Answer: -4/5
Step-by-step explanation:
Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total? Give your answer to three decimal places
Answer:64%
Step-by-step explanation:
80% of the picture frame is glass. What is the area of the moulding
Answer:
20
Step-by-step explanation:
If 80% of the picture frame is glass, then 100-80 = <<80=20>>20% of the frame is moulding.
If the total area of the frame is 100 square inches, then the area of the moulding is 20 square inches. Answer: 20.
Jordan jogs 6.9 miles each day. How many total miles does he jog in 8 days?
Answer:
55.2
Step-by-step explanation:
In triangle DEF angle F is a right triangle DE is 25 units long and EF is 24 units long. What is the length of DF
Answer:
7 units
Step-by-step explanation:
Since DEF is a right triangle, and angle F is a right angle, DE is the hypotenuse, in which we can use a^2 + b^2 = c^2 25 to the power of 2 is 625 and 24 to the power of 2 is 576. 625-576 = 49. The square root of 49 is 7
HELP it’s like 3:00 A.M and this is due at 3:20 A.M and my brain is completely dead.
Answer: Bigger X = 17 Smaller X = 1/3
Step-by-step explanation:
for the larger number
1x - 8 = 9 (equation)
X = 17 (the result)
for the smaller number
9x - 2 = 1 (equation)
X = 1/3 (the result)
Assuming there are no reflections or dilations, explain how you would write the equation of the function whose graph is sketched below.
Answer:
Start with the parent function y= 1/x^2
Add 3 to x in the denominator, because the graph is shifted left 3.
Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
i just know
The equation of the function shown in the provided graph is \(y=\frac{1}{(x+3)^{2} }\).
The parent function is: \(f(x)=\frac{1}{x^{2} }\)
How horizontal shifting of the graph takes place?If a function f(x) is shifted horizontally by k units the parent function f(x) becomes f(x+k) where k>0
Since the graph is shifted towards the negative x-axis by 3 units.
So, the parent function f(x) will become f(x+3).
\(f(x)=\frac{1}{x^{2} }\)
\(f(x+3)=\frac{1}{(x+3)^{2} }\)
So, the equation of the function will be \(y=\frac{1}{(x+3)^{2} }\).
Therefore, The equation of the function shown in the provided graph is \(y=\frac{1}{(x+3)^{2} }\).
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14 in. You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the prism? 8.7 in. 10 in. (The figure is not to scale.) You need square inches of wr Juan Ponce de Leon and the Fountain of Youth ft.
You know that the gift has a shape of a Regular triangular prism. Then, you need to use the following formula for calculate the surface area of a triangular prism:
\(SA=2B+Ph\)Where "B" is the area of the base, "P" is the perimeter of the base and "h" is the height of the prism.
Since the base of the triangular prism is a triangle at it is a regular prism:
\(\begin{gathered} B=\frac{bH}{2} \\ \\ P=3s \end{gathered}\)Where "b" is the length of the base of the triangle, "H" is the height of the triangle and "s" is the length of any side of the triangle.
Then, you can rewrite the formula:
\(\begin{gathered} SA=2(\frac{bH}{2})+(3s)h \\ \\ SA=bH+3sh \end{gathered}\)In this case:
\(\begin{gathered} b=10in \\ H=8.7in \\ h=14in \end{gathered}\)Then, substituting values into the formula and evaluating, you get:
\(\begin{gathered} SA=(10in)(8.7in)+3(10in)(14in) \\ SA=507in^2 \end{gathered}\)The answer is:
\(507in^2\)HELP ME
solve x^4-17x^2+16=0
select all of the solutions to the original equation
x=4
x=-16
x=-4
x=16
x=-8
x=-1
x=1
x=8
Maria wants to make a scale drawing of her room. The scale is 2cm=1foot.
