Answer:
x° = 26.5
Step-by-step explanation:
Each triangle is a right triangle; one angle = 90°, second angle = x° , and the third angle = 63.5° because the 53° + the two angles adjacent to 53° is will = 180° which is the measure of a straight angle and those two angles are equal because the triangles are congruent by HA ; 180° - 53° = 127° ÷ 2 = 63.5°.
Now each triangle angles = 180° so 90° + x° + 63.5° = 180°; 153.5° + x° = 180;
x° = 180 - 153.5; x° =26.5°
If you test for the difference between the means of two independent samples, there are how many degrees of freedom?
If you test for the difference between the means of two independent samples, there is n1 + n2 - 1 degrees of freedom.
What is degrees of freedom about?When testing for the differences between the means that exist between two independent populations that has the variances in all of their population which is still unknown but said to be equal, the degrees of freedom will be:
n1 + n2 - 1.
Therefore, If you test for the difference between the means of two independent samples, there is n1 + n2 - 1 degrees of freedom.
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Tera can jog 5.5 miles in one hour.At the same rate, how far can she jog in 2 hours?
Answer:
Jehsbdbsjahsbdbwishbxj
Step-by-step explanation:
What height is 181 cm in feet?
To convert height in cm to feet, we first convert cm to inches by multiplying with 0.393701, and then convert inches to feet by dividing by 12. So the height of 181 cm is equal to 5 feet and 11.06 inches.
In many countries, height is commonly measured in centimeters (cm) while in other countries it is measured in feet and inches. It's important to know how to convert between different units of height to understand and communicate your height correctly.
To convert a height given in centimeters to feet and inches, you can use the following conversion: 1 centimeter = 0.393701 inches and 1 foot = 12 inches.
First, you need to convert centimeters to inches. To do this, you can multiply the number of centimeters by 0.393701. For example, if you have a height of 181 cm you would do the following calculation: 181 cm x 0.393701 inches/cm = 71.06 inches.
Next, you'll need to convert inches to feet. To do this, you can divide the number of inches by 12. For example, with a height of 71.06 inches you would do the following calculation: 71.06 inches / 12 inches/foot = 5.92 feet. So the height of 181 cm is equivalent to 5 feet and 11.06 inches.
It's worth noting that the conversion factor between cm and inches is not exact, and the conversion between feet and inches is approximate, so it is possible that the final result will be slightly different depending on the precision used.
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I need help with this plz
Answer:
C.
Step-by-step explanation:
if four people dont want it and there are 14 people total, then it would be (14-4). The photos cost $3 so it would be 3(14-4)=$30
Answer:
C
Step-by-step explanation:
from 14 friends you have to take away the 4 that do not want a photo
(14- 4 ) is the number of kids Charlie will have to pay for
and will pay $3 for each (14-4) kids
3(14-4) is the cost
3(14-4) = 3*10 = is $30
find the values of A and B
PLEASE HELP GIVING BRAINLIEST
Factoring the roots, the values of A and B are given as follows:
A = 3z.B = 2.What are the values of A and B?The expression is:
\(\sqrt{\frac{45\alpha z^3}{40y}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)
We have that:
\(\frac{45}{40} = \frac{9}{8}\)
Hence:
\(\sqrt{\frac{45\alpha z^3}{40y}} = \sqrt{\frac{9\alpha z^3}{8}} = \sqrt{\frac{9\alpha z^2 \times z}{4 \times 2}} = \frac{A\sqrt{\alpha z}}{B\sqrt{2y}}\)
Hence, comparing the last two equalities:
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What is the value of 92 + 33 – 30 ÷ 6?
Plsssss help
Answer:
120 is your sum.enjoy.
Brainliest
Answer:
the value of this would be 120
Solve the equation 6z2-7z-5=0
Answer:
-1/2, 5/3
Step-by-Step Explanation:
6z^2 - 7z - 5 = 0
=> 6z^2 - 10z + 3z - 5 = 0
=> 2z(3z - 5) + 1(3z - 5) = 0
=> (2z + 1)(3z - 5) = 0
=> z = -1/2, 5/3
Hope it helps.
If you have any query, feel free to ask.
Kelly bought cups for home. Each cup cost $3. He gave
$40 to the cashier and got $13 back in change. How many
cups did she buy?
Answer:
40-13=27
3*9=27
She bought 9 cups.
Brainliest plz
Find the root of the equations using the Newton Raphson method. y=f(x)=e^x−x x0=0 ,e^x−3x=3 root of the equation (0,1) in the range x^3+2x^2+6x+3=0 root of the equation (−1,0) in the range
The root of this equation is determined to be approximately 0.567143.The root is found to be approximately -0.673253.
The Newton-Raphson method is an iterative numerical technique used to find the roots of equations. In the first equation, y = f(x) = e^x - x, the initial approximation x0 is set to 0. By applying the Newton-Raphson method, successive approximations of the root are calculated until convergence is achieved. The root of this equation is determined to be approximately 0.567143.
In the second equation, x^3 + 2x^2 + 6x + 3 = 0, the root is sought within the range (-1, 0). The Newton-Raphson method is employed again, starting with an initial approximation x0 of -1. Through iterative calculations, the root is found to be approximately -0.673253.
Both equations demonstrate the effectiveness of the Newton-Raphson method in finding roots within specific ranges by iteratively refining approximations until a satisfactory solution is obtained.
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the fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42 pound g how much will eileen ppay of her bag weighs 63 pounds
For 63 pounds of the bag, Eileen will have to pay $10.71.
Given is that the fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42 pound.
Brett paid $7.14 to check a 42 pound.
Then, for 1 pound, Brett will have to pay $(7.14/42) or $0.17.
So, for 63 pounds of the bag, Eileen will have to pay -
63 x 0.17
10.71
Therefore, for 63 pounds of the bag, Eileen will have to pay $10.71.
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Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3. 5.00E+04. If the numerator was 7. 0 × 109, what was the denominator? (7. 0 × 109) n = 3. 5E4 The denominator is a × 10b, where: a = b =.
The required value of a is 2, and b is 5.
Given thatKyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4 +04.
What is scientific notation?Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.
The given equation is;
\(\rm = a \times 10^b\)
Here,
\(\rm 3.5 \times 10^4=\dfrac{7 \times 10^9}{n}\)
Solving the equation for the value of n.
\(\rm 3.5 \times 10^4=\dfrac{7 \times 10^9}{n}\\\\n = \dfrac{7 \times 10^9}{3.5 \times 10^4}\\\\n = 2 \times 10^5\)
On comparing with the given equation
The value of a= 2 and b = 5
Hence, the required value of a is 2, and b is 5.
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A rectangular concrete patio has a perimeter of 36 meters. It’s area is 77 square meters. What are the dimensions of the patio.
Answer:
7 by 11
Step-by-step explanation:
Let's assume that the length of the rectangular patio is "l" meters and the width is "w" meters.
According to the problem statement, the perimeter of the patio is 36 meters, so we can set up the equation:
2l + 2w = 36
Simplifying this equation by dividing both sides by 2, we get:
l + w = 18
We also know that the area of the patio is 77 square meters, so we can set up another equation:
lw = 77
We now have two equations in two variables, and we can use them to solve for l and w.
From the first equation, we can solve for one variable in terms of the other:
w = 18 - l
Substituting this expression for w into the second equation, we get:
l(18 - l) = 77
Expanding the left-hand side, we get a quadratic equation:
18l - l^2 = 77
Rearranging and simplifying, we get:
l^2 - 18l + 77 = 0
This quadratic equation can be factored as:
(l - 7)(l - 11) = 0
Therefore, the solutions are l = 7 or l = 11.
If l = 7, then w = 18 - l = 11, and the dimensions of the patio are 7 meters by 11 meters.
If l = 11, then w = 18 - l = 7, and the dimensions of the patio are 11 meters by 7 meters.
Therefore, the dimensions of the patio are either 7 meters by 11 meters or 11 meters by 7 meters.
20. The table shows the numberof days you keep a rented movie before returning it and the total cost of renting the
movie. Find the rate of change in cost with repect to time and interpret its meaning.
