Answer: Width = 5.5ft
Length = 18ft
Step-by-step explanation:
Let the width of the rectangle be x
Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:
= (2 × x) + 7 = 2x + 7.
Therefore, length × width = area
x × (2x + 7) = 99
2x² + 7x = 99
2x² + 7x - 99 = 0
2x² + 18x - 11x - 99 = 0
2x(x + 9) - 11(x + 9) = 0
(2x - 11) = 0
2x = 0 + 11
2x = 11
x = 11/2
x = 5.5
The width is 5.5ft
Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft
What is the elasped time of 7:41 pm and 8:50 pm
Answer:
about 1 hour and 9 minutes or 69 minutes
Step-by-step explanation:
I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answer:
53.76 cm3
Step-By-Step Explanation
If a =5 and b=3 what is the value of the 2a-3b+3a
Answer:
If a = 5 and b = 3, then that means 2a - 3b + 3a = 16
Step-by-step explanation:
2a - 3b + 3a
(2×5) - (3×3) + (3×5)
10 - 9 + 15 = 16
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
Please help this is very important to my grade
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)
Answer:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Required
The inverse function
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Replace f(x) with y
[tex]y = \frac{2x}{7} + 4[/tex]
Swap x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Multiply through by 7
[tex]7x = 2y + 28[/tex]
Solve for 2y
[tex]2y = 7x - 28[/tex]
Solve for y
[tex]y = \frac{ 7x-28}{2}[/tex]
Factorize
[tex]y = \frac{ 7(x-4)}{2}[/tex]
Write as:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
xy^-3 is equivalent to ______
Answer:
xy3 your welcome tell me if I got it right ✅
The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?
Answer:
$8.5 per hours
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Answer:
8.5
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
URGENT PLZ HELP
use the graph to write an equation of the line
Solve for x.
x + 14
5x - 74
x = [?]
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
x + 14 = 5x - 74 (corresponding angles are equal to each other)
[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]
Answer:
22
Step-by-step explanation:
Angles x + 14 and 5x - 74 are adjacent angles.
Adjacent angles are equal.
5x - 74 = x + 14
5x - x = 14 + 74
4x = 88
x = 88 / 4
x = 22
CAN SOMEONE HELP ME PLEASE ASAP
Answer:for the permieter dont you just add both sides?
Step-by-step explanation:
Justin has a 2pound bag of Lima beans that he want to divide between 3families.how many pound of Lima beans should each family's receives? A. 3/2 pound b.2/3 c.2 1/3 pound d.3 1/3 pounds
Answer:
2/3 pounds of lima beans
Step-by-step explanation:
2 divided by 3 = 2/3 = 2/3
Hope this helps!
Answer:
2/3 pounds (Option B)
Step-by-step explanation:
Using unitary method ,
3 families will receive = 2 pounds of lima beans.
(Dividing both the sides by 3)
⇒ [tex]\frac{3}{3}[/tex] family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans
⇒ 1 family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans.
∴ Each family will receive 2/3 pounds of lima beans.
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58
Answer:
A is the answer it sounds more likely
For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.
What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:"If A and B are independent events then, P(A∩B) = P(A).P(B)"
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 ....................(1)
Now we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport)
= Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ......................(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, being a girl and playing a sport are Independent events.
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5 times the sum of 24 and 7
Answer:
Your answer should be 155!
Step-by-step explanation:
Sum means to add, so 24 + 7 = 31
31 x 5 = 155
I hope this helps!
A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.
What is Sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given,
5 times the sum of 24 and 7
Sum is nothing but addition.
When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.
Times means multiplication.
We have to convert 5 times the sum of 24 and 7 to expression.
When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.
5×(24+7)
Firstly we calculate value in parenthesis.
twenty four plus seven is thirty one.
5×31
The product of 5 and 31 is 155.
155
Hence 155 is the answer for 5 times the sum of 24 and 7.
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In the figure shown above, all the corners form right angles. What is the area of the figure in square units?
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.
What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 213
c. 185.4
d. 205.
Answer:
D) 205
Step-by-step explanation:
Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)
Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3
Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100
So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)
= 83 - 10 + 24 + 110 = 207
The closest to this calculated estimated figure ie 207, is 205.
Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
nana has a water purifier that filters 1/3 of the contaminates each hour
44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.
16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list
Answer:
I believe the answer is 64 x 12x
Step-by-step explanation:
16(12x)4 =
16 x 4(12x)
64 x 12x
Rewrite log44=1 in exponential form.
Answer:
The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].
Step-by-step explanation:
After some research in the web, we find that correct statement is:
Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.
We obtain its exponential form by using the definition of logarithm:
[tex]4^{\log_{4} 4} = 4^{1}[/tex]
[tex]4 = 4^{1}[/tex]
-4(y - 2) = 12
y = ?
Answer:
Hello! answer: -1
Hope that helps!
Right Triangles
Solve the right triangle shown in the figure
∠C = 90°, BC = 7.50mi, AC = 11.43mi
a. AB = 19.5mi, ∠A = 31.2°, ∠B = 58.8°
b. AB = 16.mi, ∠A = 35.2°, ∠B = 54.8°
c. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
d. No triangle satisfies the given conditions.
Please select the best answer from the choices provided
Answer:
C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
Step-by-step explanation:
I calculated it logically
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.
음
Х
?
Recheck
Try again
Answer:
f(x) = -4x² - 24x - 38
Step-by-step explanation:
f(x )= -4(x + 3)² – 2
Expand the squared term
f(x) = -4 (x² + 6x + 9) - 2
Distribute the -4
f(x) = (-4x² - 24x - 36) - 2
Combine like terms
f(x) = -4x² - 24x - 38
HELP ME PLEASEEEEEEEEEEEE
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?
Answer:
It is in the thousandths place
Step-by-step explanation:
The first number after the decimal is the tenths place. 0.006
The second number after the decimal is the hundredths place. 0.006
The third number after the decimal is the thousandths place. 0,006
Hope this helps!
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]