Answers
Answer:
Blank 1: -40
Blank 2: 21
Step-by-step explanation:
[tex]-5\sqrt{14}\cdot \:4\sqrt{6}[/tex]
Break 14 up:
[tex]-5\sqrt{2\cdot \:7}\cdot \:4\sqrt{6}[/tex]
[tex]-5\sqrt{2}\sqrt{7}\cdot \:4\sqrt{6}[/tex]
Break 6 up:
[tex]-5\sqrt{2}\sqrt{7}\cdot 4\sqrt{2\cdot \:3}[/tex]
[tex]-5\sqrt{2}\sqrt{7}\cdot 4 \sqrt{2}\sqrt{3}[/tex]
We know that [tex]\sqrt{2}\sqrt{2}=2[/tex]
Thus,
[tex]-5\cdot \:4\cdot \:2\sqrt{7}\sqrt{3}[/tex]
Multiply:
[tex]-40\sqrt{7\cdot 3}[/tex]
[tex]-40\sqrt{21}[/tex]
Answer:
[tex]\Large \boxed{\sf [-40]\sqrt{[21]}}[/tex]
Step-by-step explanation:
Rearrange
[tex]\displaystyle -5 \times 4 \times \sqrt{6} \times \sqrt{14}[/tex]
Evaluate
[tex]\displaystyle -20 \times \sqrt{84}[/tex]
Simplify
[tex]\displaystyle -20 \times \sqrt{4 \times 21}[/tex]
[tex]\displaystyle -20 \times 2\sqrt{21}[/tex]
[tex]\displaystyle -40\sqrt{21}[/tex]
Related Questions
What is the answer to this question?
Answers
Answer:
(-6,300)
Step-by-step explanation:
Answer:
(-6,300)
Step-by-step explanation:
(x,y)
then:
x = -6
y = 300
then:
(-6 , 300)
2a + 2b = c for b
Solve for b
Answers
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
A baker needs 2 pounds of flour and 3 sticks of butter to
make 64 cupcakes. At these rates, how many pounds of
flour and how many sticks of butter would the baker
need to make 352 cupcakes?
Answers
Answer:
11 pounds of flour and 16.5 sticks of butter
Step-by-step explanation:
2/64 = 0.03125
3/64 = 0.046875
0.03125 * 352 = 11
0.046875 * 352 = 16.5
Answer:
15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.
Step-by-step explanation:
PLEASE HELP I W WILL MARK YOU BRAINLIEST
Answers
Answer:
200 students
Step-by-step explanation:
Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer
answerrrrrrrrrrrrrrr pleaswe correctly.
Answers
Hey There!!
The answer to this is: A.
the line will cross the y intercept at 6 therefor the only option that has 6 is the first one the slope will be 1/2
Hope It Helped!~
Good Luck With Your Assignment!~
[tex]UsedLess[/tex]~
(^///^)
how do i solve this? 12x÷100+35000minus 14x ÷100
Answers
Answer:
-2x/100 + 35
Step-by-step explanation:
Step 1:
12x ÷ 100 + 35,000 - 14x ÷ 100
Step 2:
- 2x ÷ 100 + 35,000 ÷ 100
Step 3:
- 2x ÷ 100 + 35
Answer:
- 2x/100 + 35
Hope This Helps :)
Show your work. Find the length of SU. (~Brainiliest will be awarded):)
Answers
Answer:
SU= 14
Step-by-step explanation:
if QU= 24 and RU= 19 then you can subtract 24-19=5. and if QR=RS=ST then you subtract 19-5=14
pls help asap i need the help
Answers
Answer:
-2.5 is correct answer
Ans.=Write 0.2 repeating as a fraction in simplest form.
Answers
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
Thus
0.22..... = [tex]\frac{2}{9}[/tex]
Answer:
2/9
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x =
Thus
0.22..... =
I need help with finding m & I’m pretty sure exercise 6 is # 6 help please
Answers
[tex]\text{Hello!}[/tex]
=+=+=+=+=+=+=+=+=+=+=
[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]
[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]
[tex]\text{ Isolate for m:}[/tex]
[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]
[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]
[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]
[tex]5/4n - 7 = m[/tex]
[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]
[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]
Round the following whole number to the nearest thousand.
9474
Answers
Answer:
9,000
Step-by-step explanation:
9474
Locate the thousands place:
9474
Check the number to the right:
9474
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
Since there is a '4', we round down.
9474 ≈ 9000
Hope this helps.
6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
7,15, 23, 31, 39, ?, ?, ...
Answers
Answer:
The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.
Step-by-step explanation:
7+8=15
15+8=23
23+8=31
31+8=39
39+8=47
47+8=55
Can someone please answer this question. It’s not very difficult but I need to be certain I have the correct answer.
Answers
Answer:
12m^2(a)
Step-by-step explanation:
Multiply 3m by 4m for a paralolegram.
(l*w)
bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?
Answers
Answer:
2.80×50
Step-by-step explanation:
2.80×50 step by step
The price of an item has been reduced by 55%. The original price was $53. what is the price now
Answers
Answer:
$29.15
Step-by-step explanation:
Step 1:
$53 × 55%
Step 2:
53 × 0.53
Answer:
29.15
Hope This Helps :)
The price of a tv is rs3000.if the discount is rs1560,find the percent of discount.
Answers
Answer:
price of tv = 3000
discount =1560
discount % = 1560/3000 * 100% = 52%
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Formula =discount ×100÷original price
1560×100÷3000=52%
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds after it was hit can be modeled by the function h(t)=40t-16t^2.
Move the number to the blanks to describe the path of the ball.
When the ball is hit at 0 seconds, it has a height of _____ feet. The ball's height increases until it reaches its maximum height of _____ feet after ____ seconds. The ball's height then decreases until it reaches the ground _____ seconds after it was hit.
Fill in the blanks with these numbers: 0, 0.4, 1.25, 2, 2.5, 4, 16, 25, 40
Answers
Answer:
The correct numbers are;
1) 0
2) 25
3) 1.25
4) 2.5
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Step-by-step explanation:
The given equation for the height of the ball, h(t), in feet, is given as follows
h(t) = 40·t - 16·t²
Therefore;
1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet
2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0
Therefore;
h'(t) = 40 - 2 × 16·t = 0
40 - 32·t = 0
t = 40/32 = 5/4 seconds = 1.25 seconds
3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;
h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet
4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;
h(t) = 0 = 40·t - 16·t²
40·t - 16·t² = 0
(40 - 16·t)·t = 0
Therefore;
t = 0 seconds or t = 40/16 = 2.5 seconds
(40 - 16·t) = 0/t = 0
t = 40/16 = 2.5 seconds
Therefore, the filling the blanks with the correct numbers gives;
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Solve for X X - 24 = 73 Question 6 options: 49 97 47 95
Answers
Answer:
x = 97
Step-by-step explanation:
X - 24 = 73
Add 24 to each side
X - 24+24 = 73+24
x = 97
[tex]\text{Hello! :D}[/tex]
[tex]\large\boxed{x = 97}[/tex]
[tex]\text{x - 24 = 73}[/tex]
[tex]\text{Solve for x by adding 24 to both sides:}[/tex]
[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]
20% of the gummy bears in a bag are blue. There are 12 blue gummy bears in the bag. Shade the grid to show the percent of gummy bears that are blue. How many gummy bears are in the bag?
Answers
Answer:
60 gummy bears in total
Step-by-step explanation:
20% of the gummy bears are blue.
12 gummy bears are blue
That means 6 gummy bears is 10% of the total.
6*10=60
100%=60 gummy bears.
Can someone help me ASAP pleaseee
Answers
Answer:
y = 8x - 26
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus
y = 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6) , then
6 = 32 + c ⇒ c = 6 - 32 = - 26
y = 8x - 26 ← equation of line
if bill payed 73.80 for 32 4/5 gallons of gas, how much did he pay per gallon
Answers
Answer:
$2.25
Step-by-step explanation:
73.80/32.8
The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and solve an equation to find the original value of the baseball card
Answers
Answer:
50v
Step-by-step explanation:
The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)
Answers
Answer: 2.83
Step-by-step explanation:
Use the distance formula
a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal
Answers
Answer:
96 and 192 calories
Step-by-step explanation:
Given
72 calories in a 3/4 cupDivide both by 3/4 to find the unit rate:
72:3/4 in 3/4:3/496 calories in 1 cupThen multiply both by 2 to get the calories for 2 cups:
96*2 = 192 caloriesA diesel train traveled to Las Vegas and back. The trip there took ten hours and the trip back took 14 hours. It averaged 60 mph on the return trip. Find the average speed of the trip there.
Answers
Convert to standard form: y = 5x + 20
Answers
Answer:
5x - y = -20
Hope this helps.
Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...
Answers
Answer:
an = 6 +8(n -1)
Step-by-step explanation:
Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference.
Here, the differences are ...
14 -6 = 8
22 -14 = 8
30 -22 = 8
These are all the same, hence a "common" difference. The first term is 6, so the general term is ...
an = 6 +8(n -1)
4x+ 2( 3 – 3x) = 6 answer
Answers
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour
Answers
Answer:
4544
Step-by-step explanation:
1136 *4 = 4544
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.
Answers
Answer:
1/4n - 3
Step-by-step explanation:
1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.
The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Emily's number can be represented as:
n
One-fourth of Emily's number can be represented as:
1/4n
Subtracting 3 from one-fourth of Emily's number gives us:
1/4n - 3
Therefore, the expression that represents Emily's number is:
n = 1/4n - 3
This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
Learn more about the algebraic expression here :
brainly.com/question/21751419
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