Area of EFGH = EH * EF = 2.4 * 4 = 9.6 square units.
What is an Area?
If two rectangles are similar, then their corresponding sides are proportional, which means that the ratio of any two corresponding side lengths is the same.
In this case, we have:
AB/EF = AD/EH
Substituting the given values, we get:
10/4 = 6/x
Cross-multiplying, we get:
10x = 24
Dividing both sides by 10, we get:
x = 2.4
Therefore, EH = 2.4, and the area of rectangle EFGH is:
Area of EFGH = EH * EF = 2.4 * 4 = 9.6 square units.
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Complete question is: If rectangle ABCD is similar to rectangle EFGH, area of EFGH = EH * EF = 2.4 * 4 = 9.6 square units.
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
Solve the following variation problem.
The interest on an investment varies directly as the rate of interest. If the interest is $45 when the interest rate is 4%, find the interest when the rate is 9%.
The interest is $____. (Round to the nearest cent.)
The interest for the investment when the rate is 9% gives $101.25
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let y represent the interest, k represent the constant and x represent the rate. Hence:
y = kx
If the interest is $45 when the interest rate is 4%:
45 = 0.04k
k = 1125
y = 1125
When the rate is 9%:
y = 1125(0.09) = 101.25
The interest for the investment when the rate is 9% gives $101.25
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Please I need help with this question asap
For the matrix given , the element a₂₃ is the number at 2nd row and 3 column ,which is 6 , Option B is the correct answer.
What is a Matrix ?It is a table or a rectangular array of numbers or expressions arranged in rows and columns ,
For a Matrix of m x n , m is the no. of rows and n is the no. of column
For the matrix given the element a₂₃ is the number at 2nd row and 3 column ,
which is 6 ,
Therefore Option B is the correct answer.
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if z3=x3 y2, dxdt=3, dydt=2, and z>0, find dzdt at (x,y)=(4,0).
Answer :- The value of dzdt at (x, y) = (4, 0) is 0
To find dzdt at (x, y) = (4, 0) given z^3 = x^3 y^2, dxdt = 3, and dydt = 2, follow these steps:
1. Write down the given equation: z^3 = x^3 y^2
2. Differentiate both sides with respect to t (using the chain rule and product rule): 3z^2(dzdt) = 3x^2(dxdt) * y^2 + x^3 * 2y(dydt)
3. Plug in the given values dxdt = 3, dydt = 2, and (x, y) = (4, 0): 3z^2(dzdt) = 3(4^2)(3) * 0^2 + 4^3 * 2(0)(2)
4. Since y = 0, the right side of the equation becomes 0: 3z^2(dzdt) = 0
5. However, we are given z > 0, which means z is not equal to 0. Thus, we can divide both sides by 3z^2: dzdt = 0
So, the value of dzdt at (x, y) = (4, 0) is 0.
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461x84 in partial produts
Answer:
38724 is the answer but kinda confused on what u mean
Step-by-step explanation:
if the mean of a data set is large, the standard deviation has to be large also. true or false
False.
It is not necessary that if the mean of a given dataset is large then the standard deviation has to be large. Mean is the average of all the elements in a dataset and Standard Deviation is the average of deviation of all elements from the mean of the dataset. For instance, take 10 consecutive large numbers, then the mean of the numbers is also large but since the numbers are not widely dispersed, the standard deviation is small in magnitude.
Therefore, the given statement is False.
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Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true? Trevor is planning to use at least a 100 minutes for local a month. Which company would be cheaper for Trevor to use?
Answer: Trevor's argument will be true if he used 100 minutes.
Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.
Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is
32.25 + 0.11x
Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is
14.25 + 0.32x
For both costs to be the same, the number of minutes would be
35.25 + 0.11x = 14.25 + 0.32x
0.32x - 0.11x = 35.25 - 14.25
0.21x = 21
x = 21/0.21 = 100
Step-by-step explanation:
What hazard is present in this image?
Select the best option.
A mat that has upturned edges
Hair clippings on the floor
Tool cord left out
Spills on floor
Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
Which expression could represent this phrase?
three times the difference of 8 and a number
Answer:
3(8-x) I think
Step-by-step explanation:
Answer:
3(8-x)
Step-by-step explanation:
this month, the number of visitors to the local art museum was 3000. the museum curator estimates that over the next 6 months, the number of visitors to the museum will increase 4% per month. which function models the number of visitors to the museum t months from now?
The number of visitors to the local art museum is expected to increase by 4% per month over the next 6 months. A function that models the number of visitors to the museum "t" months from now can be represented by the equation: N(t) = 3000 * \((1 + 0.04)^t.\)
To model the number of visitors to the museum "t" months from now, we need to account for the 4% increase in visitors each month. We start with the initial number of visitors, which is given as 3000.
To calculate the number of visitors after 1 month, we multiply the initial number of visitors (3000) by (1 + 0.04), which represents a 4% increase. This gives us 3000 * (1 + 0.04) = 3120.
Similarly, to calculate the number of visitors after 2 months, we multiply the previous number of visitors (3120) by (1 + 0.04) again. This process continues for each month, with each month's number of visitors being 4% greater than the previous month.
Therefore, the function that models the number of visitors to the museum "t" months from now is N(t) = 3000 * (1 + 0.04)^t, where N(t) represents the number of visitors and t represents the number of months from the current time.
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Evaluate the piecewise defined function at the indicated values. f (x) { 4 if x ≤ 2 { 2x-5 if x > 2 f(-3) = __
f(0) = __
f(2) = __ f(3) = __ f(5) = __
To evaluate the piecewise defined function at the indicated values, we substitute the given values of x into the corresponding parts of the function.
f(-3) = 4, since -3 ≤ 2 and the first condition is satisfied.
f(0) = 4, since 0 ≤ 2 and the first condition is satisfied.
f(2) = undefined, as there is no explicit definition for x = 2 in the function.
f(3) = 2(3) - 5 = 1, since 3 > 2 and we substitute x = 3 into the second part of the function.
f(5) = 2(5) - 5 = 5, since 5 > 2 and we substitute x = 5 into the second part of the function.
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the perimeter of an isosceles triangle with equal side of length 4cm and third side of length 6cm will be
Answer:
14 cm
Step-by-step explanation:
1. Recognize that an isosceles triangle will have at least two equal sides. Given the wording of the problem, we can say that we have two equal sides of 4 cm and a third side of 6 cm
2. Define perimeter. The perimeter of a triangle is the length of the continuous line outlining the triangle
3. Add all three side lengths together (4 cm + 4 cm + 6 cm). This will equal 14 cm
A circular fountain has a radius of 11 feet. Find the area in terms of pi
\(\mathcal{A} = \pi r^{2} = \pi (11^{2}) = 121 \pi \ ft^{2}\)
Answer:
121 pi divide to 4
Step-by-step explanation:
the answer is 121 pi divide to 4. please see it on the picture.
Find XY if X(0, -7) and Y(-3, 2).
d =
9514 1404 393
Answer:
d = 3√10 ≈ 9.487
Step-by-step explanation:
The distance formula is appropriate.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-3 -0)^2 +(2 -(-7))^2) = √(9 +81) = √90
d = 3√10
Identify the correct property of equality used to solve the following literal equations for the specified variable.
Subtraction Property of Equality
Step-by-step explanation:Properties of equality can help manipulate literal equations to solve for specific variables.
Subtraction Property of Equality
The subtraction PoE states:
if a = b, then a-c = b-c.This means if an equivalent quality is subtracted from both sides of an equation, then the equation is still true. In the equation above, 3x is subtracted from both sides of the equation. The subtraction PoE tells us that we are allowed to do this and maintain equality.
Other Properties of Equality
There is a multitude of PoEs including Addition, Multiplication, and Division. All of the properties also state that if an equal operation is done on both sides of an equation, then it is still equal. So, the subtraction PoE applies to all operations. There are also other properties of equality like Reflexive and Transitive that also help to solve literal equations.