Time (days)
4
5
6
Cost (dollars)
6.00
8.25
10.50
Step-by-step explanation:
According to given table we have pairs of points:
(4, 6.00), (5, 8.25), (6, 10.50)The rate of change is:
(8.25 - 6.00)/(5 - 4) = 2.25or
(10.50 - 8.25)/(6 - 5) = 2.25It is 2.25 and the meaning is:
Rental per day is $2.25Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be
Answer:
0.05 mile per minutes
Step-by-step explanation:
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered
Miles covered = 1 mile
Time covered = 20 minutes
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)
= 1 mile / 20 minutes
= 0.05 mile per minutes
20 minutes
= 20 × 60 seconds
= 1200 seconds
Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)
= 1 mile / 1200 seconds
= 0.0008333333333 miles per seconds
Approximately 0.000833 miles per seconds
midpoint (10,5), endpoint (4, - 1)
Answer:
M=(7,2)
Step-by-step explanation:
M=(10+4/2,5+-1/2)
M=(7,2)
Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are yellow, blue, red, and green. What are the chances that Elsie gets heads and red on the spinner?
A. 1/8
B. 1/6
C. 1/4
D. 1/2
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Answer:
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B
Answer:
12
Step-by-step explanation:
House A is 24. So divide it by two to get 12. Which is house B
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
45\(yd^{2}\)
Step-by-step explanation:
splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.
Answer:
45 yd2
Its a composite shape, so you'll have to "cut" it into basic shapes first.
I've cut it into two rectangles A and B... (see attachment)
Rectangle A on its own would have a l = 5 yd and w = 3 yd
Rectangle B will have l = 15 yd and w = 2yd
Total area = Area of A + Area of B
= (5 × 3) + (15 × 2)
= 15 + 30
=
\( {45yd}^{2} \)
Create a scatterplot using the following data relating the number of cigarettes a day smoked by a parent and thenumber of days the child missed school in the last quarter of the school year. Draw your estimate of the line of best fit.Select and give the coordinates of two points on the line. Find the slope of the line you drew. Write a sentence thatsummarizes the relationship between the two variables.
The equation for the line of best fit is given by:
y = mx + b
In which m is the slope
They are given by:
\(m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}\)\(b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}\)Sum of x:
Sum of all values of x.
\(\sum ^{}_{}x=3\ast0+5+10+12+15+16+2\ast24+28+30+21+36_{}\)\(\sum ^{}_{}x=221\)Sum of y:
\(\sum ^{}_{}y=0+2\ast2+3+2\ast5+2\ast8+10+2\ast12+2\ast15+20\)\(\sum ^{}_{}y=117\)Sum of squares of x:
\(\sum ^{}_{}x^2=3\ast0^2+5^2+10^2+12^2+15^2+16^2+2\ast24^2+28^2+30^2+21^2+36^2_{}\)\(\sum ^{}_{}x^2=5323\)Sum of xy:
\(\sum ^{\infty}_{n\mathop=0}xy=0\ast(0+2+5)+5\ast3+10\ast5+12\ast8+15\ast10+16\ast2\)\(+24\ast(8+12)+28\ast15+30\ast15+21\ast20+36\ast12_{}\)\(\sum ^{}_{}xy=2545\)
Slope:
14 students, so n = 14.
Then
\(m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}=\frac{14\ast2545-(221\ast117)}{14\ast5323-221^2}=0.38\)\(b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}=\frac{117-0.38\ast221}{14}=2.36\)The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.
Graphic
Jayden is 14 year old his cousin is three less than twice the age of Jayden how old is his cousin
Answer:
25
Step-by-step explanation:
j=14
c=2j-3
2(14)-3=28-3=25
Answer:
Jayden's cousin is 25 years old
Step-by-step explanation:
x=14x2-3
x=28-3
x=25
hopefully this helps :)
you are constructing a cardboard box from a piece of cardboard with the dimensions 4 m by 8 m. you then cut equal-size squares from each corner so you may fold the edges. what are the dimensions (in m) of the box with the largest volume?
The dimensions (in m) of the cardboard box with the largest volume is obtained as 2 m length.
Define the term largest volume?Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. Volume is sometimes referred to as capacity.Dimensions of piece of cardboard;
Length = 8 mWidth = 4 m.Let the corner cut length be 'x',
New dimensions;
Length = 8 - 2x Width = 4 - 2xHeight = xVolume = length x width x height
Put the values;
V = ( 8 - 2x ) (4 - 2x) x
Find the solution of the obtained quadratic equation by quadratic formula.
x = 0, 2 and 4.
As, x ≠ 0 and 4.
Thus, x = 2.
Thus, the dimensions (in m) of the box with the largest volume is obtained as 2 m length.
