Answer: a = 3; b = 6
[tex](ar^{b})^{4}=81r^{24}\\\\<=>a^{4}.r^{4b}=3^{4}.r^{24}\\\\\\=>\left \{ {{a=3} \atop {4b=24}} \right.\\\\\\<=>\left \{ {{a=3} \atop {b=6}} \right.[/tex]
Step-by-step explanation:
Please help me wiyh this
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Find the period of the graph shown below.
Answer:
π/2
Step-by-step explanation:
Find the period of the graph shown below.
Total time to complete one oscillation is called the period.
The total number of oscillations in the graph is 7 oscillations:
Hence;
7 oscillations = 3π + π/2 = 7π/2
To get the period, we want to know thw angle it takes to complete just one oscillation that is;
1 oscillation = x
Divide both equations:
7/1 = (7π/2)/x
7x = 7π/2
14x = 7π
x = 7π/14
x = π/2
Hence the period of the wave is π/2
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium?
Answer:
1/5
Step-by-step explanation:
medium = (1/2)(blue sale) = (1/2)(3/5)(blue) = (1/2)(3/5)(2/3)(all t-shirts)
medium = 1/5(all t-shirts)
One-fifth of the shop's T-shirts are size medium blue shirts on sale.
Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 1375 pounds. Find the percent of error.
Answer:
The percent error is 99%
Step-by-step explanation
Estimated weight of cat = 10 pounds
Actual weight of cat = 1375 pounds
We need to find the percent of error.
The formula used is: [tex]Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100[/tex]
Putting values and finding percent of error.
[tex]Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100\\Percent\:Error=\frac{|10-1375|}{1375}\times 100 \\Percent\:Error=\frac{|-1365|}{1375}\times 100 \\Percent\:Error=\frac{1365}{1375}\times 100\\Percent\:Error=0.99\times 100 \\Percet\:Error=99\%[/tex]
So, the percent error is 99%
> Question 8
Simplify 7d-5+9c-c-3-4d
>
Question 9
Simplify
5h+3-9g+h-g+7
Answer:
Step-by-step explanation:
here you go mate
Question 8
step 1
7d-5+9c-c-3-4d equation
step 2
7d-5+9c-c-3-4d expand equation
7d+-5+9c+-c+-3+-4d
step 3
7d+-5+9c+-c+-3+-4d combine terms
answer
8c+3d-8
Question 9
step 1
5h+3-9g+h-g+7 equation
step 2
5h+3-9g+h-g+7 expand
5h+3+-9g+h+-g+7
step 3
5h+3+-9g+h+-g+7 combine the terms
answer
-10g+6h+10
can i have brainliest if you dont mind?
Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the same
test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?
Yes, a grade of 87 is higher than a grade of 73.
Yes, the study was done in an academic setting.
No, the experiment was not double-blind.
No, there was no use of a placebo in the experiment.
No, there may be other differences between the two years besides the grades.
E. No, there may be other differences between the two years besides the grades.
This is because every kid is different and Mr. Smith might have just gotten a better group of kids the second year. This is just one factor of many viable options.
May I have brainliest please? :)
4. What is the solution to the equation
-3.5(x + 12) = -2x + 18?
A. X = -40
C. X=4
B. X=-4
D. X= 40
Answer:
A. x = -40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3.5(x + 12) = -2x + 18
Step 2: Solve for x
Distribute -3.5: -3.5x - 42 = -2x + 18Add 3.5x on both sides: -42 = 1.5x + 18Subtract 18 on both sides: -60 = 1.5xDivide 1.5 on both sides: -40 = xRewrite: x = -40WILL MARK BRAINLIEST! (Look at the photo) PLEASE HELPPPP
Answer:
Step-by-step explanation:
a.b.c.e
im not sure don't hate me
Luke ate a snack with 91 total calories. If the chips he ate were 41.2 calories,how many calories were in the rest of his snack?
Answer:
49.8 calories were left!!!
Step-by-step explanation: Just subtract 91-41.2!
what is the answer to this?!
2/3x−1/5x=x−1
Answer: x = 15/8
Explanation: I used a calculator on a website.
Answer:
15/8
Step-by-step explanation:
Hope this helps: )
65% of what number is 27
Answer:
41.54
Step-by-step explanation:
(1, 1) and (4, 3) slope
Answer:
[tex] \huge \boxed{ \boxed{ \frac{2}{3} }}[/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{3 - 1}{4 - 1} = \frac{2}{3} \\ [/tex]
We have the final answer as
[tex] \frac{2}{3} \\ [/tex]
Hope this helps you
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.3 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.80 per gallon. How much did Lou spend on gas? He spent $__ on gas.
Answer:
$26.98
Step-by-step explanation:
1. You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
Answer:
26.98
Step-by-step explanation: 5.3 * 3.8 = 26.98
Steve has 10 biscuits in a tin. There are 5 digestive, 3 chocolate and 2 ginger biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
Probability of choosing two different types of biscuits is [tex]\frac{31}{90}[/tex].
Step-by-step explanation:
We have 10 biscuits in a tin.
There are 5 digestive, 3 chocolate, 2 ginger.
Steve takes two biscuits at random.
There are three combinations of biscuits.
P(d, c) + P(c,g)+P(d,g)
Let's find probability of each.
P(d,c)= P(d)* p(c)
= [tex]\frac{5}{10}*\frac{3}{9}[/tex]
Let's simplify it, we get [tex]\frac{1}{6}[/tex]
Like so, for P(c,g)
P(c,g)= P(c) * P(g)
=[tex]\frac{3}{10}*\frac{2}{9}[/tex]
Let's multiply and simplify, we get [tex]\frac{1}{15}[/tex].
Now, for p(d,g)
P(d, g)= P(d)* p(g)
=[tex]\frac{5}{10} *\frac{2}{9}[/tex]
Let's simplify and multiply, we get [tex]\frac{1}{9}[/tex].
Now, add them together
[tex]\frac{1}{6} +\frac{1}{15} +\frac{1}{9}[/tex]
Now, find LCD to make the denominators as same and then add them together.
LCD is 90
So, find equivalent fraction of each which has denominator as 90.
[tex]\frac{15}{90}+\frac{6}{90} +\frac{10}{90}[/tex] = [tex]\frac{31}{90}[/tex]
After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 2000 meters below the surface of the water, and ascend at 57 meters per hour.
Answer:
35.09hours
Step-by-step explanation:
Since we are not told what to find, we can as well look for the time it took to ascend
Given
Distance below surface of water = 2000m
Speed = 57m/hr
Required
Time
Using the formula;
Speed = Distance/Time
Time = Distance/Speed
Time = 2000/57
Time = 35.09hours
Hence it took 35.09hours to ascend
HELP PLEASEE I WILL GIVE BRAINLEST!! WITH EXPLANATION I NEED HELP WITH PART C THANK YOUU!!!!!!!
Answer:
It will take him 3 minutes
Step-by-step explanation:
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
Answer:
c=ab/2y
Step-by-step explanation:
y=ab/2c
to get rid of the denominator we divide by 2c.
(y=ab/2c)2c
2cy=ab
now we need to get rid of the 2y from the c to isolate it. in order to do this, we must divide by 2y.
Doing this we get c=ab/2y
9514 1404 393
Answer:
c = (ab)/(2y)
Step-by-step explanation:
The given equation can be multiplied by c/y to solve for c.
[tex]y=\dfrac{ab}{2c}\\\\y\cdot\dfrac{c}{y}=\dfrac{ab}{2c}\cdot\dfrac{c}{y}\\\\\boxed{c=\dfrac{ab}{2y}}[/tex]
_____
Comment on the form of the answer
When the answer is written in plain text, the fraction bar no longer serves as a grouping symbol. Hence, parentheses are needed around the denominator:
c = ab/(2y)
According to Greg, perfect cherry pies have a ratio of
240 cherries to
3pies.
How many cherries does Greg need to make
9 perfect cherry pies?
Plz help my grade in math is a D and the quarter ends this week
Answer:
x=7
Step-by-step explanation:
if you look at this diagram as 2 triangles, the little one, and then the big one that the little one is inside of, and realize that they are similar triangles (by AAA standards) you can use a ration to solve the answer. the side length 9 is the length that is similar to side length 21, so you put those in a fraction format (9/21), and side length 3 is similar to side length x so you put those in a fraction (3/x), and then you create a ration with those
9/21=3/x
now you can cross-multiply 21 times three (63) and divide that number by 9 (7) to get your final answer of x=7.
Hope this helps!
In a soccer game the winner gains 3 points, while the loser gains 0 points. If the game is a draw, then the two teams gain 1 point each. A team has played 38 games gaining 80 points. Find the greatest possible number of games that the team lost.
Answer:
10 losses
Step-by-step explanation:
Here, we want to get the greatest possible number of games the team lost
Let the number of games won be x
Number drawn be y
Number lost be z
Mathematically;
x + y + z = 38
Let’s now work with the points
3(x) + 1(y) + z(0) = 80
3x + y = 80
So we have two equations here;
x + y + z = 80
3x + y = 80
The greatest possible number of games lost will minimize both the number of games won and the number of games drawn
We can have the following possible combinations of draws and wins;
26-2
25-5
24-8
23-11
22-14
21-17
21-17 is the highest possible to give a loss of zero
Subtracting each sum from 38, we have the following loses:
10, 8, 6, 4, 2 and 0
This shows the greatest possible number of games lost is 10
PLEASE HELP
What is the solution to this system of linear equations?
3x-2y=14
5x+y=32
O (3,5)
O (6,2)
O (8,-1)
O (14,-18)
Answer:
(6,2)
Step-by-step explanation:
i used elimination method
Jacob earns $12.00 per hour babysitting. and has already earned $54.00. The number of hours, x, for which Jacob babysat can be found using the equation 54.00=12x. How many hours did Jacob babysit?
Jacob babysat for 4.5 hours 12x4=48 +6(.5)= 4.5 hours
A ball is thrown into the air with a velocity of 102 feet per second
Answer:
and what are you needin to find out
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = -4
Answer:
y = -x - 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
x + y = -4
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: y = -x - 41) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table above we can see that Anna makes more stuffing than Jason.
c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)
For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100
D) The line pass through (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
The tape diagram represents an equation
Write an equation to represent the image
Answer:
w+1.3=2.7
Step-by-step explanation:
the length of w+ the length of the other piece of tape (1.3) is equal to the length of the other tape which is 2.7
The answer is w+1.3=2.7
What are the coordinates of the z- and y-intercepts in the equation 14x+ 8y=-56?
Answer:
Idkasd
Step-by-step explanation:
Keep trying
Answer:
the x-intercept is (-4,0)
the y-intercept is (0,-7)
a group of 6 people equally shares 12 Liters of juice, how many milliliters of juice does each person recive
Answer: each get 2,000 mil in use
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
Answer:
43.407 years
Step-by-step explanation:
Zoe invest $600 in college savings account. The account earns 5.7% interest compounded quarterly. How many years will it take for Zoe's account to reach $7,000?
We are asked to find time t in a compound interest formula
The formula is given as:
t = log(A/P) / n[log(1 + r/n)]
A = Total amount = $7000
P = Principal = $600
n = number of times interest is compounded = Quarterly =4
r = Interest rate = 5.7% = 0.057
Hence,
t = log(7000/600) /4[log (1 + 0.057/4)]
t = 43.407 years
which of the following represents a funcation ?
Answer:
A.
Step-by-step explanation:
B. (-1,1) (-1,-5) ... can't pass vertical line test
C. (-1,7) (-1,1)
D. (3,2) (3,4)