Answer:
The hammer reaches the river after 15.8 seconds.
Step-by-step explanation:
The formula to find for how long it takes for the hammer to reach the ground is given by:
[tex]t = \frac{\sqrt{h}}{4}[/tex]
In which h is the initial height.
A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River.
This means that [tex]h = 4000[/tex].
So
[tex]t = \frac{\sqrt{4000}}{4}[/tex]
[tex]t^2 = \frac{4000}{16}[/tex]
[tex]t^2 = 250[/tex]
[tex]t = \sqrt{250}[/tex]
[tex]t = 15.8[/tex]
The hammer reaches the river after 15.8 seconds.
Water is leaking out of an inverted conical tank at a rate of 12,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm3/min) at which water is being pumped into the tank. (Round your answer to the nearest integer.)
Answer:
12500cm x3= 37500
6x3=18
37500+18=37518
need help ASAP Will mark u brainlyest
What base of this triangle
A. 10
B. 8
C. 80
D. 18
I gave Brainlist
Answer:
a is the base
Step-by-step explanation:
its right there
Evaluate c - 2 when c = 7.
Stuck? Watch a video or use a hint.
What is my final answer
Answer:
5
Step-by-step explanation:
Subtract 7-2=5.
Helpppppp cupcypcpuffpfuf
A to B: 1 inch
A to F: 2.5 inches
A to E: 1.5 inches
A to D: 0.5 inch
A to C: 2 inches
A to I: 3.5 inches
A to G: 3 inches
A to H: 4.5 inches
A to J: 4 inches
A to K: 5.5 inches
(sorry, I assumed it was in inches)
1/4( -1 + 4)+3/5 please help ME missing work!
Answer:
1.35
Step-by-step explanation:
I believe this is right but it could be wrong. Hope this helps! <3
Multiply and Simplify:
(5a+7b)(3a−8b)
Question 2 options:
15a2−19ab−56b2
15a2+21ab−56b2
15a2−56b2
15a2−40ab−56b2
need answer asap
Kristin is making balloon arrangements for her birthday party.
Blue balloons come in packs of 42, red balloons come in packs of 70,
and yellow balloons come in packs of 84.
What is the greatest number of arrangements she can make and how many
of each balloon will be in each arrangement?
(*Hint: Think Greatest Common Factor and use the Ladder Method to help you.*)
factorize by splitting the middle term 6x-11x+4
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
36 hours to 2 days
The ratio is
(Type an integer or a simplified fraction)
200 percent of d is 18 what is d please help this is a question i have been needing help on for a long time
Step-by-step explanation:
what do u mean ??
200 per cent of 8???
If that's so, 200/ 8 * 100 = 2,500
Answer:
9
Step-by-step explanation:
When we calculate percentages, we multiply the numbers divided by 100. Therefore, 200% is the same as ×2.
What are the next three terms in the sequence 1,7,13,19?
If you drive 5 miles east and then 4 miles south, how far are you, to the nearest tenth
of a mile from your starting point?
Answer:
6.4 miles
Step-by-step explanation:
5^2 + 4^2 = d^2
25 + 16 = d^2 = 41
d = 6.40 miles
The nearest tenth of a mile from your starting point is 6.4.
What is Pythagoras theorem?The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
How to write nearest tenth?To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.
According to the question
If you drive 5 miles east and then 4 miles south
We have to find the nearest tenth of a mile from your starting point
From the diagram, we have to use Pythagoras theorem
D = [tex]\sqrt{4^{2} +5^{2} }[/tex]
D = [tex]\sqrt{16+25}[/tex]
D = [tex]\sqrt{41}[/tex]
D = 6.40312
Round 6.40312 to the required nearest tenth
D = 6.4
Hence, The nearest tenth of a mile from your starting point is 6.4.
Find out more information about Pythagoras theorem here
https://brainly.com/question/343682
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Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
===============================================================
Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).
Answer:
No; the remainder is 0 so (x + 3) is not a factor
Step-by-step explanation:
What is the coefficient of the term 13a in the expression 13a + 6b? *
A. 1
B. 13
C. 7
D. 6
Answer:
The coefficient of the term 13a is, 13
Step-by-step explanation:
Coefficient term are the numbers that multiply the variables or letters
In the given expression:
13a means 13 times a , and a is the variable,
so 13 is the coefficient .
6b means 6 times b , and b is the variable ,
so 6 is the coefficient .
therefore, the coefficient of the term 13a in the given expression is, 13.
Answer:
13 and 6
Step-by-step explanation:
coefficents are the numbers behind a variable like a,x,y,b
hope this helped
Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answer:
$2,070 is how much she will use for bills.
Please answer soon!!!
Answer:
Answer is A easy A A A A A A A
Someone pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:6 songs
Step-by-step explanation:
I DONT KNOW WHAT IM DOING, PLEASE HELP
Answer:
you should check out Microsoft Math! It's a free app :)
Ethan says that if the diameter of a bicycle wheel is 3.5 feet then its
radius must be 1.75 feet. Is Ethan correct?
Answer: Yes he is correct
Explanation:
The radius is half the diameter
radius = diameter/2 = 3.5/2 = 1.75
Answer:
yes hes right.
Step-by-step explanation:
d = 2 x 1.75
d = 3.5
c = 2 x pi x 1.75
c = 3.5
ur answer is 3.5 ethans right
Tiy deposit $500 in a savings account that earns 7% interest compounded annually.
Find the missing side
Answer:
[tex]x = 38.77[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
In this case, it is:
[tex]sin(26) = \frac{17}{x}[/tex]
Make x the subject
[tex]x = \frac{17}{sin(26)}[/tex]
[tex]x = \frac{17}{0.4384}[/tex]
[tex]x = 38.77[/tex]
Pls help I’ll brainlest ASAP
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
More can be learned about median and quartiles at https://brainly.com/question/16169585
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Simplify completely*****
Answer:
[tex]\displaystyle \frac{2(x + 4)}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 16}{6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{4(x + 4)}{6}[/tex][Fraction] Reduce: [tex]\displaystyle \frac{2(x + 4)}{3}[/tex]How can you find the domain and range on this??
Answer:
1) Function
2) Set Notation
3) Domains: {-4, -2, -1, 1, 3, 4}
4) Ranges: {-3, -2, 0, 2, 3}
Step-by-step explanation:
1) This is a function because the x-values are NOT repeated, and it passes the vertical line test.
2) This is a set notation because it has the symbol --> { } and it is "help define the elements of a set." You can search up "set notation" and you would get the idea. However, this is not an inequality because in inequality you would have, ex: x < 4 ≤ x
3) Domains mean the x-intercept. Remember to list domains from least to greatest!
4) Range means y-intercept. Remember to list the ranges from least to greatest! If a range is repeated then you do NOT need to re-write that number again.
5.175 into a fraction
Please help
Look at picture
Supplementary angles
Answer:
Step-by-step explanation:
[tex]3)\frac{5x}{2}+125 = 180\\\\\frac{5x}{2}=180-125\\\\\frac{5x}{2}=55\\\\ 5x = 55*2\\\\ x =\frac{55*2}{5}\\\\ x = 11*2 = 22[/tex]
4) 3x+ 42 + 90= 180
3x + 132 = 180
3x = 180 -132
3x = 48
x = 48/3
x = 16
The Earth is approximately 8.0 × 103 miles in diameter, from pole to pole. What number is the distance equivalent to?
Answer:
The diameter of earth from pole to pole is equal to [tex]8000[/tex] miles.
Step-by-step explanation:
The number to which the distance is equivalent is
[tex]8 * 10^3\\8 * 1000\\= 8000[/tex]
Thus, the diameter of earth from pole to pole is equal to [tex]8000[/tex] miles.
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer: 64 days
Step-by-step explanation: 1/8 every day, so he has 1 bag per 8 days, 8 bags, so 8x8 = 64 days.
