Answer:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}=a^8[/tex]
Step-by-step explanation:
[tex]\frac{\left(a^3\right)\left(a^9\right)}{a^4}\\\\= \frac{a^3a^9}{a^4}\\\\=a^3a^9\\\\=a^{3+9}\\\\=a^{12}\\\\=a^{12-4}\\=a^8[/tex]
Answer:
a⁸
Step-by-step explanation:
a³*a⁹/a⁴
Product law:Says that if the base of the number being multiplied is the same, then we can add the exponents
Therefore
a to the power of 3+9/a⁴
a¹²/a⁴
Quotient law:Says that when we divide two numbers with the same base,we can subtract the exponents
Therefore
a to the power of 12-4
a⁸
PLEASE ANSWER SOON! I WILL MARK BRAINLIEST! THANK YOU!
The ratio of the measures of the acute angles of a right triangle is 8:1. In degrees, what is the measure of the largest angle of the triangle?
Answer:
80°
Step-by-step explanation:
The sum of the measures of the acute angles in a right triangle is 90°. The sum of ratio measures in the ratio 8 : 1 is (8+1) = 9. Thus, each of those measures stands for 90°/9 = 10°. Then the angle ratio is ...
80° : 10° = 8 : 1
The measure of the largest acute angle in the triangle is ...
10° × 8 = 80°
Use the Cross Products Property to solve the proportion
5/n =16/32
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
If we have our proportion set up like this:
[tex]\frac{5}{n} = \frac{16}{32}[/tex]
Then using the cross products property, we can find the value of n.
The property states that the two numbers that are diagonal to each other DIVIDED by the number diagonal to the variable will equal the variable.
So:
[tex]32\cdot5 = 160\\160\div16 = 10[/tex]
Hope this helped!
Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y = 10. Y = one-fourth x + 1.
Answer:
[tex]y = \frac{5x}{2} - 5[/tex]
Step-by-step explanation:
Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.
From the equation given 5x - 2y = 10, we will make y the subject of the formula as shown;
[tex]5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\[/tex]
[tex]y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5[/tex]
Hence the equation that represents the first equation written in slope-intercept form is [tex]y = \frac{5x}{2} - 5[/tex]
-5(x-2)=-25 solve the equation
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-5(x-2)=-25[/tex]
Expand the brackets on the left side of the equation.
[tex]-5(x)-5(-2)=-25[/tex]
[tex]-5x+10=-25[/tex]
Add -10 on both sides.
[tex]-5x+10-10=-25-10[/tex]
[tex]-5x=-35[/tex]
Divide both sides by -5.
[tex]\displaystyle \frac{-5x}{-5} =\frac{-35}{-5}[/tex]
[tex]x=7[/tex]
Answer:
[tex] \boxed{\sf x= 7} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x: \\ \sf \implies - 5(x - 2) = - 25 \\ \sf Divide \: both \: sides \: of \: - 5 (x - 2) = - 25 \: by \: - 5: \\ \sf \implies \frac{ - 5(x - 2)}{ - 5} = \frac{ - 25}{ - 5} \\ \\ \sf \frac{ \cancel{ - 5}}{ \cancel{ - 5}} = 1 : \\ \sf \implies x - 2 = \frac{ - 25}{ - 5} \\ \\ \sf \frac{ - 25}{ - 5} = \frac{5 \times \cancel{ - 5}}{ \cancel{ - 5}} = 5 : \\ \sf \implies x - 2 = \boxed{ \sf 5} \\ \\ \sf Add \: 2 \: to \: both \: sides: \\ \sf \implies x + ( \boxed{ \sf 2} - 2) =5 + \boxed{ \sf 2} \\ \\ \sf 2 - 2 = 0 : \\ \sf \implies x = 5 + 2 \\ \\ \sf 5 + 2 = 7 : \\ \sf \implies x= 7[/tex]
on a piece of paper, graph y<_3x. Then determine what answer matches the graph you drew. Help plz
Answer:
Step-by-step explanation:
Draw the solid line y = 3x. Now shade the region below this line.
I will simply invent a point: (2, -1). Here y = -1 and x = 2. Either this point is in the shaded region or it is not. Substituting 2 for x in y ≤ 3x, we get
y ≤ 3(2), or y ≤ 6. Is -1 less than 6? YES. So the (arbitrarily chosen) point (2, -1) is a solution of the given inequality.
What is the best first step to solve this equation 8x =25 ?
Hey there!
"8x = 25"
In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8
8x/8 = 25/8
Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)
Keep: 25/8 Because it solves for your equation
Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.
Answer:
The correct option is;
A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25
Please find attached the graphs of the table data
Step-by-step explanation:
Each of the given table data of in the tables are analysed to find direct variation;
Table 1
x, -3, -1, 2, 5, 10
y, -4.5, -3.0, -1.5, 0.0, 1.5
-4.5/-3 = 1.5 ≠ -3.0/-1 = 3
No direct variation
Table 2
x, -5.5, -4.5, -3.5, -2.5, -1.5
y, 10, 8, 6, 4, 2
10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9
However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2
Adjusted direct variation
Table 3
x, -5.5, -5.5, -5.5, -5.5, -5.5
y, -3, -1, 2, 5 , 10
-3/(-5.5) ≠ -1/-5.5
No direct variation
Table 4
x, -3, -1, 2, 5, 10
y, -7.5, -2.5, 5.0 , 12.5, 25
-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10
Direct variation exists
Answer:
so D
Step-by-step explanation:
A submarine is only allowed to change its depth be Racing toward the surface in 60 meter stages. If the submarine starts off at 340 meters below sea level, what is its depth after 4 stages of rising to surface
Answer:
[tex]Depth = 100m[/tex]
Step-by-step explanation:
Given
Initial Level = 340 m
Number of stages = 4
Difference in each stage = 60 m
Required
Determine the depth of the submarine after 4 stages
First, we have to calculate the total distance moved towards the surface of the sea;
This is calculated as
[tex]Total\ Distance = Number\ of\ Stages * Difference\ in\ each\ stage[/tex]
[tex]Total\ Distance = 4 * 60m[/tex]
[tex]Total\ Distance = 240m[/tex]
This implies that the submarine moved a total distance of 240 metres;
It;'s new depth is calculated as follows;
[tex]Depth = Initial\ Depth - Total\ Distance[/tex]
[tex]Depth = 340m - 240m[/tex]
[tex]Depth = 100m[/tex]
Hence, its new depth after 4 stages of rising is 100m
Suppose 45% of the worlds population has type "O" blood type. A study was done to see if the percent differs for college students. 47% of the 1000 random selected college students have type O blood. conduct a hypothesis test to determine if the percent of college students with type o blood differs for college students?
Answer:
We accept H₀, with CI = 90 %, porcentage of O blood type in college students does not differ from the world population porcentage
Step-by-step explanation:
The test is a proportion two-tail test ( note: differs)
p₀ = 45 % or p₀ = 0,45
n = 1000
p = 47 % or p = 0,47
Test Hypothesis
Null hypothesis H₀ p = p₀
Alternative hypothesis Hₐ p ≠ p₀
CI we assume 90 % then α = 10 % α = 0,1 α/2 = 0,05
z score from z-table z(c) = 1,64
To calculate z(s) = ( p - p₀ ) / √ p₀q₀/ n
z(s) = ( 0,47 - 0,45 )/ √( 0,45)*(0,55)/1000
z(s) = 0,02/√( 0,2475)/1000
z(s) = 0,02/0,01573
z(s) = 1,2714
Now we compare z(s) and z(c)
z(s) < z(c) 1,2714 < 1,64
Then z(s) is in the acceptance region we accept H₀
PLEASE HELP Jane has twice as many cousins as James. Bryan has 5 cousins, which is 11 less that Jane has. How many cousins does James have?
Answer:
James has 8 cousins
Step-by-step explanation:
Bryan =5
Jane =Bryan + 11=5+11=16 ( Bryan has 11 cousins less than Jane)
James: 1/2 Jane=16/2=8 cousins ( Jane has twice as James)
The side length of each square is 6 units. Find the areas of the inscribed shapes.
Answer:
a) A₁ = 18 unit²
b) A₂ = 20 unit²
c) A₃ = 12 unit²
d) A₄ = 12 unit²
Step-by-step explanation:
a) Given that the side length of square is 6 units, we have;
The height of the square = The height of the triangle = 6 units
The base of the triangle = The side length of the square = 6 units
The area of a triangle A₁ = 1/2×base×height = 1/2×6×6 = 18 unit²
b) The side of the square A₂ forms an hypotenuse side to the side length 2 and 4 on sides of the circumscribing square
The length of the side = √(4^2 + 2^2) = 2·√5
A₂ = The area of a square =Side² = (2·√5)² = 20 unit²
c) The base length of the triangle, A₃ + 2 = The side length of the circumscribing square = 6 units
∴ The base length of the triangle, ₃₂ = 6 - 2 = 4 units
The height of the triangle, A₃ = The side length of the circumscribing square = 6 units
The area of a triangle A₃ = 1/2×base×height = 1/2×4×6 = 12 unit²
d) Figure, A₄, is a parallelogram;
The area of a parallelogram = Base × Height
The base of the parallelogram, A₄ + 4 = 6 units
Therefore, the base of the parallelogram, A₄ = 6 - 4 = 2 units
The height of the parallelogram = The side length of the circumscribing square = 6 units
The area of a parallelogram A₄ = 2× 6 = 12 unit².
Can someone please explain how to get the answer i've looked it up several times and i'm still stuck. I'm in algebra 2 with trig and doing my summer math packet: "The length of a rectangle is two feet less than four times the width. Find the length and width if the area is 38.2 square feet. let w= width of the rectangle" Btw websites say w is 19.1 but my answer key says its 3.35. Thanks!
Answer:
Step-by-step explanation:
Let L be the length of this rectangle
The length of a rectangle is 2 feet less than four times the width
● L+2 = 4w
The area of this rectangle is 38.2 ft^2
● L*w = 38.2
The system of equations is
L+2 = 4w => L-4w =2
L*w = 38.2 => L= 38.2/w
Replace L by 38.2/w in L-4w =2
● L-4w = 2
● (38.2/w)-4w = 2
●(38,2-4w^2)/w = 2
● 38.2-4w^2 = 2w
● 38.2-4w^2-2w = 0
● -4w^2-2w+38.2 =0
Multiply by -1 to reduce the - signs
● 4w^2+2w-38.2 =0
This is a quadratic equation so we will use the discriminant
□□□□□□□□□□□□□□□□□
The discriminant is b^2-4ac
● b= 2 (2w)
● a= 4 (4w^2)
● c= -38.2 (the constant term)
b^2-4ac =2^2-4*4*(-38.2) = 615.2 > 0
The discriminant is positive so we have two solutions w and w' :
●●●●●●●●●●●●●●●●●●●●●●●●
w= (-2-24.8)/8 = -3.35
24.8 is the root square of 615.2(the discriminant)
●w is negative
● a distance is always positive so this value isn't a solution
w'= (-2+24.8)/8 =2.85 > 0
So this value is a solution for our equation
■■■■■■■■■■■■■■■■■■■■■■■■■■
w= 2.85 feet
Answer:
w=3.35
Step-by-step explanation:
The length of a rectangle is two feet less than four times the width:
length=4W-2
A=L*W
A=(4W-2)(W)
38.2=4W^2-2W
4W^2-2W-38.2=0 complete the square to find the solution add term(b/2)²
4W²-2W+1/4=38.2+1/4
4(W²-W/2+1/16)=38.45
4(w-1/4)^2=38.45
(w-1/4)²=38.45/4=9.6125
w-1/4=+ or -√9.6125 ( since it is width it has to be positive
w=√9.6125+1/4 = 3.35
Find m2ABC.
PLZZZ ASAPPPP
Answer:
83
Step-by-step explanation:
You're given two vertical angles, and vertical angles are congruent. This means that (6x - 7) = (4x + 23); x = 15. Plug it into ABC (which is (6x - 7)) to get 6(15) - 7 = 90 - 7 = 83
HELP
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 9?
Write your answer as a fraction in simplest form.
Answer:
3/4
Step-by-step explanation:
Explanation:
List out the total number of outcomes = {1,2,3,4,5,6,7,8,9,10,11,12}
We have 12 items in this list.
From this list, highlight the outcomes that are less than 9. So we will have this smaller list of {1,2,3,4,5,6,7,8} which has 8 items in it.
There are 8 ways to get what we want (a number less than 9) out of 12 outcomes total
The probability is therefore 8/12 = 2/3
Place
Is a city is in North America
India
Tokyo
Houston
✓
Peru
New York
Tijuana
✓
✓
Canada
✓
Let event A = The place is a city.
Let event B = The place is in North America.
What is P(A and B)?
Answer:
[tex]P(A\ and\ B) = \frac{3}{7}[/tex]
Step-by-step explanation:
Your question is not well presented; (See Attachment for complete details)
Required
Find P(A n B)
where
A = Event that the place is a city
B = Event that the place is in North
The first step is to get the sample space;
Let S represent the sample space;
[tex]S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}[/tex]
[tex]n(S) = 7[/tex]
The next is to list events A and B
A = City
[tex]A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}[/tex]
B = North America
[tex]B = \{Houston,\ New York,\ Tijuana,\ Canada\}[/tex]
The next is to list common elements in A and B
[tex]A\ n\ B = \{Houston,\ New York,\ Tijuana\}[/tex]
[tex]n(A\ and\ B) = 3[/tex]
The probability of A and B is calculated as follows;
[tex]P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}[/tex]
Substitute [tex]n(A\ and\ B) = 3[/tex] and [tex]n(S) = 7[/tex] in the expression above
[tex]P(A\ and\ B) = \frac{3}{7}[/tex]
Work out the mean for the data set below: 1606, 1607, 1606, 1607, 1607, 1609
Answer:
1607
Step-by-step explanation:
The mean (or average) of a data set is the sum of all of the data divided by the number of data in the set. In this case, that would be:
(1606 + 1607 + 1606 + 1607 + 1607 + 1609) / 6
= 9642 / 6
= 1607
Answer: 1,607
Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
Work is attached below.
simplify 8a-5b-(6a-9b)
Answer:
2(a + 2b)Step-by-step explanation:
[tex]8a - 5b - (6a - 9b)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression.
[tex]8a - 5b - 6a + 9b[/tex]
Collect like terms
[tex]2a + 4b[/tex]
Factor out 2 from the expression
[tex]2(a + 2b)[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
2(a + 2b)
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each area of a circle to its corresponding radius or diameter.
Answer:
First box is 120.7016, second box is 63.585, third box is 28.26, and the fourth box is 12.56.
Step-by-step explanation:
You get these answers by using the area formula for a circle which is piR^2. If it says diameter divide it by 2 to get the radius.
AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of BC?
A. x + 3y = 16
B. 2x + y = 12
C. -7x − 5y = -48
D. 7x − 5y = 48
===============================================
First we need the equation of line AB. Compute the slope through (-3,-1) and (4,4)
m = (y2-y1)/(x2-x1)
m = (4-(-1))/(4-(-3))
m = (4+1)/(4+3)
m = 5/7
This is the slope through points A and B, ie the slope of line AB.
To get the slope of line BC, we flip the fraction and change the sign.
Doing so has us go from 5/7 to -7/5. Note how 5/7 and -7/5 multiply to -1.
The slope of line BC is -7/5. Let m = -7/5.
--------
Use (x,y) = (4,4) along with m =-7/5 to find the equation of line BC
y = mx+b
4 = (-7/5)(4) + b
4 = -28/5 + b
20 = -28 + 5b ... multiply every term by 5 to clear out the fraction
20+28 = 5b
48 = 5b
5b = 48
b = 48/5
With m = -7/5 and b = 48/5, we go from y = mx+b to y = (-7/5)x+48/5
The slope intercept form for line BC is y = (-7/5)x+48/5
--------
Let's get this into standard form Ax+By = C
y = (-7/5)x+48/5
5y = -7x + 48 .... multiply everything by 5
7x+5y = 48 .... is one way to represent the equation in standard form
-7x - 5y = -48 ... your teacher has decided (for some reason) to multiply both sides by -1
Answer:
-5y-7y=-48
Step-by-step explanation:
distance between BC (4,4) C(x,y)
BC is perpendicular on AB (perpendicular line has opposite reciprocal slope)
slope of AB=y2-y1/x2-x1=4-(-1)/4-(-3)=5/7
slope of BC=-7/5
now input the value of B (4.4) and C(x,y)
y=mx+b
4=-7/5(4)+b
b=4+28/5
b=48/5
y=-7/5x+48/5
5y=-7x+48
5y+7x=48 multipy by -1
-5y-7y=-48
A plane traveled 5525 miles with the wind in 8.5 hours and 4505 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is ____(hours.miles.mph) (Simplify your answer.)
Answer:
590mph
Step-by-step explanation:
Speed with wind = 5525÷ 8.5
= 650mph
speed against wind = 4505÷8.5
= 530mph
speed without wind = (650mph+530mph)÷2
= 590mph
these cones are similar. find the volume of the smaller cone. round to the nearest tenth.
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]
= [tex]\frac{r_2}{r_1}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]
[tex]\frac{131}{V_2}=15.625[/tex]
[tex]V_2=\frac{131}{15.625}[/tex]
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
the average of two numbers is 11. the difference between is 4 , find the sum of the two numbers
please help
Answer:
22
Step-by-step explanation:
Let the first number be x.
Let the second number be y.
(x+y)/2 = 11
x-y=4
Solve for x in the second equation.
x = 4 + y
Put x as 4 + y in the first equation and solve for y.
(4+y+y)/2 = 11
4 + 2y = 22
2y = 18
y = 9
Put y as 9 in the second equation and solve for x.
x = 4 + 9
x = 13
Find the sum of the numbers x and y.
x + y
13 + 9
= 22
Answer:
[tex]22[/tex]
Step-by-step explanation:
let the numbers be x and y
[tex] \frac{x + y}{2} = 11 \\ x - y = 4[/tex]
so,
[tex] \frac{x + y}{2} = 11 \\ x +y = 11 \times 2 \\ x + y = 22[/tex]
So they asked to find the sum of the two numbers
And the answer is 22
Cailtyn loves fish. In fact, she has 4 tanks in her room filled with a variety of tropical fish. The tanks hold 4200 milliliters, 3600 milliliters, 1500 milliliters and 2000 milliliters. She needs to empty each tank and refill them. She only has a one-liter bottle to use to fill the tanks. How many times will she need to fill the liter bottle to re-fill all of her fish tanks?
Answer:
11.3, or 12 if you need a whole number
Step-by-step explanation:
1 L = 1,000 mL. After adding all of your mL, you get 11,300. Divide that by 1,000 to get 11.3. To fully refill all of her fish tanks, she would need to refill it 12 times, but if you're looking for an exact number, 11.3.
If one- tenth of a number is added to 2, the result is half of that number, find the number. A. 2.5 B. 3.3 C. 4.2 D. 5.0
Answer:
D. [tex]\boxed{x = 5}[/tex]
Step-by-step explanation:
Let the number be x
Condition:
[tex]\frac{1}{10} x + 2 = \frac{1}{2} x[/tex]
[tex]\frac{x}{10} -\frac{x}{2} = -2\\LCM = 10\\Multiplying \ both \ sides \ by \ 10\\x - 5(x) = -2(10)\\x -5x = -20\\-4x = -20[/tex]
Dividing both sides by -4
x = 5
Answer:
[tex]\boxed{5.0}[/tex]
Step-by-step explanation:
Let the number be [tex]x[/tex].