Her room is 14ft long by 12feet wide
Write a PROPORTION for this problem
The proportion for the problem is 28 cm by 24 cm
Writing a proportion for the problemFrom the question, we have the following parameters that can be used in our computation:
Scale: 2 cm = 1 foot
Also, we have
Dimensions = 14 ft by 12 ft
using the above as a guide, we have the following:
Scale dimensions = 2 * 14 cm by 12 * 2 cm
Evaluate
Scale dimensions = 28 cm by 24 cm
Hence, the proportion is 28 cm by 24 cm
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I need to know the answer to the letter D!
Answer:
d>0
Step-by-step explanation:
brainliest please
Test if the slope significant for the next values. β1=0.0943 , seβ1=0.107 and alpha 0.05.
6. Write the null and alternative hypothesis. (2 points
7. Calculate t-test statistic 8. Write tc, degrees of freedom and decision rule. 9. Conclusion.
The null and alternative hypotheses are:
H0: β1 = 0 (The slope is not significant.)
H1: β1 ≠ 0 (The slope is significant.)
Here,β1=0.0943seβ1=0.107α=0.05
Test the slope significance and find the t-test statistic.
We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.
t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881
The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.
In this problem, the decision rule and conclusion are as follows:
Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.
Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.
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Please help!! Will BRAINLIST if correct
Answer:
125\(y^{9}\)
Step-by-step explanation:
Given
x = 5y³ then
x³ = (5y³)³
= 5 × 5 × 5 × y³ × y³ × y³
= 125\(y^{9}\)
The number line below is correctly represented by which of the following intervals?
Number line: (-2, 6]
a) (-2, 6]
b) {x | -2 < x ≤ 6}
c) (-[infinity], -2] ⋃ (6, [infinity])
d) {x | x < -2 or x ≥ 6}
The number line (-2, 6] is correctly represented by option a) (-2, 6].
Option a) (-2, 6] denotes an open interval, which means that it includes all real numbers greater than -2 and less than or equal to 6. The square bracket on the right side indicates that the endpoint 6 is included in the interval.
Option b) {x | -2 < x ≤ 6} represents a closed interval, which means that it includes all real numbers greater than -2 and less than or equal to 6. However, it uses set notation instead of interval notation.
Option c) (-∞, -2] ⋃ (6, ∞) represents a union of two intervals. The first interval (-∞, -2] includes all real numbers less than or equal to -2, and the second interval (6, ∞) includes all real numbers greater than 6. This option does not correctly represent the given number line.
Option d) {x | x < -2 or x ≥ 6} represents the set of all real numbers that are less than -2 or greater than or equal to 6. This option does not correctly represent the given number line.
Therefore, the correct representation for the number line (-2, 6] is option a) (-2, 6].
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Select the correct answer.
What are the solutions to the equation x2 − 1 = 399?
A.
x
=
20
and
x
=
-
20
B.
x
=
200
and
x
=
-
200
C.
x
=
400
and
x
=
-
400
D.
Answer: C
Step-by-step explanation:
400 multiply by 2 equals 800
and then 800 subtracted by 400 will be 400
and 400 subtracted by 1 will be 399.
Therefore, answer is C
Data can be displayed in many different ways: using tables, graphs, and equations. What are the benefits and drawbacks of each of these models?
Answer:
There are many different ways to portray your findings for an individual to view and understand. However, each have their pros and cons. When using a table, all of the specific numbers of your data can clearly be seen and compared with one another without having to analyze a picture. However, since there is no visual correlation that shows the growth and decline of your data, someone who best comprehends visually may not be able to understand your findings. It sis best to vary your sources of displaying information to make sure that it is all able to be understood by any viewer. When using a graph, you have a clear visual representation of the correlation of your variables in your experimentation. This allows the viewer to comprehend your data as a picture and see the change as the picture moves. However, it take further analysis and cross referencing to get specific quantitative data as you are required to read across and down the graph. And finally, when using equations you can show the direct way that the change was caused in your experiment. Each equation has a specific input and output. However, the drawback is the person viewing your data may have to solve the equations themselves to find out your data or simply be confused as equations don’t directly show data, but rather how to find it. It is important to have a varied combination of these things to allow for your data to be throughly understood by anyone viewing it. I hope this helps! :)
Step-by-step explanation:
HELP ME QUICK
Consider the Pythagorean Theorem and its converse. Which statements are correct?
A)
6, 8, and 10 are possible side lengths for a right triangle.
B)
10, 15, and 20 are possible side lengths for a right triangle.
The Pythagorean Theorem works only for sides of a right triangle.
D)
If the sides of a right triangle are of length 8 and 15. its hypotenuse is 17
E)
The Converse of the Pythagorean Theorem allows us to calculate side
lengths of right triangles.
Answer:
Step-by-step explanation:
A-Yes
B-No
C-Yes
D-Yes
E-Yes
If consider the Pythagorean Theorem and its converse. A, C, D, and E are correct statements.
What is Pythagoras's theorem?Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
In this case, statement A is correct because 6, 8, and 10 are possible side lengths for a right triangle.
Statement B is incorrect because 10, 15, and 20 are not possible side lengths for a right triangle.
Statement C is correct because the Pythagorean Theorem works only for sides of a right triangle.
Statement D is correct because if the sides of a right triangle are of lengths 8 and 15, its hypotenuse is 17.
Statement E is correct because the converse of the Pythagorean Theorem allows us to calculate the side lengths of right triangles.
Thus, the correct statements would be options A, C, D, and E.
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A clothing salesman sold 25 shirts his first day on the job and 45 shirts the second day. Write the fraction that shows the amount of change over the original amount. What is the percent of change? Is it a percent increase or percent decrease?
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
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Find all angles v between −π and π for which -sqrt(2)*sin(v)+ sqrt(2)*cos(v)= sqrt(3)
The general solution is v = π/4 - arcsin(-√(3) / 2) + 2πn, where n is an integer.
To find all angles v between -π and π that satisfy the equation -√(2)*sin(v) + √(2)*cos(v) = √(3), we can manipulate the equation using trigonometric identities.
First, let's rewrite the equation in terms of the sine and cosine functions:
-√(2)*sin(v) + √(2)*cos(v) = √(3)
Next, we can simplify the left side of the equation by factoring out the common factor of √(2):
√(2) * (-sin(v) + cos(v)) = √(3)
Dividing both sides by √(2), we have:
-sin(v) + cos(v) = √(3) / √(2)
Now, let's rewrite the left side of the equation using the sine and cosine addition formula:
-√(2)*sin(v - π/4) = √(3) / √(2)
Dividing both sides by -√(2), we obtain:
sin(v - π/4) = -√(3) / 2
Now, we can find the angles v between -π and π that satisfy the equation by taking the inverse sine of both sides:
v - π/4 = arcsin(-√(3) / 2)
Since the inverse sine function has a range of -π/2 to π/2, we can add or subtract multiples of 2π to obtain all possible angles v within the given range.
The general solution is:
v = π/4 - arcsin(-√(3) / 2) + 2πn, where n is an integer.
This equation provides all the angles v between -π and π that satisfy the given equation.
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Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)
Answer:
\(-16\)
Step-by-step explanation:
\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)
vA social scientist uses the model p(x) = minus -0.2x superscript 2 end of superscript, + 4.4x + 31.6 to predict performance on a task, p, where x represents stress level. What is the maximum performance and at what stress level does it occur?
The maximum performance is 74.8 and it occurs at a stress level of 11.
The model p(x) = -0.2x² + 4.4x + 31.6 is used to predict performance on a task, p, where x represents stress level.
To determine the maximum performance and the stress level at which it occurs, we need to use the formula: x = -b/2a, where a = -0.2 and b = 4.4.
The stress level at which maximum performance occurs is
x = -b/2a.
Therefore, substituting the given values for a and b into the formula,
x = -4.4/(2 x -0.2) = 11
The maximum performance is obtained by substituting x = 11 into the model p(x):
p(11) = -0.2(11)² + 4.4(11) + 31.6 = 74.8
Therefore, the maximum performance is 74.8 and it occurs at a stress level of 11.