Evaluate L{t 2
e −2t
} by the Derivatives of Transforms. L{r n
f(t)}=(−1) ds n
d n
L{f(t)} (Derivatives of Transforms) L{e at
}=
To evaluate \(L[t^2 e^{-2t}]\) using the derivatives of transforms, we can apply the formula for finding the Laplace transform of the product of a function and a power of t. Therefore, \(L[t^2 e^{-2t}] = 2/(s + 2)^3.\)
The formula for the nth derivative of the Laplace transform is:
\(L[t^n f(t)] = (-1)^n \frac{d^n}{ds^n} L[f(t)]\)
First, let's find the Laplace transform of \(e^{-2t}:\)
\(L[e^{-2t} ]= 1/(s + 2)\)
Now, we can find the Laplace transform of \(t^2 e^{-2t}\) using the derivatives of transforms:
\(L[t^2 e^{-2t}] = (-1)^2 \frac{d^2}{ds^2} L[e^{-2t}]\)
Differentiating \(L[e^{-2t}]\) twice with respect to s gives us:
\(d^2/ds^2 (1/(s + 2)) = 2!/(s + 2)^3 = 2/(s + 2)^3\)
Therefore, \(L[t^2 e^{-2t}] = 2/(s + 2)^3.\)
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Emilino needs to arrange chairs for a drama club
meeting at his school. There are 30 students coming.
What
are the different ways he can arrange the chairs so that each
row has the same number of chairs?
This is the same as saying "find the factors of 30". There
are 5 different ways.
Answer:
(1 row & 30 columns) (2 rows & 15 columns) (3 rows & 10 columns) (5 rows & 6 columns) (6 rows & 5 columns)
Step-by-step explanation:
1 * 30 = 30
2 * 15 = 30
3 * 10 = 30
5 * 6 = 30
6 * 5 = 30
Victoria has a points card for a movie theater.
She receives 65 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 215 points for a free movie ticket.
Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.
Answer: she needs to go 12 times
Step-by-step explanation:
Answer:
*12=3x+4m-3x2.......THE ANSWER IS 10
Step-by-step explanation:
divide 12 by 3
add that answer by 4
subract that by 3
then multiply it by 2
and it gives you... (10)
Your Welcome
Kendra watches the moon change from a new moon to a full moon. Which of the following descriptions is accurate? (Select all that apply.)
Responses
The moon is waxing.
The moon is waxing.
The moon is waning.
The moon is waning., ,
The moon appears to get smaller.
The moon appears to get smaller.
The moon appears to get bigger.
The moon appears to get bigger.
The moon does not change.
The correct description is that moon is waxing.
Which of the following descriptions is accurate?The theory used in this question is the lunar cycle, which is the process by which the moon changes its shape and illumination over the course of a month.
The waxing phase of the lunar cycle is when the moon is gradually getting bigger and more illuminated.
The waning phase is when the moon is gradually getting smaller and less illuminated.
The moon is waxing:
This is an accurate description because when the moon changes from a new moon to a full moon, it is said to be waxing.
This means that the moon is gradually getting bigger, and its illuminated side is increasing.
This process is called the waxing phase of the moon's cycle.
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The following data show the frequency of rainy days in a year less than 0.01 inch 165 days 0.01 -1 inch 90 days 1.01 - 5 inches 60 days 5.01 -10 inches 40 days more than 10 inches 10 days Find the mode.
The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.
From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"
Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.
In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.
Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.
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What the answer I nee this so I can move to the 9th grade
Answer:
el un angulo recto, la concha de tu hermana
Step-by-step explanation:
no seas boludooo
Find the value of z in the given figure
Hence, the answer is 9.
Hoped this helped.
\(BrainiacUser1357\)
18,54, 162, ...
Find the 8th term.
Answer:
a₈ = 39366
Step-by-step explanation:
The terms have a common ratio between consecutive terms
r = 54 ÷ 18 = 162 ÷ 54 = 3
This indicates the sequence is geometric with nth term
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = 18 and r = 3 , then
a₈ = 18 × \(3^{7}\) = 18 × 2187 = 39366
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
-1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
Which graph is generated by this table of values?
Answer:
wheres the rest of the graphs?
Step-by-step explanation:
It’s NOT the first one
Answer:
B
Step-by-step explanation:
Under normal conditions, is the average body temperature the same for men and women? Medical researchers interested in this question collected data from a large number of men and women, and random samples from that data are presented in the accompanying table below. (a) Set up a hypothesis test for testing whether there is sufficient evidence to indicate that mean body temperatures differ for men and women. (b) What is the exact p-value? What doed this value indicate? (c) Construct a 95% confidence interval for the mean body temperatures between men and women.
The column vectors for the table are Men : <96.9,97.4,97.5,97.8,97.8,98,98.6,98.8>
and Women : <97.8,98,98.2,98.2,98.2,98.6,98.8,99.2,99.4
Therefore, we can say with 95% confidence interval that the true difference in mean body temperatures between men and women is between -1.144 and -0.056 degrees Fahrenheit.
a) Hypothesis test setup:
Let μ1 be the population mean body temperature of men and μ2 be the population mean body temperature of women.
Null hypothesis: H0: μ1 = μ2 (The mean body temperature is the same for men and women)
Alternative hypothesis: Ha: μ1 ≠ μ2 (The mean body temperature differs for men and women)
We will use a two-sample t-test for independent samples to test this hypothesis.
b) The exact p-value for the two-sample t-test with the given data is 0.0117. This p-value indicates that if the null hypothesis were true, the probability of obtaining a sample as extreme as the observed sample (or more extreme) is 0.0117. Since this p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that mean body temperatures differ for men and women.
c) To construct a 95% confidence interval for the difference in population means (μ1 - μ2), we can use the following formula:
CI = (x1 - x2) ± tα/2,ν * SE
where x1 and x2 are the sample means for men and women, tα/2,ν is the t-value for the desired confidence level and degrees of freedom (df), and SE is the standard error of the difference in sample means.
Using the given data, we have:
x1 = 97.5, x2 = 98.4
s1 = 0.35, s2 = 0.366
n1 = 8, n2 = 9
df = n1 + n2 - 2 = 15
t0.025,15 = 2.131 (from t-distribution table)
SE = sqrt(s1^2/n1 + s2^2/n2) = 0.126
CI = (97.5 - 98.4) ± 2.131 * 0.126
CI = (-1.144, -0.056)
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What is the range of the function \(y=\sqrt[3]{x+8}\)?
A. -∞ < y < ∞
B. -8 < y < ∞
C. 0 ≤ y < ∞
D. 2 ≤ y < ∞
Answer:
-∞ < y ∞
The range is all real numbers.
The rise-over-run formula for the slope of a straight line is the basis of ______. Multiple choice question. the high-low method a scattergraph least squares regression
The rise-over-run formula for the slope of a straight line is the basis of The high - low method.
What Is the High-Low Method?The high-low method is a way of attempting to separate out fixed and variable costs given a limited amount of data. The high-low method involves taking the highest level of activity and the lowest level of activity and comparing the total costs at each level.
For example, if you have two production periods where you generate 6,000 units and then 2,500 units, those are the highest and lowest activity, respectively.
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Ab has a midpoint of (2, 5)
A has coordinates of (1, 7)
whats the coordinates of B
Answer:
pt B = (3, 3)
Step-by-step explanation:
to get from (1, 7) to (2, 5) you move down two and to the right one
so from (2, 5) go down two and to the right one and you are at (3, 3)
What is a value of 7 inches to the nearest hundredth?
Answer:
2.65
Step-by-step explanation:
Using a calculator's square root key, we get √7 = 2.64575....
To the nearest hundredth, that'd be √7 = 2.65.