1/10 of x is added to 2, the result is half of x.
[tex]2+\frac{1}{10} x=\frac{1}{2} x[/tex]
[tex]2=\frac{1}{2} x-\frac{1}{10} x[/tex]
[tex]2=\frac{2x}{5}[/tex]
[tex]10=2x[/tex]
[tex]\frac{10}{2} =x[/tex]
[tex]5=x[/tex]
The number is 5.0
A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
Translate into an algebraic expressions: A number increased by a % and decreased by 80% is 400. What is the number ?
Answer:
(x*(1+a))*0.8 = 400; x = 500/1+a
Step-by-step explanation:
First, increase the number (which we will call x) by a%
x*(1+a) -> You do 1 + a because if you wanted to increase let's say 5 by 20% you would do 5 + 5*0.2 and if you factor that out it becomes 5(1+0.2)
Next, decrease it by 80%.
(x*(1+a))*0.8
Finally, make it into an equation.
(x*(1+a))*0.8 = 400
If you solve it, you get:
x(1+a) = 500
x = 500/1+a
PLEASE help me answer this question!!!!
Answer:
[tex]\frac{77\pi }{3}[/tex] cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm
V = [tex]\frac{4}{3}[/tex]π × 2³ = [tex]\frac{4}{3}[/tex]π × 8 = [tex]\frac{32\pi }{3}[/tex] cm³
Thus
combined volume = [tex]\frac{32\pi }{3}[/tex] + 15π = [tex]\frac{32\pi }{3}[/tex] + [tex]\frac{45\pi }{3}[/tex] = [tex]\frac{77\pi }{3}[/tex] cm³
If it takes 8 hours to drive 435 miles, how many
hours would you expect it would take to drive 650
miles if you travel at the same rate? (Round to
hundredths.)
Answer:
11.95
Step-by-step explanation:
435 divided by 8 is 54.375
650 divided by 54.375 is 11.95 (Rounded)
Answer: 11.95 hours
Step-by-step explanation:
[tex]\dfrac{435\ miles}{8\ hrs}=\dfrac{650\ miles}{x}\\\\\\435x=8(650)\\\\\\x=\dfrac{8(650)}{435}\\\\\\x=\large\boxed{11.95}[/tex]
Which one of the following would most likely have a negative linear correlation coefficient?
A. the value of a car compared to its age
B. the points scored by a basketball player compared to his minutes played
C. the height of a woman compared to her age
D. the hours of daylight in a city throughout the year
Answer:
D. the hours of daylight in a city throughout the year
Step-by-step explanation:
The hours of daylight in a city throughout the year represent the negative linear correlation coefficient. Then the correct option is D.
What is a negative linear correlation coefficient?Independent quantities with an inverse relationship tend to move in different directions.
In essence, any figure between 0 and -1 denotes an opposing movement of the equity stocks.
When the correlation coefficient becomes less than 0, there is a negative (opposite) correlation. This suggests that both parameters are moving in the obverse direction.
The hours of daylight in a city throughout the year represent the negative linear correlation coefficient
Then the correct option is D.
More about the negative linear correlation coefficient link is given below.
https://brainly.com/question/12400903
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20 MIN LEFT WILL MARK YOU BRAINLIEST!!!! PLEASE HELP ME!!!!!
The measures of two supplementary angles total 180 degrees. The measure of angle y is 65 degrees less than the measure of angle x. What are the measures of the angles? The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees. The measure of angle x is 115 degrees. The measure of angle y is 65 degrees. The measure of angle x is 57.5 degrees. The measure of angle y is 122.5 degrees. The measure of angle x is 65 degrees. The measure of angle y is 115 degrees
Answer:
The measure of angle x is 122.5 degrees.
The measure of angle y is 57.5 degrees
Step-by-step explanation:
180=y+x
y=x-65
180= (x-65)+x
180=2x-65
245=2x
x=122.5
y=122.5-65= 57.5
Answer:
The correct answer is A.) The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.
Step-by-step explanation:
I just did the test on edge 2021 and got it right!