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The Acme Company produces metal rods. The largest rod that the Acme company produces is 10 feet long and 2 feet in diameter. How much material (the volume) is required to produce 1 metal rod? Round to the nearest tenth. Use 3.14 for \piπ .
Answer:
31.4 ft³
Step-by-step explanation:
Using the relation :
Volume, V = πr²h
Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet
Volume , V = π * 1^2 * 10
V = 1 * 10 * 3.14
V =31.4 feet³
Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³
What is the slope of this table?
х у
-2 15
-116
0 -3
1 -12
2 -21
3 -30
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation:
a firm’s p/e ratio is 20.0. if its market price is $31.00 and there are 1.4 million shares of stock outstanding, what is its net income?
A firm's P/E ratio is a measure of the relationship between its market price and its net income. It is calculated by dividing the market price by the earnings per share (EPS). In this case, the firm's P/E ratio is 20.0, its market price is $31.00, and there are 1.4 million shares of stock outstanding. We can use these values to calculate the firm's net income.
First, we need to calculate the firm's earnings per share (EPS). We can do this by dividing the market price by the P/E ratio:
EPS = $31.00 / 20.0 = $1.55
Next, we can calculate the firm's net income by multiplying the EPS by the number of shares outstanding:
Net income = $1.55 * 1.4 million = $2.17 million
Therefore, the firm's net income is $2.17 million.
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find the area of this shape. 100pts
Answer:
A = 540 m²
Step-by-step explanation:
consider the shape split into 3 rectangles
the length is divided into 3 congruent sections
single dash = 30 m ÷ 3 = 10 m
the width is divided into 3 congruent sections
double dash = 27 m ÷ 3 = 9 m
then area (A) is the total of the 3 rectangular areas
A of left rectangle = 10 × 9 = 90 m²
A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²
A of right rectangle = 10 × 27 = 270 m²
total area = 90 + 180 + 270 = 540 m²
>
What is the slope of a line that is perpendicular to the
line shown on the graph?
5
4
0 -4
3
2
1
04
5 4 3 2 1
2
3
4
5
O 4
-2
-3
Answer:
4
Step-by-step explanation:
Because the perpendicular slope of a line should be the negative reciprocal. The slope of the line is -1/4. So the slope of the perpendicular line is 4
The slope of a line that is perpendicular to the given line is -1/4.
What is slope?In mathematics, slope refers to the steepness or inclination of a line. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
To find the slope of a line that is perpendicular to this line, we need to use the fact that the product of the slopes of perpendicular lines is always -1.
So, let's call the slope of the given line "m". The slope of a line perpendicular to this line can be found by taking the negative reciprocal of "m". That is:
slope of perpendicular line = -1/m
For example, if the given line has a slope of 4, then the slope of a line perpendicular to it would be:
slope of perpendicular line = -1/4
Thus, the answer is -1/4.
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Let f be a function such that lim h->0 ( f(2+h)-f(2) / h ) = 5. Which of the following are true?
I) f is continuous at x=2
II) f is differentiable at x=2
III) The derivative of f is coninuous at x=2
I) f is continuous at x=2
II) f is differentiable at x=2
These both f (function ) are true
The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.
Using this information, we can make the following conclusions:
I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.
II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.
III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.
Therefore, the correct answers are II and III.
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Factor the term ab - by - ay + y2
Answer
(a - y) (b - y)
Step-by-step explanation:
(ab - ay) (-by + y^2)
a (b - y) -y ( b - y)
(a-y) (b - y)
.. ..
Answer:
\(\boxed{(a-y) (b - y)}\)
Step-by-step explanation:
Rearrange the terms.
\((ab - ay) (-by + y^2)\)
Factor out common term.
\(a (b - y) -y ( b - y)\)
Apply rule : \(a(b+c)+d(b + c) = (a+d)(b+c)\)
\(a (b +- y) +-y ( b +- y)\)
\((a+-y) (b +- y)\)
In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter
The area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.
How to evaluate for the area of the triangleWhen two side length of a triangle and the angle between them is given, the area is half the multiplication of the two sides and the sine of the angle.
Area of the triangle = 1/2 × 4.7 × sin162
Area of the triangle = 11.4738/2
Area of the triangle = 5.7369.
Therefore, the area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.
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