Answer:
the Image Does not pop up for me???
In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.
Answer:
6.5
Step-by-step explanation:
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
From reference sheet.
\text{Find other angle:}
Find other angle:
\angle T=180-71-36=73^{\circ}
∠T=180−71−36=73
∘
T
U
V
t = 6.6
u = ?
71°
36°
73°
\frac{u}{\sin 71}=\frac{6.6}{\sin 73}
sin71
u
=
sin73
6.6
Plug in. Opposite sides go together.
u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5
u=
sin73
6.6sin71
≈6.526≈6.5
Solve for the side and evaluate.
Answer:
6.5
Step-by-step explanation:
deltamath
How many 8s are in 888?
Answer:
Theres 3, 8 8 8
or 111, 111*8=888.
Two correct answers
Step-by-step explanation:
do we have to multiply???
Answer:
6
Step-by-step explanation:
mulyiplying is for finding out the area
In 2018, the population of China was 1.386 billion people. Round the number to the nearest hundred million in standard form.
Answer: 1,400,000,000
Step-by-step explanation:
1.386 billion = 1,386,000,000
Now we want to round this to the nearest hundred million (it is the 9th digit counting from right to left).
To round, we need to look at the digit at the right ( the 8th in this case)
If that digit is equal or larger than 5, then we round up. (we add 1 to the 9th decimal in this case)
If that digit is smaller than 5, we round down.
In this case, the 8th digit is an 8, this is larger than 5, then we round up.
1,386,000,000 ≈ 1,400,000,000
Kevin's bank deducts a service fee from his account every month.
In one year, the bank deducts a total of $90 in fees. Twice each
month, Kevin's paycheck is directly deposited into his account.
The amount of each paycheck is $1,150. Which expression
represents the monthly change in Kevin's bank account?
The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
How to find the expressionIn one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:
Monthly service fee = $90 / 12 = $7.50
Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:
Monthly income = 2 * $1,150 = $2,300
Therefore, Kevin's monthly change in his bank account is:
Monthly change = Monthly income - Monthly service fee
Monthly change = $2,300 - $7.50 = $2,292.50
So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
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step 1 of 2 : determine the relative frequency of the first class. round your answer to three decimal places.
The relative frequency of the first class is 0.25.
Relative frequency is a term used to describe the proportion of times an event occurs in a set of data, compared to the total number of events. In other words, it's the ratio of the frequency of the event to the total frequency of all events.
To determine the relative frequency of the first class, we need to first find the frequency of the first class. The frequency is the number of times the event occurs in the data set. Let's say the frequency of the first class is "f". Then, the relative frequency can be found by dividing the frequency of the first class by the total number of events (let's say it's "n").
Relative frequency = f / n
We round our answer to three decimal places to make it easier to understand and compare to other data.
If there are 100 total events and the frequency of the first class is 25, then the relative frequency would be:
Relative frequency = 25 / 100 = 0.25
Complete Question:
Determine the relative frequency of the first class. round your answer to three decimal places when 100 total events and the frequency of the first class is 25
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Find an ordered pair (x, y) that is a solution to the equation.
3x-y=6
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
Written as a simplified polynomial in standard form, what is the result when (x-4)^2 is subtracted from 10x?
Answer:
\(-x^2 +18x -16\)
Step-by-step explanation:
First we must apply the distributive property to expand \((x -4)^2\):
\((x -4)^2 \\ (x -4)(x -4) \\ x(x -4) -4(x -4) \\ x^2 -4x -4x +16 \\ x^2 -8x +16\).
Now we can subtract the result from \(10x\).
\(10x -(x^2 -8x +16) \\ 10x -x^2 +8x -16 \\ -x^2 +10x +8x -16 \\ -x^2 + (10 +8)x -16 \\ -x^2 +18x -16\)
Answer:
9x^2 + 8x - 16
Step-by-step explanation:
35 devide 28 with decimals pls help
Answer:
1.25
Step-by-step explanation:
The answer in decimal is 1.25
35/28= 1.25
= 35 ÷ 28
by 1
=35 - 28 = 7
Introducing decimals
= 70 to 28
by 2
= 70 - 56 = 14
adding zero to 14
= 140 to 28
by 5
= 140 - 140 =0
the answer is 1.25
I did it this way through division hope you'll understand. All the best.
if takes 3.12 gallons of paint to paint a fence.how much paint is needed dor 1.5 of the fence?
