Answer:
g(x) = -4x^2 +(45/2)x +6
Step-by-step explanation:
A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).
g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6
g(x) = -4x^2 +(45/2)x +6
A half circle is joined to an equilateral triangle with side lengths of 12 units.
What is the perimeter of the resulting shape? Type your answer in the box below.
Answer:
P = 12 pi units + 24 units.
Step-by-step explanation:
All sides of an equilateral triangle are of the same length. Here that length is 12 units. We take a circle of diameter 12 units and cut it in half through its center. Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.
The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units. This is half the formula C = 2(pi)(r). The two non-attached sides of the triangle have a total length of 24 units.
Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.
Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?
Answer:
A. [tex]8cm^{3}[/tex] B. Yes
Step-by-step explanation:
2*2*2=8cm cubed
8*12*10=960 which is greater than 800
Answer:
Step-by-step explanation:
2 x 2 x 2 = 8
the volume is 8 cm^3
8 x 12 x 10 = 960 cm^3
8 / 2 = 4
12 / 2 = 6
10 / 2 = 5
4 x 6 x 5 = 120
you can fit up to 120 cubes into the container
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?
Answer:
[tex]y=3x+37[/tex]
Step-by-step explanation:
Determine slope:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]49=3(4)+b[/tex]
[tex]49=12+b[/tex]
[tex]37=b[/tex]
Final equation:
[tex]y=3x+37[/tex]
Katherine Johnson is best known for her work on ________.
Answer:
Pretty sure she was best known for calculating flight paths of spacecraft.
An account earns 8.4% interest compounded monthly. If 12,000 is invested in the account initially, how much
interest is earned in this account over a 25 year period?
Answer:
$30,2400
Step-by-step explanation:
First, we need to find how much interest he earns in a month
8.4% of $12,000 = $1,008
Next, we multiply the amount of interest per month by the number of months in 25 years
25 years = 300 months
Now we can multiply the two values to get our final answer
1,008 x 300 = $30,2400
Plzzz help me it’s due tonight!!!!!
Answer:
UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60
Step-by-step explanation:
sin 30=UV/10=>0.5=UV/10=>UV=5
VW=√(10²-5²)=√75=5√3
m∠U=180-90-30=60
solve the equation. 2(3x-4)=3x+1
Answer:
x=3
Step-by-step explanation:
C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.
Answer:
-23.33 °C
Step-by-step explanation:
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.3333 ≈ -23.33 °C
hope it helps :)
mark brainliest!
What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)
please answer asap
Gloria likes to knit scarves to give as gifts to her friends and family. She can knit 1 over 4. of a scarf in 3 over 4. of an hour. If she continues to knit at the same rate, how many hours will it take her to knit 1 scarf?
Answer:
I don't know
Step-by-step explanation:
Gloria will knit 1 scarf in 3 hours.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Gloria likes to knit scarves to give as gifts to her friends and family.
She can knit 1 over 4 of a scarf in 3 over 4 of an hour.
Simplifying,
She can knit 1/4 of a scarf in 3/4 of an hour.
To find the time:
1/4 of a scarf in 3/4 of an hour.
Multiply by 4,
4 x 1/4 of a scarf in 4 x 3/4 of an hour.
1 scarf in 3 hours.
Therefore, she will take 3 hours to knit 1 scarf.
To learn more about the multiplication;
https://brainly.com/question/19634536
#SPJ5
Share 120 in the ratio 3:5:7
Answer:
24:40:56
Step-by-step explanation:
3+5+7=15
120/15=8 1 Ratio is 8
3x8=24
5x8=40
7X8=56
i dont know if its the easiest method
HELP HELP HELP HELP HELP What is the range of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
======================================================
Explanation:
The smallest data value is 13. This is due to the stem 1 and leaf 3.
The largest is 47. This is from the stem 4 and leaf 7.
The span between these items is 47-13 = 34
Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Step-by-step explanation:
a)
well, it is kind of written already :
228 miles and 6 gallons.
so, miles/gallon = 228/6 = 38 miles/gallon.
b)
it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.
so, again
38 miles/gallon
and he used 9 gallons.
so, he drove 38×9 = 342 miles
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
Learn more on fractions here: https://brainly.com/question/78672
#SPJ2
Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.
B. Compute the thickness of each piece of paper. Show your reasoning.
help me with this question plz with an explanation
Answer:
374mm squared
Step-by-step explanation:
Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13
the rest is 14*23, which equals 322mm
add those together to get 374mm squared
Answer:
374 square millimeters
Step-by-step explanation:
First, we can split the shape into 2 rectangles.
This will give us a rectangle with a width of 13 and 10.
Let's work out 1 rectangle at a time.
Area of a rectangle=Width times by legth
13*18=234- This is the area of 1 of the rectangles.
10*14=140- This is the area of the second rectangle
Now we add the areas together to get 374 square millimeters, which is the area of this figure.
A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?
This is so stressful, i’ve tried everything and I don’t get this at all.
The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Please help me!!!!
Answer:
3/5 kgStep-by-step explanation:
The weight of an object on Moon is 6 times smaller than same on Earth.
If it weights 18/5 kg on Earth then its weight on Moon is:
18/5 * 1/6 = 3/5 kgAnswer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
Choose the graph that matches the following system of equations:
x + y = 4
2x + 3y = 18
Picture of coordinate plane with line y equals negative x plus 4 and line y = equals negative 2 thirds x plus 6. They intersect at negative 6, 10.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x plus 6. They intersect at 6, 2.
Picture of coordinate plane with line y equals x minus 4 and line y equals negative 2 thirds x minus 6. They intersect at negative 1.2, negative 5.2.
Picture of coordinate plane with line y equals x plus 4 and line y equals negative 2x plus 6. They intersect at 0.67, 4.67.
Answer:
Line x-intersect: -6
y-intersect: 10
Step-by-step explanation:
X + y = 4
x = 4-y
2(4-y) + 3y = 18 (substitution)
8-2y+3y = 18
y = 18-8
y = 10
x + 10 = 4
x = -6
Please help me its due tommorow
Answer:
read below for answers
Step-by-step explanation:
7. 4d + 6 =42
d = 9
8. -3y + 12 = -48
y = 20
9. k/2 + 9 = 30
k = 42
10. g/3 - 7 = 15
g = 66
11. z/5 + 3 = -35
z = -190
12. -9h - 15 = 93
h = -12
13. -3(n + 5) = 12
n = -9
14. -17 + b/8 = 13
b = -32
15. 7( c- 12 ) = -21
c = 9
16. -3 + p/7 = -5
p = -14
17. 46 = -6t - 8
t = -9
Given that p²,q² are two roots of x²-x+16=0.
Form another equation with roots 1/p,1/q.
Answer:
x² -3/4x +1/4 = 0
Step-by-step explanation:
Consider the two equations in factored and expanded forms:
(x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0 ⇒ p²+q² = 1, p²q² = 16
and
(x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0
Consider the squares of the sum and product of roots:
constant term: (1/(pq))² = 1/(p²q²) = 1/16 ⇒ 1/(pq) = √(1/16) = 1/4
x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)
= (p² +q²)/(p²q²) +2/(pq)
= 1/16 +2/√16 = 9/16 ⇒ (1/p +1/q) = √(9/16) = 3/4
Then the equation with roots 1/p and 1/q is ...
x² -3/4x +1/4 = 0
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.
Question in picture
Answer:(-8,6) (-5,8
Step-by-step explanation:
PLS HELP ME I DON'T GET IT
Answer:
(a) $14,912 saved
(b) $58,000 aid needed
Step-by-step explanation:
(a)Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:
60 × $200 = $12,000
When she adds that to her current savings she will have saved a total of ...
$12,000 +2,912 = $14,912 . . . by the time she starts college
__
(b)The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...
$72,912 -14,912 = $58,000 . . . . amount of financial aid needed
100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20
Hi!
c < 10
This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.
c > 10
This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.
c < 20
This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.
c > 20
This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.
Hope this helps! Have a great day :D
Answer:
here are the answers
Step-by-step explanation:
Find the value of 3x+ 4 when x = 2
Answer:
3x+4, x=2
3(2)+4
6+4=10
Hello there! :-)
To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:
3x+4
3(2)+4
6+4
10
Therefore, the answer is 10.
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck with your studies. :)
Complete the table if x & y vary inversely
Answer:
(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)