Answer:
t = - 24
Step-by-step explanation:
Given t varies inversely as a then the equation relating them is
t = [tex]\frac{k}{a}[/tex] ← k is the constant of variation
To find k use the condition t = 2 when a = - 4
2 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 8 = k
t = [tex]\frac{-8}{a}[/tex] ← equation of variation
When a = [tex]\frac{1}{3}[/tex] , then
t = [tex]\frac{-8}{\frac{1}{3} }[/tex] = - 24
help and I'll give someone brainliest
simplify (a^-2b^2/a^2b^-1)^-3
Answer:
[tex]\frac{a12}{b3}[/tex]
Step-by-step explanation:
Hope this is right and helps you!
Answer:
a^12/b^9
Step-by-step explanation:
You need to multiply the exponent -3 to every other exponent
So then you would end up with a^6b^-6/a^-6b^3
Now you need to flip the negative exponents to the other side which would be a^12/b^9
Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation? 3x-8=7
Answer:
5
Step-by-step explanation:
3x - 8 = 7
collect like terms
3x = 8 + 7
3x = 15
divide both sides of the equation by 3
x = 15/3 = 5
A right rectangular prism is 10 inches long, 6 inches wide, 10 inches tall. What are the area and the perimeter of a cross-section that is parallel to the base of the prism?
the area of a cross section parallel to the base is the base
the base is 4inches by 3 inches
area is 12 square inches
perimeter is 2(L+W)=2(4+3)=2(7)=14 inches
area is 12 square inches
perimeter is 14 inches
A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.
Answer:
18 bacteria
Step-by-step explanation:
The formula for Exponential growth is given as:
y = a (1 + r)^t
a = Initial sample size = 5
y = Sample size after time t
r = Growth rate = 6% = 0.06
t = Time in hours = 22
Hence,
y = 5 (1 + 0.06)²²
y = 5 × 3.6035374165783565
y =18.017687083 bacteria
Approximately = 18 bacteria
Therefore, there would be 18 bacteria in the sample after 22 hours
Find the surface ara of the square pyramid. Enter your answer in the box
Answer:
341 cm²
Step-by-step explanation:
The base is 11 x 11 = 121
Then there is 4 side that are triangles, 11 x 10 ÷ 2 = 55 -----> 55 x 4 = 220
220 + 121 = 341
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-4 x 3/2
Step-by-step explanation:
It will end up being -6 which is less than -4.
Tell me if it is wrong.
Have a nice day!
Answer:
We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.
-4 x [tex]\frac{3}{2}[/tex] = -6
So, the answer is less than -4.
Please give Brainliest!
Have a great day!
The sum of two numbers is 24. The second number minus the first number equals 2.
Let x represent the first number. Let y represent the second number.
Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )
Answer:
(11, 13)
Step-by-step explanation:
First Equation: x+y=24
Second Equation: y=x+2
x + (x + 2) = 24
2x + 2 - 2 = 24 - 2
2x/2 = 22/2
x = 11
y = (11) + 2
y = 13
Therefore, the solution to the system is (11, 13)
Just a few more, help??????????
Answer:
53
Step-by-step explanation:
complementary angle meaning it needs to have the whole sum of 90 degree.
90-37=53
what the answer to this qoution
Answer:
the slope is -2/1 or -2x
equation is y= -2x-5
Is answer of this right or wrong.Pls help me
Answer:
pretty sure thats right!
Step-by-step explanation:
we just tested on this
The sum of two numbers is 52 and the difference is 16. What are the numbers?
Answer:
18
Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=83°, and RS = 7 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
x ~0.9
Step-by-step explanation:
To solve for (x) in the given right triangle, use the trigonometric ratios, which are the following,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Each of the sides of a triangle is named with respect to the given angle. In this problem, one is given the side opposite to the given angle, and the side adjacent to it. Use the ratio of tangent (tan) to solve for the unknown side.
[tex]tan(83)=\frac{7}{x}[/tex]
Manipulate the equation so that it is solved for (x),
[tex]x=\frac{7}{tan(83)}[/tex]
x ~ 0.859
The equation below has two answers. One of the answers is X=5. What is the other value of X?
Answer:
x = - 5
Step-by-step explanation:
The absolute value function always gives a positive result , then
| - 5 | = | 5 | = 5
Thus x = 5, x = - 5
What is the volume of the composite solid? 6 m 4 m 3 m 4 m 4 m
Answer:
Please read explanation
Step-by-step explanation:
A picture would be helpful, but I think the answer might be (6x4x3)+(3x4x4). If your shape is made up of many parts, you should find the volume of each shape then add them up to find the total volume. (To find volume, multiply base x height x width) If you could give a picture, it would be very helpful because I don't really know which numbers I should multiply to find volume. I hope this explanation helps, and please comment if you need to ask me anything.
Answer:
Answer is 136 cubic meters
Step-by-step explanation:
What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches
I need help ASAP
Find the Area of the Trapezoid.
Answer:
18 ft^2
Step-by-step explanation:
Two sides of a parallelogram are 200 feet and 580 feet. The measure of the angle between these sides is 112°. Find the area of the parallelogram to the nearest square foot.
Answer:
Area of the parallelogram = 107,555 square feet
Step-by-step explanation:
Let
h = height of the parallelogram
sin (112°) = h/200 feet
h = sin(112°) × 200
h = 0.927184 × 200
= 185.4368 feet
h = 185.44 feet
Area of the parallelogram = base × height
= 580 feet × 185.44 feet
= 107,555.2 square feet
To the nearest square root = 107,555 square feet
Area of the parallelogram = 107,555 square feet
Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.
Answer:
100,000,000,000
Step-by-step explanation:
1 000 000 times 100 000 = 100,000,000,000
If the inflation rate is 4%, how much will a house now worth $187,000 be worth in 23 years?
Answer:
$172040
Step-by-step explanation:
187,000 (0.04) = $7480
23(7480) = $172040.
-----------------OR-----------------
187,000 x 0.04 x 23 = $172040
I need help with the question attached above in the picture
Which of the following cannot be solved using nPr?
permutations of the letters of the word "OF"
permutations of the letters of the word "PERMUTATION"
permutations of the letters of the word "THINGS"
permutations of the letters of the word "N"
Answer:
permutations of the letters of the word "PERMUTATION"
Step-by-step explanation:
The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.
What is the permutation?The permutation is defined as considered an ordered combination.
The following formula computes the permutation of r items from n:
P(n, r) = n! /(n-r)!
here order matters and repetition is not allowed.
Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.
As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.
However, the word "PERMUTATION" has repeated letters.
Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.
Learn more about the permutations here:
https://brainly.com/question/1216161
#SPJ2
Mrs. Rogers' sister is two years older than Mrs. Rogers. Their combined ages add up to 88. How old is
Mrs. Rogers?
To make a jug of plant fertilizer, Malaika uses 6 cups of water and 3 scoops of fertilizer. Bart uses 8 cups of water and 5 scoops of fertilizer. Will Malaika's and Bart's plant fertilizer have the same strength? Explain.
Answer:
No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer
Step-by-step explanation:
6*4=24 4*3=12
8*3=24 5*3=15
Can someone help me please?
Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3
Mean
Median
Range
Mid range
Answer:
mean: 34/15=2.27
median: 2
range: highest-lowest...... 6-0=6
mid range: high + low divided by 2
6+0=6/2=3
Answer:
Mean: 2.27
Median: 2
Range: 6
Mid-range: 3
Step-by-step explanation:
The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.
2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34
There are 15 numbers in this data set.
34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)
2.27 is the mean.
-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The median is 2.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The range is the smallest number subtracted from the largest number.
6 - 0 = 6
6 is the range.
--------------------------------------------------------------------------------------------------------------
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6
The formula for mid-range is:
Maximum value + largest value ÷ 2.
The largest value is 6.
The minimum value is 0.
6 + 0 = 6
6 ÷ 2 = 3.
The mid-range is 3.
daniella made a table and a graph for the equation y=3x did daniella make these items correct select true statement
Answer:
B
Step-by-step explanation:
if you can see in the graph, the graph axes calculation is not the same with the one given.
Type the correct answer in the box.
The area of the figure is ___ square units.
Answer:
26 square units
Step-by-step explanation:
We are given a diagram and are asked to find the area of the figure in square units.
To solve, take in mind that we need to multiply the sides given.
Area is L * W, therefore, we know that our length is 5 by 2 units, while our width is 3 by 2 units.
First start with the length, since it is 5 by 2 we multiply 5 and 2 :
5 * 2 = 10
Then with the width, since it is 3 by 2, we can multiply 3 and 2 :
3 * 2 = 6
Then do the length again since the bottom part of the diagram needs to be included, it is also 5 by 2 :
5 * 2 = 10
Add all these together to get your answer :
10 + 6 + 10
16 + 10
26 square units.
Solve for x
x=?
please help real quick!!!
Answer:
x = 33 degrees
Step-by-step explanation:
To get the value of x, we use the appropriate trigonometric ratio
The side that faces the right angle is the hypotenuse and we have this measure as 25
The side that measures 21 is adjacent to the angle x
So we have to use the trigonometric ratio that connects the hypotenuse and the adjacent
The trigonometric ratio that does this is the cosine
so;
cosine is the ratio of the adjacent to the hypotenuse
So therefore;
cos x = 21/25
x = arc•cos (21/25)
x = 33 degrees
A triangle has sides with lengths of 6 miles, 11 miles, and 15 miles. Is it a right triangle?
Answer:
No
Step by step explanation:
a² + b² = c²
6² + 11² = 15²
36 + 121 = 225
157 =/= 225
Answer:
No
Step-by-step explanation:
15 would be the longest angle or, the angle directly across the right angle
To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick
Answer:
24 km/hStep-by-step explanation:
The speed of the boat in the lake = xThe speed of the current = 3 km/hRequired equation:
54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/h