Answer:
1 in^2
Step-by-step explanation:
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
Answer:
8
Step-by-step explanation:
The following scatterplot shows two variables, x and y, along with a least-squares model.
Which of the following is a high leverage point with respect to the regression?
A (5,8)(5,8)
B (20,31)(20,31)
C (27,22)(27,22)
D (30,60)(30,60)
E (80,70)
Answer:
D(30,60)
Step-by-step explanation:
It was way outside the other points that are around the line.
The point (30,60) is a high leverage point on the regression plot.
What is High leverage points?High leverage points are those that are extreme but follow the regression equation's trend.
High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.
Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.
Hence, the point (30,60) is a high leverage point on the regression plot.
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Find x if a = 13 and C = 47.
a in:
2 111.
Answer:
45 or two decimal points 45.167.
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be
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Ahmad took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.
The total interest he paid on the loan was $245.
How much money did Ahmad borrow?
Answer:
$488778
Step-by-step explanation:
For a for interest is;
i = PRT/100
Where;
R is rate
P is Principal
T is time
i is interest
We are given;
R = 12.5% = 0.125.
T = 146 days = (146/364) = 0.4011
i = $245
Thus;
245 = (P × 0.125 × 0.4011)/100
Thus;
P = (245 × 100)/(O.125 × 0.401)
P = $488778
Express log6 (15) in terms of common logarithms *no file answers*
What is an exponent?
I am just confused. I need the definition. Thx
Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Answer:
an exponent is how many times you multiply a number by itself.
Step-by-step explanation:
For example, if there is a 4 with a 3 as an exponent, you would solve 4x4x4, also known as 4 cubed. or if there was a 2 with a 4 as an exponent , you would do 2x2x2x2. Hope this helps :)
Find all solutions to the equation. Show steps! Answer correctly for Brainliest!
sin^(2)x + sin x = 0
Answer:
\(\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}\)
Step-by-step explanation:
We want to solve the equation:
\(\sin^2x+\sin x=0\)
Factor:
\(\sin x(\sin x+1)=0\)
Zero Product Property:
\(\sin x=0\text{ or } \sin x+1=0\)
Recall that sine equals 0 at 0 radians. This will repeat every π radians. So:
\(x=n\pi, n\in\mathbb{Z}\)
(Where n is an integer).
In the second case, we have:
\(\sin x=-1\)
This occurs at 3π/2 and will repeat every cycle or 2π. Hence:
\(\displaystyle x=\frac{3\pi}{2}+2n\pi, n\in\mathbb{Z}\)
Our solution is:
\(\displaystyle x=\left\{n\pi, \frac{3\pi}{2}+2n\pi \right\}, n\in\mathbb{Z}\)
Notes:
In the interval [0, 2π), the solutions are:
\(\displaystyle x=\left\{0,\pi, \frac{3\pi}{2}\right\}\)
Helpppppp meeeeee please
Answer:
D
Step-by-step explanation:
friend I am not sure but ..u can take a chance fir D or wait for others
RS is the perpendicular bisector of PQ point T is the midpoint of PQ point U lies on RS if the length of UP is 7 units the length of UQ is how many units
If the length of UP = 7, then the length of UQ will also be = 7 units.
What is a perpendicular bisector?
A perpendicular bisector is a line that cuts a straight line into two both anteriorly and posteriorly.
From the given information:
RS || SQ = perpendicular linesT = midpoint of PQIf the length of UP = 7 units, then the length of UQ will also be = 7 units.
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Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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Divya is painting a room. She uses 3/4 gallon of paint to cover 1/5 of a wall. If the walls are all the same size how much paint will she need to cover one wall?
Answer: 3 3/4
Step-by-step explanation: brainliest plsss
Enter the coordinates of the solution of these two linear equations.
Answer:
(-4,2) are solution coordinates
This is the point in which these two lines intersect
F(x) = 3x + 2
What is f(5)
Step-by-step explanation:
to find f(5) in f(x) , just put in '5' where 'x' is in the equation
f(5) = 3 (5) + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Let's evaluate the function for f(5)
\(\rm{f(x)=3x+2}\)Insert 5 everywhere x appears:
\(\rm{f(5)=3(5)+2}\)\(\rm{f(5)=15+2}\)\(\rm{f(5)=17}\)Therefore f(5) = 17
Charmaine wants to rent a boat and spend at most $56. The boat costs $6 per hour, and Charmaine has a discount coupon for $4 off. What are the possible numbers of hours Charmaine could rent the boat.
Use t for the number of hours.
Write your answer as an equality solved for t.
Find the sum of 6x2 + 10x – 1 and 45x2 – 2x + 1.
Answer:
51x² + 8x
Step-by-step explanation:
Step 1: Write expression
6x² + 10x - 1 + 45x² - 2x + 1
Step 2: Combine like terms (x²)
51x² + 10x - 1 - 2x + 1
Step 3: Combine like terms 9x)
51x² + 8x - 1 + 1
Step 4: Combine like terms (constants)
51x² + 8x
The product of two and a number added to six, gives fifty-two.
The product of two and a number added to six, gives fifty-two.
Let
p ----> the number
2(p+6)=52A54С3BFind sin(ZABC + 60°).
The given expression is
\(\sin (\angle ABC+\mathring{60})\)At first, we will use this rule to solve the question
\(\sin (A+B)=\sin A\cos B+\cos A\sin B\)By using this rule with the given expression, then
\(\sin (\angle ABC+\mathring{60})=\sin \angle ABC\cos 60+\cos \angle ABC\sin 60\)From the given triangle
\(\begin{gathered} \sin \angle ABC=\frac{AC}{AB} \\ \sin \angle ABC=\frac{4}{5} \\ \cos \angle ABC=\frac{BC}{AB} \\ \cos \angle ABC=\frac{3}{5} \end{gathered}\)Since angle 60 is a special angle then
\(\begin{gathered} \sin 60=\frac{\sqrt[]{3}}{2} \\ \cos 60=\frac{1}{2} \end{gathered}\)Let us substitute these values in the rule above
\(\sin (\angle ABC+60)=(\frac{4}{5})(\frac{1}{2})+(\frac{3}{5})(\frac{\sqrt[]{3}}{2})_{}\)Simplify the right side
\(\sin (\angle ABC+60)=\frac{2}{5}+\frac{3}{10}\sqrt[]{3}\)The correct answer is B
What is the following product? 3 square root of 4 times square root of 3
Answer:
10.3923048454
Step-by-step explanation:
3 square root (4) x square root (3)
Plane A was flying at an altitude of 8 km and Plane B was flying at an altitude of 700 dam. Which plane was flying at a greater altitude?
Answer:
Step-by-step explanation:
1 km= 1000 m
1 dam= 10 m
8 km= 8000m
700 dam = 7000m
so Plane A
plane A is higher by 700m!
hope it helped!
Plane A flying with greater altitude
What is Unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given:
plane A= 8 km
plane B= 700 dam
Now,
1 km= 1000 m
1 dam= 10 m
So,
8 km= 8000m
700 dam = 7000m
Hence, Plane A is flying higher.
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What is 4x + x equal to?
Also Can I add 4x + 1? explain your
answers
Without a value for x, 4x + x is equal to 5x. If a variable is by itself, you can put a 1 as a coefficient. For example, g = 1g.
1g simply means 1 times g, which is the same as just g.
You cannot add 4x and 1 since they are not like terms. If you have a value for x, THEN you can add them, after substituting the value of x into x.
A triangle has an area of 114.6 square kilometers and a height of 12 kilometers. What is the length of the base?
Answer:
base = 19.1 km
Step-by-step explanation:
start with formula:
A = bh/2
plug in what's known:
114.6 = 12b/2
114.6 = 6b
b = 114.6/6
b = 19.1
determine the values for which the rational expression is undefined.Z = __,__
Fort the function:
\(\frac{x-1}{x^2-2x-8}\)The expression is undefined when the denominator is 0, then:
\(x^2-2x-8=(x+2)(x-4)\)This expression is equal to 0 when x= -2 or 4.
The expression:
\(\frac{x-1}{x^2-2x-8}\)Is undefined for x= -2 or x=4
Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
Rotation - Question 5
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
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Jack launches a toy rocket from a platform. The height of the rocket in feet is given by h(t)= -16t^2+112t+60h(t)=−16t
2
+112t+60 where tt represents the time in seconds after launch. What is the appropriate domain for this situation?
The appropriate domain for this situation is t ≥ 0.
This is because the height of the rocket is a quadratic equation, which can only be positive. Thus, the time after launch must be greater than or equal to 0.
The domain can be calculated by solving the quadratic equation for t. To do this, the equation must be rearranged to the form \(ax^2 + bx + c = 0\). After rearranging, the equation is \(16t^2 - 112t - 60 = 0\). Using the quadratic formula, the two solutions for t are t = 3.75 and t = -4.25. Since the time after launch must be a positive value, the only valid solution is t = 3.75. Therefore, the domain of this equation is t ≥ 3.75. However, since this is a toy rocket, it is reasonable to assume that the launch time was 0, which would make the domain t ≥ 0.
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In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is \(0.5753< p <0.62474\)
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is \(E = 0.02474 \)
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is \(\^ p = 0.60\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)
=> \(E = 0.02474 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \(0.60 - 0.02474 < p <0.60 + 0.02474\)
=> \(0.5753< p <0.62474\)
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
During game 3 of the basketball championships, San Antonio scored 97 points consisting of 2-point and 3-point baskets. If San Antonio made a total of 45 baskets, how many of each type did they make?
Answer:
look at the pictures
Step-by-step explanation:
Ms. Ledford wanted to cover the classroom with new carpet. If the length of the
classroom was 12 feet and the width was 8 feet. How much carpet would she need
to buy?
Answer:
96 ft^2
Step-by-step explanation:
12ft × 8ft to find area of classroom
96ft so Ms. Ledford has to buy 96 square feet of carpet
Answer:
96 ft^2
Step-by-step explanation:
Area = L x W
12 x 9=96
Helpp please I don’t understand :(
Answer:
s = 2 1/3 + 1/2
t = 2/3 + 3/2
We have to find the sum of both s and t.
2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6
2/3 + 3/2 = 4/6 + 9/6 = 13/6 = 2 1/6
If we look at the number lines, we can see that c matches with both points.
i need help with my work asap
The area of the figure is 225 ft²
How to determine the valueFrom the figure shown, we have that it is made up of a triangle and a rectangle.
Now, the formula for calculating the area of a triangle is expressed as;
A = 1/2bh
Such that;
b is the baseh is the heightSubstitute the values
Area = 1/2 × 10 × 15
Multiply the values
Area = 75 ft²
Area of the rectangle is;
Area = length × width
Area = 10(15)
Area = 150 ft²
Total area = 225 ft²
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