Step-by-step explanation:
last week = 15
this week 2o%
therefore =. last WK + this WK = 15×20÷100/1
= 300÷100/1=. 3
Diana scored 3point this week
twice the square root of a number is 12
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
show that x²/√x²+4 is continuous at x=2
Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous
Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?
Step-by-step explanation:
Amount of additive in each can
= Total amount of additive / Number of cans
= (1/2 of a pint) / (3)
= 1/6 of a pint.
Noah put 1/6 of a pint of additive in each can.
which function displays the fastest growth as the x-values continue to increase?
The exponential function q(x) displays the fastest growth as the x-values continue to increase.
The correct option is D.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A table is given for the value of x.
The function m(x) shows the linear relationship.
Because it has constant first difference.
n(x) is not a function because it has 2 input values connecting to one output value.
And the function q(x) has common ratio,
0.3/0.15 = 2.
So, it is an exponential function.
So, this function will display the fastest growth.
Therefore, the function is q(x).
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Which graph shows u + v for the given vectors u and v?
Answer:
The answer is A
Step-by-step explanation:
When you move v's tail to u's head, you see that the vectors align up.
The graph shows (u + v) for the given vectors u and v will be Graph A.
What is vector ?A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
We have,
Four graphs and we have to tell which is the correct graph for (u + v).
So,
To add two vectors, add the corresponding components.
i.e. The sum of u and v vector = ( u₁ + v₁, u₂ + v₂)
i.e.
Let u = (u₁, u₂) and
v = (v₁, v₂)
Now,
(u + v) = ( u₁ + v₁, u₂ + v₂)
So,
From Graph A,
We have,
u = (1, 4) and v = (2, -2)
i.e.
u₁ = 1,
u₂ = 4,
v₁ = 2,
v₂ = -2
So,
Using the addition method of vector,
i.e.
(u + v) = ( u₁ + v₁, u₂ + v₂)
Substituting values,
(u + v) = [( 1 + 2), (4 + (-2))]
We get,
(u + v) = (3, 2)
So,
The graph A represents the correct points of (u +v).
Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.
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√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4
Answer
Step-by-step explanation: =/
Un jugador encesta con probabilidad de 0.73 Calcula la probabilidad de que al tirar 6 veces enceste:
a) al menos 4 veces
b) ninguna vez
c)todas las beces
d)dos veces
e) menos de tres veces
f) 5 o mas veces
Suppose you want to study the relationship between smoking and cancer. You assume that smoking is a cause of cancer. Studies have shown that there are many factors affecting this relationship, such as the number of cigarettes or the amount of tobacco smoked every day; the duration of smoking; the age of the smoker; dietary habits; and the amount of exercise undertaken by the individual. All of these factors may affect the extent to which smoking might cause cancer. These variables may either increase or decrease the magnitude of the relationship. Which statement is false?
a. In the above example cancer is the dependent variable.
b. In the above example cancer is an independent variable.
c. In the above example the extent of smoking is an independent variable.
d. In the above example all the variables that might affect the relationship between smoking and cancer, either positively or negatively, are extraneous or mediating/moderating variables.
Answer:
The correct answer is:
In the above example cancer is an independent variable. (b)
Step-by-step explanation:
In order to explain the choice made, let m first explain what independent and dependent variables are:
Independent variable: An independent variable is a variable that is under the direct control of the experimenter, and can be changed at will. In this example, the number of cigarettes or amount of tobacco smoked is the independent variable because it can be manipulated at will, to determine the outcome of the dependent variable.
Dependent variable: A dependent variable is a variable that the experimenter sets out to study. The independent variable is not under the direct manipulation of the experimenter but has values that come about as a result of the change of the independent variable. In this example, cancer is the dependent variable, because it is the result of the manipulation of the amount of tobacco.
Therefore, it is not true to say that cancer is the independent variable as seen in option b
Marc sold 425 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $1925. How many adult tickets and how many student tickets did Marc sell?
The graphs below have the same shape. What is the equation of the blue graph? 
Answer:
c
Step-by-step explanation:
The first term of an Ap are x, 2x +1, and 5x+1 Find
x and the sum of the
l0 terms
first
Answer:
145/2
Step-by-step explanation:
d=[2x+1-x] = [5x+1 -(2x+1)]
x+1=3x
x-3x=-1
-2x=-1
x=1/2
therefore first term is 1/2
second term is 2(1/2)+1= 2
common difference d is 2-1/2=3/2
sum of first n terms is n/2 [2a+(n-1)d] where n=10
sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]
=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2
The volume of a pyramid with a square base is given by the expression sh, where s is the length of a side of the base and his the height Find the volume of a pyramid with a square base of side length 24 feet and a height of 30 feet
Answer:
v=l×b=
l=24
h=30
v=24×30=
54
v=54.
Vitamin D is important for the metabolism of calcium and exposure to sunshine is an important source of vitamin D. A researcher wanted to determine whether osteoperosis was associated with a lack of exposure to sunshine. He selected a sample of 250 women with osteoperosis and an equal number of women without osteoperosis. The two groups were matched - in other words they were similar in terms of age, diet, occupation, and exercise levels. Histories on exposure to sunshine over the previous twenty years were obtained for all women. The total number of hours that each woman had been exposed to sunshine in the previous twenty years was estimated. The amount of exposure to sunshine was compared for the two groups.
Required:
a. Determine whether this is a controlled experiment or an observational study.
b. Identify the treatment variable.
Answer:
Vitamin D and Osteoporosis
a. This is an observational study. The researcher is trying to observe the two groups of women who suffer from osteoporosis. She did not apply any treatment on any group, as is the case with experimental researches.
b. The treatment variable is the amount of exposure to sunshine.
Step-by-step explanation:
This study is an observational research because the researcher lacks the control over the variables, especially the amount of exposure to sunshine. She is merely observing what has occurred previously. On the other hand, an experimental study will involve the application of some treatments to one group of women and then the recording of the effects. But in this case, the researcher merely recorded the effects that had occurred without applying any treatment to any group.
Theresa has $708 in her account and wishes to throw a party. She plans to include the following:
Purchase
Cost ($)
Decorations
76.92
Catering
150.66
Musicians
242.15
Refreshments
123.36
Venue
260.47
When Theresa makes the calculations, she finds that she cannot afford everything that she would like to have. What is the cheapest aspect of the party that she can eliminate to keep from overdrawing her account?
Answer:
Get rid of catering with everything u are in debt by 145.56 so get rid of catering and u r good
Step-by-step explanation:
Can someone pls help lol I rlly do need help on this :)
Answer:
a+51=90
a+51+90=180
39
Step-by-step explanation:
hope this helped :)
Hurry I need it done quickly and correctly don't comment if you don't know it
1. Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,446 trees per 0.7 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
2.Washington State University graduated a total of 16,856 students. Of all the students, only 7.0% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
3.The number of early voters for the 2020 election was 132.5% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
4.At a conference, there is a food table setup with 459 sandwiches. Of all the sandwiches, only 76 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent.
5. Which of the following is equivalent to the ratio 5?
0.2
5 to 1
1:5
1/5
Answer:
1. 1,446 trees 16,856 square miles
2. 99.99% 16,856 students were passed
3. 58,300,000 early voters in 2016 202.5% to 2020
4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys
5. 1/5 to 5 to 1 to 1:5 right? please dont report me
Negative nine is greater than or equal to the sum of two - fifths times a number and 9.
Answer:
W is either -22.5, or less than -22.5
Step-by-step explanation:
-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)
W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.
2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5
W can then be anything "lower" (on the left side) of -22.5.
W<-22.5
Please help, Dont guess :) will mark brainliest
Answer:
43 1/2Step-by-step explanation:
The formula to find the area of a triangle is multiplying base times height divided by 2.
So we have 3+3+3 (which is the base) times height. Finally we have: 9 x 11, which is 99 and now we divide it by 2. So 99/2 = 49 1/2.
Now we subtract the missing rectangle, which we can find by multiplying 3 by 2, which is 6.
So now subtract 6 from 49 1/2, and you'll get 43 1/2.
Answer:
43.5
Step-by-step explanation:
(( I will be using "*" as a multiplication sign ))
Area of rectangle = length * width = 3 * 2 = 6
Area of triangle = 1/2 bh = 1/2(11*9) = 1/2 of 99 = 99 divided by 2 = 49.5
So, since we are taking away the rectangle from the triangle, we will subtract the area of the rectangle from the triangle.
49.5 - 6 = 43.5
If you have any question please message me or comment
In the email data set in Chapter 1, the number variable de- scribed whether no number (labeled none), only one or more small numbers (small), or whether at least one big number appeared in an email (big). Of the 3,921 emails, 549 had no numbers, 2,827 had only one or more small numbers, and 545 had at least one big number. (a) Are the outcomes none, small, and big disjoint
Answer:
These outcomes are disjoint.
Step-by-step explanation:
(a) Are the outcomes none, small, and big disjoint
If they are disjoint, the sum of the total number of each has to be equals to the number of emails.
We have:
3921 emails.
549 with no numbers.
2827 with only one or more small numbers
545 had at least one big number.
549 + 2827 + 545 = 3921
Since the sum is equals to the number of emails, these outcomes are disjoint.
5,3,1,-1, common difference or common ratio
Answer:
Common
Step-by-step explanation:
Your teacher tells you that the hour hand on
an analog cl o ck will ro t ate 45 while yo u
w rite a math quiz. If the quiz starts at 9:00,
wh at time does it end? Wh at is the angle
b e t ween the starting and ending positions
of the minute hand?
P-250 ft
Find the dimensions of the rectangle
The perimeter is given.
W
3w- 15
Answer:
A = L × W A = L × W A=L×W.
A = L × W A = L × W A=L×W.
P = 2 L + 2 W P = 2L + 2W P=2L+2W.
how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?
Answer:
4 different odd integers: 25, 45, 55, 85
Step-by-step explanation:
Solve each proportion 2/r=12/18
Answer:
r = 3
Step-by-step explanation:
starting with
2 / r = 12 / 18. we cross multiply
18 * 2 = 12 * r
36 = 12 * r
and divide by 12 to isolate "r"
36 / 12 = r
Then r = 3
do not count the
individual
oranges.
count them as
groups.
Answer:
A. 5
B. 100
C. 300
What is 5% of 345? ......
Answer:
17.25
Step-by-step explanation:
5/100 x 345 = 1725/100 = 17.25
Factor out the GCF from the terms of the polynomial 2x^3 − 5x^2 + 25.
Answer:
Step-by-step explanation:
The polynomial is already factored.
Help needed with this as soon as possible
Answer:
1
Step-by-step explanation:
g(-3)=-2(-3)²+3(-3)
=-18-9
=-27
600% of what number is 5,580
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1