Answers
Step-by-step explanation:
a-b
a=1/4
b= -2,15 -215/100 semplification -43/20
1/4-(-43/20)
1/4+43/20 minimum comune multiple
5+43/20=
48/20=12/5
Answer:
\(3.4\)
\(\frac{17}{5}\)
\(3\frac{2}{5}\)
Step-by-step explanation:
\(a-b=1\frac{1}{4}-(-2.15)\)
\(=\frac{5}{4} +2.15\)
\(=1.25+2.15\)
\(=3.4\)
In fraction
\(3.4=\frac{34}{10} =\frac{17}{5}\)
mixed number
\(\frac{17}{5} =3\frac{2}{5}\)
I hope this help you
Related Questions
Answer pleaseeee??? Thanks
Answers
Answer:
FALSE
Step-by-step explanation:
DONE THIS
a square's area is 3 times its perimeter. Find the dimensions of the square.
Answers
At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves the harbor and sails east at 20 knots. When will the ships be 300 nautical miles apart? Round to the nearest minute. Note that 1 knot = 1 nautical mile per hour.
The ships will be nautical miles apart at approximately
.
Answers
Answer:
The speed of the first ship= 30 knots The speed of the second ship= 20 knots The first ship started at noon and after three hours second ship started. The direction of the first ship is along South and that of second ship is East.
Step-by-step explanation:
Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercopt form of the equation of a line x-intercept =7;y-intercept =−3 The equation is (Type an equation. Simplify your answer.)
Answers
The equation of a line can be expressed in either the general form (Ax + By = C) or the slope-intercept form (y = mx + b). The equation of the line is y = (3/7)x - 3.
Given that the x-intercept is 7 and the y-intercept is -3, we can use this information to find the equation of the line.
The x-intercept is the point where the line crosses the x-axis, meaning the y-coordinate is 0. Therefore, the x-intercept is (7, 0).
The y-intercept is the point where the line crosses the y-axis, meaning the x-coordinate is 0. Therefore, the y-intercept is (0, -3).
To find the equation of the line, we can use the slope-intercept form. The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1) = (-3 - 0) / (0 - 7) = -3 / -7 = 3/7
Substituting the slope and the y-intercept (b = -3) into the slope-intercept form, we have:
y = (3/7)x - 3
Therefore, the equation of the line is y = (3/7)x - 3.
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The graph shows the rate at which paint is used to paint a wall. wat are the values to each statement below based on the graph.
Answers
Answer:
Step-by-step explanation:
When 1 gallon is has been used 400 square feet of the wall will be paint The unit rate is 400 square feet per gallonThe total cost for tuition plus room and board at State University is 6,584
dollars. Tuition costs 1804 dollars more than room and board. What is the
tuition fee?
Answers
Answer:
$4,194
Step-by-step explanation:
First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.
The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.
what is the length of the base edge?
The length of the base edge of the pyramid is ___ feet.
Answers
The length of the base edge of the square pyramid is 6 feet.
How to find the base length of a square pyramid?The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.
The length of the base edge can be found as follows:
Hence,
surface area of square pyramid = a² + 2al
where
a = base lengthl = slant heightTherefore,
using Pythagoras's theorem, let find the slant height of the pyramid.
c² = a² + b²
where
c = hypotenusea and b are the legsHence,
height = 2 / 3 a
Therefore,
l² = (2 / 3 a)² + (1 / 2a )²
l² = 4 / 9 a² + 1 / 4 a²
l² = 25 / 36 a²
square root both sides
l = 5 / 6 a
Hence,
surface area of square pyramid = a² + 2a(5 / 6 a)
surface area of square pyramid = a² + 10 / 6 a²
surface area of square pyramid = 16 / 6 a²
96 = 16 / 6 a²
96 = 8 / 3 a²
cross multiply
96 × 3 = 8a²
288 / 8 = a²
a² = 36
a = √36
a = 6 feet
Therefore, the base length is 6 feet.
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Suppose a large shipment of laptop computers contained 15% defectives. If a sample of size 294 is selected, what is the probability that the sample proportion will be less than 14%
Answers
Using the normal distribution, it is found that there is a 0.3156 = 31.56% probability that the sample proportion will be less than 14%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).The proportion and the sample size are given, respectively, by:
p = 0.15, n = 294
Hence the mean and the standard error are given, respectively, by:
\(\mu = p = 0.15\)\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.15(0.85)}{294}} = 0.0208\)The probability is the p-value of Z when X = 0.14, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.14 - 0.15}{0.0208}\)
Z = -0.48
Z = -0.48 has a p-value of 0.3156.
0.3156 = 31.56% probability that the sample proportion will be less than 14%.
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Calculate the future value of a three year uneven cash flow given below, using 11% discount rate:
Year 0 Year 1 Year 2 Year 3
0 $600 $500 $400
Answers
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;
Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴
Given the cash flows;
Year 0: $0
Year 1: $600
Year 2: $500
Year 3: $400
Then the Future value of uneven cash flow
= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³
= $600/1.11 + $500/1.23 + $400/1.36
=$540.54 + $405.28 + $293.00
=$1,238.82
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
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5. a. There are 250 mg in a dosage of a particular medication. How many grams is
this? Use the fact that there are 1,000 mg in 1 g.
b. Convert the rate 250 mg/hour to g/day.
Answers
a.
We know that there are 1000 mg in one gram then we have:
\(250\text{ }mg\frac{1\text{ }g}{1000\text{ }mg}=0.25\text{ g}\)Therefore, 250 mg is equal to 0.25 g.
b.
To change the rate we need to remember that there are 24 hours in a day, then:
\(250\text{ }\frac{mg}{h}\cdot\frac{1\text{ g}}{1000\text{ mg}}\cdot\frac{24\text{ h}}{1\text{ day}}=6\text{ }\frac{g}{day}\)Therefore, the rate is 6 g/day
Determine if the two functions f and g are inverses of each other
algebraically. If not, why not?
Answers
Answer:
Step-by-step explanation:
- m/3 = -4
find the answer for m with work provided
Answers
Answer:
m = 12
Step-by-step explanation:
\(-\frac{m}{3} =-4\\\)
→ Multiply both sides by 3
\({-m} =-12\\\)
→ Multiply both sides by -1
m = 12
Please help me answer
Answers
Answer:
Step-by-step explanation:
If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection
Answers
Answer:
Step-by-step explanation:
Hello,
there is not always an intersection point
let's take the example of on the appropriate domain
\(f(x)=e^x \ \ \ f^{-1}(x)=ln(x)\)
there is no intersection point
if there is one it means that the point (x,f(x)) and the point (x,\(f^{-1}(x)\)) is the same so that have to solve
\(f(x)=f^{-1}(x)\)
for instance if we take
\(f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0\)
intersection point are for x >= 0
\(x^2=\sqrt{x} <=>x^4=x<=>x^3=1 \ or \ x=0<=> x = 1 \ or \ x=0\)
hope this helps
Answer:
D
Step-by-step explanation:
pagsagot po plsssssssssssssss
Answers
Jose has $20 in his bank. Every week he puts an additional $25 into his bank account.
Answers
Answer:
how many weeks tho
Step-by-step explanation:
you don't make it clear sorry
An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches, what is the perimeter of the triangle
Answers
Step-by-step explanation:
12 inches
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A bronze statue has a volume of 36 cm³ and a mass of 311.4g. Work out the density of the statue. Give your answer to 2 d.p.
Answers
Answer:
8.65 g/cm³
Step-by-step explanation:
You want the density of a bronze statue with a volume of 36 cm³ and a mass of 311.4 g.
DensityDensity is the ratio of mass to volume:
ρ = mass/volume = (311.4 g)/(36 cm³) ≈ 8.65 g/cm³
The density of the statue is about 8.65 g/cm³.
Mark incorrectly says that 3 1/3 is the same as 3.13. convert 3 1/3 to a decimal correctly. what did he do wrong
Answers
Answer:
3.33
Step-by-step explanation:
3 1/3 is equal to ((3*3)+1)/3
= 10/3
= 3.33 ---------> Final answer
Let f(x)=√x with f:R→R. Discuss the properties of f. Is it injective, surjective, bijective, is it a function? Why or why not? Under what conditions change this?Explain using examples.I'm having some trouble figuring out this equation.
