Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
Find the approximate length of C (WILL CHOOSE BRAINLIEST)
Answer:
c approx= 3.46
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.
3÷ sqroot3 = sqroot3
The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.
c = 2sqroot3 is the exact value.
c ~= 3.46
Please answer quickly Attachment down below
Answer:
He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.
Step-by-step explanation:
area of a triangle= b×h×1/2
therefore area of each triangle(lateral face)= 6×4×1/2= 12
12×4 because there are 4 triangles=48
then the area of the base= 6×6= 36
total surface area= 36+ 48=84
What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32
Answer:
B
Step-by-step explanation:
When number is multiplied by 4 subtracting from 68, the result obtained is the same as three times the sum of the number and 4 find the number
Answer:
Let the no.be X
when multiplied by 4 = 4X
68-4X=3(X+4)
68-4X=3X+12
collecting like terms together,
7X=56
therefore; X=8
hence ,the number is 8.
This is just a question to answer to boost your points. (students who need points to find answers only!)
What is the correct answer to 5x5/2?
Answer:
it would be 12.5
Step-by-step explanation:
brainly deleted my answer from before
A parking garage charges a fixed amount of money for each hour that it is used.
please help me with B im stuck
Answer:
A = 160
Step-by-step explanation:
Formula 1/2 d1d2
1/2 (16 x 20)
320 x 1/2 OR 320/2
=160
Hope this helps :)
the table shows some ordered pairs that belong to quadratic function h
The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
Read more about range at:
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Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar
The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation
How to determine the equation of the Ferris wheel?
From the question, we have the following parameters:
Center (a,b) = (0,0)Radius, r = 5The equation of a circle is represented as:
(x - a)² + (y - b)² = r²
So, we have:
(x - 0)² + (y - 0)² = 5²
Evaluate
x² + y² = 25
Hence, the equation of the Ferris wheel is x² + y² = 25
See attachment for the image of the Ferris wheel
Transformation to a similar circle
Assume that the similar circle has the following parameters:
Center (a,b) = (0,0)Radius, r = 10The equation of the circle would be:
(x - 0)² + (y - 0)² = 10²
Evaluate
x² + y² = 100
Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation
Read more about circle equations at:
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Write an expression equivalent to/that has two terms. 2x - 1/2 (10 - 4x)
Answer:
4x - 5
Step-by-step explanation:
To make this 2 terms, we'll have to first identify if we have to distribute anything.
Since 10 - 4x is inside a parenthesis and [tex]\frac{1}{2}[/tex] is beside that, we know that we'll have to distribute the expression.
[tex]-\frac{1}{2}[/tex] (10 - 4x) = [tex]-\frac{10}{2}[/tex] + [tex]\frac{4}{2}[/tex]x = -5 + 2x.
Then, combine like terms:
2x - 5 + 2x = 4x - 5.
Remember, the coefficient always goes before the constant.
Your answer should be 4x - 5.
select all the expressions that are equivalent to 16^5/2
Answer:
A, C, E
Step-by-step explanation:
[tex] 16^{\frac{5}{2}} = 16^{\frac{1}{2} \times 5} = (\sqrt{16})^5 = \sqrt{16^5} = 1024 [/tex]
A. 4^5 = 1024 Yes
B. 8^5 No
C. 4^5 Yes
D. [tex] 16^{\frac{2}{5}} [/tex] No
E. [tex] 16^{2 + \frac{1}{2}} = 16^{\frac{5}{2}} [/tex] Yes
F. [tex] 16^{\frac{11}{2}} [/tex] No
Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
plot the points
0,0
1,3
2,6
3,9
if anything else is needed inform me.
f(x)=−8x+4 What is the value of f(−14)?
0
2
3
6
Answer: 116
Step-by-step explanation:
We can substitute x=-14, giving us f(-14)=-8(-14)+4=116
Which is a factor of both terms of the expression 6f−12?
Answer:
6(f-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you solve the highest common factor first, then you can look for other factors.
Solution
6 = 2 * 3
12 = 2*2*3
The highest common factor is one 2 and one 3 making 6.
Use the distributive property to show what the 2 factors look like when the common factor is taken out.
6( f - 2)
Other factors.
You could take out just 1 factor like 2 or 3
2(3f - 6)
3(2f - 4)
Answer
I would submit 6(f - 2)
Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?
Answer:
3
Step-by-step explanation:
The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.
So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him. in your answer, specify whether he should use total surface area or lateral surface area. calculate the one you choose, give that measurement of the box, and then explain how you calculated it. grade 5 mathematics item specification c1 ti
The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?Total surface area (TSA) = 2(wl+hl+hw), where:
l = lengthw = widthh = height of the box.The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box
l = 20 in.
w = 8 in.
h = 13 in.
Plug in the values into the formula for total surface area of a rectangular box:
TSA = 2(8×20 + 13×20 + 13×8)
TSA = 1,048 in.²
Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².
Learn more about rectangular box on:
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HELP I NEED TO TURN IN TOMORROW
ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5
what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?
Answer:
Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000
Step-by-step explanation:
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x=5 or -7
step by step:
x2+2x−35=0
Step 1: Factor the left side of the equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Answer:
Your X value would equal to:
5 or -7
(images attached below show a step by step explanation)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
What is the equivalent expression of 3(7e+1)=
Answer:
210 i hope i helped you with this question
A. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
C
Step-by-step explanation:
Both the figures are mirror images of each other and equidistant from the y-axis, so they are reflected across the y-axis.
Answer:
Reflection
Step-by-step explanation:
Figure one was reflected accross the y axis to create figure two :)
Have an amazing day!!
Please rate and mark brainliest!!
When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.
A) 23,445
B) 23,345
C) 23,395
D) 23,410
E) 23,451
Answer:
I think the answer is B 23,345
Hi can someone plss help me with these 2 questions. Im really struggling with them.
Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.
What is health?It should be noted that health simply means the state of being free from illness or diseases.
In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.
Learn more about health on:
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HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
if this helped, please consider giving brainliest !
What is the lateral area and surface area of the cone shown below?
Answer:
Lateral Area = 906.3
Surface Area = 461.8
Step-by-step explanation:
1. Find Values:
Diameter = 14
Radius = 7
Height = [tex]\sqrt{19^{2}-7^{2} }[/tex]=17.7
2. Find Lateral Area:
LA= [tex]\frac{1}{3}[/tex] * PI * [tex]r^{2}[/tex] * h
LA = 906.3
3. Find Surface Area:
SA = PI * r * slant height + (2 * PI * r)
SA = 461.8
help please!!!!!11!!!1!!
Answer:
2.1 meters
Step-by-step explanation:
[tex]13.8=2w+2(w+2.7)[/tex]
[tex]13.8=2w+2w+5.4[/tex]
[tex]13.8=4w+5.4[/tex]
[tex]8.4=4w[/tex]
[tex]2.1=w[/tex]
The sequence below is arithmetic:
{3, -6, -15,-24}
True
False
Answer:
True
Step-by-step explanation:
For the sequence to be arithmetic there must be a common difference d between consecutive terms.
a₂ - a₁ = - 6 - 3 = - 9
a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9
a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9
There is a common diffence between consecutive terms, thus the sequence is arithmetic.
Please help, will give brainliest
Answer:
question5=B that is the answer
can you guys help me plss thank you
Answer:
G: 770 yards
A: diameter
O: multiplication/division
N: 770 = 2πr
S: D = 2r = 770/π
A: 770/π or ≈ 245.0986 yards
Step-by-step explanation:
Hope this helps!
Answer:
Given: circumference = 770 yards
Asked: Diameter of the circle
Solution:
pi x d = 770
d = 770/ pi