Answer: ITS B
Step-by-step explanation:
(2)(2)(2)(2)(2)
=32
2^5
=32
Hey there! I'm happy to help!
We are talking about exponents here, which is the power to which a number is raised. What does it mean to raise a number to a power? It means to multiply it a certain number times.
For example, 3 to the the 3rd power is 27 because you multiply 3 three times (3×3×3), giving you 27.
We have 2×2×2×2×2. We see that we have the number 2 and need to raise it to a certain power. Since there are 5 2s, we are raising to the 5th power.
Therefore, the answer is B.) 2 to the 5 power.
Have a wonderful day! :D
Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number. will give brainliest
Answer:
366 minute
Step-by-step explanation:
first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366
At a store, sales tax is changed at & rare of
2% on the cost price of an item The sales,
tax on a dress which costs $180 is
Answer:
$3.60
Step-by-step explanation:
Convert the percentage to a decimal.
2% = 0.02
Multiply the cost of the dress by the decimal to find the sales tax.
$180 × 0.02 = $3.60
The sales tax $3.60.
Answer:
3.60
Step-by-step explanation:
sales tax = cost * tax rate
= 180 * 2%
= 180 * .02
=3.60
You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work. The local bank will lend you money for 2 years at a rate of 9% compounded quarterly. Your uncle offers to lend you the money in the form of a promissory note for 2 years with an annual simple interest rate of 6%. How much money will you save by borrowing the money from your uncle?
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
ANY JESUS HELPERS PLEASE HELP The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2
Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
2(y + 4) = 4y
Distribute
2y + 8 = 4y
Step 2 is incorrect because the added instead of multiplied
Continuing on to correct the problem
Subtract 2y from each side
2y+8-2y = 4y-2y
8 = 2y
Divide by 2
8/2 = 2y/2
4 =y
Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
Step 2 is wrong.
2(y + 4) = 4y
The step to solve is to expand brackets or distribute 2, not divide both sides by 2.
2y + 8 = 4y
Subtract both sides by 2y.
8 = 2y
Divide both sides by 2.
4 = y
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)? WILL MARK BRAINLIEST
Answer:
The shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]
Step-by-step explanation:
This question requires an attachment (See attachment 1 for question)
Given
Cube Dimension: 20cm * 20cm
Required
Shortest path from A to B
For proper explanation, I'll support my answer with an additional attachment (See attachment 2)
The shortest path from A to B is Line labeled 2
But first, the length of line labeled 1 has to be calculated;
This is done as follows;
Since, the cube is 20 cm by 20 cm
[tex]Line1^2 = 20^2 + 20^2[/tex] (Pythagoras Theorem)
[tex]Line1^2 = 2(20^2)[/tex]
Take square root of both sides
[tex]Line1 = \sqrt{2(20)^2}[/tex]
Split square root
[tex]Line1 = \sqrt{2} * \sqrt{20^2}[/tex]
[tex]Line1 = \sqrt{2} * 20[/tex]
[tex]Line1 = 20\sqrt{20}[/tex]
Next is to calculate the length of Line labeled 2
[tex]Line2^2 = Line1^2 + 20^2[/tex] (Pythagoras Theorem)
Substitute [tex]Line1 = 20\sqrt{20}[/tex]
[tex]Line2^2 = (20\sqrt{2})^2 + 20^2[/tex]
Expand the expression
[tex]Line2^2 = (20\sqrt{2})*(20\sqrt{2}) + 20 * 20[/tex]
[tex]Line2^2 = 400*2 + 400[/tex]
Factorize
[tex]Line2^2 = 400(2+1)[/tex]
[tex]Line2^2 = 400(3)[/tex]
Take square root of both sides
[tex]Line2 = \sqrt{400(3)}[/tex]
Split square root
[tex]Line2 = \sqrt{400} * \sqrt{3}[/tex]
[tex]Line2 = 20 * \sqrt{3}[/tex]
[tex]Line2 = 20 \sqrt{3}[/tex]
The answer can be left in this form of solve further as follows;
[tex]Line2 = 20 * 1.73205080757[/tex]
[tex]Line2 = 34.6410161514[/tex]
[tex]Line2 = 34.64 cm[/tex] (Approximated)
Hence, the shortest path to take is [tex]20\sqrt{3}\ cm[/tex] or [tex]34.64\ cm[/tex]
Answer:
44.72 cm
Step-by-step explanation:
1. This was marked correct by RSM
2. Unfold the cube, so that points A and B and on points diagonal from each other on a 40 cm x 20 cm rectangle. Now draw a line connecting points A to B. That is the hypotenuse of both triangles. Now according to the pythagorean theorem, the hypotenuse is √2000, which is equal to 5√20.
