Answer:
245 in²Step-by-step explanation:
The surface area is the sum of the areas of square base and triangle sides
S = 7² + 4*(1/2*7*14) = 49 + 196 = 245 in²Answer:
7 x 14 x 4 = 392
Step-by-step explanation:
what is the sum
56+90=_____
Answer:
146
Step-by-step explanation:
factor out the coefficient of the variable : 2/3j - 2/9
Answer:
j3a3
Step-by-step explanation:
30 16565x
What is the solution to this equation
Evaluate the expression when y = 4 y/2-8
Answer:
-6
Step-by-step explanation:
Using PEMDAS , division comes first.
4 ÷ 2 - 8
= 2 - 8
= -6
What is -10=k+6 please show work thank you
Answer:
k=-16
Step-by-step explanation:
-10=k+6
subtract 6 both both sides to isolate the variable
-16=k
Happy Holidays!!
Answer:
K= -16
Step-by-step explanation:
k=( -10)_6
make as brainlist
Stephanie has three shirts for every two pairs of jeans that she owns. If she owns 14 pairs of jeans, then how many shirts does she own?
Answer:
21 shirts
Step-by-step explanation:
Ratio jeans to shirts: 2:3
Mutiply by the same
2 to get to 14 is 7
7 x 2 = 14
7 x 3 = 21
Answer: i think the answer is 21
Step-by-step explanation:
Pls Help. I'm stuck. And this is the Course Challenge
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees will fit perfectly with shape pink
Money is put into two accounts. Account A earns 3.5% interest annually, and account B eanrs 2.6% interest annually. Assuming $20,000 is split evenly among the accounts and interest is not compounded, how much interest would be earned in total after 6 years?
Answer:
$3360 combined. $1560 from acct b and $2100 from acct a
A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (n= 1).
Answer:
16875.98
Step-by-step explanation:
6000(1+(0.09/1)^1*12 = 16875.98
Answer:
1648
Step-by-step explanation:
A=p(1+rt)
=6000$(1+(9/100)×12))
=1648.56
Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Answer:
[tex]H = (5,1)[/tex]
Step-by-step explanation:
The attachment is not clear. However, the points of G and F are:
[tex]F = (3, 2)[/tex]
[tex]G = (4, 4)[/tex]
And the options are:
[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]
Required
Determine the coordinates of H
This question will be solved using distance formula, D
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Since F is equidistant of G and H, the formula can be represented as:
[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and
[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
Where:
[tex](x_1,y_1) = (4,4)[/tex]
[tex](x,y) = (3,2)[/tex]
[tex]H = (x_2,y_2)[/tex]
Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]
[tex]D^2 = (1)^2 + (2)^2[/tex]
[tex]D^2 = 1 + 4[/tex]
[tex]D^2 = 5[/tex]
Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
From the list of given options, the values of x and y that satisfy the above condition is: (5,1)
This is shown below
[tex]5 = (5-3)^2 + (1-2)^2[/tex]
[tex]5 = (2)^2 + (-1)^2[/tex]
[tex]5 = 4 + 1[/tex]
[tex]5 = 5[/tex]
Other options do not satisfy this condition. Hence, the coordinates of H is:
[tex]H = (5,1)[/tex]
A 6-ounce can of Frozen orange juice costs $1.02. Give the unit price in cents per ounce
The unit price in cents per ounce will be 17 cents / ounce.
The cost of the 6 ounce frozen orange juice is given as:
Cost = $ 1.02
We know that:
$ 1 = 100 cents.
So, by using multiplication, we get that:
$ 1.02 = 1.02 × 100 cents
$ 1.02 = 102 cents.
Now, Number of ounces = 6 ounces
Unit price in cents per ounce = 102 cents / 6 ounce
Unit price in cents per ounce = 51 cents / 3 ounce
Unit price in cents per ounce = 17 cents / ounce
Therefore, the unit price in cents per ounce will be 17 cents / ounce.
Learn more about unit price here:
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12 1 10 − 5 5 6 = Enter the fraction as a mixed number in simplest form. Use a space between the whole and fractional part.
Answer:
467
Step-by-step explanation:
my question is down there
A plumber is draining a tub, The graph shows the water level of the tub in gallons after draining for x hours.
What is the range of the function for this situation.
A) all real number is greater than or equal to 0 and less than or equal to 15.
B) all real numbers less than or equal to 15.
C) all real numbers greater than or equal to 0 and less than or equal to 20.
D) all real numbers less than or equal to 20.
When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account, so that if the amount present is P, then dP dt = kP where P is in dollars, t is in years, and k is a constant. If $180,000 is invested (when t = 0) and the amount in the account after 17 years is $421,136, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.)
Answer:
the interest rate on this investment k = 0.05 or 5%
Step-by-step explanation:
Given that;
dp/dt = kp
dp/p = k dt
now we integrate on both sides
integral dp/p = integral k dt
ln p = kt + c
p =e^kt + c
p = ce^kt
Given that p = $180,000 is invested (when t = 0)
p = ce^kt
we substitute
180000 = ce^k×0
180000 = ce^0
180000 = c × 1
c = 180,000
we substitute the value in the equation
p = 180000e^kt
now given that the amount in the account after 17 years is $421,136
i.e at t = 17 and p = 421,136
we substitute
421,136 = 180000e^17k
divide both sides by 180000
421136/180000 = 180000e^17k / 180000
e^17k = 2.3396
17k = In(2.3396)
17k = 0.8499
k = 0.04999 ≈ 0.05
therefore the interest rate on this investment k = 0.05 or 5%
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 480 miles in 8 hours, and the truck traveled 210 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck
Step-by-step explanation:
You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.
Hellpppppppppppppp ASAP
Answer:
C
Step-by-step explanation:
graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.
graph D is a linear equation, x = -4
graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks
brittany is listening to a song on the internet. the song is streaming at a rate of 128 kilobits per second. There are 8 kilobits in 1 kilobyte. What is the streaming rate in kilobytes per second?
Step-by-step explanation:
16 because 128 divided by 8 is 16
Answer this one question please thanks
Answer:
option b is correct answer
PLEASEE HELP 51 POINTS PLEASEE
Answer:
Part A is $21 and part B is $30.21
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?
Answer:
Mean: 54
Mode: There is none
Median: (50+52)/2 = 51
Step-by-step explanation:
Hope this helps!!! :D
A certain bacteria can divide every hour. Which of the following equations represents the number of cells, N, that is present after t hours?
A
N(t)=2t
B
N(t)=2/t
C
N(t)=2t
D
N(t)=t2
Answer:
N(t) = N0/2^t
Step-by-step explanation:
Given that:
Number of cells present after t hours = N
Let initial number of cells = N0
Using the exponential decay relation:
N(t) = N0(1/2)^t
N(t) = N0/2^t
Hence, the number of cells N present after t hours is N(t) = N0/2^t.
How can you determine the domain of a sine function?
Answer:
Step-by-step explanation:
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x
Answer:
1( ×=2
2( x=5
ekekjejew
Pls help me with number 4.)
Answer:
4 x [tex]\frac{3}{2}[/tex] = 6
Step-by-step explanation:
The division equation would be 4 divided by 2/3, but that is equal to 4 x 3/2 = 6.
Hope it helps! (I'm so sorry if it's wrong).
Answer:
2.66
Step-by-step explanation:
2/3 of 4 is the same as:
2/3 * 4 = (2/3) * (4/1)
By the rules for multiplying fractions, this is (2*4) / (3*1) = 8/3
8/3 is 2.66
For a party, 10 friends are buying 100 cups, 100 plates, a
punchbowl, and 200 balloons.
DATA
Party Supplies
100 balloons $7.80
100 plates
$4.75
100 cups
$5.45
100 napkins
$2.09
10 invitations $1.60
plastic punchbowl $11.50
What stepe do you need
to solve to find the
answer?
a. How much did they spend on party supplies?
Answer:
the answer i believe is 37.30
What is the slope of the line through (1,0) and (3, 8)?
Answer:
4
Step-by-step explanation:
the equation for slope: (y2-y1)/(x2-x1)
the points are (1,0), and (3,8)
we can label them
x1=1
y1=0
x2=3
y2=8
now, substitute into the equation (m=slope)
m=(8-0)/(3-1)
m=8/2
m=4
nonpurchasers to total customer 37 and 13
if John owes 300 dollars and pays 50 a week what are the dependent and independent variables