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In 2006, 67.7 million people subscribed to cable television. In 2013, that number had decreased to 56.7 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Answer:
Because of low subscribers the amount will be decreased if you do not make video . So in 2007 the subscribers will be incresed . 67.8 million people took risk of this think. hopw it helps.
Step-by-step explanation:
The class had to identify the divided And divisor for a division problem 56÷7. Which number is the divided ? Which number is the divisor?
Answer:
56÷7=8
Step-by-step explanation:
answer is 8
(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse
It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.
For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.
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Factor the following quadratic.
y=2x^2 - 5x - 3
Answer:
(2x + 1)(x - 3)
Step-by-step explanation:
\(y = 2 {x}^{2} - 5x - 3\)
\(2 {x}^{2} - 5x - 3 = 0\)
\((2x + 1)(x - 3) = 0\)
\(x = - \frac{1}{2} \)
\(x = 3\)
It m triangle TOP =43°, what is mPT?
Answer:
the answer for the question is 13°
Answer: x is 25°
The measure of arcPT is 32 degrees. The measure of arcXZ is 54°
(The drawing is not to scale!)
Step-by-step explanation: The angle of the intersecting chords is
m∠ = (a + b)/2 . Use 'a' for the measure of arc PT, 'b' for the measure of arc XZ
So 43 =([x+7] +[2x + 4])/2 . Substitute the values given for a & b .
86 = 3x +11
75 = 3x
x = 25
m∠= a = x + 7
a = 32
Project Option 1-Individually
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of
$1,470 from lunch specials last month. The equation 2x+3y=1,470 represents Saf's profits last month, where x is the number of sandwich lunch specials sold and y is the
number of wrap lunch specials sold.
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work
2. Describe how you would graph this line using the slope-intercept method Be sure to write using complete sentences.
3. Write the equation in function notation Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use
graphing technology
a paragraph
5. Suppose Sal's total profit on lunch specials for the next month is $1.593. The profit amounts are the same $2 for each sandwich and $3 for each wrap.
of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
(I mainly need help on just 5 please)
The graphs of the functions for the two months will have the same slope but potentially different y-intercepts, representing the relationship between the number of sandwich and wrap lunch specials sold and the corresponding profit made by Sal's Sandwich Shop.
In the given problem, the equation 2x + 3y = 1,470 represents Sal's profits from lunch specials last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
To answer question 5, which asks about the similarities and differences between the graphs of the functions for the two months, we need to consider the equation for the next month's profit.
If the profit on each sandwich and wrap remains the same as last month ($2 and $3 respectively), we can set up the equation to represent the profit for the next month.
Let's call it P2.
P2 = 2x + 3y
Given that the total profit for the next month is $1,593, we can write the equation as:
1,593 = 2x + 3y.
To compare the graphs of the two months, we need to analyze the coefficients of x and y in both equations.
In the equation for the previous month's profit (P1 = 2x + 3y = 1,470), the coefficient of x is 2, and the coefficient of y is 3.
In the equation for the next month's profit (P2 = 2x + 3y = 1,593), the coefficient of x is still 2, and the coefficient of y is still 3.
Therefore, the slope of both graphs remains the same: 2/3.
The y-intercept, however, may differ between the two equations, as it represents the initial profit when x and y are both 0.
Since the profit amounts are different for each month, the y-intercept for the next month's graph will likely be different from the previous month's graph.
In summary, the graphs of the functions for the two months have the same slope but potentially different y-intercepts, representing the similarities and differences in the initial profits.
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In the pyramid above, each triangular face
has the same area, and the base MNPQ is
a square that measures 8 centimeters on
each side. If the length of RS = 6
centimeters, what is the surface area of
the pyramid excluding the base?
A. 48 sq cm
B. 96 sq cm
C. 128 sq cm
D. 160 sq cm
Answer:
B
Step-by-step explanation:
A=1/2bh=1/2(8)(6)=24
4 × 24 = 96 sq cm
i need help. this is due tomorrow. i need the equation and solve for x
Answer:
equation: 120=2(x+32)
x=28
Step-by-step explanation:
student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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