Answer: x=5
Step-by-step explanation:
|x + 2| = 7
|5 + 2| = 7
|7| = 7
|7| = 7
what is 365x56 divided by 8
Answer:
The answer to your question is 2555
Step-by-step explanation:
365 x 56 = 20440
20440 ÷ 8 = 2555
I hope this helps and have a wonderful day!
Identify any solutions to the system shown here.
2x + 3y 26
3x +2y 56
Answer:
Add more points (0.5, 2), (-2,4)
Step-by-step explanation:
(7g - 6) - (-3n – 4) =
Answer:
7g + 3n - 2
Step-by-step explanation:
when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive
for example, using the above statement we can rewrite the problem as:
7g - 6 + 3n + 4
we can combine -6 and 4 to get -2
7g + 3n - 2 or 7g + 3n + (-2)
A rearview mirror is in the shape of a trapezoid that is 11 inches long across the bottom, 9 inches long across the top, and 3 inches high.
The area of the rearview mirror is
inches squared.fill in the blank
Answer:
Step-by-step explanation:
“Suppose we covered a large section of wall with chalkboard paint.
How would we find the area we wanted to paint?” Your student might
answer, “Measure how high and how far across, then multiply.” Then
ask, “If one quart of paint covers 65 square feet of wall, how many
quarts would we need to paint the blackboard section with 2 coats?”
Your student would multiply the area by 2 and compare that number
to 65. For example, a blackboard 8 feet wide and 5 feet high is
40 square feet, and 2 coats would be 80 square feet. One can of
paint would not be enough.
• “Suppose we put new carpet in your bedroom. How many square feet
would we need to buy? How would we figure this out?” Your student
might answer, “Measure each wall of the room and multiply. If the
room isn’t a perfect rectangle, divide it into smaller pieces that are
easier to work with.”
Getting your student involved with home projects develops useful skills for
helping around the house, finding a part-time job, and eventually being
responsible for his or her own home.
Enjoy your time working together!
1. Inferential statistics are necessary to determine if the patterns in the data of a study sample are significant or can be explained by sampling error.
Question 5 options:
True
False
2. The question, what is the likelihood that the sample average is an accurate estimate of the population average is an example of a question to be answered through inferential statistics.
Question 6 options:
True
False
3. A mean is a univariate statistic.
Question 7 options:
True
False
4. Significance tests determine the probability that:
Question 8 options:
The null hypothesis is false
The null hypothesis is supported
The null hypothesis different
The null hypothesis does not exist
1. Inferential statistics test data significance and account for sampling error.
2. Inferential statistics assess sample statistic accuracy.
3. Mean is a univariate statistic for central tendency.
4. Significance tests evaluate null hypothesis probability.
1. True. Inferential statistics are used to make inferences about a population based on data from a sample. This includes determining if the patterns in the data are significant or can be explained by sampling error.
2. True. This is a question about the accuracy of a sample statistic, which is a type of inferential statistic.
3. True. A mean is a measure of central tendency, which is a univariate statistic. A univariate statistic is a statistic that describes a single variable.
4. The null hypothesis is false. A significance test is a statistical test that is used to determine if the null hypothesis is likely to be true. The null hypothesis is typically the hypothesis that there is no difference between two groups or that there is no effect of a treatment. If the p-value of a significance test is less than a certain threshold, such as 0.05, then we can reject the null hypothesis and conclude that the alternative hypothesis is likely to be true.
In other words, a significance test determines the probability of obtaining the observed data if the null hypothesis is true. If the probability is very low, then we can conclude that the null hypothesis is likely false.
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When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?
Step-by-step explanation:
When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?
Answer:
The sign flips.
≤ becomes ≥
and ≥ becomes ≤
what is the value or |-12.7| and |11.1/4| ?
Answer:
12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.
Step-by-step explanation: Have a Happy Thursday :)
Joe runs 11 miles in 68 minutes. How many minutes does he take per mile?
If Joe runs 11 miles in 68 minutes. The number of minutes he take per mile is: 0.1617 miles per minutes .
How to find the rate?Using this formula to determine the rate
Rate = Distance/ Time
Where:
Distance = 11 miles
Time = 68 minutes
Let plug in the formula
Rate = 11 miles / 68 minutes
Rate = 0.1617 miles per minute
Therefore the 0.1617 miles per minute.
