[tex]\text{Hey there!}[/tex]
[tex]\bf{Which\ expressions\ are\ equivalent\ to\ \dfrac{2^5}{6^5}?}[/tex]
[tex]\bf{First:\ 2^5=2\times2\times2\times2\times2=4\times4\times2=16\times2\rightarrow32}[/tex]
[tex]\rightarrow\bf{2^5=32}[/tex]
[tex]\bf{Second: \ 6^5 = 6\times6\times6\times6\times6=36\times36\times2 = 1296\times6\rightarrow7,776}[/tex]
[tex]\rightarrow\bf{6^5=7,776}[/tex]
[tex]\bf{You\ can\ convert\ your\ new\ equation \ to (\text{ If this is helpful to you}):}\\\bf{\dfrac{32}{7,776}}[/tex]
[tex]\mathsf{\dfrac{32\div32}{7776\div32}}\\\\\mathsf{32\div32 = 1\leftarrow Your\ numerator}\\\\\mathsf{7,776\div32=243\leftarrow Your\ denominator}\\\\=\dfrac{1}{243}\\\\\boxed{\mathsf{Answer\#1: \dfrac{32}{7,776}}}\checkmark\\\\\boxed{\mathsf{Answer\#2:\dfrac{1}{243}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
5 friends want to share 2 pizzas. Each friend wants and equal amount. How much pizza does each friend get? Group of answer choices
A.2/5
B.5/2
C.1/5
D.2/10
Answer: A.2/5
Step-by-step explanation:
5 divided by 2 equals 2.5
Answer:D
Step-by-step explanation:
2×5=10 meaning each friend can have 2 pieces of pizza because 2 can fit into ten 5 times
Which line segment is a radius of circle F?
A F⎯⎯⎯⎯⎯
AB⎯⎯⎯⎯⎯
BE⎯⎯⎯⎯⎯
AC⎯⎯⎯⎯
Answer:
A F because it is right i took the test
I would like to know the answer to the following question
(((10-9)+2)-3)
Work from the inside set of parentheses to the outside at:
(()10-9)+2)-3)
10-9 = 1
1+ 2 = 3
3-3 = 0
The answer is 0
(((10 - 9)+2)-3)
((1+2)-3)
(3-3)
The answer is 0.
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. express the amount of debt remaining as a function of time in months
Answer:$200 per month is spent.
Step-by-step explanation:
$2400 divided by 12 = $200
The amount of debt remaining as Catherine pays off her $2400 loan over 12 months is expressed by the function D(t) = 2400 - 200t, where t is the time in months.
Explanation:Catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. To express the amount of debt remaining as a function of time in months, let's denote the amount of debt remaining as D(t), where t is the time in months.
Since she is making equal payments over 12 months, the total amount she needs to pay each month is $2400 divided by 12 months, which is $200 per month. Therefore, the function that represents the amount of debt remaining at any time t is given by : D(t) = 2400 - 200t
This linear function shows that for each month that passes, $200 is subtracted from the original loan amount of $2400, representing the payments made towards the loan. Thus, after t months, the amount of debt remaining is calculated by subtracting $200 times the number of months from the initial loan amount.
For this right triangle shown, what is the sine of angle C?
A)
15
7
B)
15
8
C)
17
7
D)
17
8
E)
7
8
Answer:
8.212°
Step-by-step explanation:
Hypotenuse^2=base^2+perp^2
(8)^2=(7)^2+(perp)^2
64=49+(perp)^2
64/49=perp^2
1.306=perp^2
Now taking sq root on both sides
Perp=√1.306
Perp=1.142
Sin C=opposite/hypotenuse
Sin C=1.142/8
Sin C=0.14285
C=Sin^-1 0.14285
C=8.212°
Answer:
correct answer is B
Step-by-step explanation:
usatestprep
Find the sum of the first seven terms of the sequence 4, 12, 36, 108
Answer:
I belive the anwers is a
Step-by-step explanation:
PLZ help 50 points and brainliest
6 + 3(6x - 2) = -12
You need to isolate/get x by itself in the equation
6 + 3(6x - 2) = -12 Distribute/multiply 3 into (6x - 2)
6 + (3)6x - (3)2 = -12
6 + 18x - 6 = -12 Combine like terms (6 and -6)
18x = -12 Divide 18 on both sides to get x by itself
[tex]x = -\frac{12}{18}[/tex] Simplify
[tex]x=-\frac{2}{3}[/tex]
PROOF
[tex]6+3(6(-\frac{2}{3} )-2)=-12[/tex] Plug in -2/3 into x, then multiply 6 and -2/3
6 + 3(-4 - 2) = -12 Simplify what's in the parentheses
6 + 3(-6) = -12 Multiply 3 and -6
6 - 18 = -12
-12 = -12
(A person bought a water
tank of circular base having the radius 10.5 m and height
21 m for the use of his community from the 'Gyani Tank
Factory'. If the upper part of the tank is semi spherical,
how many litre of water will be contained in the tank?)
Answer:
About [tex]9,693,180\ liters[/tex]
Step-by-step explanation:
we know that
The volume of the tank is equal to the volume of a cylinder plus the volume of hemisphere
so
[tex]V=\pi r^{2}h+\frac{2}{3}\pi r^{3}[/tex]
where
[tex]r=10.5\ m\\h=21\ m\\\pi=3.14[/tex]
substitute
[tex]V=(3.14)(10.5)^{2}(21)+\frac{2}{3}(3.14)(10.5)^{3}[/tex]
[tex]V=7,269.885+2,423.295=9,693.18\ m^3[/tex]
Convert to liters
[tex]1\ m^3=1,000\ L[/tex]
therefore
The volume is equal to
[tex]9,693.18(1,000)=9,693,180\ liters[/tex]
A pair of shoes usually sells for $62. If the shoes are 40% off, and sales tax is 7%, what is the total price of the shoes, including tax?
Answer:
$39.80
Step-by-step explanation:
If the price is reduced by 40%, it is 100% -40% = 60% of what it was. If 7% tax is added to that, the result is 100% +7% = 107% of the sale price. The final price is ...
$62 × 0.60 × 1.07 = $39.80
What is 1,356 divided by 8 equal?
Answer:
1,365 divided by 8 is equal to 169.5
the fraction form is 169 1/2
Find the Derived Function
a) [tex]\frac{dy}{dx} = \frac{1-3lnx}{x^4}[/tex]
b) [tex]\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]
Explanation:
a) [tex]y=\frac{lnx}{x^3}[/tex]
[tex]y = \frac{lnx}{\sqrt[3]{x} }[/tex]
[tex]y = lnx. x^-3[/tex]
Differentiating the above equation in terms of x
[tex]\frac{dy}{dx} = \frac{1}{x} \times x^-3 - 3lnx\times x^-^4\\\frac{dy}{dx} = \frac{1}{x^4} - \frac{3lnx}{x^4} \\\frac{dy}{dx} = \frac{1-3lnx}{x^4} \\[/tex]
b) [tex]y = \sqrt[3]{1-x^{2} }[/tex]
Differentiating the above equation in terms of x
[tex]y = \sqrt[3]{(1-x)^{2} } \\\frac{dy}{dx} = (1-x)^\frac{2}{3} \\\frac{dy}{dx} = \frac{2}{3}\times (1-x)^\frac{-1}{3} \times -1\\\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]
Thus,
a) [tex]\frac{dy}{dx} = \frac{1-3lnx}{x^4}[/tex]
b) [tex]\frac{dy}{dx} = \frac{-2}{3\sqrt[3]{1-x} }[/tex]
What is the probability that a randomly chosen positive factor of 72 is less than 10?
and
A list consists of all possible three-letter arrangements formed by using the letters A, B, C, D, E, F, G, H such that the first letter is D and either the second or third letter is A. If no letter is used more than once in an arrangement and one three-letter arrangement is randomly selected from the list, what is the probability that the arrangement selected will be DCA?
Problem 1
S = sample space = set of all possible outcomes
S = set of positive factors of 72
S = {1,2,3,4,6,8,9,12,18,24,36,72}
n(S) = number of items in sample space
n(S) = 12
E = event space = set of outcomes we want to happen
E = set of factors of 72 such that they are less than 10
E = {1,2,3,4,6,8,9}
n(S) = number of items in event space
n(S) = 7
P(E) = probability get a value in set E (that is also in set S as well)
P(E) = probability we get a positive factor of 72 that is less than 10
P(E) = n(E)/n(S)
P(E) = 7/12
Answer: 7/12============================================
Problem 2
[tex]\begin{array}{ccl}S & = & \text{Sample Space}\\\\S & = & \{\\ & & ~~DAB, DAC, DAE, DAF, DAG, DAH\\ & & ~~DBA, DCA, DEA, DFA, DGA, DHA\\ & & \}\end{array}[/tex]
n(S) = 12
E = event space
E = {DCA}
n(E) = 1
P(E) = probability we get an item in set S that is in set E also
P(E) = probability we get DCA from set S listed above
P(E) = n(E)/n(S)
P(E) = 1/12
Answer: 1/12- 4(x – 4) – 3 = 12 + 6x
answer:
1/10 as a fraction or if you want it as a decimal it would be 0.1
step-by-step explanation:
-4(x-4)- 3=12+6x after seeing you multiply -4 by x and -4
and you would get
-4x+0-3=12+6x and then you distribute all the way and you would get
1/10 or if you dont want a fraction and want a decimal is would be 0.1
Answer:
x=1/10 or x=0.1
Step-by-step explanation:
Multiply the parenthesis by 4 (-4x+16-3=12+6x)then subtract the numbers (16-3=13) then move the variable to the left side and change its sign (-4-6x+13=12 to -4x-6x=12-13) then add the terms (-4x-6x=12-13 to -10x=12-13) and get the difference (-4x-6x=12-13 to -10x=-1) then divide bothe sides of the equation by -10 then your answer would be x=1/10
PLEASE HELPPP!!! The password to my tablet consists of 4 numbers. 0-9. Order doesn't matter. Repetition is allowed. How many possible combinations are there?
Answer:
10,000
Step-by-step explanation:
_ _ _ _
10 options for each position
10×10×10×10 = 10000
Answer:
210 combinations.
Step-by-step explanation:
We have 10 total digits (0-9) and we only use 4 at a time. We can use the permutation formula [tex]\frac{n!}{k!(n-k)!}[/tex], and plug in 10 for n and 4 for k. This is called:
n choose k.
Plug the values in, and we get 210 permutations for the password.
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
Let w represent the width of the rectangle. What quadratic equation, in standard form, represents this situation?
Answer: _____________________________
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
What is the length of the rectangle? Show your work.
A. 1 m
B. 21 m
C. 25 m
D. 51 m
There are
170
170170 deer on a reservation. The deer population is increasing at a rate of
30
%
30%30, percent per year.
Write a function that gives the deer population
P
(
t
)
P(t)P, left parenthesis, t, right parenthesis on the reservation
t
tt years from now.
Answer:
So, we divide
1
by
5
6
→
1
÷
5
6
→
1
⋅
6
5
→
6
5
⇒
1
1
5
=
1.2
So, there are
1
1
5
number of
5
6
's in
1
Step-by-step explanation:
the function that gives the deer population \( P(t) \) on the reservation t years from now is:
[tex]\[ \boxed{P(t) = 170 \times (1.30)^t} \][/tex]
To write a function that gives the deer population [tex]\( P(t) \)[/tex] on the reservation t years from now, where the population is increasing at a rate of 30% per year, we'll use the formula for exponential growth:
[tex]\[ P(t) = P_0 \times (1 + r)^t \][/tex]
Where:
- [tex]\( P(t) \)[/tex] is the population after t years,
- [tex]\( P_0 \)[/tex] is the initial population (in this case, 170),
- r is the annual growth rate (in decimal form), and
- t is the number of years.
Given that the population is increasing at a rate of 30% per year, we have [tex]\( r = 0.30 \)[/tex].
Substituting the given values into the formula, we get:
[tex]\[ P(t) = 170 \times (1 + 0.30)^t \][/tex]
Simplifying further:
[tex]\[ P(t) = 170 \times (1.30)^t \][/tex]
Therefore, the function that gives the deer population \( P(t) \) on the reservation t years from now is:
[tex]\[ \boxed{P(t) = 170 \times (1.30)^t} \][/tex]
The complete Question is given below:
There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.
Which answer choice represents an
equation?
A Nine more than 7g
B Eight divided by 2x
C Six times the sum of 2 and 4
D Eleven minus h is 3
determine whether the realtionship between the circumference of a circle and its diameter is a direct variation. if so, identify the constant of porportionatlity. justify your response
Step-by-step explanation:
Let the radius of a circle be r
The circumference of a circle is(C) [tex]=2\pi r[/tex]
[tex]=\pi d[/tex] [∵2r =d= diameter]
Therefore [tex]C = \pi d[/tex]
Since the value of [tex]\pi[/tex] is always constant. Here the diameter and the circumference are the variables.
So, [tex]C \propto d[/tex]
Therefore the constant of proportionality is [tex]\pi[/tex]
Find the absolute value of a-b-c^2 when a=4, b=-3, and c=10
Answer:-93
Step-by-step explanation:4-(-3)-10²
4+3-100
7-100
=-93
In a certain chemical, the ratio of zinc to copper is 3 to 11. A jar of the chemical contains 473 grams of copper. How many grams of zinc does it contain?
Answer:
[tex]\large \boxed{\text{129 g}}[/tex]
Step-by-step explanation:
We can use ratio and proportion to solve this problem.
Let x = the mass of Zn
[tex]\begin{array}{cccl}\dfrac{\text{Zn}}{\text{Cu}} & = & \dfrac{3}{11} & \\\\\dfrac{x}{473} & = & \dfrac{3}{11} & \text{Substituted the mass of Cu}\\\\x & = & \dfrac{3\times473}{11} &\text{Multiplied each side by 473} \\\\ & = &\mathbf{129} & \text{Simplified}\\\end{array}\\\text{The mass of Zn is $\large \boxed{\textbf{129 g}}$}[/tex]
Check:
[tex]\begin{array}{rcl}\dfrac{129}{473} & = &\dfrac{3}{11} \\\\\dfrac{3}{11} & = & \dfrac{3}{11} \\\end{array}[/tex]
OK
The tree diagram represents an experiment consisting of two trials.
P(A and C) = [?]
The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18
The probability of A ; P(A) from the tree diagram is 0.6
The probability of B ; P(B) from the tree diagram is 0.3
The probability, P(A and B) equals ;
P(A) × P(B) = 0.6 × 0.3 = 0.18
Therefore, probability of A and B is 0.18
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The probability of P(A and C) would be 0.18. To understand, check the calculations below.
ProbabilityThe probability is recounted as the proportion of outcomes favorable upon the total possibilities.
What information do we have from the tree diagram:
P(A) = 0.6
P(B) = 0.3
so,
we know that,
P(A and C) = P(A) × P(B)
= 0.6 × 0.3
= 0.18
Therefore, the probability of A and C is 0.18.
Learn more about "Probability" here:
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How do I solve for the missing lengths?
Answer:
Part 4) [tex]ER=3\ units[/tex]
Part 5) [tex]DF=9\sqrt{10}\ units[/tex]
Part 6) [tex]DE=30\ units[/tex]
Step-by-step explanation:
Part 4) Find ER
we know that
In the right triangle ERF
Applying the Pythagorean Theorem
[tex]EF^2=ER^2+RF^2[/tex]
substitute the given values
[tex](3\sqrt{10})^2=ER^2+9^2[/tex]
solve for ER
[tex]ER^2=(3\sqrt{10})^2-9^2[/tex]
[tex]ER^2=90-81\\ER^2=9\\ER=3\ units[/tex]
Part 5) Find DF
we know that
In the right triangle DRF
Applying the Pythagorean Theorem
[tex]DF^2=DR^2+RF^2[/tex]
substitute the given values
[tex]DF^2=27^2+9^2[/tex]
[tex]DF^2=810\\DF=\sqrt{810}\ units[/tex]
simplify
[tex]DF=9\sqrt{10}\ units[/tex]
Part 6) Find DE
we know that
[tex]DE=DR+RE[/tex] ----> by segment addition postulate
we have
[tex]DR=27\ units\\RE=ER=3\ units[/tex]
substitute
[tex]DE=27+3=30\ units[/tex]
If f(x)=2(3^*)+1 which is the value of f(2)
Answer:
f(2)=19
Step-by-step explanation:
If *=x, f(2)=2(3^2)+1=2*9+1=18+1=19
Name the object that exhibits rotational symmetry.
1.)Ferris wheel
2.)sunglasses
3.)tent
4.)a pair of scissors
Answer:
1.) Ferris wheel
Step-by-step explanation:
x-2y=8
4x+y=5
Solve linear systems by Multiplying
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
What are the steps to solving -1.56+.73
Answer:
-0.83
Step-by-step explanation:
5x6+(5+7) = please help
Answer:
Step-by-step explanation:5×6=30 and 5+7=12
Then is 30+12=42
The answer is 42
I believe the answer is 42.
Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound
Answer:
16 ounces
Step-by-step explanation:
The answer is option C. 16 ounces.
The most accurate measurement of 1 pound would be 16 ounces, because, by definition, there are 16 ounces in 1 pound.
Among the options provided:
A. 6 ounces: This is less than 1 pound.
B. 20.099 ounces: This is more than 1 pound.
C. 16 ounces: This is equal to 1 pound.
D. 10 ounces: This is less than 1 pound.
So, the most accurate measurement of 1 pound is 16 ounces.
One pound is most accurately measured as 16 ounces. This is because the imperial system defines one pound as equivalent to 16 ounces.
The question is:
Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound.)
A. 6 ounces
B. 20.099 ounces
C. 16 ounces
D. 10 ounces
Is 4 a solution of 2x = 8
Answer: yes
Step-by-step explanation:
2(4)=8
Yes, 4 is a solution of 2x = 8
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
4 is solution of 2x = 8,
Then, putting x = 4
2(4) = 8
8 = 8
LHS = RHS
Hence, 4 is a solution of 2x = 8.
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What is -3(x + 4)+15 = 6 - 4x
Answer:
1/3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
1. Expand.
−3x − 12 + 15 = 6 − 4x
2. Simplify −3x − 12 + 15 to −3x + 3.
−3x + 3 = 6 − 4x
3. Subtract 3 from both sides.
−3x = 6 − 4x − 3
4. Simplify 6 − 4x − 3 to −4x + 3.
−3x=−4x+3
5. Add 4x to both sides.
−3x + 4x = 3
6. Simplify -3x + 4x to x.
x = 3