The volume of this cube is 2.744 cubic meters. What is the value of t?
Answer:
t = 1.4 meters
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
2.744 = t^3
Take the cube root of each side
(2.744) ^ 1/3 = t^3 ^ 1/3
1.4 = t
Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2
Answer:
Step-by-step explanation:
[tex](5^{-2}[/tex] × [tex]4^{-4}[/tex] [tex])^{-2}[/tex]
=[tex](5^{-2}[/tex][tex])^{-2}[/tex] x [tex](4^{-4})^{-2}[/tex] ∴[tex](a.b)^{n} =a^{n} .b^{n}[/tex]
=[tex]5^{-2.-2}[/tex] x [tex]4^{-4 . -2}[/tex] ∴[tex](a^{n} )^{m}[/tex] = [tex]a^{nm}[/tex] // here m is an exponent of [tex]a^{n}[/tex].
=[tex]5^{4}[/tex] x [tex]4^{8}[/tex]
Please help! Algebra 2!!
Mistake found
3x-2(2x-4)=2
3x - 4x - 8 = 2 instead of 3x - 4x + 8 = 2
Correct answer
x= -13 y= -30
Answer:
See below.
Step-by-step explanation:
So we have the system of equations:
[tex]3x-2y=21 \text{ and } y=2x-4[/tex]
The student took the following steps:
[tex]3x-2(2x-4)=21\\3x-4x-8=21\\-x-8=21\\-x=29\\x=-29\\y=2(-29)-4=-58-4=-62[/tex]
The student's mistake is in step 2. He/she distributed incorrectly. You are supposed to distribute the -2 to both terms, so it should be -4x plus 8, since -2 times -4 is positive 8. Fixing that mistake, we will have:
[tex]3x-2(2x-4)=21\\3x-4x+8=21 \\-x+8=21\\-x=13\\x=-13\\y=2(-13)-4=-26-4=-30[/tex]
Thus, the final answers should be (-13, -30).
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate the current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million. As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.
If P represents the population of each species of insect in millions, and t represents the elapsed time in years, then which of the following systems of equations can be used to determine how long it will be before the populations of the two species are equal?
Answer:
the system of equation that can be used to determine how long it will be before the populations of the two species are equal is :
[tex]\begin{cases} {\mathtt{P = 1.3 e^{-0.038 \ t}} & \\ \mathtt{P = 2.1 \ e^{-0.046 \ t}} & \end{cases}[/tex]
Step-by-step explanation:
Given that :
the current population of insect A to be 1.3 million
the current population of insect B to be 2.1 million.
As development is encroaching on the section of rain forest where these insects live, the zoologists estimate the populations of insect A to be reducing at a rate of 3.8% and insect B to be reducing at a rate of 4.6%.
The equation that can be used to determine how long it will be before the populations of the two species are equal is an equation for exponential decay, which can be represented as follows:
[tex]\mathtt{y = pe^{-rt}}[/tex]
where;
P represents the population of each species of insect in millions
t represents the elapsed time in years
r is the rate of decrease
So, we can have:
[tex]\mathtt{p_1 = 1.3 }[/tex] in million and [tex]\mathtt{p_2 = 2.1}[/tex] in million
Also for rate of decrease;
[tex]\mathtt{r_1 = 0.038}[/tex] and [tex]\mathtt{r_2 = 0.046}[/tex]
Therefore;
the exponential decay for Population of insect A can now be:
[tex]\mathtt{P = 1.3 e^{-0.038 \ t}}[/tex]
the exponential decay for Population of insect B can now be:
[tex]\mathtt{P = 2.1 \ e^{-0.046 \ t}}[/tex]
Hence, the system of equation that can be used to determine how long it will be before the populations of the two species are equal is :
[tex]\begin{cases} {\mathtt{P = 1.3 e^{-0.038 \ t}} & \\ \mathtt{P = 2.1 \ e^{-0.046 \ t}} & \end{cases}[/tex]
Answer:
A!
Step-by-step explanation:
Plato
How can I find how many 13 are in 33?
Answer:
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
Step-by-step explanation:
Long division:
13 33
13*2 = 26
33 - 26 = 7
we have: 33/13 = 2 r7
we know that we can rewrite the remainder as 7/13
therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)
Can you solve this. I have waste 60 pts on this.
I need only 11, 12 and 13( a,b,c answer.
