Answer:
90
Step-by-step explanation:
90 degrees minus 35 degrees equals 65 degrees
Can someone plz help me with my question I will pAaay you
Answer:
sure what is it
Step-by-step explanation:
Well, it depends on the question!!
(comment it if you need me to answer it)
You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 6.1 percent interest. If the two accounts pay 3 percent and 7 percent interest, how much should you invest in each account?
$625 in 3%, $375 in 7%
$850 in 3%, $150 in 7%
$450 in 3%, $550 in 7%
$225 in 3%, $775 in 7%
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.
Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,
0.03x + 0.07(1000 - x) = 0.061 × 1000
Simplify the equation, then we have
0.03x + 0.07(1000 - x) = 0.061 × 1000
0.03x + 70 - 0.07x = 61
-0.04x + 70 = 61
0.04x = 70 - 61
0.04x = 9
x = 9 / 0.04
x = $225
Then the amount in the second account will be given as,
⇒ $1000 - $225
⇒ $775
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
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One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?
2.5 inches
5.0 inches
7.1 inches
9.8 inches
PLZ ANSWER ASAP
Answer:
C
Step-by-step explanation:
This means that there is another leg of an isosceles triangle that is also 5 inches.
a^2 + b^2 = c^2
a = 5
b = 5
c = ?
c^2 = 5^2 + 5^2 Combine
c^2 = 25 + 25
c^2 = 50 Take the square root of both sides.
sqrt(c^2) = sqrt(50^2)
c = sqrt(5 * 5 * 2) Take out 1 of two factors under the root sign.
c = 5 * sqrt(2) The 2 is left over because there is only 1 of them
sqrt(2) = 1.4142
c = 5 * 1.4142
c = 7.07 = 7.1
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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Land has a increase of 6 percent how long till doubles
The required percentage the require to elongate the land to double is 96%.
Given that,
The land has an increase of 6 percent how long till doubles is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
The initial measure of the land = 1 + 0.06 = 1.06 or 106%
According to the question
Now, to the double the difference = 2 - 1.06 = 0.96 or 96%
Thus, the required percentage the require to elongate the land to double is 96%.
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what is statistics?
Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.
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Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
The area of the parallelogram is equal to 300 square feet.
Step-by-step explanation:
John has $50.00. He owes his friend Beth $100.00. He owes his mother 1/4 of the amount he owes Beth. How much more money dose John need to be able to pay both of them back?
A. $25.00
B. $75.00
C. $125.00
D. $175.00
Answer: He owes Beth and his mom $125
Step-by-step explanation:
I need help with my math homework
Answer:
See below, sorry for taking so long
Step-by-step explanation:
1.
A. Slope is rise over run or y2 - y1 divided by x2 - x1
We have (-5, 1) and (-3, 7)
7 - 1 / -3 - (-5)
6 / -3 + 5
6 / 2 = 3
Slope = 3
B. So point slope form is y - y1 = m(x - x1)
We know the slope so:
y - 1 = 3(x - (-5))
C. Using the point slope we can move things around to get slope-intercept:
y - 1 = 3(x + 5)
y - 1 = 3x + 15
y - 1 + 1 = 3x + 15 + 1
y = 3x + 16
D. Standard form is Ax + By = C:
y = 3x + 16
y - y = 3x + 16 - y
0 = 3x + 16 - y
0 - 16 = 3x + 16 - y - 16
-16 = 3x - y
3x - y = -16
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.
Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
Please help me important quePlease help me important question in image
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Please help me important question in image
Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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3. Penguins can swim at speeds of up to 29 feet per second. Use dimensional analysis to
convert this speed to miles per hour. 1 mile = 5280 feet. (4 pts, 1 for feet into miles, 1
seconds into hours, 1 simplified answer, 1 for units in answer.)
Answer:
Penguins can swim at a speed of 19.77 miles per hour.
Step-by-step explanation:
Since penguins can swim at speeds of up to 29 feet per second, to convert this speed to miles per hour, knowing that 1 mile is equal to 5280 feet, the following calculation must be performed:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60x60 seconds = 3,600 seconds
29 x 3,600 = feet per hour = 104,400
104,400 / 5,280 = miles per hour = 19.77
Thus, penguins can swim at a speed of 19.77 miles per hour.
What is 5x + 12 < 2 ?
Answer:
x < -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5x + 12 < 2
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10[Division Property of Equality] Divide 5 on both sides: x < -2Answer:
x < - 2
Step-by-step explanation:
5x + 12 < 2 ( subtract 12 from both sides )
5x < - 10 ( divide both sides by 5 )
x < - 2
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
of the prism below is a
square with a circular hole in it.
Work out the volume of the prism.
Give your answer to 3 s.f.
5 cm
6 cm
The cross-section
13 cm
Answer:
704 cm³
Step-by-step explanation:
Things to understand :
The 3D figure removed by making a circular hole through the prism is a cylinder. The original shape was a rectangular prism.Volume of the prism is equal to the difference between the volume of the rectangular prism and cylinder.Solving :
Volume (prism) = Volume (rectangular prism) - Volume (cylinder)
Volume = LWH - πr²h
Volume = 5 x 13 x 13 - π x 3² x 5
Volume = 845 - π x 45
Volume = 845 - 141.3
Volume = 704 cm³
\( \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}\)
Step-by-step explanation:
Information about diagram- The diagram is a square prism with a circular hole in it.
Given:
length of prism (a) = 13cm
height of prism (h) = 5 cm
diameter of circle(d) = 6 cm
To find:
Volume of prism =?
Solution:
Formula that would be used,
\( \sf volume \: of \: square \: prism = {a}^{2} h\)
\( \sf volume \: of \: cylinder = \pi {r}^{2} h\)
Let's calculate the overall volume of prism,
Volume of prism(including volume of hole) V = a²h
\( V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} \)
To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.
\(r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm\)
now calculate the volume of circular hole inside the prism,
Volume of circular hole(cylindrical shape) v= πr²h
\(v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}\)
The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)
\(V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}\)
Answer - Volume of prism is 703.7 cm³
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income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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due tonight help me out please
The average rate of change is the slope.
The slope is equal \(\frac{y2-y1}{x2-x1}\), if we were to do that for each set of points, we get the slope is always 8.
Thus the average rate of change is 8.
help me pls I don't get what to do
At the Crown Interior Pizza Hat location in Faridabad, a report showed that 431 out of 778 orders were for delivery. What is the minimum sample size needed to have a 4 percentage point error for the proportion of orders that were carry-out?
*If you used a program on the graphing calculator or formula can you specify which ones please?
Answer:
Step-by-step explanation:
To determine the minimum sample size needed to have a 4 percentage point error for the proportion of orders that were carry-out, we can use the following formula:
n = (Z^2 * p * q) / E^2
where:
n is the sample size we want to determine
Z is the z-score associated with the desired level of confidence (let's assume a 95% confidence level, so Z = 1.96)
p is the estimated proportion of orders that were carry-out (we don't know this yet, so we'll use 0.5 as a conservative estimate)
q is 1 - p (i.e., the estimated proportion of orders that were delivery)
E is the desired margin of error (in this case, 0.04)
Using the given information, we can estimate that the proportion of orders that were carry-out is:
p = 1 - 431/778 = 0.446
Then, plugging in the values into the formula, we get:
n = (1.96^2 * 0.446 * 0.554) / 0.04^2 ≈ 602.25
Rounding up to the nearest whole number, the minimum sample size needed is 603.
Note that I used the formula for sample size calculation based on a finite population, since the total number of orders is known (778). If we used the formula for an infinite population, the result would be very similar (around 604). I calculated this by hand, without using any calculator program, but you could use a calculator or a spreadsheet to perform the calculations more efficiently.
Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answer:
Please attach a photo to this so I can better answer your question
Find the principal needed to have $2000 in 7 years at an annual rate of 4% compounded monthly.
Principal = ________
9514 1404 393
Answer:
$1512.27
Step-by-step explanation:
The future value formula for monthly compounded interest is ...
FV = P(1 +r/12)^(12t) . . . . interest rate r for t years
Filling in the given values gives ...
2000 = P(1 +0.04/12)^(12·7) = P(1.003333...)^84 = 1.322513864P
Then the required principal is ...
P = 2000/1.322513864 ≈ 1512.27
The principal needed is about $1512.27.
What is the surface area of the triangular prism???
I really need an answer to this. My math test is tomorrow and I really need to be prepared!
The surface area of the triangular prism is B. 1,008 \(cm^{2}\)
What is Triangular Prism?Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.
How to determine this
The surface area of the triangular prism = Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.
Area of the front and back triangle will be the the same given the same base and height
To find the area of the triangle = 1/2 * Base * Height
Where base = 12 cm
Height = 9 cm
Area = 1/2 * 12 cm * 9 cm
Area = 6 * 9 \(cm^{2}\)
Area of the one triangle = 54 \(cm^{2}\)
So, by multiplying each sides of the triangle by the length
= Base * Length
= 12 cm * 25 cm
= 300\(cm^{2}\)
Height * Length
= 9 cm * 25 cm
= 225 \(cm^{2}\)
Then, Hypotenuse * Length
= 15 cm * 25 cm
= 375 \(cm^{2}\)
Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)
Surface Area = 1,008\(cm^{2}\)
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Zach solves the system below and finds the solution (8, -7).
x + y = -15
x + y = -1
Use a graph to complete the explanation for whether Zach's solution is reasonable.
<------------> x + y = -15
< -----------> = -1
The graph shows that the of the solution , so Zach's solution reasonable.
Does the expression x^3-1 divided by x^2 -1 simplify to x?
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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HELP I WILL GIVE BRAINLIST PLEASE I NEED THIS THANK YOU
Answer:
y= 100,000 x .98^t
Step-by-step explanation:
hope this helps
Answer:
Y= 2000
Step-by-step explanation:
I just need the answer
Answer:
D
Step-by-step explanation:
x is higher than -2 so the colored line is an estimation of where x is
can yall help me??? it would be awsome and i will give brainleist
Answer:
Its eather 2a or -18
Step-by-step explanation:
I think its one of those two
Could i have a heart and branliest please.
A consumer shops for a sofa. The store is having a 20% off sale on all furniture. What is the discounted, pre- tax cost of a sofa that is originally $510?