[tex]\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 2\\\\\text{Common difference,}~ d=4 -2 = 2\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=2+(n-1)2\\\\~~~~~~~~~~~~~=2+2n-2\\\\~~~~~~~~~~~~~=2n[/tex]
1.55y-(5y-17)/100=0.02
Answer:
Multiply to remove the fraction, then set equal to 0 and solve.
Exact Form: y = − 1/10
Decimal Form: y = − 0.1
Step-by-step explanation:
Answer:
y = -1/10 or -0.1
Step-by-step explanation:
Multiply both sides of the equation by 100.
To find the opposite of 5y−17, find the opposite of each term.
The opposite of −17 is 17.
Combine 155y and −5y to get 150y.
Subtract 17 from both sides.
Subtract 17 from 2 to get −15.
Divide both sides by 150.
Reduce the fraction
to lowest terms by extracting and canceling out 15.
Part b find the total number of pounds of cheese ordered. a. 11 pounds b. 13 pounds c. 15 pounds d. 17 pounds
Answer:
B po I'm sure that's is answer thank you
Question:-
Given roots of equation:-
[tex] \sf x = \frac{2}{3} \: nd \: x=-3[/tex]
Find a nd b in ax²+7x+b =0
[tex] \\ \\ \\ [/tex]
Need lil help ~
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
given - an equation and its roots !
To find - values of a and b in the given equation ~
[tex]Quadratic \: eq {}^{n} = ax {}^{2} + 7x + b = 0 \\ [/tex]
roots of the question are [tex] \dashrightarrow - 3 \: and \: \frac{2}{3} \\ [/tex]
Now ,
[tex]Sum \: of \: zeroes \: ( \: \alpha \: + \: \beta \: ) = - \frac{ - b}{a} \\ \\ \implies \: - 3 + \frac{2}{3} = \frac{ - 7}{a} \\ \\ \implies \: \frac{ - 9 + 2}{3} \\ \\ \implies \frac{ - 7}{3} = \frac{ - 7}{a} \\ \\ \underline{on \: comparing} \\ \\\bold\red{\implies \:a = 3}[/tex]
further ,
[tex]Product \: of \: zeroes \: ( \: \alpha \: \times \beta \: ) = \frac{c}{a} \\ \\ \implies \: (- \cancel {3})( \frac{2}{\cancel3} ) = \frac{b}{a} \\ \\ \implies \: - 2 = \frac{b}{3} \\ \\ \implies \: b = 3 \times - 2 \\ \\ \bold\red{\implies \: b = - 6}[/tex]
hope helpful :D
Ibrar buys 3kg of apples. He also buys 0.4kg of mushrooms. The total cost is £6.93. 1kg of apples cost £1.95. Work out the cost of 1kg of mushrooms
Answer:
1 kg of mushrooms costs £2.7.
Step-by-step explanation:
Step 1: Write equations.
Let a be the cost of apples per kg and m the cost of mushrooms per kg.
First equation: Ibrar buys 3 kg of apples. He also buys 0.4 kg of mushrooms. The total cost is £6.93.
[tex]3a + 0.4m = 6.93[/tex]
Second equation: 1 kg of apples cost £1.95.
[tex]a = 1.95[/tex]
Step 2: Solve the system of equations.
1) [tex]3a + 0.4m = 6.93[/tex]
2) [tex]a = 1.95[/tex]
Substitute a in the first equation with a from second.
[tex]3a + 0.4m = 6.93\\3(1.95) + 0.4m = 6.93[/tex]
Solve for m.
[tex]5.85 + 0.4m = 6.93\\0.4m = 6.93 - 5.85 \\0.4m = 1.08\\m = \frac{1.08}{0.4}\\m = \text{\£}2.7[/tex]
The cost of 1 kg of mushrooms is £2.7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Ibrar buys 3kg of apples
Ibrar buys 0.4kg of mushrooms.
The total cost is £6.93
3x+0.4y=6.93...(*)
1kg of apples cost is £1.95
x=1.95
Substitute the value of x in *
3(1.95)+0.4y=6.93
5.85+0.4y=6.93
Subtract 5.85 on both sides
0.4y=6.93-5.85
0.4y=1.08
Divide both sides by 0.4
y=2.7
Hence, the cost of 1 kg of mushrooms is £2.7.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find the solution set of the inequality:
8x+2 > 34
find solution for x:
Answer:
Solution
Correct option is E)
To find the solution we split the inequality ∣2x+7∣>11 in two inequality ∣2x+7∣>11 and ∣2x+7∣<−11
⇒2x+7>11
⇒2x>11−7
⇒2x>4
⇒x>2
⇒2x+7<−11
⇒2x<−11−7
⇒2x<−18
⇒x<−9
∴x<−9 or x>2
Step-by-step explanation:
What do you think?
And don't forget to follow tu
PLEASE HELP!!!
What type of association does the following scatterplot plot represent
A-Positive linear association
B-Negative linear association
C-Positive nonlinear association
D-Negative nonlinear association
Answer:
b
Step-by-step explanation:
...
Multiply.
- 5x(2x²y - 3xy² + 5)
A. - 10x³y + 15x²y² - 25x
B. - 10x³y - 15x²y² - 25x
C. - 10x²y + 15xy² - 25x
D. - 10x²y - 15xy² - 25x
A retailer sells volleyball nets for $36 that were acquired at a cost of $16. What percentage is the mark-up?
Write your answer using a percent sign (%).
Answer:
5.76
Step-by-step explanation:
Let f be the function given by f(x) = x^3 5x for what value in the closed interval [1,3]
If the average rate of change is 18, then the value of the x is √(13/5). Then the correct option is B.
What is the average rate of change?It's an average of how far the functions changed per unit throughout that time period.
Let f be the function given by f(x) = x³ + 5x.
Then the value in the closed interval [1,3] will be
The instantaneous rate of change will be
[tex]f'(x) = 3x ^2 + 5[/tex]
Then the average rate of change will be
[tex]= \dfrac{f(3) - f(1)}{3-1} \\\\= \dfrac{(3^3 + 5\times 3) - (1^3 + 5 \times 1)}{3-1}\\\\= 18[/tex]
Then we have
3x² + 5 = 18
Then the value of x will be
[tex]\begin{aligned} \rm 3x^2 + 5 &= 18\\\\\rm x &= \sqrt{\dfrac{13}{3}} \end{aligned}[/tex]
More about the average rate of change link is given below.
https://brainly.com/question/24062595
#SPJ4
Cartographers, navigators, and surveyors are a few of the professionals that use instruments relying heavily on trigonometry.
Look up these professions and one other not listed and describe how trigonometry is used in each of them. Do you see how trigonometry is important in your everyday life? Why or why not?
Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.
Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.
How important is trigonometry?Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.
Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.
Find out more about trigonometry here:
https://brainly.com/question/24349828
#SPJ1
Answer:
This was my answer, I did a lot of research for it
Step-by-step explanation:
According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.
Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."
Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."
Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."
Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.
HELP ME PLEASE!!!!!!!!!!!
Answer: ITs B
Step-by-step explanation: because the Ir which mean of real numbers the range is the higher number
27 Keane drives his car 180 miles from his home in Bristol to Liverpool. He leaves his home at 09 30 and arrives in Liverpool at 12 42. Work out the average speed of Keane’s journey in mph.
The average speed of Keane’s journey in mph is 56.25 mph (miles per hour)
Calculating Average speedFrom the question, we are to determine Keane's average speed
Average speed is given by the formula,
Average speed = Distance / Time
Distance travelled = 180 miles
Now, we will calculate the time spent
From the given information,
He leaves his home at 09:30 and arrives in Liverpool at 12:42
09:30 to 12:42 is 3 hours 12 minutes
∴ Time = 3 hours 12 minutes = 3 + (12/60) hours = 3.2 hours
Thus,
Average speed = 180 / 3.2
Average speed = 56.25 mph (miles per hour)
Hence, the average speed of Keane’s journey in mph is 56.25 mph (miles per hour)
Learn more on Average speed here: https://brainly.com/question/6504879
#SPJ1
D is at the top of a tree 8 meters tall. you are on the ground, 10 meters away from the bird. how far are you
the base of the tree?
710 meters
36 meters
6 meters
v6 meters
MULTIPLE CHOICE Which ordered pair is a solution of the linear system
x + y = -2 and7x
4y = 8?
A (-2, 0)
B (0, -2)
C (2, 0)
D (0,2)
Answer:
A. (-2, 0)
I hope this helps you.
describe another way you could slice the pyramid that would result in a different cross section
Answer:
45 degree ange slice
Step-by-step explanation:
In six hours, yokai reads 36 chapters. What is her rate in chapters per hour?
Answer:
6
Step-by-step explanation:
You would divide the total number of hours by the number of hours to come to the final answer of 6
please mark brainliest (:
ABC Bookstore sells one customer 12 used books and 4 new books for 136. Another customer buys 14 used books for 124. How much is one used book (u), and one new book (n)?
An equation is formed of two equal expressions. The cost of a new book is $7.43, while the cost of an old book is $8.86.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the cost of 14 used books is $124. Therefore, the cost of a single used book is,
Cost of single used book(u) = 124/14 = $8.86
Also, the cost of 12 used books and 4 new books is $136. Therefore, the equation can be written as,
12u + 4n = 136
12(8.85) + 4n = 136
106.2 + 4n = 136
n = $7.43
Hence, the cost of a new book is $7.43, while the cost of an old book is $8.86.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
what is parallel, perpendicular, and intersecting lines?
what is the area of 3m circumferense NONSENCE REPORT!
[tex]~~~~~~\text{Circumference}~ = 2 \pi r\\\\\\\implies r = \dfrac{\text{Circumference }}{2\pi}\\\\\\\implies r = \dfrac{3}{2\pi} \\\\\\\text{Now,}\\\\\text{Area} = \pi r^2 \\\\~~~~~~~~=\pi \left( \dfrac{3}{2\pi} \right)^2\\\\\\~~~~~~~~=\pi \cdot \dfrac{9}{4\pi^2}\\\\\\~~~~~~~~=\dfrac{9}{4\pi}\\\\\\~~~~~~~~\approx0.72[/tex]
Which equation correctly demonstrates the distributive property?
A. 7(6c - 4d) = 14cd
B. 30(3a + 2b) = 90a + 60b
C. 16(3j - 4k) = 48j - 4k
D. 4(2f + 5g) = 28fg
Answer:
B.
Step-by-step explanation:
b is the correct answer
What word best describes the DEMAND for snow boots in Florida?
A. High in the winter
B. High all year long
C. Low in the fall
D. low all year long
Answer:
D low all year long because it doesn't snow in Florida
Step-by-step explanation:
Answer:
D. Low all year long
Step-by-step explanation:
It rarely snows in Florida, even in northern Florida.
WILL GIVE BRAINLIST TO NEST ANSWER
What conclusions can you make about the study times and test scores ?
A jar contains 3 blue marbles and 2 red marbles.
A marble is randomly selected from the jar and replaced, and then a second marble is chosen.
The probability that a blue marble was chosen both times is __%.
Answer: 9/25 or 36%
Step-by-step explanation:
The first time it is a probability of 3/5, and the second blue also has a prbability of 3/5. Multiply them together since it is an "and" situation, and you get 9/25. Or, in percentages, it is 60% * 60%, or 0.6 * 0.6, which is 36% or 0.36. Hope this helps!
Answer:
the correct answer is 36%
Step-by-step explanation:
I got it right on Edmentum
Hook me up with a 5 star and a thanks :)
Help me pls which one ahhh ??? Help will make brainlessly
Answer:
C
Step-by-step explanation:
There are nine lines between 0 and 1
The line the red dot is on is 0.9
Complete the table for the given rule.
Rule: y=x-4
6
0
4
Answer:
see below
Step-by-step explanation:
y = − x − 4
is in the slope-intercept form for a linear equation,
y = m x + b , where m is the slope and b is the y-intercept. In the given equation,
m = − 1 and b = − 4 .
Ordered Pairs
x = 10 when y = 6x = 4 when y = 0x = 8 when y = 4Thus, [tex]x=10[/tex], [tex]x=4[/tex], and [tex]x=8[/tex]
J(2,−1), K(4,−5), L(3, 1) reflection x axis
Answer:
△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
Step-by-step explanation:
If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are not congruent.
- Jackson
5 stars on your answer. And a "thank you".
Answer:
the 4th option because 24 months times the amount plus the 39.99 to set up would get you a final answer
Answer:
39.99/24c = 351.75
24c + 39.99 = 351.75
Where c is the cost to set up an account
Step-by-step explanation:
Knowing that it given:
What is the cost(c) month for using the service for 24 months?
That means "Cost = c"
That leads us to the answer:
"Where c is the cost to set up an account"
We also know that we are finding for the 24 months thus 24c.
That leads us to
24c + 39.99 = 351.75 and 39.99/24c = 351.75
Hence, the answers are:
39.99/24c = 351.75
24c + 39.99 = 351.75
Where c is the cost to set up an account
Kavinsky
Write the expression using exponents. 95 · 95 · 95 · 95 95
Answer:
95 to the power of 5
Step-by-step explanation:
Simplify 68.5/100 * 30.
Answer:
The answer to the question is 20.55.
Answer:
20.55
Step-by-step explanation:
1 Simplify 68.5/100 to 0.685.
0.685×30
2 Simplify.
20.55
My sister and I each brought a bottle of sunblock to the beach. My bottle had 89ml and my sister’s had 147ml. How much more sunblock did my sister have?
Answer:
58 more ml
Step-by-step explanation:
147-89=58 ml.
