Answer:
g(x) = 7√x
Step-by-step explanation:
Parent function: f(x) = √x
Parent function vertically stretched by a factor of 7: g(x) = 7√x
The equation of the new function is 7√x.
What is a scale factor?Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.
For the given situation,
The equation is F(x) = √x
The parent function is vertically stretched by 7 units.
So, the new function is
⇒ [tex]7(\sqrt{x} )[/tex]
⇒ [tex]7\sqrt{x}[/tex]
Hence we can conclude that the equation of the new function is 7√x.
Learn more about scale factor here
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A small box can hold 5 chocolates and a big box can hold 12 chocolates. A factory produces 600 chocolates and packs them into boxes.
A. Write and equation to describe the situation.
B. If the factory owner uses 40 big boxes, how many small boxes does he use?
Answer:
Answer to B - 20
480 + 96 = 600
Step-by-step explanation:
12 x 40 = 480
5 x 4 = 20
PLESE HELP ME! WILL GIVE BRAINLIEST!
Find the area of the shaded regions.
Answer:
[tex]A=41.86 cm^{2}[/tex]
Step-by-step explanation:
The area of the shaded regions= [tex]\frac{0}{360}* \pi [(4)^{2}-(3)^{2}][/tex]
[tex]=\frac{120}{360} *3.14*(10)(4)\\[/tex]
[tex]=\frac{3.14*10*4}{3}[/tex]
[tex]A=41.86 cm^{2}[/tex]
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hope it helps...
have a great day!!
A rectangle has side measurements of 12 units and 8 units. What is the approximate measure of a diagonal that cuts through the rectangle?
Answer:
14.4
Step-by-step explanation:
pythagorean theorem
I need help with this question ( see image). Please show workings.
Answer:
Percentage of the garden that is used to make the pond = 53.8%
Step-by-step explanation:
Area of a garden = 104 m^2
Area of a garden = 104 m^2Area of a pond = 56 m^2
Percentage of the garden that is used to make the pond
= (56/104) × 100%
= 53.8%
Hope this Helps!!!
simplify the following.
Answer:
19 /64
Step-by-step explanation:
Multiply whole numbers to get rid of the fractions
Then cancel the common factor.
I lhes New Roman
16px
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6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?
Answer:
No,the pizza will not fit in the box
Step-by-step explanation:
Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box
to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²300 = 3.142 × r²[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inchesFelix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answer:
0.068% or 6.8% this will be your final answer
find the total surface area of the following square pyramid
Answer:
area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
uh can someone help me with this please I'm confused ughhh I missed school for two weeks and dk how to do this
Answer:
35
Step-by-step explanation:
Top box equals 10
(5x2)
Middle box equals 15
(5-2+2) x 3
Bottom box equals 10
(5x2)
Answer:
35 in sq.
Step-by-step explanation:
Find the area of each rectangle and add them together.
Area of a rectangle = length*height
Top rectangle: This one is easy. Length=2 Width=5
5*2=10
Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.
Length=3 Width=5
5*3=15
Bottom rectangle: This one is also easy. Length=2 Width=5
2*5=10
10+15+10=35 in sq.
Peyton is going to invest $71,000 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Peyton to end up with $106,000?
Answer:
2.23
Step-by-step explanation:
What is 28/20 simplified? And what is 20/28 simplified
Answer:
Step-by-step explanation:
What is 28/20 Simplified? -
7/5 is the simplified fraction for 28/20.
5/7 is the simplified fraction for 20/28
Answer:
28/20 would be 14/10 which would be 1 and 4/10.
20/28 would be 10/14 which would be 5/7
Step-by-step explanation:
you just cut it in half until you can't anymore.
PLS HELPP!!!!
Find f(-5) if f(x)=|x+1|
a.6
b.5
c.4
Solve each problem.
29. It is 385 miles from Al's house
to his grandparents' house. It
takes Al's family 7 hours to
drive there. What is their rate
of speed in miles per hour?
Answer:
rate is 55 i think
Step-by-step explanation:
take 385 ÷ 7 and you get how far they travel in one hour
since the triangle is
a.right
b.isosceles
c.equilateral
Step-by-step explanation:
plz write full question
Answer:
I need a more information
Step-by-step explanation:
The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Answer:
Step-by-step explanation:
Let consecutive odd integers be (2x + 1) and (2x + 3)
Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex] and [tex]\frac{1}{2x + 3 }[/tex]
[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]
483*(4x+4) = 44*(4x² + 8x + 3)
483*4x + 483*4 = 44*4x² + 44*8x + 44*3
1932x + 1932 = 176x² + 352x + 132
176x² + 352x + 132 -1932x - 1932 = 0
Combine like terms
176x² + 352x - 1932x - 1932 + 132 = 0
176x² - 1580x - 1800 = 0
Divide the equation by 4
44x² - 395x - 450 = 0
which set of numbers can represent lengths of the sides of a triangle? A. 1,3,4 B. 3,5,8 C.4,4,9 D. 5,7,9
Answer:
c
Step-by-step explanation:
4 4 9
sum of 2 sides of a triangle should be greater than the third side.
A parabola opening up or down has vertex (0, 0) and passes through (-6,-9).
Write its equation in vertex form.
Simplify any fractions
Answer:
the formula is 1.5x^2
Step-by-step explanation:
Since the vertex is 0,0 h and k are both 0
then you plug in the -6 and -9 to the equation
a(-6)=-9
3/2(x)^2
hope that answers your question
am I correct and do I write a=-2 or negative,2 will be better
Answer: a=-2 is better
Step-by-step explanation:
Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that ap...
Answer:
a quadratic equation has no real number solutions than the discriminant is less than zero
D < 0
(b^2 -4ac) < 0
(9 -4(-1*c) < 0
(9+4c) < 0
4c < -9
c < -9/4
hope this will help you
Step-by-step explanation:
If 10 sandwiches cost $36.20, how much will 7 sandwiches cost?
Answer is 25.34
You just have to divide 36.20 by 10 which is 3.62 and then you multiply 7
-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of the expression?
Answer: =−3/5
Step-by-step explanation: Hope this help :D
For a biology assignment, Christopher records the height of a plant
over time. The plant was 18 cm tall when he started the assignment. He
notices that the plant grows 4 cm every week.
I need it now!!
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats. Soccer Cleats cost: $36.00
Answer:
You would need 48
Step-by-step explanation:
divide 36.00/0.75
Find the area of each composite figure.
Round to the nearest TENTH if necessary.
Answer:
Step-by-step explanation:
what percent is 25 is 4 plz help
Answer: 16%
Step-by-step explanation:
4:25*100 =
(4*100):25 =
400:25 = 16
help me outttt, thank you so much whoever does :))
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Can someone help me with this problem
¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque
Answer:
Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.
Step-by-step explanation:
Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.
Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.
Find the surface area and volume for each pyramid
Answer:
the answer is 95.2
plz give brainliest
Answer:
volume = 4468.8 m3
surface area = 2021.6 m2
Mrs. Long keeps a garden in her backyard. The garden is in the shape of a rectangle. The garden is 27 feet wide. If the perimeter of the garden is 200 feet, what is the length of Mrs. Long’s garden
Answer:
so Area = length x width
Area = 450, width = 9
450 = 9 x length
divide 450 by 9, and you have the length.
Perimeter = length + length+ 9 + 9
and you got your perimeter!
Step-by-step explanation: