f(x) = 3x – 2, g(x) = 7 – x2.
3f(1) - 49(-2)
Substitute the given value into the function and evaluate.
101
The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function,
f(x) = 3x – 2
Now,
f(1) = 3(1) - 2 = 1
So,
3f(1) - 49(-2) = 3×1 - 49(-2)
⇒ 3 + 98 = 101
Hence "The value of 3f(1) - 49(-2) for the given function f(x) = 3x – 2 will be 101".
For more about the function,
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A school district's superintendent wants to administer a test of life skills to a sample of students. The superintendent has ample time and resources to conduct the study, as well as access to detailed information about all students' addresses, courses, grades, and attendance. Which of the following would be the worst sampling method for the superintendent to use?
-Cluster Sampling
-Convenience Sampling
-Stratified Sampling
-Systematic Sampling
Answer:
-Convenience Sampling
Step-by-step explanation:
Convenience Sampling is a sampling method that is employed simply because the samples are easy to reach or access. It is a non-probability system of sampling and not a very strong method of sampling. For a serious research such as the one being conducted by the Superintendent, who has ample time to perform the research, this is not a very good sampling method. A Convenience style of research would mean that he can just walk into a cafeteria with students and administer the test to them.
Since he has detailed information of the students, he should choose any of the other mentioned sampling techniques in the options provided to randomly select the subjects. This would help to prevent bias, and enable him to make generalizations with the result of the research.
Solve the equation
36 +x=20
Answer:
-16 is the answer because u cant add to have a number lower than the one in equation
Consider the following Excel regression of perceived sound quality as a function of price for 27 stereo speakers. Regression Statistics R Square 0.01104 Standard Error 4.02545 Observations 27 Statistic Coefficients Std Error t Stat P-value Lower 95% Upper 95% Intercept 88.4902 1.67814 52.731 0.0000 85.0340 91.9464 Price –0.00239 0.00453 –0.528 0.6019 –0.01172 0.00693 Picture Click here for the Excel Data File(a) Is the coefficient of Price significantly different from zero at α = .05?YesNo(b) Calculate the correlation coefficient. At α = .05, does the correlation differ from zero? (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.) r tcalc t.025 ± Since tcalc (Click to select)>< t.025, we (Click to select)rejectfail to reject the hypothesis of no correlation.(c) Given these results, is the difference in quality associated with a higher price likely to be apparent to an average listener?YesNo
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Regression
Statistics
R Square 0.01104
Standard Error 4.02545
Observations 27
Stat - - - - Coef - - Std Error - - t-Stat - - P-value
Int. - - 88.4902 - 1.67814 - - 52.731 - - 0.0000
Price (–0.00239) - 0.00453 (–0.528) - - 0.6019
Stat - - - - lower 95% - - - upper 95%
Int. - - - - - 85.0340 - - - - - - 91.9464
Price - - (–0.01172) - - - - - - 0.00693
(A) No, At α = .05, the Coefficient of price is not significantly different from zero, because :
The p-value (0.6019) obtained is greater than 0.05, Hence we fail to reject the null hypothesis.
B) the correlation Coefficient (r) :
Since ; r^2 = 0.01104
r = √0.01104
r = 0.1050714
The p-value obtained at α = .05 for r value of 0.1051 using the online p-value calculator is .602, this shows that correlation does not differ from 0.
Using :
r(√n-2) / √1 - r^2
0.1051(√27-2) / √1 - 0.01104
0.5255 / 0.9944646
= 0.5284250
For a 2 tailed test: α = .025
t0. 025 = 2.060 and - 2.060
Obtained t value is less than the critical, hence the null hypothesis stands
(5a^3-2a^2)+(6a^3+9a^2+8a)
Answer:
11a^3 + 7a^2 + 8a
Step-by-step explanation:
( 5a^3 - 2a^2 ) + ( 6a^3 + 9a^2 + 8a )
= 5a^3 + 6a^3 + -2a^2 + 9a^2 + 8a
= 11a^3 + 7a^2 + 8a
The distance around a figure is called _____
The distance around a figure is the perimeter, although around a circle is the perimeter is actually called the circumference.
Answer:
PerimeterStep-by-step explanation:
A supermarket has 148 shrubs on their property, but they are having trouble mowing grass so they need to pay to have cut down shrubs each year until the property has less than 30 shrubs. If they can pay to have only three shrubs cut down this year, but six shrubs cut down every year after that, in how many years will they have less than 30 shrubs on their property?
Answer: 21 years
Step-by-step explanation: After the first year, it’s down by 3 so 145. For the next 20 years, you go down 6 shrubs a year. At year 20 it will be 31 shrubs so at year 21 it will be at 25 shrubs.
Answer:
21 years.
Step-by-step explanation:
All equations are written in bold so you can find them easier.The first thing we do is subtract the 3 shrubs from the first year from the total 148.
148 - 3 = 145
We then take 29 from 145, as the supermarket wants less than 30 shrubs on their property, so the maximum amount they want to keep is actually 29.
145 - 29 = 116
The supermarket can pay to have 6 shrubs cut down every year, excluding the first, so we need to do then is divide 116 by 6.
116 ÷ 6 = 19.333.
Because that equation leaves us with a decimal, we have to round up to get a whole number because the answer has to be in years, not years and months.
19.333 rounded up is 20.
So that's 20 years of paying for 6/per year. We have to add on the one year they only payed for 3 shrubs to be cut down, making the answer;
21 years.We can further confirm we have the right answer by doing;
6 × 20 = 120
145 - 120 = 25
Because we're going down in 6's, we know that 20 is the lowest amount of years it would take to get less than 30 shrubs, because 25 + 6 = 31.
is 2 square root of 5 plus three rational or irrational
Answer:
It is irrational
Step-by-step explanation:
It is irrational.
Find the rate of change.
Answer:
It add up by 6.
Step-by-step explanation:
6 plus 6 is 12 plus another is 18 and it keeps going.
Answer:
time x 6 = your distance
Step-by-step explanation:
Time x 6 = distance
EXample:
2 x 6 = 12
Hope this helps!
Hannah's car used of a tank of gas to
cross Arizona. The gas tank on her car hold
15 42 gallons. ABOUT how many gallons did
it take to cross Arizona? (Round to the
nearest whole number)
Answer:
There are 30 halves in 15, plus the extra half
Step-by-step explanation:
= 31 / 2; 31 / 2 times 3 / 4 = 93 / 8 = your answer. Hope this helps
Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?
Answer:
$1,425,000
Step-by-step explanation:
1 (original output) - .05 (decrease in output) = .95 (2019 output compared to 2009)
1,500,000 X .95 = 1,425,000
I hope this helps!
-TheBusinessMan
Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 every month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?
Answer: In five months,she will save the same money which is $250.
Step-by-step explanation:
Using the first statement we can generate the function y=10x + 200 and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.
y = 10x + 200
y = 30x + 100
Substitute the value of x in the first equation into the second equation.
30x + 100= 10x + 200 now solve for x
-100 -100
30x = 10x + 100
-10x -10x
20x = 100
x= 5
This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for y.
y = 10(5) + 200
y = 50 + 200
y = 250
She will save $250 with either option.
Find the equation of a line containing the given points (4,3) and (8,1). Write the equation in slope-intercept form.
Answer:
y= -1/2x +5
Step-by-step explanation:
Why Is 3 times 1/10 less than 3 times 10?k
3 times 1/10 is equal to 3/10, whereas 3 times 10 is equal to 30.
3/ 10 is less than 30.
We can write this as 3 * 1/10 compared to 3 * 10
If we divide both sides by 3, we then compare 1/10 and 10.
1/10 is less than 10, so 3 times 1/10 is less than 3 times 10.
We can rewrite 1/10 = 0.1, so 3 * 0.1 is 0.3 whereas 3 * 10 = 30.
Answer:
See Explanation
Step-by-step explanation:
When you multiply 3 * 1/10, 3 goes in the numerator so you get 3/10 which is 0.3
On the other hand 3*10 is 30.
0.3 is less than 30 that's why.
Here's the thing you had one pizza slice (equal to 1/10), and your parents gave you three times more the pizza slice. You will have three slices of pizza (each slice being 1/10) not 30 pizzas.
Hope that makes sense. I can explain again if you need me to!
solve for x if 10/4x-3 = 2
Answer:
We need to solve this equation:
[tex]\frac{10}{4x}-3=2[/tex]
We pass -3 to the right summing:
[tex]\frac{10}{4x} = 2 + 3[/tex]
[tex]\frac{10}{4x}=5[/tex]
We pass the 4x that is dividing to the right multiplying:
[tex]10 = 5*4x[/tex]
[tex]10=20x[/tex]
We pass the 20 of the right to the left dividing:
[tex]\frac{10}{20}=x[/tex]
[tex]x=\frac{1}{2}[/tex]
Now, we know [tex]x=\frac{1}{2}[/tex], so we can verify:
[tex]\frac{10}{4*\frac{1}{2}}-3 = 2[/tex]
[tex]\frac{10}{2}-3=2[/tex]
[tex]5 - 3 = 2[/tex] TRUE
Answer:
Kindly see attached picture
hope it helped you:)
There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape? StartFraction 1 over 100 EndFraction StartFraction 1 over 50 EndFraction StartFraction 1 over 45 EndFraction StartFraction 1 over 25 EndFraction
There are 10 total juice boxes with 2 grape ones.
Picking the first grape would be 2/10 which can reduce to 1/5
Then there would be 9 juice boxes left with 1 grape.
Picking the second grape would be 1/9
Picking both would be 1/5 x 1/9 = 1/45
Answer:
1/45
Step-by-step explanation:
i think it would possibly be d because there are 3 of the apple and 2 of the grape and 4 for the tropical one so it least has a chance... im sorry if its wrong i just started i hope i helped....
plz give me brainlist
¿Para qué sirve saber estimar la capacidad de un recipiente utilizando el litro y el mililitro como unidades de medida?
Answer:
Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.
Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.
Step-by-step explanation:
Sirve la estimación de la capacidad de un recipiente dado en función de otros recipientes con capacidades de referencia, en cuyos casos corresponden al litro y el mililitro, respectivamente. Entonces, la capacidad total es aproximadamente la suma de las cantidades de adiciones de cada recipiente de referencia. La fórmula de estimación de capacidad del recipiente es:
[tex]V_{tot} \approx n_{l}\cdot (1000\,mL)+n_{L}\cdot (1\,mL)[/tex]
Donde:
[tex]V_{tot}[/tex] - Volumen total del recipiente, medido en mililitros.
[tex]n_{l}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.
[tex]n_{L}[/tex] - Cantidad de adiciones del recipiente con capacidad de un mililitro, adimensional.
Estas unidades de capacidad son de uso frecuente en la manipulación de líquidos, así como en la estimación de la masa contenida del líquido dentro del recipiente si se conoce su densidad.
Además, permite clasificar hasta cuanto volumen y cuanta masa de un líquido determinado puede portar ese recipiente.
In the figure above, the radius of the inscribed circle is inches (in.). What is the perimeter of square CABD?
Answer:
perimeter of the square is 32 inches
which agrees with the last answer in your list of options.
Step-by-step explanation:
Notice that the radius of the circle is exactly half of the side of the square, therefore, each side of the square must be 8 inches long.
Then, the perimeter of the square (addition of its four sides) is :
4 x 8 inches = 32 inches
Answer:
Step-by-step explanation:
32
How do you interpret expressions that represent a quantity in terms of its context?
Use scientific notation to find the product of 20.5 × 10^7 and 0.000036.
73.8 × 10 2
7.38 × 10 2
5.69 × 10 12
7.38 × 10 3
Write the opposite of the number. -4/5 (The four is not negative, the whole fraction is)
Answer:
4/5.
Step-by-step explanation:
The opposite of -4/5 is 4/5.
Answer:
4/5
Step-by-step explanation:
The opposite of a number is that number with the opposite sign.
The opposite of a positive number is a negative number. The opposite of a negative number is a positive number. The opposite of zero is zero since -0 means 0.
Examples:
opposite of -5 is 5
opposite of 1/2 is -1/2
opposite of 28 is -28
opposite of -sqrt(5) is sqrt(5)
Your problem:
opposite of -4/5 is 4/5
Find the distance. V(X2-X.)2+(2-Y.)?
(1,2)(5,4) (-3,5)(2,3)
Answer: If you divide a trinomial by a monomial the result is a bionomial
A. True
B. False
Step-by-step explanation: tell me the correct answer and I'll tell you
Answer:
The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).
Example
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates: HOPES THIS HELPS
Step-by-step explanation:
Is it possible for one ray to be shorter in distance than another ray
Answer:
please mark my answer brainliest
Step-by-step explanation:
no...because it extends to infinity from one side
Which statement accurately describes lines of laditude also called parallels on a map? A. They measure distance east and west of the equator B. They measure the distance east and west of the prime meridian C. They measure distance north and south of the prime meridian D. They measure distance north and south of the equator
Answer:
A
Step-by-step explanation:
they measure the distance east to west of the equator
Select the statements that are true based on the following given information. D = {x | x is a whole number} E = {x | x is a perfect square < 36} F = {x | x is an even number between 20 and 30} a) The expression D ∩ E is {1, 4, 9, 16}. b) The expression D ∩ F is {12, 14, 16, 18}. c) D ∪ (E ∩ F) is {all whole numbers}. d) (E ∩ F) is the empty set. e) The expression D ∩ (E U F) is 25
==========================================================
Explanation:
Let's write the roster notation of each set
D = {0, 1, 2, 3, ...} the dots indicate the pattern goes on forever
E = {0, 1, 4, 9, 16, 25} = list of perfect squares smaller than 36
F = {20, 22, 24, 26, 28, 30} = even numbers between 20 and 30
----------------
If we intersect sets D and E, we're looking for what numbers are in both sets at the same time. Therefore, D ∩ E = {0, 1, 4, 9, 16, 25} which is the exact same as set E. This is because all of set E is inside of set D. We say that set E is a subset of set D. So, D ∩ E = E.
Choice A is very close to being true. The problem is that 25 is missing from the set {1,4,9,16}. So this is why choice A is false.
----------------
Now let's intersect sets D and F. The numbers they have in common are {20, 22, 24, 26, 28, 30} which is exactly what set F is. So set F is a subset of set D. We can write D ∩ F = F in much the same way we can say D ∩ E = E.
D ∩ F = {12,14,16,18} is not true. A number like 12 is not between 20 and 30, so it cannot be in set F.
Choice B is false so we cross it off the list.
----------------
Choice C is true and here's why
D ∪ (E ∩ F) is the same as saying D ∪ G where G is the set of intersecting E and F together. In other words, G = E ∩ F
We don't really need to even worry about sets E, F or G. All that matters here is set D.
When we write D ∪ (E ∩ F) or D ∪ G, we're saying "a number is in set D, or it is in set G". If it is in D, then it's a whole number. Otherwise, it's in a subset of whole numbers.
Overall, D ∪ G and D ∪ (E ∩ F) form the entire set of whole numbers.
------------------
Choice D is true.
E and F have nothing in common
E = {0, 1, 4, 9, 16, 25}
F = {20, 22, 24, 26, 28, 30}
So intersecting them leads to the empty set. This is the set with nothing inside it, not even 0.
------------------
Choice F is false
These two sets below
E = {0, 1, 4, 9, 16, 25}
F = {20, 22, 24, 26, 28, 30}
union together to get
H = {0,1,4,9,16,20,22,24,25,26,28,30}
just toss all of the numbers together into one big set
Notice how each of these numbers are whole numbers, so they are part of set D. This means set H is also a subset of set D.
When we intersect sets D and H, we end up with set H. We do not simply end up with the set with 25 only inside it.
find the quotient. (-2) divided by 9
Answer:
-0.22222222222222222222222
Step-by-step explanation:
PLS HELP BEST ANSWER GETS BRAINLIEST Find the height of the triangle whose base is 1/4 inch and its area is 7/8 square inches?
Answer:
7
Step-by-step explanation:
Half the base (.25) times x = 7/8
.25x = 7/8
7/8 divided by .125 = 7
how'd I do?
I hope I got it correct
identify the perfect square that is closest . ex square 76 ; 81 ;8 ,9
Answer:
Perfect squares = 9 and 81
Step-by-step explanation:
[tex]\sqrt{76} = 2\sqrt{19} \\\sqrt{81} =9\\\sqrt{8} =2\sqrt{2} \\\sqrt{9} =3[/tex]
In a survey of 1250 shopper at a local mall, 1000 of them had a smart phone. What percent of the shopper at the mall had a smart phone?
Answer:
80 percent
Step-by-step explanation:
(1000/1250)*100 = 80
The Tigers had twice as many hits as the yanks.Let x= number of hits by yanks.Then ?= number of hits by tigers
Answer: 2x = ? is the question
A rectangular box with no top is to be built from 1728 square meters of material. Find the dimensions of such a box that will enclose the maximum volume.
Answer:
given surface area with no top as 1728
We say
V= X x Y x Z
So
yz = a(y+2z)
xz = a(x+2z)
Then using partial derivatives
xy = a(2x+2y)
xy+2xz+2yz = 1728
So
xy+2yz = xy+2xz
x=y
So
4xz = x²+ 2xz
x = 2z
4z²+4z²+4z²= 1728
z² = 432
z = 20.8m
x = y = 41.6m