Answer: Tonya's house is 2.37 miles farther from the school than Jamal's house.
Step-by-step explanation: To solve this problem using a quick picture, we can draw a line segment to represent the distance from the school to Tonya's house, and another line segment to represent the distance from the school to Jamal's house. We can then use a ruler to measure the length of each line segment and subtract the length of the line segment representing the distance to Jamal's house from the length of the line segment representing the distance to Tonya's house.
For example, if we draw a line segment that is 3.64 inches long to represent the distance from the school to Tonya's house and a line segment that is 1.27 inches long to represent the distance from the school to Jamal's house, then we can use a ruler to measure the lengths of the line segments and find that the line segment representing the distance to Tonya's house is 3.64 - 1.27 = 2.37 inches longer than the line segment representing the distance to Jamal's house. This means that Tonya's house is 2.37 miles farther from the school than Jamal's house.
45.72+3.8
what is the answer
PLEASE HELP DJSNKSKA which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
Answer:
sorry im super late but its -5,3
Step-by-step explanation:
11. Beth wants to join the Movie Club. There is a $30 startup fee and a $4 monthly fee. Which of
the following represent the input, output, and appropriate fugestion for this scenario?
Circle the correct answer
A. Input: the total cost, Output: the starting cost, Function: Clx)= 30x + 4
B. Input: the total cost, Output: the number of months, Function: C(x) = 30x + 4
C. Input: each month, Output: the total cost, Function: C(x) = 4x + 30
D. Input: each month, Output: the starting cost, Function: C(x) = 4x + 30
O
UE
at
de
Answer:
B
Step-by-step explanation:
Simplify this expression
2 x x x 3 x y
(The 2nd ‘x’ is algebra)
Answer:
the answer is. .6xy..........
Answer:
6xy
Step-by-step explanation:
9) prove or disprove: for any set a, there exists a relation r on a such that r is both symmetric and antisymmetric.
The statement ''or any set a, there exists a relation r on a such that r is both symmetric and antisymmetric'' is false. There exists no relation r on a set such that r is both symmetric and antisymmetric for all sets a.
A relation r on a set A is symmetric if (a, b) ∈ r implies (b, a) ∈ r for all a, b ∈ A. On the other hand, a relation r on a set A is antisymmetric if (a, b) ∈ r and (b, a) ∈ r implies that a = b for all a, b ∈ A.
Suppose we have a set a with more than one element, say a = {x, y}, where x ≠ y. For r to be symmetric, we must have both (x, y) and (y, x) in r. For r to be antisymmetric, we must have (x, y) and (y, x) in r implies that x = y.
However, this is a contradiction because x ≠ y, and we cannot have both (x, y) and (y, x) in r that satisfies antisymmetry. Therefore, it is not possible to find a relation r on all sets a that is both symmetric and antisymmetric. Hence, the statement is false.
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Which expression is equivalent to 83 ⋅ 8−7? (1 point)
a
fraction: 1 over 8 to the power 10
b
1 over 8 to the power 4
c
810
d
84
\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)
y=5x-4y = 5 x − 4
y=-x+2
Answer:
Y= x+2 " substituting value of y
Step-by-step explanation:
Y=5x-4y = 5x - 4
or, 5x - 4(x+2) = 5x - 4
or, 5x - 4x+ 8 = 5x-4
or, x +8 = 5x - 4
or, 0= 5x - x - 4-8
or, 0= 4x - 12
1
The product of 3 and the sum of r and 1 equals 15.
Construct an equation and find the value of x.
Answer:
i dont know
Step-by-step explanation:
Answer:
r = 4
Step-by-step explanation:
product means multiply , so
3(r + 1) = 15 ← is the equation
Divide both sides by 3
r + 1 = 5 ( subtract 1 from both sides )
r = 4
write the number in two other forms (fraction, decimals, or percent 19/20 9/16 0.4 0.22
Answer:
Hope this helps :)
19/20 = 95/100 = 95%
9/16 = 0.5625 = 56.25%
0.4 = 4/10 → 40/100 = 40%
0.22 = 22/100 = 22%
A man made a loss of 15% by selling an article for $595. Find the cost price of the article
Answer:
$700
Step-by-step explanation:
If he made a loss of 15%, then it means that selling price is 85% of the cost price.
If the cost price is x, then we have;
0.85x = 595
x = 595/0.85
x = $700
Help pls thank you
Answer:
14
Step-by-step explanation:
\((x - 5)^\frac{1}{2} +5 = 2\\\sqrt{x-5} = -3\\x - 5 = 9\\x = 14\)
Answer:
No solution-----------------------------------
The first line is representing the equation and the second line is its simplification after subtraction 5 from both sides.
As a result we got a square root on the left side and a negative number on he right side of the equation.
As we know a square root is never negative, the solution stops here and we should state that there is no solution, therefore the third line misleading us to get a wrong solution.
to obtain the slope estimator using the least squares principle, you divide the
To obtain the slope estimator using the least squares principle, you divide the covariance of the independent variable with the dependent variable by the variance of the independent variable.
The slope estimator is a crucial parameter used in regression analysis to determine the relationship between two variables. Least squares regression involves finding the line of best fit that minimizes the sum of the squares of the residuals. The residuals are the differences between the predicted values and the actual values. The slope estimator is used to measure the steepness of the line of best fit. It is a critical statistic used in determining the correlation between two variables. By using the least squares principle, we can estimate the slope of the regression line, which is a vital parameter in predictive modeling. In summary, the slope estimator obtained through the least squares principle is a crucial component of regression analysis and is used to determine the relationship between two variables.
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Rick sells sherriff badges to all of his friends. He earns a 25% commission on his sales per week. This past week she sold $ 100.00 worth of badges. How much did he make in commission total?
A computer can be bought on Hire
Purchase with a down-payment of
$ 1600 and 12 monthly installments of $ 500. If the cash price on the computer is $ 5600, how much more than the cash price is the Hire Purchase price?
A) $60
B) $760
C) $1600
D) $2000
Worth a lot of points! Mark brainliest if u show ur work and get the right answer.
Answers:
AC = 221.37 feet
BC = 181.34 feet
The values are approximate.
=========================================================
Explanation:
Focus on triangle ACD for now.
The 67 degree angle adjacent to angle D helps us find that angle D = 180-67 = 113 degrees.
Let's find the missing angle C.
A+C+D = 180
55+C+113 = 180
C+168 = 180
C = 180-168
C = 12
Now we can use the Law of Sines to find side d, which is opposite angle D. This is the segment AC.
\(\frac{\sin(C)}{c} = \frac{\sin(D)}{d}\\\\\frac{\sin(12)}{50} = \frac{\sin(113)}{d}\\\\d\sin(12) = 50\sin(113)\\\\d = \frac{50\sin(113)}{\sin(12)}\\\\d \approx 221.369 190\\\\d \approx 221.37\\\\\)
Segment AC is roughly 221.37 feet long.
Keeping our attention on triangle ACD, let's find side 'a'. This is the segment CD.
\(\frac{\sin(C)}{c} = \frac{\sin(A)}{a}\\\\\frac{\sin(12)}{50} = \frac{\sin(55)}{d}\\\\a\sin(12) = 50\sin(55)\\\\a = \frac{50\sin(55)}{\sin(12)}\\\\a \approx 196.995 186\\\\\)
Segment CD is roughly 196.995186 feet long.
----------------------------------------------
Now move onto triangle BCD.
Use the sine ratio to determine side BC.
\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\text{D}) = \frac{\text{BC}}{\text{CD}}\\\\\sin(67) \approx \frac{\text{BC}}{196.995186}\\\\\text{BC} \approx 196.995186*\sin(67)\\\\\text{BC} \approx 181.335025\\\\\text{BC} \approx 181.34\\\\\)
Segment BC is roughly 181.34 feet long.
Antonio gets £6 a week for his allowance. He saved 1/2 of it last week and 1/3 of it this week. How much money does he save in those 2 weeks?
In those two weeks he saves a total of 5 pounds.
How much money does he save in those 2 weeks?we know that he gets £6 a week for his allowance, and on the first week he saves a fraction of 1/2 and on the second week he saves afraction of 1/3.
Then the total amount that he saves over these two weeks is:
T = (1/2)*£6 + (1/3)*£6
Now wecan solve that, we will get:
T = (1/2)*£6 + (1/3)*£6
T = £6/2 + £6/3 = £3 + £2 = £5
He saves 5 pounds.
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Which of the following statements is FALSE?
A) All parallelograms are quadrilaterals.
B) All squares are rhombuses.
C) All rectangles are parallelograms.
D) All kites are rectangles.
