Answer:
7 + 3/8x
Step-by-step explanation:
8+7/8x−1−1/2x.
Combine like terms
8-1 + 7/8x -1/2x
7 + 7/8x -1/2x
Get a common denominator
7 + 7/8x -4/8x
7 + 3/8x
A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank, S(t) in grams per liter (g / 1) , is modeled by the following function S(t) = 500e ^ (- 0.25t) What will the concentration of salt be after 10 hours? Round your answerif necessary to the nearest hundredth
Answer:
41.04
Step-by-step explanation:
thats the answer on khan academy :3 i hope this helps
the concentration of salt be after 10 hours is 14.04 grams per liter
Given :
The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]
here 't' is the time taken . and S(t) is the concentration of salt.
We need to find the concentration of salt S(t) after 10 hours
So , we need to find S(10)
Replace 't' with 10 in the given equation
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]
the concentration of salt be after 10 hours is 14.04 grams per liter
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Solve the system of equations by the substitution method.
x+y=4
y=-3x
Answer:
X= -2 Y=6
Step-by-step explanation:
Answer:
x= -2 y=6
Step-by-step explanation:
-2+6=4
6=-3 x -2
Find the area of the parallelogram
Answer:
120 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 15*8
A =120
Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
Learn more about graphs here
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Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
Find the product.
2 1/3⋅3 1/2
Write the answer as a mixed number.
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*3\frac{1}{2}=\frac{7}{3}*\frac{7}{2}\\\\=\frac{7*7}{3*2}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}[/tex]
What is (2x^2+2x-6) times (x-4)?
Answer:
2x^3-6x^2-14x+24
Step-by-step explanation:
what is the greatest common factor of 32 ab cubed and 40 a squared
Answer:
GCF 32 and 40
Step-by-step explanation:
GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0
A Bag contains eight red marbles and eight blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Both the first and second marbles are red.
Answer:
1/4
Step-by-step explanation:
A bag contains a total of 16 marbles
Red marbles = 8
Blue marbles = 8
The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.
Probability of picking the first red marble = 8/16
Probability of picking the second red marble = 8/16
Probability that both the first and second marble is red = 8/16 × 8/16
= 64/256 = 1/4
Therefore, the probability that both the first and second marbles are red = 1/4
The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __
Answer: 1,926.9
Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on. All you have to do is multiply that first number with the second.
Example: if the gardener collects 20 carrots a week. How many carrots did the gardener collect in a span of 5 weeks?
Simply just multiply 20 x 5 = 100.
Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?
Answer:
Area of the quadilateral = 35 square units.
Step-by-step explanation:
The coordinates of the quadilateral DEFG are given as
D(6,1), E(2,4), F(-5,4) and G(-1,1).
To obtain the area, we need the length of each of the quadilateral's sides.
The length of each side is the distance between the coordinates given.
The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(y₁ - y₂)² + (x₁ - x₂)²]
The lengths of the quadilateral's sides include DE, EF, FG and GD
DE = distance between D(6,1) and E(2,4)
DE = √[(1 - 4)² + (6 - 2)²]
DE = √(9 + 16) = 5 units
EF = distance between E(2,4) and F(-5,4)
EF = √[(4 - 4)² + (2 - -5)²]
EF = √(0 + 49) = 7 units
FG = distance between F(-5,4) and G(-1,1).
FG = √[(1 - 4)² + (-1 - -5)²]
FG = √(9 + 16) = 5 units
GD = distance between G(-1,1) and D(6,1)
DE = √[(1 - 1)² + (-1 - 6)²]
DE = √(0 + 49) = 7 units
The dimensions of the quadilateral show that it is a rectangle.
The area of a rectangle = (length) × (width)
Length = 7 units
Width = 5 units
Area of the quadilateral = 7 × 5 = 35 square units.
Hope this Helps!!!
Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32
And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s
A= (base 1 + base 2 divided by 2) * height
P= a+b1+c+b2
Step-by-step explanation:
A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour. A. What is the price per share after 5 hours? B. What will it be after 23 hours if this rate continues? C. Explain what the signs of the answers mean in this context.
Answer: A.) $19.48
B.) -$1.40
C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.
Step-by-step explanation:
A. The price per share after 5 hours will be $19.48.
B. It will be $19.48 per share after 23 hours if this rate continues.
C. The sign indicates the company is at a loss.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that, A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour.
1 hour = $1.16
5 hour =5 × $1.16
5 hours =$ 5.8 per share
The price drops per share after 5 hours are,
=$25.28-$ 5.8
=$19.48
B)
If the price drops by $1.16 each hour. The price after 23 hours will be,
1 hour = $1.16
23 hour =23 × $1.16
23 hours =$ 26.68 per share
=$25.28 -$ 26.68
=-$1.40 per share
Thus, the price per share after 5 hours will be $19.48, It will be $19.48 per share after 23 hours if this rate continues and the sign indicates the company is at a loss.
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I need help with this
Answer:
40 feet by 30 feet
Step-by-step explanation:
40 x 30 = 1200
40 is the length of the wall
30 is the height of the wall and is 3/4 of 40
Solve the following quadratic equation: (x-16)^2= 256
Answer:
x = 32 or x = 0
Step-by-step explanation:
(x - 16)² = 256
Expand and simplify the equation.
x² − 32x + 256 = 256
Subtract 256 from either side of the equation.
x² − 32x + 256 − 256 = 256 − 256
Simplify the equation.
x² - 32x = 0
Factor and set the factors to 0.
x = 0 or x = 32
The answer is x = 0 or x = 32.
I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.
Good luck ^^
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
is -3 an expression
Answer:
yeah it is an expression
Explanation:
An expression may refer to any of the following:
A combination of letters, numbers, or symbols used to represent a value of a variable. ..
On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?
Answer:
7183 cars
Step-by-step explanation:
On Friday, 2364 cars parked in the garage.
On Sunday, 2,455 more cars parked In the garage than on Friday.
This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:
2455 + 2364 = 4819 cars
Therefore, the number of cars parked in the garage in the two days is:
4819 + 2364 = 7183 cars
7183 cars were parked during the two days.
these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections
Answer:
75 coloured pencils
Step-by-step explanation:
Let's say Jordon has x total pencils.
We know that 20% of these x pencils is 15, so we have:
20% * x = 15
Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:
0.20x = 15
x = 15 / 0.20 = 75
Jordon has 75 coloured pencils.
Answer:
75 pencils
Step-by-step explanation:
Let the total no. of pencils be T
20% of T = 15
20/100 × T = 15
T = 15 × 100/20
T = 15 × 5
T = 75
Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years
Answer:
He will earn an interest of $448 in 4 years
Step-by-step explanation:
In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.
To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition
Mathematically;
I = PRT/100
Where ;
P is the amount invested which is $1,750 according to the question
R is the interest rate which is 6.4%
T is the time which is equal to 4 years
Plugging these figures, we have
I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448
Help!?! I've been trying for the past half hour:/
Answer:
8 units.
Step-by-step explanation:
To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:
f(x)= 2(0)²-4(0)+6 ---> f(x)= 6
Therefore, the y-intercept of the first equation is (0,6).
-------------------------------------------------------------------------------
In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.
When we find the difference between the two, we get:
6-(-2)= 8.
Find The area of the parallelogram
Answer:
209 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 19 * 11
A =209
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Please Help! ASAP! WiLL GIVE BRAINLIEST
Answer:
0.33
Step-by-step explanation:
0.8 of 5 is 0.32768 which rounds to 0.33. Thus, the value of x of 0.33
The equation of a line in slope-intercept form is y = mx + b where mis the slope of the line. True or False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Please answer multiple choice
Answer:
A. 54.09
Step-by-step explanation:
cos (angle) = Adjacent/Hypotenuse
cos (75) = 14/x
x= 14/cos (75)
x=54.09
Answer:
its A
Step-by-step explanation:
Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
Can someone please help
Answer:
1. 24 ft
B. 2
3. 150
4. 34
5. 864
6. 1925
7. 480
8. 22440
Step-by-step explanation:
Is 4.01 greater,less,or equal then 4.9
Answer:
Less
Step-by-step explanation:
