Step-by-step explanation:
Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
What is Fraction?A fraction represents a part of a whole.
We need to calculate his typing speed for each attempt.
On his first attempt, Eli typed 180 words in [tex]1\frac{1}{2}[/tex] hours, which is the same as typing 120 words in 1 hour.
Therefore, his typing speed on the first attempt was 120 words per minute.
On his second attempt, Eli typed 180 words in [tex]1\frac{1}{5}[/tex] hour, which is the same as typing 150 words in 1 hour.
Therefore, his typing speed on the second attempt was 150 words per minute.
Comparing the two speeds, we see that Eli was faster on his second attempt, typing 150 words per minute compared to 120 words per minute on his first attempt.
Therefore, Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
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A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
[tex]y=-0.0625x^2+1.25x+5.75[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]
Equating with zero
[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]
Double derivative of the equation
[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]
So, the function is maximum at [tex]x=10[/tex]
[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]
The function is maximum at [tex](10,12)[/tex]
So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.
Now truck is 11 feet tall so [tex]y=11[/tex]
[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]
The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
Please help I have no idea what the answer is
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
Enter the ordered pair for the vertices for (Ry-axis ○ T(2, 0))(QRST).
Answer:
The answer is:
[tex]Q' = (-3, 3)\\\\R' = (-5, -3)\\\\S' = (-2, -2)\\\\T' = (0, 1)\\\\[/tex]
Step-by-step explanation:
All vertices of its quadrilateral were co-ordinated;
[tex]T(-2, 1), \ Q(1, 3), \ S(0, -2), \ R(3, -3)[/tex] Therefore, we first undertake the operation correct: [tex]T(2, 0) \ QRST[/tex], there;
[tex]T(2, 0) \ QRST[/tex] [tex]\to T(-2 + 2, 1), \ Q(1 + 2, 3), \ S(0 + 2, -2), \ R(3 + 2, -3)[/tex]
[tex]T(2, 0) \ QRST[/tex][tex]\to T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)[/tex]
A preimage (x, y) will be the image in the next phase R-y-axis reflecting mostly on the y-axis (-x, y) and we've got it;
R y-axis [tex](T(0, 1), \ Q(3, 3), \ S(2, -2), \ R(5, -3)) = \ T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2), \ R'(-5, -3)[/tex]From which we get [tex](Ry-axis \ T(2, 0)) \ (QRST = T'(0, 1), \ Q'(-3, 3), \ S'(-2, -2),\ R'(-5,-3).[/tex]
What is 4+3?
Giving points back to the community!
Answer:
10004
Step-by-step explanation:
An athlete runs 1 mile in 5 minutes 52 seconds. What is her/his average speed in feet per second!
Answer: The answer is B 12
Step-by-step explanation:
4 4/5 What decimal should the digital scale show?
Answer: 4.8
Hope this helped!
What is the y-intercept of the line 7x - 5y = 35
Answer:
(0,-7) is the answer
8 Find RT.
R
Р
S
15x - 17
23- 6
Q
T
Answer:
RT = 86
Step-by-step explanation:
23x - 6 = 2(15x - 17)
23x - 6 = 30x - 34
23x - 30x = - 34 + 6
-7x = -28 |÷(-7)
x = 4
RT = 23x - 6 = 23 × 4 - 6 = 92 - 6 = 86
Can someone really help me pls
Answer:
7 units down
Step-by-step explanation:
it goes from 0 as intercept to -7
Answer:
in my opinion I would say your answer should be -7
a ship leaves port and travels 40 miles due north, then changes course to n35e and travels for 50 more miles
Answer:
Ok so the problem is what are we looking for how many miles was traveled? or what
Can someone tell me the answers for all 10 questions
Answer:
18x+8
-48x-24
4x+5
-48x-18
6x-16
30x-10
-24x+8
30x-10
10x-2
-9x+6
The answeres are in ordered so you dont get comfused.
I hope this help you! :)
-18y+7yz-4z how many terms does this expression have?
Answer: 4
Step-by-step explanation:
I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE!!!!!!!
Answer:
Step-by-step explanation:
263
273
237
267
627
623
673
637
327
367
763
723
I dunno anymore. 12
Tom collects 20 crayons from his sister.
One of the crayons is the color red.
Find the percentage of crayons that are colored red in the bundle that Tom collected.
Answer:
5%
1 of the 20 crayons is red, so...
1/20 = 5% or 0.05
Answer: 5%
Step-by-step explanation:
Which of the following describes the correct first step in solving the equation 2x - 7 = 5?
Answer:
Adding 7 to both sides of the equal sign
Step-by-step explanation:
571 x ?
I don’t know
what I’m doing wrong !
Please answer this the way it’s shown thanks
Answer:
5
571
x 38
---------
4,568 <------571×
+3,213x <------571x
------------
36,698
135 is 53% of what number? (You may use exact answers or round to
the nearest tenth.)
PLS HELP
Answer:
The answer is 254.72
Step-by-step explanation:
hope that helps
Change 53% to a decimal. Doing so, we get 0.53.
Let n = the number we are looking for.
The word "is" in math means to use the equal sign.
135 = 0.53n
Divide both sides by 0.53.
135/0.53 = 0.53n/0.53
254.7169811321 = n
Rounding to the nearest tenths, we get
n = 254.72
Done!
Identify the slope of each of the following equations.
(a) y = 4/5x + 3
(b) y = -x + 1
(c) y = 2x
And what is the y-intercept of equation (c)?
Answer:
Please see the explanation.
Step-by-step explanation:
As we know that the slope-intercept form of the equation is
[tex]y=mx+b[/tex]
where m is the slopeb is the y-interceptNow, comparing the given equations with the slope-intercept form
a) y = 4/5x + 3
Here:
m = 4/5
Therefore, the slope of the equation y = 4/5x + 3 is: m = 4/5
b) y = -x + 1
Here:
m = -1
Therefore, the slope of the equation y = -x + 1 is: m = -1
b) y = 2x
Here:
m = 2
y-intercept = b = 0 ∵ y = mx+b here b is the y-intercept
Therefore, the slope of the equation y = 2x is:
m = 2 and
y-intercept = b = 0
find the quotient : 83)967
Answer:
quoitent will be 0.086368
hope it help u dear
What’s the answer to the inequality? Will give brainliest!
Answer:
She must ride 4 or more times
Step-by-step explanation:
3t+ 10 ≥22
Subtract 10 from each side
3t+ 10-10 ≥22-10
3t ≥12
Divide each side by 3
3t/3 ≥12/3
t ≥4
She must ride 4 or more times
Bank A offers to pay you 3.5% annual interest if you deposit $500 for one year. Bank B will pay you 1.25% annual interest if you deposit $600 for one year. Which bank do you think will pay more to deposit your money over the course of a year?
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36. Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?
Answer:
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?
✔ 6
Step-by-step explanation:
got it right on edge
what is the gcf of 12 and 8
-1.6x - 3.2y=-24
2.6x + 2.6y = 26
The solution is (
Answer:
[tex]x=5\\y=5[/tex]
Step-by-step explanation:
I solved using substitution
−1.6x−3.2y=−24
−1.6x=−24+3.2y
−1.6x=3.2y−24
[tex]x=-\frac{3.2y-24}{1.6\\}[/tex]
2.6x+2.6y=26
−2.6y+39=26
−2.6y+39=26
−2.6y=26−39
−2.6y=−13
y =5
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
-2/5x-9<9/10
Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
answer in terms of .
23 cm
22.8 cm
The lateral area is
It cm?
The surface area is
a cm?
9514 1404 393
Answer:
262.2π cm²392.16π cm²Step-by-step explanation:
The lateral surface area is the product of half the circumference, and the slant height:
LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²
The total surface area adds the area of the base to that:
A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²
A = 392.16π cm²
Pumpkins at the pumpkin patch cost $3 for a small or $5 per large. On Saturday, they collected $105 and a total of 29 pumpkins sold. Create the two equations that would represent this system and type them in below: *
Let, number of small and big pumpkin are x and y.
So, mathematical equation is given by :
x + y = 29 ...1)
3x + 5y = 105 ...2)
Putting value of x from equation 1 to equation 2, we get :
[tex]3(29-y ) +5y=105\\\\2y = 18\\\\y = 9[/tex]
So, x = 20
Therefore, number of small and large pumpkins are 20 and 9 respectively.
Hence, this is the required solution.
Which of the following is true regarding the graph of the function f (x) = e"?
A The domain is I > 0 and the range is y > 0.
В.
The domain is a > 0 and the range is all real numbers.
C
The domain is all real numbers and the range is y > 0
D.
The domain is all real numbers and the range is all real numbers.
The domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.
What are a range and domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given function [tex]e^x[/tex] when we plot the graph of the function it is observed that all the graph of the function varies in the positive part of y. The ranges of the function lie at y > 0 and the domain will be all the real numbers.
Therefore the domain and the range of the function F(x) = [tex]e^x[/tex] will be domain is all real numbers and the range is y > 0. The correct option is C.
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John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table
Approximate Value=100$
Exact Value= 75$
Error = 25$
Absolute Error= 25$
Ratio= e
Percent Error= f
What is the ratio?
e =________
A. 25/100
B. 25/75
C. 75/100
D. -25/75
What is the percent error?
f =_______
A. 33%
B. 25%
C. 75%
D. 83%
Answer:
e= 25/75
f= 33%
Step-by-step explanation:
I got it right!!
Answer:
e = 25/75 ?
f = 33%
Step-by-step explanation:
i did this and i think i got right, but let me know if its wrong :)
find the value of x 6/5 = - 18/x
Answer:
-1/5
Step-by-step explanation:
6/5=-18/x
6/5×-1/18=x
-1/15=x
Answer:
-15
Step-by-step explanation:
[tex]\frac{6}{5} = \frac{-18}{x}[/tex]
cross multiply
6 × x = -18 × 5
6x = -90
x = -90/6
x = -15
hope this helps you!