Answer:
A, B, E and F.
Step-by-step explanation:
A triangles side must be larger than the difference of the other sides, and smaller than the sum of the other sides. So in this case we could create an equation such as, 9-7<x<9+7. From this equation we can conclude that this side can be between 2 and 16. So, A, B, E and F all work.
At a school there are five lessons in a day in total the five lessons last 4 hours assume that each session lasts the same amount of time how many minutes long is the final lesson
Answer:
48 minutes long
Step-by-step explanation:
For a total amount of minutes the lessons are, take 4x60. 4 for the total time in the lessons and 60 for 60 minutes in an hour. 4x60= 240 minutes.
Take 240/5. 240 is the total number of minutes and with the five lessons being the same amount of time, you divide the total number of minutes by the number of lessons. 240/5= 48 minutes
If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x)
Answer:
(f-g) (x) = 2x – 1 - log(x)
Step-by-step explanation:
f(x) = 2x – 1
g(x) = log x
We are given the two function and want to subtract g(x) from f(x)
(f-g) (x) = 2x – 1 - log(x)
pls help me asap
Find the mean and standard deviation for the set of data.
{17, 20, 4, 15, 12, 6, 14, 13, 16}
Answer:
Standard deviation = 5.1
Mean = 13
Median = 14
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
The mean of a set of numbers is the sum divided by the number of terms.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
When an antibiotic is introduced into a culture of 70,000 bacteria, the number of bacteria decreases at a continuous rate. After 5 hours, there are only 40,000 bacteria. Determine the the continuous rate. Round your answer to the nearest tenth of a percent. Use a positive sign if it is a continuous growth rate or negative sign if it is a continuous decay rate. Do not write the percent sign in your response.
Answer:
- 10.6 % per hour
Step-by-step explanation:
By 'continuous rate' I assume you mean linear bacteria/hour
40 000 - 47 000 = - 30 000 bacteria in 5 hours
- 30 000 bacteria / 5 hours = - 6000 bacteria per hour
But then you ask for percentage....so maybe you want an exponential rate
then 40 000 = 70 000 ( 1 - x)^5
where x = decimal percentage , 5 = years
solve for x = 10.588 % DECREASE per hour
What is the slope of the line that goes through the points (-4,2) and (8,5)?
The slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.
What is Slope of a straight line?
The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -
m = (y₂ - y₁)/(x₂ - x₁) = tan Ф
Given is a line that passes through the points (-4, 2) and (8, 5).
The slope of a straight line passing through two points is given by -
m = (y₂ - y₁)/(x₂ - x₁)
The coordinates given are (-4, 2) and (8, 5).
Substituting them in the formula, we get -
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 2)/(8 + 4)
m = 3/12
m = 1/4
Therefore, the slope of a straight line passing through the points (-4, 2) and (8, 5) is 1/4.
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helllppppppppppp please
Considering the volume of a rectangular prism, the limitations are given as follows:
Upper: 500, Lower: 0.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
V = lwh.
For the toy, the dimensions are of 1 inch, hence:
V = 1 x 1 x 1 = 1 inch³.
For the box, the dimensions are of 10 x 10 x 5 inches, hence:
V = 10 x 10 x 5 = 500 inches³.
500/1 = 500, hence the upper limit is of 500, while the lower limit is of 0.
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The diagram shows the intersections of several straight roads. The avenues run parallel to each other.
First Avenue and Second Avenue are parallel. Oak goes through both streets at point A and B. Main goes diagonally down through both streets and intersects with Oak Street. The distance from First to Second on Main is 280 feet. The distance from Second to the intersection of Oak is 140 feet. The distance from Point B to the intersection of Main is 113 feet.
Amana walks along Oak from point A to B. To the nearest foot, how far does she walk?
75 ft
226 ft
307 ft
347 ft
By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.
How to determine the distance?By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.
By applying the property of similar triangles, the distance Amana walked is given by:
(AB + 113)/113 = (280 + 140)/140
(AB + 113)/113 = 420/140
(AB + 113)/113 = 3
AB + 113 = 3 × 113
AB + 113 = 339
AB = 339 - 113
AB = 226 ft.
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Answer: B. 226 ft.
Step-by-step explanation: Trust Me! I got it correct on Edge.
Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? explain how you know. a small parallelogram has a left side length of 10 centimeters and a top side length of 15 centimeters. a larger parallelogram has a left side length of x centimeters and top side length of y centimeters. not drawn to scale the ____-centimeter side corresponds to the y-centimeter side.
The 15 cm side is equivalent to the y centimeter side.
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
So from the given question the given figure can be inferred which is attached below
The "y" side of the parallelogram corresponds to the bigger side of the parallelogram, as seen in the figure, and the "x" side corresponds to the shorter side.
Since "y" relates to the longer side and the longer side is 15 cm, the 15 cm side is equivalent to the y centimeter side.
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I need help with this problem.
x3+4x
Answer: x=0 x=2i x=-2i
if your factoring: x(x^2+4)
Step-by-step explanation:
(if your solving for x)
[tex]x^{3} +4x\\x(x^{2} +4)\\\\x=0\\\\x=\frac{-b}{2a}\frac{+}{-} \frac{\sqrt{b^2-4ac}}{2a} \\\\x=\frac{0}{2}\frac{+}{-} \frac{\sqrt{0^2-16}}{2} \\x={0}}\frac{+}{-} \frac{\sqrt{-16}}{2} \\[/tex]
[tex]x={0}}\frac{+}{-} \frac{4i}{2} \\\\\\x=\frac{+}{-}2i[/tex]
On his way to and home from work, John can ride his bike at a constant speed of 16 mph. If he lives 60 miles away from work, how much time does he spend commuting to, and returning from, work each day
Answer:
7.5 hours
Step-by-step explanation:
16 mph = 16 miles per hour
how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles
120/16
= 7.5 hrs
Sides that match up between two similar figures are called corresponding sides.
Use the diagram of two similar triangles to complete the proportion below.
Answer 1 box 1 :height of fox
Answer 2 Box 1 :length of trees shadow
Answer 3 box 1 :length of foxes shadow
Answer 1 box 2 :height of fox
Answer 2 Box 2 :height of tree
Answer 3 box 2 :length of foxes shadow
please help my grandmother will beat me if I get this wrong
The diagram of two similar triangles to complete the proportion is; Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.
How to solve similar triangles?From the concept of similar triangles, we know that If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor.
Applying this similar triangles theorem to our question, we can say that;
Height of a person/length of a person's shadow = Height of flower/length of a flower's shadow
We can rewrite this to get;
Height of Person/Height of flower = Length of a person's shadow/Length of flowers' shadow.
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I need the answers asap
Answer:
The red is the pre-image. The blue is after the 1st transformation. The green is after the 2nd transformation.
Step-by-step explanation:
This is because; you can see the tiny marks. 1 mark next to the letter represents 1 transformation while 2 marks next to letter symbolize the 2nd transformation! I hope this helped you :D
There were three parts to Rita's race. She ran the first part, which was 4/9
of the total distance, in 20 minutes. She ran the second part, which was 2/5
of the remaining distance, in 12 minutes. She finally ran the third part in 15 minutes at a speed of 300 meter per minute.
How long was the second part of the race? What was Rita's speed in that section of the race?
The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.
Speedlet
distance covered in first Part = d1distance covered in second Part = d2distance covered in third Part = d3speed covered in first Part = s1speed covered in second Part = s2speed covered in third Part = s3Distance in second Part:
d₃ = 15 x 300
= 4500 m
d₂ = 2/5 × d₃
= 2/5 x 4500
d₂ = 1800 meters
Speed in second part:
S₂ = 1800 m / 12 min
S₂ = 150 meters per minute
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Mateo is making lemonade. he needs 1 1/4 cups of suger.If he can only find 1/8 cup measuring cup.What should you suggest he do.
Answer:
Mateo can measure out the sugar 10 times using the 1/8 measuring cup because 10 times 1/8 equals 1 1/4
Step-by-step explanation:
5 Quick algebra 1 questions for 50 points!
Only answer if you know the answer! :)
Step-by-step explanation:
So it's important to define what parallel is. If one line is parallel to another line, it will never intersect the other line. This means the two lines must be changing by the same amount simultaneously. In other words, they have the same slope. It's also important to remember that same slope doesn't mean they're parallel. You also have to look at the y-intercept. If they have the same y-intercept, and the same slope, then they're the same line. So two lines are only parallel, if the slopes are the same and they have different y-intercepts.
So now that you understand what's parallel let's look at some of the problems
1. So this is kind of tricky, because as I mentioned before, parallel lines have the same slope, but in this case a slope cannot be defined. For two vertical lines to be parallel, they just have to have different a different x-constant. Because x is what's constant, and if they're different, then the two lines will never intersect. This gives us the general formula for a vertical parallel line: [tex]x=a\text{ where a} \ne3[/tex] (this is specific to this problem, since the constant in the graph is x=3). Since the parallel line must pass through (-5, -4) this means that the constant for x, must be -5, because the x is constant, if it equals anything else, it will never equal -5. So the parallel line in this case will be: [tex]x=-5[/tex]
2. So the equation is already in slope-intercept form, so we don't have to solve for the slope. The slope in this case is 8, which can be determined by looking at the formula. This gives us the general formula for the parallel line: [tex]y=8x+b\text{ where b}\ne 4[/tex]. b cannot equal 4, because if it did, then we would have two lines that are the same, not parallel, otherwise b can be anything else. Since we have a point that the parallel line goes through, we can plug this in as (x, y) to solve for b: [tex]21=8(4)+b \implies21=32+b\implies -11=b[/tex]. So now this gives us the complete equation: [tex]y=8x-11[/tex]
3. The image is a bit low quality, although from what I can see the linear equation intersects the origin (0, 0) and (4, -1). This gives us the equation for the slope -1/4 (rise/run). which gives is the slope -1/4. So this gives us the general equation: [tex]y=-\frac{1}{4}x+b \text{ where b} \ne0[/tex]. b cannot equal 0, since it would then have the same y-intercept, meaning the two lines would be the same. In this case we also get some coordinates which we can plug into the equation to solve for b: [tex]-5=-\frac{1}{4}(12)+b\implies -5=-3+b\implies-2=b[/tex]. This gives us the complete formula: [tex]y=-\frac{1}{4}x-2[/tex]
4. This is similar to the vertical line, as there is a constant value, but in this case a slope can be defined, and that slope is 0; it's 0 for all horizontal lines. So we have the general equation: [tex]y=0x+b \text{ where b}\ne4[/tex]. This can be simplified to: [tex]y=b \text{ where b} \ne4[/tex]. Since the line passes through (13, -7), that means b must equal -7, because the y does not depend on x. It's a constant value. So you have the equation: [tex]y=-7[/tex]
5. [tex]y-6=\frac{3}{5}(x+5)[/tex]. So in this case we have the point-slope form. We don't need to convert it to the slope-intercept form, since all we need to form the parallel line is the slope, sort of. You technically do need the y-intercept, so you know what b cannot equal, so that you don't have the same line, but I'm assuming, the coordinates they're giving you, do not pass through the original line, but rather a parallel line. So we have the general equation: [tex]y=\frac{3}{5}x+b[/tex]. Plugging the given coordinates give you the equation: [tex]8=\frac{3}{5}(0)+b \implies8=b[/tex]. You didn't really need to do this, since if you noticed the coordinates have x=0, which means the y-value by definition is what b is equal to, since b is the y-intercept. So this gives you the equation: [tex]y=\frac{3}{5}x+8[/tex]
how many solution does the pair of equation Y is equal to -3 and Y is equal to 6 have
Answer:
4
Step-by-step explanation:
it takes four equations
Carla is shopping for Storage Bags. At the grocery store, Brand A Storage Bags are priced $4.59 for 40 count, or Brand B Storage Bags priced $3.99 for 30 count. Which is the better buy, Brand A or Brand B?
Answer:
Brand A
Step-by-step explanation:
Comment
The question is one of finding out what the unit cost is.
Brand A: $4.59 has a count of 40
Brand B: $3.99 has a count of 30
Brand A
unit = 4.59 / 40 = 0.115
Rounded: 0.12
Brand B
unit = 3.99 / 30 = 0.133
rounded: 0.13
Brand A even with proper rounding is the better buy
Answer:
Brand A
Step-by-step explanation:
The cost comparison can be done a variety of ways. The most formal of solutions will calculate the cost per bag for the two brands.
Informal solutionThe cost for 10 bags of Brand B is $3.99/3 = $1.33. The cost for 10 more bags (40 bags instead of 30) of Brand A is $4.59 -3.99 = $0.60. This is less than the $1.33 it would cost to buy 10 more bags of Brand B, so ...
Brand A is the better buy
Formal solutionThe cost per bag is found by dividing the cost by number of bags:
Brand A: $4.59 / (40 bags) = $0.11475 per bag
Brand B: $3.99 / (30 bags) = $0.133 per bag
13¢ per bag is more than 11¢ per bag, so Brand A is the better buy.
How would you simplify the fraction
4/28?
O
AIA
1
0 5
1/28
Answer:
1/7
Step-by-step explanation:
Divide the top and bottom by 4 to get
1 / 7
Answer:
1/7
Step-by-step explanation:
4 and 28 are divisible by 4.
4/4 = 1
28/4 = 7
4/28 = 1/7
A farmer plants the same amount every day, adding up to 413 acres at the end of the year. If the year is 58 over, how many acres has the farmer planted?
Using proportions, it is found that the farmer has planted 258 acres.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
He plants 413 acres during the entire year, hence, considering he plants an equal amount daily, and the year is 5/8 over, the amount he has planted is:
A = (5/8) x 413 = 258 acres.
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Jims backpack weighs 3 kg when filled how many pounds is this approximately?
Answer:
6.6
Step-by-step explanation:
1 kilogram to pounds is 2.2 lbs
therefore, 3kg= 2.2× 3 lbs= 6.6 lbs
Answer:
approximately 6.6 lb
Step-by-step explanation:
1 kg equals approximately 2.2 lb.
Therefore (multiplying both sides by 3) we get
3 kg equals approximately 6.6 lb
An electronics shop sells only TVs, phones and tablets. Number sold Select all of the statements below that are true. Number of electronic devices sold 80 60- 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday, Tuesday and Wednesday On Tuesday, more tablets were sold than any other type of electronic device An electronics shop sells only TVs , phones and tablets . Number sold Select all of the statements below that are true . Number of electronic devices sold 80 60 40 20 0 Monday Tuesday Wednesday Day Key TV Phone Tablet The largest total number of electronic devices sold was on Wednesday The smallest number of TVs sold was on Monday The same number of phones was sold on each of Monday , Tuesday and Wednesday On Tuesday , more tablets were sold than any other type of electronic device
A graph is a way to represent a lot of data in such a visual format. The correct statements are A, B, and D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The statement that is correct about the given table is,
A.) The largest total number of electronic devices sold was on Wednesday.
B.) The smallest number of TVs sold was on Monday.
D.) On Tuesday, more tablets were sold than any other type of electronic device
hence, the correct statements are A, B, and D.
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4 (-15 - 3p ) - 4 (-p + 5 )
A. (-8p - 80)
B . ( -13p - 80 )
C. ( -8p + 80 )
D ( 8p - 80)
Answer:
Answer A is correct
Step-by-step explanation:
4 (-15 - 3p ) - 4 (-p + 5 )
First, solve the brackets.
-60 - 12p + 4p - 20
Combine like terms.
- 80 - 8p
∴ - 8p - 80
In triangle ABC, m∠ABC = (4x – 12)° and
m∠ACB = (2x + 26)°. Yin says that if x = 19, the triangle must be equilateral. Is he correct? Justify your answer.
Triangle A B C is shown. Angles A B C and B C A are congruent.
The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that
m∠ABC = (4x – 12)°
m∠ACB = (2x + 26)°
Let m∠ACB = y degree
It is asked that if x =19 degree , is the triangle equilateral
m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree
As in an equilateral triangle , the angles are all equal and equal to 60 degree.
If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .
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Answer:No, Yin is not correct. If
x = 19, the measure of angle ABC = 4(19) – 12 = 64. Therefore, the two base angles measure 64°. An equilateral triangle is equiangular, so each angle would have to measure 60° because there are 180° in a triangle.
Step-by-step explanation: Because ;0
The line graph shows the performance of stock over a 5 - day period. Describe what is misleading about the display.
The graph is misleading because it doesn't begin at zero and the graph starts on Mon.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have a line graph shown in the picture that represents the stock price over a 5 - day period.
As we can see in the graph,
The graph starts on the Mon and price was $11.4(approximated)
Examples of "classic" deceptive graphs include those in which the vertical scale is off, skips digits, or doesn't begin at zero.
Thus, the graph is misleading because it doesn't begin at zero and the graph starts on Mon.
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Tracy made a Venn diagram to compare the numbers of students in her English and history classes. How many students are in Tracy's English class?
The total number of persons that are ion Tracy's English class is given as 21.
How to find the persons in the English Class
We have the Venn diagram showing that there are 14 people in English
15 people in history
While there is a number of 7 students intersecting the two subjects.
Hence the people that attend both history and English are 7.
From here we would know that an English class would be made up of 14 + 7 persons
= 21 persons.
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Write the number which is seventeen less than ten
thousand and four:
A number which is 17 less than 10,004:
10,004-17=9987
Hope it helps!
Benjamin threw a rock straight up from a cliff that was 96 ft above the water. If the height of the rock h, in feet, after t seconds is given by the equation
h=-161² +116t+96, how long will it take for the rock to hit the water?
Answer:
8 seconds
Step-by-step explanation:
When it hits the water h = 0
0 = -16t^2 + 116t + 96 ( I corrected the equation in the question)
solve for 't' using quadratic formula t = 8 s ( and - .75 s <===throw out)
A bag contains 39 colored marbles. There are 6 blue marbles, 14 red marbles, 8 yellow marbles, and 11 clear marbles. What is the ratio of blue marbles to red marbles?
Answer:
[tex]6:14=3:7[/tex]
Step-by-step explanation:
There are 6 blue marbles and 14 red marbles, so the ratio of blue marbles to red marbles [tex]=6:14=3:7[/tex]
If the probability is 50% what is the probability of getting 2 goals out of 5?
please help!
Using the binomial distribution, it is found that there is a 0.3125 = 31.25% probability of getting 2 goals out of 5.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are given as follows:
n = 5, x = 2, p = 0.5.
Hence the probability is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125[/tex]
0.3125 = 31.25% probability of getting 2 goals out of 5.
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The function f(x) is shown in the graph.
f(z)
Which type of function describes f(x)?
O Exponential
Logarithmic
Rationall
Polynomial
The function f(x) is shown in the graph is (a) an exponential function
How to determine the function type?From the graph, we can see that:
The function starts from a baseIt then increases, exponentiallyOnly exponential functions have the above features
Hence, the function f(x) is shown in the graph is (a) an exponential function
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