Answer:
You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!
Round 4/15 to the nearest thousandth
Answer:
0.267
Step-by-step explanation:
4/15 as a decimal is 0.26 repeating so rounded to the nearest thousandth would be 0.267
elizabeth's family went to nyc for their vacation. at the gift shop on liberty island, valerie bought three t-shirts and four keychains for $134, and jennifer bought four t-shirts and five key chains for $175. find the price of each item.
Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.
In the given question, Elizabeth's family went to NYC for their vacation.
At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.
We have to find the price of each item.
Let the price of one t-shirt = $x
Let the price of one Key chain = $y
According to question
Price of three t-shirts and four key chains = $134
So the equation is
3x + 4y = $134……………….(1)
Also,
Price of four-shirts and five Key chains = $175
So the equation is
4x+5y = $175……………………..(2)
Now solving the equation using the elimination method.
Multiply Equation (1) by 5 and Equation (2) by 4, we get
15x+20y = 670....................(3)
16x+20y = 700......................(4)
Subtract equation 4 and 3, we get
x = 30
Now put the value of x in equation 1,
3*30 + 4y = $134
90+4y=$134
Subtract 90 on both side, we get;
4y = 44
Divide by 4 on both side, we get;
y = 11
Hence, the price of one t-shirt is $30 and one key-chain is $11.
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The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number and let y represent the second number. If the table will be used to guess and check, what should the equation be at the top of the last column?
Numbers
x
y
x + y = 44
?
y = 3 minus 4 x
y = 4 x minus 3
y = 4 minus 3 x
y = 3 x minus 4
Answer:
\( y = 4minus3 \times \)
\(let x = 44 \\ \\ lety = 4 \\ \\ x + y = 44 \\ \\ 12 \times 4 - 4 = 44\)
Answer:
y = 3 x minus 4
Step-by-step explanation:
hope this helped
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7Can Someone help me!
Answer:50 degree
Step-by-step explanation:
It is an isosceles triangle so two sides and angles are equal. The first line is facing the first angle so the second angle ( m<DEF) = 65 degrees because both angles are equal.
This implies that m<FED =
65 + 65+ <FED= 180( sum of angle in a triangle)
130 + <FED=180
<FED= 180- 130
<FED= 50 degree
When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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What is the Volume and Surface Area of the following figure?
Answer:
71.4
Step-by-step explanation:
you wiil plus it by 30.4+27+14 that is how i got71.4
A 3-inch by 5-inch photo is enlarged proportionally such that its smaller dimension is now 1 foot 3 inches. How many inches are in the larger dimension?
Answer:
There are 25 inches in the larger dimension.
Step-by-step explanation:
∵ 1 foot = 12 inches
∵ The small dimension after enlargement is 1 foot and 3 inches
→ Change it to inches only
∴ The small dimension = 1(12) + 3 = 12 + 3
∴ The small dimension = 15 inches after enlarged
∵ The small dimension of the photo before enlarged = 3 inches
→ Divide its length after enlarged by its length before enlarged to
find the scale of the enlargement
∵ 15 ÷ 3 = 5
∴ The scale of enlarged is 5
→ To find the larger dimension after enlarged multiply its length
before enlarged by 5
∵ The larger dimension before enlarged = 5 inches
∴ The larger dimension after enlarged = 5 × 5
∴ The larger dimension after enlarged = 25 inches
∴ There are 25 inches in the larger dimension.
Fill in the blank with the correct term or number to complete the sentence.
A _____ expression like (3+5) x (4-1) is a combination of numbers and at least one operation
An algebraic expression like (3+5) x (4-1) is a combination of numbers and at least one operation.
Consider the equation -3*e^5w=-88
solve for the equation w. express the solution as log in base e
Answer: The solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5
Step-by-step explanation: Starting with the given equation:
-3e^(5w) = -88
Dividing both sides by -3:
e^(5w) = 88/3
Taking the natural logarithm of both sides:
ln(e^(5w)) = ln(88/3)
Using the property that ln(e^x) = x:
5w = ln(88/3)
Finally, solving for w by dividing both sides by 5:
w = (1/5)ln(88/3)
So the solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5
Find the slope, y intercept and x intercept of the linear equation 5x+6y=15
Answer:
X Intercept is 3,0 and y intercept is 0, 5/2
Step-by-step explanation:
the 5/2 Is a Fraction
7x + 3y = -9
Slope intercept form
The town of Knappville has a landmark, L, an amusement park, AP, a high school, HS, a city hall, CH, and a city park, P. Herberto is at the amusement park and wants to go to the city hall. Name a path he could travel
Herberto travelled through Amusement Park (AP), City Park (P), Landmark (L), High School (HS), City Hall (CH).
Herberto can take the following path to travel from the amusement park (AP) to the city hall (CH):
Amusement Park (AP) -> City Park (P) -> Landmark (L) -> High School (HS) -> City Hall (CH)
This path takes him through the city park, then to the landmark, followed by the high school, and finally to the city hall.
Please note that without a specific map or layout of Knappville, there could be multiple valid paths from the amusement park to the city hall. The path provided above is just one example.
When Herberto travels from the amusement park to the city hall, he can choose various paths depending on the specific layout of Knappville. The path mentioned earlier is just one example, but the actual paths could differ based on the town's infrastructure and the locations of the landmarks.
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Gerri says that if a number is a multiple of 9 it is also a multiple of 3.Do you agree? Explain.
A basketball team scored 8 more points in its second game than in its first. In its third game, the team scored 42 points. The total number of points scored in the three games was more than 150. What is the least number of points the team might have scored in its second game? Will be named brainliest.
Answer:
58
Step-by-step explanation:
x= points in 2nd game
x+8= points in 1st game
42= points in third game
x+x+8+42>150
2x+50>150
2x>100
Therefore x must be greater than 50.
50+8=58, which is the least amount of points in the second game.
Find the distance between (1, 5) and (5, 2) using the Pythagorean Theorem. Type a number for your answer.
Answer:
Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units
= \(\sqrt{(-4)^{2} + (3)^{2} }\) units
=\(\sqrt{25}\) units
= 5 units
Consider the equation 3x−y+3=0.
Find the y-value of the y-intercept of the line
Answer: 3
Step-by-step explanation:
1: 3x-y+3=0
2: y=3x+3
y-intercept: (0,3) y value = 3
plug in and check: 3x-3+3=0 x=0
Which of the following is a run on sentence
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
Find a the slope of the line that pass through (7,-13) and (87, 53)
Answer: The answer is 1.7 or 1 7/10.
Step-by-step explanation:
The entered points belong to an increasing, linear function.Equation: y = 1.7x + 75.1.
d = √(Δy2 + Δx2) = √(-342 + -202) = √1556 = 39.44617
Brainliest and 25 points for solving these
The value that make the function continuous everywhere are:
7. k = 1/98. c = -1 + k9. a = 10 - π and b = π10. b = π/2.How to determine functions that are continuous everywhere?To find the values of a, b, and c that make the given functions continuous everywhere, ensure that the function values from the left and right sides of the points of discontinuity match.
For f(x) = kx², x ≤ 3; 4x - 11, x > 3:
Two parts of the function to agree at x = 3,
Solving for k:
k(3)² = 4(3) - 11
9k = 12 - 11
9k = 1
k = 1/9
Therefore, the value of k that makes the function continuous everywhere is k = 1/9.
For g(x) = cx², x < 1; 4, x = 1; -x³ + kx, x > 1:
Two parts of the function to agree at x = 1.
Solving for c:
c(1)² = -1³ + k(1)
c = -1 + k
Therefore, the value of c that makes the function continuous everywhere is c = -1 + k.
For h(x) = π, x < 0; x² + ax + b, 0 ≤ x ≤ 1; 6x + 5, x > 1:
Three parts of the function to agree at their boundaries.
Solving for a and b:
0² + a(0) + b = π
b = π
1² + a(1) + b = 6(1) + 5
1 + a + π = 6 + 5
a = 10 - π
Therefore, the values of a and b that make the function continuous everywhere are a = 10 - π and b = π.
For f(x) = x², x < 1; sin(bx), x ≥ 1:
Two parts of the function to agree at x = 1.
