Answer:
x=18
36/2=18
all good.
A teacher asks her students to fill out a survey about themselves. Which
piece of data would be considered categorical data?
O A. Age
B. Number of siblings
C. Height
D. Favorite sport
Answer:
Age
Step-by-step explanation:
it is about them.
If it were how many siblings they have it, then would not be just about them.
If it were there sport it would not be about them it would also be about sports
Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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please help me answer this question thank you
Answer:
A
Step-by-step explanation:
The length of a rectangle is five times its width.
2
If the area of the rectangle is 180 in find its perimeter.
Answer:
72
Step-by-step explanation:
l = 5w
A = l*w
180 = 5w *w
180 = 5w^2
Divide each side by 5
180/5 = 5w^2 /5
36 = w^2
Taking the square root of each side
sqrt(36) = sqrt(w)^2
6 =w
l = 5w = 5*6 = 30
The perimeter is
P = 2(l+w)
P = 2(6+30) = 2(36) = 72
3.
The slope of the line parallel to 2x – 3y = 4 is
No
TRUE
FALSE
Submit Answer
Answer:
false
Step-by-step explanation:
this is because the slope would be 2/3 if you follow the equation y=mx+b
Answer: false
Step-by-step explanation: the other one is a slope of POSITIVE 2/3
if f(x)=2x-1 what does f(10) equal
Answer:
19
Step-by-step explanation:
Step 1:
x = 10
Step 2:
2 ( 10 ) - 1
Step 3:
20 - 1
Answer:
19
Hope This Helps :)
find the exact value of x. 45 degree and 10 side
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.
Solve for x : sq.root(2x^2 + 1)=2
Answer:
x=3
Step-by-step explanation:
The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of each leg.
Answer:
5 IS THE LEGHTH
Step-by-step explanation:
srry caps xd ummm it depends u can divide 3 into 15 which will be 5
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Find the volume of the cone in terms of pi.324 TT cm^3405TT cm^372 TT cm^3
The volume of a cone is given by the following formula:
\(V=\frac{1}{3}\pi r^2h\)where,
r: radius of the base = 9 cm
h: height = 12 cm
Replace the previous values of the parameters into the formula for V and simplify:
\(\begin{gathered} V=\frac{1}{3}\pi(9cm)^2(12cm) \\ V=324\pi cm^3 \end{gathered}\)Hence, the volume of the cone is 324pi cm^3
i need help asap please and thank you
Answer:
113
Step-by-step explanation:
First we need to find theother 2 angles of the triangle.
We are given that the top angle is 60°
We know that the angles of a triangle add up to 180°
To find the bottom left angle of the triangle...
We can see that it is alternate exterior angles so they will equal.
To find the third angle of the triangle...
180 - 60 (given angle) -53 (alternate exterior angle) = 67°
Now we know that the bottom right angle inside the triangle is 67°.
To find x...
subtract 67 from 180 because the like is a combination of x and the 67° angle we just found. (a straight line angle = 180°)
180 - 67 = 113
Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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The graph of the function f(x) is shown. Both axes of a coordinate grid are shown from negative eight to eight. A line passes through the points (negative four, negative one), (negative three, one), (negative two, three), (negative one, five), (zero, seven) and so on. If g(x)=f(x+3) , then select all the statements that are true. The value of g(−5) is 3 . The value of g(−1) is 2 . The x− intercept of g(x) is to the left of the x− intercept of f(x). The x− intercept of g(x) is to the right of the x− intercept of f(x). The y -intercept of g(x) is lesser than the y− intercept of f(x). The y -intercept of g(x) is greater than the y− intercept of f(x).
We can start by finding the equation of the line passing through the given points. Using the point-slope form of the equation of a line, we have:
What is the point-slope form?Point-slope form is a way to express the equation of a straight line, using a point on the line and its slope. Given a point (x1, y1) on the line and the slope m, the point-slope form of the equation of the line is:y - y1 = m(x - x1)
y - (-1) = (1 - (-1)) / (-4 - (-3)) * (x - (-4))
y + 1 = 2(x + 4)
y = 2x + 9
The graph of the line passes through the points (-4, -1), (-3, 1), (-2, 3), (-1, 5), (0, 7), and so on.
To find the equation of the function g(x) = f(x+3), we can substitute x+3 for x in the equation of the line, which gives:
y = 2(x+3) + 9
y = 2x + 15
This is the equation of a line with slope 2 and y-intercept 15. We can use this equation to answer the questions:
The value of g(-5) is 3:
To find g(-5), we substitute x = -5 into the equation of g(x):
g(-5) = 2(-5) + 15 = 5
Therefore, the statement "The value of g(-5) is 3" is false.
The value of g(-1) is 2:
To find g(-1), we substitute x = -1 into the equation of g(x):
g(-1) = 2(-1) + 15 = 13
Therefore, the statement "The value of g(-1) is 2" is false.
The x-intercept of g(x) is to the left of the x-intercept of f(x):
The x-intercept of f(x) is approximately (-4.5, 0). To find the x-intercept of g(x), we set y = 0 in the equation of g(x):
0 = 2x + 15
x = -7.5
Therefore, the x-intercept of g(x) is to the left of the x-intercept of f(x), and the statement "The x-intercept of g(x) is to the left of the x-intercept of f(x)" is true.
The x-intercept of g(x) is to the right of the x-intercept of f(x):This statement is false based on the result of the previous question.The y-intercept of g(x) is lesser than the y-intercept of f(x):The y-intercept of f(x) is approximately (0, 7). The y-intercept of g(x) is 15. Therefore, the statement "The y-intercept of g(x) is lesser than the y-intercept of f(x)" is false.The y-intercept of g(x) is greater than the y-intercept of f(x):This statement is true based on the result of the previous question. Therefore, the statement "The y-intercept of g(x) is greater than the y-intercept of f(x)" is true.To know more about point-slope form , check out :
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Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?
Answer: First you have to take 20% and make it into a fraction 1/5.
Then you multiply 46.5 and multiply it by 1/5 and get 9.3
Add $46.50 and $9.30 and get $55.80
Step-by-step explanation: Hope this helps!! <3
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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PLEEEEEASE HEEEEEELPPPP
Answer:
x≤20
Step-by-step explanation:
x+5≤25
-5. -5
x≤20
Hopes this helps please mark brainliest
Answer:
The answer is B
Step-by-step explanation:
20+5=25 and x can be greater than or equal to 25
Determine the following ratio
Using relations in a right triangle, the secant of angle θ is given by:
D. 5/4.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:
h² = 9² + 12²
h = sqrt(9² + 12²)
h = 15.
The secant of an angle is 1 divided by the cosine, hence:
cos(θ) = 12/15 = 4/5.sec(θ) = 5/4.Which means that option D is correct.
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A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $
Answer:
3000
Step-by-step explanation:
Which description compares the domains of Function A and Function B correctly? Function A: f(x)=logx Function B: A square root function graphed on a grid in Quadrant One, with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The function, labeled g of x, contains a filled in point at begin ordered pair one comma zero end ordered pair and passes through begin ordered pair eight comma two end ordered pair as a smooth curve while extending to infinity. Responses The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of both functions is the set of real numbers.
The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.
What is a function?
A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.
The domain of a function refers to the set of all possible input values for which the function can produce an output.
In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.
In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.
This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.
It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.
Therefore, the correct statement is A.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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y=2x+7
3x-y=-9
Solve each system of equation by the substitution method.
What is the next term in the pattern? 1,1,5,17,71,247
Answer: 1085
Step-by-step explanation:
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
– 27 ÷ (– 3) – 9
– 27 ÷ 3 – 9
27 ÷ 3 + 9
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
-6•f(-3) - 5.9(-7) khan academy
find the following right triangle, find the side length x
Answer:
x=41
Step-by-step explanation:
9²+40²=x²
81+1600=x²
1681=x²
√1681=√x²
41=x
In which of the following scenarios will conducting a paired
-test for means be appropriate? CHECK ALL THAT APPLY.
A. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.
B. To test if there is a difference between the mean number of CD4 T cells in healthy patients and patients with cancer.
C. To test if the mean annual income of Ontarians is higher than that of British Columbians.
D. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada.
E. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.
F. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
G. None of the above
The appropriate scenario to conduct a paired t-test for means is when we have two related samples, and we want to test whether there is a significant difference in the means between the two samples. Hence, B, D, and E are the appropriate responses.
What is a t-test?A t-test is a statistical test used to determine whether two sets of data are significantly different from each other, based on their means. It is a parametric test, meaning it makes certain assumptions about the data, such as that it is normally distributed and that the variances of the two groups being compared are equal.
There are several types of t-tests, including the independent samples t-test, which is used when comparing two groups that are not related to each other, and the paired samples t-test, which is used when comparing two groups that are related or paired, such as before-and-after measurements from the same individuals.
B. To test if there is a difference between the mean number of CD4 T cells in healthy patients and patients with cancer.
D. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada.
E. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.
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Please help at least do 3 questions please Don’t guess (can be more than one)
What is 946 divided by 11?