Answer:
[tex]\frac{15*7^{x} }{7^{x} +9}[/tex]
Step-by-step explanation:
→ Substitute f(x) into g(x)
[tex]\frac{15*7^{x} }{7^{x} +9}[/tex]
Yaqub, Angus and Iris share 18 slices of pizza in the ratio
1:3:2.
How many slices of pizza does Iris have?
Answer:
6 Slices
Step-by-step explanation:
Total units = 1 + 3 + 2 = 6 Units
6 Units = 18 Slices of Pizza
Iris shared 2 units.
1 Unit = 18/6 = 3 Slices of Pizza
2 Units = 2 * 3 = 6 Slices of Pizza
Drag each tile to the correct box.
A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria, the person will fall sick. Let’s suppose 100 such bacteria entered a person’s blood. How many hours will it take for the person to become sick? Arrange the steps in the right order to show how to find the number of hours it will take for the person to fall sick.
The steps arranged in the right order are:
45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]
45,000,000 = [tex]100(2.5)^{t}[/tex]
450,000 = [tex](2.5)^{t}[/tex]
log 450,000 = log [tex](2.5)^{t}[/tex]
log 450,000 = log t (2.5)
[tex]\frac{log 450,000}{log 2.5} = t[/tex]
5.632 / 0.3979 = t
t = 14.21 hours
What are the correct steps?The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:
FV = P(1 + r)^t
Where:
FV = future value of the bacteria PV = present population r = rate of increase t = number of hours45,000,000 = 100( 2.5)^t
t = log 450,000 / log 2.5
t = 14.21 hours
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A machinist who had been producing 40 parts per day increased to the out put of 60 parts per day by going to a faster machine. How many times faster is the new machine? Wright your answer as a mixed number.
bill $42 , tax 9% , tip 18%
Answer:
Tax 3.78 $ and tip 7.56 $
Step-by-step explanation:
42*0.09 = 3.78
42*0.18 = 7.56
Find the midpoint of the segment with the following endpoints. (-9, 8) and (-4, -2)
The mid point of the segment with the following endpoints. (-9, 8) and (-4, -2) is (-6.5, 3)
How to find mid point ?The mid point of the segment can be found as follows;
The endpoint is a follows:
(-9, 8) and (-4, -2)
Therefore,
mid point = (x₁ + x₂ / 2, y₁ + y₂ / 2)
hence,
mid point = (-9 - 4 / 2, 8 - 2 / 2)
mid point = (-13 / 2 , 6 / 2)
mid point = (-6.5, 3)
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the distance time graph represents a journey made by jo at the speed was jo walking for the first 15 minutes
The speed that Jo walked for the first 15 minutes is; 6 km/hr
How to Interpret Distance Time Graphs?The distance - time graph is missing and so i have attached it.
Now, the formula for speed is;
Speed = Distance/time
The distance after 15 minutes from the graph is 1.5km.
Now, 15 minutes when converted to hours is 15/60 = ¹/₄ hr
Thus, the speed that Jo walked for the first 15 minutes is;
Speed = 1.5/(¹/₄)
Speed = 6 km/hr
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Sonam says that the 20th figure in this pattern has 400 small triangles. do you agree? explain your thinking.
Answer:
No. There should be 210 small triangles
Step-by-step explanation:
The number of small triangles in these figures forms a sequence
Fig No Small Triangles
1 1
2 3 (1+2)
3 6 (1+2+3)
So the nth figure should have 1+2+3+.....+(n-1)+ n
1+2+3+.....+(n-1)+ n = [tex]\frac{n (n-1)}{2}[/tex]
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210
The function f(x) = x² has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)² + 4
O g(x) = (x + 9)²-4
Og(x)=(x-4)² +9
Og(x) = (x+4)² +9
Answer:
g(x) = (x-4)² +9
Step-by-step explanation:
If f(x) is moved up 9 units, it becomes x² + 9, as only the 'y' value is changed by 9. Then, if it is moved 4 units to the right, it becomes (x+4)² +9, as only the 'x' value is changed by -4.
The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,
⇒ g(x) = (x-4)² + 9.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Now, To translate the function f(x) = x² with 9 units up and 4 units to the right, we need to use the following formula:
⇒ g(x) = f (x - 4) + 9
Substituting f(x) with its equivalent form:
⇒ g(x) = ( x - 4 )² + 9
Therefore, The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,
⇒ g(x) = (x-4)² + 9.
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Volume and surface area rectangular prism
13 in 7in 7in
The Volume and Surface Area of Prism is 462 in² and 637 in³.
What is Prism?
Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.
Surface area of rectangular prism,
= 2( lb +bh +lh)
= 2 ( 13*7 + 7*7+ 13*7)
=2*231
= 462 in²
Now, Volume,
= bhl
= 13*7*7
= 637 in³
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If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.
Answer:
y = 2
Step-by-step explanation:
Y varies indirectly with x (as x gets bigger, y gets smaller)
You have to find k, the constant of proportionality.
y = [tex]\frac{k}{x}[/tex]
Plus in the x & y values you are given
58 = [tex]\frac{k}{9}[/tex] Multiply both sides by 9 to solve for k
k= 522
Now plug in the new value of x to solve for y
y = [tex]\frac{522}{261}[/tex]
y = 2
PLLLEAASSEE HELP ME!!
AND IF YOU DON"T MIND EXPLANING TO ME HOW TO SLOVE THESIS TYPE OF PROBLEMS CAUSE IM SO CONFUSED
Answer:
75 Seconds
Step-by-step explanation:
First divide 90,000 by 16 then square root that answer for 75 and when you plug it in you'll end up with -90,000 + 90,000
The length of a conference room is one and a half times its width. There is a carpet in the
centre of the room. The length of the carpet is twice its width. This leaves a 3m wide
border around the edges of the carpet. Find the area of the carpet.
The Area of carpet for the given dimension is 72m².
What is Area of rectangle?Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.
Let the width of the room w = x m
and the length, L = 1.5x
Length of carpet + 6 = length of room
2(x-6)+6=1.5x
2x-12+6=1.5x
0.5x=6
x = 6 / 0.5
x = 12
length of room x = 12 m
width of room = 18 m
18-6 by 12-6 = 12 by 6 dimensions of carpet
Area of carpet = 12 X 6=72 m²
Thus, the Area of carpet for the given dimension is 72m².
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work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
We need radius
πr²h=1715πr²(18)=1715r²=30.3r=5.5cmNow
LSA
2πrh2π(5.5)(18)11(18)(3.14)198(3.14)622.72cm²Answer:
813.4 cm² (nearest tenth)
Step-by-step explanation:
Volume of a cylinder
[tex]\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
h = 18cmV = 1715 cm³Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:
[tex]\implies \sf 1715=\pi r^2 (18)[/tex]
[tex]\implies \sf r^2=\dfrac{1715}{18 \pi}[/tex]
[tex]\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}[/tex]
Surface Area of a Cylinder
[tex]\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Substitute the given value of h and the found value of r into the formula and solve for SA:
[tex]\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)[/tex]
[tex]\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)[/tex]
[tex]\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)[/tex]
[tex]\implies \sf SA=813.3908956...[/tex]
Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)
Please help me answer question 7/11 asap
The value of a₃₃ is 1.
What is Matrices?Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.
Here, aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.
So, a₄₃ means element from 4th row and 3rd column.
3rd row = [6 7 1 8]
3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]
the common value between them is 1.
Thus, the value of a₃₃ is 1.
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Jamie is interested in taking dance lessons, but she would have to pay $35 for balet shoes and also pay $20 per hour. write an ssion that represents jamies total cost in terms of h
Given parallelogram ABCD and AB || CD, if mAB = -5 then mCD must be:
A)-5
B)
- 1
——
5
C) 5
D) 1
—
5
The slope of CD, which is parallel to AB must be: A. -5.
What is the Slope of Parallel Segments?If two line segments are parallel to each other, their slope value (m) would be equal to each other.
Side AB and CD in the parallelogram are parallel segments, therefore, their slope (m) would be the same.
Slope (m) of AB = -5, therefore, the slope of CD must be: A. -5.
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Can someone help me with this?
D option is correct by SSS congruence rule
The tree diagram represents an experiment consisting of two trials. (Enter the probability to the hundredths place. Do not round.)
.6, A, .3, C, .7, D,
.4, B, .2, C, .8, D
P(D) = [ ? ]
please no links
Answer:
0.74
Step-by-step explanation:
A tree diagram is a visual way of showing combinations of two or more events. The outcome of each branch is labelled at the end of the branch line and its probability is written alongside the branch.
To calculate the probabilities of each combination, follow the branches and multiply the probabilities together.
There are two possible combinations to get a final outcome of D:
A and D = 0.6 × 0.7 = 0.42B and D = 0.4 × 0.8 = 0.32Therefore, the probability of D is:
⇒ P(D) = P(A and D) OR P(B and D):
⇒ P(D) = 0.42 + 0.32
⇒ P(D) = 0.74
I just asked a question and this user name venus1234 deleted it for "Violating the Brainly Code" blah blah blah..............Here's the question. Points A and B are on a line with a slope that is . Point C is on the same line. Which could be the ratio of rise to run between points B and C? A. 9/12 B. 8/5 C. 14/17 D. 15/24 please hurry! :) thats all and I apparently "violated the code" I don't understand Isn't this a site for asking questions?
The ratio of rise to run between points B and C is the same as the slope of line AB
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Slope of a line = ratio of rise to run = rise / run
Hence:
The ratio of rise to run between points B and C is the same as the slope of line AB
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Philippa threw some darts. Her minimum score was 5 and
her maximum score was 53. What was the range of her
scores?
Min = 5
Max = 53
Range = ?
Solve for x :
[tex] \sf \: \: \: \: \: \: \: \: \: \: \: 29x + x = 30[/tex]
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \tiny \sf bluh... \: \: so \: \: boring[/tex]
Answer:
x = 1
Step-by-step explanation:
Step 1: Combine like terms.
[tex](29x + x) = (30)[/tex] [tex]30x=30[/tex]Step 2: Divide both sides by 30.
[tex]30x/30=30/30[/tex] [tex]x=1[/tex]Step 3: Check if solution is correct.
[tex]29(1)+(1)=30[/tex] [tex]29+1=30[/tex] [tex]30=30[/tex]Therefore, x = 1.
Solution: X=1
[tex]\searrow[/tex]
Detailed explanation:
Here we need to solve for x. x is our unknown. It's what we should find.
[tex]\searrow[/tex]
Note right up front that we can add the x's. This is a process that is known as "Combining Like Terms". We can combine them by adding, like here.
[tex]\twoheadrightarrow\sf 29x+x=30[/tex]
"x" is the same as 1x.
[tex]\twoheadrightarrow\sf 30x=30[/tex]
We're getting closer to finding the value of the unknown!
Now we know that if we multiply 30 times the unknown, we will get 30.
What will we get if we multiply 1 times the unknown? 1 is what we will obtain upon dividing by 30.
So our unknown, or x, is 1.
Voila! There's our answer!
Cheers! ^-^_____________________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
_____________________________
round 68.321 to the nearest tenth
Answer:
When 68.321 rounded to the nearest tenth the result is 68
Jada is comparing membership costs for two gyms. What is the difference in membership costs after m months if she joins Be strong instead of Zippy Health Club?
Write an expression for each membership cost for m months and subtract them.
Answer: Difference in membership costs after m months = -($24.96m + $34.94)
Step-by-step explanation:
Cost of Zippy health club = $49.95 + $19.95 per month
Cost of Be strong = $24.99 per month and $10 off the first month
Total cost after m months of Zippy health club = $49.95 + $19.95m
Total cost after m months of Be strong = $24.99 (m - 1) + $ 10
Difference in membership costs after m months ={ $24.99m - $24.99 + $10 ]-[$49.95m + $19.95}
=$(24.99 - 49.95) m -$14.99 - $19.95
= -$24.96m - $34.94
=-($24.96m + $34.94)
So Difference in membership costs after m months =-($24.96m + $34.94)
therefore jada have to pay more if she joins Be strong.
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What is the slope of the line represented by the equation f(x) = -47
2x 4₂
-4
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: slope \:\: of \:\: line = \cfrac{3}{2}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The equation of line is written in slope - intercept form
[tex]\qquad \tt \rightarrow \: f(x) = \dfrac{3}{2} x - 4[/tex]
if we compare it with general slope - intercept equation of line :
[tex]\qquad \tt \rightarrow \: f(x) = mx + c[/tex]
[ m represents slope of line ]
[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]\frac32[/tex]
Step-by-step explanation:
Hello!
An equation of a line is usually written in slope-intercept form.
Slope Intercept Form: [tex]y = mx + b[/tex]
m = slopeb = y-interceptIf we compare our given equation with the format:
m = [tex]\frac32[/tex]b = -4This means that [tex]\frac32[/tex] would be our slope for the line.
can it be solve pq(r²+1)-r(p²+q²)
Answer:
pqr²+pr-rp²+rq²
Step-by-step explanation:
pq(r²+1)-r(p²+q²)
pqr²+pr-rp²+rq²
If side b measures 5√3, what is the length of side c?
Answer:
10
Step-by-step explanation:
cos(30) = b / c
c = b / cos(30)
c = 5xsqrt(3) / 0.866
c = 10
[tex]\frac{16x^{2} y^5}{(-4x^-6)( y^8)}[/tex]
simplify
For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
for the point (16,12) find sin theta and cos theta
Answer:
sinθ = 3/5cosθ = 4/5
Given Point (16, 12) To find Sine and cosine of the angle, using the given coordinatesSolution
Since both of the coordinates are positive, we have:
the angle θ is in the first quadrant, both sine and cosine have positive values;the x-coordinate determines the value of adjacent leg;the y-coordinate determines the value of opposite leg.Find the hypotenuse of the right triangle using values of both legs:
[tex]h=\sqrt{ x^2+y^2}=\sqrt{16^2+12^2}= \sqrt{400} =20[/tex]Find sine:
sine = opposite/hypotenusesinθ = 12/20 = 3/5Find cosine:
cosine = adjacent/hypotenusecosθ = 16/20 = 4/5Rewrite the rational exponent as a radical exponent ^{^3\sqrt{2^7}}
Answer:
4 ^3sqrt(2)
Step-by-step explanation:
two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.
Graph the inequality.
-6 ≤y + 2x < 15
Inequalities help us to compare two unequal expressions. The correct option is B.
What are inequalities?
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality -6 ≤y + 2x < 15 can be broken into two small inequality, as shown below.
Now, if we plot the inequality as shown below, then the area in which both the shaded region overlap is the area of the this inequality.
Hence, the correct option is B.
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