Answer:
f(-7)= -21
f(13)= 99
Step-by-step explanation:
Find f(-7) and f(13) using this equation f(x)=3(2x+7).
To find f(-7) plug in -7 into all the x values in the equation.
f(-7)=3(2(-7)+7)
Multiply 2 and -7.
f(-7)=3(-14+7)
Add -14 and 7.
f(-7)=3(-7)=-21
For f(13) plug in 13 to all the x values.
f(13)=3(2(13)+7)
Multiply 2 and 13.
f(13)=3(26+7)
Add 26 and 7.
f(13)=3(33)=99
Hope this helps!
If not, I am sorry.
The sum of 12 and a certain number is equal to the product of 3 and the number
Answer:
Read the explanation!
Step-by-step explanation:
Let the "certain number" be \(x\).
(\(*\) is a symbol for multiplication).
Create a few equations and expressions:
The sum of 12 and a certain number: \(12 + x\)
The product of 3 and the number: \(3 *x = 3x\)
The sum of 12 and a certain number is equal to the product of 3 and the number:
\(12 + x\) = \(3x\)
Solve!
12=3x-x
12=2x
x=6
Which is the graph of f (x) = three-halves (one-third) Superscript x?
Answer:
Please see the attached file.
Step-by-step explanation:
Create another line perpendicular to AB passing through C on AB. Measure the angle at the intersection to verify your result. Take a screenshot of your work, and paste it below.
Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.
Define perpendicular.Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).
Given,
Create another line perpendicular to AB passing through C on AB..
Line passing through AB is perpendicular.
Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.
A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.
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what are the coordinates of the image of an triangle a b c of a dilation of center (0,0) and a scale factor 1/2
The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.
Let's suppose that the coordinates of the vertices of the original triangle ABC are:
A = (x₁, y₁)
B = (x₂, y₂)
C = (x₃, y₃)
Then, the coordinates of the image of A, B, and C after the dilation are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:
A' = (1/2 * x₁, 1/2 * y₁)
B' = (1/2 * x₂, 1/2 * y₂)
C' = (1/2 * x₃, 1/2 * y₃)
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(70 x 10^-4) x (60 x 10^6) =
Answer:
Step-by-step explanation:
(70 x 10^-4) x (60 x 10^6) = (70 x (\(\frac{1}{10}\) x \(\frac{1}{10}\) x \(\frac{1}{10}\) x \(\frac{1}{10}\))) x ( 60 x 1000000)
= 70 x \(\frac{1}{10000}\) x 60000000 = 420000
Answer:
(70x10^-4) x (60 x 10^6) = 420000
so the answer would be
420000
P=9500 T=3years R=1.5% find the Simple interest
Answer:
427.5
Step-by-step explanation:
To find the Simple Intrest you must multiply the Rate times the Time times the Amount. So you can see these three are given:
\(9500*3*0.015=427.5\)
Simple Intrest Formula:
\(I = PRT\)
Answer:
The simple interest is Rs.427.5.
Step-by-step explanation:
Given :
Principle (P) = Rs.9500Rate (R) = 1.5%Time (T) = 3 yearsTo Find :
Simple interest (S.I)Using Formula :
\({\star{\small{\underline{\boxed{\sf{\red{S.I = \dfrac{PRT}{100}}}}}}}}\)
S.I = Simple Interest P = Principle R = Rate T = TimeSolution :
Substituting the values in the formula to find Simple Interest :
\({\dashrightarrow{\small{\sf{S.I = \dfrac{PRT}{100}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{9500 \times 1.5 \times 3}{100}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{9500 \times 15 \times 3}{100 \times 10}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{95\cancel{00}\times 15 \times 3}{1\cancel{00} \times 10}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{95\times 15 \times 3}{1\times 10}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{95\times 45}{ 10}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = \dfrac{4275}{ 10}}}}}\)
\({\dashrightarrow{\small{\sf{S.I = 427.5}}}}\)
\({\star{\small{\underline{\boxed{\sf{\pink{S.I = Rs.427.5}}}}}}}\)
Hence, the simple interest is Rs.427.5.
\(\rule{300}{1.5}\)
a manufacturing production line breaks down two times a week on average. what is the probability that the interarrival times between breakdown will be less than 2 days?
The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
We need to make some assumptions in order to calculate the probability that the time intervals between manufacturing production line breakdowns will be shorter than two days. Assume that the intervals between breakdowns have an exponential distribution with a mean of 3.5 days (1/2 times per week).
The probability that an interarrival time is fewer than two days can be calculated using the exponential distribution formula as follows:
P(X < 2) = 1 - e(-2/3.5)
where "X" stands for the duration in between breakdowns.
When we condense the expression, we get:
P(X < 2) = 0.553
Therefore, The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
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university of texas students were fitted with belt-worn tape recorders for up to four days so that researchers could sample their daily activities. the researchers employed a scientific method known as
The researchers employed a scientific method known as Ethnography.
Ethnography to study the recorded data. Ethnography is a method of research that involves the systematic study of people and cultures, often through the use of participant observation and the collection of detailed field notes. In this case, the researchers used the recordings to gain an understanding of the student's daily activities and how they were affected by their environment.
The researcher also often conducts in-depth interviews, focus groups, or surveys with group members to comprehensively understand their perspectives and experiences.
Ethnography can be applied in various fields, including anthropology, sociology, education, and business. It is commonly used to study communities, organizations, and other social groups.
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how many poker hands consist of all face cards? (there are 12 face cards per deck, 52 cards in total per deck, and a poker hand consists of 5 cards) combinations
There are 792 poker hands consisting of all face cards.
To determine the number of poker hands consisting of all face cards, we need to consider the number of ways we can select 5 face cards from the 12 available face cards.
Since we are selecting a specific number of items from a larger set without considering the order, we can use combinations to calculate the number of poker hands.
The number of combinations of selecting k items from a set of n items is given by the formula:
C(n, k) = n! / (k!(n-k)!)
In this case, we want to select 5 face cards from the set of 12 face cards, so we can calculate:
C(12, 5) = 12! / (5!(12-5)!)
C(12, 5) = 12! / (5! * 7!)
Calculating the factorial terms:
12! = 12 * 11 * 10 * 9 * 8 * 7!
5! = 5 * 4 * 3 * 2 * 1
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1
Plugging in the values:
C(12, 5) = (12 * 11 * 10 * 9 * 8 * 7!) / (5 * 4 * 3 * 2 * 1 * 7!)
Simplifying the expression:
C(12, 5) = (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1)
C(12, 5) = 792
Therefore, there are 792 poker hands consisting of all face cards.
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given that x=2,find the value of y and z for the simultaneous equation x+y-z=1
Answer:
y=z-1, z=y=1.
Step-by-step explanation:
As x=2
So,
x+y-z=1
2+y-z=1
y-z=-1
y=z-1, z=y+1
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (\(\sigma\)) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
\(n=(\dfrac{z^*\sigma}{E})^2\), z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, \(\sigma\) = 8.265, E = 1
So, \(n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]\)
Hence, the number of first-year residents she must survey to be 95% confident= 263
The distance from Charlotte, North Carolina, to Knoxville, Tennessee, is
2.31 × 10 miles. The distance from Charlotte, North Carolina, to El Paso,
Texas, is about 7 times that distance. What is the approximate distance
from Charlotte to El Paso?
A. 1.62 × 10 miles
B. 9.31 × 10 miles
C. 1.62 × 10 miles
D. 9.31 × 10 miles
The approximate distance from Charlotte to El Paso is 1. 62 × 10 miles . Options A and C
How to determine the distanceFrom the information given, we have that;
Distance from Charlotte, North Carolina, to Knoxville, Tennessee, is 2.31 × 10 milesDistance from Charlotte, North Carolina, to El Paso, Texas, is about 7 times that distanceTo determine the distance from Charlotte to El Pasco, we have the expression
= 7 × distance from Charlotte to Knoxville
Substitute the value
= 7 × 2.31 × 10 miles
= 1. 62 × 10 miles
Thus, the approximate distance from Charlotte to El Paso is 1. 62 × 10 miles . Options A and C
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A store that sells skis buys them from a manufactureer at a wholesale price of $57. The store's markup rate is 60%
A) The price that the store charges its customers for the skis is; $91.20
B) The percent of the original price that is the final price is; 160%
C) The percent INCREASE from the original price to the final price is; 60%
How to find the percentage increase in price?The Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.
