Answer:
congruent
Step-by-step explanation:
Find the perimeter of the figure to the nearest hundredth.
How many square inches of cloth are cut from the square (n = 3.14) if it’s 38inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius is given as,
r = 36 / 2
r = 18 inches
The area of the circle is given as,
A = π x (18)²
A = 3.14 x 324
A = 1,017.36 square inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
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The complete question is given below.
A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth is cut from the square?
(π = 3.14)
1,017.36 in2
1,489.24 in2
1,182.96 in2
1,276.00 in2
GIVING 75 POINTS URGENTTTT please help me thanksssss
Matching each number with its name, 1,254 :: whοle number
What is whοle numbers?Whοle numbers are a set οf numbers including all natural numbers and 0. They are a part οf real numbers that dο nοt include fractiοns, decimals, οr negative numbers. Cοunting numbers are alsο cοnsidered as whοle numbers.
Whοle numbers are pοsitive integers (including zerο) withοut any fractiοnal οr decimal parts. They are used tο cοunt whοle οbjects οr things, and cannοt represent a part οf a whοle. Examples are 0, 1, 2, 3, 4, 5, and sο οn.
0.143143143.... :: repeating decimal
0.123456789..... :: nοn-terminating/nοn-repeating
0.13 :: terminating
1,254 :: whοle number
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You go out to eat with 3 friends and your meal was $72.50. There is 6.75% sales tax and you plan to tip the server 15%. How much should each person pay?
The amount that each person should pay is $22.06 .
in the question ,
it is given that
total number of persons = 3 person + 1 = 4 persons
cost of the meal = $72.50
sales tax percent = 6.75%
tip percent = 15%
So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89
and , the amount of tip is = 15% of cost
= 0.15 * 72.50
= 10.87
So , the total amount payable is = cost + sales tax + tip
= 72.50 + 4.89 + 10.87
= 88.26
since the total number of persons is 4 ,
the amount per person is = 88.26/4 = 22.06
Therefore , The amount that each person should pay is $22.06 .
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You sell a total of 17 pieces of disposable and washable face masks.what is the answer
Find the height of a cylinder with a volume of 12157 mm3 and a radius of 9 mm.
Volume of a Cylinder = pi * r^2 * h
V / (pi*r^2) = h
12157 / (pi * 9^2) = h = 47.774
Starting with the number 10, build a sequence of 5 numbers.
Answer:
Step-by-step explanation:
To build a sequence, you have to create a rule. For example, if the rule is +2, then you add 2 to 10 to get 12, and then you add 2 to 12 to get 14, and so on. Your sequence would then be 10, 12, 14, 16, 18.
Solve |x-6|+8=17.
A. x=-15 and x=3 B. x=15 and x=-15 C. x=15 and x=-3 D. x=-15 and x=-3
Answer:
A. x=-15 and x=3
Step-by-step explanation:
|x+6|+8=17
|x+6|=9
-1(x+6)=9 x+6=9
-x-6=9 x=3
-x=15
x=-15
suppose a research report states that the result of a between subjects one-way anova is f (3, 32) = 3.47 should the researcher reject the null hypothesis if using alpha = .05
Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.
In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.
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a poll was conducted two weeks before an election and showed that the incumbent would win with 54% of the vote, with a 3% margin of error. what is the confidence interval for this poll?
The confidence interval for the given poll is; 51% to 57%
How to find the confidence Interval?We are given that;
Sample proportion; p = 54% = 0.54
Margin of error; E = 3% = 0.03
Now, formula for confidence interval of proportions is;
p ± E
where;
p is sample proportion
E is margin of error
Thus;
CI = 0.54 ± 0.03
CI = (0.54 - 0.03), (0.54 + 0.03)
CI = (0.51, 0.57)
We conclude that the confidence interval is CI = (0.51, 0.57)
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(2011 aime i). [8] for some integer m, the polynomial x 3 −2011x m has the three integer roots a, b, and c. find |a| |b| |c|.
The absolute values of the three integer roots of the given polynomial are |a| = 0, |b| = 2011, and |c| = 2011.
The given polynomial is x³ - 2011xᵐ.
We are asked to find the absolute values of the three integer roots of this polynomial, denoted as a, b, and c.
To find the roots, we can set the polynomial equal to zero and solve for x:
x³ - 2011xᵐ = 0
Factoring out an x gives us:
x(x² - 2011xᵐ⁻¹) = 0
From this equation, we can see that one of the roots is x = 0.
Now let's focus on the second factor, x² - 2011xᵐ⁻¹ = 0.
This quadratic equation has two roots, which we can find using the quadratic formula:
x = (-b ± √(b² - 4ac))/(2a)
For this equation, a = 1, b = -2011, and c = 0. Substituting these values into the quadratic formula, we get:
x = (-(-2011) ± √((-2011)² - 4(1)(0)))/(2(1))
x = (2011 ± √(4044121))/(2)
Simplifying further, we have:
x = (2011 ± √(2011²))/(2)
x = (2011 ± 2011)/(2)
This gives us two possible values for x:
x = (2011 + 2011)/(2) = 2011
x = (2011 - 2011)/(2) = 0
Now we have three potential roots: x = 0, x = 2011, and x = 2011.
To find the absolute values of these roots, we take the absolute value of each:
|0| = 0
|2011| = 2011
|2011| = 2011
Therefore, the absolute values of the three integer roots of the given polynomial are |a| = 0, |b| = 2011, and |c| = 2011.
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a study of the fuel economy for various automobiles plotted the fuel consumption (in liters of gasoline used per 100 kilometers traveled) vs. speed (in kilometers per hour). a least squares line was fit to the data. here is the residual plot from this least squares fit. what does the pattern of the residuals tell you about the linear model? (a) the evidence is inconclusive. (b) the residual plot confirms the linearity of the fuel economy data. (c) the residual plot does not confirm the linearity of the data. (d) the residual plot clearly contradicts the linearity of the data. (e) none of the above
Based on the provided data and the residual plot from the least squares method fit, the pattern of the residuals tells you about the linear model that the residual plot clearly contradicts the linearity of the data. (Option D).
The least square method refers to the process of determining the best-fitting curve or line of best fit for the data points by decreasing the sum of the squares of the offsets (residual part) of the points from the curve. It is a mathematical regression analysis which is utilized to establish the best fit for processing data while providing a visual demonstration of the relation between the data points. The residual plot in the given situation indicated that the residual plot clearly contradicts the linearity of the data.
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What is the value of x in this triangle?
Answer:
\(\huge\boxed{\sf x = 83\°}\)
Step-by-step explanation:
Statement:The sum of internal angles of a triangle equals 180 degrees.Solution:So,
x + 53 + 44 = 180
x + 97 = 180
Subtract 180 from both sidesx = 180 - 97
x = 83°\(\rule[225]{225}{2}\)
Answer:
x = 83
Step-by-step explanation:
You can apply the theory of euclidean triangle: all three measurements of a triangle sum up and equal to 180°.
Therefore, we sum three angles and set to 180°
\(\displaystyle{x^{\circ} + 44^{\circ} + 53^{\circ} = 180^{\circ}}\\\\\displaystyle{x^{\circ} + 97^{\circ} = 180^{\circ}}\)
Solve for x; subtract both sides by 97°:
\(\displaystyle{x^{\circ} + 97^{\circ}-97^{\circ}= 180^{\circ}-97^{\circ}}\\\\\displaystyle{x^{\circ} = 83^{\circ}}\)
Therefore, x = 83
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
Around the beginning of the 1800’s, the population of the U.S. was growing at a rate of about 1.33^t million people per decade, with "t" being measured in decades from 1810.
If the population P(t) was 7.4 million people in 1810, estimate the population in 1820 (one decade later) by considering the work in example 2.
We can determine the population in 1820 was 8.5753 using a linear equation.
What does a linear equation mean in mathematics?A linear equation is one that has just a constant and a first order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.
When x and y are the variables, the aforementioned is sometimes referred to as a "linear equation of two variables."
dp/dt = \(1.37^{t}\)
Integrate both sides.
p[h] = ( \(1.37^{t}\))/In (1.37) + c
1810 ⇒ t = 0
7.4 = 1/In (1.37) + C
C = 4.2235
p(H) = ( \(1.37^{t}\))/In (1.37) + 4.2235
P (1) = \(1.37^{t}\)In (1.37) + 4.2235
= 8.5753
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Identify the zero(s) of the function algebraically f(x)=3x+27
Answer:
3(x+9)
the zeros of the equation is (0,-9)
PLEASE HELP
Compare -3 and 9. Which of the following is true
A. -3 < 9 and -3 < 9
B. -3 = 9 and -3 < 9
C. -3 > 9 and -3 < 9
D. -3 > 9 and -3 > 9
Answer:
A
Step-by-step explanation:
Because A option has two correct pairs like 9 is bigger than -3 the two options are same
To find x and how to do it
Answer:
Step-by-step explanation:
teorema de pitagoras
2 and 1/6 divided by 4 and 1/3, help pls
Answer:
The answer is 1 9/19
Step-by-step explanation:
Six subtracted from one times a number is -18. What is the number?
Answer:
-12
Explanation:
Let's call the unknown number x.
Then, six subtracted from one times a number is -18 can be written as
1x - 6 = -18
So, we can solve for x, adding 6 to both sides
x - 6 = -18
x - 6 + 6 = -18 + 6
x = -12
Therefore, the number is -12
Question 5 of 10
Which polynomial function is graphed below?
The polynomial function that is graphed is f(x) = (x + 4)(x - 2)²
Finding the polynomial function that is graphedFrom the question, we have the following parameters that can be used in our computation:
The graph of the polynomial
From the graph of the polynomial, we have the following highlights
It crosses the x-axis at x = -4It touches the x-axis at x = 2The above means that the multiplicities are
x = -4 with multiplicity 1
x = 2 with multiplicity 2
So, we have
f(x) = (x - zero) with an exponent of the multiplicity
using the above as a guide, we have the following:
f(x) = (x + 4)(x - 2)²
Hence, the polynomial function that is graphed is f(x) = (x + 4)(x - 2)²
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You know that 3 pencils and 7 pens cost $24, while 3 pencils and 3 pens cost S12.
How many dollars are 4 pencils and 5 pens worth?
Answer:
5 pens = 15$ and 4 pencils = 4$
Step-by-step explanation:
7-3=4, so 4 pens is 12$
12/4 = 3, so 1 pen = 3$
Remove the pens from the equation
7x3=21
24-21=3
3/3=1, so each pencil costs 1$
4 pencils and 5 pens are worth $23.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let the cost of one pencil be x, and the cost of one pen be y.
Then we can set up the following system of equations based on the given information:
3x + 7y = 24 ...(1)
3x + 3y = 12 ...(2)
Solving these two equations, we can find that x = 2 and y = 3.
Now, we can use these values to find the cost of 4 pencils and 5 pens:
4x + 5y = 4(2) + 5(3) = 8 + 15 = $23
Therefore,
4 pencils and 5 pens are worth $23.
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The function f(x) = |x+3| is transformed by the following transformations to a new function g(x):
A translation 2 units down.
A translation 1 unit to the right.
Reflection across the x-axis.
What is the equation of the new function g(x)?
The equation of the new function g(x) is g(x) = 2 - |x+2|
Transformation of functionTransformation is. way of changing the position of an object on an xy-plane.
Given the parent function f(x) = |x+3|.
If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to |x+2| - 2
The reflection of the resulting function across the x-axis is given as:
g(x) = -(|x+2|-2)
g(x) = 2 - |x+2|
Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|
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The perimeter of a rectangular field is 292 yards. If the width of the field is 55 yards, what is its length?
nyards
Answer:
91
Step-by-step explanation:
We can let the length of the field be l. Then, 2l + 2(55)=292. 2(55)=110, so 2l+110=292, and 2l = 182, so l = 91.
$2100.00 is invested in anaccount with a 3.8% interest ratethat is compounded quarterly.How much money is in theaccount at the end of one year?
Given
\(\begin{gathered} P=\text{ \$2100} \\ R=3.8\text{ \%} \\ n=\frac{3}{12}=\frac{1}{4}=0.25 \end{gathered}\)Formula
\(A=P(1+\frac{r}{n})^{nt}\)Substitute the given into the formula
\(undefined\)The final balance is ₦2,180.94
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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what is the average cost, in dollars per gallon, of fuel in europe? express your answer numerically in dollars per gallon to three significant figures. usd/gallon
The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars. The total cost of the fuel is 383 USD.
Significant Figure
Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.
Euro and Dollars:
The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars.
Given here,
Total distance = 5000 km
Average fuel consumption = 6 lit per 100 km = 0.06 lit / km
Average fuel cost = 1.063 EUR/lit
1 EUR = 1.2 USD
So, Total fuel consumption,
⇒ 5000 km × 0.06 lit /km
⇒ 300 lit
Thus, Total fuel cost,
⇒ 300 lit × 1.063 EUR/lit
⇒ 318.9 EUR
⇒ 318.9 EUR × 1.2 USD
⇒ 383 USD
Therefore, the total cost of the fuel is 383 USD
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y= 1/6x - 1
Find the slope
Answer:
m=1/6
Step-by-step explanation:
The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial purchase is approximated by R(t) = 550,000e^0.22t Find and interpret the rate at which the resale value is changing. a. What is the decay rate of the resale value? -121000e^(-, 22t) b. 10 years after the initial purchase. R'(10) = -13407.18 c. 20 years after the initial purchase. R' (20) = -1485.56
The decay rate for the resale price of laser cutting tool will be -121000\(e^{-0.22t}\)
Let R is the resale value of a particular type of laser cutting tool after years
Where, R(t) = 550000\(e^{-0.22t}\)
Rate at which the resale value is changing will be dR/dt = 550000\(e^{-0.22t}\)(-0.22)= -121000\(e^{-0.22t}\)
Initial value of the laser cutting tool, at time ‘t’ =0 will be 550000\(e^{-0.22t}\)x0 = 550000
At time ‘t’ resale value is 550000 \(e^{-0.22t}\)
Therefore, the decay in resale price = 550000 - 550000 \(e^{-0.22t}\)
Therefore, the decay rate = (550000 - 550000 \(e^{-0.22t}\))/t = 550000(1-\(e^{-0.22t}\))/t
As we have dR/dt = R’ = -121000\(e^{-0.22t}\)
Therefore, R’(10) = -121000\(e^{-2.2}\) = -13407.18
Therefore, after 10 years the resale price will be -13407.18
R’(20) = -121000\(e^{-4.4}\)= -1485.55
Therefore, after 20 years the resale price will be -1485.55
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You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.47 cm.
If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?