Answer:4.68 gallons
Step-by-step explanation:
since it is 3.12 for 1 fence, then you have to split 3.12 in half to get 1.56 to get 1.5, and then add it to 3.12, and 3.12 + 1.56 = 4.68.
so you need 4.68 gallons to paint 1.5 fences.
Mrs. Bob works at a store where she receives a base salary of $240 per week plus 8% commission on her sales. Last week she sold $5,400 worth of electronics. How much did she earn in TOTAL?
Answer:
672.00
Step-by-step explanation:
5400 X 8% = 432.00
240. + 432.00 = 672.00
Consider the function represented by the table.
For which x is f(x)=-3?
0-7
0 4
X
-7
-3
2
4
f(x)
-3
5
-4
-8
04
05
Answer:
B. -4
Step-by-step explanation:
Just took the test on Edge it is correct.
Considering the table given, it is found that the value of x for which f(x) = -3 is of x = -7.
What is the table representing the function?The table is a set of points (x, f(x)), hence from it we get that it has these following points:
f(-7) = -3;f(-3) = 5;f(2) = -4;f(4) = -8;Hence, the value of x for which f(x) = -3 is of x = -7.
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A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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1. 7x - 2
If x = 3
2. 5x -2y
If x =3 and y = 4
how do i do this ive been struggling for 45 minutes and i can’t seem to solve it…
The quadratic function for the value of David's investment indicates;
(i) $45,000
(ii) 9.375 months
What is a quadratic function?A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.
The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;
a = 45 + 75·t - 4·t²
Where;
a = The value of the investment in thousand of dollars after t months
t = The number of months of the investment
(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;
a = 45 + 75 × 0 - 4 × 0² = 45
The initial amount David invested is; a = $45,000
(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;
The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375
Therefore, it will take 9.375 months for David's investment to reach a maximum value
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How does the value of c affect the graph of f(x) = et+c?
Answer: A
Step-by-step explanation: c shifts the graph up or down.
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 7.9
Step-by-step explanation:
\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)
PLEASE HELPPP MEE PLEASEE!!
Step-by-step explanation:
so, we have a right-angled triangle.
the line of sight (top of the tower to the fire in the ground) is the Hypotenuse (the baseline opposite to the 90° angle).
the tower itself (180 ft) and the ground distance (from the base of the tower to the fire) are the legs enclosing the 90° angle.
the angle of depression (20°) at the top of the tower is the same as the angle of elevation at the point of the fire looking up to the tower.
then we know the 90° at the base of the tower.
and the third inner angle (at the top of the tower) is then
90 - 20 = 70°.
remember the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides (a, b, c) are always opposite to the correlated angles (A, B, C).
so, in our case we have
180/sin(20) = distance/sin(70)
distance = 180×sin(70)/sin(20) = 494.5459355... ≈
≈ 495 ft
A roller coaster’s height is given by the equation h = –.025t2 + 4t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.
11.65 seconds
50.00 seconds
171.65 seconds
210.00 seconds
The time it will take the roller coaster to reach the ground is 171.65 seconds
Function and valuesGiven the roller coaster’s height given by the following parameters
h = –0.025t² + 4t + 50
On the ground level, the height will be zero. Substitute h = 0 and determine the value of t
–0.025t² + 4t + 50 = 0
0.025t² - 4t - 50 = 0
Factorize
On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds
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Can someone help me please
Answer:
(3x+1)(x+9)
Step-by-step explanation:
Answer:
(3x+1)(x+9) is the answer
Allison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?
Answer:good job!
Step-by-step explanation:
Step-by-step
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
NO LINKS!! URGENT HELP PLEASE!!!
Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, and the explicit formula.
34. -11, -7, -3, 1, . . .
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
35. a_n = -30 - 4n
Answer:
#34. aₙ = 4n - 15; a₅₂ = 193#35. a₅₂ = -238; d = - 4-----------------
Question 34Find the differences in the sequence -11, -7, -3, 1, ...
1 - (-3) = 4,-3 - (-7) = 4,-7 - (-11) = 4The difference is common, so the sequence is an AP.
The nth term is:
\(a_n=a_1+(n-1)d\)\(a_n=-11+(n-1)*4=-11+4n-4=4n-15\)Find the 52nd term:
\(a_{52}=4*52-15=208-15=193\)Question 35Find the 52nd term using the given formula:
\(a_{52}=-30-4*52=-30-208=-238\)Find the previous term:
\(a_{51}=-30-4*51=-30-204=-234\)Find the common difference:
\(d=a_{52}-a_{51}=-238-(-234)=-4\)Answer:
\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)
\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)
Step-by-step explanation:
Question 34An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Given sequence:
-11, -7, -3, 1, ...To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.
\(a_4-a_3=1-(-3)=4\)
\(a_3-a_2=-3-(-7)=4\)
\(a_2-a_1=-7-(-11)=4\)
As the differences are constant, the sequence is arithmetic, with common difference, d = 4.
The explicit formula for an arithmetic sequence is:
\(\boxed{a_n=a+(n-1)d}\)
where:
a is the first term of the sequence.n is the position of the termd is the common difference between consecutive terms.To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:
\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)
Therefore, the 52nd term is a₅₂ = 193.
\(\hrulefill\)
Question 35Given explicit formula for an arithmetic sequence:
\(a_n=-30-4n\)
To find the common difference, we need to compare it with the explicit formula for the nth term:
\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)
The coefficient of the n-term is -4, therefore, the common difference is d = -4.
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)
Therefore, the 52nd term is a₅₂ = -238.
Help find area of this
Answer:
120 sq feet
Step-by-step explanation:
1. 8 x 10 = 80
2. 8 x 5 = 40
3. 80 + 40 = 120 ft2 (sq feet)
The
graph of a quadratic function
Find the domain and the range.
with vertex (-3, 4) is shown In the figure below.
Step-by-step explanation:
domain: x is any value, ⇒ x∈(-∝;+∝);
range: y is not greater, than 4, ⇒ y∈(-∝;4].
NO LINKS!! Describe the set of all points P(x, y) in a coordinate plane that satisfy the given condition. Part 2
Part (d)
If xy > 0, then the two items x and y must have the same sign.
Examples where x,y are both positive
x = 2 and y = 5 leads to xy = 2*5 = 10x = 7 and y = 4 leads to xy = 7*4 = 28Examples where x,y are both negative
x = -1 and y = -9 leads to xy = -1*(-9) = 9x = -12 and y = -3 leads to xy = -12*(-3) = 36This places us in either the first quadrant or third quadrant (Q1 and Q3)
Q1 is where x > 0 and y > 0 (northeast corner)Q3 is where x < 0 and y < 0 (southwest corner)Answer: The set of all points in quadrants I and III (x and y have the same sign)======================================================
Part (e)
If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.
Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.
Answer: The set of all points below the x axis======================================================
Part (f)
If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).
Answer: The set of all points on the y axis.Answer:
(d) The set of all points in quadrants I and III (x and y have the same sign).
(e) The set of all points below the x-axis.
(f) The set of all points on the y-axis.
Step-by-step explanation:
The Cartesian plane is divided into four quadrants.
Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.
Quadrant I: x > 0 and y > 0 → (x, y)Quadrant II: x < 0 and y > 0 → (-x, y)Quadrant III: x < 0 and y < 0 → (-x, -y)Quadrant IV: x > 0 and y < 0 → (x, -y)Part (d)
For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.
x and y are both positive in quadrant I.x and y are both negative in quadrant III.Therefore, the description that satisfies the given condition is:
The set of all points in quadrants I and III (x and y have the same sign).Part (e)
For y < 0, y is always negative.
y is negative in quadrant III.y is negative in quadrant IV.Quadrants III and IV are below the x-axis.
Therefore, the description that satisfies the given condition is:
The set of all points below the x-axis.Part (f)
The only place where x = 0 is the y-axis.
Therefore, the description that satisfies the given condition is:
The set of all points on the y-axis.Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 45 students. The mean of the sample is 12.1 units. The sample has a standard deviation of 1.5 units. What is the 95% confidence interval for the average number of units that students in their college are enrolled in
The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.
Here,
To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.
The formula for the confidence interval is given by:
Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)
where:
Sample Mean (x) is the mean of the sample (12.1 units in this case).
Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.
For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).
Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.
Given the information in the problem:
Sample Mean (x) = 12.1 units
Sample Standard Deviation (s) = 1.5 units
Sample Size (n) = 45
Confidence Level = 95%
Critical Value ≈ 2.013
Now, let's calculate the standard error:
Standard Error = s / √n
Standard Error = 1.5 / √45 ≈ 0.2236
Now, calculate the confidence interval:
Lower bound of the confidence interval:
12.1 - (2.013 * 0.2236) ≈ 11.66
Upper bound of the confidence interval:
12.1 + (2.013 * 0.2236) ≈ 12.54
So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.
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if 7056 divided X is equals to 42; y divided 112 =8, then x/y is
Step-by-step explanation:
given
\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)
also given
\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)
therefore
\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)