Answer:
D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
Step-by-step explanation:
The domain of a function c(x) is the set of all values, x for which the function f is defined, while the range of the function is the set of all values that c takes.
If the Book Editor , Wallace uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. The statement that best explains the range of his function is Option D.
This is as a result of the fact that, although the number of pages,x will be positive whole numbers, multiplying x by 3.5 makes the function c(x) a positive multiple of 3.5.
Since c(x) is in dollars, we round it up to the nearest cent (hundredths).
At Maki's Swimwear, there are 24 bikini styles and 36 other types of swimsuits.
What percentage of the swimsuit styles are bikinis?
Answer:40%
total 60
24 is 40% of 60
Answer:
40
Step-by-step explanation:
24/60 x 100
40%
The isotope thulium-167 is used in laser scans for medical treatments. Its rate of decay is −0.075. How many days does it take 500 grams of the isotope to decay to 250 g?
Thank you!
9.24 days does it take 500 grams of the isotope to decay to 250 grams.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
Given that
The isotope thulium-167 is used in laser scans for medical treatments
The rate of decay is 0.075
The isotope thulium-167 is used in laser scans for medical treatments.
If we started with 500 grams then we are looking for when only 250 grams are left so
y = y₀e^(-0.075t)
y₀ represents the initial amount of radioactive material
250 = 500e^(-0.075t)
0.5 = e^(-0.075t)
Now take the natural log of both sides which gives us,
ln0.5 = -0.075t
t = ln0.5/(-0.075)
t = 9.24 days
Hence, 9.24 days does it take 500 grams of the isotope to decay to 250 grams.
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What is the length of midsegment XY
Answer:
48 cm
Step-by-step explanation:
The midsegment of a trapezoid is calculated as
[tex]\frac{sumofbases}{2}[/tex], thus
XY = [tex]\frac{34+62}{2}[/tex] = [tex]\frac{96}{2}[/tex] = 48 cm
Rosalie and Tom are creating patterns.
Rosalie uses the rule “add 4” and starts at 3.
Tom uses the rule “add 8” and starts at 7.
Which best compares Rosalie's and Tom's patterns?
A. Tom's number is always equal to Rosalie's number plus 4.
B. Tom's number is always twice as large as Rosalie's number.
C. Tom's number minus Rosalie's number is always divisible by 4.
D. Tom's number is always 3/2 times larger than Rosalie's number.
What is the measure of Angle D F E?
not drawn to scale
38 degrees
52 degrees
118 degrees
142 degrees
Given:
Given that the measure of the exterior angle F is 142°
We need to determine the measure of ∠DFE
Measure of ∠DFE:
The ∠DFE and the exterior angle F are linear pairs.
Thus, the linear pair of angles add up to 180°
Hence, we have;
[tex]\angle DFE+142^{\circ}=180^{\circ}[/tex]
Subtracting both sides of the equation by 142, we get;
[tex]\angle DFE=38^{\circ}[/tex]
Hence, the measure of ∠DFE is 38°
Thus, Option a is the correct answer.
If an alloy requires copper, nickel, and zinc in a ratio of 12:5:3, how many kilograms of each metal are needed to make 5 kg of the alloy?
Answer:
copper=3kg
nikhil=5/4 kg
zinc=3/4 kg
Step-by-step explanation:
copper:nikhil:zinc
12:5:3
let x be one value
12x+5x+3x=5
20x=5
x=5/20=1/4
12*1/4=12/4=3
5*1/4=5/4=1 1/4
3*1/4=3/4
To make 5 kg of the alloy, you would need:
3 kg of copper1.25 kg of nickel0.75 kg of zinc.What is Ratio?A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).
Let's calculate the amounts for each metal:
Copper:
The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.
So, the amount of copper needed
= 12/20 x 5
= 3 Kg
Nickel:
For every 5 parts of the alloy, 1 part should be nickel.
So, the amount of nickel needed
= 5/20x 5
= 1.25 Kg
Zinc:
For every 3 parts of the alloy, 1 part should be zinc.
So, the amount of zinc needed
= 3/20 x 5
= 0.75 Kg
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what is the value of x in the figure below
The heights of a group of boys and girls at a local middle school are shown on the dot plots below. 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. When comparing the shapes of the two sets of data, what conclusion can someone draw? The shortest boy is taller than the shortest girl. The range for the girls is greater than the range for the boys. There is an outlier in the data for the boys, but not for the girls. The girls are generally taller than the boys.
Answer:
d is correct for me
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
using substitution and elimination method solve this simultaneous equation
Y=x+1
X+Y=3
Answer:
x = 1 and
Y = 2
Step-by-step explanation:
1. Y = x + 1
2. X + Y = 3
Substitute equation 1 into equation 2
X + Y = 3
X + X + 1 = 3
2x + 1 = 3
Subtract 1 from both sides to eliminate 1 on the left side
2x + 1 - 1 = 3 - 1
2x = 2
Divide both sides by 2 to isolate x
2x/2 = 2/2
x = 1
Substitute 1 for x in either equation to get Y
Using equation one, we have
Y = x + 1
= 1 + 1
= 2
x = 1
Y = 2
Check
X + Y = 3
1 + 2 = 3
3 = 3
Please help idk if what i chose was right
Answer: the answer is A (4)
Answer:
The correct answer is 8 inches
Step-by-step explanation:
Which value ox is in the solution set of the following inequality -3x+5<17
[tex]-3x+5<17\\-3x<12|:(-3)\\x>-4[/tex]
x∈(-4;+∞)
/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
Tomás ran 6 1/2 kilometers, Jackie ran 8,000 meters, Joseph ran 5.9 kilometers,
Mai Yee ran 2,790 meters. Sarita ran farther than 2 of the people in the table and slower than the others. How far could sarita have ran. Explain how you found your answer.
Answer:
5900 meters < Sarita < 6500 meters
Step-by-step explanation:
Given
Tomás = [tex]6\frac{1}{2} km[/tex]
Jackie = 8,000 m
Joseph = 5.9 km
Mai Yee = 2,790 m
Where km and m represent kilometers and meters respectively
Required
How far could Sarita have ran
First, we'll convert the distance covered by each individuals to one units (Preferably meters)
We'll need to convert distance covered by Tomás and Joseph because they're given in kilometers.
Since 1 km = 1000 m, then we have
Tomás = [tex]6\frac{1}{2} km[/tex]
Tomás = [tex]6\frac{1}{2} * 1000 m[/tex] (Convert fraction to decimal)
Tomás = [tex]6.5 * 1000 m[/tex]
Tomás = 6500 m
Joseph = 5.9 km
Joseph = 5.9 * 1000 m
Joseph = 5900 m
Now that we have the same unit all through, the next step is to list them out
Tomás = 6500 m
Jackie = 8,000 m
Joseph = 5900 m
Mai Yee = 2,790 m
Then, we rearrange in ascending order (from smallest to biggest)
Mai Yee = 2,790 m
Joseph = 5900 m
Tomás = 6500 m
Jackie = 8,000 m
The condition given in the question is that Sarita ran farther than 2 of the people in the table and slower than the other 2
This means that Sarita ran farther than the least 2 "Mai Yee and Joseph"
And at the same time Sarita covered lesser distance than the highest 2 "Tomás and Jackie"
This means that distance covered by Sarita is greater than distance covered by Joseph and less than distance covered by Tomás
Since no option is given, I'll represent the answer using inequality
Recall that
Joseph = 5900 m
Tomás = 6500 m
Sarita could have ran a distance greater than 5900 meters and less than 6500 meters
Distance covered by Sarita: 5900 < Sarita < 6500
A business owner collected data on the people working for her company. She determined the average number of minutes each employee spent on breaks during an average workday. The data, broken up by gender, is shown below.
Answer:
The comparison using median and IQR is best because one of the graphs is not symmetrical.
Step-by-step explanation:
The following information is missing
A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.
A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.
The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison?
The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric.
The comparison would be more accurate using the mean and MAD because the median of both data sets is the same.
The comparison using median and IQR is best because one of the graphs is not symmetrical.
The comparison using median and IQR is best because the median is greater than the IQR for both data sets.
Mean and MAD are useful for comparison when both data sets are symmetrical.
In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)
a lighthouse is 150 feet tall and cast a shadow of 30 feet.Kyle is standing next to a lighthouse and is 6 feet tall. how long is his shadow?
The shadow length of Kyle is 1.2 feet,if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Step-by-step explanation:
The given is,
A lighthouse is 150 feet tall.
Cast a shadow of 30 feet.
Kyle is 6 feet tall.
Step:1
Ref the attachment,
From triangle ABC,
tan ∅ = [tex]\frac{Opp}{Adj}[/tex]......................(1)
Where, Opp = AB = 150 feet
Adj = BC = 30 feet
Equation (1) becomes,
tan ∅ = [tex]\frac{150}{30}[/tex]
= 5
∅ = [tex]tan^{-1}[/tex] 5
∅ = 78.69°
∅ is same for both ABC and PQR triangle.
From triangle PQR,
tan ∅ = [tex]\frac{Opp}{Adj}[/tex]......................(1)
Where, Opp = PQ = 6 feet
Adj = QR = x
Equation (1) becomes,
tan 78.96° = [tex]\frac{6}{x}[/tex]
5 = [tex]\frac{6}{x}[/tex]
x = [tex]\frac{6}{5}[/tex] = 1.2
Shadow length of Kyle, x = 1.2 feet
Result:
The shadow length of Kyle is 1.2 feet, if a lighthouse is 150 feet tall and cast a shadow of 30 feet. Kyle is standing next to a lighthouse and is 6 feet tall.
Which expression is equivalent to: -g -5(2g - 3)?
A. -11g -3
B. -11g +15
C. -10g + 15
D. -10g -3
Please help!!!!!!
Answer:
Option B, [tex]-11g + 15[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]-g - 5(2g - 3)[/tex]
[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]
[tex]-g - 10g + 15[/tex]
[tex]-11g + 15[/tex]
Answer: Option B, [tex]-11g + 15[/tex]
Help me with IXL Math...
I'll MARKO you as Brainliest.
Answer:
x = -5/2
Step-by-step explanation:
Line of symmetry of a quadratic is:
x = h
Where h is the x-coordinate of the vertex.
For any quadratic,
y = ax² + bx + c
h = -b/2a
For the given quadratic,
y = x² + 5x
h = -5/(2×1) = -5/2
Equation of the line of symmetry therefore is
x = -5/2
Answer:
x = -5/2
Step-by-step explanation:
Hope I helped ya.
I know I'm late.
< Sarah >
what is the area of a triangle with a height of 5.5 in. and a base of 4 in.
Answer:
11
Step-by-step explanation:
A=[tex]\frac{bh}{2\\}[/tex]
A=[tex]\frac{5.5*4}{2}[/tex]
A=[tex]\frac{22}{2}[/tex]
A=11
Answer:
A=11in²
Step-by-step explanation:
Plz I need the answer help
Find the sum of the measures of the interior angles of a hexagon.
Answer:
720°
Step-by-step explanation:
The half-life of silicon-32 is 710 years. If 90 grams is present now, how much will be present in 600 years? Round the answer to three decimal
places.
84.88 g
0g
0.257 g
50.102 g
Answer:
option D
Step-by-step explanation:
Given,
half life of silicon-32 = 710 years
Present silicon-32, N₀ = 90 gm
silicon-32 after 600 years,N = ?
[tex]k = \dfrac{-0.693}{t}[/tex]
[tex]k = \dfrac{-0.693}{710}[/tex]
k = -0.000976
Now,
[tex]N = N_0 e^{kt}[/tex]
[tex]N =90\times e^{-0.000976\times 600}[/tex]
[tex]N = 50.104\ g[/tex]
Hence, the correct answer is option D.
The amount of silicon-32 remaining after 600 years is 50.102 grams
Half life is the time taken for a substance to decay to half of its original amount. It is given by:
[tex]N=N_o(\frac{1}{2} )^\frac{t}{t_\frac{1}{2} } \\\\N\ is\ the\ value\ of\ the\ substance\ after\ t\ year, t_\frac{1}{2} \ is\ the\ half\ life\\and\ N_o\ is\ the \ original\ amount[/tex]
Given that half life = 710 years, original amount is 90 g, t = 600 years, hence:
[tex]N=90(\frac{1}{2} )^\frac{600}{710} \\\\N=50.102\ g[/tex]
The amount of silicon-32 remaining after 600 years is 50.102 grams
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The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the
veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight, w, and the dosage, d?
Answer: The answer is the first one d= 1/50w.
Step-by-step explanation: 3/5 divided by 30 is 1/50 as a fraction. This is the unit rate. 1/50 milligrams per pound. Hope this helps!:))
Answer:
it would be D=1/50 W
Step-by-step explanation:
y = -x - 3; (0,7)
Write an equation of the line that is parallel to the given line and passes through the given point.
Answer:
y = -x +7
Step-by-step explanation:
A line that is parallel must have the same slope in this case -x.
Since the y-intercept of the needed solution is 7, the equation is:
y = -x+7
Please mark my answer as brainiest
Two parallel lines are cut by a transversal as shown. What is the value of x? A) 45 B) 55 C) 65 D) 75
Answer:
55
Step-by-step explanation:
180-25=55
Answer: 55
Step-by-step explanation:
A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results.
Number Showing on Top Face Frequency
1 0
2 3
3 3
4 6
5 3
6 5
If you were to use these results to predict the probability of the next number showing on the top face, what type of probability would you be using?
A) Theoretical probability
B) Experimental probability
C) Independent probability
D) Dependent probability
Step-by-step explanation:
Theoretical probability : Theoretical probaility is the value expected from an outcome or an equation assuming perfect conditions. It is based on theories and hypotheisi and not based on real life incidents.
Experimental probability : When we performa n experiment, the values we get are experimental probability. These are actual rsults of the eperiemnt under study
Independent probability : Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.
Dependent probability: If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.
Since the results of the experiment are used and based on the above definitions. we should use experiement probabiity (Option B) to predict he probability of the next number showing on the top face
So far this season, Shawn has averaged 4 out of 11 free throws per game. Based on his previous performance, how many free throws can Shawn expect to make if he takes 22 free throws in his next game?
Answer:
8
Step-by-step explanation:
Multiply 11 by 2 to get to 22; do the same to 4
Geometry question,. Someone please help me!!
Answer:
I think its 23o
Step-by-step explanation:
Which is the product of 4/9 and 72
Final answer:
The product of 4/9 and 72 is found by multiplying 4 by 72 and then dividing by 9, giving us the final answer of 32.
Explanation:
To find the product of 4/9 and 72, you multiply the two numbers together. Here's how you do it:
Write the multiplication expression: 4/9 × 72.
Since 72 is the same as 72/1, you can think of this as multiplying two fractions: (4/9) × (72/1).
Multiply the numerators together: 4 × 72 = 288.
Multiply the denominators together: 9 × 1 = 9.
Combine the results to find the fraction form of the answer: 288/9.
Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 9: 288 ÷ 9 = 32.
The product of 4/9 and 72 is 32.
What is the surface area of the rectangular prism?
128 m2
144 m2
256 m2
288 m2
Help me, please ....
Answer:
see explanation
Step-by-step explanation:
The opposite angles of the inscribed quadrilateral are supplementary, thus
∠ A + ∠ C = 180°, substitute values
14z - 7 + 8z = 180
22z - 7 = 180 ( add 7 to both sides )
22z = 187 ( divide both sides by 22 )
z = 8.5
Thus
∠ A = 14z - 8 = 14(8.5) - 7 = 119 - 7 = 112°
∠ C = 8z = 8(8.5) = 68°
∠ D = 10z = 10(8.5) = 85°
The sum of the 4 interior angles = 360°, thus
∠ B = 360° - (112 + 68 + 85)° = 360° - 265° = 95°
Thus
∠ A = 112°, ∠ B = 95°, ∠ C = 68°, ∠ D = 85°
The owner of a coffee shop chain creates a graph representing sales in thousands of dollars. She describes the characteristics
as follows:
There have been two turning points in sales this year
Sales are expected to increase in the long run.
The least amount of sales during the year is about $250,000,
Which graph correctly shows the coffee shop's sales?
Answer:
I think the graph that best matches the discription is option D (so the last one)
A graph representing this coffee shop chain's sales would likely resemble a 'W', with two significant turning points, never declining below $250,000, and a general upward trend indicating sales are expected to increase.
Explanation:In Mathematics, when we discuss turning points, we generally refer to the points on a graph where the curve changes direction. If sales are increasing in the long run and there have been two 'turning points' this year, the graph should generally showcase a positive upward trend, dips at the points of turning, and then subsequent increases. Given that the least amount of sales during the year is about $250,000, the graph should never fall below this point.
In this context, the turning points would reflect changes in sales - a drop followed by a rise. It’s important to note that without the exact data or the graph, I cannot definitively identify it. However, considering the given descriptive data, we can deduce that the graph might look somewhat like a 'W', with the middle point not declining below $250,000 and a general upward trend.
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