:)
give me all of these answer
Answer:
11
Step-by-step explanation:
you can find the area of the cube and convert it to liters, if the area if the cube is more than the amount of soil then the soil is less, if the amount of soil is more than area of the cube then u have more soil and if they're both the same u have the perfect amount of soil
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
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What are the solutions to the equation 3(x – 4)(x + 5) = 0? x = –4 or x = 5 x = 3, x = 4, or x = –5 x = 3, x = –4, or x = 5 x = 4 or x = –5
Answer:
x= 4 x = -5
Step-by-step explanation:
3(x – 4)(x + 5) = 0
Using the zero product property
(x – 4)=0 (x + 5) = 0
x= 4 x = -5
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
x = –4 or x = 5
x = 3, x = 4, or x = –5
x = 3, x = –4, or x = 5
x = 4 or x = –5
Answer:
D. x = 4 or x = –5
Step-by-step explanation:
Help me please, this all is of 4 marks
Step-by-step explanation:
1) 250 n(tnc)
2) 100
this your answer
Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?
Answer:
I'm sorry but I can give exact numbers but I would like to help work it out so...
Step-by-step explanation:
So overall she had £500 to start with
And £1 is equal to 10.4 rand
So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds
Hope this helps
If this seems incorrect please comment and I will change my answer thanks:)
I can’t figure out which formula goes with which sequence. Help……. Please???
1st sequence:
1,3,9,27,….
What is the formula?
2nd sequence:
400,200,100,50,…
What is the formula?
3rd sequence:
4,8,16,32,…
What is the formula?
4th sequence:
400,100,25,6.25,…
What is the formula?
5th sequence:
1,5,25,125,…
What is the formula?
6th sequence:
1000,500,250,125,…
What is the formula?
7th sequence:
2,10,50,250
What is the formula?
I need to know the correct geometric sequence formula for each of these sequences. Thanks!!!
For a geometric sequence
a, ar, ar ², ar ³, …
the n-th term in the sequence is ar ⁿ ⁻ ¹.
The first sequence is
1, 3, 9, 27, …
so it's clear that a = 1 and r = 3, and so the n-th term is 3ⁿ ⁻ ¹.
The second sequence is
400, 200, 100, 50, …
so of course a = 400, and you can easily solve for r :
200 = 400r ==> r = 200/400 = 1/2
Then the n-th term is 400 (1/2)ⁿ ⁻ ¹.
Similarly, the other sequences are given by
3rd: … 4 × 2ⁿ ⁻ ¹
4th: … 400 (1/4)ⁿ ⁻ ¹
5th: … 5ⁿ ⁻ ¹
6th: … 1000 (1/2)ⁿ ⁻ ¹
7th: … 2 × 5ⁿ ⁻ ¹
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
Learn more about probability here;
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Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:
hy
What set of transformations is performed on EFGH to form E'F'G'H'?
Answer:
A translation 3 units to the right and a 90-degree clockwise rotation
Step-by-step explanation:
Plz Hurry! Find the equivalent for -(3)^-4.
Answer:
-1 ( 1/3*1/3*1/3*1/3)
Step-by-step explanation:
-(3)^-4
The exponent is only affecting what is inside the parentheses
-1 * (3) ^-4
We know that a^-b = 1/a^b
-1 * 1/3^4
-1/3^4
-1 ( 1/3*1/3*1/3*1/3)
Please answer this question now
Answer:
70 degrees
Step-by-step explanation:
Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.
Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees
Answer:
70°
Step-by-step explanation:
64 * 2 = 128
Inscribed angle is half the arc, so arc BC is 128-90 = 38
A is half of arc BCD, which is 102 + 38 = 140
so m<A = 70°
Mikayla has $32 in her piggy bank. Her sister, Jessica, has $21. Mikayla earns $10 a week by doing chores for her grandparents, while Jessica earns $12 a week by mowing lawns. Which expressions give how much more or less money Mikayla has compared to Jessica after x weeks? Check all that apply. 11 – 2x ,2x – 11, 11 + 22x ,32 + 10x – (21 + 12x) 32 – 21 + 10x – 12x
Answer:
Hey There!! The answer to this is: 32+10x-(21+12x) We are given that:
Amount MIkayla has in here piggy bank initially = $32
Money earned by Mikayla per week = $10
Money earned by Mikayla in x weeks = 10x
Total money MIkayla has after x weeks = 32+10x
Amount Jessica has in here piggy bank initially = $21
Money earned by Jessica per week = $12
Money earned by Jessica in x weeks = 12x
Total money Jessica has after x weeks = 21+12x
Comparing,
In order to compare, we subtract the money earned by Jessica from that earned by MIkalya,
The final expression would be:
32+10x-(21+12x
Hope It Helped!~ ♡
ItsNobody~ ☆
Answer:
1
4
5
Step-by-step explanation:
Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )
Answer:
Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2
Step-by-step explanation:
x^2+5x-7
x^2+5x+(2.5)^2-(2.5)^2-7
(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)
Solution of the functions are x=(-5±sqrt(53))/2
Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.
Parameterize C by
r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉
with 0 ≤ t ≤ π. Then the line integral is
[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]
When f(x)=4, what is the value of x?