We are given;
Wholesale price = $57
Markup rate = 60%
From the above information given, the amount of markup will be:
Amount of mark up = 60% × $57
= 0.6 × $57
= $34.20
Therefore, the new price will be:
= $57 + $34.20
= $91.20
In conclusion, the percentage of the original price will be 160% and the percentage increase is 60%.
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Complete question is;
A store that sells skis buys them from a manufacturer at a wholesale price of $57. The store's markup rate is 60%
A. What price does the store charge its customers for the skis?
B. What percent of the original price is the final price?
C. What is the percent INCREASE from the original price to the final price?
There are three consecutive positive even integers such the product of the first and the third is 8 more than 4
times the second. Predict the sum of the three even positive integers
The sum of the three even positive integers is 18.
What is a positive integers?A whole number that is greater than zero is what is meant by the term "positive integer." All counting numbers are included in the set of positive integers (that is, the natural numbers).
A set (collection of objects) whose components are numbers is known as a number set. All whole numbers on the number line to the right of zero are included in the set of positive integers. The Z, the superscript asterisk (*), and the subscript plus sign (+) all stand for the set of all positive numbers.
The Z was chosen because it derives from the German word for numbers and signifies integers in general (positive, negative, and zero) (Zahlen). The plus sign indicates that negative numbers are eliminated, while the asterisk indicates that zero is excluded from the set of integers.
here it is given in the question that,
the product of the first and the third is 8 more than 4 times the second,
then Let x,x+2,x+4
Product of 1st nd 2nd= x*(x+4)
Therefore,
x*(x+4)= 4(x+2)+8
x^2+4x= 4x+8+8
x^2=16
x=4
Three consecutive positive integers is 4,6,8
Sum of three consecutive integers=4+6+8=18
Hence, The sum of the three even positive integers is 18.
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A large pizza costs $10. Each topping costs an additional $2. Let x represents the number of toppings and y represents the total cost. What the equation for the relationship?
Answer:
y=2x+10
Step-by-step explanation:
since we don't know how many toppings they're getting, the x is there to represent the number of toppings. The $10 will stay the same because it's the base amount, and the y is the base amount plus the number of toppings.
Sorry if that's confusing, hope this helps :)
Xavier fills a rectangular prism with 12-centimeter cubes. The base of the prism measures 5 centimeters by 3 centimeters, and the height of the prism is 6 centimeters.
Which statement is TRUE?
A: Xavier will use 90 cubes to fill the prism
B: Xavier will use 60 cubes on the bottom layer
C: It will take six layers of cubes to fill the prism
D: The prism will have a perimeter of 15 centimeters around the base
Answer:
I tried A.
Step-by-step explanation:
It's all like a fraction & multiplication type answer im if wrong correct me!
Answer:
i feel like it would be B
Step-by-step explanation:
Hopefully this helps!!!
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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If the length of one side of a square is 12. 0 m , what is the perimeter of the square?.
Answer:
48.0 m
Step-by-step explanation:
12.0*4 = 48.0m
domain and range of 4/x-3
The domain and range of the function f(x) = 4/x-3 are ( -∞,3 ) U ( 3,∞ ) and ( -∞,0 ) U ( 8,∞ ) respectively.
What is the domain and range of f(x) = 4/x-3 ?The domain is simplify the portion of the x-axis that a graph covers while range is the portion of the y-axis that the graph covers.
Given the function in the question;
f(x) = 4/x-3
To find the domain, set the denominator in the function equal to zero and find where the expression is undefined.
x - 3 = 0
Add 3 to both sides
x - 3 + 3 = 0 + 3
x = 0 + 3
x = 3
Hence, the domain is all values of x that makes the expression defined.
