Answer:
Step-by-step explanation:
Remark
The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.
Givens
a = 10
b = 8
c = ? This is the length of the diagonal.
Solution
a^2 + b^2 = c^2
10^2 + 8^ = c^2
100 + 64 = c^2
c^2 = 164
√c^2 = √164
c = 12.806
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer: g/9
Step-by-step explanation: Cuz well it is what it is
PLS mark as brill
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
Please help me and use laws of exponents
Answer:
5^2x ÷ 5^-3 = 5⁵(5×5×5×5×5)
5^2x ÷ 1/5³(5×5×5) = 3125
5^2x ÷ 1/125 = 3125
5^2 × 4 = 3125
125
5⁸(5×5×5×5×5×5×5×5) = 3125
125
390625 = 3125
125
so the value X is = 4
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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Decide if the given value of x is a critical number for f, and if so, decide whether the point for x on f is a relative minimum, relative maximum, or neither.
f(x) = ( x + 5)^4; x = - 5
A. Critical number; maximum at (-5 , 0)
B. Critical number; minimum at (-5 , 0)
C. Not a critical number.
D. Critical number but not an extreme point.
The value of the function after evaluation is , f(x)=0 . Hence it is neither a minima nor a maxima.
f(x) =(x + 5)^4; x = - 5
=(-5+5)^4
=(0)^4
=0
The critical value is crucial for accurately portraying a range of properties in statistics. The critical value can be helpful for proving or disproving ideas when they are tested, in addition to validity and accuracy.
If you're taking a statistics course or are just interested in how these concepts work, it is essential to comprehend critical value and how to compute it before analyzing other statistical functions, such as margin of error and significance.
When calculating the margin of error for a set of data, statisticians utilize a measurement known as the critical value.
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Which table represents a nonlinear function? ASAP
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
Please I need help (>^<)ゞ
Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15
Answer:
Step-by-step explanation:
D
Which expressions are completely factored?
Select each correct answer.
Responses
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
The expressions that are completely factored are:
16a5−20a3=4a3(4a2−5) is correct.12a3+8a=4(3a3+2a) is correct.24a4+18=6(4a4+3) is correct.Why are they considered to be correct?The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.
For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.
Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).
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Answer:
16a^5−20a^3=4a^3(4a^2−5)
and
24a^4+18=6(4a^4+3)
Step-by-step explanation:
read and answer the following:
Answer:
here ,
origin means (0,0)
so ,
h and k are 0 and 0
and diameter ( d) is 4
r = d/2
using formula
(x-h)^2 +( y-k)^2 = r^2
(x-0)^2 +( y-0)^2= 2^2
x^2+y^2= 4 is the equation.
Please help !! Which are pairs of vertical angles?
< AOC and
Answer: all of them
Step-by-step explanation:
A couch at a department store costs $490.00. What is the total cost of the couch after a 7% sales tax is applied? Responses
Answer:
$524.30
Step-by-step explanation:
490x107%=524.30
I need help pleaseeee
Answer:A
Step-by-step explanation:
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
scientist has two solutions, which she has labeled solution a and solution b. solution a is 60% salt and solution b is 85% salt. she wants to obtain 140 ounces of mixture that is 80% salt. How many ounces of each solution should she use?
Answer:
We have 60% salt and 85% salt solutions and we need 140 ounces of a solution that is 80% salt.
We set up 2 equations:
A) x + y = 140
B) .60x + .85y = .80 * 140
Multiply equation A) by -.60
A) -.60x -.60y = -84 then we add this to B)
B) .60x + .85y = 112
.25y = 28
y = 112 ounces of 85% salt
x = 28 ounces of 60% salt.
Double Check
112 * .85 = 95.2 AND 28 * .60 = 16.80
95.2 + 16.80 = 112
and 112/140 = 80 per cent!!
Source: http://www.1728.org/mixture.htm
Step-by-step explanation:
What are reports usually used for?
Answer:
Provide information to educate, inform, convince, or drive decisions. Formal reports are detail- and structure-oriented. Due to the long nature, they often include many sections
Reports are usually used to provide information, analysis, and recommendations to aid in decision-making processes. Reports may be used to communicate financial information, market research, project progress, performance evaluations, and other relevant data to stakeholders such as managers, investors, and employees. Reports are often expected to be clear, concise, and well-organized, and may include graphs, charts, and other visual aids to help illustrate the information presented. They can be generated at regular intervals or on an ad hoc basis depending on the needs of the organization.
Goodluck!!
problem 1. 6(x-2) = - 18
problem 2. 17 = 5k - 2
please help
5x - 3x - 2
Completely factor each of the following expressions
Answer:
2x−2
Step-by-step explanation:
In an experiment, the number of insects on a randomly selected plant is recorded.a Specify the sample space for this experiment.b Give the set A representing the event of at most three insects being on the plant.c Explain why each of the possible outcomes in the sample space is not equally likely.
Answer:
{0, 1, 2, 3, 4, 5,....} ;
{0, 1, 2, 3} ;
Step-by-step explanation:
Number of insect on a randomly selected plant
The number of insect in such an experiment will be an integer value ;
Hence, sample space will be ;
{0, 1, 2, 3, 4, 5,....}
B.) Event of at most three insects:
Number of insects = 0 ;
Number of insect = 1 ;
Number of insect = 2 ;
Number of insect = 3 ;
n ≤ 3 {x : x ≤ 3}
{0, 1, 2, 3}
3.)
Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.
The winner of a 50 mile race drove his car to victory at a rate of 112.9094 mph. What was his time (to the nearest thousandth of an hour)?
His time was
hours.
(Round to the nearest thousandth.)
Answer:
0.443 hours
Step-by-step explanation:
time = total distance / mph
time = 50 / 112.9094
time ≈ 0.443 hours
Answer:
0.443 hours
Explanation:
Given following:
speed: 112.9094 mphdistance: 50 milesFormula:
\(\sf time \ taken = \dfrac{distance}{speed}\)
Substitute values to find time taken:
\(\sf \rightarrow time = \dfrac{50}{112.9094 }\)
evaluate
\(\sf \rightarrow time = 0.4428329262\)
rounded to nearest thousandth
\(\sf \rightarrow time = 0.443\)
The sum of three consecutive integers is -15.
If 1 is added to each integer, what is the product.
of the three resulting integers?
10. What is the total surface area of the drawing?
A. 549 km²
B. 256 km²
C. 564 km²
D. 265 km²
Please help! Picture attached!
Answer:
6.2
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2
= √4.52+4.2524.52+4.252
= √20.25+18.062520.25+18.0625
= √38.312538.3125 = 6.1897
Solve the system by substitution  y=-382
y = 6x + 3

okay so i assume you meant these two:
y=-382 and y=6x+3
Answer:
y=-382
x=-385/6
Step By Step:
y=−382;y=6x+3
Step: Solve y=−382 for y:
y=−382
Step: Substitute −382 for y in y=6x+3:
y=6x+3
−382=6x+3
−382+−6x=6x+3+−6x (Add -6x to both sides)
−6x−382=3
−6x−382+382=3+382 (Add 382 to both sides)
−6x=385
Divide both sides by -6.
x=-385/6
y=-382
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
and a height of 18 meters?
(A) 162 cubic meters
(B) 24 cubic meters
(C) 324 cubic meters
(D) 108 cubic meters
Answer:
A
Step-by-step explanation:
because when you multiply 3x3 (the base) times 18(the height) you get= 162
х+ Зу = 6
бx — бу = 4
Answer:
the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3
the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x
Step-by-step explanation:
hope this helps
x = 6 - 3y....... equation 1
6x -6y = 4
or, 6 (6 - 3y) - 6y = 4
or, 36 - 18y - 6y = 4
or, 36 - 24y = 4
or, 36 - 4 = 24y
or, 32/24 = y
or, 4/3 = y
Out of 6,000 people, 4,500 said they spend over 20 hours per week on their phones. Construct a 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones.
CI = (73.98%, 75.54%)
CI = (74.36%, 75.64%)
CI = (73.23%, 75.01%)
CI = (74.01%, 75.92%)
Using the z-distribution, as we are working with a proportion, it is found that the 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones is given by:
CI = (74.36%, 75.64%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, the parameters are:
\(n = 6000, \pi = \frac{4500}{6000} = 0.75, z = 1.15\)
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7436\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7564\)
Using percentages, the interval is given by:
CI = (74.36%, 75.64%).
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explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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Write each rate as a fraction in simplest form:
270 Kilometers in 6 hours
The given rate written as a fraction in simplest form is 45 kilometers/hour
Writing a rate as a fraction in simplest formFrom the question, we are to write the given rate in the simplest form.
From the given information,
The given rate is
270 kilometers in 6 hours
This can be written as
270 kilometers per 6 hours
Now, we will write the expression as a fraction
270 kilometers / 6 hours
= 270/6 kilometers/hour
= 45 kilometers/hour
Hence, the rate is 45 kilometers/hour
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