Answer:
The false statement is D) All kites are rectangles.
A kite is a quadrilateral with two pairs of adjacent sides that are congruent. A rectangle is a quadrilateral with four right angles and opposite sides that are parallel and congruent. While some kites can be rectangles (when the two pairs of congruent adjacent sides are also perpendicular), not all kites are rectangles. Therefore, statement D is false. Statements A, B, and C are true.
Step-by-step explanation:
21. A tuxedo rental service charges $125 flat fee for a suit, plus $30 more for eachadditional day. Write an equation for this situation where y = total cost and x =additional days.22, What is the total cost for renting a suit after 3 days? (refer to your equation from #21)
The fixed cost for suit is $125 and for every additional day, the cost can be calculated as 30*x.
Therefore, the total cost is the sum of the fixed cost ($125) and the additional cost per additional day ($30x). So, the total cost y is:
y = 125 + 30x
To calculate the total cost after 3 days, we need to replace x by 3 on the initial equation as:
y = 125 + 30*3
y = 125 + 90
y = 215
Answers: 21. y = 125 + 30x
22. $215
What is the 75th term of the arithmetic sequence -1, 5, 11
Answer:
75th term = 443
Step-by-step explanation:
\(a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\\)
Solve for x in this triangle. Round your answer to the nearest tenth. answer choice's x = 9.1 x = 7.5 x = 10.6 x = 12.4
The value of x in the give trigonometrical question is 10.6 when hypotenuse is 13 in the right angled triangle.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular functions of angles and how to use them in calculations. There are six common trigonometric uses for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their respective names and acronyms.
The figure illustrates these six trigonometric functions in relation to a right triangle. For instance, the triangle has an angle A, and the sine of A, or sin A, is defined as the ratio between the side opposite to A and the side opposite to the right angle (the hypotenuse).
Cos 35° = x/13
0.819152 = x/13
x = 0.819152 × 13
x = 10.6
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1 pt) Find the common ratio and write out the first four terms of the geometric sequence {(9^n+2)/(3)} .Common ratio is 3 .................... a1= ?, a2= ?, a3= ?, a4= ?
To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3
Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3
The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3
To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3
So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.
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4 × 5 + [14 + 8] - 36 ÷ 9
Answer:
38
Step-by-step explanation:
4 × 5 + [14 + 8] - 36 ÷ 9
4 × 5 + 22 - 36 ÷ 9
4 × 5 + 22 - 4
20 + 22 - 4
42 - 4
38
Step-by-step explanation:
use pemdas
P= parenthesis
E= exponents
M= multiply
D= divide
A= addition
S= subtraction
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =0. x/2 5 2 7 3 y/8 1 0 9 7 12 Compute the absolute value of the test statistic. (Round your answer to nearest hundredth. Hint: The correct test statistic is positive.)
There is insufficient evidence to support the claim that the paired sample data come from a population for which the mean difference is μd = 0. The absolute value of the test statistic is 0.12 (Rounded to the nearest hundredth)Therefore, the correct option is 0.12.
To test the claim that the paired sample data come from a population for which the mean difference is μd = 0 and to compute the absolute value of the test statistic, we follow the steps given below:
Step 1: Set the null hypothesis and alternative hypothesis H0: μd = 0 (Mean difference is 0)HA: μd ≠ 0 (Mean difference is not equal to 0)
Step 2: Determine the level of significanceα = 0.05 (Given)
Step 3: Calculate the mean and standard deviation of the differencesDifference, d = x - yFor the given data, the differences, d are calculated as follows:d = x - y = 5 - 8 = -3; 2 - 1 = 1; 7 - 0 = 7; 3 - 9 = -6The mean of the differences = Σd / nd-bar = (-3 + 1 + 7 - 6) / 4 = -0.25 (Rounded to the nearest hundredth)The standard deviation of the differences is given by:s = √{(Σd² - nd²) / (n - 1)}s = √{((-3 + 1 + 7 - 6)² - (4)²) / (4 - 1)}s = √{(-1² - 4²) / 3}s = 4.10 (Rounded to the nearest hundredth)
Step 4: Calculate the t-valueThe t-value for paired samples is calculated using the formula:t = d-bar / (s / √n)t = (-0.25) / (4.10 / √4)t = -0.25 / 2.05t = -0.12 (Rounded to the nearest hundredth)
Step 5: Calculate the p-valueThe p-value for the t-value is calculated using the t-distribution table for paired samples with 3 degrees of freedom. The p-value corresponding to t = -0.12 is 0.9175.Step 6: Compare the p-value with the level of significanceSince the p-value is greater than the level of significance, we fail to reject the null hypothesis. There is insufficient evidence to support the claim that the paired sample data come from a population for which the mean difference is μd = 0. The absolute value of the test statistic is 0.12 (Rounded to the nearest hundredth)Therefore, the correct option is 0.12.
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Lilly opens an account with $60. Each week she deposits $12. Write an expression to show the amount she has after w weeks.
Answer:
5 weeks
Step-by-step explanation:
so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this
TOTAL STARTED WITH EACH WEEK
$60 -12 48
$48 - -12 36
$36 -12 24
$24 -12 12
$12 -12 0
SO Lily will have enough money to deposit for 5 weeks
Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood. A botanist studying the region suspects that the proportion might be greater than 0.60. The botanist obtained a random sample of trees from the region and conducted a test of H: p=0.6 versus H, :p > 0.6. The P-value of the test was 0.015. Which of the following is a correct interpretation of the P-value?
The P-value of 0.015 suggests strong evidence against the null hypothesis and in favor of the alternative hypothesis that the proportion of softwood trees in the forested region may be greater than 0.60.
The P-value is the probability of obtaining a sample result as extreme or more extreme than the one observed, assuming the null hypothesis is true.
In this case, the null hypothesis is that the proportion of softwood trees in the forested region is 0.60, and the alternative hypothesis is that the proportion is greater than 0.60.
A P-value of 0.015 indicates that there is strong evidence against the null hypothesis and in favor of the alternative hypothesis.
Specifically, it suggests that if the true proportion of softwood trees were 0.60, the probability of obtaining a sample result with a proportion greater than 0.60 is only 0.015.
This is considered a low probability and provides evidence in support of the alternative hypothesis that the proportion of softwood trees in the forested region may be greater than 0.60.
Therefore, we can reject the null hypothesis at a significance level of 0.05 (since the P-value is less than 0.05), and conclude that there is evidence to suggest that the proportion of softwood trees in the forested region is greater than 0.60.
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x - 8 = -12
Solve for x
x = ?
\(\\ \sf\longmapsto x-8=-12\)
\(\\ \sf\longmapsto x=-12+8\)
\(\\ \sf\longmapsto x=-4\)
Done
Alex bought home a 7 11/12 foot tree. When he got it home,he cut 1 2/3 off of it. How tall is the tree after he cut it down
Given:
Initial height of tree = \(7\dfrac{11}{12}\) foot
He cut \(1\dfrac{2}{3}\) off of tree.
To find:
The remaining height of tree after cut.
Solution:
Initial height of tree is
\(7\dfrac{11}{12}=\dfrac{7\times 12+11}{12}\)
\(7\dfrac{11}{12}=\dfrac{84+11}{12}\)
\(7\dfrac{11}{12}=\dfrac{95}{12}\)
He cut \(1\dfrac{2}{3}\) off of tree.
\(1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}\)
\(1\dfrac{2}{3}=\dfrac{3+2}{3}\)
\(1\dfrac{2}{3}=\dfrac{5}{3}\)
Now,
Remaining height = Initial height - cut
\(=\dfrac{95}{12}-\dfrac{5}{3}\)
\(=\dfrac{95-20}{12}\)
\(=\dfrac{75}{12}\)
\(=\dfrac{25}{4}\)
\(=\dfrac{6\times 4+1}{4}\)
\(=6\dfrac{1}{4}\)
Therefore, the remaining height of the tree is \(6\dfrac{1}{4}\) foot.
If ƒ(x) = -x and ƒ(-3), then the result is
The calculated value of the function f(-3) is 3
How to evaluate the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = -x
In the function notation f(-3), we have
x = -3
substitute the known values in the above equation, so, we have the following representation
f(-3) = -1 * -3
So, we have
f(-3) = 3
Hence, the value of the function is 3
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Algebra 1 common assessment unit 2-1 SY23
Answer:
\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)
2(x+4)=48
solve for the solution set x=
and x=
Answer:
x=20
Step-by-step explanation:
Hey there! -waves-
Answer:
x=20
Step-by-step explanation:
2(x+4)=48
2x+8=48
2x=40
x=20
Hope this helped!!
:D