Answers
Answer:
141
Step-by-step explanation:
First find the area of the trapezoid
(16 + 10) * 9 / 2 = 117
Then find the area of the triangle
0.5 * b * 6 = 24
Add them both together
117 + 24 = 141
Answer: 141
GIVE ME BRAINLEST
Step-by-step explanation:
Related Questions
help will mark brainliest if correct :)
Answers
Answer:
Step-by-step explanation:
x= 0.079
y=-0.169
Answer: x= 0.079
y=-0.169
Step-by-step explanation:
Kelsey went to the mall to buy some new clothes. She spent a total of $140.49 on one pair of
jeans and three shirts. The jeans cost $54.99. Determine how much the shirts cost.
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please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these points lol
Answers
Answer:
v=432cm
sA=144cm
Step-by-step explanation:
1)))
v=w*d*h
v=3*9*16
v=432cm
2)))
sA=h*w
sA=16*9
sA=144cm
Answer:
V = 432 cm^3
SA = 438 cm^2
Step-by-step explanation:
The volume of a rectangular prism is represented by the formula:
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height.
You can substitute the values given:
V = 3 * 9 * 16
V = 432 cm^3
The surface area of a rectangular prism can represented by the formula:
SA = 2(lw + wh + lh)
Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:
SA = 2(3 * 9 + 3 * 16 + 9 * 16)
SA = 2(27 + 48 + 144)
SA = 2(219)
SA = 438 cm^2
Consider the triangle shown in the diagram below.Suppose that m∠A=80 degress, m∠C=35∘, and c=42.5. What is the value of a?a=Now, suppose that m∠B=52∘, m∠C=26∘, and a=19.3. What is the value of c?c=
Answers
a =72.97 and c=8.62
a) To find out the value of a let's use the Law of Sines. This way:
\(\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}\)And the fact that the sum of the interior angles within a triangle is always 180º so, m∠B =180-(80+35) , m∠B = 65º. Now let's plug that information into that:
\(\begin{gathered} \frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)} \\ \frac{a}{\sin(80)}=\frac{42.5}{\sin(35)} \\ a\sin (35)=42.5\cdot\sin (80) \\ a=\frac{42.5\cdot\sin(80)}{\sin(35)} \\ a\approx72.97 \end{gathered}\)b) Let's find the value of that angle A, at first. m∠A =180-(52+26), m∠A=102º
Likewise, we're going to adopt the same way to find the measure of leg c:
\(\begin{gathered} \frac{19.3}{\sin(102)}=\frac{c}{\sin (26)} \\ c=\frac{19.3\cdot\sin (26)}{\sin (102)} \\ c\approx8.65 \end{gathered}\)2) Hence, the answers are a =72.97 and c=8.62
PLS
SOLVE URGENTLY!
\( y(n)=0.1 y(n-1)+0.72 y(n-2)+0.7 x(n)-0.252 x(n-2) \)
Answers
In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).
The given difference equation is:
\[ y(n) = 0.1y(n-1) + 0.72y(n-2) + 0.7x(n) - 0.252x(n-2) \]
To find the impulse response of the system, we can set \( x(n) = \delta(n) \), where \(\delta(n)\) is the unit impulse function.
Plugging \( x(n) = \delta(n) \) into the equation, we have:
\[ h(n) = 0.1h(n-1) + 0.72h(n-2) + 0.7\delta(n) - 0.252\delta(n-2) \]
The above equation represents the impulse response of the system. Now, we can solve for \( h(n) \) by solving the recurrence relation.
Starting with \( n = 0 \):
\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7\delta(0) - 0.252\delta(-2) \]
\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 - 0.252\delta(-2) \]
Since \(\delta(-2) = 0\), the last term becomes zero:
\[ h(0) = 0.1h(-1) + 0.72h(-2) + 0.7 \]
Moving to \( n = 1 \):
\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7\delta(1) - 0.252\delta(-1) \]
\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 - 0.252\delta(-1) \]
Again, \(\delta(-1) = 0\), so the last term becomes zero:
\[ h(1) = 0.1h(0) + 0.72h(-1) + 0.7 \]
Continuing this process, we can calculate the values of \( h(n) \) for each \( n \) using the given difference equation and initial conditions.
Regarding the stability of the system, we need to examine the magnitude of the coefficients in the difference equation. If the absolute values of all the coefficients are less than 1, then the system is BIBO stable (bounded-input bounded-output). In this case, the coefficients are 0.1, 0.72, 0.7, and -0.252, which are all less than 1 in magnitude. Therefore, the system is BIBO stable.
To determine causality, we need to check if the system's output at time \( n \) depends only on the current and past values of the input. If so, the system is causal.
In the given difference equation, all the terms on the right side have indices equal to or less than \( n \), indicating that the output \( y(n) \) depends only on the current and past values of the input \( x(n) \) and output \( y(n) \).
Therefore, the system is causal.
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in mathematics the nth harmonic number is defined to be
Answers
The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.
Sure, I'll be glad to help you out!In mathematics, the nth harmonic number is defined as the sum of the reciprocals of the first n positive integers.
The nth harmonic number is defined to be:
$$H_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}$$
Now, to understand the concept in detail.
For this purpose, let's consider an example:
If we want to find the 5th harmonic number, then we use the formula as shown below:
$$H_5=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$
Simplifying the above expression we get:
$$H_5=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$$$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{60}{60}+\frac{30}{60}+\frac{20}{60}+\frac{15}{60}+\frac{12}{60}$$$$
=\frac{137}{60}$$
Therefore, the 5th harmonic number is 2.2833.
Now, The nth harmonic number is defined as the sum of the reciprocals of the first n positive integers. We can calculate the nth harmonic number using the formula Hn=1+1/2+1/3+...+1/n.
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what is the value of x in the equation 2(6×+4)-6+2×=3(×+3)+1
Answers
We are given the equation;
\(2(6x+4)-6+2x=3(x+3)+1\)Firstly, let's expand the brackets.
\(undefined\)Finn has 1 4/5 cups of trail miz. Aidan has 1 3/10 cups of trail mix. How much more trail mix does Finn have?
Answers
Does (3,10) make the inequality y < 3x + 1 true
Answers
Answer:
No, because 10 is equal to 10
Step-by-step explanation:
y<3x+1
If you plug in (3,10) into the equation the equation will be
10<3(3)+1
now you have to solve 3(3)+1 and your answer is 10
Which of the following statements should the salesperson use if he wished to ignore the objection?
a. "I think I might be able to explain that better to you after showing you this diagram."
b. "I think you have a point there; do you have any idea how we can improve that situation?"
c. "That's true. It does have a shorter shelf life, but that hasn't really been a problem. It is so popular it never gets to stay on the shelf that long anyway."
d. "Where did you hear that? Your source must have erroneous information."
e. "As I was saying, . . . "
Answers
E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.
Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.
Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.
When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.
To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.
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Simplify the expression below by rationalizing the denominator. When typing your answer be sure to be careful and include the correct signs. Keep in mind that the variables a,b,c,d, e and f can represent a product of a number and a variable. \frac{\sqrt[]{8}}{1-\sqrt[]{3z}} simplifies to \frac{a\sqrt[]{b}+c\sqrt[]{d}}{e- \sqrt[]{f}} Our value for a is AnswerOur value for b is AnswerOur value for c is AnswerOur value for d is AnswerOur value for e is AnswerOur value for f is Answer
Answers
Given:
\(\frac{\sqrt[]{8}}{1-\sqrt[]{3z}}\)Simplife:
\(\begin{gathered} =\frac{\sqrt[]{8}}{1-\sqrt[]{3z}} \\ =\frac{\sqrt[]{8}}{1-\sqrt[]{3z}}\times\frac{1+\sqrt[]{3z}}{1+\sqrt[]{3z}} \\ =\frac{\sqrt[]{8}+\sqrt[]{24z}}{1-\sqrt[]{9z^2}} \\ =\frac{2\sqrt[]{2}+2\sqrt[]{6z}}{1-\sqrt[]{9z^2}} \end{gathered}\)The given simplifies equation is:
\(\frac{a\sqrt[]{b}+c\sqrt[]{d}}{e-\sqrt[]{f}}\)After the compare the both inequality:
a=2
b=2
c=2
d=6
e=1
f=9
what is 28.5 inches in height?
Answers
compare |-0.658| and |-0.653|.
Answers
Can I have brainliest?
7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles
Answers
Answer:
What’s the question?
Step-by-step explanation:
A batch of 1000 components of the same type for use in the Ash River neutrino detector is believed to include 5% which are faulty a) If 5 components are selected at random,what is the probability that no defective component will be chosen? b What is the probability that exactly 2 out of the 5 will be defective?
Answers
a) The probability that no defective component will be chosen when selecting 5 components at random is approximately 0.7738, or 77.38%.
b) The probability that exactly 2 out of the 5 components will be defective is approximately 0.0874, or 8.74%.
a) To calculate the probability that no defective component will be chosen when selecting 5 components at random, we need to determine the probability of selecting a non-defective component for each selection.
Since 5% of the components are faulty, the probability of selecting a non-defective component in each selection is 1 - 0.05 = 0.95.
The probability of selecting no defective components can be calculated using the multiplication rule for independent events. We multiply the probabilities of each selection being non-defective:
Probability of selecting no defective components = (0.95)⁵
Probability of selecting no defective components = 0.7738
b) To calculate the probability that exactly 2 out of the 5 components will be defective, we need to consider the different combinations of selecting 2 defective components out of 5.
The probability of selecting exactly 2 defective components can be calculated using the binomial probability formula:
Probability = (Number of ways to choose 2 defective components) * (Probability of selecting a defective component)^(Number of defective components) * (Probability of selecting a non-defective component)^(Number of non-defective components)
Probability = (5 choose 2) * (0.05)² * (0.95)³
Probability = (5! / (2! * (5-2)!)) * (0.05)² * (0.95)³
Probability = 0.0874
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according to your regression analysis performed for part 42, what is the approximate numerical value of the strength of the linear association between monthly income and month number?
Answers
1. Look for the correlation coefficient (r) in your regression output. This value will range from -1 to 1 and indicates the strength and direction of the linear association between the two variables. A value close to 1 indicates a strong positive association, while a value close to -1 indicates a strong negative association.
2. To quantify the strength of the association, you can calculate the coefficient of determination (R²). This is simply the square of the correlation coefficient (r²). It represents the proportion of the variation in the dependent variable (monthly income) that can be explained by the independent variable (month number).
For example, if you have a correlation coefficient (r) of 0.7, then your R² would be 0.49 (0.7²). This means that 49% of the variation in monthly income can be explained by the month number.
To find the approximate numerical value of the strength of the linear association between monthly income and month number in your specific case, you need to look for the correlation coefficient (r) in your regression output and then calculate the R² value.
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Consider a triangle ABC like the one below. Suppose that =A96°, =C52°, and =b34. (The figure is not drawn to scale.) Solve the triangle.Round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
Answers
We have to solve the triangle.
This means to find all the missing angles and sides.
We already know two angle measures and one side length.
We can start finding the third angle measure: we know that the sum of the angles measures has to be equal to 180°.
Then we can write:
\(\begin{gathered} m\angle A+m\angle B+m\angle C=180\degree \\ 96+m\angle B+52=180 \\ m\angle B=180-96-52 \\ m\angle B=32\degree \end{gathered}\)We can now use the Law of sines to relate angles and sides.
We can write:
\(\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}\)As we know B and b, we can use this to find the other sides as:
\(\begin{gathered} \frac{\sin(A)}{a}=\frac{\sin(B)}{b} \\ a=\frac{\sin(A)}{\sin(B)}\cdot b \\ a=\frac{\sin(96\degree)}{\sin(32\degree)}\cdot34 \\ a\approx\frac{0.9945}{0.5299}\cdot34 \\ a\approx63.8 \end{gathered}\)\(\begin{gathered} \frac{c}{\sin(C)}=\frac{b}{\sin(B)} \\ c=\frac{\sin(C)}{\sin(B)}\cdot b \\ c=\frac{\sin(52\degree)}{\sin(32\degree)}\cdot34 \\ c\approx\frac{0.7880}{0.5299}\cdot34 \\ c\approx50.6 \end{gathered}\)Answer: B = 32°, a = 63.8, c = 50.6.
Which function represents exponential decay?
A. f(x) = 0.25(1.06)
B. f(x) = 18 +0.9x
c. f(x) = 412 + 1.03x
D. f(x) = 268(0.86)*
Answers
Answer: The function that represents exponential decay is:
D. f(x) = 268(0.86)^x
This function has a base of 0.86, which is less than 1. As x increases, the value of the function decreases exponentially. This is the characteristic of exponential decay, where the value of a quantity decreases at a constant percentage rate over time.
Option A, f(x) = 0.25(1.06), represents exponential growth, as the base (1.06) is greater than 1.
Option B, f(x) = 18 + 0.9x, represents linear growth, as the value of the function increases linearly with x.
Option C, f(x) = 412 + 1.03x, also represents linear growth, as the value of the function increases linearly with x.
Step-by-step explanation:
What is the gradient of the line that goes through coordinates (2,3) and (4,9)
3
2/6
1/3
Answers
Answer:
gradient = 3
Step-by-step explanation:
Calculate the gradient ( slope) using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 9)
m = \(\frac{9-3}{4-2}\) = \(\frac{6}{2}\) = 3
Choose all the fractions that are in simplest form. 4/26 8/21 6/19 9/10 10/22
Answers
Answer:
8/12, 6/19 and 9/10!
Step-by-step explanation:
All of them cannot be simplified.
but the rest can like
4/26 can be simplified by 2
and 10.22 can be simplified by 2
Johnny have 5 Apples in 6 rows how much apples will he have left
Answers
It's not entirely clear what is meant by "5 Apples in 6 rows," so I will provide a general answer that could apply to a few different interpretations of the question.
If Johnny has 5 apples and places them in 6 rows, the answer to how many apples he will have left depends on how many apples are in each row and what Johnny does with them. For example, if he eats one apple from each row, he will be left with 5 - 6 = -1 apples, which doesn't make sense. If instead he rearranges the apples into one row, he will still have 5 apples. If he gives away 2 apples, he will have 3 apples left.
In summary, the number of apples Johnny will have left depends on the details of the scenario, including how many apples are in each row and what Johnny does with them.
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Determine the equation of the circle with center (-7, 2) containing the point
(-16,8).
Answers
The equation of the circle with center (-7, 2) containing the point
(-16,8) is (x + 7)^2 + (y - 2)^2 = 117.
How to determine the equation of the circleThe equation of a circle with center (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2
We are given the center of the circle as (-7, 2) and a point on the circle as (-16, 8).
Using the formula, we can substitute the values into the equation:
(-16 - (-7))^2 + (8 - 2)^2 = r^2
(-16 + 7)^2 + 6^2 = r^2
(-9)^2 + 36 = r^2
81 + 36 = r^2
r^2 = 117
Therefore, the equation of the circle is:
(x - (-7))^2 + (y - 2)^2 = 117
Simplifying:
(x + 7)^2 + (y - 2)^2 = 117
So, the equation of the circle is (x + 7)^2 + (y - 2)^2 = 117.
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Hannah is instructed to write down a positive, 4-digit integer. What is the probability that Hannah's number is an even number that is also a palindrome (a number that reads the same forward and backward)
Answers
The probability that Hannah's number is an even palindrome is 1/45.
What is the chance of Hannah writing a 4-digit even palindrome number?There are 45 even palindrome numbers between 1000 and 9999, out of a total of 4500 possible 4-digit numbers.
So, the probability of Hannah writing an even palindrome number is 1/45.
A palindrome number is the same when read from left to right or right to left. There are 90 possible 2-digit palindrome numbers (11, 22, 33, etc.), and 9 possible 1-digit palindrome numbers (1, 2, 3, etc.), making a total of 99 palindrome numbers from 1 to 999. In a 4-digit number, the first and last digits must be the same for it to be a palindrome.
Therefore, the first digit has 9 choices (1-9), and the last digit also has 9 choices. The second digit can be any of the 10 digits (0-9), and the third digit can be any of the 5 remaining even digits (0, 2, 4, 6, 8).
Thus, there are 45 even palindrome numbers between 1000 and 9999.
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please explain how to do this
Answers
Answer:
Step-by-step explanation:
Adair earns 6% commission, and his total sales last week were $ 14,560. How much straight commission did Adair earn?
Answers
Step-by-step explanation:
Adair earns 6% commission, and his total sales last week were $ 14,560. How much straight commission did Adair earn?
6% = 0.06
0.06 * $14,560 = $873.60 commission
10
9
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What is the slope?
Answers
Answer:
the slope is zero because anything times 0 is zero
Step-by-step explanation:
A cheetah can run 18.75 miles in 1/4 hours. What is its speed in miles per hour?
Answers
Answer: miles per hour = mi/hr = 17.5mi/0.25hr = 17.5*4mi/0.25*4hr = 70mi/hr
Step-by-step explanation:miles per hour = mi/hr = 17.5mi/0.25hr = 17.5*4mi/0.25*4hr = 70mi/hr
Step-by-step explanation:
18.75 miles in 1/4 hour.
that is the ratio 18.75 / 1/4
but we want the miles in an hour.
so, how many 1/4 are in a whole ?
well, 4.
so we need to multiply the ratio by 4/4 (so that on one hand we multiply the denominator by 4 to make it a whole, and on the other hand we are not changing the value of the ratio) :
18.75 × 4 / (1/4 × 4) = 75 miles / 1 hour = 75 mph.
Find the total amount of an investment if $1200 is invested at an interest
rate of 3.5% compounded quarterly for 7 years.
Answers
Answer:
Total amount of investment = $1,531.51
Step-by-step explanation:
A = P(1+r/n)^(nt)
a postal employee is counting how many houses on the route have dogs. statistically, 48\% of homes have dogs, according to the postal employees research. on the route of 30 homes, the postal employee encounters 12 dogs. what is the variance?
Answers
The variance is 7.2.
We can use the binomial distribution formula to calculate the variance. The formula for the variance of a binomial distribution is
Variance = n × p × (1 - p)
where n is the number of trials, p is the probability of success on each trial, and (1 - p) is the probability of failure on each trial.
In this case, n = 30 (the number of homes on the route), p = 0.48 (the probability of a home having a dog), and (1 - p) = 0.52 (the probability of a home not having a dog).
The postal employee encountered 12 dogs, which means there were 18 homes without dogs. So, the actual probability of success in this case is
P(dogs) = 12/30 = 0.4
Using the formula above, we can calculate the variance
Variance = n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.2
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As a general rule in computing the standard error of the sample mean, the finite population correction factor is used only if the:
Group of answer choices
1. sample size is more than half of the population size.
2. sample size is smaller than 5% of the population size.
3. sample size is greater than 5% of the sample size.
4. None of these choices.
Answers
The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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