Answer:
Step-by-step explanation:
The arithmetic sequence should have a common difference. If the common difference is positive integer then the arithmetic sequence is in increasing order. If the common difference is negative integer then it will be decreasing order.
Eg. 5 , 10 , 15 ,........ Common difference = +5
24, 20 , 16 ...... Common difference = -4
Divide using long division.
-15x3 + 37x2 - 8x - 6/3x-5
[tex]{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}[/tex]
What set of numbers are shaded on the hundred chart?
hundred chart with 12, 24, 36, 48, 60, 72, 84, and 96 shaded
Choose 1 answer:
(Choice A)
A
Only the factors of 12
(Choice B)
B
Only the multiples of 12
(Choice C)
C
Only the factors of 8
(Choice D)
D
Only the multiples of 8
Answer:
Is letter B the correct one.
Step-by-step explanation:
If you take that 12 and then multiply it x1, x2, x3, x4, x5, x6, x7 and x8 you will get the numbers in the Chart.
seventy concert tickets were sold for $550. each adult ticket cost $9 and each childrens ticket cost $5. find the number of adult tickets and the number of childrens tickets sold
put the equations to :)
Answer:
Total tickets = 70
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
Hope this helps - Itz.Jordan
A mixture contains ninety-two ounces of glycol and water and is forty-five percent glycol. If the mixture is to be weakened to thirty percent, how much water must be added?
Answer:
The original mixture contains 41.4 ounces of glycol. for this to be 30 percent of the mixture, the total mixture must be 138 ounces, so 46 ounces of water must be added.
What is the difference between confidence level and confidence interval.
Answer:
The confidence level is the percentage of times you expect to get close to the same estimate if you run your experiment again or resample the population in the same way. The confidence interval consists of the upper and lower bounds of the estimate you expect to find at a given level of confidence.
Consider an experiment in which the letters "A"
"L"
and "P" are written on 3 separate
slips of paper and placed in a box. Three slips are then drawn randomly one at a time, without
replacement, and the letters appearing on the ships are written down from left to right in the order in
which they are drawn.
Write out the sample space of possible arrangements. After writing the sample
space, what is the probability that the word "PAL" is NOT formed?
0.2 iis the answer you are loooking for when you say pal is not formed
according to the substitution property of equality, if a=b, then ''a'' may be replaced with ''b''
A. sometimes
B. only once
C. any time
D. at no time
Answer:
c. anytime
Step-by-step explanation:
if it is stated that a = b, then a always equals b
Select all the correct answers. Which figures have point symmetry?
Answer:
its the first second and third ones:)
Step-by-step explanation:
I just took the test and got a 100%
I hope this helps:) <3
Figure A, B, D have point symmetry.
What is point symmetry?Point Symmetry is when every part has a matching part the same distance from the central point but in the opposite direction. It looks the same when viewed from opposite directions (180° rotation).
Try imagining how each of the figure will look after rotating it for 180°. If it looks exactly same as the original figure, it has point symmetry.
Learn more about point symmetry here
https://brainly.com/question/1593820
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Solve one ninth divided by eight by rewriting the division problem as a multiplication problem.
Answer:
Step-by-step explanation:
[tex]\frac{1}{9}[/tex] ÷ 8
= [tex]\frac{1}{9}[/tex] * [tex]\frac{1}{8}[/tex]
= [tex]\frac{1}{9*8}[/tex]
= [tex]\frac{1}{72}[/tex]
Now
[tex]\\ \rm\rightarrowtail 1/9\div (8)[/tex]
[tex]\\ \rm\rightarrowtail 1/9(1/8)[/tex]
[tex]\\ \rm\rightarrowtail 1/72[/tex]
Done
HELP ASAP, PLEASE!!!!
A school is implementing an SAT preparation program. To study the program's effectiveness, the school looks at participants' SAT scores before starting the program and after completing the program. The results are shown in the table:
A B C D E F G
Before 1060 980 1140 1040 1000 960 1200
After 1040 1020 1180 1040 980 1020 1240
Difference 20 -40 -40 0 20 -60 -40
How is the test statistic calculated. (Note that intermediate calculations have been rounded to 2 decimal places.)
Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:
[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_1: \mu \neq 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, [tex]\mu = 0[/tex] is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
[tex]\overline{x} = -20, s = \sqrt{32.66}, n = 7[/tex].
Hence, the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}[/tex]
[tex]t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16313918
question in picture 30 points if you answer right
Answer:
C
since volume of rectangular prism is given by V=wlh
the volume of the small cubic blocks is (1/5)^3= 1/125
hence we need 4 of the small cubic blocks.
Mark is also trying to save money. He already has $3.00 saved and puts $1.00 per week away in
his piggy bank. This can be represented by the equation y = x + 3
¿Will Jen or Mark save $20.00 first? Justify your reasoning.
Answer:
Mark will save $20 in 17 weeks, but there is no equation for Jen.
Step-by-step explanation:
y = x + 3
1) replace y with $20
20 = x + 3
2) subtract 3 from both sides
17 = x
Convert fraction to equaivlent
17
__
6
Answer:
[tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]
some equivalent fraction examples of [tex]\frac{17}{6}[/tex]:
[tex]\dfrac{17}{6} *\dfrac{2}{2} = \dfrac{34}{12}[/tex][tex]\dfrac{17}{6} *\dfrac{3}{3} = \dfrac{51}{18}[/tex][tex]\dfrac{17}{6} *\dfrac{4}{4} = \dfrac{68}{24}[/tex][tex]\dfrac{17}{6} *\dfrac{5}{5} = \dfrac{85}{30}[/tex]Therefore the equivalent fractions are [tex]\frac{34}{12}[/tex] , [tex]\frac{51}{18}[/tex] , [tex]\frac{68}{24}[/tex] , [tex]\frac{85}{30}[/tex]
Two birds are flying south for the winter. Bird 1 reaches its destination in 6. 0 hours, while bird 2 reaches its destination in 12 hours. If bird 2 covers twice as much distance as bird 1, what is the ratio of their velocities (bird 1/bird 2)
Answer:
their velocities are identical
Step-by-step explanation:
T1 = 6.0 h and T2 = 12 hours
V1 = d/6 and V2 = 2d/12
so V1 = V2 = d/6
The ratio of velocities of bird 1 and bird 2 is 1, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line. "
Let, the distance covered by the bird 1 is x km.
Then, the distance covered by the bird 2 is 2x km.
Given, the time taken by bird 1 to reach the destination is 6 hours.
The time taken by bird 2 to reach the destination is 12 hours.
Therefore, velocity of the bird 1 is = [tex]\frac{x}{6}[/tex] km/hour.
Velocity of the bird 2 is = [tex]\frac{2x}{12}[/tex] km/hour = [tex]\frac{x}{6}[/tex] km/hour.
Therefore, the ratio of velocities of bird 1 and bird 2 is
= [tex]\frac{x}{6}[/tex] / [tex]\frac{x}{6}[/tex]
= 1
Learn more about linear equation here: https://brainly.com/question/18125827
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Susan scheduled 84 appointments for patients at a hospital outreach clinic. Only 56 patients kept their appointment. What fraction of the scheduled appointments were kept?
The box plots show the math scores of students in two different classes:
Based on the box plots, which statement is correct? (4 points)
The median score of Class A is greater than the median score of Class B.
The lower quartile of Class A is greater than the lower quartile of Class B.
The upper quartile of Class A is greater than the upper quartile of Class B.
The maximum score of Class A is greater than the maximum score of Class B.
Answer:
1st statement
Step-by-step explanation:
The line inside the box is the median.
Since in Class A the median line is on around 80 whilst Class B's median is 75.
So Median of
Class A > Class B
Due in 2 minutes, please help me!
1+2+3+4+5+...+112
Step-by-step explanation:
we can idnetify that it is arithmetic due to it being a linear sequnce. Therefore we find Tn and equate it to the last term to find the number of terms. We then use that to find the sum of the series using the following formula where n is the number of terms, a is the first term and L represents your last term.