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An annuity-immediate has 32 payments of $500 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 20 period: (A) Find the accumulated value of the annuity. Round your answer to 2 decimal places. x (B) Find the present value of the annuity. Round your answer to 2 decimal places. x
a. The Total Accumulated value of the annuity is $17205.50
b. The Total Present value of the annuity is $6357.31
(A) To find the accumulated value of the annuity, we need to calculate the future value of each payment and sum them up. The annuity has 32 payments of $500 per period.
For the first 12 periods, the effective rate of interest is 8%. Using the formula for the future value of an ordinary annuity, which is FV = P X ((1 + r) ^ n - 1) / r, where FV is the future value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the accumulated value for these 12 periods:
FV1 = $500 X ((1 + 0.08) ^ 12 - 1) / 0.08= 14572.5
For the following 20 periods, the effective rate of interest is 4%. Using the same formula, we can calculate the accumulated value for these periods:
FV2 = $500 X ((1 + 0.04) ^ 20 - 1) / 0.04=2633.00
To find the total accumulated value of the annuity, we sum up the two values:
Accumulated Value = FV1 + FV2=$17205.50
(B) To find the present value of the annuity, we need to discount each payment to the present using the appropriate discount rate for each period. Since the annuity has different interest rates for the first 12 periods and the following 20 periods, we need to discount each payment separately.
For the first 12 periods, the discount rate is 8%. Using the formula for the present value of an ordinary annuity, which is PV = P * (1 - (1 + r) ^ -n) / r, where PV is the present value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the present value for these 12 periods:
PV1 = $500 X (1 - (1 + 0.08) ^ -12) / 0.08=$2328.31.
For the following 20 periods, the discount rate is 4%. Using the same formula, we can calculate the present value for these periods:
PV2 = $500 X (1 - (1 + 0.04) ^ -20) / 0.04=$4092.
To find the total present value of the annuity, we sum up the two values:
Present Value = PV1 + PV2=$6357.31
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Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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2x+4=3x-2 solve for x
Answer:
x = 6
Step-by-step explanation:
2x + 4 = 3x - 2
2x - 3x = -2 - 4
-x = -6
x = 6
Answer:
x = 6
Step-by-step explanation:
We are given this equation:
2x + 4 = 3x - 2
And we want to evaluate the equation for x.
To do this, we need to isolate the variable (x) on one side of the equation.
We can start by putting the numbers on one side.
We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.
2x + 4 = 3x - 2
-4 -4
___________________
2x = 3x - 6
Now, let's put the variables on the other side.
Subtract 3x from both sides.
2x = 3x - 6
-3x -3x
______________
-x = -6
Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.
-x is the same as -1x, or -1 * x.
So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.
Let's multiply both sides by -1.
-1(-x) = -1(-6)
x = 6
The value of x is 6.
Los puntos (13,a) y (4,b) pertenecen a una parábola de vértice V(h,1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están contenidos en la recta 2−y−13=0. Hallar a^h+b^p.
The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
A. 6 + 4 + 18
B. 2(6 + 4 + 18)
C. 32(18)
D. 4(6)(18)
Answer:
c
Step-by-step explanation:
Answer:
guys its D
Step-by-step explanation:
Use Inverse Laplace Transformation to convert s-domain to time-domain function for the following functions
a)
F(s) = \(\large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
\(f(t)=\) ....
b)
F(s) = \(\large{\frac{s-1}{s^2-3s+2}}\)
\(f(t)=\) .....
c)
F(s) = \(\large{\frac{s-1}{s^2+s-2}}\)
\(f(t)=\) ....
d)
F(s) = \(\large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
\(f(t)=\) ....
The inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
How did we get the value?To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:
a)
\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:
\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)
Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of
\(e^(-0.5s) \: is \: e^(0.5t).\)
Applying this, we get:
\(f(t) = 2e^(0.5t) * t \\
b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)
We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)
Simplifying, we have:
\(F(s) = \large{\frac{1}{s-2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(2t) \\
c) F(s) = \large{\frac{s-1}{s^2+s-2}}
\)
We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:
\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{1}{s+2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-2t) \\
d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{e^{-s}}{s+2}}\)
The Laplace transform of
\(e^(-s) \: is \: 1/(s + 1).\)
Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
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bem bpight a box pf ;aundry detergent that contains 195 scoops. each load pf laundry use 1/2 2 scoops. how many loads of laundry can ben do with one box of laundry detergent
Therefore, Ben can do 390 loads of laundry with one box of laundry detergent.
Ben bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 1/2 scoop.
To determine how many loads of laundry Ben can do with one box of detergent, we divide the total number of scoops by the scoops used per load:
Number of loads = Total scoops / Scoops per load
Number of loads = 195 scoops / (1/2 scoop per load)
Number of loads = 195 scoops * (2/1) = 390 loads
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Wendy solved an equation and found x to be 5. Which equation could she have solved.
Part A The year in which the US Civil War ended was 25 percent later than the year Christopher Columbus set sail from Spain. If c represents the year Columbus set sail, we can write the year the Civil War ended as C +0.25c. Rewrite this expression as a single term.
Answer:
0.25 c to the second
Step-by-step explanation:
i think
hi i am stuck on this word problem and need help
Solution
Given that the Perimeter is: 340 yards. Lenght is 91 yards
Since P = 2(L + W)
where L is the Length
W is the width
=> 340 = 2(91 + W)
=> 340 = 182 + 2W
=> 158 = 2W
Dividing both sides by 2
=> W = 79
Hence, the width is 79 yards
Answer: it would be 79yards
Step-by-step explanation: 91•2=182
340-182=158
158/2=79yards
Estimate the average rate of change from x = 3 to x = 7.
To obtain the average rate of change from x = 3 to x = 7
We will have to obtain the corresponding values of y at the points x=3 and x=7
From the graph, we can observe that when x = 3, y = 1
also, when x = 7, y = 3
So the rate of change can be obtained by the formula:
=> change in y values/ change in x values
\(\frac{y_2-y_1}{x_2-x_1}\)so let x1 =3, then y1 = 1
when x2= 7, y2 = 3
Upon substituting these values in the above equation
\(\begin{gathered} \frac{3\text{ -1}}{7\text{ -3}} \\ =\frac{2}{4} \\ =\text{ 0.5} \end{gathered}\)rate of change = 0.5
“Each figure is a parallelogram. Solve for x. Give your reason.” - I need help :/
Donna bought 5 bags of dog treats for $12.50. What is the cost per bag of dog treats?
I really need help on this please guys
Answer:
2.5
Step-by-step explanation:
$12.50 ÷ 5 bags = $2.5 per bag
Answer:
2.50
Expination:
devide 12.50 by the total amount of dog food purchased (5 bags)
12.50/5 = 2.50
the price per bag is $2.50
.Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.
4x+y^2=12, x=y
Then find the area S of the region.
S=?
The area of the region enclosed by the curves is (3√3 - 13)/3.
To sketch the region enclosed by the given curves 4x+y^2=12, and x=y, we can begin by graphing the curves.
First, let's graph the curve 4x+y^2=12 by rewriting it in terms of y:
\(y^2 = 12 - 4x\)
This is a parabola that opens to the right and is centered at (3,0), with a width of 2√3.
Next, let's graph the line x=y, which passes through the origin at a 45-degree angle.
The region enclosed by the curves is the shaded region in the figure below:
To find the area of this region, we need to integrate with respect to x or y. Since the curves intersect at x=3, it's convenient to use vertical strips and integrate with respect to x.
The height of each strip is given by the difference between the y-coordinates of the parabola and the line at the corresponding x-value, which is:
y = √(12 - 4x) - x
The width of each strip is dx.
Thus, the area of the region is given by the integral:
S = ∫[0,3] (√(12 - 4x) - x) dx
We can simplify this integral by using the substitution u = 12 - 4x, du/dx = -4:
S = ∫[0,3] (√u - 3 + u/4) (-du/4)
S = ∫[0,12] (√u - 3 + u/4) (-du/4) (by extending the limits of integration)
S = [\(-u^{(3/2)/6} - 3u/4 + u^{2/32\)]_[0,12]
S = (3√3 - 13)/3
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What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units
Answer:
42 sq. Units
Step-by-step explanation:
I took the test
The area of the triangle shown below is B. 42 sq. units, the correct option is B.
What is the area of a triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
We are given the parameters are;
Length of its base = b units
Its height = h units long,
Then we get:
Area of a triangle = 1/2 b h
We are given that;
Base= 14, Height= 6
Now,
The area of a right triangle is given by:
Area = (1/2) * base * height
Substituting the values;
Area = (1/2) * 14 * 6
= 42 square units
Therefore, the area of triangle will be 42 sq. units.
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I am interested in studying if College Major is related to living location preference (West Coast, East Coast, Non-coastal) What type of test should I do after I gather students data?Group of answer choices ANOVA Chi Squared Test for independence Paired Sample t-test 2 -sample T-test Linear Regression T-test
To determine if there is a relationship between college major and living location preference (West Coast, East Coast, Non-coastal), you should use the Chi-Squared Test for independence.
The Chi-Squared Test for independence is appropriate for examining the relationship between two categorical variables. In this case, you have two categorical variables: college major (e.g., engineering, business, arts) and living location preference (West Coast, East Coast, Non-coastal). This test allows you to determine if there is a statistically significant association between these variables.
By conducting the Chi-Squared Test, you can analyze the observed frequencies of each combination of college major and living location preference and compare them to the expected frequencies under the assumption of independence. If the test results show a significant relationship, it indicates that college major and living location preference are associated with each other.
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The formula for calculating the volume of a cone is V=1/3(pi)r(to the third power)h. Solve this formula for h.
The expression for the height is given as 3V/pir³
Volume of coneA cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the ape-x or vertex.
The formula for calculating the volume of a cone is expressed according to the equation;
V = 1/3pir³h
We are to make h the subject of the formula;
V = 1/3pir³h
Cross multiply
3V = pir³h
Divide both sides by pir³
3V/pir³ = pir³h/pir³
3V/pir³ = h
Swap
h = 3V/pir³
Hence the expression for the height is given as 3V/pir³
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to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder, one should________
The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.
A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.
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what is the image of the point (0,4) after a rotation of 180° counterclockwise about the origin?
The image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).
To find the image of a point (0,4) after a 180° counterclockwise rotation about the origin, we can follow these steps:
Recall that a 180° counterclockwise rotation about the origin simply changes the sign of both the x and y coordinates while keeping their absolute values the same.Applying this to the point (0,4), the x-coordinate remains 0, and the y-coordinate changes sign to -4.Therefore, the image of the point (0,4) after a 180° counterclockwise rotation about the origin is (0, -4).
By performing a 180° counterclockwise rotation, we essentially mirror the point across the origin, with the y-coordinate changing sign while the x-coordinate remains unchanged.
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Which graph represents a system of linear equations that has multiple common coordinate pairs?
sorry if the image is blurry
Answer:
Step-by-step explanation:
The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!
sorry if im wrong...
The number of students at Longview Middle School decreased by 0.75% from the number of students the previous year. To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares. How many of the smaller squares will be shaded to represent 0.75%?
The area of Nevada is about 245% of the area of Ohio. How many squares would be shaded on 10 × 10 grids to represent 245%?
answer please and brainiest for who answered me
The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.
The number of squares to correctly represent 245% on the grid is; 245.
What is the number of smaller squares which would be shaded to represent 0.75%?It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.
Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;
The percentage, 0.75% can be represented by shading 75 smaller squares.
Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.
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the average of 5 numbers is 7. when one more number is added the average becomes 10. what number was added?
Answer:
13
Step-by-step explanation:
for example, Sum of 5 no. = 7×5=35
Sum of 8 no. = 8.5×8=68
Sum of added all three no. = 68 - 35 = 33
average of three new numbers = 33/3=11
The number 25 is added then the average becomes 10.
What is an average?The average is defined as the ratio of the sum of the data to the total numbers of the data.
Average = ( Sum of the numbers ) / ( number of the data )
Given that the average of 5 numbers is 7. when one more number is added the average becomes 10.
The number added is calculated as:-
Sum of the numbers = 5 x 7 = 35
Let x is the number added.
Sum of the numbers = 35 + x
We know that some of the numbers = 10 x 6
35 + x = 10 x 6
35 + x = 60
x = 60 - 35
x = 25
Hence, the number added is 25.
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