Answers
Answer:
1, 2, 4, 11, 22, 44.
Step-by-step explanation:
Hope this helps :)
Factors of 44: 1, 2, 4, 11, 22,
Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.
2 •2•11=44
Related Questions
graph these equations? y = 3x - 5, y = 1/2x + 5
Answers
The solution of the given system of equations is (4, 7).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)
Substitute equation (I) in (II), we get
3x-5=1/2 x+5
3x-1/2 x=5+5
2.5x=10
x=4
Substitute x=4 in equation (I), we get
y=3(4)-5
y=7
So, solution is (4, 7)
Therefore, the solution of the given system of equations is (4, 7).
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In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Answers
Check the picture below.
\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)
Make sure your calculator is in Degree mode.
5 Practice
Question 10a
A rectangle is 18 feet long and 14 feet wide.
The area of the rectangle is
square feet.
The solution is
O Search
Answers
Answer:
Given - A rectangle of length 18 feet and wide 14 feet
To find - Area
Solution -
Area of rectangle = Length * Breadth
=
\(18 \times 14\)
\(252\) square feet
Step-by-step explanation:
We know,
Area=l×b
A=18×14
A=252ft^2
use calculator to check ans
hello may i know what is the length?a , b ,c or d?
Answers
33. Option A is correct
Explanations:In order to get the measure of side BC, we need to determine the measure of first as shown:
\(\begin{gathered} \angle A+\angle B+\angle C=180^0 \\ 93+\angle B+58=180 \\ \angle B=180-(93+58) \\ \angle B=180-151 \\ \angle B=29^0 \\ \end{gathered}\)Next is to determine the measure of BC using the sine rule as shown:
\(\begin{gathered} \frac{BC}{sin\angle A}=\frac{AC}{sin\angle B} \\ \frac{BC}{sin93}=\frac{16}{sin29} \end{gathered}\)Cross multiply
\(\begin{gathered} BC=\frac{16sin93^0}{sin29^0} \\ BC=\frac{15.978}{0.485} \\ BC\approx33 \end{gathered}\)Therefore the length of side BC is approximately 33.
Differentiate the function with respect to x. Shot steps
Answers
The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).
Its geometric meaning is the slope of tangent of the function at a given point.
The given function is as below,
y = sec⁻¹(x³)
The given function is a composite function of sec⁻¹x and x³.
In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,
dx³/dx = 3x²
And, dsec⁻¹x /dx = 1/x√(x² - 1)
Now, differentiation of sec⁻¹(x³) is given as,
d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))
= 3x/√(x² - 1)
Hence, the differentiation of the given function is 3x/√(x² - 1).
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the graph is _ throughout its domain and has _ at the x-axis because the value bx can get very close to 0 but never reach it
Answers
Answer:
Increasing and an asympote
Step-by-step explanation:
Answer:
Increasing and asympote
Step-by-step explanation:
i got right
What is the probability of randomly selecting a person and getting someone who does not have type a blood, given that 32% of people have type a blood?
Answers
Given:
32% of people have type A blood.
To find:
Probability of a selecting person that does not having type A blood.
Explanation:
Probability can be defined as the ratio of a number of favourable outcomes and a total number of outcomes.
Let the total number of person = 100.
As it is given that 32% of people have type A blood,
\(\begin{gathered} 32\%\text{ of 100} \\ \frac{32}{100}\times100=32 \end{gathered}\)So, we can say that 32 out of 100 that having to type A blood.
Now, to find the people that does not have type A blood is:
\(100-32=68\)i.e., 68 people do not have type A blood.
So, the probability of selecting a person and getting someone who does not have type A blood:
\(\frac{68}{100}=0.68\)Final answer:
Hence, the required probability value is 0.68.
3. An investor plans to invest $500/year and expects to get a 10.5% return. If the investor makes these contributions at the end of the next 20 years, what is the present value (PV) of this investment today?
Answers
The present value (PV) of the investment today is approximately $2,965.05.
To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.
The formula for the present value of an annuity is given by:
PV = C * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present Value
C = Cash flow per period
r = Interest rate per period
n = Number of periods
In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.
Let's plug in these values into the formula and calculate the present value (PV):
PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]
Using a calculator, we can evaluate the expression inside the brackets:
PV = $500 * [(1 - 0.376889) / 0.105]
Simplifying further:
PV = $500 * [0.623111 / 0.105]
PV = $500 * 5.930105
PV = $2,965.05
Therefore, the present value (PV) of the investment today is approximately $2,965.05.
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The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 x+7 and y-\frac{2}{5}x=-4y− 5 2 x=−4 are
Answers
Answer:
bxjfjxucjkkdndjkjhkjjnn
Write the slope of tangent and normal to the curve y=f(X) at (x1,y1).
Answers
The slope of the tangent line is:
a = (df(x1)/dx)
The slope of the normal one is:
a' = -1/(df(x1)/dx)
How to find the slope of the tangent line?For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.
So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:
df(x1)/dx
And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:
a*(df(x1)/dx) = -1
a = -1/(df(x1)/dx)
Where df/dx reffers to the derivative of f(x).
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(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
Answers
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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You deposit $400 into a savings account that earns 5% annual
interest compounded annually. The graph shows the balance of
your investment account over time.
Answers
Step-by-step explanation:
F=400(1+0.05/1)^1*t
After 1 year= $ 400.20
2= 400.40
3=$ 400.60
4= $ 400.80
5=$ 401.00
6= $ 401.20
7=$ 401.40
8= $ 401.60
9=$ 401.80
10= $ 402.00
The graph of the balance over every year is plotted. Here, we can see the increase in balance over the years.
What is compound interest?"Compound interest is the addition of interest to the principal sum of a deposit, or in other words, interest on principal plus interest."
Here, the principal is (P) = $400
The interest rate(r) = 5% = 0.05
The time period is = n years
Therefore, after n years balance is = P(1 + r)ⁿ
After 1 year, balance is = $400(1 + 0.05)¹ = $420
After 2 years, balance is = $420(1 + 0.05)¹ = $441
After 3 years, balance is = $441(1 + 0.05)¹ = $463.05
After 4 years, balance is = $463.05(1 + 0.05)¹ = $486.20
After 5 years, balance is = $486.20(1 + 0.05)¹ = $510.51
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Suppose a brewery has a filling machine that fills 12-ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 12.23 ounces and a standard deviation of 0.04 ounce. The company is interested in reducing the amount of extra beer that is poured into the 12 ounce bottles. The company is seeking to identify the highest 1.5% of the fill amounts poured by this machine. For what fill amount are they searching? Round to the nearest thousandth.
Answers
The company is searching for a fill amount of 12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given mean of 12.23 ounces and a standard deviation of 0.04 ounces.
To find the fill amount for the highest 1.5% of the fill amounts
we need to find the z-score corresponding to the 98.5th percentile
Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98.5th percentile is 1.81.
The formula for converting a z-score to a raw score is:
x = μ + zσ
where x is the raw score we want to find, μ is the mean, z is the z-score, and σ is the standard deviation.
x = 12.23 + 1.81(0.04)
x = 12.305 ounces
Therefore, the company is searching for a fill amount of 12.305 ounces to identify the highest 1.5% of fill amounts poured by the filling machine.
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A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
Answers
a) The distance of the stone above ground level at time t :
d(t)= -4.9t² + 950
b) It takes 13.92 seconds the stone to reach the ground
c) With 136.42 m/s velocity the stone strikes the ground.
d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground
Here, a stone is dropped from the upper observation deck of a tower, 950 m above the ground.
(a) the distance of the stone above ground level at time t would be,
d(t) = 0.5 (-9.8) t² + v(0) t + d(0)
= (-4.9)t² + 0t + 950
= -4.9t² + 950
(b) Now we find the time the stone takes to reach the ground.
i.e., the value of 't' when d = 0
Substituting d(t) = 0 in the above equation.
-4.9t² + 950 = 0
t² = (-950) / (-4.9)
t² = 193.88
t = 13.92 seconds
(c) We need to find the velocity the stone takes to strike the ground
i.e., the velocity when t = 13.92 seconds
v(t) = v(0) + gt
v(13.92) = 0 + (9.8)(13.92)
v = 136.42 m/s
(d) here, v(0) = -8 m/s
Velocity is negative because stone is being thrown downward.
d(t) = 0
(-4.9)t² + v(0) t + d(0) = 0
(-4.9)t² -8t + 950 = 0
Using the quadratic formula we solve above equation for,
t = -14.76, 13.13
We can disregard the negative solution
So, we get t = 13.13 seconds.
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Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars
Answers
Answer: buy all the crop tops
Step-by-step explanation:
Answer:
Well with that amount of money u should most definitely buy them, if you liked the of course
Step-by-step explanation:
I'm just saying
Please help me with this on the picture
Answers
9514 1404 393
Answer:
(-5, 4)
Step-by-step explanation:
The inside corner moves from (2, -2) to (-3, 2). That is 5 is subtracted from the x-coordinate, and 4 is added to the y-coordinate. (x, y) ⇒ (x -5, y +4)
The translation vector can be written horizontally as (-5, 4), or vertically as ...
\(\displaystyle\binom{-5}{4}\)
I need help!!!
What is (7×5)10÷3+6=
Answers
Answer: 38.8
Step-by-step explanation:
Step-by-step explanation:
Calculate with Parenthesis ( \(7*5\))
\(7*5=35\)
\(35*3\)÷3+6
Multiply and divide ( left to Right)
35*10/3
=350/3
350/3+6
Add and subtract (left to right):
350/3+6
=368/3
Convert improper fraction to mixed numbers:
368/3=122
Answer:
368/3=\(122 \frac{2}{3}\)
Help hurry and thank u if u do
Answers
This is because we add up the money Jim, Jane and Bryn which was 10, 45 and 10. This equals to 65.
And half of $130 is 65 which means it is 50%
Answer: Jim raised %8.3
Step-by-step explanation: Well the total amount raised was $120 dollars, Jim raised $10 of that $120. Therefore jim raised %8.3 percent of the earned income.
consider that angle DEF is similar to angle GHI and the measure of angle E is 58 degrees. What is the measure of angle H?
Answers
Answer:
I am not sure but, since they are in the same place when writing it out, it should be the same.
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
i have this same question on usa test prep i took the test
17 i MATHEMATICAL CONNECTIONS Find the value of x when alb and ble bA CA (5(x + 7) + 15]° a (9x + 18) Check
![17 i MATHEMATICAL CONNECTIONS Find the value of x when alb and ble bA CA (5(x + 7) + 15] a (9x + 18)](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bP8IIXoUen3tzJEUrvlFbEzv91W25ak7.png)
Answers
What is the surface area of the figure shown?
Answers
Answer:
90 square feet.
Step-by-step explanation:
Let's set up an equation!
SA= 2(xy)+2(xz)+2(yz).
Lets say that x=3 y=6 and z=3
We plug it in.
2(18)+2(9)+2(18)= SA
36+18+36=SA
72+18=SA
90=SA
90 square feet = Surface area.
One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
Answers
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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what is the difference between a repeating decimal and a terminating decimal
Answers
Step-by-step explanation:
Terminating decimals: these have a finite number of digits after the decimal point.
Example: 9.5
Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
Example: 0.333333...
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
Answers
Which statement is true about the graphed function
Answers
For a card trick, Barry is using 15 cards from a deck. If each suit he uses has 4 numbered cards and c face cards, which expression shows how many suits he is using?
A.
15 × 4 + c
B.
15 ÷ (4 + c)
C.
15 ÷ 4 + c
D.
15 × (4 + c)
Answers
Answer:
Answer is B
Step-by-step explanation:
CF AND AH ARE SKEW PERPENDICULAR PARALLEL
Answers
Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.
Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.
Mary works at a local Burger King restaurant. Her regular hourly wage is $14.70. If she works overtime, she receives an hourly rate of 13 times her regular hourly rate. What is Mary's hourly overtime rate?
$22.05
$29.40
$14.70
$7.35
Answers
Answer:22.05 I think its this one but if i'm wrong i'm really sorry
it took 5 students 1 hour to ship their dormitory fine
Answers
Answer: ok yea but what’s the question
Step-by-step explanation:
20% of what numbner is 100
Answers
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500