Answers
Answer:
f(g(x)) = 2x² + 4
Step-by-step explanation:
to evaluate f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(10x² + 5)
= [tex]\frac{10x^2+5}{5}[/tex] + 3
= [tex]\frac{10x^2}{5}[/tex] + [tex]\frac{5}{5}[/tex] + 3
= 2x² + 1 + 3
= 2x² + 4
Related Questions
cesit
English (US)
3. The maximum speed of a sloth
on the ground is 15 feet per
minute. Although it is unlikely that
a sloth will keep moving for more
than a few minutes, how far would
a sloth travel in 45 minutes at that
speed?
da
Answers
Answer:
675ft
Step-by-step explanation:
15*45=675
Gabriel draws a shape with 8 vertices and exactly 2 square square faces which shape does Gabriel draw
Answers
Answer: square prism
Step-by-step explanation: It is a square prism. All angles are 90°. rectangular faces and 2 square faces, 8 vertices and 12 edges. It is also a prism because it has the same cross-section along a length.
In September 2022, Mr. Fishman noted that his age was 11 years less than twice his younger sister's age and he
was 2 years younger than his older sister. He also noted that his two sisters are 20 years apart in age. Let x be the age of Mr. Fishman's younger sister. Create at least one equation in order to determine
the younger sister's age in September 2022. Then use the equations you created to solve for all of their ages.
Answers
The younger sister is 29.
The older sister is 49.
Mr Fishman's age is 47.
What are their ages?Let:
x = older sister's age x = younger sister's age c = Mr. Fishman's ageThe difference between the older sister and younger sister's age: y - x = 20 equation 1
Mr Fishman's is 11 years less than twice his young sister's age: 2x - 11 = c equation 2
The difference between Mr Fishman and his older sister's age : y - c = 2
y - 2 = c equation 3
Let equation 2 and 3 be equal : 2x - 11 = y - 2
2x - y = 11 - 2
2x - y = 9
-y + 2x = 9 equation 4
The two equations that would be used are:
y - x = 20 equation 1
-y + 2x = 9 equation 4
Add both equations together
x = 29
Substitute for x in equation 1
y - 29 = 20
y = 29 + 20
y = 49
y - c = 2
49 - c = 2
c = 49 - 2
c = 47
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Which expression is equivalent to 24 *1/3 ?
12432
O 2√3
O 2/3
O 2√6
O 2/6
Answers
The length of a rectangle is 12 feet less than 6 times its width. If the perimeter of the rectangle is
312 feet, find the length and width of the rectangle.
Answers
If the perimeter of rectangle is 312 feet,
The length and width of the rectangle are 132 feet and 24 feet
let the width of the given rectangle be x feet
then as per the information provided in the question , the length of rectangle is 6x-12 feet
the parameter of the rectangle is the two times the sum of its length and breath = 2(l+ b)
We are already provided with the parameter of the rectangle as 312 feet
So, let us put the value of length and breath along with the parameter in the formula
312= 2( (6x-12) + x
312= 2( 6x-12 + x)
312= 2(7x-12)
312= 14x - 24
312+24 =14x
336=14x
therefore x= 24
Hence, the length and width of the rectangle are 132 feet and 24 feet
the perimeter of rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle.
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Seth buys last year's best-selling novel, in hardcover, for $16.90. This is with a 35% discount from the original price. What was the original price of the novel?
Answers
Answer:26
Step-by-step explanation:
x - .35x = 16.90
x(1 - .35) = 16.90
x(.65) = 16.90
x = 16.90/.65
x = $26
Eleven subtracted from eleven times a number is -66. What is the number?
Answers
If eleven subtracted from eleven times a number is -66, the unknown number is -5
What is the numerical value of number?Given the data in the question;
Eleven subtracted from eleven times a number is -66. What is the number?First we translate the statement into an algebraic expression and solve for the unknown number.
Let x represent the unknown number.
Translation
Eleven times a number ⇒ 11 × x = 11xEleven subtracted from ⇒ -11Is -66 ⇒ = -16Now, we combine.
11x - 11 = - 66
Solve for x
Add 11 to both sides
11x - 11 + 11 = - 66 + 11
11x = -55
x = -55/11
x = -5
Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5
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Dress shoes of a specific style for women come in sizes ranging from 6 to 10. A retailer believes that this range of
sizes is adequate for all but 5% of its female customers.
(a) What normal model for sizes is consistent with the opinion of the retailer? (Assume that the model is centered on
the given range.)
(b) If the retailer uses a normal model, then should it order more shoes of sizes 6 and 7 or more shoes of sizes 9 and
10?
(c) Can a normal model possibly be the right model for the proportion of shoe sizes of the retailer's female
customers?
(a) The normal model with μ = and o=
(Round to the nearest integer as needed.)
CCC
is consistent with the opinion of the retailer.
Answers
Normal model for sizes is (7,1)
Here 5% of female customer have foot size in between 6-10
a)We were told that there are dress shoes in sizes 6 to 10 point, and the tailor believes that, with the exception of 5% of his female customers, the shoe would fit almost everyone. As a result, it accounts for 95 percent of female customers or women who try on his shoes, and we've been asked to determine what standard model for sizes is consistent.
b)The mean is 8 and the standard deviation is 2 points. So, we can say that x follows a normal model with a mean of 8 and a variance of 4 point right and in part b, we were asked whether a retailer should order more shoes in sizes 4 and 5 or more shoes in sizes 11 and 12 point so the best way to do this is to draw a balk curve or the symmetric table. So let's try to graft that together. draw it out to begin with so an important feature of the normal curve of the ball curves that it's always symmetric about the mean.
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-4.25.(3/10 plus 1/5)
Answers
Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal
Step-by-step explanation:
pls mark brainlist
Answer:
5/10 or 1/2 or .5 for fractions multiplied by =-2.
Hong is saving money to buy a game. So far he has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answers
Answer:
1/4 of 12 is 3, so if he has 3/4 of the total cost saved up, add 12+3, which is $15, which is the total cost of the game.
Step-by-step explanation:
What is the x-intercept of the line with this equation -3x+1/2y=18
Answers
Answer:
Step-by-step explanation:
for the x-intercept this is where the y value is equal to 0But before that by inspection you can see that your equation is not in the standard form of a straight lineMake y the the subject of the equation[tex]\frac{-3x+1}{2y}(2y) =18(2y)\\-3x+1=36y\\y=\frac{-3x+1}{36}[/tex]Now plug in y=00=-3x+1-3x=-1[tex]x=\frac{1}{3}[/tex]Come up with two variables that are related in your view; determine which variable is the dependent variable and which one is the independent variable. Draw a line graph by hand, labeling the vertical and horizontal axis consistent with your choice of variables. The line in the line graph has to represent, what, in your view, is the relationship between the two variables. Describe your graph verbally in your post (no need to upload the graph itself
Answers
Using a linear function, given by S(x) = 10 + 2x, we have that:
The independent variable is the number of weeks x.The dependent variable is the savings after x weeks, given by S(x).The graph means that the balance starts at $10 and increases by $2 each week.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The value of y depends on the value of x, hence x is the independent variable and y is the dependent variable.One example is a person with savings of $10, and the amount increases by $2 each week, hence the relation is:
S(x) = 10 + 2x.
In which:
The independent variable is the number of weeks x.The dependent variable is the savings after x weeks, given by S(x).The graph means that the balance starts at $10 and increases by $2 each week.More can be learned about linear functions at https://brainly.com/question/24808124
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The area of a square garden is 64 yd². How long is each side of the garden?
Answers
Answer:
area of a square= s^2
so the each side is 8
help me on this easy problem for 15 points
Answers
Answer:
11000
Step-by-step explanation:
I=(PxRxT)/100
I=(10000x20x1)/100x2
I=200000/200
I=1000
TA=10000 + 1000
Total Interest = 11000
The table below shows how the age of a certain tree is related to the
diameter (width) of its trunk. How old (in years) is a tree whose trunk is 12
inches in diameter?
Trunk diameter
(inches)
4
5
6
7
8
69
Age
(years)
10
20
30
40
50
60
Answer here
years old
Answers
Based on the relationship between the age of a tree and the inches in diameter, the age of a tree with 12 inches diameter is 100 years old.
What is the age of the tree?The relationship between the age of a tree and the length of its diameter is such that from 4 inches in diameter, the age of the tree increases by 10 years for every 1 inch increase in diameter.
The last number of years shown in the table is 60 years which corresponds with 8 inches.
The number of years that a 12 inch tree would be is:
9 inches = 70 years
10 inches = 80 years
11 inches = 90 years
12 inches = 100 years
In conclusion, the tree would be 100 years.
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How do I solve 9-2(p+1)=4(p-8)
Answers
Answer:
Step-by-step explanation:
First, distribute the -2 to the p and +1 in the parentheses.
9-2(p+1)=4(p-8)
9-2p-2=4(p-8)
Then on the other side do the same thing distributing the 4 to the p and -8.
9-2p-2=4(p-8)
9-2p-2=4p-32
Now isolate the variable p by adding 2p to each side
9-2p-2=4p-32
9-2=6p-32
From here you subtract 9 from 2 and then add 32 to both sides.
7=6p-32
39=6p
finally you divide both sides by 6 to get p.
39/6=p
6.5=p
least to greatest 7.9 8.6 0.98 0.8
Answers
Answer: 0.8, 0.98, 7.9, 8.6
Step-by-step explanation:
its geometry hope someone sees thing lol
Answers
From the given geometry, it can be concluded that line 'a' and 'b' are parallel.
What do you mean by geometry?
Geometry is a discipline of mathematics concerned with the study of the sizes, forms, locations, angles, and dimensions of objects.
The area of mathematics that studies the characteristics, measurement, and spatial relationships of points, lines, planes, and figures.
From the geometry, the angles 19 and 22 are consecutive converse exterior angles when line 'a' and 'b' is cut through a transversal 'e'. And their sum is 180°. So, lines 'a' and 'b, are parallel.
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An airplane travel 780 miles in 4 hours the equation y= 195x models this situation
Part A: what is the constant of proportionality
Part B: what does the constant of proportionality represent?
Answers
Answer:
a) constant of proportionality = 196
b) constant of proportionality represents the speed of the airplane in miles per hour
Step-by-step explanation:
The proportionality relationship is
y ∝ x where y = distance flown in miles and x is time in hours
This can be modeled as an equation
y = k. x where k is the constant of proportionality
The equation given is y = 195x so 195 is the constant of proportionality , it is basically the speed of the airplane in mph
can I get help on this I need the code for this and Ive tried everything
Answers
Using proportions, it is found that:
a) They can paint 2.8 pictures in one hour.
b) The rate per hour is of 131.2 magazines.
c) The unit rate is of 0.86 problems per minute.
d) He can make 92.5 tacos in one hour.
e) He walks 3.75 miles in one hour.
The code is of 148.79.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:
4/5/(2/7) = 4/5 x 7/2 = 2.8.
They can paint 2.8 pictures in one hour.
For item b, we have that:
328/2.5 = 131.2.
The rate per hour is of 131.2 magazines.
For item c, we have that:
15/17.5 = 0.86.
The unit rate is of 0.86 problems per minute.
For item d, we have that:
185/2 = 92.5.
He can make 92.5 tacos in one hour.
For item e, we have that:
0.75/0.2 = 3.75.
He walks 3.75 miles in one hour.
For the code, the letters are given as follows:
E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.
Hence the code is given by:
E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.
The code is of 148.79.
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You receive the following prescription. Celexa comes in a 240 mL container, in an
oral solution of 10 mg/5 mL.
R Celexa oral solution 30 mg PO a day
a. How much liquid will be in each dose?
b. How long will the container last the patient?
Answers
Each dose will contain 15 ml volume of liquid.
The container will last for 16 days.
What is Volume?Volume is a measurement of three-dimensional space that is occupied. Numerous imperial units or SI-derived units, such as the cubic meter, gallon, quart, cubic inch and liter, are frequently used to quantify it numerically .
What is Unitary Method?The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other.
Inverse variation is the direct variation's opposite. A quantity's value decreases if we raise the other quantity, and vice versa.
Given data:
Volume of Celexa oral solution container = 240 ml.
Concentration of Celexa oral solution(m/v) = 10 mg/ 5 ml.
Dosage for one day = 30 mg.
liquid in 10 mg = 5 mlby using unitary method
liquid in 1 mg = 5/10 ml
liquid in 1 mg = 0.5 ml
liquid in each dose = liquid in 30 mg
liquid in 30 mg = 30×liquid in 1 mg
liquid in 30 mg = 30×0.5
liquid in 30 mg = 15 ml
Therefore, liquid in each dose will be 15 ml.Volume of celexa container = 240 ml.
dose for one day = 30 mg
Number of days that the container will last =Volume/Dose for a
Number of days that the container will last = 240/30
Number of days that the container will last = 16 days.
Hence, the container will last for 16 days.
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Which value can each term be multiplied by to eliminate the decimals in the equation 0.5x + 1 = 0.75x?
Answers
The value that each term can be multiplied by to eliminate the decimals in the equation is 4
Which value can each term be multiplied by to eliminate the decimals in the equation?The equation is given as
0.5x + 1 = 0.75x
Represent the terms as a fraction
So, we have
1/2x + 1 = 3/4x
The denominators in the above fractions are
2 and 4
The LCM of 2 and 4 is 4
Hence, the value that each term can be multiplied by to eliminate the decimals in the equation is 4
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Layla and Amelia are making bracelets. It takes Layla 45 minutes to make 9 bracelets on her own. Together, Layla and Amelia can make 9 bracelets in 20 minutes. How long will it take Amelia to make 9 bracelets?
Answers
Answer:
Step-by-step explanation:
It takes Layla 45 minutes to make 9 bracelets on her own.
45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.
Layla and Amelia can make 9 bracelets in 20 minutes.
20 divided by 9 equals 2 and 2/9.
5 - 2 2/9= 2 7/9
2 7/9 times 9 equals 25
Amelia can make 9 bracelets in 25 minutes
So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.
this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.
so sorry if i'm wrong :(
PLS HELP I WILL GIVE BRAINLY-EST
What is the slope-intercept form of the following equation?
10x + 4y = 16
y = ___________ x + __________
Answers
Answer: y=−5/2x+4
Step-by-step explanation:
Put it into a app
Find the equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7. Write your answer in the form y=mx+b.
Answers
The equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7 is y = -(1/25)*x - 21/25
How to find the equation of the line?
We want to find a line perpendicular to y = 25x + 7, then the slope of our line must be the inverse of the opposite of 25, this is:
a = -(1/25)
Then our line is something like:
y = -(1/25)*x + b
And we want this to pass through (-4, -1), then:
-1 =-(1/25)*-4 + b
-1 = 4/25 + b
-1 + 4/25 = b
-25/25 + 4/25 = b
-21/25 = b
We conclude that the linear equation is:
y = -(1/25)*x - 21/25
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a function has an initial value of 5 and a rate of change of 6 PLEASE HELP MEEEEE
Answers
The surface are of three demensional shape
Answers
The surface area of the given cuboid is 48ft².
What is a cuboid?A cuboid is a hexahedron, or six-faced solid, in geometry. It has quadrilateral faces. Cuboid means "like a cube," in the sense that a cuboid can be transformed into a cube by adjusting the length of the edges of the angles between edges and faces.The formula for the Surface area of a cuboid: 2(lw + wh +lh)
Now, substitute values in the formula as follows:
2(lw + wh +lh)2[(5×2) + (2×2) + (5×2)]2(10 + 4 + 10)2(24)48ft²Therefore, the surface area of the given cuboid is 48ft².
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Give the equation of the line parallel to line 1 which passes through (-8,-5)
Answers
The equation of the line is y = 5x + 35
How to find the equation of a line?The equation of a line can be represented in a slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, line that are parallel have the same slope.
Therefore, if line one slope is 5, then the slope of the unknown line will be 5.
Hence,
y = 5x + b
let's find the y-intercept using (-8, -5)
-5 = 5(-8) + b
-5 = -40 + b
b = -5 + 40
b = 35
Therefore, the equation of the line is y = 5x + 35
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Need to get this math done. What is the product?
Answers
In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7
Product of (3a^2b^4)*(-8ab^3)
Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.
The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:
Multiplicand: The first number (factor).
Multiplier: The second number (factor).
Product: The final result after multiplying the multiplicand and multiplier.
(3a^2b^4)*(-8ab^3)= -24a^3b^7
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POSSIBLE OR INPOSSIBLE?
A multiple of 7 between 80 and 90.
Answers
84
7 x 12=84