{ x|x ≠ 3 }
( -∞,3 ) U ( 3,∞ )
Range is the set of all valid y values, from the graph.
{ y|y ≠ 0 }
( -∞,0 ) U ( 8,∞ ).
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If you pay a $20 subscription fee for a magazine, you will pay a discounted rate of $4 per issue. You decide to become a subscriber and at this point you have paid a total of $84. Write an equation that models the description above. How many issues have you received so far?
Answer:
$18
Step-by-step explanation:
12*4=48
48-30=18
I hope this helps!
Charlie deposits $7000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 6 years?
Line m passes through point (5,- 8) and has a slope - 3. What is the equation for the line point slope form
Answer:
\(y + 8 = -3(x-5)\)
Step-by-step explanation:
Point Slope form is:
\(y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\text{ m - slope}\\(x_1,y_1) \text{ - point}\\\rule{150}{0.5}\)
We are given the point (5, -8) and the slope of -3.
\(y-y_1=m(x-x_1)\rightarrow y - (-8) - -3(x-5)\rightarrow \boxed{y+8=-3(x-5)}\)
Tina left for school at 8:35 a.m. and she got back home at 3:45 p.m. How long was
she gone? (SHOW YOUR WORK!! BEST ANSWER GETS BRAINLIEST AND THANKS) *12 points*
Answer:
430 minutes or 7 hours and 10 minutes
Step-by-step explanation:
From 8:35 am to 9 am is 25 minutes. There are 60 minutes in an hour and 9 am to 3 pm is 6 hours. 3:00 to 3:45 pm is an additional 45 minutes.
60 minutes x 6 hours = 360 minutes
360 + 25 + 45 = 430 minutes
Answer:
7 hours with 10 minutes
Step-by-step explanation:
First, find how much minutes it takes to get to 9 a.m, which is 25 minutes.
Then, count up to 3 p.m, which is 6 hours.
Then, add the 45 minutes to 25, which will give you 70, but since you have more than 60 minutes, convert those 60 minutes to an hour adding that up to 7 hours and ten minutes.
if x²+y²=34 and xy=7.5,find the value of 5(x-y)²
Answer:
It is given that,
x²+y² = 34 ----(1)
xy = 10½ = 21/2 ---(2)
Value of 2(x+y)²+(x-y)²
= (x+y)² + [(x+y)²+(x-y)²]
= x²+y²+2xy + 2(x²+y²)
= 34 + 2×(21/2)+2×34
= 34 + 21 + 68
= 123
1.502 x 10 of the power of 6 ???
Answer:
1,502,000
Step-by-step explanation:
10^6 is 1,000,000
and 1,000,000 x 1.502
= 1,502,000
Hope this helped! Have a nice day!
PLease give brainliest when possible!
:3
two letters weigh 90g together. one letter weighs twice as much as the other. what is the weight of the heavier letter?
Answer:
60g
Step-by-step explanation:
60/2=30
60+30=90
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= \(x^3}\)
Then,
\(x^{3}=1000\\ x=\sqrt[3]{1000}\)
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
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Suppose that a and b are nonzero vectors.
a) Under what circumstances is compa b=compb a
b) Under what circumstances is proja b=proj b a
a) The vectors a and b are collinear when compa b=compb a. This means that they have the same direction, so that they're pointing in the same direction or opposite directions. In other words, if the angle between them is 0° or 180°, then they are collinear.
b) The vectors a and b are orthogonal when proja b=proj b a. This means that they are perpendicular to each other, so that the angle between them is 90°. Furthermore, it means that the projection of one vector onto the other is equal to zero.
This is because the projection of a vector onto itself is equal to the magnitude of the vector, while the projection of a vector onto a vector orthogonal to it is equal to zero.
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At the Planetarium, tickets cost $10 for adults and $5.50 for kids under 12. How
many total tickets would someone get if they purchased 8 adult tickets and 19 kids
tickets? How many total tickets would someone get if they purchased a adult tickets
and k kids tickets?
Answer:
I do not understand 1234
Step-by-step explanation:
Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
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