O zero
O 2
O 3
O4
Answer:
x = 2
Step-by-step explanation:
f(x) is the range and values of x the domain
When f(x) = 4 the corresponding value of x in the domain is x = 2
Answer:
2
Step-by-step explanation:
this might not be the best explanation but this is how I thought of it.
f(0)=4? any number multiplied by zero equals zero so it is not the first answer.
f(2)=4? if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.
f(3)=4? there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.
f(4)=4? if f were to be 1 then this could be a possible answer.
so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.
Will Mark Brainlest Help Please ,,,,
find the value of x and y
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value
[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
CAN A KIND SOUL PLEASE HELP ME OUT??!!!!!!!!!!!!!!
The translation (x, y)->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
please show how you got it so I can see if the answer makes sense!!!!
Answer:
First find the coordinates of the vertices. A=(-8,8), B=(-8,3) and C=(-4, 4). Next apply transformation, A'=(2, 2), B=(2, - 3) and C=(6, - 2). Next map this and join them to get the required triangle
Help? Please! I need hElppz
Answer:
-29Step-by-step explanation:
- 22 - □ = 7
=> - 22 - 7 = □
=> - 29 = □
=> □ = - 29 (Ans)
What is the vertex for this function? y = 3x^2 - 6x + 12
A. (1,9)
B.(-1,21)
C. (1,21)
D. (-1,9)
D (-1,9) i did it in calcukator
the volume of a solid come is 616cm^3. Find it's height if the base radius is 7cm
Answer:
height = 4cm
Step-by-step explanation:
volume = п r² h
п = 3.14 (aprox.)
r = radius
h = height
volume = 616cm³
then:
616 = 3.14 * 7² * h
616 = 3.14*49*h
616 = 153,86 * h
h = 616 / 153.86
h = 4
height = 4cm
Answer:
Your answer is
Step-by-step explanation:
If u multiply 616cm^3 multipied by 7 cm gives you the correct answer because volume multiplied by radius=height of that particular object.Hope this helps....
Have a nice day!!!!
if b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac
Answer:
ac is 200% of cd
Step-by-step explanation:
To answer this question, we shall be making a visual representation.
Let’s take it one at a time.
Given;
b is the midpoint of ac
a b c
What this means is that a-b represents 50%, while bc represents another 50%
okay, we move on:
c is the midpoint of bd
b c d
What this means is that bc is 50%, while cd is another 50%.
So let’s combine the representations;
a 50% b 50% c 50% d
Now what does the question says again?
What percent of cd is ac?
From a to c, we can see two 50% which means 100%
while cd is just the regular 50%
So we can see that ac is actually twice cd
What we are saying here is , if cd is x, then ac is 2x
So we can restructure our question to mean, what percent of x is 2x?
That is simply 2x/x * 100 and that is 200%
Answer: ac is 200% of cd
Step-by-step explanation:
In a lemon cordial drink, water is mixed with lemon juice in the ratio
water : lemon juice = 4:1.
a
What percentage of the cordial drink is lemon juice?
What is the answer
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
If the ratio of water to lemon juice is 4:1, that means that for every 5 portions of the cordial drink, 4 are water and 1 is lemon juice. In other words, 4/5 of the drink is water and 1/5 is lemon juice. The percentage of the lemon juice would be 1/5 = 20%. The answer is 20%.
John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?
Answer:
3 boxes with 4 sweets and 2 boxes with 5 sweets
Step-by-step explanation:
Boxes with 4 sweets= xBoxes with 5 sweets= yAs per given, we have following equations:
x + y = 54x + 5y = 22x= 5- y as per the first equation, considering in second one:
4(5 - y) + 5y = 2220 - 4y + 5y = 22y =2Then:
x= 5 - y = 5 - 2= 3So there 3 boxes with 4 sweets and 2 boxes with 5 sweets
u and v are position vectors with terminal points at (-1, 5) and (2, 7), respectively. Find the terminal point of -2u + v.
==================================================
Work Shown
We'll be using these vector properties
Rule 1: (a,b) + (c,d) = (a+c, b+d)Rule 2: k*(a,b) = (k*a, k*b)To get the following
-2u + v = -2*(-1, 5) + (2,7)
-2u + v = (-2*(-1), -2*5) + (2,7) .... apply rule 2
-2u + v = (2, -10) + (2, 7)
-2u + v = (2+2, -10+7) .... use rule 1
-2u + v = (4, -3)
Factorize this and solve no p, q, s, t, w
explanation:
all the questions are solved
in question no. s and t u need to divide the number in two different parts to slove
for no. w we can get two type of solution.
p and q u need to give the power of whole .
Answer always, sometimes or Never.
Natural numbers are ----------- integers
Irrational numbers are ----------- rational numbers
Rational numbers are --------- real numbers
Square roots are __________Rational numbers
Step-by-step explanation:
1)Always
2)never
3)Always
4)Never