The length 11 cm is closer to the length of the diagonal of this square in centimeters.
How to determine the value of x?The equation is given as:
x^2 = 132
Take the square root of both sides
x = √132
Evaluate the square root
x = 11.49
Approximate
x = 11
This means that 11 is closer to the length of the diagonal of this square in centimeters.
Read more about diagonals at:
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Maya just turned 14 years old. Her parents started saving $350 each month for her college.
education when she was born. Her parents want to make sure there will be enough money in
her account by the time she turns 18 to cover tuition and expenses at an in-state, four-year
college. How much will Maya's parents need to raise their monthly contribution for the next 4
years if they want to save at least $80,000?
Answer:
$91.66
Step-by-step explanation:
We need to calculate how much they've saved so far. So we multiply 12 * 14 to get 168 months (14 years). Then we can multiply 350 by 168 to get $58,800.
We then subtract 58,800 from 80,000 to get 21,200 left to cover over 4 years. In 4 years, there are 48 months so we just divide 21,200 by 48 to get 441.66.
Subtract 350 from 441.66 to get 91.66.
We can check this by doing (350*168) + (441.66 * 48).
Hope this helps,
As always, correct me if I'm wrong
Answer:
Given :-
Money saved by her parents each month = $350
Time = 14 years = 14 × 12 = 168 months
To find :-
How much money ger parents have to save in next 4 years to achieve the goal of $80,000
Total money saved in 14 years = 350 × 168 = $58,800
Total money left to achieve goal = 80,000 - 58,800
= $21,200
Money they have saved next 4 years in each month to achieve the goal
[tex] = \frac{21200}{4 \times 12} \\ = \frac{21200}{48} \\ = 441.69 [/tex]
They need $441.69 each month to complete $80,000 for her college.
What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...
•-2
•-1/2
•1/2
•2
Please help (7th grade math)
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
The scatter plot shows the association between the ordered pairs
The two ordered pairs that can be joined to best draw the line of best fit for this scatter plot are (0, 13) and (10, 0)
How to determine the two best ordered pairs?To draw the line of best fit, the line must pass through at least two points such that the number of points on either sides of the line must be equal
See attachment for illustration
From the attached image of the graph, we can see that the line passes through the points (0, 13) and (10, 0), and there are 4 points on either sides
Hence, the two ordered pairs are (0, 13) and (10, 0)
Read more about scatter plots at:
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Answer: (0,13) and (10,0)
Step-by-step explanation:
I took the test on flvs.net
Which fraction is closest to 1 1/2?
Answer:
4/2
Step-by-step explanation:
Find number closest to 1.5
[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]
4/2 is closest to 1.5
Please mark brainliest!
PLLSS HELP ILL GIVE BRAINLIST PLLLLLSSSS
Identify the multiplication problem that matches the model.
3 x 3
3 x
3
5
2 x
3
5
3 x
A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of the two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years, 15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. Use a 0. 05 significance level to test the claim that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers
Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference among the proportions, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:
[tex]H_0: p_1 - p_2 < 0[/tex]
What is the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076[/tex]
[tex]p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{-0.022 - 0}{0.0125}[/tex]
z = -1.76.
What is the conclusion?Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Help Me (I am doing this on paper)
8
To rent a car, Jorge spent $415 in rental
fees plus $86 for insurance. He also paid
$2 per day for tolls, plus $5 per day for
roadside assistance. Jorge rented the car
for a total of 12 days.
Based on the expression below, what is
the total amount of money that Jorge
spent? (6.7A | Lesson 5)
1
415 +86 + 12(2 + 5)
the cone and sphere have equal volumes. what is the radius of the sphere? show your work
Answer:
sphere have a same diameter of cone so
the sphere have a diameter of 40 then the diameter is 40÷2=20
that's mean than the radios is 20
What expression represents the volume of the cone, in cubic units? two-thirdsπx3 four-thirdsπx2 2πx3 4πx3
The expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Volume of coneThe volume of a cone is given by the following formula presented below;
V = ¹/₃πr²h
where;
V is volume of the coner is radius of the coneh is height of the coneThe volume of a cone can be determined by multiplying the square of the radius and height of the cone.
Thus, the expression that represents the volume of the cone, in cubic units is ¹/₃πr²h.
Learn more about volume of cone here: https://brainly.com/question/20099462
Answer:
[tex]\frac{2}{3}[/tex] π x³
Step-by-step explanation:
PLEASE HELP! I WILL GIVE BRAINLIEST! NO LINKS PLEASE!!
Answer:
number of passengers is an independent variable, average speed depends on the number of passengers so its a dependent variable, liters of fuel used depends on average speed so its a dependent variable
Step-by-step explanation:
4 Suki watches a movie and eats a snack afterward. The movie starts at 7:15 PM
and is 1 hours long. Suki finishes her snack at 9:10 PM. How long does Suki
spend eating a snack?
Show your work.
It’s question 4 btw
25 minutes long
Explanation:Hope this helps!
Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?
For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!
Diagram to better understand maybe? (I did the best I could with this lol)
x (the 25 minutes you found once you solved it)
^
7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM
^ ^ ^
Time the movie started Movie length When she finished eating
♡ I am so proud of you! You are doing amazing and you are glowing! Keep up the great work and have a good day! ♡Choose the function whose graph is given below.
please What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want. PLEASE ANSWER QUICK
Answer:
Computer Science is more harder so I would go with Precalculus.
What is value of 22y-6
260
Step-by-step explanation:
11y + 6 =139
-6
11y. = 133
÷11
y. = 133/11
22y - 6
22 x 133/11 - 6
=260
Hope this helps!
Step-by-step explanation:
[tex]11y + 6 = 139 \\ 11y = 133 \\ y = 12.0909[/tex]
so,
[tex]22y - 6 \\ 22(12.1) - 6 \\ = 260[/tex]
Complete the equation of this circle:
A
1
[ ]=z([_]_^)+z([ ¿ ] − x)
Enter ⚠️NEED HELP ASAP WILL GIVE BRAINLIEST⚠️
Answer:
(x - 3)^2 + (y - 2)^2 = 4^2
Step-by-step explanation:
Looking at the graph its obviously a circle as it said.
We have to find (h,k) and the radius of that circle.
(h, k) = (3,2)
Origin to the edge of the A.
radius = 4
(x - 3)^2 + (y - 2)^2 = 4^2
please help :)))))))))))))
Answer:
C
Step-by-step explanation:
If that is wrong tell me. I am sure it is right tho
1: 542 mg =____g
2: 39 cm = ____m
3: 0.75 m =____cm
4: 6,367 mm= ___m
5: 6.5 g =___ mg
6:736 m = ___ km
7:12 g =____ kg
8:22 cm =___m
Determine which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time at which the egg reached the maximum altitude.
23.65 feet at 3 seconds
23.45 feet at 3 seconds
23.78 feet at 3.7 seconds
The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let us assume the height of the egg (h) at time t is given by:
h(t) = -16t² + 96t - 120.35
The maximum height is at h' = 0, hence:
h' = -32t + 96 = 0
-32t + 96 = 0
t = 3 sec
h(3) = -16(3)² + 96(3) - 120.35 = 23.65
The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds
Find out more on equation at: https://brainly.com/question/2972832
The circumference of a circle is 12π m. What is the area, in square meters? Express your answer in terms of π.
Answer:
π 36 m^2
Step-by-step explanation:
C = 2π R = 12π m --> R = 6m
A = π R^2 = π 36 m^2
Answer:
Area of circle = 36π m²Step-by-step explanation:
In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .
Solution : -
For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,
[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleBut as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .
Now, Radius :
[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]
Step 1 : Cancelling π and we get :
[tex] \longrightarrow \qquad \:12 = 2r[/tex]
Step 2 : Dividing both sides by 2 :
[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]
On further calculations we get :
[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]
Therefore , radius of circle is 6 m .Finding Area :
As we have find the radius of circle above so we can find its area easily . We know that ,
[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]
Now substituting value of radius :
[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]
[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]
[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]
We get :
[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]
Therefore, area of circle is 36π square metres .#Keep LearningSolve for the area of the complex figure below. Show your work and explain the steps you used to solve.
Round your answer to the nearest whole number.
Find the length of the unknown side using the Pythagoras theorem
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
Step-by-step explanation:
12
Answer:
a) 12
b) 11
c) 8
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]
a is the shorter side,
b is the longer side,
c is the hypotenuse.
a) [tex]a^2 + b^2 = c^2\\5^2+b^2=13^2\\25+b^2=169^2\\b^2=169-25\\b^2=144\\b=\sqrt{144}=12\\ b=12[/tex]
b)[tex]a^2 + b^2 = c^2\\a^2+60^2=61^2\\a^2+3600=3721\\a^2=3721-3600\\a^2=121\\a=\sqrt{121}=11\\ a=11[/tex]
c)[tex]a^2 + b^2 = c^2\\a^2+15^2=17^2\\a^2+225=289\\a^2=289-225\\a^2=64\\a=\sqrt{64}=11\\ a=8[/tex]
Omar baked 9 pizzas that weigh 20 1/4 lbs total. How much does each pizza weigh?
Answer:
2.25 or 2 1/4
Step-by-step explanation:
20 1/4 divided by 9 is 2 1/4 :)
Answer:
2.25 lbs each
Step-by-step explanation:
you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.
hope this helped
soccer player jumps up and heads the ball while it is 7 feet above the
It bounces up at a velocity of 20 feet
ground.
per second. How long will it
take the ball to hit the ground?
The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
What is vertical motion model?Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,
[tex]h(t)=-16t^2+v+t[/tex]
Here, t is time and v is velocity.
Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second. Thus, the vertical motion model for this situation is,
[tex]h(t)=-16t^2+20t+7[/tex]
When the ball hit the ground, the value of height (h) become zero. Thus,
[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]
On solving this quadratic, the value of x we get,
[tex]x=1.535,x=-0.285[/tex]
Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
Learn more about the vertical motion model here:
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Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer: 16
Step-by-step explanation:
Your friend shows you a coin collection. In it, 38/50 of the coins are quarters. What percent of the coins are quarters?
Answer: 76%
Step-by-step explanation: 38/50 × 100/1
A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?
Answer:
[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Note : the total number of students is 55
___________________________
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
p(A) = 40/55
p(B) = 15/55
[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]
Therefore,
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
[tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]
[tex]=\frac{50}{55}[/tex]
[tex]=\frac{10}{11}[/tex]
What is the product of 17 and 41
Answer:
697
Step-by-step explanation:
A product is an answer to a multiplication question
8374274 x 345
What is the answer?
Answer:
2,889,124,530
you purchase a used car for 5000 and discover that it decreases 10% per year write an equation that represents this situation
Answer:
See below
Step-by-step explanation:
Decreasing 10% means the car retains 90 % of its value
Value of car = 5000 ( .90)^x where x = number of years