Answer:
The inequality is -3<x<3
Step-by-step explanation:
(-3,3)
The equation T squared = A cubed shows the relationship between a planet's orbital period, T, and the planet's mean distance from the sun, A, in astronomical units, AU. If planet Y is k times the mean distance from the sun as planet X, by what factor is the orbital period increased? k Superscript one-third k Superscript one-half k Superscript two-thirds k Superscript three-halves
Answer:
Ty = √k * Tx
The orbital period of Y has to be be multiplied by √k . or . k∧1/2
Step-by-step explanation:
The general equation:
T² = A³
is for the case of planet X
Tₓ² = Aₓ³
In the case of planet Y
Ty² = k * Aₓ³ . and Aₓ³ = Tₓ²
By substitution:
Ty² = k *Tₓ²
Ty = √k * Tx
Answer:
D: K^3/2
Step-by-step explanation:
Just took the test and this is right
2
Which is equivalent to 2435?
12
Answer:
C
Step-by-step explanation:
(243)^(2/5)=3^2=9. C is the correct answer
It can be concluded that the equivalent value of the expression is 9.
What is algebraic expressions?An algebraic expression is a made up of terms both constants and variables. For example, we can write -
2x + 3y + z
5x + y
x + 8y
Given is the algebraic expression as -
[tex]$243^{\frac{2}{5} }[/tex]
The given algebraic expression is -
[tex]$243^{\frac{2}{5} }[/tex]
It is asked to find the equivalent value of this expression. We can write -
[tex]$243^{\frac{2}{5} }[/tex]
[tex]$3^{5\times \frac{2}{5} }[/tex]
3²
3 x 3
9
So, it can be concluded that the equivalent value of the expression is 9.
Therefore, it can be concluded that the equivalent value of the expression is 9.
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There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years. The independent variable is:
Answer
Step-by-step explanation:
This is because the wild pigs' fertilty rate increased for the past five years, which caused them to double each year.
A department store is ordering the fall line of shoes. Which of the following statistical measurements would they use to determine what sizes they should order the most? A. range B. median C. mean D. mode
Answer:
Mode
Step-by-step explanation:
If I'm not mistaken the mode is the value that appears most which in this case would mean the size that is bout the most.So he should use the mode which basically shows what size is bought the most and buy that size
The statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
What is the mode?It is defined as the highest frequency of data and how many times the element is repeated in the data set, known as the mode value.
We have:
A department store is ordering the fall line of shoes.
As we know, Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
The mean value for the given set of data or the closed value for each entry given in the set of data.
Thus, the statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
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the length of a rectangle pools 15m greater than its width. what is the length if the perimeter of the pool is 96m
Answer:
31.5 m
Step-by-step explanation:
Let w represent the width of the pool.
Since the length is 15 m greater than the width, it can be represented by w + 15.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:
p = 2l + 2w
96 = 2(w + 15) + 2w
96 = 2w + 30 + 2w
96 = 4w + 30
66 = 4w
16.5 = w
So, the width of the pool is 16.5 m. Add 15 to this to find the length:
16.5 + 15
= 31.5
The length of the pool is 31.5 m
Let the width be w
Length = w + 15
Now
Perimeter = 2(l + w)
96 = 2(w + 15 + w)
96/2 = w + 15 + w
48 = 2w + 15
48 - 15 = 2w
33 = 2w
33/2 = w
16.5 = w
Then,
Length = w + 15
Length = 16.5 + 15
Length = 31.5 m
[tex] \\ [/tex]
Find the volume of the cylinder please
Answer:
216
Step-by-step explanation:
π=3
r=3
h=8
so,
πr²h
= 3×3²×8
= 216
Answered by GAUTHMATH
Which descriptions can describe more than one triangle? Select two options.
• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm
Answer:
angle measurements of 35, 35, and 110°
angle measurements of 40°, 60°, and 80°
Have a nice day! :)
The circumference of a circle is 257 cm. What is the area,
in
square
centimeters
Answer:
[tex]2\pi \times r = c[/tex]
[tex]\pi \times {r}^{2} = a[/tex]
A=5257.76
Step-by-step explanation:
Or use a calculator online.
Please help me understand
Answer:
B. slope 1/4, y-intercept at ( 0, 5)
Step-by-step explanation:
slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4
the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)
we are given that one of the points is (x=0, y=5) so this is our y-intercept
OR
the slope intercept form equation of a line y= mx+b, where b is the y-intercept
y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5
5 = (1/4)*0 +b
5 = b
ZA and ZB are complementary angles. If m A = (x – 21)° and m
ZB = (2x – 15)°, then find the measure of ZA.
Answer:
A = 21
Step-by-step explanation:
Complementary angles add to 90
x-21 + 2x-15 = 90
Combine like terms
3x -36 = 90
3x-36+36 = 90+36
3x = 126
Divide by 3
3x/3 =126/3
x = 42
We want to find ZA = x-21
A = 42-21
A = 21
If the sum of the measures of two angles is 90° they are known as complementary angles.
According to the question[tex] \bf \large \longrightarrow \: \:( x \: - \: 21) \: + \: (2x \: - \: 15) \: = \: 90 \degree[/tex]
Now , Opening brackets and simplifying
[tex] \bf \large \longrightarrow \: \: x \: - \: 21 \: + \: 2x \: - \: 15\: = \: 90 \degree[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: - \: 36 \: = \: 90 \degree[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: = \: 90 \: + \: 36[/tex]
[tex]\bf \large \longrightarrow \: \:3x \: = \: 126[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{126}{3} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{126}{3} \: \: \large \: ^{42} \\ [/tex]
[tex]\bf \large \longrightarrow \: \: x \: = \: 42[/tex]
Now , we have to find ZA .
ZA = x - 21[tex]\bf \large \implies \: \:A \: = \: 42 \: - \: 21[/tex]
[tex]\bf \large \implies \: \:A \: = \: 21[/tex]
The measure of angle ZA is 21°
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
Divide 2 divided by 1/2
Answer:
yea it should be 4
Step-by-step explanation:
all you doing is dividing
Could someone please help me out?
Answer:
4.5
Step-by-step explanation:
let,
k×9²=300
k = 300/81
or, k = 100/27
as two triangles are similar,
if smaller triangle's corresponding side is x (let), then,
kx²=75
100x²/27=75
x²=75×27/100
x=√81/4
x=9/2
x=4.5
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
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Solve for the measure of angle QSR, given b=136.
The calculated measure of the angle QSR is 68 degrees
How to solve for the measure of angle QSRFrom the question, we have the following parameters that can be used in our computation:
Angle b = 136 degrees
The measure of angle QSR can be calculated using
QSR = 1/2 * Angle b
substitute the known values in the above equation, so, we have the following representation
QSR = 1/2 * 136 degrees
Evaluate
QSR = 68 degrees
Hence, the measure of angle QSR is 68 degrees
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What is the constant of proportionality y/x?
Answer:
0.5
Step-by-step explanation:
k = y/x
k = 0.5/1
k = 0.5
Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book
Answer:
72/8=9 im not sure which it is asking for
Step-by-step explanation:
we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.
Answer:
9 pages of stickers
Step-by-step explanation:
72 / 8 = 9 pages of stickers
What is the area of this figure?
Answer:
answer of this qn is 15in^2
three different are rung at intervals of 36 minutes 40 minutes and 48 minutes if they were rung together at 9 a.m. at what time would they be rung together again?
To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
9pm or 12 hours from 9am.
hi! can i get some help with this question! :)
Hi there!
[tex]\large\boxed{log_b3b = 1.8397}[/tex]
Keep in mind the following log property:
logₓab = logₓa + logₓb
Thus:
[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]
We know the value of log_b3, and a log with the same values for the base equals 1. Thus:
[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]
Can someone please help me with this
Answer:
8.5 km
Step-by-step explanation:
The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km
PLSSSS I NEED HELP PLS HELP MEEE IM FAILING Pythagorean theorem
South would be straight down (leg 1 of the triangle) and east would be right from that point (leg 2 of the triangle). Therefore, we are looking for the hypotenuse of the triangle.
Pythagorean Theorem: a^2 + b^2 = c^2
6^2 + 5^2 = c^2
36 + 25 = c^2
61 = c^2
c = sqrt(61)
c = 7.8 miles
Hope this helps!
Can someone help me please will Mark brainliest
Answer:
The answer that I got is C I hope I'm right
Answer:
An integerOAmalOHopeO
Please help me find which expression is correct
Answer:
IN MY OPINION D NO IS THE CORRECT ANSWER OF YOUR QUESTION.
Answer:
in my opinion d is the correct answer of your questions.
Step-by-step explanation:
Because subtract subtract sign is always add.
hope this will help you
thanks
Using the following equation, find the center and radius:
x2 + 2x + y2 + 4y = 20
Answer:
centre = (- 1, - 2 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + 2x + y² + 4y = 20
To obtain equation in standard form use method of completing the square
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4
(x + 1)² + (y + 2)² = 25 = 5² ← in standard form
with centre = (- 1, - 2 ) and r = 5
Which applies the power of a power rule properly to simplify this expression?
Answer:
D.
Step-by-step explanation:
[7^(-8)]^(-4) =
A power raised to a power: multiply the exponents.
= 7^[(-8)*(4)]
= 7^(32)
Answer: D.
Answer:
7^32, the fourth option
Step-by-step explanation:
For the power rule, if you have a number to a power, for example [tex]x^{a}[/tex] and raise it to another power so it becomes, [tex](x^{a} )^{b}[/tex], We simplify by multiplying the powers together. So the simplified answer would be [tex]x^{(a*b)}[/tex].
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x - 1)(x-9)
B. (x + 1)(x-9)
C. (x - 1)(x+9)
D. (x + 1)(x + 9)
Answer:
Step-by-step explanation:
The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.
The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.
Answer:
false
Step-by-step explanation:
there is no graph...
Please help me solve these problems guys I’m really struggling
Answer:
Step-by-step explanation:
if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times
Answer:
65
Step-by-step explanation:
1=5
13=x
1x=5x13
1x=65
divide both sides by 1
x=65
