Answer:
where is the figure?
u should upload the figure too
If S=4πr² , find
i) the value of S when r = 10
Answer:
S = 1256
Step-by-step explanation:
S = 4[tex]\pi[/tex][tex]r^2[/tex]
S = 4[tex]\pi[/tex][tex](10)^2[/tex]
S = 4[tex]\pi[/tex][tex](100)[/tex]
S = [tex]4(314)[/tex]
S = 1256
Answer:
400pi, or 1256.637...
Step-by-step explanation:
S = 4pir^2
S = 4pi(10^2)
S = 4pi(100)
S = 400pi
Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
Learn more about length
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Which of the following is an example of exponential growth?
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly
B. A bacterial culture increases by 1,000 bacteria per day
C. The height of a tree increases by 2 feet each year
D. Water drips into a bucket at a rate of 2 pints each minute
An example of an exponential function is given as follows:
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.
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Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50
can someone please help me out marking brainliest
Match the vocabulary word to its correct definition.
1. mean
The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. population
An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
3. experiment
Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
4. sample
A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
5. bias
Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
6. survey
A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
7. random
A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.
Answer:
1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.
7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
Step-by-step explanation:
It says what each of them are in each paragraph, you just need to match them up.
Hope this helps :)
Find the difference and simplify your answer correctly
7/12-2/5
Answer:
Step-by-step explanation:
7/12-2/5
We will find the LCM of it to make the denominators same.
Which is 60
Now to make denominators same
7/12×5/5
= 35/60
2/5×12/12
= 24/60
Now using these like values
35/60-24/60
= 11/60
The fraction is already in lowest terms
Must click thanks and mark brainliest
value of x in 2x-7=35 is
Answer:
x=21
Step-by-step explanation:
2x - 7 = 35
+7 +7
-----------------
2x = 42
----- -----
2 2
x = 21
The answer is 21, hope this helps.
Answer:
x = 21
Step-by-step explanation:
2x - 7 = 35
We need to isolate x. First, we add 7 to both sides.
2x - 7 + 7 = 35 + 7
2x = 42
Now we divide both sides by 2.
2x/2 = 42/2
x = 21
Answer: x = 21
The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest
Answer:
3.33%
Step-by-step explanation:
Intrest = P. A. *Intrest Rate * Time
(1/3)*P. A. = P. A. *Intrest Rate * 10
Intrest Rate = 1/30)=3.33%
Determine the intercepts of the line.
Answer:
y-intercept = -55
x-intercept =25
Step-by-step explanation:
I know how to do this
The area of each square below is 1 square unit.
i would really appreciate it if y'all gave me an answer pls
Answer:
The answer of this question is 78°.
Step-by-step explanation:
Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)
Now,
y+y+24°=189°
2y+24°=180°
2y=180°-24°
y=156/2
y=78°
Answer:
so the answer is 78°
Step-by-step explanation:
Uhm I hope it helps
find the inequality represented by the graph
Answer:
First, find the function of the line:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{0-3}{0-4} =\frac{-3}{-4}=\frac{3}{4}[/tex]y-intercept = 0Therefore, the function is [tex]y=\frac{3}{4} x[/tex].
Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be [tex]y<\frac{3}{4} x[/tex].
If f(x) = VX – 9 and g(x) = -6x – 3,
which statement is true?
Answer:
7
Step-by-step explanation:
What is the largest 5-digit number that is a multiple of both 4 and 9?
Answer:
Step-by-step explanation:
The last two digits have to be divisible by 4
The entire number's digits have to add to a multiple of 9. So I will start with 99964
64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9
Move on 99968 which has the same problem.
99972 works!!!!
We want to find the zeros of this polynomial:
p(x) = 2x^3 + 3x^2 - 18x -27.
Plot all the zeros (x-intercepts) of the polynomial in the graph.
