Answer:
subtract 7 at a time like below
Step-by-step explanation:
56-7= 49
49-7= 42
42-7=35
35-7= 28
28-7=21
21-7=14
14-7=7
7-7
Write an equation for the nth term of the arithmetic sequence. Then find a30.
11, 10, 9, 8,
Answer:
a₃₀ = - 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then
[tex]a_{n}[/tex] = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus
a₃₀ = 12 - 30 = - 18
Does anyone know the answer?
Answer:
We conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Base = p+1Perpendicular = 2p-6Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
[tex]=\frac{1}{2}\left(p+1\right)\left(2p-6\right)[/tex]
Factor 2p-6: 2(p-3)
[tex]=\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}[/tex]
Divide the number: 2/2 = 1
[tex]=\left(p+1\right)\left(p-3\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)[/tex]
[tex]=pp-3p+1\cdot \:p-1\cdot \:3[/tex]
[tex]=p^2-2p-3[/tex]
Therefore, we conclude that the area of the right triangle is:
[tex]A\:=p^2-2p-3[/tex]
Hence, option A is correct.
Graph the function f(x) = 4x - 5.
Answer:
On (1.25,0) and (0,-5)
Step-by-step explanation:
At a retail store, Alexander's new glasses normally sell for $167,
but he paid only 65% of the retail price. How much did
Alexander's new glasses cost him?
A
$88.35
$108.55
$100.20
none of these
Alexander's new glasses cost would be the amount of $108.55 which is the correct answer would be an option (B).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Alexander's new glasses normally cost $167 at a retailer, but he only paid 65% of the retail cost.
To determine the amount his new glasses cost
We have to calculate 65% of $167 which is the retail cost.
As per the given information, the solution would be:
⇒ 65% of $167
⇒ (65/100)(167)
⇒ (0.65)(167)
⇒ 108.55
Therefore, his new glasses cost would be the amount of $108.55.
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the equation of line c is y= -7/5x + 5. The equation of line d is y= -7/5x + 6/7. are line c and line d parallel or perpendicular?
Answer:
from parallel concept
m1=m2
-7/5=-7/5
therefore,
line c and line d are parallel
4. Find the value of (a + b)) and (a - b), if a = 5 and b = 7.
Answer:
if a=5 and b=7 so (a+b)=(5+7)=12
(a-b)=5-7= -2
Answer:
(a+b) =12
(a-b) =. - 2
Step-by-step explanation:
You will put the numbers given as a=5 and b=6
In to the value of (a+b) and (a-b)
So it will be
*(a+b) =(5+7)
=(12)
*(a-b) =(5-7)
=(-2)
Determine the number and type of solutions to the equation 5+x+10=0
The answer is -15
x = -15 because 10+5=15 and 15 + -15 = 0
please help me, marking brainliest if correctly
Answer:
x = -11
Step-by-step explanation:
The measure at angle 2 should equal 80 degrees.
You are given that it is equal to x+91. So,
x+91 = 80
x = -11
PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?
Step-by-step explanation:
so the shape gonna be soo long that I wasted yo ur time
About 20% of the population experiences "cybersickness. This happens when the images in 3-D movies look so
real they hinder the brain's ability to sort signals and cause people to get nauseated. To find out if this applies to
teens, an SRS of 30 high school students was asked if they experience cybersickness Eight students said "Yes" To
see if this result is surprising, a simulation is conducted to estimate the probability of obtaining a sample result as
high as this
Let 0-1 represent "Yes" and 2-9 represent "No."
42188
55736
50953
82496
41985
07738
Using the line of random numbers, how many "Yes" responses will there be in the first trial of the simulation?
2
4
15
26
Mark this and return
Save and Exit
Next
Sub
Answer:
answer is b, 4
Step-by-step explanation:
The random number lines shows 4, 0-1 numbers that corresponds to the response "yes". Therefore, option b 4 is correct.
What is cybersickness ?Similar to motion sickness, cybersickness is a mix of sensations that develops when there is no actual physical movement. The three types of symptoms are nausea, oculomotor problems, and general disorientation.
Eye strain, weariness, and headaches are examples of oculomotor symptoms that result from overworking the nerve that regulates eye movement.
The symptoms of disorientation can include vertigo and dizziness. Additionally, numerous cybersickness symptoms, including trouble focusing and fuzzy vision, cross over into different categories.
As per the given results, there are two 1s and two 0s in the number lines of the trial. Hence, total response of "yes" is 4.
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Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
Okayy
Step-by-step explanation:
Since T is the centroid which is the center
Also T is a midpoint
Nt=tn=42
Hope this helps
What is 5/3 as a percent
Answer:
%167
Step-by-step explanation:
5 divided by 3 is 1.67 so times that by 100 and you get %167
Answer:
166.666666666667%
Step-by-step explanation:
Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%
Anna and Jose bought a pizza and ate 5 of the 8 slices. Zach and Sarah came over and Anna split the remaining slices evenly between them. How would you determine the fraction of the original pizza that Zach and Sarah each ate?
Answer:
24/2 slices
= 12/1
Step-by-step explanation:
Total slices of pizza = 8
Anna and Jose ate = 5
Slices of pizza remaining = 3
Zach and Sarah came over and Anna split the remaining slices evenly between them
That's is, 3 slices of pizza divided by 2 people
= 3/2
= 1 1/2 slices each
Each of Zach and Sarah ate 3/2 slices of pizza
fraction of the original pizza that Zach and Sarah each ate
= 3/2 of 8
= 3/2 × 8
= 24/2
= 12/1
If c= 16, solve for b
Answer:
8√3
Step-by-step explanation:
cos30=b/16
equating:
√3/2=b/16
b=8√3
Pls help and show workings
Pls check my other questions if you can!
Answer: Choice A. y + 5 = -2(x + 2)
================================================
Explanation:
Let's solve the given equation for y so we can find the slope.
3x - 6y = 2
3x = 2+6y
3x-2 = 6y
6y = 3x-2
y = (3x-2)/6
y = (3x/6) - (2/6)
y = (1/2)x - 1/3
The last equation is in y = mx+b form. We see that m = 1/2 is the slope.
Apply the negative reciprocal to go from 1/2 to -2/1 or just -2.
The original slope is 1/2, and the perpendicular slope is -2.
Rule: multiplying any two perpendicular slopes leads to -1 where neither line can be vertical.
Let's plug in m = -2, x1 = -2 and y1 = -5 into point slope form
y - y1 = m(x - x1)
y - (-5) = -2(x - (-2))
y + 5 = -2(x + 2)
A carousel with a 60-foot diameter makes 3 revolutions per minute. (A) find the angular speed of the carousel in radians per minute. (B) find the linear speed (in feet per minute) of the platform rim of the carousel. What's are the answers?
Answer:
[tex]V=376.9911184feet per minute[/tex]
Step-by-step explanation:
From the question we are told that
60-foot diameter
3 revolutions per minute
a)Generally angular speed can mathematically be given is given as
[tex]W=2\pi f[/tex]
[tex]W=2*\pi*3[/tex]
[tex]W=6*\pi[/tex]
[tex]W=18.84955592[/tex]
b)Generally linear speed is mathematically given as
[tex]V=\omega r[/tex]
[tex]V=6\pi *30[/tex]
[tex]V=120*\pi[/tex]
[tex]V=376.9911184feet per minute[/tex]
I need helppp!!!!!!!
i dont get that either lol pain. why does school have to be so hard
If y varies inversely as x and y = 5 when x = 10, find y when x = 2.
a jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. a marble is selected at random, not replaced, and then a second marble is selected. what is the probability of selecting a red marble followed by a green marble?
Answer:
33/ 338
Step-by-step explanation:
Red = 6
Blue = 9
P.Red = 6/26 = 3/13
P.Green = 11/26
P. Both in turns = 3/13 * 11/26
= 33/338
hope this helps...
Answer:
0.09
Step-by-step explanation:
PLEASE HELP MEEEE! I have no clue what the answer is
Answer:
y = 4x - 4
Step-by-step explanation:
to write a linear equation you need to know 2 components: slope and y-intercept
find slope by selecting 2 points, for example, (1,0) and (2,4)
slope ('m') = difference of y-values 4 - 0 = 4
difference of x-values 2 - 1 1
to find y-intercept ('b'), plug values into the slope-intercept form of a line, which is:
y = mx + b
you need a point and the slope of 4/1; can use any point
we'll use (2,4) where x =2 and y=4 and, again, m = 4
4 = 2(4) + b
4 = 8 + b
-4 = b
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?
Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by
[tex]H=-4.9t^2+5t+2[/tex]
The ball will hit the ground when h=0
[tex]-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}[/tex]
need this today, thanks!
Answer:
Step-by-step explanation:
just click on the photo down bellow
right here
What is the surface area of the rectangular prism?
6 in.Bin.9 in
A.348 in 2
B.432 in.2
C.184 in.2
D.174 in 2
Answer:
348 in^2
Step-by-step explanation:
8 x 9 = 72
6 x 8 = 48
9 x 6 = 54
72 + 72 + 48 + 48 + 54 + 54
348
plz help me with this prob im clueless
Answer:
Well.... your problem isnt even there lol
rohan wants a field in the shape of trapezium . its side along the pond is parallel to and double the side along the road .Area of the field is 10200sqm.What is the length of the side along the river?
plss answer, will mark u the brainlliast
Answer:
The length of side along the river is 68 m
Step-by-step explanation:
Area of trapezium = 10200 m²
Length of side along the road (a) = x
Length of side along the river (b) = 2x
Height = 200 m
We need to find Length of side along the river.
The formula used is: [tex]Area\: of\: trapezium=\frac{a+b}{2}\times h[/tex]
Putting values and finding length:
[tex]Area\: of\: trapezium=\frac{a+b}{2}\times h\\10200=\frac{2x+x}{2}\times 200\\10200=2x+2\times 100\\\frac{10200}{100} =2x+2\\102=3x\\x=\frac{102}{3}\\x=34[/tex]
So, Value of x = 34
Length of side along the road (a) = x = 34
Length of side along the river (b) = 2x = 2(34) = 68
So, the length of side along the river is 68 m
A company that sells toys models their profit with the function
P(x) = −4x3 + 32x2 − 64. Their profit P, in thousands of dollars,
is a function of the number of toys sold x measured in hundreds.
What do the key features of the graph reveal about the profits?
What is the maximum profit the company can make?
9514 1404 393
Answer:
a) profit has a typical curve: negative at low volume, and again at very high volume.
b) $239,407
Step-by-step explanation:
a) The graph is negative below x=1.58, so the break-even point is 158 toys sold. The profit declines steeply above 533 toys sold, to again go negative for 774 toys sold. This sort of curve seems fairly typical.
__
b) The profit is a maximum of $239,407 when 533 toys are sold.
The nucleus of an atom is composed of
Answer:
neutrons and protons
Step-by-step explanation:
Write the equation of the line that passes through the points
(
1
,
5
)
(1,5) and
(
9
,
1
)
(9,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y= -1/2x +5.5
Step-by-step explanation:
hope this helps :)
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
Which statement comparing the modes to the ranges is true?
Answer: A. The modes differ by 40 and the ranges differ by 40.
Step-by-step explanation:
The required, modes differ by 40 and the ranges differ by 40. Option A is correct.
To compare the modes and ranges of the given data, let's first find the modes and ranges.
Last Summer:
140, 220, 190, 180, 190
This Summer:
150, 170, 150, 190, 180
The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.
The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.
The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.
Now, let's compare the modes to the ranges:
Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.
Therefore, the correct statement is:
A. The modes differ by 40 and the ranges differ by 40.
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The given question is incomplete the complete question is given below:
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
Which statement comparing the modes to the ranges is true?
A. The modes differ by 40 and the ranges differ by 40.
B. The modes differ by 20 and the ranges differ by 20.
C. The modes differ by 40, but the ranges differ by 20.
D. The modes differ by 20, but the ranges differ by 40.
what's the answer to 2/5x + 10 = 30
Answer:
your answer would be 50
Step-by-step explanation: