Answer:
Week Mass (gram)
(start) 80
1 88
2 96.8
3 106.48
4 117.128
Step-by-step explanation:
From the question we are told that
The mass of the kitten at the start week is m = 80 g
The rate at which the kitten grows is r = 0.10
Generally the mass of the kitten at the first week is mathematically represented as
[tex]m_1 = ( r * m) + m[/tex]
=>[tex]m_1 = ( 0.10 * 80 ) + 80 [/tex]
=>[tex]m_1 = 88 \ g [/tex]
Generally the mass of the kitten at the second week is mathematically represented as
[tex]m_2 = ( r * m_1) + m_1[/tex]
=>[tex]m_2 = ( 0.10 * 88 ) + 88 [/tex]
=>[tex]m_2 = 96.8 \ g [/tex]
Generally the mass of the kitten at the third week is mathematically represented as
[tex]m_3 = ( r * m_2) + m_2[/tex]
=>[tex]m_3 = ( 0.10 * 96.8) + 96.8 [/tex]
=>[tex]m_3 = 106.48 \ g [/tex]
Generally the mass of the kitten at the fourth week is mathematically represented as
[tex]m_4 = ( r * m_3) + m_2[/tex]
=>[tex]m_4 = ( 0.10 * 106.48) + 106.48 [/tex]
=>[tex]m_4 = 117.128 \ g [/tex]
Week Mass (gram)
(start) 80
1 88
2 96.8
3 106.48
4 117.128
Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?
Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm
Step-by-step explanation:
mode = 65*2.54 = 165.10 cm
median = 72*2.54 = 182.88 cm
mean = 70*2.54 = 177.80 cm
The values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
Given,
The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.
We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.
How many cm in one inch?There is 2.54 cm in one inch.
Example:
If we want to find cm in 4 inches.
We just multiply 4 with 2.54 cm.
2.54 cm = 1 inch
4 x 2.54 cm = 4 x 1 inch
10.16 cm = 4 inches
We have,
We know that,
1 inch = 2.54 cm
Mode = 65 inches
1 inch = 2.54 cm
64 inches = 64 x 2.54 cm = 162.56 cm
Median = 72 inches
72 inches = 72 x 2.54 cm = 182.88 cm
Mean = 70 inches
70 inches = 70 x 2.54 cm = 177.8 cm
Thus the values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
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Which is the correct chemical equation for photosynthesis?
Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.
Answer:
1.) Mixture A will use more salt.
Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.
2.) Mixture A
Step-by-step explanation:
Given the daya:
MIXTURE A
___Salt A(teaspoons _____water (Cups)
___4 _____________5
___7 _____________8 3/4
___9 _____________ 11 1/4
Mixture B is defined by the equation'
y = 2.5x ;
x = number of teaspoons of salt ;
y = number of cups of water
Respond to the following questions:
1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.
For mixture B:
If number of cups of water, y = 10
y = 2.5x ; 10 = 2.5x
10/2.5 = x
x = 4 ; 4 teaspoons of salt
Let's write an equation in terms of y and x to represent mixture A.
Mixture A:
5 = k4
k = 5/4
k = 1.25
Equation for mixture A:
y = 1.25x
10 = 1.25x
10/1.25 = x
x = 8 ; 8 teaspoons of salt
Mixture A will use more salt.
Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.
2. Which mixture tastes saltier? Explain how you know.
Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.
1. Mixture A will use 4 more teaspoon of salt
2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.
Recall:
A proportionate relation is defined by the formula: y = kxk is the constant of proportionality or unit rate between two variables.From the information given:
x = quantity of salt (teaspoons)y = quantity of water (cups)Therefore, k = y/x
Equation for mixture B is given as: y = 2.5x
Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.
Using (4, 5):
k = y/4 = 5/4 = 1.25Thus, substitute k = 1.25 into y = kxEquation for Mixture A is: y = 1.25x
1. Let's find the mixture that will have more salt if y = 10 (cups of water).
Substitute y = 10 in each equation that defines each mixturesMixture A: y = 1.25x
10 = 1.25x
Divide both sides by 1.258 = x
x = 8
Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoonsMixture B: y = 2.5x
10 = 2.5x
Divide both sides by 2.54 = x
x = 4
Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoonsThus, Mixture A will use 4 more teaspoon of salt.
2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.
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A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.
How many of each color should she get if she is buying exactly what is needed and spending all of her budget?
Write an equation for the length constraint. Write an equation for the cost constraint. solution
Answer:
Where s represents silver and g represents gold,
Length constraint: s+g=240
Cost constraint: 0.04s+0.07g=15
s= 60
g=180
Step-by-step explanation:
The measurement of silver and gold threads in yards is given as 60 and 180 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given problem can be solved as follows,
Suppose the number of yards for silver threads be x and that of gold be y.
Then the equation for the total yard is given as,
x + y = 240 (1)
And, the equation for the cost is,
0.04x + 0.07y = 15 (2)
The value of x from equation (1) is x = 240 - y.
Substitute the value of x in equation (2) to obtain,
0.04(240 - y) + 0.07y = 15
=> 9.6 - 0.04y + 0.07y = 15
=> 0.03y = 15 - 9.6
=> 0.03y = 5.4
=> y = 180
Substitute the value of y in x = 240 - y to obtain,
x = 240 - 180 = 60
Hence, the costume designer should get silver and gold thread of 60 yards and 180 yards respectively.
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A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container after x minutes.
How many minutes will it take for the container to empty if the solution continues leaking at the same rate? Show your work or explain how you know.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
PLEASE NEED HELP!!
ASAPPP
Answer:
Its the third option.
Step-by-step explanation:
No, all points on the line are solutions of the equation.
Answer:
answer the last yes because all the points meet
Step-by-step explanation:
find the midpoint (-6,-10) (-2,-8)
What is the 8th term of the sequence 12, 17, 22, 27, 32,...
Answer:
47
Step-by-step explanation:
just keep adding by 5
just a quick question!!
Answer:
The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.
Step-by-step explanation:
im kinda dumb here ... need help again
Answer:
with what lol
Step-by-step explanation:
Answer:need me points
Step-by-step explanation:
The Madison's son Dwayne
The width of a rectangle is 50% more than the length. The perimeter is 65. Find both dimensions.
Answer:
Step-by-step explanation:
Perimeter of rectangle = 2 times width + 2 times length
P= 2W + 2L
Let's say W = width , L= length
We are told the width is 50% more than the length.
width = 0.5 + L
W = 0.5 + L
From here we can say
Perimeter = 2W + 2L so,
P = 2(0.5 + L) + 2L
P = 1 + 2L + 2L
P = 1 + 4L
We are also told perimeter is 65 (P=65)
65 = 1 + 4L
Subtract 1 from both sides
64 = 4L
Divide 64 by 4 to find L
L = 64/4 = 16
Now since we know L= 16, this means
W = 0.5 + L is the same as
W = 0.5 + 16 = 16.5
Therefore Length = 16, width = 16.5
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
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A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?
A photograph is dilated to fit in a frame, so that its area after the dilation is 9 times greater
than the area of the original photograph. What is the scale factor of the dilation?
Answer:
i think its 3
Step-by-step explanation:
Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.
Answer:
[tex]\frac{1}{5} x-4[/tex]
Step-by-step explanation:
I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point
Answer:
y = 1/5x - 4
Step-by-step explanation:
y = mx + b
simply plug in the slope,
y = 1/5x + b
now put in the cooridinates for b,
-3 = 1/5 ( 5) + b
now solve for b,
-3 - 1 = b
-4 = b
now put -4 into the equation,
y = 1/5x - 4
Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC
Answer:
C. WP WB, WC, PB, PC, BC
Step-by-step explanation:
List the possible combinations. (With no duplicates)
WP, WB, WC
PB, PC
BC
Now check your options for the answer with the combinations you had.
That is your answer.
Write 3.6 x 10^-3 in standard form.
Answer: 33
Step-by-step explanation: hope this helps
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
If Coach Smith has 12 players and each player needs three uniforms, three shin guards, two balls, and three pairs of cleats. How much will he end up spending on his equipment for the entire soccer team?
you can't do that. there isn't enough detail. we don't know how much each item costs
Simon began a weight-loss program. He loses weight every two weeks. His weight, in pounds, t months after he began the weight-loss program, is shown by the following expression.
210(0.94)2t
Which statement below best describes the base, 0.94?
A. Simon's weight before he beganm the weight-loss program
B.the rate which Simon loses weight
C. the monthly decrease in Simon's weight
D. the numbers of times Simon has lost weight since he began the weight-loss program
A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is [tex]p-value = 0.22663[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is [tex]H_o : p = 0.08[/tex]
The alternative hypothesis is [tex]H_a : p > 0.08[/tex]
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z)[/tex]
=> [tex]p-value = P(Z > 0.75)[/tex]
From the z-table
[tex]P(Z > 0.75) = 0.22663[/tex]
So
[tex]p-value = 0.22663[/tex]
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
can you help me on this question
they are the same but one of the is a bad pic
52x16 please add explaining to show me how to do it
Answer: 832
Step-by-step explanation:
Below is how I solved it
You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!
2 x 6 = 12
2 x 10 = 20
6 x 50 = 300
50 x 10 = 500
500 + 300 + 20 + 12 = 832
52 x 16 = 832
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Cow
CCM! Payne New
Henry, Ladaris
DISTRICT SWI CA GRADE 6 MATH 20-21
D3101 2. P N →
Eat Test
4
BO
In a TV contest show, Thomas has 280 points. To determine his final score in the game, Thomas will spin the spinner shown below, and multiply his current number of points by the
fraction the spinner lands on
Which statement correctly describes the effect of multiplying his current score by the fractions shown on the spinner?
A Multiplying by will decrease his score
B Multiplying by will decrease his score.
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US 2:41
Answer:
Step-by-step explanation:
Solve for :
8x - 3 = 5 (2x + 1)
Answer:
x = -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10x+5
-3=2x+5
-8=2x
-4=x
Need help ASAP !!! I am failing MATH
Answer:
i think it is D
Step-by-step explanation:
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
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Max ran 15 meters, this morning. this afternoon, he ran 48 meters how many more meters did he run this afternoon.
Please help answer this ?!
Answer:
i think you have the right answer
Step-by-step explanation:
good job!
Answer:
A
Step-by-step explanation:
Unless the shape is dialatedthe side lengths remain constant because you are just moving its position ,
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=ke can be written for the situation. Explain your answer.
Answer:
No. Since the value of the ratio
is not the same for each pair of values, the relationship is not proportional. So, an equation cannot be written for the situation. its c
Step-by-step explanation: