Answer:
m=5+t/2-s
Step-by-step explanation:
arrange like terms
2m-sm=5+t
factotise m in the first side of the equation
m(2-s)=5+t
divide both sides by (2-s)
therefore m=5+t/2-s
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
the answer for y=4 and x=4✔3
(a+b)^3=? hhihiihihihihih
Answer:
Step-by-step explanation:
The central angle in a circle of radius 6 meters has an intercepted arc length of 10 meters. Find the measure of the angle in radians and in degrees
Answer:
The central angle is 5/3 radians or approximately 95.4930°.
Step-by-step explanation:
Recall that arc-length is given by the formula:
[tex]\displaystyle s = r\theta[/tex]
Where s is the arc-length, r is the radius of the circle, and θ is the measure of the central angle, in radians.
Since the intercepted arc-length is 10 meters and the radius is 6 meters:
[tex]\displaystyle (10) = (6)\theta[/tex]
Solve for θ:
[tex]\displaystyle \theta = \frac{5}{3}\text{ rad}[/tex]
The central angle measures 5/3 radians.
Recall that to convert from radians to degrees, we can multiply by 180°/π. Hence:
[tex]\displaystyle \frac{5\text{ rad}}{3} \cdot \frac{180^\circ}{\pi \text{ rad}} = \frac{300}{\pi}^\circ\approx 95.4930^\circ[/tex]
So, the central angle is approximately 95.4930°
12) Find the angles between 0o and 360o where sec θ = −3.8637 . Round to the nearest 10th of a degree:
Please show all work
9514 1404 393
Answer:
105.0°, 255.0°
Step-by-step explanation:
Many calculators do not have a secant function, so the cosine relation must be used.
sec(θ) = -3.8637
1/cos(θ) = -3.8637
cos(θ) = -1/3.8637
θ = arccos(-1/3.8637) ≈ 105.000013°
The secant and cosine functions are symmetrical about the line θ = 180°, so the other solution in the desired range is ...
θ = 360° -105.0° = 255.0°
The angles of interest are θ = 105.0° and θ = 255.0°.
community gym charges a $50 membership fee ad a $55 monthly fee.
Help me please I don’t know what to do
A solution to a system
Is the point two lines cross each other.
3. The lines cross at y = 0 and x = 2, so the solution is x = 2
4. The lines do not cross so there are no solutions.
5. It looks like there is one line which means the two lines are identical so there are infinite solutions
Answer:
Step-by-step explanation:
3) y = x - 2
y = -x +2
Both lines are intersecting at (2 , 0).So, (2, 0) is the solution of the equations.
(2,0)
4) Both lines are parallel to each other and they will never intersect. So, it has no solution.
5) Both lines are coincide. So all points in the line are solutions of the equations.
Infinity solutions
Consider a credit card with a balance of $7000 and an APR of 16.5 %. If you want to make monthly payments in order to pay off the balance in 1 year, what is the total amount you will pay? Round your answer to the nearest cent, if necessary.
9514 1404 393
Answer:
$7641.24
Step-by-step explanation:
The amortization formula tells the payment amount.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where principal P is paid off in t years with n payments per year at interest rat r.
Using the given values, we find ...
A = $7000(0.165/12)/(1 -(1 +0.165/12)^-12) = $7000×0.01375/(1 -1.01375^-12)
A = $636.77
The total of 12 such payments is ...
$636.77 × 12 = $7641.24
You will pay a total of about $7641.24.
_____
Additional comment
Since the payment amount is rounded down, the actual payoff will be slightly more. Usually, the lender will round interest and principal to the nearest cent on each monthly statement. The final payment will likely be a few cents more than the monthly payment shown here.
True or false? If it is false, replace the underlined word with the correct word. (Constant is underlined) The constant term in a polynomial expression is a number that is not multiplied by a
variable.
Answer:
true
Step-by-step explanation:
what else would it be. that is exactly the reason why we have constants.
What is the domain of the function in the graph?
Answer:
C
Step-by-step explanation:
You are looking at the domain which is on the K axis. It starts at 6 and ends at 11. The range J is 80 to 120
Estimate the product of 0.235 and 13.467 to the nearest hundredth. Round each value to the nearest hundredth before multiplying. Your final answer should also be rounded to the nearest hundredth.
Answer:
0.235 = 0.24
13.467 = 13.47
0.24+13.47=13.71
WILL GIVE BRAINLIEST ASAP
Answer:
Step-by-step explanation:
Find the final amount of money in an account if $7, 200 is deposited at 2.5 % interest compounded
quarterly (every 3 months) and the money is left for 9 years.
The final amount is $
Round answer to 2 decimal places
The final amount is $7,615.27
A = P(1 + r/n)^t
Where,
A = Final amount
P = principal = $7, 200
r = interest rate = 2.5% = 0.025
n = number of periods = 4
t = time = 9 years
A = P(1 + r/n)^t
= 7,200(1 + 0.025/4)^9
= 7,200(1 + 0.00625)^9
= 7,200(1.00625)^9
= 7,200(1.0576769512798)
= 7,615.2740492152
Approximately,
A = $7,615.27
https://brainly.com/question/14003110
please help me find the value of x
Answer:
x=10
Step-by-step explanation:
The whole figure is symmetric hence x=10
Expand (2+x)^-3
....
Answer:
1/(x^3 + 6x^2 + 12x + 8)
Step-by-step explanation:
The first thing we do is rationalize this expression. (2+x)^-3 is written as
1/(2+x)^3
Then from there we can foil out the denominator. It is easiest to foil (2+x)(2+x) first and then multiply that product by (2+x).
(2+x)(2+x) = 4 + 4x + x^2
(4+4x+x^2)(2+x) = 8+8x+2x^2+4x+4x^2+x^3.
Then we combine like terms and put them in order to get:
x^3 + 6x^2 + 12x + 8
And of course we can't forget that this was raised to the negative third power, so our answer is 1/(x^3 + 6x^2 + 12x + 8)
Answer:
Hello,
Step-by-step explanation:
[tex](a+x)^n=a^n+\left(\begin{array}{c}n\\ 1\end{array}\right)*a^{n-1}*x+\left(\begin{array}{c}n\\ 2\end{array}\right)*a^{n-2}*x^2+\left(\begin{array}{c}n\\ 3\end{array}\right)*a^{n-3}*x^3+\left(\begin{array}{c}n\\ 4\end{array}\right)*a^{n-4}*x^4+...+\left(\begin{array}{c}n\\ n\end{array}\right)*a^{n-n}*x^n[/tex]
[tex]with \\\\\left(\begin{array}{c}n\\ 1\end{array}\right)=n\\\\\left(\begin{array}{c}n\\ 2\end{array}\right)=\dfrac{n(n-1)}{2!} \\\\\left(\begin{array}{c}n\\3 \end{array}\right)=\dfrac{n(n-1)(n-2)}{3!} \\\\...\\[/tex]
[tex]\dfrac{1}{(2+x)^3} =\dfrac{1}{8} +3*\dfrac{x}{4}+3\dfrac{x^2}{2}+x^3\\\\[/tex]
Maria has 3 more than twice as many crayons as Elizabeth. How many crayons does Maria have? C = crayons 2C + 3 3C + 2 3 + 2 + c pless help
A new coffee shop is being built. Its location is the reflection of the arcade's coordinates across
the y-axis. Which procedure will find the correct distance between the arcade and the new coffee shop?( there is more than one answer)
Step-by-step explanation:
mark me brainlist
please mark mep
144 is the same as 379 less than c
How can this be wrote in a equation
Answer:
144 = c - 379
Step-by-step explanation:
"144 is the same as 379 less than c"
144 = c - 379
Answer and Step-by-step explanation:
This can be written in an equation like this:
144 = c - 379
The question is saying that 144 is the same answer as the result of 379 less than c (or c minus 379). This is why we equal 144 to the result of c minus 379.
#teamtrees #PAW (Plant And Water)
sample of 1800 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that 28% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim
Answer:
The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that 28% do not fail in the first 1000 hours of their use.
At the null hypothesis, we test that at least 28% do not fail, that is:
[tex]H_0: p \geq 0.28[/tex]
At the alternative hypothesis, we test if the proportion is of less than 28%, that is:
[tex]H_1: p < 0.28[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.28 is tested at the null hypothesis:
This means that [tex]\mu = 0.28, \sigma = \sqrt{0.28*0.72}[/tex]
Sample of 1800 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1800, X = 0.25[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.25 - 0.28}{\frac{\sqrt{0.28*0.72}}{\sqrt{1800}}}[/tex]
[tex]z = -2.83[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.25, which is the p-value of Z = -2.83.
Looking at the z-table, z = -2.83 has a p-value of 0.0023.
The p-value of the test is 0.0023 < 0.02, which means that there is sufficient evidence at the 0.02 level to dispute the company's claim.
How to divide using area model
Answer:
In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the or the and define the length and width of the rectangle.
We can break one large of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. Then we add to get the area of the whole, which is the or quotient.
To multiply two 2-digit numbers, using the area model, follow the given steps:
Write the multiplicands in expanded form as tens and ones.
For example, 27 as 20 and 7, and 35 as 30 and 5.
Draw a 2 × 2 grid, that is, a box with 2 rows and 2 columns.
Write the terms of one of the multiplicands on the top of the grid (box). One on the top of each cell.
On the left of the grid, write the terms of the other multiplicand. One on the side of each cell.
Write the product of the number on the tens in the first cell. Then write the product of the tens and ones in the second and third cell. Write the product of the ones in the fourth cell.
write the product in the cell
Finally, add all the partial products to get the final product.
Here, for example, the area model has been used to multiply 27 and 35.
area model multiplication
Let us see how to find the product of 3-digit number by a 2-digit number using the area model.
Find the Product using Area Model
Let us now use the area model for the division. Here, we divide 825 by 5.
Area Model Division 1
Area Model Division 2
Fun Facts
The area model is also known as the box model.
The area model of solving multiplication and division problems is derived from the concept of finding the area of a rectangle. Area of a rectangle = Length × Width.
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A car travels at a constant speed towards a town. If it increases its speed by 15 km/h, the time required is in a ratio of 6 : 5. If it reduces its speed by 15 km/h, it needs another 105 minutes to arrive at the destination. Find the distance travelled by the car.
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Answer:
525 km
Step-by-step explanation:
Let d represent the distance to the town. Let s represent the nominal speed of the car. The relation between time, speed, and distance is d = st.
t1 = d/s
t2 = d/(s+15)
t1 : t2 = 6 : 5 . . . increasing the speed reduces the time
Substituting for t1 and t2, we have ...
(d/s)/(d/(s+15)) = 6/5
(s +15)/s = 6/5
1 +15/s = 1 +1/5
s = 5·15 = 75 . . . . nominal speed in km/h
__
Decreasing the speed increases the time.
d/75 +(105/60) = d/(75-15)
d(60/75) +105 = d . . . . . . multiply by 60
105 = d/5 . . . . . . . . . . . subtract 4/5d
525 = d . . . . . . . . . . multiply by 5
The distance traveled by the car is 525 km.
nearest number of 64653
Answer:
is it like this
64653=65000
Answer:
là 64652/64654
The ratio of frogs to toads was 3 to 7. If there were 1280 frogs and toads in all, how many were frogs?
Answer:
348 frogs
Step-by-step explanation:
ratio = 3:7
total of ratio = 10
frogs = 3/10 × 1280 = 348 frogs
Answer:
let the ratio be 3x and 7x.
3x+7x=1280
10x=1280
x=128
Now
frogs =3x=3*128=384
toads =7x=7*128=896
Solve this question:Зх <-24
Answer:
x< - 8
Step-by-step explanation:
3x <-24
x < - 24
3
x< - 8
x < - 8
Step-by-step explanation:
3x < - 24
Divide 3 on both sides,
3x / 3 < - 24 / 3
x < - 8
A job calls for installing 270 lighting fixtures. If 81 fixtures have been installed so far, what
percent of the job still has to be done?
Answer:
70%
Step-by-step explanation:
First find the ones that still need to be installed
270-81
189
Percent to be done = number to be installed / total
=189/270 =.7
Change to percent form = .7 *100% = 70%
ILL GIVE BRAINLIEST
Combine like terms.
4x – 7y + 2x – 4 = [ ? ]x + [ ]y + [ ]
Answer:
[6x] + [-7y] + [-4]
Step-by-step explanation:
There are only two like terms in this expression "4x" and "2x." Since they are like terms we can combine them by adding the coefficients and keeping the variable attached. Therefore we can combine 4x and 2x into 6x. Since there are no more like terms, this expression can be simplified to 6x - 7y - 4.
45÷3(90÷2(6+3(19-16))))
simplify
Step-by-step explanation:
= 45÷3(90÷2(6+3(19-16))))
= 45÷3(90÷2(6+3×3)))
= 45÷3(90÷2(6+9)))
= 45÷3(90÷2×15))
= 45÷3(45×15)
= 45÷3×675
= 15×675
= 10125
hope it will help u
Find the common ratio of the geometric sequence: 1, 1/3, 1/9, 1/27,…
Answer:
1/3
Step-by-step explanation:
Next term ÷ Previous term = common ratio
Answer:
Hello,
Answer: q=1/3
Step-by-step explanation:
[tex]u_1=1\\u_2=\dfrac{1}{3} =1*\dfrac{1}{3}\\u_3=\dfrac{1}{9}=u_2*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^2\\u_4=\dfrac{1}{27}=u_3*\dfrac{1}{3}=u_1*(\dfrac{1}{3})^3\\\\Common\ ratio\ q=\dfrac{1}{3}[/tex]
Use the distributive property to write an
expression that is equivalent to each expression. If
you get stuck, consider drawing boxes to help
organize your work.
D. 8(-x-1/2)
e. -8(-x-3/4y+7/2
Answer:
D. -8x-4
E. 8x+6y-28
Step-by-step explanation:
D. 8(-x-1/2) = -8x-4
E. -8(-x-3/4y+7/2 = 8x+6y-28
PLS HELP
Find an equation of the line with a y-intercept of -3 and an x-intercept of -4.5
Answer:
y = - [tex]\frac{2}{3}[/tex] x - 3
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 ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts
m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line
Which number is divisible by 10? 148 99 121 100
Answer:
100
Step-by-step explanation:
100/ 10
= 10
