Answer:
Find the radius.
Step-by-step explanation:
The task is to solve for area of a circle, and you are given the diameter.
The formula for area is :
Area of a circle = π × (radius)²
In this formula, there is only one input value, and that is the radius.
To find the radius, you must know the relation :
Radius x 2 = Diameter
Hence, the radius must be computed first and foremost.
Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. if $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 + a_{10} = 15$, what is the value of $a_1$?
giving brainliest>
Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have
[tex]a_2 = a_1 + d[/tex]
[tex]a_3 = a_2 + d = a_1 + 2d[/tex]
[tex]a_4 = a_3 + d = a_1 + 3d[/tex]
and so on, with the general [tex]n[/tex]-th term
[tex]a_n = a_1 + (n-1) d[/tex]
Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :
[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]
[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]
[tex]\implies 5a_1 + 20d = 17[/tex]
and
[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]
[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]
[tex]\implies 5a_1+25d= 15[/tex]
Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :
[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]
[tex]\implies 5a_1 = 25[/tex]
[tex]\implies \boxed{a_1 = 5}[/tex]
Grandma Margie made 12 blankets for her grandkids. The ratio of striped to non striped blankets were 2:4. How many blankets were striped
Answer:
Total Ratio = 2+4
=6
Striped blankets = 2/6 × 12
= 4 Striped Blankets
Step-by-step explanation:
Can't really explain
Need help please. Determine whether the statement is true or false.
Answer:
false
Step-by-step explanation:
Suppose a jar contains 11 red marbles and
21 blue marbles. If you reach in the jar and
pull out 2 marbles at random at the same
time, find the probability that both are red.
Answer:
There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.
Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.
Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.
For the function f(x) = x2
Find f(5) =
Find f(-5) =
Answer:
25
Step-by-step explanation:
..............
please help awnser this question correctly
I really need help pls
Answer:
126
Step-by-step explanation:
Answer:
the answer us 140
Step-by-step explanation:
the answer is 140 because if you add them all the answer will come 140 but if we divide it or multiply it the answer will not come so the answer is 140
Please Help! I got 81.9% and used x = (mean - average) / standard deviation and then subtracted.
The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.
a. About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.
Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 142, \sigma = 32[/tex].
Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:
X = 174:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{174 - 142}{32}[/tex]
Z = 1
Z = 1 has a p-value of 0.841.
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 142}{32}[/tex]
Z = -2
Z = -2 has a p-value of 0.023.
0.841 - 0.023 = 0.818 = 81.8%.
81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
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A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. customers can choose from 4 drinks, 5
main dishes, and sides
how many different combo meals are possible?
customers cani create choose.
v different lunch combo meals.
There are 20 possible different combination of meals
How to determine the number of combo meals?The given parameters are:
Drinks = 4
Main dishes = 5
The number of different meals is calculated as:
Meals = Drinks * Main dishes
So, we have:
Meals = 4 * 5
Evaluate
Meals = 20
Hence, there are 20 possible different combination of meals
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I WILL CHOOSE BRAINLYEST please asap need help
Answer:
a. is not proportional and b. is proportional
Step-by-step explanation:
a. constant is 1 and b. constant is -2
Please help the best answer will get brainliest
Answer:
164 cm^2
Step-by-step explanation:
Total surface area = 2 * area of triangle + areas of the 3 rectangles
= 2 * 1/2 * 5 * 4 + 5 * 9 + 5 * 9 + 6 * 9
= 20 + 45 + 45 + 54
= 164 cm^2
I just need what’s missing
Answer:
$0.88/lb
Step-by-step explanation:
The end result of this units conversion is found by multiplying the fractions in the usual way. The numerator is the product of the numerators; the denominator is the product of the denominators. Of course, the division must be carried to completion to arrive at the unit price.
__
[tex]=\dfrac{26.29\times0.074\times1}{1\times1\times2.2}\ \dfrac{\text{dollars}}{\text{lb}}=\dfrac{1.94546}{2.2}\ \dfrac{\text{dollars}}{\text{lb}}\approx\boxed{0.88\ \dfrac{\text{dollars}}{\text{lb}}}[/tex]
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Using the concept of a proportional relationship, it is found that the correct option regarding the graph is given by:
No, it is not a proportional relationship because the graph does not go through the origin.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
From the equation above, the first step is that in a proportional relationship, the map must go through the origin, that is, it must pass through the point (0,0). In this problem, it does not passes through the origin, as it passes in (0,2), hence the correct option is given by:
No, it is not a proportional relationship because the graph does not go through the origin.
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10 cans of mushrooms cost $27.80. The cost of each can is the same. What is the cost of
each can?
Answer:
This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount. To do this we need to $ to be on the top and the can on the bottom because we say price PER can.
[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]
[tex]\frac{\$27.80}{10\ cans}[/tex]
[tex]\$2.78\ per\ can[/tex]
Therefore, our final answer is that each can costs $2.78
Hope this helps! Let me know if you have any questions
The area of rectangle is 60inc * h ^ 2 If its breadth is 5 inch, find the length of breadth in ft.
Hey ! there
Answer:
Length of breadth in ft is 0.416 ft .Step-by-step explanation:
In this question we are given area of rectangle that is 60 inches square and its breadth is 5 inch . We are asked to find the length of breadth in ft .
SOLUTION : -
For changing " in " into " ft " we need to divide the given inch value by 12. So Dividing 5 inches by 12 :
[tex] \quad \dashrightarrow \qquad \: \dfrac{5}{12} [/tex]
We get :
[tex]\quad \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{0.416 \: ft}}}} \quad \bigstar[/tex]
Henceforth , length of breadth in ft is ❝ 0.416 ft ❞ .#Keep LearningHi, please choose the correct answer. please
Answer:
y = -x + 1
Step-by-step explanation:
I just checked it in the desmos graphing calculator and it was correct.
Answer:
y = -x + 1.
Step-by-step explanation:
The graph rises to the left so has a negative slope.
slope = -1 and y-intercept = 1
19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56
Answer:
b.42
Step-by-step explanation:
the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.
so then total number of frogs is 42.
what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?
The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.
What is Distance Formula?Algebraic expression that gives the distances between pairs of points in terms of their coordinates
Given that: U(7,9), V(0,5), W(-6,-3) ,X(1,1)
The length can be find by using Distance Formula,
Length of UV,
= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]
= [tex]\sqrt{49+16}[/tex]
= √65 units
Length of VW,
= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]
= [tex]\sqrt{36 + 64}[/tex]
=√100 units
= 10 units
Length of WX,
=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]
= √49+ 14
= √65 units
Length of XU,
= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]
= √36+64
=√100 units
= 10 units
Length of UW,
= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]
= √169+144
=√313 units
Length of VX,
= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]
= √1+16
=√17 units
Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.
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please help!! need this done by today or it will affect my matriculation
Select the dot plot with the least variability.
The dot plot with the least variability will be C.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.
The dot plot with the least variability will be C.
The graph is given below.
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The lifespan of a pair of shoes is normally distributed with a mean of
24 months and a standard deviation of 6 months. what is the
probability that a new pair of shoes won't last longer than 18 months?
a)8%
b)50%
c)23%
d)16%
e)34%
Find the prime factorization of 945
Answer:
3 × 3 × 3 × 5 × 7
Rewrite 3* = 27 as a logarithmic equation.
Answer:
[tex]\log_3(27)=x[/tex]
Step-by-step explanation:
[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]
Answer:
Step-by-step explanation:
The area of a square is 17 square feet which measure is closest to the length of one side of the square
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
As we know, Area of a square can be represented as :
[tex]\qquad \sf \dashrightarrow \:area = side {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:a = s {}^{2} [/tex]
now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides
[tex]\qquad \sf \dashrightarrow \:s {}^{2} = 17[/tex]
[tex]\qquad \sf \dashrightarrow \:s = \sqrt{17} [/tex]
[tex]\qquad \sf \dashrightarrow \:s \approx4.12 [/tex]
so, the closest value is : B. 4.1 feet
Please help i need to pass math
Answer:
[tex]6 {x}^{2} - 5x - 4[/tex]
Step-by-step explanation:
[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]
Answer:
B
Step-by-step explanation:
topic: polynomials
Just add like terms
- Which expression is equivalent to
2√48-(2+√12) (5-√12)?
0-EIS
A. 2√3+2
B. 2√3-2
34
C. 4√3+17
p. 4√3-17
Swoled
4.
Answer:
A.
Step-by-step explanation:
2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))
2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))
2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))
8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)
8×sqrt(3) - 10 - 6×sqrt(3) + 12
2×sqrt(3) + 2
You score an 84 on the first of two exams. Write and solve an equation to find the score x that you need on the second exam to have a mean score of 92. I got the answer -76 I need to know if that's correct.
Answer: 100
Step-by-step explanation:
▪︎ To find the mean we take the sum of the values and divide it by the number of values.
▪︎ Let x be your score on the second exam.
(84 + x) / 2 = 92
84 + x = 92*2
84 + x = 184
x = 100
The results that Charles, Isabella and Naomi achieved in four tests are shown in
the table below. They want to see who has the most consistent results.
a) Which of the mean, median, mode or range should they calculate to help
them decide?
b) Who achieved the most consistent results?
Charles 46, 43, 39, 57
Isabella
69, 64, 62, 71
Naomi
94,80, 61,72
Answer:
Range & Isabella
Step-by-step explanation:
Part A:
Definitely not range mean or median, as that'll give you their average, not consistency. None of their tables show any repeating values, so not mode either, and range would be the most hopeful for this.
Part B:
The results with the smallest range would be the most consistent:
Charles:
Lowest value = 39 and Highest Value = 57
Range = 57-39 = 18
Isabella:
Lowest value = 62 and Highest value = 71
Range = 71-62 = 9
Naomi:
Lowest value = 61 and Highest value = 94
Range = 94-61 = 33
Isabella achieved the most consistent results. Hope this helps
Angad and Alex have played 40 tennis matches.
Angad has won 16 times.
Alex won the rest.
a) Estimate the probability that Angad wins.
b) Estimate the probability that Alex wins.
Answer:
estimate the probability that angad wins
Determine the square foot of logo 2 write it out in equation form I’ll give 100 points
Answer:
45 ft²
Step-by-step explanation:
Logo 2 comprises 5 congruent squares with side length 1/2 in
Given scale: 1 in = 6 ft
⇒ 1/2 in = 3 ft
Area of a square = s² (where s is the side length)
⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²
Therefore, the total area is:
⇒ area = 5 × 9 ft² = 45 ft²
In equation form:
A = 5(6s)²
where:
A = area (in ft²)s = side length (in inches)