Proof:
Multiply both of the sides by 3. You would get 12d = c - d. Add d on both sides, and you would get c = 12d
Here, we are required to proof c = 13d from 4d=1/3(c-d)
Ultimately, c = 13d (proof)
We have;
4d=1/3(c-d)Cross product
4d × 3 = c - d
therefore, By collecting like terms;
C = 12d +d
and Ultimately, c = 13d ......
Read more:
https://brainly.com/question/21406377
the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle
Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
Raise to the power:
[tex](-3y)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]
[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81
Answer:
The first five terms are 6, 11, 21, 41, 81 ⇒ D
Step-by-step explanation:
∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2
∴ The first term of the sequence is 6
∴ The value of n represents the position of the term
∵ n = 2
∴ a (n - 1) = a(2 - 1) = a1
∵ a1 = 6
→ Substitute a1 by 6
∴ a(2) = 2(6) - 1 = 12 - 1
∴ a(2) = 11
∵ n = 3
∴ a (n - 1) = a(3 - 1) = a2
∵ a2 = 11
→ Substitute a2 by 11
∴ a(3) = 2(11) - 1 = 22 - 1
∴ a(3) = 21
∵ n = 4
∴ a (n - 1) = a(4 - 1) = a3
∵ a3 = 21
→ Substitute a3 by 21
∴ a(4) = 2(21) - 1 = 42 - 1
∴ a(4) = 41
∵ n = 5
∴ a (n - 1) = a(5 - 1) = a4
∵ a4 = 41
→ Substitute a4 by 41
∴ a(5) = 2(41) - 1 = 82 - 1
∴ a(5) = 81
∴ The first five terms are 6, 11, 21, 41, 81
Which of the following values are solutions to the inequality
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.
Answer:
Yes
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
As the x values increase, the y values decrease
Answer:
1. That means as the X value decreases the y value increase
2. That means it's a negative Line.
3. The slope is negative
Step-by-step explanation:
2u - 6u =
( worth 10 points)
What is the value of x? Please provide an explanation, thanks!
Answer:
x=97/5Step-by-step explanation:
let y be the opposite angle,
6x-11 + y = 180( sum of opposite angles)
y=180+11-6x
y=191 - 6x
thus, 81+x+5+191-6x=180(angle sum property)
-5x=-97
x=97/5Hai came someone help I too lazy to do it...
Answer: 4 Cups
I think in order to solve this, you would need to add up the fractions that they used. So it would be,
[tex]\frac{1}{4}+\frac{1}{4}+\frac{3}{8}+\frac{3}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{7}{8}[/tex] Transform the Expressions
[tex]\frac{1+1}{4} +\frac{3+3+5+5+5+7}{8}[/tex] Calculate the sum
[tex]\frac{2}{4} +\frac{28}{8}[/tex] Reduce
[tex]\frac{1}{2}+\frac{7}{2}[/tex] Transform the Expression
[tex]\frac{1+7}{2}[/tex] Calculate
[tex]\frac{8}{2}[/tex] Reduce the Fraction
[tex]4[/tex]
Please mark brainliest if this helped you :)
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35
Answer: 20.5
Step-by-step explanation:
subtract 0.05 from each answer until you get 20 terms then add those terms up
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.
What is the probability that both will be girls?
Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.
Answer:
I think the is 18-10s
Step-by-step explanation:
hope that helps
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240
Answer:
200
Step-by-step explanation:
100/250= 0.4
0.4* 200= 80
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Answer: $8.48
Step-by-step explanation: 8x.06 = .48 +8 = $8.48
PLEASE HELP WILL GIVE 20 POINTS
Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.
Answer:
$150.50
Step-by-step explanation:
I = 450 × 0.05 × 7 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 450.00
at a rate of 5% per year
for 7 years is $ 157.50.
Hellooo :)
The answer is I = $ 157.50
What is the correct answer for both ?
Answer:
19. Option A
20. Option B
Step-by-step explanation:
Can someone please actually help me with my math assignments
Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
B. 8
C. 4
D. -4
Need help ASAP!! Tysm will mark brainliest
Answer:
about 30 then you will still fall short of that mark
HOPE IT HELP I AM NOT WANTING TO BE INCORRECT
Step-by-step explanation:
this is idiotic sense all the 3's will fall short
please help i will mark brainliest
Answer:
180, i already commented it but like i even looked it up a straight line is 180
Step-by-step explanation:
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
What is the zero of this radical function? x = -4 x = -2 x = 2 x = 4
Answer:
x = -4
Step-by-step explanation:
Answer: -4 is correct
Step-by-step explanation:
Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?
Answer:
A scale of fivce hundred should be the correct answer
Step-by-step explanation:
Answer:
1cm=50km
Step-by-step explanation:
325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.
10 x what equals 66??
Answer:
6.6
Step-by-step explanation:
10x(x)=66
x=66/10
x=6.6