3. The answer is 44.72 cm
HELP ASAP WILL MAEK BRAINLIEST Find the volume of this rectangular pyramid. Also do the correct unit ex- cm, cm^2 cm^3
Answer:
[tex] 162 cm^3 [/tex]
Step-by-step explanation:
Volume of a rectangular pyramid is given as = [tex] \frac{1}{3}lwh [/tex]
Where,
[tex] l = 9 cm [/tex]
[tex] w = 6 cm [/tex]
[tex] h = 9 cm [/tex]
Plug in the above values into the formula for volume of rectangular pyramid:
[tex] Volume = \frac{1}{3}*9*6*9 [/tex]
[tex] Volume = 3*6*9 [/tex]
[tex] Volume = 162 cm^3 [/tex]
Volume of the rectangular pyramid = [tex] 162 cm^3 [/tex]
Find the value of x in the triangle shown below.
Answer:
x=48
Step-by-step explanation:
The other angle is 66° because it's an isosceles triangle
so
180=66+66+x
180=132+x
x=48
Answer:
48 degrees
Step-by-step explanation:
Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48
SOMEONE HELP ME ASAP. THIS IS A QUESTION ON MY PLATO FOR ALGEBRA 2 Type the correct answer in the box. Tiffany is monitoring the decay of two radioactive compounds in test tubes at her lab. Compound A is continuously decaying at a rate of 12% and compound B is continuously decaying at a rate of 18%. Tiffany started with 30 grams of compound A and 40 grams of compound B. Create a system of inequalities that can be used to determine when both compounds will be less than or equal to the same mass, M, where t is time, in weeks, PA is the initial amount of compound A, PB is the initial amount of compound B, and r is the rate of decay. Enter the inequalities in the field by replacing the values of PA, PA, and r.
Answer:
From Plato
30e-0.12t less than or equal to M
40e-0.18t less than or equal to M
Step-by-step explanation:
It is given that compound A decays at a rate of 12% per week, and compound B decays at a rate of 18% per week. Since the rates represent decay, the r-value is negative. A decay rate of 12% is represented by an r-value of -0.12, and a decay rate of 18% is represented by an r-value of -0.18.
The initial amount of compound A is 30 grams and the initial amount of compound B is 40 grams. Substitute the initial amounts of each compound and their respective decay rates into the system of inequalities.
The following system of inequalities can be used to determine when the remaining mass of the two compounds, M, will be the same, after t weeks.
If f(x) = x-6 and g(x) = x^1/2 , find g(x) x f(x) .
Answer:
x^3/2 - 6x^1/2
Step-by-step explanation:
f(x) = x - 6
g(x) = x^1/2
g(x) * f(x) = x^1/2(x - 6)
g(x) * f(x) = x^3/2 - 6x^1/2
(1.7 x 103) x (2 x 103)
Answer:
Step-by-step explanation:
First off:
multiply 1.7x103 and you get 175.1 then you multiply 2x103 and you get 206.
multiply 175.1x206 and you get 36070.6
Final answer is 36070.6
Answer:
36070.6
Step-by-step explanation:
how to do this question plz
Answer:
48.
Step-by-step explanation:
[tex]\frac{24\sqrt{72} }{3\sqrt{2} }[/tex]
= (24 / 3) * [tex]\frac{\sqrt{72}} {\sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }[/tex]
= 8 * [tex]\frac{\sqrt{144}} {2}[/tex]
= 8 * (12 / 2)
= 8 * 6
= 48.
Hope this helps!
The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIj is a _______
followed by a _______
1.
A.Reflection across the y axis
B.90 degree counter clockwise rotation about point A
C.90 degree clockwise rotation about point A
D. 90 degree counter clockwise rotation about point B
2.
A.Clockwise rotation about point B and a translation 20 units down
B.reflection across the y axis and a translation 20 units down
C. Reflection across the x axis and a translation 15 units down
D. Reflection across the y axis and a translation 25 units down
Plz respond quick
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a B. 90 degree counter
clockwise rotation about point A followed by a B. Reflection across the y-
axis and a translation 20 units down
Reasons:
Rotation 90° counterclockwise about the point AThe coordinates of the point (x, y) following a rotation of 90°
counterclockwise is the point (-y, x)
Taking point A as the origin
The coordinates of point A = (15, 10)
Coordinates of the points B, relative to the point A = (0, 10)
Coordinates of the points C, relative to the point A = (5, 5)
Coordinates of the points D, relative to the point A = (5, -5)
The location of the image of point B, following a rotation about the point A, is therefore;
B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)
Reflection across the y-axisThe coordinates of the image of the point (x, y), following a reflection
across the y-axis is the point (-x, y). The coordinates of the parallelogram
A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),
C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ
are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)
Translation 20 units downThe x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,
therefore, we translate A''B''C''D'', 20 units down to get;
B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)
Coordinates of A'''(-15, -10) = G(-15, -10)
Coordinates of B'''(-5, -10) = H(-5, -10)
Coordinates of C'''(-10, -5) = I(-10 - 5)
Coordinates of D'''(-20, -5) = J(-20, -5)
Therefore;
The sequence of transformation that can be performed on quadrilateral
ABCD to show that is congruent to GHIJ is a;
B. 90 degree counter clockwise rotation about point AFollowed by a;
B. Reflection across the y-axis and a translation 20 units downLearn more here:
https://brainly.com/question/1593448
HELP PLEASE!! Find the volume of a cone with a base diameter of 12 ft and a height of 6 ft.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.
Answer:
288
Step-by-step explanation:
Answer:
[tex]V=72\pi ft^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a cone:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the vertical height.
We know that the diameter is 12ft. This means that radius must be 6ft.
And we are given that the vertical height is 6ft.
Plug in the numbers:
[tex]V=\frac{1}{3}\pi (6)^2(6)\\V=2(36)\pi\\V=72\pi ft^3[/tex]
i need help im confused on how to do this. need correct answer
Answer:
11√6
Step-by-step explanation:
5√6 +6√6 will equal to 11√6, because since √6 is the same, you just add the number on the outside
Find all values of x, giving your answer to 3 significant figures where necessary, for 0 is equal or smaller than x and 2 pi is equal or larger than x.
a) 3 sin x + 2tan x = 0
In the diagram below, BD is parallel to XY. What is the value of y?
Answer:
67 degrees
Step-by-step explanation:
alternate exterior angles are always congruent
Answer:
The value of y is 67°.
Step-by-step explanation:
Here, given that;
BD is parallel to XY. let EF be a transversal line meeting BD at O and XY at P.
now, angle XQF = 67°
now, angle XQF + angle YQF=180° (being linear pair)
or, 67°+angle YQF =180°
or, angle YQF=180°-67°
therefore angle YQF = 113°.
now, angle YQF + angle PQY=180° (being linear pair).
now, 113°+angle PQY = 180°.
or, angle PQY = 180°-113°.
therefore, angle PQY =67°.
again, angle EPD= angle PQY (being corresponding angles).
or, y°= 67°.
Therefore the value of y is 67°.
hope it helps...
Find the equation of a line whose x intercept is 5 and y intercept is 2.
Answer:
[tex]y = - \frac{2}{5} x + 2[/tex]
∆ABC is an equilateral triangle. Find the angle of rotation that maps A to B.
Plz give an explanation and correct answer to get brainliest
Answer:
120
Step-by-step explanation:
Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!
The level of water in a dam was decreasing by 20% each day. If the level of water was 1500cm,what was the level after two days?
Answer:900
Step-by-step explanation:
Answer:
960 cm.
Step-by-step explanation:
For the first day:
Subtract the primary level of water by the 20% of it. 20% of 1500 is:
[tex]0.2*1500=300[/tex] (Convert the percent to decimal)
Then subtract 1500 to 300. That would become 1200cm for the first day.
For the second day:
Subtract the level of water from the first day by 20% of it. 20% of 1200 is:
[tex]0.2*1200= 240[/tex]
Then subtract 1200 to 240. That would become 960 for the second day.
The level of the water after 2 days is 960 cm.
The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 4, where x is the number of employees he hires. If he hires the number of employees that will maximize his profit, what will his profit be in dollars per day? (Enter an exact number.) dollars per day
Answer:
[tex]\large \boxed{\sf \ \ \text{The maximum profit is \$94 per day.} \ \ }[/tex]
Step-by-step explanation:
Hello,
The coefficient in [tex]x^2[/tex] is negative.
So, there is a maximum at the vertex point which is
[tex]x=-\dfrac{b}{2a}==\dfrac{-6}{-0.2}=\dfrac{6}{0.2}=30[/tex]
And then the maximum is f(30)=
[tex]-0.1\cdot 30^2+6\cdot 30 +4=-90 +180+4=94[/tex]
So the maximum profit is 94 $ per day.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A box contains 10 red marbles and 10 green marbles. Sampling at random from this box five times without replacement, you have drawn a red marble all five times. Without replacing any of the marbles, what is the probability of drawing a red marble the 6th time?
Answer:
5/15 is the probability of choosing a red marble from the box.
Step-by-step explanation:
We know that,
There are 5 red marbles and 10 green marbles in the box.
Divide the number of events by the number of possible outcomes. This will give us the probability.
P(red marble) = P(5)
Possible outcomes
5 red, 10 green -> 15 possibilities
Probability = [tex]\frac{5}{15}[/tex]
Please leave a 'thanks' if this helped!
The required probability of drawing a red marble the 6th time is 1/2.
Given that,
A box contains 10 red marbles and 10 green marbles.
Sampling at random from this box five times without replacement, you have drawn a red marble all five times.
Without replacing any of the marbles.
We have to determine,
What is the probability of drawing a red marble the 6th time?
According to the question,
There are 10 red marbles and 10 green marbles,
The initial condition is to the same state at every step, so the probability to get a red marble is the same in each sampling and is equal to the ratio of the number of red marbles to the total number of samples.
Therefore,
The probability of drawing a red marble the 6th time is,
[tex]P = \dfrac{10}{10+10}\\\\P = \dfrac{10}{20}\\\\P = \dfrac{1}{2}[/tex]
Hence, The required probability of drawing a red marble the 6th time is 1/2.
To know more about Probability click the link given below.
https://brainly.com/question/14210034
In the diagram below, ab is parallel to cd what is the value of x ?
Answer:
x is 45 degrees
Step-by-step explanation: The corresponding angles theorem states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. In this case, the 45 degree angle and x are congruent, meaning that x is 45.
Answer:
45
Step-by-step explanation:
Please answer question now
What the answer now to the question
Step-by-step explanation:
Hello!!!
Given, VXW is a Right angled triangle where WV =4 and XV =5.
now, by taking reference angle as angle W, and using tangent we get;
p=5
b=4
again,
tan thita =p/b
tan thita = 5/4
so, tan thita =1.25.
now, to find angle W, we should do tan thita inverse;
or, (tan thita)-1= tan thita-1(1.25)
or, (tan thita) -1 =51.3401°.
Now, by rounding off we get,
tan thita (angle W )= 51°.
Hope it helps....
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answer:
2x^2+4x+11
Step-by-step explanation:
is 0.99 an repeating number
Answer:
No
Step-by-step explanation:
0.99 is not a repeating decimal because it terminates, meaning that it "ends". We know this because there are no more digits after 9 and there is no "..." at the end of the decimal.
A man invested $800 at a 5.5% annual interest rate. How long will it take for his
money to earn $132 in interest?
Answer:
3 years
Step-by-step explanation:
I assume it's simple interest.
I = Prt
132 = 800 * 0.055 * t
t = 132/(800 * 0.055)
t = 132/44
t = 3
Answer: 3 years
What imaginary number is equivalent to (square root symbol) -36?
Answer:
6 i
Step-by-step explanation:
The imaginary number "6 i" when squared gives :[tex](6\,i)^2=36\,(i)^2=36 (-1) = -36[/tex]
Answer:
Step-by-step explanation:
[tex]\\ \sqrt{-36 }=\sqrt{36 \times -1} =\sqrt{36 \times \iota^2}=\pm 6 \iota\\so~ 0+6 \iota\\and~0-6 \iota[/tex]
If the perimeters of each shape are equal, which equation can be used to find the value of x? A)(x+4)+x+(x+2)=1/2x+(x+3) B)(x+2)+x+(x+4)=2(1/2x)+2(x+3) C)2 (x) + 2 (x + 2)=2(1/2 x) + 2(x+3) D)x + (x + 2) + (x + 4) =2 (x + 3 1/2)
(x+2) + x + (x+4) = 2(1/2) + 2(x+3)
Step-by-step explanation:
They are equal to each other and the rectangle has 2x more perimeter
The triangle would be divided in half from that rectangle.
Factor 2x2+5x+2 I need just the answers in the box that it i don't need u to show ur work (please be quick)
Answer:
2x²+5x+2=(2x+1)(x+2)
Answer:
See details below
Step-by-step explanation:
in ax^2+bx+c = 2x^2+5x+2,
a=2,b=5,c=2.
1. a*c = 2*2 = 4
2. factor 4 to get 1,2,4, Factors that add to b=5 are 1 & 4.
3. (2x^2+x) + (4x+2)
4. x(2x+1) + 2(2x+1)
5. (2x+1)
6. (2x+1) ( x+2)
Some of the details may not be the same as what is expected as we do not know the format expected.