Answer:
502 cubic feet
Step-by-step explanation:
The Volume of the tank is 502 cubic feet.
Cyndie invests some money at 2% compounded continuously. If after 6 years she has $1691.25,
what was her initial investment?
Answer:
1500
Step-by-step explanation:
what is a good communication
Answer:
text or video calls
Step-by-step explanation:
Answer: Employers value employees who can communicate effectively;
Step-by-step explanation: it means they are able to listen to others, as well as successfully relay their own ideas and opinions.
A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?
Answer:
6 gumballs can be stored in the gumball machine.
Step-by-step explanation:
Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:
10 / 1.5 = X
6.666666 = X
Thus, 6 gumballs can be stored in the gumball machine.
Which equation shows x^2+6x-2 = 0 rewritten by completing the square?
A. (x+3)^2=18
B. (x+3)^2-11
C. (x+3)^2-2
D. (X+3)^2-9
Answer:
Option B.
Step-by-step explanation:
We have the equation:
x^2 + 6*x - 2 = 0
Remember that:
(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2
Because the term with x^2 has a coefficient equal to 1, then a = 1.
(x + b)^2 = x^2 + 2*b*x + b^2
The ter with x is: 6*x
then:
2*b*x = 6*X
2*b = 6
b = 6/2 = 3
we have:
(x + 3)^2 = x^2 + 6*x + 9
Now, our equation is:
x^2 + 6*x - 2 = 0
Now we can add the term (11 - 11) = 0
x^2 + 6*x - 2 + (11 - 11) = 0
x^2 + 6*x - 2 + 11 - 11 = 0
x^2 + 6*x + (11 - 2) - 11 = 0
x^2 + 6*x + 9 - 11 = 0
And we know that:
x^2 + 6*x + 9 = (x + 3)^2
Then we can rewrite our equation as:
(x + 3)^2 - 11 = 0
Then the correct option is B.
The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:
Move the constant term (-2) to the other side of the equation:
x² + 6x = 2
Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:
x² + 6x + (6/2)² = 2 + (6/2)²
x² + 6x + 9 = 2 + 9
x² + 6x + 9 = 11
Now, let's look at the answer choices:
A. (x+3)² = 18
B. (x+3)² - 11
C. (x+3)² - 2
D. (x+3)² - 9
Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To know more about equation:
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Noah has 102 inches of border for poster board. He uses 7 feet of the border. How much border is left
Answer:
The answer is 18.
Step-by-step explanation:
You take 7x12 which is 84 and then you take 84 and subtract it from 102 inches so 102-84=18.
Hope this helps!
Noah after using 7 feet of the border is now left with 95 feet of the boarder.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
We also know about some basic properties of arithmetics,
There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, Noah has 102 inches of the border for poster board and he uses 7 feet of the border.
Therefore, The amount of border left can be obtained by subtracting the length used from the total length which is,
= (102 - 7) feet.
= 95 feet.
learn more about arithmetic operations here :
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The first number in a pattern is 10. The pattern follows the rule"multiply by 2 and then add 5," which statement describes all numbers in the pattern?
a. They are multiples of 5
b. The are all multiple of 10
c. They are all even
d. The area all odd
Answer:
A. They are multiples of 5
Step-by-step explanation:
10 times 2= 20+5= 25
25 times 2= 50+5= 55
55 times 2= 110+5= 115
115 times 2= 230+5= 235
All of them are multiples of 5.
Hope that helped! :)
Complete the sentence.
9 is 36% of
Answer:
35
Step-by-step explanation:
[tex]\frac{9}{y} =\frac{36}{100}[/tex]
y × 36 = 9 × 100
36y = 900
36y ÷ 36 = 900 ÷ 36
y = 35
Answer:
25
Step-by-step explanation:
36% 9
-------------- (36% over 100% and 9 over x)
100% x
Cross multiply: 36% times x and 100% times 9
36% times x=36x
100% times 9=900
Divide: 900 divided by 36=25
25 is your answer
Hope this helped!
Bella was here :)
Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height?
A.
90
B.
95
C.
100
D.
105
Answer:
C
Step-by-step explanation:
S= (2M-15)=185
2m=185+15= 200
m=200÷2= 100cm-C
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AK
X78°
B
>C
Angles are not drawn to scale.
Enter
Will give Brainiest if right
Answer:
79*
Step-by-step explanation:
Margot has paid $13,800 in
rent for a year. How much is
her monthly rent, r?
Hint: Remember there are 12
months in a year.
Answer:
$1150 per month
Step-by-step explanation:
13800/ 12
Sketch the graph using 3 points that belong to it. y = -3x+2
Answer:
Step-by-step explanation:
You have 32 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make? Whole servings only - round down rather than using partial servings.
Answer:
25 cups and 3/5 of a cup
Step-by-step explanation:
Bro trust me
Answer:
25
Step-by-step explanation:
32÷1.25=25.6
I hope this helps ^-^
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
Answer:
9.61cm
Step-by-step explanation:
Let height be x thus length will also be x
since the base is a square the width and length are also equal.
volume of pyramid=length×width×height
3
296cm³=x×x×x
3
296×3=x³
888=x³
x= cube root of 888
x=9.61cm
Help please will mark brainliest!!!
Answer:
504
Step-by-step explanation:
A = (.5bh)*6
Plug in your known numbers
A = (.5*12*14)*6
Since there is nothing missing just multiple together and you'll get
find values of x an y
4x+y 6x-y
Answer:
6xy+4x−y
Step-by-step explanation:
Find the common ratio of the geometric sequence. You must write r=
7640, 764, 76.4, 7.64,
Answer:
1/10 is the common ratio
simplified is 0.1
mark me brainilest:)
A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?
Answer:
the answer is 20+6h=15+8h
help. help. help.
no link pls.
Answer:
x + 2, x ≠ -2
Step-by-step explanation:
Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2. The quotient is x + 2, which in this problem has been named h(x).
The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.
Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]
Answer:
x = (9√2)/2
Step-by-step explanation:
Reference angle = 45°
Hypotenuse length = 9
Adjacent length = x
Apply the trigonometric ratio CAH:
Cos 45° = Adj/Hyp
Cos 45° = x/9
Multiply both sides by 9
9*Cos 45 = x
9*1/√2 = x (cos 45 = 1/√2)
9/√2 = x
Rationalize
(9*√2)/2 = x
x = (9√2)/2
what is 5 3/5 divided by 4/5 =
Answer:
7
Step-by-step explanation:
[tex]5 \frac{3}{5} \div \frac{4}{5} [/tex]
[tex]5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} [/tex]
[tex] \frac{25 + 3}{5} = \frac{28}{5} [/tex]
[tex] \frac{28}{5} \times \frac{5}{4} [/tex]
[tex]28 \frac{1}{4} [/tex]
[tex] = 7[/tex]
3000, 300, 30, 3, ...
O Arithmetic
O Geometric
O Neither
Answer:
code answer :unknown 976765 answer .geometric
Help I need a equation
9514 1404 393
Answer:
a) y = 3x-1
b) y = x+5
Step-by-step explanation:
a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.
The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...
y = 3x -1
__
b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...
b = y -mx
b = 7 -1·2 = 5
Then the slope-intercept equation is ...
y = x + 5
Hayden has 90 trading cards
Answer:
9
Step-by-step explanation:
90/10 =9
Help please!
This is due on April 18th but I would prefer the answer today! No sus links please!
3(y-2)=18
3y-6=18
3y=24
y=8
HOPE THIS HELPS AND YOU GOT GOOD GRADES
Answer:
blank 1= 6
blank 2=6
Step-by-step explanation:
y=2
3y=6
6/3=2
hope that helps
have a great day/night
Find the mean absolute deviation for the set below. S = 65, 90, 85, 70, 70, 95, 55
A. 12.24
B. 75.7
C. 114
D. 32.67
(I’ll give points + brainalist)
Answer:
A) 12.24
Step-by-step explanation:
Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184
Answer:
75.7
Step-by-step explanation:
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28
Answer:
B
Step-by-step explanation:
30-3.12=26.88 divide that by 4 and you get 6.72
Answer:
The Answer is B, $6.72
Step-by-step explanation:
30-3.12= 26.88
26.88÷ 4= 6.72
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
HELP LOOK AT PHOTO PLEASE
Answer:
y=60
Step-by-step explanation:
1) Find x
All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=x+35+25\\180=x+60[/tex]
Subtract 60 from both sides
[tex]180-60=x+60-60\\120=x[/tex]
2) Find y
A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:
[tex]180=x+y\\180=120+y[/tex]
Subtract 120 from both sides of the equation
[tex]180-120=y+120-120\\60=y[/tex]
There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.
I hope this helps!
whats 21(2 - m) + 12m = 44. please
Answer:
= − 2 /9
Step-by-step explanation: