Answers
Answer:
136 = 9x+10 (alternate interior angles for parallel lines m and n)
9x = 126
x = 14
Step-by-step explanation:
Stop by my you tube channel "Sciency Sergei". You may suggest a topic to discuss or problem to solve.
Related Questions
13. 6 + 10 + 14 + ... + 38
Find the sum of the arithmetic series
Answers
Answer:
The sum of the series = 198.Step-by-step explanation:
In the given arithmetic series,
The first term (a) = 6Common difference (d) = (aₙ – aₙ₋₁) = 10 - 6 = 4Last term (aₙ) = 38To find the sum of the series, we need to find the number of terms (n) at first. So,
[tex]a_{n} = a + (n - 1)d\\38 = 6 + (n - 1) 4\\38 - 6 = 4n - 4\\32 = 4n - 4\\32 + 4 = 4n\\36 = 4n\\36 \div 4 = n\\\boxed{9 = n}[/tex]
Now, let's find the sum of the arithmetic series (Sₙ).
[tex]S_{n} = \frac{n}{2} [2a + (n - 1)d]\\S_{n} = \frac{9}{2} [2*6 + (9 -1)4]\\S_{n} = \frac{9}{2} [12+ (8*4)]\\S_{n} = \frac{9}{2} [12+ 32]\\S_{n} = \frac{9}{2} (44)\\S_{n} = 9*22\\\boxed{S_{n} = 198}[/tex]
The sum of the series = 198._______________
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
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) =
Answers
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
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!
Answers
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]
 The first figure is dilated  two from the second figure 0.6 1.5
Answers
The second image is larger so the scale needs to be larger than 1.
to find the scale divide the larger k own side by the smaller similar side:
1.5/0.6 = 2.5
The scale factor is 2.5
Solve one ninth divided by eight by rewriting the division problem as a multiplication problem.
Answers
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
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
Answers
Answer:
c. anytime
Step-by-step explanation:
if it is stated that a = b, then a always equals b
[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:)
Answers
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]
Johnny has 2.6 pounds of bananas,3.1 pounds of grapes, and 6.3 pounds of apples. How many pounds of fruit does Johnny have altogether? Show or explain how you solve.Johnny has 2
Answers
answer:
the answer is 12 pounds
Step-by-step explanation:
Amount of Bananas that Johnny has= 2.6 pounds
Amount of grapes that Johnny has=3.1 pounds
Amount of apples that Johnny has = 6.3 pounds
Total weight of the fruits= 2.6+3.1+6.3=12 pounds
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).
Answers
Answer: 25
Step-by-step explanation:
What is the difference between confidence level and confidence interval.
Answers
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.
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
Answers
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!
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.
Answers
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
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?
Answers
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 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
Answers
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.
Fill in the blank so that the ordered pair is a solution of y = 9x – 9.
( __ ,63)
Answers
Answer:
(8, 63)
Step-by-step explanation:
Substitute 63 for y and solve for x. x =8.
Select all the correct answers. Which figures have point symmetry?
Answers
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
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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?
Answers
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?
Answers
0.2 iis the answer you are loooking for when you say pal is not formed
Divide using long division.
-15x3 + 37x2 - 8x - 6/3x-5
Answers
[tex]{\pmb{\bf{Refer \: to \: the \: attachment \: :D}}}[/tex]
To make 100g of jam you need 41g of strawberries, 13g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.
Answers
Answer:
13 : 46
Step-by-step explanation:
First, find amount of sugar.
= 100 - 41 - 13
= 100 - 54
= 46
Blackberries : Sugar
= 13 : 46
Answer:
13 : 46
Step-by-step explanation:
amount of sugar required = 100 - 41 - 13 = 100 - 54 = 46 g
ratio of blackberries : sugar = 13 : 46
What formula is used for calculating volumes of liquids?.
Answers
question in picture 30 points if you answer right
Answers
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.
Plsss i need this ASAP i will give 30 points
Find the LCM for each pair of numbers.
7. 4,9
8. 3,6
9. 8,10
10. 3,5
11. 12,5
12. 4,11
Answers
Answer:
see below
Step-by-step explanation:
7. 4=2^2, 9=3^2, 9*4=36, lcm =36
8. 3=3, 6=3*2, 3*2=6, lcm=6
9. 8=2^3, 10=2*5, 2^3*5=40, lcm = 40
10. 3=3, 5=5, 3*5=15, lcm = 15
11. 12=2^2*3, 5=5, 12*5=60, lcm = 60
12. 4=2^2, 11=11, 4*11=44, lcm =44
use the elimination method to solve the system of equations. choose the correct ordered pair
x + y = 3
y = 9
Answers
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)
Find the commission.
Earning Commission
Sales Commision Rate Commission
$540
5%
?
The commission is $
$
Answers
Answer:
The answer is $27
Step-by-step explanation:
540 x .05 = 27
Take the commission rate and move the decimal over to the left twice.
Then you multiply it by the sale price.
What’s the inequality notation of 8 - 4x > -4? Here’s the question:
Answers
Answer:
>
Step-by-step explanation:
8-4x>-4
4x>8+4
4x>12
x>3
Convert fraction to equaivlent
17
__
6
Answers
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]
a classroom is about 29 feet wide. how wide is this in inches? one foot = 12 inches
Answers
Answer:
348in
Step-by-step explanation:
29×12=348
hope this helps
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)
Answers
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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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.
Answers
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