Answers
The function f(x)=√x with f:R→R is injective and surjective but not bijective.
Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.
Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.
Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.
Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.
In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.
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Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%
Answers
The depreciation equation is given by
\(f(x)=27000(0.86^x)\)where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have
\(\text{ initial value = f\lparen0\rparen=27000}\)After one year, the car value corresponds to x=1, that is,
\(\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}\)Now, let's find the depreciation percentage by means of a rule of three:
\(\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}\)so we have
\(x=\frac{23220\times100}{27000}=86\text{ \%}\)So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year
Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag
Answers
If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.
Number of daysUsing this formula
Number of days=Number of ounces×Number of pound bag
Where:
Number of ounces=4 ounces
Number of pound bag=6
Let plug in the formula
Number of days=4×6
Number of days=24 days
Therefore how long will it take her to use up a 6 pound bag is 24 days.\]
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Please answer this its easy
Answers
Answer:
answer is c. 25
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:-))
URGENT: Which of the following shows the polynomial below written in descending order?
4x^2 - x + 8x^6 + 3 + 2x^10
A. 2x^10 + 4x^2 - x + 3 + 8x^6
B. 2x^10 + 8x^6 + 4x^2 - x + 3
C. 3 + 2x^10 + 8x6 + 4x^2 - x
D. 8x^6 + 4x^2 + 3 + 2x^10 - x
Answers
Hope this was helpful
Math question pls help
Answers
Explanation: have a good day
Bridget keeps $500 dollars in a safe at home. She also deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t?
Answers
Simplify 6(x+4)
• 6x + 24
• 10x
• 6x+4
Answers
Answer:
6x+24
Step-by-step explanation:
6(x+4)
expands to 6x+24
Answer:
6x+24
Step-by-step explanation:
when a number is outside of the parenthesis, that number is then multiplied to all of the terms inside the parentheses
first you do 6 * x
then you do 6 * 4
and then you add them together
6*x+6*4
6x + 24
At the end of a party, there was a 1/2 pizza left over. 7 friends decided to divide the leftover pizza equally. What fraction of the whole pizza did each friend have?
Answers
Answer:
Each friend has 1/28 of the whole pizza.
Step-by-step explanation:
1/2 ÷ 7/1 = 1/14
1/14 ÷ 2 = 1/28
what is the opposite of -89?
Answers
Answer:
89
Step-by-step explanation:
Margo made the box plots to compare the number of calories between her morning snacks and her afternoon snacks.
Select from the drop-down menu to correctly complete the statement.
Margo’s typical afternoon snack has about
50
more calories than her typical morning snack.
Two boxes are plot on a horizontal axis labeled as Calories ranges from 50 to 500 in increments of 50. The top box plot ranges from 75 to 260. The first line of the top box ranges from 75 to 100. The first box of the top box ranges from 100 to 175 and second box of the top box ranges from 175 to 250. The second line of the top box ranges from 250 to 260. The top box is labeled as Morning Snack. The bottom box plot ranges from 240 to 375. The first line of the bottom box ranges from 240 to 260. The first box of the bottom box ranges from 260 to 300 and the second box of the bottom box ranges from 300 to 340. The second line of the bottom box ranges from 340 to 375. The bottom box is labeled as Afternoon Snack.
Answers
Where the above conditions is given, the range of calories in Margo’s morning snacks is about 50 more the range of calories in her afternoon snacks.
How is this so?We have been given two box plots. We are asked to find the difference between the range of both box plots.
The range of a box plot is difference between lower value and upper value.
Range of Morning snacks = 275 - 75
= 200
Similarly, we will find the range of afternoon snack.
Range of Afternoon snacks = 375 -225
= 150
Now let is find difference of both ranges as
200 - 150 = 50
Hence, the range of calories in Margo’s morning snacks is about 50 more the range of calories in her afternoon snacks.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Margo made the box plots to compare the number of calories between her morning snacks and her afternoon snacks.
Select from the drop down menu to correctly complete the statement.
The range of calories in Margo’s morning snacks is about ___ ___ the range of calories in her afternoon snacks.
10 less than
50 more than
80
125