Setting them equal and solving for b:
1² = sin(b(1))
1 = sin(b)
Therefore, the value of b that makes the function continuous everywhere is b = π/2.
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Draw a circle and label each parts and shade any region
A circle is a two-dimensional geometric shape composed of all points in a plane that are equidistant from a fixed point known as the centre. The radius is the distance between the center and any point on the circle, and the diameter is the distance across the circle passing through the center.
Here is the circle and its each part and region.
(a) The center of the circle is O.
(b) The radius of the circle is OD.
(c) The diameter of the circle is AB.
(d) A sector of the circle is ODA.
(e) A segment of the circle is EF.
(f) A point in the interior of the circle is C.
(g) An arc of the circle is AD.
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Solve each system.
[x-3 y =-1 -6 x+19 y =6 ]
The system of equations [x - 3y = -1 and -6x + 19y = 6] can be solved, resulting in x = -1 and y = 0.
To solve the system of equations [x - 3y = -1 and -6x + 19y = 6], we can use the method of substitution or elimination.
Let's solve it using the method of elimination.
First, we can multiply the first equation by 6 and the second equation by -1 to eliminate the x terms.
This gives us [6x - 18y = -6 and 6x - 19y = -6].
Now, subtracting the first equation from the second eliminates the x terms, leaving us with -y = 0. Solving for y, we find y = 0.
Substituting this value back into the first equation, we get x - 3(0) = -1, which simplifies to x = -1.
Therefore, the solution to the system of equations is x = -1 and y = 0.
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Given the circle below with secants EFG and IHG, find the length of EF.
Round to the nearest tenth if necessary.
10
F
H
15
E
The value of length of EF is,
EF = 23.3 units
We have to given that;
The circle below with secants EFG and IHG.
Now, By secant theorem we can formulate;
⇒ GH × GI = GE × GF
Here, We have to given that;
⇒ GH = 10
⇒ GI = 10 + 15 = 25
⇒ GF = 8
Now, Substitute all the values, we get;
⇒ GH × GI = GE × GF
⇒ 10 x 25 = 8 x GF
⇒ 250 = 8 × GE
⇒ GE = 250 / 8
⇒ GE = 31.3
Therefore, The length of EF is,
EF = 31.3 - 8
EF = 23.3
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the lengths f all the sides of a polygon are tripled, but the angles remain the same. what happened to the area of the triangle
If the lengths of all the sides of a polygon are tripled, but the angles remain the same, the area of the polygon will increase by a factor of 9. This is because the area of a polygon is directly proportional to the square of its side length. Therefore, tripling the side lengths will increase the area by a factor of 3^2, which is 9.
When the lengths of all the sides of a polygon are tripled while the angles remain the same, the new polygon will be similar to the original one but with larger sides. To determine what happens to the area of the polygon in this case, let's consider the following steps:
1. All the sides of the polygon are tripled. This means that each side's length is now 3 times its original length.
2. The angles of the polygon remain the same, so the overall shape is preserved.
3. To find the area of the new polygon, we can use the formula for the area of a similar polygon: (New area) = (scale factor)^2 * (Original area), where the scale factor is the ratio of the new side length to the original side length.
4. In this case, the scale factor is 3 (since the lengths of the sides are tripled). So, we have (New area) = (3)^2 * (Original area).
5. Therefore, the new area is 9 times the original area.
In conclusion, when the lengths of all the sides of a polygon are tripled and the angles remain the same, the area of the polygon increases by a factor of 9.
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Use the point slope form to write the equation of a line that passes through the point (1,-17) with slope 4
The equation of line passing through (1, -17) with slope 4 will be y = 4x - 21 .
What is the slope intercept form of a line ?
The equation of line that can be written as y = mx + c, where m is the slope and c is the line's y-intercept, is known as a slope intercept form.
The equation of a line which is passing through point (1 , -17) with slope m = 4 can be found by using the slope intercept form which is given by :
y = mx + c
Here ; m is the slope and c is the y - intercept of the line.
So ;
The point given is (x , y) = (1, -17) and slope m = 4. Let's use these values to find out the equation of the line. But before that let's find out the value of y-intercept (c).
-17 = (4 × 1) + c
c = - 17 - 4
c = -21
Hence , the equation of line passing through (1, -17) will be :
y = 4 × x + (-21)
or
y = 4x - 21
Therefore , the equation of line passing through (1, -17) with slope 4 will be y = 4x - 21 .
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a quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 16 oz. serving size. the sample mean is 13.30 with a sample standard deviation of 1.55. assume the underlying population is normally distributed with a confidence level of 95%. [2 points] what is the error bound?
The error bound will be 0.877 with the sample mean being 13.30 with a sample standard deviation of 1.55.
To find the error bound, we need to calculate the margin of error, which is the maximum likely difference between the true population mean and the sample mean. We can find this using the formula:
Margin of error = z* (standard deviation / sqrt(sample size))
Where z* is the critical value of the standard normal distribution that corresponds to the desired confidence level.
Since the confidence level is 95%, we can use the z* value of 1.96, which represents the number of standard deviations from the mean that includes 95% of the population.
Plugging in the values we have:
Margin of error = 1.96 * (1.55 / sqrt(12))
Simplifying this, we get:
Margin of error = 1.96 * 0.448 = 0.877
Therefore, the error bound is 0.877. This means we can be 95% confident that the true population means for the amount of soda served in the 16 oz. serving size falls within the range of 13.30 ± 0.877, or between 12.423 and 14.177.
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What is the slope of the line that passes trough the points (-6,3) and (4,8)
Answer:
Step-by-step explanation:
The real estate term lake frontage refers to the distance along the edge of a piece of property that touches a lake.
a. Find the lake frontage ( to the nearest tenth) of each lot shown.
b. In general, the more lake frontage a lot has, the higher its selling price. Which lot(s) should be listed for the highest price?
c. Suppose that lot prices are in the same ratio as lake frontages. If the least expensive lot is $250,000 what are the prices of the other lots? Explain your reasoning.
Part a) The lake frontage of lot A is 50.9 yd
Part b) The lake frontage of lot B is 58.4 yd
Part c) The lake frontage of lot C is 64.7 yd
Part d) The prices of the other lots, from least to greatest, are $286, 836.94 and $317,779.96
we know that
If two figures are similar, then the ratios of its corresponding sides is equal
Find the lake frontage (to the nearest tenth) of each lot shown
we have that
174/(48+55+61) = A/48 = B/55 = C/61
174/164 = A/48 = B/55 = C/61
step 1
leak frontage of lot A
174/164 = A/48
A = 174 × 48/164 = 50.9 yd
Step 2
leak frontage of lot B
174/164 = B/55
A = 174 × 55/164 = 58.4 yd
step 3:
leak frontage of lot C
174/164 = C/61
A = 174 × 61/164 = 64.7 yd
step 4:
the prices of other lots = ?
we know that the price of the lot A is $250,000
so by proportion:
250,000/50.9 = $B/58.4
B = 250,000 × 58.4/50.9
= $286,836.94
250,000/50.9 = $C/64.7
C = 250,000 × 64.7/50.9
= $317,779.96
The prices of the other lots, from least to greatest, are $286,836.94 and
$317,779.96
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a confidence interval for a proportion ranges from 0.45 to 0.74. what is the margin of error for this confidence interval?
The margin of error for this confidence interval is 0.145.
Given :
a confidence interval for a proportion ranges from 0.45 to 0.74.
Confidence interval :
A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times
Margin of error :
Margin of error, also called confidence interval, tells you how much you can expect your survey results to reflect the views from the overall population.
Length of confidence interval = 0.74 - 0.45
= 0.29
we know that,
Margin of error = 1/2 * length of confidence interval.
= 1/2 * 0.29
= 0.29/2
= 0.145
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1. Find the length of each leg.
R
Q
30⁰
4
60%
P
Answer:
QP = 2
QR = 2√3
Step-by-step explanation:
This is a special right triangle with angle measures as follows:
30° - 60° - 90°
And side lengths represented with:
x - x√3 - 2x respectively to angle measures.
The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:
2 and 2√3