Answer:
8
Step-by-step explanation:
value
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
fiona´s laptop computer weighs 2.5 kilograms. What is the weight of the computer in grams?
Answer:
2,500 grams
Step-by-step explanation:
2.5 kilograms = 2,500
Therefore, the laptop is 2,500 kilograms.
hope i helped
Find the slope intercept equation of the line
Answer:
y=1/5x+0
Step-by-step explanation:
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?
Answer:
its scale factor is 3
Step-by-step explanation:
plz mark brainliest
To map the dilated image back onto the original figure, the scale factor needed is 7.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a factor.
If a figure is dilated from the origin by a scale factor of one seventh, it is given by:
(x, y) ⇒ [(1/7)x, (1/7)y]
To map the dilated image back onto the original figure, the scale factor needed is 7. Hence:
[(1/7)x, (1/7)y] ⇒ (x, y)
Find out more at: https://brainly.com/question/11707700
Dan brought 36 vanilla cupcakes and 49 chocolate cupcakes to his school bake sale. Then his friend brought 5 more cupcakes. How many total cupcakes did the bake sale have to sell?
Answer:
90
Step-by-step explanation:
Answer:
90 cupcakes
Step-by-step explanation:
So, to solve this question all we have to do is add the number of cupcakes that Dan brought and the number of cupcakes that his friend bought.
So the expression would look like this:
36 + 49 + 5 = 90
So, in conclusion, the bake sale had 90 cupcakes to sell
plz mark me brainliest if correct :)
Pls help me I’ll brainlest
Answer: Did, Are Changed , Did not change
Step-by-step explanation:
In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯.
What is CE?
Enter your answer in the box.
m
A triangle with vertices labeled as A, B, and C. Side B C is base. Sides A B and A C contain points D and E, respectively. A line segment is drawn from D to E. Side A D is labeled 2 meters. Side D B is labeled 10 meters. Side A E is labeled 3 meters. Base B C and line segment D E are marked with arrows pointing the same direction.
Answer:
15
Step-by-step explanation:
The answer is 15!
I've taken the test. Hope this helps
A person was modeling a declining population with a decay factor of 0.5 using pennies. They started with 100 pennies and flipped all 100 pennies. Any pennies that landed on tails were removed. Then, the remaining pennies are flipped again and again the ones landing on tails were removed. The process is repeated until no pennies are left. How many flips is the most reasonable expectation for when this model should reach 0 pennies?
4 flips
8 flips
12 flips
16 flips
Answer: 8 flips
Step-by-step explanation:
The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38
Answer:
D
Step-by-step explanation:
Answer: the answer should be 90 :)
what ratio language to describe the relationship of any two things you can think of
Answer:
The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.
She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.
Step-by-step explanation:
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.
on the medicine bottle it says 2 grams for a 60 lb person. the child weighs 105 lbs. how much medicine should they get?
Please help fast!!
Answer:
3.5 Grams
Step-by-step
set 2grams/60lbs equal to xgrams/105
x representing the amount of medicine needed for a 105lb child
Then you divide 60 by 105.
60/105=1.75
Now you multiply 2 by 1.75.
2 x 1.75 = 3.5
3.5 is your answer because 105 is 1.75 times more lbs than 60lbs
meaning you would need 1.75 times the amount of 2grams
to determine the value of x, which is 3.5grams
Which table of values represents a linear function? A B Y y y 0 7 8 7 1 1 3. --- 2 5 2 -1 4 3 3 -4 7 2 С D 2 y y 3 -2 =7 3 5 -1 -5 2 7 1 0 1 1 9 3 4 -3
Answer:
it c for sure
Question 2
20 pts
Michelle deposits $750 into a new bank account that earns 2.5% simple interest per
year. What is the total amount in the account
after 3 years?
$56.25
$806.25
$45
$4500
Answer:
see answer above for your question
On a winter morning, the temperature in pittsburgh is -13
Which of the following is 3x²/12x simplified?
3x/12
x/4
x/3
x²/4x
Answer:
I think it is the last one
Step-by-step explanation:
Which polynomial function could be represented by the graph below? Help please
Answer:
[tex]f(x)=2x^2+2x-4[/tex]
Step-by-step explanation:
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] [tex]\frac{25}{100}[/tex] × [tex]\frac{96}{1}[/tex] = [tex]\frac{2400}{100}[/tex] [tex]\frac{2400}{100} = 24[/tex] $96 - $24 = $72I hope this helps!
What is the slope of the line below?
Sven has a mass of 135.0 grams. On Olaf’s scale, Sven weighs 139 grams. What is the percent error of Olaf’s scale?
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
Answer:
2739
Step-by-step explanation:
3000-(52+276:8)-(1750:10)
3000-(52+34)-175
3000-86-175=2739
Which number line represents the graph of the solution to the inequality 27 + 4.5x 2 81?
Answer: =27+1264.5x
Step-by-step explanation: It bascially explains itself
Which expressions have a value of 16/81? Check all that apply.
Answer:
2) 4/9
Step-by-step explanation:
well when you simplify you will get this awnser.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]
[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]
[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]
[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]
[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]
[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]
[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Joshua finished the mile race in 22.7 minutes. Blake finished the race 8 3/10 minutes sooner than Joshua finished it. How many minutes did it take Blake to finish the race?
Answer:
31 mins
Step-by-step explanation:
22.7+8 3/10=31 mins
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
What is the answer to f(1)= ?
Answer:
f(1) = 1
Step-by-step explanation:
To go 1 on the x-axis and check to see where it is on the y-axis. In this case, when x = 1, y = 1.
Therefore, f(1) = 1.
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
BRAINLIEST IF ANSWER
Whats 6 X 1 X + 5 X 1/10 in standard form and someone pls
