work out (10-3 x 2) to the power of 2
Answer:
16
Step-by-step explanation:
parentheses first: 10-6 which is 4^2 or 16.
Hope this helps :D
Place the following fractions and decimals in order from least to greatest:
12/5
3 1/3
3 1/6
3.09
Answer:
.09,1/6,1/3,2/5
Step-by-step explanation:
Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3
Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.
tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10
If $620 is invested at 6% per
annum, how long will it be until
it reaches $713?
Answer:
It will take 2 1/2 years
Step-by-step explanation:
Using simple interest, it is found that it will take 2.5 years for the account to reach $713.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]713 = 620(1 + 0.06t)[/tex]
[tex]1 + 0.06t = \frac{713}{620}[/tex]
[tex]0.06t = 1.15 - 1[/tex]
[tex]0.06t = 0.15[/tex]
[tex]t = \frac{0.15}{0.06}[/tex]
[tex]t = 2.5[/tex]
It will take 2.5 years for the account to reach $713.
For more on simple interest, you can check https://brainly.com/question/25781328
How is locating -1.5 on a number line the same as locating 1.5 on a number line How is it different?
Find all angles between 0 and 2pi satisfying the condition cosx=-1/2
You can find the angles using the unit circle. You can also find the angle using algebra.
I want to show you the algebra way.
Since cos(x) = cos(2•pi - x), this leads to two equations.
The two equations are as follows:
cos (x) = -1/2...the given problem.
We also have cos (2•pi - x) = -1/2.
To isolate x for both trigonometric equations, use the inverse trig function idea.
Equation 1
arccos(cos x) = arccos (-1/2)
x = 2•pi/3
Equation 2
arccos(cos (2•pi - x)) = arccos (-1/2).
Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.
When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.
As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.
Answer: 2•pi/3, 4•pi/3
Help Me on this palzz
Answer:
That should be 11.99+35.50+6.75+3+ 7.15% of EACH of those items added together minus 11.99+35.50+6.75+3+ 6.35% of EACH of the same items added together
PLS AMSWER ASAP I WILL MARK BRAINLIEST DONT ANSWER IF YOUR NOT SURE THIS IS DUE VERY SOON
Answer: point B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)
I hope this helps and good luck!
A cake was cut into 12 equal pieces. Someone ate part of the cake so that 3/4 of the cake remains. How many 1/12 pieces are left?
Answer:
Nine pieces
Step-by-step explanation:
If you multiply the 3/4 pieces until the denominator is equal to twelve the numerator would be nine
Candice scored 74 on an exam that had a mean of 66 and a standard deviation of 4. Erin scored 58 on an exam with a mean of 42 and a standard deviation of 7. Who scored better?
Answer:
Erin
Step-by-step explanation:
Z score formula:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Candice:
Z score = 74 -66/4
Z score = 2
For Erin
Z score = 58 - 42/7
Z score = 2.28571
Erin z score is larger hence, he did better
For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form. 8 6 5 183 4 3 2 1 3 -3 - 3 -10 -98 lo S 910 f(x), red line: g(x), blue line: m= h(x), green line: m = Check Answer Next Question Question 6 of 8 POWER ? XKNEWTON ! Turn it in Save & Close O E e
Answer:
f(x), Red Line: m = -½; b = 2
g(x), Blue Line: m = ⅓; b = -1
h(x), Green Line: m = 3; b = 0
Step-by-sep explanation:
✍️Note the following:
✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.
f(x), Red Line:
Using 2 points on the red line, (6, -1) and (8, -2)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]
m = -½
The red line intercepts the y-axis at y = 2, therefore:
b = 2
g(x), Blue Line:
Using 2 points on the blue line, (0, -1) and (3, 0)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]
m = ⅓
The blue line intercepts the y-axis at y = -1, therefore:
b = -1
h(x), Green Line:
Using 2 points on the green line, (0, 0) and (1, 3)
slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]
m = 3
The green line intercepts the y-axis at y = 0, therefore:
b = 0.
Recall that you algebraically find the intersection point of two lines by setting their equations equal to each other and solving for the x-coordinate of intersection. Then substitute to find the y-coordinate. Algebraically determine the intersection point of y = 6x-27 with y = 2x – 7.
Answer:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 27[/tex]
[tex]y = 2x - 7[/tex]
Required
Determine the point of intersection
We simply equate both equations; i.e.
[tex]y = y[/tex]
or
[tex]6x - 27 = 2x - 7[/tex]
Collect Like Terms
[tex]6x - 2x = 27 - 7[/tex]
[tex]4x = 20[/tex]
Solve for x
[tex]x = 20/4[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]y = 2x - 7[/tex]
[tex]y = 2 * 5 - 7[/tex]
[tex]y = 10- 7[/tex]
[tex]y = 3[/tex]
Hence, the point of intersection is:
[tex]x = 5[/tex]; [tex]y = 3[/tex]
Suppose z is a complex number (a point in the plane) with angle 30 degrees and radius 2. Suppose w is a complex number with angle 60 degrees and radius 5. If z and w are multiplied together the angle of their product is how many degrees?
Answer value
Write each number in complex polar form:
[tex]z=2e^{i\cdot30^\circ}[/tex]
[tex]w=5e^{i\cdot60^\circ}[/tex]
When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that
[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]
so the angle of the product zw is 90°.
Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?
Answer:
2.576
Step-by-step explanation:
Given :
Confidence level (α) = 99%
Z(1 - α)/2 = Z(1 - 99%)/2
Z1%/2 = Z1%/ 2
Z0.5% = Z0.005
Z(0.99 + 0.005) = Z0.995
Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57
Similarly, using the Invnorm calculator function :
Invnorm(0.995) gives a Zscore of :
2.576
Emilie rides her bike x miles before she gets a flat tire. She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles. Which expression shows how many miles Emilie travels in all?
Answer there is no choice, but it is x+1/3+2 1/2.
Step-by-step explanation:
Answer:
The answer is x + 2 5/6.
Step-by-step explanation:
Emilie rides her bike x miles before it gets a flat tire.
She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.
The equation would be:
x + 1/3 + 2 1/2
But, since that isn't an option, we have to simplify the equation.
x + 1/3 + 5/2
= x + [tex]\frac{2+15}{6}[/tex]
= x + 17/6
= x + 2 5/6
Thus, the answer is x + 2 5/6.
this is factoring quadratics with a leading coefficient: 5p to the 2 power - 52p + 20
Answer:
(-5p + 2)(-p + 10)
Step-by-step explanation:
[tex]5p^{2}[/tex]-52p + 20
(-5p + 2)(-p + 10)
You can double check this by using the distributive property..
-5p * -p = -5p^2
2*-p = -2p
10*-5p = -50p
10*2 = 20
-5p^2 + -2p + -50p + 20
Now we combine like terms and simplify
-5p^2 -52p + 20
So, we are correct
A submarine is -18 feet below the surface of the ocean. The submarine then dove to a depth of -50 feet below the surface of the ocean. What was the change in depth?
Answer:
-32ft
Step-by-step explanation:
Given parameters:
Original depth of the submarine = -18ft
New depth = -50ft
Unknown:
Change in depth = ?
Solution:
The change in depth will be the difference in depth between the new and original depth.
Change in depth = New depth - original depth
Change in depth = -50ft - (-18ft) = -32ft
The change in depth of the submarine is -32ft.
421.2 - 305.8
Using mental math
Answer:
114.4
Step-by-step explanation:
421.2
-305.2
114.4
Quiz 2: percent and percentage
solve: 24% of 80=
A. 19.2
B. 38.4
C. 192
D. 384
Answer:
Answer: 19.2
Step-by-step explanation:
To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.
solve the equation 4x-2(x+3)=8
Answer:
4x-2x-6=8
2x-6=8
2x=8+6
2x=14
x= 14/2
x= 7
Answer:
X=7
Step-by-step explanation:
4x-2(x+3)=8
4x-2x-6=8
2x=8+6
2x=14
X=7
A rectangular poster is 50 cm long and 25 cm wide. If 1 cm is approximately .4 inches What is the perimeter of the poster
Let the function f be defined by f(x) = 12 -5x
4. Is it true that f(0) = 0?
5. Explain why or why not?
ILL MARK YOU BRAINLIEST if you answer xx
12 time 10 times 10 times 10
Answer:i used a calculator 12000
Step-by-step explanation:12 × 10 × 10 × 10 = 12000
and have a nice Day :)
Answer:
12000
Step-by-step explanation:
If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)
A rectangle is 1/2 red, 1/5 green and 1/10 blue. The rest is yellow. What ratio of the rectangle is yellow? PLEASE HELP
Find the value of P for which the inflows will equal the outflows. Find the effective rate first.
Rate 8% p y c d
Year Outflows Inflows
0 -P
1 -2P
2 -4P
3 -8P
4 -16P
5 $24,000
6 $30,000
7 $36,000
8 $42,000
9 $48,000
10 $54,000
Answer:
The answer is "p= $5,246".
Step-by-step explanation:
Using formula:
Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)
[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]
[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
Answer:
D would be the actual answer.
Step-by-step explanation:
8.
Say that you (or your parents) are purchasing a house for $235,000 and have an excellent credit score. If you pay $1,678.93 at the end of
the first month, how much is applied to the principal balance?
Credit
Excellent
Good
Average
Fair
Poor
Secured
APR (%)
4.75
5.00
5.85
6.40
7.50
Unsecured
APR (%)
5.50
5.90
6.75
7.25
8.40
$616.29
$685.25
$748.72
$721.19
Answer:
The correct answer is 748.72
Step-by-step explanation:
$748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.
What is principal amount?The loan amount that the lender gave to the borrower is referred to as the primary amount. Also, it is the factor the lender uses to calculate interest.
Please be aware that the amount you pay toward your loan's principal is without the interest that is charged on that amount. Your lender determines how much interest customers will pay over a specific length of time based on the amount still owing. The principle amount is simply the amount you owe their lender before interest.
principal amount = 4.75% of $1,678.93
= 4.75% × $1,678.93
= $748.72
Therefore, $748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.
To know more about principal amount, here:
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Yvette invests $300 each quarter in a fixed-interest mutual fund paying annual
interest of 7% compounded quarterly. How much will her account have in it at
the end of 11 years?
Answer:
Step-by-step explanation:
The formula for calculating the amount after t years is expressed as;
A = P(1+r/n)*nt
P is the Principal (amount invested) = $300
r is the rate = 7% = 0.07
t is the time used to save = 11 years
n is time of compounding = 1/4 (quarterly)
Substitute;
A = 300 (1+0.07/(1/4))^(1/4)(11)
A = 300(1+4(0.07))^2.75
A = 300(1+0.28)^2.75
A = 300(1.28)^2.75
A = 300(1.9716)
A = 591.49
Hence the amount that will be in her account after 11 years is $591.49
If given the following AP what is the common difference 10, 15, 20
Answer:
The common difference of the given AP is d=5.
Step-by-step explanation:
Given the sequence
[tex]10,\:15,\:20[/tex]
An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the common difference of all the adjacent terms
[tex]10,\:15,\:20[/tex]
[tex]15-10=5,\:\quad \:20-15=5[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=5[/tex]
Therefore, the common difference of the given AP is d=5.
please help me out -4x – 6 – 2x –3
a circle has a radius o 12 inches, what is its diameter
Answer:
24
Step-by-step explanation:
Answer:
113
Step-by-step explanation:
First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.