Answer:
C. 60°
Step-by-step explanation:
The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.
Thus:
90° = ½(120° + arc TA)
Multiply both sides by 2
2*90 = 120 + arc TA
180 = 120 + arc TA
Subtract 120 from each side
180 - 120 = arc TA
60° = arc TA
Arc TA = 60°
A total of 2,839 people showed up to watch a band perform. The people were divided evenly among 8 equal sections of seats. How many people were seated in each section, and how many people were unable to to be seated?
Answer:
354.875
Step-by-step explanation:
Answer:
354 people were seated in each section and 7 people were unable to be seated.
Step-by-step explanation:
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80?
StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed’s savings is $140
2 s + 100; when s = 80 the latest balance of Ahmed’s savings is $260
s squared + 80; when s = 80 the latest balance of Ahmed’s savings is $6,480
s squared + 100; when s = 80 the latest balance of Ahmed’s savings is $6,500
Answer:
B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260
Step-by-step explanation:
We are given that the savings = $s and current amount $c.
Now, Ahmed has doubled his savings. This means that the new savings = $2s
Also, he had deposited $100.
So, the current amount of Ahmed is given by c = 2s + 100.
Moreover, if the savings is $80 i.e. s = 80, the current amount is,
c = 2 × 80 + 100
i.e. c = 160 + 100
i.e. c = 260
So, the current amount if savings is $80 is $260.
Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.
Which statement must be true?
Where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
[tex]P(Z<-2.5) =0.0062097[/tex]
Step-by-step explanation:
From the question we are told that:
Test statistic t =-2.5
Generally the equation for Test for statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=-2.5[/tex]
Therefore
P-value from Z table is
For left tailed test
[tex]P(Z<-2.5) =0.0062097[/tex]
therefore the P-value for the test is
[tex]P(Z<-2.5) =0.0062097[/tex]
A family is purchasing concrete in order to create a foundation for a rectangular outdoor
patio. The rectangular patio is to be 15 feet wide and 17 feet long. To meet
specifications, the concrete must be poured to a depth of 6 inches. Large amounts of
concrete can be purchased by the cubic yard. How many cubic yards of concrete will it
take to construct the patio. Round your answer to the nearest tenth.
Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.
The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
What is the Volume of a cuboid?The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.
As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.
Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.
[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]
Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,
[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]
[tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]
Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
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Please help!! ;w; Thanks in advance!!
Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?
Answer:
These I do know how to do!
probability of landing on blue: 2/8
probability of landing on a number greater then 7: 5/12 probability of getting both a number greater then 7 and blue: 5/48 Hope this helps!
EMERGENCY PLS HELP: Write a ratio that gives the tangent of
Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
If you want to learn more about percentages.
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I am Desperate for answer
The mean is 8 and the lower quartile is 6.
72+((59-5) ÷3^3) x 5 + 13
Answer:
95
Step-by-step explanation:
MRK AS BRAINLIEST!!
Answer:
95
Step-by-step explanation:
The owner of a music store wanted to box a shipment of 1,532 CDs in 36 boxes. If he puts them evenly in the 36 boxes, how many will be left over?
Answer:
The owner has
Step-by-step explanation:
36 x 36 = 1296, he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.
What are the coordinates of the vertex of the table?
Answer:
B
Step-by-step explanation:
I cant explain it but its B
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
2-20 3-28
Step-by-step explanation:
0-4
1-12
2-20
3-28
When age is 2 then the new squares appeared = 20
When age is 3 then the new squares appeared = 28
What is pattern?"It is a repeated arrangement of numbers, shapes, colors and so on. "
For given question,
Charlotte the turtle was born with 4 squares on her shell, as in the first picture below.
When she was 1 year old, 12 new squares appeared around the old squares, as in the second picture below.
Each year, a new group of squares appeared around the old squares.
We find the same pattern to find the new squares appeared when she is 2 and 3 years old.
When she is 2 years old then the new squares appeared around the old squares, as shown below.
There are 20 new squares appeared around the old squares.
When she is 3 years old then the new squares appeared around the old squares, as shown below.
There are 28 new squares appeared around the old squares.
Therefore, when age is 2 then the new squares appeared = 20
when age is 3 then the new squares appeared = 28
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la tristeza es una magnitud
En este estudio, la depresión, la ansiedad y el estrés generales fueron significativamente altos. Hay varios factores asociados con la depresión, la ansiedad y el estrés. Diseñar e implementar str a medida
Espero que esto te ayude ❤️
a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
Find the common difference of the arithmetic sequence -5, -14, -23, ...
Answer:
-9
Step-by-step explanation:
Given :-
A Arithmetic sequence -5 , -14 , -23 ...And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.
Sequence :-
[tex]:\implies[/tex] -5 , -14 , -23
Common difference :-
[tex]:\implies[/tex] CD = -14 -(-5) = -14+5=-9
[tex]:\implies[/tex] CD = -23-(-14) = -23+14=-9
Hence the common difference is (-9) .
Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14
Answer:
[tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
Step-by-step explanation:
The equation of the curve is
[tex]Y = sin^{-1}(7x)[/tex]
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
[tex]Y'=\frac{7}{\sqrt{1-49x^2} }[/tex]
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is [tex]x = \sqrt{\frac{1}{7} }[/tex]
Then slope would accordingly be
[tex]Y'=\frac{7}{\sqrt{1-49/49} }[/tex]
= ∞
For, [tex]x = \sqrt{\frac{1}{7} }[/tex], [tex]Y = sin^{-1}(7/7)= \pi/2[/tex]
Equation of tangent line, in the point slope form, would be [tex]Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})[/tex]
PLZZZZZZ HELLLPPPPPPPPPPP
Answer:
1
Step-by-step explanation:
(5x+3)(5x+3)gghhhhhhhh
Answer:
25x^2 + 30x + 9
what's the equation of this table
1 13
2 17.5
3 22
4 26.5
Answer:
y = 4.5x + 8.5
Step-by-step explanation:
this is true
: Marjorie is a 50% partner in Callie's Candies. Under the terms of the partnership agreement, she is to receive 50% of partnership income, but no less than $30,000. If the Partnership's net income for the year is 90,000 what amount of income does Marjorie earn from this partnership? ?
Answer:
$45,000
Step-by-step explanation:
Income = percentage of income she receives x income
50% x 90,000
0.5 x 90,000 = 45,000
Please help. What is the surface area. This is urgent!
Answer:1733.28
square inches I think
Answer:
1733.28 in^2.
Step-by-step explanation:
The radius r = 1/2 the diameter = 1/2 *12 = 6 inches.
SA = 2*3.14*6^2 + 2*3.14*6*40
= 1733.28 in^2.
Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together.
Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.
Answer:
6.16 hours
Step-by-step explanation:
Let the number of hours that washed the car together = T
Number of hours Matthew washed = m = 14 hours
Number of hours Arianna washed = a = 11 hours
The formula to calculate how many they wash the cars together is given as
1/a + 1/m = 1/T
1/14 + 1/11 = 1/T
Lowest Common Denominator = 154
Hence:
(11 + 14)/154 = 1/T
25/154 = 1/T
Cross Multiply
154 × 1 = 25 × T
T = 154/25
T = 6.16 hours
Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together
Answer:
below
Step-by-step explanation:
A)1 can be interpreted as the job, the project, the whole thing or all of the cars
B)rate* time = amount of work (a bit like rate*time = distance for figuring how far you go at a certain speed)
C)multiply both sides by 14 hours/1 job and simplify to get t=14hours
D) ok, now we do the 2nd fraction 1/11 we want its bottom to be 154, like: 1/14 - 11/11
E)t=154/25=t= 6.16 hours
What is the first step to solve the equation 5x-6=44?
Answer:
Muliply 5 x6 then minus
Step-by-step explanation:
The inverse of the function f(x) = one-half x plus 10 is shown. H(x) = 2x- What is the missing value?
Answer:
The missing term is 20
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{2}x + 10[/tex]
[tex]h(x) = 2x -[/tex] --- inverse of f(x)
Required
Complete h(x)
We have:
[tex]f(x) = \frac{1}{2}x + 10[/tex]
Express f(x) as y
[tex]y = \frac{1}{2}x + 10[/tex]
Swap x and y
[tex]x = \frac{1}{2}y + 10[/tex]
Multiply through by 2
[tex]2x = y + 20[/tex]
Make y the subject
[tex]y = 2x - 20[/tex]
Replace y with the inverse function
[tex]h(x) = 2x - 20[/tex]
Compare
[tex]h(x) = 2x - 20[/tex]
with
[tex]h(x) = 2x -[/tex]
The missing term is 20
Answer:
its d on edge
Step-by-step explanation:
If the critic rates a total of 100 restaurants what is the best prediction for the number of restaurants she gives exactly 3 stars
Answer:
Probability = 1 / 5
Step-by-step explanation:
Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.
So, probability of 3 stars = Outcomes with 3 stars / Total outcomes
= 1 / 5
a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must the diver rise to return to the surface?
Answer:
31 1/6 feet
Step-by-step explanation:
add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6
25 4/6 + 5 3/6 = 30 7/6
30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet
Select the correct answer from each drop-down menu. The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes. The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %. The probability of a randomly selected student completing the test in 95 minutes is %.
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu.
We solve using z score formula
z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The average time taken to complete a test follows normal probability distribution with a mean of 70 minutes and a standard deviation of 25 minutes.
a) The probability of a randomly selected student completing the test in 45 minutes or less is approximately equal to %.
z = 45 - 70/25
b) The probability of a randomly selected student completing the test in 95 minutes is %.
z = 95 - 70/25
If f(x) =-2x+9 and g(x)=-4x^2+5x-3 ,find (f•g)(x)
Answer:
f(x)=-2x+9 g(x)=-4x^2+5x-3Now, f o g (x) = f{g(x)} = f(4x^2+5x-3) = 2(4x^2+5x-3) + 9 = 8x^2+10x-6 + 9
Step-by-step explanation:
Pilates never uses equipment other than a mat. O A True O B. False
Answer:
B. False
Step-by-step explanation:
broooooooooo why would it just be a mat nah it can be more smh