Answer:
-3,-1.5,3
Step-by-step explanation:
(x+3) x=-3
(x-3) x=3
(2x+3) x=-3/2
Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.
x ³ = 1
x ³ - 1 = 0
x ³ - 1³ = 0
Factorize the right side as a difference of cubes:
(x - 1) (x ² + x + 1) = 0
Then
x - 1 = 0 or x ² + x + 1 = 0
The first equation yields x = 1 as a root.
For the other equation, rearrange and complete the square to get the other two roots,
x ² + x + 1/4 = -3/4
(x + 1/2)² = -3/4
x + 1/2 = ±√(-3/4) = ± i √3/2
x = -1/2 ± i √3/2
x = (-1 ± i √3)/2
Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:
(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1
and adding to 1 indeed shows that the sum of roots is zero.
whats the differnce in (5x+4)-(x+2)
Answer:
4x+2
Step-by-step explanation:
(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2
Helpppppppp pleaseeee!!!!!!!!
Answer:
29.5 square inches
Step-by-step explanation:
Let's divide the shape into 3 parts to make it easy for us to find the area.
- a wide triangle
- a triangle
- a shorter rectangle
For the wider rectangle, the area is;
A1 = 8 × 2 = 16 in²
For the triangle, the area is;
A2 = ½(7 - 2) × 3
A2 = 7.5 in²
For the shorter rectangle, the area is;
A3 = 3 × 2
A3 = 6 in²
Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches
This is confusing very much, I’m having a lot of problems at the moment and I’m in a lot of pain.
Answer please struggling
Answer:
x ≈ 28.2
Step-by-step explanation:
Δ CAB ≅ Δ CDE then corresponding sides are in proportion, that is
[tex]\frac{CA}{CD}[/tex] = [tex]\frac{CB}{CE}[/tex] , substitute values
[tex]\frac{14+x}{x}[/tex] = [tex]\frac{18.7+9.3}{18.7}[/tex] = [tex]\frac{28}{18.7}[/tex] ( cross- multiply )
28x = 18.7(14 + x) ← distribute
28x = 261.8 + 18.7x ( subtract 18.7x from both sides )
9.3x = 261.8 ( divide both sides by 9.3 )
x ≈ 28.2 (to the nearest tenth )
15. 4 + 2x = 4x - 20
What is the value of X?
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]4 + 2x = 4x - 20[/tex]
[tex]4 + 20 = 4x - 2x[/tex]
[tex]24 = 2x[/tex]
[tex]x = \frac{24}{2} [/tex][tex]x = 12[/tex]
Hope it is helpful....Which equation results from taking the square root of both sides of (x – 9)2 = 81?
x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return
Step-by-step explanation:
Hi there!
Given;
(x-9)² = 81........(i)
Take whole square right side;
(x-9) = ±√(81)
(x-9) = ±9
Therefore, the answer is option A.
Hope it helps!
Please help me solve this I’m really struggling
Answer:
Step-by-step explanation:
I graphed this on my calculator to get the region of feasibility. You should learn how to use your calculator to help you do things like this. You should know by now how to graph by hand, which is tedious, so now it's time to use your calculator to sweat the small stuff and learn to do some useful things.
When you graph this inequality on your calculator, you can see the points of intersection which in turn translate to the vertices of the feasible region. They are located at:
(-14, -6), (-9, -11), (6, 4)
You could then use those vertices to maximize the profit equation or production equation or whatever it is this system pertains to.
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer
Answer:
[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]
You want to decrease a biscuit recipe by half the recipe calls for 1 1/2 cups of milk how much milk would you use
Answer:
3/4 cup of milk.
Step-by-step explanation:
1 1/2= 6/4. 6÷2=3.
Answer:
3/4
Step-by-step explanation:
Half the recipe means multiply by 1/2
1 1/2 * 1/2
Change the mixed number to an improper fraction
(2*1+1)/2 * 1/2
3/2 * 1/2
3/4
PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050
Answer:
25
Step-by-step explanation:
The graph is going up by 25 each block or point of the way, if im wrong, im sory
Is the statement at the top true or false
Answer:
false
Step-by-step explanation:
these angles are horizonal
HELPPP plzzzzz due soon