[tex] [/tex]
[tex] \rm \: Find \: \frac{dy}{dx} if \: y = sin \: x \degree[/tex]
[tex]\rm \: Hint :y= sin x° = sin( \frac{\pi \: x}{180} )[/tex]
( Convert degree to ratio )
[tex] \: \: \: [/tex]
Thanku:)
Answer:
Given that:
[tex]\longmapsto{ \large{ \rm{y = \sin \:x \degree}}}[/tex]
We know that,
[tex] \dashrightarrow{ \boxed{ \red{ \rm{1 \degree = \left ( \frac{\pi}{100} \right)^{c} }}}}[/tex]
So, using this, above given can be written as,
[tex]{ \large{ \longrightarrow{ \rm{y = \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]
On differentiating both sides w.r.t. x, we get:
[tex]{ \large { \longrightarrow{ \rm{ \frac{d}{dx}y = \frac{d}{dx} \sin \left( \frac{\pi x}{180} \right) }}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} \sin x = \cos x }}}}}[/tex]
So, using the result, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{d}{dx} = \cos \left( \frac{\pi \: x}{180} \: \right) \frac{d}{dx} \left( \frac{\pi \: x}{180} \right) }}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx}k \: f(x) = k \frac{d}{dx} \: f(x)}}}}}[/tex]
So, using this, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \cos \left( \frac{\pi \: x}{180} \right) \: \times \: \left( \frac{\pi}{180} \right) \frac{d}{dx} x}}}}[/tex]
We know that,
[tex]{ \dashrightarrow{ \boxed{ \red{ \rm{ \frac{d}{dx} x= 1 }}}}}[/tex]
So, using this, we get:
[tex]{ \large{ \longrightarrow{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \: \cos \left( \frac{\pi \: x}{180} \right ) \times 1}}}}[/tex]
Hence:
[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \left( \frac{\pi \: x}{180} \right) }}}}}[/tex]
OR[tex]{ \large{ \leadsto{ \green{ \rm{ \frac{dy}{dx} = \left( \frac{\pi}{180} \right) \cos \: x \degree }}}}}[/tex]
[tex] \: \: [/tex]
Learn More:
[tex] \boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]
the equation of a function is y=2\3x +1\3 find
a] the value of y when'
i] x=-3 ii] x=1 1\2
b] the value of x when
i] y=1 ii] y=-1\6
please help me solve this equation asap i have 100 marks exam tommorow!
Answer:
a) i) y = - 5/3
ii) y = 4/3
b) i) x = 1
ii) x = -3/4
Step-by-step explanation:
[tex]y=\dfrac23x +\dfrac13[/tex]
a) i) [tex]x=-3[/tex]
[tex]\implies y=\dfrac23(-3) +\dfrac13\\\\\\\implies y=\dfrac{-6}{3} +\dfrac13\\\\\\\implies y=\dfrac{1-6}{3} \\\\\\\implies y=-\dfrac53[/tex]
ii) [tex]x=1\frac12=\dfrac32[/tex]
[tex]\implies y=\dfrac23\left(\dfrac32\right) +\dfrac13\\\\\\\implies y=\dfrac{6}{6}+\dfrac13\\\\\\\implies y=\dfrac{3}{3}+\dfrac13\\\\\\\implies y=\dfrac{3+1}{3}\\\\\\\implies y=\dfrac43[/tex]
b) i) [tex]y=1[/tex]
[tex]\implies \dfrac23x +\dfrac13=1\\\\\\\implies \dfrac23x =1-\dfrac13\\\\\\\implies \dfrac23x =\dfrac23\\\\\\\implies x =1[/tex]
ii) [tex]y=-\dfrac16[/tex]
[tex]\implies \dfrac23x +\dfrac13=-\dfrac16\\\\\\\implies \dfrac23x =-\dfrac12\\\\\\\implies x =-\dfrac12 \div \dfrac23=-\dfrac12 \times\dfrac32=-\dfrac34[/tex]
What formula is used for calculating volumes of liquids?.
What’s the inequality notation of 8 - 4x > -4? Here’s the question:
Answer:
>
Step-by-step explanation:
8-4x>-4
4x>8+4
4x>12
x>3
a rabit can run 35 miles per hour.a fox can run 21 miles in half an hour. which animal is faster, an by how much
Answer:
The fox is faster, by 7 miles per hour
Step-by-step explanation:
The fox can run 21 miles in half an hour -> It can run 42 miles in an hour
And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)
Answer:
the fox can run faster by 17 mph!
Step by step explanation:
This problem involves ratios
Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)
So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)
But before we start subtracting, we have to take into account the fact that the time periods are not the same!
To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5
In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide
When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.
21x2=42
So our new ratio is 1:42
Now we can directly compare the two ratios.
42-35=17
So the fox ran faster by 17 miles
PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!
a classroom is about 29 feet wide. how wide is this in inches? one foot = 12 inches
Answer:
348in
Step-by-step explanation:
29×12=348
hope this helps
HELP PLEASE!! | A box of granola bars that costs $4.00 is on sale for “buy 2, get 1 free.” What is the true percent of discount on the box of granola bars to the nearest tenth of a percent?
Answer:
75%
Step-by-step explanation:
PLEASSEEE ANSWERRR
Consider the following figure where △ABC ~ △DBE.
Triangle A B C contains two points and a horizontal line segment.
The left side of the triangle starts at vertex A, travels up and to the right, and ends at vertex B.
The right side of the triangle starts at vertex B, travels down and to the right, and ends at vertex C.
The bottom side of the triangle is horizontal, starts at vertex A on the left, and ends at vertex C on the right.
Point D is located on side A B but is closer to A than B.
Point E is located on side B C but is closer to C than B.
The horizontal line segment extends from point D and ends at point E.
Given:
CB = 12, CE = 2, AD = 5
Find:
DB
(Hint: Let DB = x, and solve an equation).
Answer: 25
Step-by-step explanation:
Please Help!!! All my points are on this.
The graph of a sinusoidal function has a maximum point at (0,10) and then intersects its midline at (π/4,4). Write the formula of the function, where x is entered in radians.
F(x) =
Answer:
y = 6 sin(2x+π/2) +4
Step-by-step explanation:
Given:
-sinusoidal function
-maximum point at (0,10)
-intersects its midline at (π/4,4)
Build the function:
y = sin x , we start with this because is a sinusoidal function
y = sin (x+ π/2), to move the maximum on the y-axis where x= 0
y = sin (2x +π/2), to move the midline from π/2 to a π/4 we need
y = 4+ sin(2x+π/2) , to move the midline from (π/4, 0) to a (π/4, 4)
y = 4+ 6 sin(2x+π/2), to move the max at (0,10), -because the midline is at 4 and the function max at 10 we need 10-4 = 6
In geometry, what's the Supplementary Angle Theorem?.
Answer:
Sum of two angles is 90°: Sum of two angles is 180°
Complementary Angles: Supplementary Angles
Step-by-step explanation:
The supplementary angle theorem states that if two angles are supplementary to the same angle, then the two angles are said to be congruent.
Maria just got a raise at work. She was making $9 per
hour, but now she makes 150% of that amount.
Explain how you would find the amount of money Maria
now makes per hour
Rewrite the percent as a decimal by moving the decimal 2 places to the left:
150% = 1.50
multiply her original pay by the decimal:
9 x 1.50 = $13.50
Answer: $13.50
Answer:
Rewrite the percent as a decimal by moving the decimal 2 places to the left:
150% = 1.50
multiply her original pay by the decimal:
9 x 1.50 = $13.50
Answer: $13.50
Step-by-step explanation:
help please. What is the measure of angle A ?
Answer: 132 degrees
Step-by-step explanation:
use the elimination method to solve the system of equations. choose the correct ordered pair
x + y = 3
y = 9
Answer:
(-6,9)
Step-by-step explanation:
x + y = 3
0 + y = 9
We can subtract the two equations.
(x-0) + (y-y) = (3-9)
x=-6
y=9
(-6,9)