Step-by-step explanation:
First box: -5 x -2 + 1 = 11
Second box: -5 x 0 + 1 = 1
Third box: -5 x 2 + 1 = -9
Fourth box: -5 x 4 + 1 = -19
Answer:
11, 1, -9, -19
Step-by-step explanation:
Use the equation to use x to solve for the Y's.
y = -5(-2) + 1
y = 11
put the 11 into the box in the Y column next to -2
solve for the next number, 0
y = -5(0) + 1
y = 1
for 2
y = -5(2) + 1
y = -9
For 4
y = -5(4) + 1
y = -19
If △EFG ≅ △NML, what are the congruent corresponding parts?
Answer:
c
Step-by-step explanation:
100% sure and correct :) ❤️
find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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Answer the following word problem. A T-Rex skeleton has height of about. 12 ft., width of about 6 ft.,
and a length of about 40 ft. Can the museum director fit a fully built T-Rex skeleton display inside a
large case that is 5 yards high, 3 yards wide and 13 yards what is the case in feet?
Answer:
the fully built T-Rex skeleton display cannot fit inside the large case
Step-by-step explanation:
compare the dimensions of the skeleton to the dimensions of the case.
Given:
T-Rex skeleton dimensions:
Height = 12 ft.
Width = 6 ft.
Length = 40 ft.
Case dimensions:
Height = 5 yards
Width = 3 yards
Length = 13 yards
To compare the dimensions, we need to convert the case dimensions from yards to feet, as the T-Rex skeleton dimensions are given in feet.
1 yard = 3 feet
Case dimensions in feet:
Height = 5 yards * 3 feet/yard = 15 feet
Width = 3 yards * 3 feet/yard = 9 feet
Length = 13 yards * 3 feet/yard = 39 feet
Now we can compare the dimensions of the T-Rex skeleton and the case:
T-Rex skeleton:
Height = 12 ft.
Width = 6 ft.
Length = 40 ft.
Case:
Height = 15 ft.
Width = 9 ft.
Length = 39 ft.
Based on the dimensions, we can see that the height of the T-Rex skeleton (12 ft.) is smaller than the height of the case (15 ft.). Similarly, the width of the T-Rex skeleton (6 ft.) is smaller than the width of the case (9 ft.). However, the length of the T-Rex skeleton (40 ft.) is larger than the length of the case (39 ft.).
Therefore, the fully built T-Rex skeleton display cannot fit inside the large case because the length of the skeleton exceeds the length of the case.
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answer:
\( RC = 40 \)
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
\( PC = RC = QC \)
Let's find the value of x using:
\( PC = RC \)
\( 3x + 7 = 5x - 15 \) (substitution)
Collect like terms
\( 3x - 5x = -7 - 15 \)
\( -2x = -22 \)
Divide both sides by -2
\( x = \frac{-22}{-2} \)
\( x = 11 \)
Find the measure of RC
\( RC = 5x - 15 \)
substitute x = 11 into the equation
\( RC = 5(11) - 15 \)
\( RC = 55 - 15 \)
\( RC = 40 \)
Answer:
40
Step-by-step explanation:
Here are two rectangles.
The table below represents some values for x and y
such that the areas of the rectangles sum to 30 cm2
Complete the table below.
x
3 cm
6
2 cm
9
x cm
y cm
9
15
INTL 9 5:29
See the original question attached
Step-by-step explanation:
Given two rectangle with sides 3 by x and 2 by y.
Sum of the areas is 30 cm².
Find the missing values.
x = 6 ⇒ 3*6 + 2y = 30 ⇒ 2y = 30 - 18 ⇒ 2y = 12 ⇒ y = 2 cmy = 9 ⇒ 3x + 2*9 = 30 ⇒ 3x = 30 - 18 ⇒ 3x = 12 ⇒ x = 4 cmx = 9 ⇒ 3*9 + 2y = 30 ⇒ 2y = 30 - 27 ⇒ 2y = 3 ⇒ y = 1.5 cmy = 15 ⇒ 3x + 2*15 = 30 ⇒ 3x = 30 - 30 ⇒ 3x = 0 ⇒ x = 0 cmAnswer:
Step-by-step explanation:
y = 6 cm
x = 4 cm
y = 1.5 cm
x = 0 cm
Roy makes $10.15 each time he mows
his neighbor's lawn. In April he mowed
the lawn 2 times. In May he mowed the
lawn 3 times. In June he mowed the
lawn 1 time. How much money did Roy
make in all?
$[?]
Answer:
$60.90
Step-by-step explanation:
Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?
April: 2 times
May: 3 times
June: 1 time
2 + 3 + 1 = 6 times
6 time * 10.15 each time
= $60.90
Answer:
$60.90
Step-by-step explanation:
Add the number of times Roy mowed in total
April: 2
May: 3
June: 1
2 + 3 + 1 = 6
Multiply that amount by the $10.15 he makes each time he mows
10.15(6) = 60.9
= $60.90NO LINKS!! Each graph represents a relation. Determine the domain and range. 2ii
Answer:
7) Domain: (-∞, ∞)
Range: [-1, ∞)
8) Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 5From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the minimum y-value is y = -1.
The end behavior of the relation is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the range of the relation is restricted: [-1, ∞)
Question 6From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
The end behavior of the function is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
When writing expressions for complex numbers, what does i represent?
Answer:
see below
Step-by-step explanation:
i is the imaginary number and it represents the square root of -1
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
D
3
20 of 21
If the pointer cannot land on a line, how many different outcomes of a number and a color are possible?
v
Spinner B
Yellow
Brown
12 13
Red
Answer:
Step-by-step explanation:
Regs.
Spinner A and Spinner B below are each to be spun once.
0 18
O 12
6
Spinner A
5
2
4
00
(06.01)Four graphs are shown below:
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answer:
$50
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST! Asap
Answer:
n=8
Step-by-step explanation:
It’s a special 30-60-90 triangle, so n=8.
Answer:
54 Ok?
Step-by-step explanation: Thats what i got
2x – 2 < -4 or 2x – 2 > 20
Answer:
2x – 2 < -4 or 2x – 2 > 20 equals
Step-by-step explanation:
x < − 1 or x > 11
I hope this helps ya
hi ........... :) ...
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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If the the price of a pair of shoes is 35$ before tax and the tax is 20% what will the final price of the shoes be
Answer:
$42
Step-by-step explanation:
You want the price with tax of a $35 pair of shoes subject to a 20% tax.
Price with taxThe tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:
final price = price + price × tax rate
final price = price × (1 + tax rate) = $35 × 1.20 = $42
The final price of the shoes is $42.
Answer:
42$
Step-by-step explanation:
tax increase will be
20% of 35$
= 20/100 × 35
= 7$
Final price = Old price + Tax
= 35 + 7
= 42$
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
James is learning to type. At the end of the first month, James could type 9 words per minute. At the end of the second month of practice, James could type 18 words per minute. After another month of practice, James could type 27 words per minute. James continued to practice. At the end of five months, how many words could James type per minute?
Answer: The answer is 36. Hope you have a nice day.
There you go
Find a solution to the linear equation 13x + y = 26 by filling in the boxes with a valid value of x and y.
Answer:
MOM
Step-by-step explanation:
The solution to the equation are y = 26 - 13x and x = 2 - y/13
How to determine the solution?The equation is given as:
13x + y = 26
To do this, we solve for x and we solve for y
We have:
13x + y = 26
Subtract 13x from both sides
y = 26 - 13x
Also, we have:
13x + y = 26
Subtract y from both sides
13x = 26 - y
Divide through by 13
x = 2 - y/13
Hence, the solution to the equation are y = 26 - 13x and x = 2 - y/13
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HELP IM IN K12 AND THERS MORE OF THESE
What is the scale factor applied to Figure A toproduce Figure B.A. 9B. 6C. 12D. 3
ANSWER
D. 3
EXPLANATION
We want to find the scale factor applied from figure A to figure B.
To do that, we have to divide any of the side lengths of figure B by a corresponding side length of figure A.
Let us divide the side length of the left sides of both figures.
Therefore, the scale factor is:
\(\begin{gathered} SF=\frac{18}{6} \\ SF=3 \end{gathered}\)That is the scale factor.
Drag each tile to its equivalent measure, rounded to the nearest tenth.
Options: 19.8, 10.2, 22.7, 15.4
Measure Equivalent
4 in. _____ Cm
7 kg _____lb
6 gal _____L
65 ft _____ m
The correct matches are: 4 in. → 10.2 cm , 7 kg → 15.4 lb
6 gal → 22.7 L and 65 ft → 19.8 m.
What are conversions?Conversions refer to the process of changing a measurement from one unit to another unit that measures the same quantity.
For example, converting distance from miles to kilometers, or converting weight from pounds to kilograms.
Here are the conversions:
1 inch = 2.54 cm (approx.)
1 kg = 2.205 lb (approx.)
1 gal = 3.785 L (approx.)
1 ft = 0.3048 m (approx.)
Using these conversions, we can find the equivalent measures:
4 in. → 4 × 2.54 = 10.16 ≈ 10.2 cm
7 kg → 7 × 2.205 = 15.435 ≈ 15.4 lb
6 gal → 6 × 3.785 = 22.71 ≈ 22.7 L
65 ft → 65 × 0.3048 = 19.812 ≈ 19.8 m
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you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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Express 5√27 in the form n√3, where n is a positive integer.
Answer:
n = 15Step-by-step explanation:
See the steps below:
\(5\sqrt{27} =\)\(5\sqrt{3^2*3} =\)\(5*3\sqrt{3} =\)\(15\sqrt{3}\)The value of n is 15.
Of three angles of a triangle, one is three times the smallest and the other is five times the smallest. Find the angles
Will mark brainliest
Answer:
20, 60, 100
Step-by-step explanation:
Since the angles in a triangle add up to 180 degrees, we can change the statement by saying x+3x+5x = 180 degrees. That would mean that 9x is equal to 180, and 180/9=20. 20 times 5 is 100, and 20 times 3 is 60.
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
Chapter 7: Solving Systems of Linear Equations and Inequalities
At least two linear inequalities in the same variables constitute a system of linear inequalities. The ordered pair that is a solution to all system inequalities is the linear inequality's solution, and the linear inequality's graph is the system's solution graph.
What are inequalities and systems of equations?A set of equations with the same variables is called a system of equations. The only difference is that you are working with inequalities rather than equations in a system of inequalities. Finding the variable values that simultaneously make each inequality true is necessary to solve such a system.
What are the three ways to solve equation systems?There are three methods for addressing frameworks of straight conditions in two factors:
graphing.method of substitution.a means of elimination.To learn more about linear inequalities here
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Caleb took 24 photos at the zoo. Three-eights of his photos are of giraffes. How many of Caleb’s photos are of giraffes ?
A: 6
B: 9
C: 12
D: 18
Answer:
B: 9
Step-by-step explanation:
We know
Caleb took 24 photos at the zoo. 3/8 of his photos are of giraffes.
How many of Caleb’s photos are of giraffes?
We Take
24 x 3/8 = 9 photos
So, 9 of Caleb's photos are of giraffes.
Studies indicate that 10.5% of the US population has diabetes. A producer of medical devices is developing a test for diabetes diagnosis: a positive test suggests that a person has diabetes, a negative test suggests that a person does not have diabetes. However, medical tests can give false results: in particular, the probability that this test gives a negative result for a person who actually has diabetes is 0.05, while the probability that the test is positive for a person who in fact does not have diabetes is 0.10.1. What is the probability that the test gives a positive result for a person who is known to have diabetes? 2. What is the probability that a person has diabetes, given that the test gives a positive result?
Answer:
The answer is "0.95 and 0.5271".
Step-by-step explanation:
\(p (d) = 0.905 \\\\p( false\ negative) = 0.05\\\\p(false \ positive ) = 0.10 \\\\\)
In point a)
p ( positive diabetes )\(= 1 - 0.05 = 0.95\)
In point b)
\(p(\frac{d}{+ve}) = \frac{0.105 \times 0.95}{0.105 \times 0.95 +0.895 \times 0.10 }\)
\(=\frac{0.09975}{0.09975+0.0895}\\\\=\frac{0.09975}{0.18925}\\\\= 0.5271\)