Answer:
A) x + 65 = 180
B) x = z
C) y = 65
Step-by-step explanation:
When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?
Answer:
C) 4
Step-by-step explanation:
1 + x/2 = 3
x/2 = 2
x = 4
The value of x is 4.
Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.
Answer: C) 4
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answer:
Drip is the only answer
Step-by-step explanation:
Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get
[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]
[tex]A=14000\left(1+0.05\right)^{22}[/tex]
[tex]A=14000\left(1.05\right)^{22}[/tex]
[tex]A\approx 40953.65[/tex]
Therefore, the accumulated value of the given investment is $40953.65.
Answer:
A = $41,867.06
A = P + I where
P (principal) = $14,000.00
I (interest) = $27,867.06
Step-by-step explanation:
Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year
To find: The accumulated value of an investment
Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]
Solution: First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 14,000.00(1 + 0.1/12)(12)(11)
A = 14,000.00(1 + 0.008333333)(132)
A = $41,867.06
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.
What is all the partial products for 3.4 x 1.2
Answer:
4.09
Step-by-step explanation:
Hope it helps. That is the answer
The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3.4 x 1.2
3.4 is equal to 3 + 0.4.
1.2 is equal to 1 + 0.2.
Now,
(3 + 0.4) x (1 + 0.2)
= 3 + 0.6 + 0.4 + 0.08
= 3 + 1 + 0.08
= 4 + 0.08
= 4.08
Thus,
3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).
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find the opposite of the integer 10
write a real world problem that could be represented by 1/5 x 5 = 1
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8
Answer:
to me it's a simple solution
Step-by-step explanation:
please helppppppppppp...... 17 points
Answer:
x = 24.5
Step-by-step explanation:
the angles form a straight line, and a straight line equals to 180°
=> (5x + 8) + (3x - 24) = 180
=> 8x = 196
=> x = 24.5
ye I need some help, please
Answer:
(1,0) (2,1) (4,4)
y<x+1 (for the dashed line)
y≥-2x+2 (for the solid line)
Step-by-step explanation:
What is the cost with sales tax for the phone? Assume that the sales tax is 6%, or 0.06 times the price.
Answer:
$0.06x
Step-by-step explanation:
Well, you didn’t give us a value for the phone so let’s say the phone is x. . .
Let x=the price of the phone.
x * 0.06=0.06x
Answer:
Step-by-step explanation:
a
Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?
Answer:
25%
Step-by-step explanation:
36-27= 9/36= 0.25 x 100 = 25%
12 + 22 u = PLS HELP
Answer:
34
Step-by-step explanation:
Please Help (no links)
Answer:
The answer is d
find the erea of the trapezoid.
Answer:
36
Step-by-step explanation:
A (base) 6
B (Base) 12
H (height) 4
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.
Answer:
a.4 people share 1/5 of a pie
Step-by-step explanation:
When solving the equation below, what step do you need to take to get the variable by itself?
x/−2=19
a.divide by -2
b.add -2
c.multiply by -2
d.multiply by 2
Answer:
Add -2
Explanation:
X / -2 = 19
19 + 2
= 21
x = 21
Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again
4-(6x1000)+99-490=
i need u guys help and thank you
Answer:
-6387
Step-by-step explanation:
I have a feeling you're just giving away points :)
7W + 3 = -4W - 85
a. -11
b. 11
c. 8
d. -8
The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.
Answer:
669cm2
correct question
Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area
Step-by-step explanation:
The side length of the hexagon should be given which is 16 cm
To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle
Base = √((16)^2 - (13.9)^2
Base = √62.29
Base = 7.92cm
Since we have gotten the base
Diagonal - the base gives the top length of the trapezium.
32- 7.92- 7.92 = 16.16
The area of the hexagon gives the 2 times of the trapezium.
To find the area of the trapezium
= 1/2 * ( a+b)h
= 1/2* ( 32+ 16.16)* 13.9
= 24.04*13.9
Area of the trapezium = 334.71cm2
= 334.71 * 2
= 669.42cm2
Hope this helps
what is the product of 4/5 and 6/7
Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
Step-by-step explanation:
hello :
here is an solution
Which equation shows how to find the
angle measure of the part of the circle
without the arrow?
jenny has $55 in her checking account, he bought 7 equally priced dvds and paid with a check. her new account balance is -$22. how much was each dvd?
Answer:
Jenny spent $11 on each dvd she bought.
Step-by-step explanation:
First and foremost, add 55 and 22 since her account balance is now at -$22 since that shows she spent even more.
55+22= 77
Next step divide 7 into 77 since that's how many dvds jenny bought.
77÷7= 11
The answer is $11. Jenny spent $11 on each dvd she bought.
Hope this helps
On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?
Answer:
on 32 and -32
Step-by-step explanation:
y=(x-1)^2-9 standard form
Answer:
Y=x^2-2x-8
Step-by-step explanation:
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The standard form of the equation y=(x-1)²-9 is y=x²-2x-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
y=(x-1)²-9 equation is in the form of a quadratic equation
where y is the unknown variable and x is the known variable.
The equation can be written in standard form by expanding the (x-1)² term and combining like terms.
y=(x-1)²-9
y=x²+1-2x-9
Combine the like terms
y=x²-2x-8
The expanded form of the equation is y=x²-2x-8
Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8
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PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!
G. A. B. O
By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges