Answers
The value of the composite function (p + q)(2) is 1
How to evaluate the function?The function expression is given as:
(p + q)(2)
As a general rule
(p + q)(x) = p(x) + q(x)
Substitute 2 for x
(p + q)(2) = p(2) + q(2)
From the table, we have:
p(2) = 3 and q(2) =-2
So, we have:
(p + q)(2) = 3 - 2
Evaluate
(p + q)(2) = 1
Hence, the value of the composite function (p + q)(2) is 1
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Answer: (p+q)(2)=1
Step-by-step explanation:
Edge
Related Questions
1/3x + 1 = -2 PLEASE HELP
Answers
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answers
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
Please help , giving brainliest .
Answers
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
please help if u know :D
Answers
Answer:
B.
Step-by-step explanation:
We can start by dividing 3.5 and 0.75.
3.5/0.75 is 4.67.
Now, we multiply 4.67 by 1 since we are finding how much she walks in 1 hour.
1*4.67 is 4.67.
You are a pharmacy technician at costco. you are responsible for filling prescriptions for patients
that are ordered by the doctors.
you are looking over a pharmacy order. a doctor ordered 180 ml of prednisone 2 mg/1ml. you
checked, and do not have 180 ml of prednisone 2 mg/1ml. at the moment, you only have 10 mg
tablets in stock and cherry syrup.
you want to make this order for the patient, and in order to do this, you need to calculate how
many 10 mg tablets you will need to mix cherry syrup, in order to create 180 ml of 2mg/1ml.
now, just to make sure you understand the metric system well, can you describe what ml
measures and how it compares to the base unit? what does mg compare and how does it
compare to the base unit?
Answers
Answer:
36 tablets
Step-by-step explanation:
We are asked to find the number of tablets of a particular mass that are required to give a specific mass-to-volume ratio for a given volume of solution. The units used are all SI (metric) units.
__
metric unitsThe International System of units (abbreviated SI in all languages) defines seven base units and a number of derived units. The base unit for length is the meter. For mass, the base unit is the kilogram. The derived unit for volume is the liter, which is 1/1000 of a cubic meter.
Currently, there are 20 prefixes defined that signify powers of 10 ranging from 10^-24 to 10^24. These are used in front of the abbreviations for units. Useful here are the prefixes kilo- and milli-, standing for 10^3 and 10^-3, respectively. The relevant abbreviations are ...
m - meterg - graml or L - liter (often L is used in order to avoid confusion)k - kilom - milliIn this problem, the volume of syrup used is 180 ml, or 180×10^-3 liters. The mass of medicine in one tablet is 10 mg, or 10×10^-3 grams.
__
mass of medicineWe desire a solution with a concentration of 2 mg/ml. We want 180 ml of the solution, so the mass of medicine that needs to be incorporated is ...
(180 ml)×(2 mg/ml) = 360 mg
number of tablets
Each tablet supplies 10 mg of medicine. To get 360 mg of medicine, we need n tablets, such that ...
n(10 mg) = 360 mg
n = (360 mg)/(10 mg) = 36 . . . . tablets
36 tablets of 10 mg each are needed to mix with 180 ml of syrup to give 2 mg/ml.
Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
Answers
Explanation: TIMES 10 AND 12 AND THATS YOUR ANSWER.
A population of aardvarks is growing at a rate of 2% per year. This year there are 714 aardvarks. How many aardvarks were there last year
Answers
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the amount of aardvarks after x years.
It can be represented by the equation:
y = a(1.02)ˣ
If this year there are 714 aardvarks, the amount in the last year is:
714 = a(1.02¹)
a = 700
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
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Give the prime factorization of 28.
Answers
Can anyone help? 80 points!
Answers
Answer:
D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Step-by-step explanation:
Given expression:[tex](8x^4y^5)^{\frac{2}{3}[/tex]Simplify in steps, using below properties of exponents:
[tex]a^ba^c= a^{b+c}[/tex] Product of Powers Property[tex](a^b)^c=a^{bc}[/tex] Power of Power PropertySolution:[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Correct choice is D
Answer:
[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]
Rewrite 4 as (3 + 1) and 5 as (3 + 2):
[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]
[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]
Rewrite 4/3 as 1 + 1/3:
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]
[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]
[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]
Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?
Answers
The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".
How to solve inequality?5(x + 2) ≥ 7x + 2(x - 1)
5x + 10 ≥ 7x + 2x - 2
5x + 10 ≥ 9x - 2
collect like terms5x - 9x ≥ -2 - 10
-4x ≥ - 12
x ≤ -12/-4
x ≤ 3
Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".
The complete question:
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3
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Please help me this is my last question this one is worth big points for me
Answers
Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50
Step-by-step explanation:
Hope this helps
:3 have an amazing day or a beautiful day:)
Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking.
Answers
Answer:
I disagree.
Step-by-step explanation:
The reasoning may be wrong but I believe it is disagree.
I am going to keep it simple.
On the spinner there are 4 options, 3 for red and 1 for yellow.
Therefore, we have a 1/4 chance to get a yellow once.
If we get a yellow again, it is another. 1/4 chance.
1/4 x 1/4 is 1/16, considerably smaller than 1/3.
Answer:
From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore,
[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]
[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]
Multiplication Rule for Independent Events
For independent events A and B:
[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]Therefore,
[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]
ConclusionAri is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Solve for x. Round to nearest tenth
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above
Answers
Answer:
x ≈ 4.4
Step-by-step explanation:
using the tangent ratio in the right triangle
tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )
x × tan43° = 4.1 ( divide both sides by tan43° )
x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )
The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in image.
Now, We can formulate;
tan 43° = Opposite / Base
⇒ tan 43° = 4.1 / x
⇒ 0.932 = 4.1 / x
⇒ x = 4.1 / 0.932
⇒ x = 4.39
⇒ x = 4.4 units
Thus, The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
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Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)
Answers
The number of games Ben predict Orioles will win this year is 64 games
How to find percentage?Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160Number of games Ben predict they will win = 40% of 160
= 40/100 × 160
= 0.4 × 160
= 64
Therefore, the total number of games Ben predict they will win is 64 games
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What compass heading represents 20° north of west? PLS HELP
Answers
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
frank says that he typically makes about $27 per day because the mode is 27. is frank's conclusion appropriate? explain.
Answers
If Frank says that he typically makes about $27 per day because the mode is 27. Yes, Frank's conclusion is appropriate. And mean is 28.
The complete question is given below.
Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.
What are statistics?Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
The data is given below.
25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28.
The measures of center and variability that best summarize Frank's data will be
Mean = (25+30+24+20+20+22.5+75+27+27+22+22+27+22.5+28) / 14
Mean = 392 / 14
Mean = 28
If Frank says that he typically makes about $27 per day because the mode is 27.
Yes, Frank's conclusion is appropriate.
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Can someone help me with this question ?
Answers
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
What is the end behavior of the function f(x)=−1/4x^2?
Answers
Answer:
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
Because the function goes in the downward direction on both sides, it would be negative infinity for both.
It's basically saying, as the x values go towards the positives, the y values go towards the negatives
and as the x values go towards the negatives, the y values go towards the negatives.
What does a negative AH₁ for a molecule mean?
Answers
Answer: C
Step-by-step explanation: I know it trust me
As the sample size increases, the margin of error _____.
Answers
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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Пожалуйста помогите с решением
Answers
Answer:
( x, y) =
[tex]65 \ \frac{15}{11} [/tex]
this is your answer
anyone know the answer?
Answers
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
Find the slope of the line through the given points: (-19, 5), (19, 15)
Answers
Answer:
Step-by-step explanation:
(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope
y - 5 = 5/19(x + 19)
y - 5 = 5/19x + 5
y = 5/19x + 10
Given the table, write an equation in slope-intercept form.
Answers
Answer:
If you plot points accordingly to the points on the table, Option A. is correct.
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answers
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answers
Answer: 93 boxes will be needed
Step-by-step explanation:
If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.
1,486 / 16 = 92.875
We will assume you cannot have 0.875 of a box, so we will round up to:
93 boxes will be needed
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Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answers
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answers
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
2+7x1232 = what pls help its matth
Answers
Answer:
8626
Step-by-step explanation:
use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting
Answer: 8,626
Step-by-step explanation:
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Multiplication comes first:
2+ (7x1232)
Next, addition:
2+8624
8626
Hope this helps :)) Brainliest would be appreciated :D
help please i need answers fast if you help or try to help tysm *hearts*
Answers
Answer:
C. 3rd one Fraction 10/24
Step-by-step explanation:
3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12 are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41
Step-by-step explanation:
Hope This Helped