are Vectors?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Let u = ⟨9, –2⟩, v = ⟨–4, 3⟩, and w = ⟨5, 1⟩
3u – 5(v + w)
3(9, -2)-5(⟨–4, 3⟩+⟨5, 1⟩)
Multiply 3 to (9, -2) and add v and w
(27,-6)-5(1,4)
(27, -6)-(5, 20)
Subtract the vectors
(27-5, -6-20)
(22, -26)
The answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead f taking 1 because -4 +5 is 1.
Hence, answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead f taking 1 because -4 +5 is 1.
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The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W=7+2X . What are the mean and standard deviation of W ?
Answer:
The mean and standard devaition of W are 6 and 31 respectively.
Step-by-step explanation:
Given that:
W = 7 + 2X
Variance (W) = Variance(7 + 2X)
For a term constant term, the variance is zero.
So;
[tex]W = Var (2X)[/tex]
W = 4 × Var(X)
W = 4 × (SD (X))²
W = 4 × (3)²
W = 4 × 9
W = 36
Thus, Variance (W) = 36
The standard deviation of W = [tex]\sqrt{variance}[/tex]
W = [tex]\sqrt{36}[/tex]
W = 6
Also;
E(W) = E(7 +2 X)
E(W) = 7 + 2 × E(X)
where;
mean X = 12
E(W) = 7 + 2(12)
E(W) = 31
Thus, the mean and standard devaition of W are 6 and 31 respectively.
The mean and the standard deviation of W are 31 and 6 respectively.
The given parameters are:
[tex]\mathbf{\bar x_x = 12}[/tex]
[tex]\mathbf{\sigma_x = 3}[/tex]
The definition of W is given as:
[tex]\mathbf{W = 7 + 2X}[/tex]
This means that:
[tex]\mathbf{Var(W) = Var(7) + Var(2X)}[/tex]
So, we have:
[tex]\mathbf{Var(W) = 0 + Var(2X)}[/tex] --- the variance of a constant term is 0
[tex]\mathbf{Var(W) = Var(2X)}[/tex]
This gives
[tex]\mathbf{Var(W) = 2^2 \times Var(X)}[/tex]
We have:
[tex]\mathbf{Var(X) = \sigma^2_x}[/tex]
So, the equation becomes
[tex]\mathbf{Var(W) = 2^2 \times \sigma^2_x}[/tex]
[tex]\mathbf{Var(W) = 2^2 \times 3^2}[/tex]
[tex]\mathbf{Var(W) = 36}[/tex]
The standard deviation is then calculated as:
[tex]\mathbf{\sigma_W = \sqrt{Var(W)}}[/tex]
[tex]\mathbf{\sigma_W = \sqrt{36}}[/tex]
[tex]\mathbf{\sigma_W = 6}[/tex]
The mean is then calculated as:
[tex]\mathbf{E(W) = E(7 + 2X)}[/tex]
This gives
[tex]\mathbf{E(W) = 7 + 2E(X)}[/tex]
So, we have:
[tex]\mathbf{E(W) = 7 + 2 \times 12}[/tex]
[tex]\mathbf{E(W) = 31}[/tex]
Hence, the mean and the standard deviation of W are 31 and 6 respectively.
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Step-by-step explanation:
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Find the arithmetic means between 42 and 86
Answer:
The arithmetic between 42 and 86 is 44
Step-by-step explanation:
Compare using >, <, or =,
64 ounces
4 pounds
Answer:
64 ounces = 4 pounds
Step-by-step explanation:
HELPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!
Answer:
15: B. 6
16. D. 12.5
17. B and D
Step-by-step explanation:
the perimeter of a triangle is 29cm. the three sides lengths (all measured in cm) of the triangle are 8, 12 and x. Write and solve an equation to find x.
Step-by-step explanation:
We have 8 + 12 + x = 29.
Solving, we get x + 20 = 29, x = 9.
Answer:
9 cm
Step-by-step explanation:
The perimeter of a polygon is the sum of the lengths of all the sides of the polygon.
If a polygon is a triangle, and its 3 sides have length a, b, and c, then the perimeter is the sum of a, b,, and c.
perimeter = a + b + c
Here, the perimeter = 29 cm
The lengths of the sides are a = 8 cm, b = 12 cm, c = x.
8 + 12 + x = 29
x + 20 = 29
x = 9
Answer: 9 cm
What is the slope of(-4,5) to (-12,8)
Answer:
-3/8
Step-by-step explanation:
I would use a table
x y
-4 5
-12 8
from -4 to -12 you subtract -8
from 5 to 8 you add 3
so y/x = 3/-8
The slope is - [tex]\frac{3}{8}[/tex]
Hope this helped!
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is the population this year?
Answer:
This population, the population is 45 fish.
Step-by-step explanation:
This problem can be solved by a rule of three.
Last year there were 60 fish in the lake. That was 100, that is, decimal 1.
This year it decreased 25%. So there 100%-25% = 75%, that is decimal 0.75. So
60 fish - 1
x fish - 0.75
x= 60*0.75
x=45
This population, the population is 45 fish. Please make the brainliest.
60-25% of 60 =number of fish this year
60-25/100 x 60
60-15
45 fish are present in the lake
Fred weighs 40 pounds less than twice Barney. Their combined weight is 320 pounds. Let F = Fred's weight in pounds and B = Barney's weight in pounds. Write a system to represent the situation. DO NOT SOLVE.
Answer:
Step-by-step explanation:
Using the information provided we can create two different equations for this system. The first of which would be Fred's overall weight, while the second equation would be Fred's and Barney's combined weight. These equations would be the following...
F = 2B - 40
320 = F + B
As requested I will not solve the system of equations and leave them as they are.
Angle relationships worksheet #2
Answer:
You didn't put the worksheet.
I need not just the answer but the work written out
Answer:
A(3) = -6 + (3 - 1) (5)
-6 + (2)(5)
-6 + (10)
4
A(4) = -6 + (4 - 1) (5)
-6 + (3)(5)
-6 + 15
9
A(10) = -6 + (10 - 1) (5)
-6 + (9)(5)
-6 + 45
39
Mark takes out a $238,000 mortgage for 30 years. Instead of paying his monthly payment of $1,220.09, he decided to pay $1,420.09. This leads to Mark paying off the entire mortgage in 22 years and 5 months. Mark calculates the percent of the total loan he pays back in interest with and without the extra payments. What is the difference between Mark's calculated percentages?
Answer:
24.04%
Step-by-step explanation:
Given that:
Mortgage = $238,000
Number of years = 30
Monthly payment without extra payment= $1220.09
Monthly payment with extra payment = $1420.09
Total amount paid :
Number of months * monthly payment
12 months = 1year
30 years = (30 * 12) = 360 months (without extra payment)
22 years 5 months = (22 * 12) + 5 = 269 months (with extra payment)
Amount paid without extra payment :
$1220.09 * 360 = $439232.4
Percentage of total loan paid as interest :
((439232.4 - 238000) / 238000) * 100%
= 0.8455142 = 84.55%
Amount paid with extra payment :
$1420.09 * 269 = 382004.21
Percentage of total loan paid as interest :
((382004.21 - 238000) / 238000) * 100%
= 0.6050597 = 60.51%
Difference between percentages:
84.55% - 60.51% = 24.04%
Matthew bought 6 pairs of shoes for $160.80. If each of the pairs of shoes cost the same amount, what is the unit rate for a pair of shoes?
Answer:
$26.80/shoe
Step-by-step explanation: