Answer:
$2,142
Step-by-step explanation:
7% of 18,600 is 1,302
Add this to 840 and you get a total of $2,142
Commission is $1,302
Gross pay is $840
2 of 8
=
Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP.
у
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Answer:
x = 3.255 cm
Step-by-step explanation:
Given:
⇒ y = 10cm
⇒ θ = 19
To find:
⇒ Value of "n"
Solution
⇒ By Pythagoras theorem
⇒ Δ Sin θ = n/y
⇒ sin 19° = n/10
⇒ 0.3255 = n/10
⇒ n = 0.3255 × 10
⇒ n = 3.255 cm
Hence, the answer is = n = 3.255 cm.
Fill in the blanks so that the standard and factored forms match
-x^4-5x^3+__ x^2 +10x=(x+__)(2x-x^3)
Answer:
-x^4-5x^3+2x²+ 10x = (x+5)(2x-x³)
Step by Step explanation
Naming the coefficient of x² as "a" and the independent temine of the first parenthesis as "b", we got:
-x^4-5x^3+ ax^2 +10x=(x+b)(2x-x^3)
- x⁴-5x^3+ ax^2 +10x = 2x²- x⁴+2bx-bx³
-5x^3+ ax^2 +10x = -bx³+2x²+2bx
( Matching the exponents)
For x: 2b= 10; b=10/2.
b=5
For x²: a=2
For x³: -b=-5
b=5
it’s timed please help :)
#94 will give brainliest to best answer!
Answer:
5/8
Step-by-step explanation:
There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.
Hope this helped! :)
choose the polynomial that is written in standard form
Answer: I don't know
Step-by-step explanation:
There are no choices. The question stated choose the polynomial which means it should have choices.
Correct me if I'm wrong though. Hope you won't be offended.
Answer:
Please read explanation... it always helps... trust me...
Step-by-step explanation:
alrighty sooo....
when a polynomial is written in standard form that means that the exponents are in order from greatest to least.... (i hope that isn't confusing....)
here is an example:
x^6 + x^5 + x^2 + 23 --> this polynomial is in standard form because the exponents are in order from least to greatest..... 6 then 5 then 2 then 1
(remember that a number like 23 have an invisible 1 as the exponent....
(btw, this symbol ^ means "to the power of")
I really hope this helps!!!!
What is the radius of a sphere with a volume of 32398cm3 cm
to the nearest tenth of a centimeter?
Answer:
The answer is 19.8cm to the nearest tenth
if mJK=(7x-39) and mML=87, find x
Answer:
https://brainly.com/question/9016553
Step-by-step explanation:
You can see the answers from the exact same question. In the link I pasted.
Not my answer but hope this helps
the functions fx and gx are shown on the graph. using fx what us the equation that represents gx
The equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have equation of the graph:
[tex]\rm f(x) = log_3x[/tex]
Apply transformation in the parent function:
Replace x → (x+4)
The parent function will shift 4 units to the left.
And function becomes:
[tex]\rm g(x) = log_3(x+4)[/tex]
Thus, the equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
Learn more about the function here:
brainly.com/question/5245372
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fine the value please, giving BRAINLIEST
Your friend is planting a circular garden full of different color pansies. Your friend plans to plant five different colors of equal amounts. The garden has a
radius of 20 feet. How many square feet of space will each color cover?
The area that each color would occupy in the circular garden is: 251.32 sq. ft.
What is the Area of a Circle?Area of a circle = πr², where the radius of the circle is represented as r.
Area of the circular garden = πr² = π(20²)
Area of the circular garden = 1,256.6 sq. ft.
Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.
Learn more about area of a circle on:
https://brainly.com/question/12269818
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90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!
Answer:
B) 2.19 %
Step-by-step explanation:
The rule of 70 is used to estimate the time (in years) it takes for an investment to double.
Rule of 70 Formula
[tex]\textsf{Number of Years to Double}=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]
Given:
Number of Years to Double = 32Substituting this into the formula and solving
[tex]\implies \sf 32=\sf \dfrac{70}{\textsf{Annual Growth Rate}}[/tex]
[tex]\implies \textsf{Annual Growth Rate}=\sf \dfrac{70}{32}[/tex]
[tex]\implies \textsf{Annual Growth Rate}=\sf 2.1875[/tex]
[tex]\implies \textsf{Annual Growth Rate}=\sf 2.19 \% \: (nearest\:hundredth)[/tex]
Answer:
I think it is B
Step-by-step explanation:
hope it will help you
If f(x) = x+10, find f(7)
[tex]f(x)=x+10\\\\f(7)=(7)+10\\\\f(7)=17[/tex]
the answer is 17.
Answer:
The answer is 17, x±10 =10+7= 17
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
268.08 cm
Step-by-step explanation:
we all know that the FORMULA for a sphere is v=4/3 x π x r^3, so we just SUBSTITUTE.
V=4/3 x π x 4^3
which leaves us with 268.08 cm ^2 maybe??
(hope this helps)
Using the equation, y=5x²−17x −12, determine the roots.
A) (-4, 0) and (0.6, 0)
b) (-4, 0) and (-0.6, 0)
c) (4, 0) and (-0.6, 0)
d) (4, 0) and (0.6, 0)
Answer:
c
Step-by-step explanation:
y = 5x² - 17x - 12
to find the roots let y = 0 , that is
5x² - 17x - 12 = 0
Factorising the quadratic
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × - 12 = - 60 and sum = - 17
the factors are - 20 and + 3
use these factors to split the x- term
5x² - 20x + 3x - 12 = 0 ( factor first/second and third/fourth terms )
5x(x - 4) + 3(x - 4) = 0 ← factor out (x - 4) from each term
(x - 4)(5x + 3) = 0
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = - [tex]\frac{3}{5}[/tex] = - 0.6
roots are (4, 0 ) and (- 0.6, 0 )
What is the circumference of the given circle in terms of pi.
Is this employee correct? please help and explain your thinking.
Answer: yes it is
Step-by-step explanation:
apply the distributive property to multiply the following
1. 9×15
2.48×4
3.65×5
4.8×87
5.38×3
classify the system as consistent independent inconsistent or coincident { 3x - 6y = -12 x - 2y = -8
Find Determinant value
[tex]\\ \rm\Rrightarrow \left|\begin{array}{cc}\rm 3&\rm -6\\ \rm 1&\rm -2\end{array}\right|[/tex]
[tex]\\ \rm\Rrightarrow -6+6[/tex]
[tex]\\ \rm\Rrightarrow 0[/tex]
System is inconsistentthe length of one base of a trapezoid is 19 meters and the length of the other base is 27 meters. find the length of the median.
Answer:
23 m
Step-by-step explanation:
the median is calculated as
half the sum of the parallel bases , then
median = [tex]\frac{19+27}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23
NEED ANSWER PLEASE ASAP
A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 3cm. If a box contains 30 pieces of candy, how much chocolate does the box contain? Use 3.14 for pie, and do not round your answer.
Step-by-step explanation:
282.8cm³
Since the volume of each chocolate candy is in the shape of a sphere, it's volume is the volume of a sphere.
I really need help!! Imagine you bought a car that is valued at $20,000 but depreciates at a rate of 15% per year. How much is the car worth after 5 years? What is your classmate’s error, what is the correct equation, and what is the value of the car after 5 years?
thanks
Answer:
[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000
Step-by-step explanation:
20000 times (0.15 is rate) times years (5)
Answer you get is 15000 , then you have to take 20000+15000=35000
Find the circumference of a circle whose radius is 16. Leave your answer in terms of π.
Answer:
32π
Step-by-step explanation:
The equation for the circumference of a circle is as follows:
C = 2 π r
Since r = 16:
C = 2 π (16) = 32π
please i will give brainliest if right
Answer:
s = 156.25 square meters
Step-by-step explanation:
s = 2lw + 2lh + 2wh
s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)
s = 33 + 43.5 + 79.75
s = 156.25 square meters
Answer:
We know,
[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]
where,
Height (h) = 7.25mBreadth (b) = 3mLength (l) = 5.5m[tex] \: [/tex]
[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]
[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )
[tex] \longrightarrow [/tex] 2 ( 78.125 )
[tex] \longrightarrow [/tex] 156.25
Thus, The Surface Area of rectangular prism is 156.25cm².
[tex] \rule{200pt}{2pt} [/tex]
Additional Information:[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]
A cylinder has a circumference of 16pi inches and a height of 20 inches. what is the surface area of a cylinder in square inches?
Answer:
1407.43
Step-by-step explanation:
The eqaution for surface area of a cylinder is 2πr+2π[tex]r^{2}[/tex]'
but you already got the circumference so you work backwards
16pi/pi=16
16/2=8
r=8
h=20
So you plug it into the eqaution
2π8*20+2π8^2=1407.43
Write an explicit formula for an, the nth term of the sequence 13, 20, 27, ....
Answer: an
Submit Answer
Answer:
See below ~
Step-by-step explanation:
Finding the common difference :
20 - 137Formula :
aₙ = aₙ₋₁ + 7Answer:
[tex]\large \boxed{\sf 7n + 6}[/tex]
Explanation:
Sequence: 13, 20, 27,...
Find common difference: second term - first term = 20 - 13 = 7
As it is an explicit arithmetic term:
⇒ a + (n - 1)d (a is the first term, d is common difference)
⇒ 13 + (n -1)(7)
⇒ 7n - 7 + 13
⇒ 7n + 6
Mateo is baking a ham. He must make sure the ham has a minimum internal temperature of 145 degrees so that it is safe to eat. Using a thermometer, he takes the temperature of the ham in four random places. The minimum temperature in the sample is 150 degrees.
Identify the population and the sample. (4 points)
Population: four random places in the ham; Sample: all the ham meat
Population: all the ham meat; Sample: four random places in the ham
Population: all the ham meat; Sample: 150 degrees
Population: 150 degrees; Sample: 145 degrees
Population: 145 degrees; Sample: 150 degrees
Answer: Population: all the ham meat; Sample: four random places in the ham
Step-by-step explanation: I just took the test and got it right
Suppose a car rental firm wants to estimate the average number of kilometers traveled per day by each of its cars rented in a certain city. A random sample of 20 cars rented in that city reveals that the sample mean travel distance per day is 85.5 kilometers, with a population standard deviation of 19.3 kilometers. Compute a 99% confidence interval to estimate Q. (2 points) Interpret your answer. (1 point)
Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters of the interval are given as follows:
[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]
The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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A box of donuts has 12
total. One-fourth of
the donuts have sprinkles.
Of the remaining donuts,
one-third have cherry filling.
The rest are plain. How
many plain donuts are in
the box?
Answer:
6 donuts are left in the box
Step-by-step explanation:
12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.
I need help to find the blank spaces for the chart
You start at (5, -2). You move up 4 units. Where do you end?
Answer:
(5,2)
Step-by-step explanation:
if it’s (x,y) and 4 to the y to get 2