Answer:
5^3
Step-by-step explanation:
5^1 x 5^2
indices rules when multiplying you add the powers to 1+2=3
5^3
Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x)=9x^2+1
g(x)=square root 2x^3
Answer:
18x^3+1
Step-by-step explanation:
since g(x)=√2x^3 and f(x)=9x^2+1 then
f(g(x))= 9(g(x))^2 +1 = 9(√2x^3)^2 +1 = 18x^3+1
this represents the amount of money Sonia earns baking loaves in x hours
The equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex], and it represents the amount of money Sonia makes when she bakes for x hours
The functions are given as:
[tex]f(x) = 9x^2 + 1[/tex]
[tex]g(x) = \sqrt{2x^3}[/tex]
Recall that:
[tex]f(x) = 9x^2 + 1[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 9(g(x))^2 + 1[/tex]
Substitute [tex]g(x) = \sqrt{2x^3}[/tex]
[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
Hence, the equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
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If 1 angle is four time of another angle in linear pair find the angles. Please do it fast as you can
Answer:
let the angle be x then other angle is 4x
so,
x + 4x = 180
5x = 180
x = 36
so other angle I.e 4x = 4 × 36 = 144
Let one angle be x
Other angle=4xBoth are linear pair hence their sum will be 180
[tex]\\ \sf \longmapsto x+4x=180[/tex]
[tex]\\ \sf \longmapsto 5x=180[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{180}{5}[/tex]
[tex]\\ \sf \longmapsto x=30[/tex]
[tex]\\ \sf \longmapsto 5x=5(30)=150[/tex]
what is the scale factor of 10 inches = 5 meters?
Answer:
2:1
Step-by-step explanation:
I'm not completely sure if this is correct, but I'm like 90% sure it is.
What will be the first term of a geometric series which has its sum 280, common ratio 3 and the last term 189 ?
Answer:
b1=7
Step-by-step explanation:
If we deal with geometric series, we should use the formulas for it. If there is the last term, it is not infinite geometric series. The sum of geometric series which isn't infinite is equal to b1(r^n-1)/(r-1) where b1 is the first term and r is the common ratio.
So 280= b1(3^n-1)/(3-1)
560= b1(3^n-1)
560= b1*3^n-b1
Then express bn=b1*r^(n-1)
189= b1*3^(n-1)
189= b1*3^n*1/3
567= b1*3^n when
560= b1*3^n-b1
560=567-b1
b1=7
Here are two fractions 3/10 and 5/7 work out which one is closer to a 1/2
Answer:
Therefore 3/10 is closer to ½
Step-by-step explanation:
We've to get the difference:
» with 3/10 :
[tex] \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}[/tex]
» with 5/7
[tex] | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}[/tex]
but:
[tex] \frac{3}{14} > \frac{1}{5} [/tex]
Among both the given fractions, the one that is closer to a ½ is 3/10.
What is a fraction?A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components. A correct fraction has a numerator that is lower than its denominator.
Required calculations are done with both the fractions,
1/2 - 3/10 = 1/5
1/2 - 5/7 = 3/14
3/14 ≥ 1/5
Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.
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find the area of this rectangle
The answer is
2x^2+1x-45
Given three consecutive even integers whose sum is 54, find the largest of the three integers.
Answer:
The largest of the three numbers is 20Step-by-step explanation:
16, 18, 20
(n) + n+2 + n+4
Note:We only took even numbers
Answer:
20
Step-by-step explanation:
Let the least integer = x. The three consecutive even integers can be denoted as:
x , x + 2 , x + 4
Set the equation:
(x) + (x + 2) + (x + 4) = 54
Simplify. Combine like terms:
(x + x + x) + (2 + 4) = 54
(3x) + (6) = 54
3x + 6 = 54
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 6 from both sides of the equation:
3x + 6 (-6) = 54 (-6)
3x = 54 - 6
3x = 48
Next, divide 3 from both sides of the equation:
(3x)/3 = (48)/3
x = 48/3
x = 16
~
Next, find the largest of the three integers, which was denoted as x + 4:
x + 4
(16) + 4 = 20
20 is the largest integer.
Check:
x + (x + 2) + (x + 4) = 54
16 + (16 + 2) + (16 + 4) = 54
16 + 18 + 20 = 54
16 + 38 = 54
54 = 54 (True).
~
Geometry, please answer question ASAP
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...
XT = TS
3b -1 = b +5
2b = 6
b = 3
TS = b +5 = 8
The chord length is 2·TS = 2·8 = 16 units.
Answer:
C,XS=16
Step-by-step explanation:
3b-1=b+5
3b-b=5+1
2b=6
b=6/2=3
TS=b+5=3+5=8
XS=2 TS=2×8=16
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
In each one, they add two arrows that are to the right as much as they possibly can be
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
the angle that is alternate to X
the angle that is corresponding to X
Help me please. I don't understand geometry.
How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??
-4n ≥ 12 ==> n ≤ -3
n + 5 > 2 ==> n > -3
But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.
Answer: 0
Step-by-step explanation:
Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7, -3, 6, 2
11, -12, 15, -19
-13, -19, -21, -24
Explanation:
A number line might help show why this is the answer. Stuff on the left is smaller than stuff on the right. For instance, -19 is to the left of -14, so that makes -19 to be smaller than -14.
As you can see, the positive values increase as you'd expect. The negative values are a bit strange in that there's this mirroring going on. In other words, the -19 and -14 are flipped if you were to think of them as 14 and 19.
The number line is shown below.
Step-by-step explanation:
Step-by-step explanation:if a number has - the bigger it is the smaller it is in the rank so its number 1
Find the value of the following (-42) + 15 + (-63) can someone say this and fast
[tex]\\ \sf\longmapsto (-42)+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -42+15+(-63)[/tex]
[tex]\\ \sf\longmapsto -27+(-63)[/tex]
[tex]\\ \sf\longmapsto -27-63[/tex]
[tex]\\ \sf\longmapsto -90[/tex]
Answer:
42 + 15 + (-63) = -90
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?
3x – 10y = 50
3x = 50 – 10y
50 + 10y = 3y
50 + 3y = 10y
Answer:
3x=50-10y
Got it right on edge
The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.
Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.
Hence, The correct equation to find the number of each type of weight Bob has,
⇒ 3x + 10y = 50
⇒ 3x = 50 - 10y
Thus, The correct equation to find the number of each type of weight Bob has,
⇒ 3x = 50 - 10y
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(Drop downs:) 8,6,5.5
(Drop downs 2:) 10.5,8,5.5
(Drop downs 3:) 33,22,11
Step-by-step explanation:
Perimeter of equilateral triangle=24, side=24/3=8. Side of square=Side of equilateral triangle - 2.5 = 5.5. The perimeter of square is 4*5.5=22
The sqrt(98) falls between what two numbers on a number line?
Answer:
9 and 10
Step-by-step explanation:
9²=81
10²=100
98 lies between 81 and 100
what value of x makes the equation about 0.75x=-9
Answer:
X = -12
Step-by-step explanation:
0.75x = -9
X = -9/0.75
x = -9/75/100
x = -900/75
x = -12
hope this helps you
mark above answer brainiliest
whats the volume the triangular prism?
Answer:
the volume is 1000 cm^3
Step-by-step explanation:
first we need to find where is the base, and height, for this case, the trian is the base, not the rectangle, so it maybe eas if you draw a upright angle os the shape, with the triangle facing down.
As show you need to have bare and height for the volume of the prism, which we already know the height is 25 (h=25) so now we need to find the base.
for the base, since it’s a triangle, which has the area formal of 1/2(bh), so now just plot the number in, 1/2x10x8= 40 cm^2
now using the volume of prism formal; V = bh = 40 x 25 = 1000 cm^3
13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?
Answer:
$72
Step-by-step explanation:
The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.
The cost of 3 pair of shoes
= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes
= $45 + $27
= $72
So, 3 pairs of shoes will cost $72 today.
How do you solve this?
The length of a rectangle is 5 cm more than the width and the perimeter is at least 61cm. What are the smallest possible dimensions for the rectangle? (Hint: Perimeter = 2L +2W)
Explanation pleaseeee
I think the length is 17.75cm and the width is 12.75 cm
I'm not entirely sure whether it's the smallest possible length but it works on the calculator
17.75*2+12.75*2=61
please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3
Answer:
solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers
k(x) = X +-6
k(3) =
Answer:
-3
Step-by-step explanation:
Idnxjhwhdjdudjdkuff
Answer:
[tex]x=-\frac{18k}{k-1};\quad \:k\ne \:1[/tex]
Step-by-step explanation:
[tex]\mathrm{Divide\:both\:sides\:by\:}k-1;\quad \:k\ne \:1[/tex]
[tex]\frac{x\left(k-1\right)}{k-1}=\frac{-18k}{k-1};\quad \:k\ne \:1[/tex]
if x = 2 and y = 1 what is the expression of 3(y-1)+2x2 ( it’s not actually 2x2 the 2 is small i don’t remember what it’s called)
Answer:
substituting the given values we get,
3(1-1)+2*2
using bodmas we get
3(0)+2*2
0+2*2
0+4
4
therefore the answer is 4,thank you and mark the answer as brainliest if u find my answer helpful
Answer:
he's correct that is the answer!!
What is the taxable income on an adjusted gross income of $112,333 with four exemptions
and $14550 in deductions. Exemptions are valued at $3850.
9514 1404 393
Answer:
$82,383
Step-by-step explanation:
$112,333 - 14,550 - 4×3850 = $82,383 . . . taxable income
__
With no other information, we assume the taxable income is the gross income less the deductions and exemptions.
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
The radius of a football is 5cm.
Calculate its volume.
Refer the attached image for the answer
HOPE SO IT HELPS YOU
Answer:
523.6 to 1 decimal place
Step-by-step explanation:
→ Utilise the formula for a volume of a sphere
[tex]\frac{4}{3}[/tex] × π × r³
→ Substitute in the radius
[tex]\frac{4}{3}[/tex] × π × 5³
→ Simplify
523.6 to 1 decimal place
Over what interval is the function in this graph increasing?
AY
5
O A. -33x2
B. -43x3-2
O C. -5 sxs 5
OD. -2 sxs 3
Answer:
D
Step-by-step explanation:
As the graph depicts, the function is increasing in the interval [-2,3]
