If f(x) = 4x - 8 and g(x)=x²-5, what is
(f+g)(x)?
Add f and g together by combing like terms
answer: x^2 + 4x -13
Answer:
[tex](f+g)(x)=x^2+4x-13[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=4x-8[/tex]
[tex]g(x)=x^2-5[/tex]
Composite function:
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (4x-8)+(x^2-5)\\ & =4x-8+x^2-5\\ & =x^2+4x-8-5\\ & = x^2+4x-13 \end{aligned}[/tex]
find the area of a rectangle with length 2/1 4 ft and width 2/1 3
Answer:
5 1/4
Step-by-step explanation:
2 1/4 x 2 1/3 = 21/4 = 5 1/4
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Given that 1 millimeter = 1/1000 meters, 2 500 millimeters in meters is?
Answer:
2.5
Step-by-step explanation:
You can do this in an easier way than you may be thinking. You know that 1/000 is 1 mm, therefore to get 2,500, you multiply it by 2.5.
Answer:
[tex]1\ m[/tex]
Step-by-step explanation:
Step 1: Determine the total millimeters
[tex]2 * 500\ mm[/tex]
[tex]1000\ mm[/tex]
Step 2: Covert to meters
[tex]1000\ mm * \frac{1\ m}{1000\ mm}[/tex]
[tex]1\ m[/tex]
Answer: [tex]1\ m[/tex]
When factored, the trinomials x2 + 2x − 15 and x2 + 7x + 10 have one binomial factor in common. What is this factor?
Answer:
(x+5)
Step-by-step explanation:
x^2 + 2x -15 = (x+5)(x-3)
x^2 + 7x + 10 = (x+5)(x+2)
find the roots of the following quadratic equtions by factorisation ;
[tex] { x}^{2} - 3x - 10 = 0[/tex]
Answer:
[tex] {x}^{2} - 3x - 10 = 0 \\ (x - 5)(x + 2) = 0 \\ \\ x - 5 = 0 \: - > x = 5 \\ \\ x + 2 = 0 \: - > x = - 2[/tex]
You are putting 30 different bolts into bins according to the size of the bolt. So far, you have successfully put 10 bolts into bins, which is 13 1 3 of the total job. What is your answer when your supervisor asks, “Within 1%, what percent of the job is complete?”
What is your 95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people)? Explain your reasoning by giving a roughly one-sentence justification for each important step of your reasoning.
A 95% credible interval means that you believe there is a 95% chance that thetrue value will fall within your interval. If I were 95% confident that the number of books in a library was between 100 and 500, then my 95% credible interval would be 100-500.
Astronomy is written in clear non-technical language, with the occasional touch of humor and a wide range of clarifying illustrations. It has many analogies drawn from everyday life to help non-science majors appreciate, on their own terms, what our modern exploration of the universe is revealing. The book can be used for either a one-semester or two-semester introductory course (bear in mind, you can customize your version and include only those chapters or sections you will be teaching.) It is made available free of charge in electronic form (and low cost in printed form) to students around the world. If you have ever thrown up your hands in despair over the spiraling cost of astronomy textbooks, you owe your students a good look at this one.
Astronomy has information and images from the New Horizons exploration of Pluto, the discovery of gravitational waves, the Rosetta Mission to Comet C-G, and many other recent projects in astronomy. The discussion of exoplanets has been updated with recent information—indicating not just individual examples, but trends in what sorts of planets seem to be most common. Black holes receive their own chapter, and the role of supermassive black holes in active galaxies and galaxy evolution is clearly explained. Chapters have been reviewed by subject-matter experts for accuracy and currency.
The required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.
Given that,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people) is to be explained.
Statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
95% credible interval for the number of people who will be alive in the year 3000 CE (including digital people), by going through certain iterations for the 95% credible interval for the number of people alive in the year 3000 CE will give the required interval.
Thus, the required 95% credible interval for the number of people alive in the year 3000 CE is the true approximate value of different iterations.
Learn more about Statistics here:
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Please help me with this
Answer:
Answer is 1008
Step-by-step explanation:
Given,
5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container
The volume of big container is the LCM of the 5 given containers
LCM (16,72,12,24,56) = 1008
Therefore the capacity of the bigger container is 1008 litres.
Step-by-step explanation:
the answer is 100 litters
Three-fourths of Mrs.
Brown's class is boys.
Two-thirds of those boys
are wearing tennis shoes.
What fraction of the class
are boys with tennis shoes?
Answer:
3/12
Step-by-step explanation:
2/3 of the 3/4
=3/4×2/3
=6/12
=1/2
this is to say a half of the boys are wearing tennis shoes
since the total number of boys in the class is 3/4
1/2 of the 3/4
=3/12
Digits Needed to Write Decimal
Numbers as Binary Numbers
Decimal
Number, x
Digits Needed for
the Equivalent
Binary Number, y
2
2
4
3
8
16
32
4
5
6
Each place in a decimal number can be one of
the digits 0 to 9. Each place in a binary number
can only be 0 or 1. The table shows the number
of digits needed to represent several decimal
numbers as binary numbers.
Which type of function best models the data in
the table?
DONE
Find the distance between the two points. (1,1) ✓ [?] Enter the number that goes beneath the radical symbol. (3,-4)
The distance between the two points (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).
How to measure distance between two points?To measure the distance between two points of a coordinate system, the formula can be given as,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (x₁, y₁) are the coordinates of point 1 and (x₂, y₂) are the coordinates of point 2.
The distance between the two points. (1,1), (3,-4) has to be find out. Use the distance formula to find the distance between them,
[tex]D=\sqrt{(1-3)^2+(1-(-4))^2}\\D=\sqrt{(-2)^2+(5)^2}\\D=\sqrt{4+25}\\D=\sqrt{29}[/tex]
Thus, the distance between the two points (1,1) and (3,-4) , using the distance formula in the radical symbol, is √(29).
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If you have 34 cookies and eat 7 plus 4/9 how much do you have?
Answer:
26 and 5/9 are left if you eat 7 and 4/9 of 34 cookies.
Step-by-step explanation:
Answer:
15 cookies
Step-by-step explanation:
34-7=27
eat 4/9 of remaining cookies means 27÷9×4= 12 more cookies are eaten
27 - 12 = 15
pls help me with this
Answer: A:2 R8
This image should help, but first, you should find the biggest number that 27 can be multiplied by, but stay under 62, which in this case is 2, because 27*3=81 and 2 is the maximum it can be while staying below 62. which makes the equation turn into 62-54=8, making the remainder 8.
Step-by-step explanation: hope this helps
help me please, i will give brainliest if correct answer:
Dilate a triangle with vertices (0, 0), (0, 2), and (2,0) using the scale factor k = 3. What is the value of the ratio (new to original) of the perimeters? the areas?
The ratio of the perimeters is ____
The ratio of the areas is ____
Answer:
The ratio of the perimeters is 3
The ratio of the areas is 9
Step-by-step explanation:
Given:
Dilate a triangle with vertices (0, 0), (0, 2), and (2,0) using the scale factor k = 3.
To Find:
What is the value of the ratio (new to original) of the perimeters? the areas?
Solution:
What is the value of the ratio (new to original) of the perimeters?
Since, two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let the following be:
k ⇒ the scale factor
x ⇒ the perimeter of the new triangle
y ⇒ the perimeter of the original triangle
Knowing that:
k = x/y
Thus:
k = 3
Now Substitute:
x/y = 3
-------------------------------------------------------------------------------------------------------------
What is the value of the ratio (new to original) of the areas?
Since, two figures are similar, then the ratio of its areas is equal to the scale factor squared.
k ⇒ the scale factor
x ⇒ the area of the new triangle
y ⇒ the area of the original triangle
k ² = x/y
Since,
z = 3
Then,
x/y = 3 ²
3 ² means to 3 × 3
x/y = 9
-------------------------------------------------------------------------------------------------------------
Kavinsky
Can you please help me and show me how to find the anwser and can you guys give me the anwsers
Answer: A
Step-by-step explanation: Exact on the number line
Answer: A
Step-by-step explanation: The answer is A you have to look at the easy numbers first like -4 and 1/2 try to find them on the line, a whole number will be one of the big lines,1/2 will be right in the between two whole numbers, 3/4 will me the little line right before a number and so on. You can use process of
elimination to make it easier.
1. There are red and blue marbles in a bowl.
There are twice as many blue marbles as
red marbles. What expression represents
the number of blue marbles?
A 2b, where b is the number of blue
marbles
B 2r, where r is the number of red
marbles
Cr+2, where ris the number of
red marbles
D
b
where b is the number of
2
blue marbles
Answer:
2r, where r is the number of red marbles
Step-by-step explanation:
Since there is twice as many blue marbles as red marbles, it infers blue marbles = 2 × red marbles.
The set of all points in a plane that lie the same distance from a single point in the plane.
Explanation:
Imagine that you have a rope staked into the ground at one end. The other end is allowed to move freely. At this freely moving endpoint, imagine white chalk is spread on the grass. The chalk would draw out a circle. Each point on the white chalk circle is the same distance away from the center.
Another example: we have a campfire and campers gather around it. The fire itself is the center. The campers would be on the edge of the circle if they are the same distance away from the fire (eg: all of them 5 feet away from the fire).
The garden club bought 2,360 tulip bulbs. They want to split the bulbs equally into at
least 3, but less than 10, gardens with no bulbs left over. How many gardens could they
split them into without having any left over?
How many combinations of 4 books can you choose from 6 books?
Answer:
[tex]\huge\boxed{\bf{^6C_4 = 10combinations}}[/tex]
Step-by-step explanation:
Given:-
6booksTo find:-
How many combinations of 4 books can you choose from 6 books?Ans:-
[tex]\sf \to ^6C_4 = \frac{6!}{4!(6 - 4)!} [/tex]
[tex]\sf \to ^6C_4 = \frac{6!}{4!2!} [/tex]
[tex]\sf \to ^6C_4 = \frac{\cancel6^2*5*\cancel{4!}}{\cancel{4!}\cancel{2!}} [/tex]
[tex]\sf \to ^6C_4 = 2*5 [/tex]
[tex]\sf \to ^6C_4 = 10combinations[/tex]
[tex]\: [/tex]
[tex]\huge\colorbox{blue}{BlackPain} [/tex]
Principal. Time. Rate
470. 40 days. 10%
Whats the interest?
Interest is calculated monthly here
Months=1+1/3=4/3monthsP=470R=10Interest:-
I=PRT/100I=470(4/3)(9)/100I=47(12)/10I=47(6)/556.5$Step-by-step explanation:
Interest can be calculated by formula,
» I = Prt
where,
p = principalr = annual interest ratet = time (yrs)Given:
Principal - 470Rate - 10%time - 40 daysTo find:
Interest?Solution:
Time in yrs so :- 40/365 = 8/73
Rate :- 10/100
Calculating Interest
I = Prt» I = 470* 8/73* 10/100
» I = 47* 8/73
» I = 5.15
Which of these foods has a high percentage of calories from fats?
A. apples and oranges
B. carrots and eggs
C. bread and celery
D. mayonnaise and nuts
Answer:
D. mayonnaise and nuts
Step-by-step explanation:
Answer:
D. Mayonnaise and nuts
Step-by-step explanation:
Mayonnaise and nuts
How many millions are in the number 15,765,132?
A.30
B.15
C.1
D.5
Answer:
B. 15
Step-by-step explanation:
The 5 is in the millions place. The 1 at left is in the 10 millions place.
That means 15 million.
Answer: B. 15
Answer:
Option B. 15
Step-by-step explanation:
To write it in words we have.
write in words: fifteen million, seven hundred and sixty-five thousand, one hundred and thirty-two
In Expanded Form:
15,765,132 =
10,000,000
+ 5,000,000
+ 700,000
+ 60,000
+ 5,000
+ 100
+ 30
+ 2
= 15,765,132
There you go the answer is Option B. 15
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A glider begins its descent 3/5 mile above the ground. After 30 minutes, it is 9/20 mile above the ground. If it continues to descend at this rate, how long does the entire descent last
Answer:
I dont know
Step-by-step explanation:
I was looking for the same answer to this question☠
Given the two concentric circles with center H below, find the area of the shaded region. Round your answer to the nearest tenth if necessary.
Answer:
A ≈ 194.8 units²
Step-by-step explanation:
the shaded area (A) is calculated as
A = area of outer circle - area of inner circle
= πr₁² - πr₂² (r₁ is outer radius and r₂ the inner radius )
= π × 13.5² - π × 4.5²
= π(13.5² - 4.5²)
= π(182.25 - 20.25)
= π × 62
≈ 194.8 units² ( to the nearest tenth )
The base of the rectangular prism is shaded what is the lateral surface area ( show work pls )
Answer:
126 square feet
Step-by-step explanation:
Lateral Surface Area :
Perimeter of Base x HeightPerimeter :
2(11 + 3)2(14)28 ftHeight : 4.5 ft
Solving :
LSA = PhLSA = 28 x 4.5LSA = 126 square feetThe product of two numbers is 66. Their sum is 17. What are the two numbers?
Answer:
Then the two numbers are -11 and -6.
Answer:
11 and 6
Step-by-step explanation:
x+ y = 17 or y = 17-x
and
xy = 66 sub in y = 17-x
x ( 17-x) = 66
-x^2 + 17x - 66 = 0 either factor this, or use quadratic formula to find
x = 6 y = 11
Help please this is also due soon
Answer:
Equation C is the correct equation.
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Answer:
1/5
Step-by-step explanation:
Total Frequency is 14+21+70 = 105
Sewing has frequency of 21
21/105 = 0.2 = 1/5
10. Select all true statements.
A. All rectangles are squares.
B. All rectangles are parallelograms.
C. All rhombuses are parallelograms.
D. All squares are rectangles.
E. All squares are rhombuses.
F. All trapezoids are parallelograms.
The correct answers are:
B, D, and E.
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
A rectangle is a parallelogram with all right angles, so yes, every rectangle is a parallelogram.
A square is a parallelogram with all right angles and all congruent sides; since it is a parallelogram with all right angles, every square is a rectangle.
A rhombus is a parallelogram with all congruent sides.
Since a square is a parallelogram with all congruent sides, then every square is a rhombus.
A trapezoid is a quadrilateral with one pair of parallel sides. Since a rhombus is a parallelogram, with 2 pairs of parallel sides, rhombus are not trapezoids.