Step-by-step explanation:
y = f(x)
this has the same meaning. y is just the variable for the functional result value. while x is usually used as variable for the input value.
so (I recommend to use the brackets to make sure that people understand it is meant that x gets multilevel by 3 in the numerator, and not by 4 in the denominator),
y = 12 + (3/4)x
is the same as
f(x) = 12 + (3/4)x
you could also write it as
f(x) = 12 + 3x/4
don't skip things, always think about the rules of the sequence of the operations in an expression, and how a reader could understand it. always be as precise, complete and consistent as possible.
If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same.
Sydney and Maria each mix their own batch of pink paint.
Are their batches the same shade of pink?
Answer:
No because their ratios are different and not equivalent
the height of a frame is 2/3 times its width
The height of the frame is 1 m and the width is 1.5 meters.
The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.
The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.
Perimeter(p)=2×[height(h)+width(w)]
The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.
Let us consider the width be x.
Hence height=[tex]\frac{2}{3} x[/tex]
Now perimeter =
[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]
But the given perimeter is 5 meter.
Therefore:
[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]
Therefore the width is 1.5 meters.
Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.
So we can conclude that the width is 1.5 meters and the height is 1 meter.
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Problems.
87. the 4550 men in the arena comprised 85% of the people in
the arena. how many people were in the arena?
There are 5354 people were in the arena.
Percentage:
The term percentage is referred as a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
The formula for calculating the percentage is,
Percentage = (Actual value/Total value) x 100
Given,
Here we have that, 4550 men in the arena comprised 85% of the people in the arena.
Now we need to find how many people were in the arena.
Let p be the number of people in Arena.
So, based on the percentage formula,
It can be written as,
=> 85% = (4550 / p) x 100
=> 85/100 = 4550 /p
=> 0.85 = 4550/p
=> 4550/0.85 = p
=> p = 5354
Therefore, there are 5354 people were in the arena.
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HELP! (3x4)+ 52 MARKING BRAINLY!
Answer:
64
Step-by-step explanation:
[tex]3 \times 4\\= 12\\= 12 + 52\\= 64[/tex]
Answer:
64
Step-by-step explanation:
first 3 x 4 = 12
12+52=64
someone pls explain what is adding and subtracting whole numbers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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The Amari family installed an inground pool, what is the volume of the inground pool?
50 points for the answer
Answer:
154^2ft
Step-by-step explanation:
you multiply LxWxH for getting the volume
Suppose at bulk rate, instant potato flakes cost 12.04 cents, or $0.1204, per ounce.
a. if a box costs $77.05, how many pounds of potato flakes are in the box?
(hint: there are 16 ounces in a pound.)
b. what would a 2-pound box of potato flakes cost?
Cost of flakes per ounce is $0.1204 ,
a. If a box cost $77.05 then approximately 640 pounds of flakes are in box.
b. Cost of 2-pound flakes is $3.8525.
As given,
Cost of flakes = $0.1204/ounce
a.
Cost of a box =$77.05
1 pound =16 ounces
$0.1204 =1 ounce
⇒$77.05 =77.05 /0.1204
= 639.95
≈ 640 ounces
= 40 pounds
b. Cost of 2 pounds =(77.05 /40)× 2
= $3.8525
Therefore, there are
a. Approximately 640 pounds of flakes are in box.
b. Cost of 2-pound potato flakes is $3.8525.
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j + (-6); j = -3 “evaluate each expression for the given value”
Answer:
-3+(-6)= -9
Step-by-step explanation:
Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?
Which factor provides the basis for the grading of newly diagnosed malignant tumors? size of the tumor x number of metastases degree of differentiation of the cells number of lymph nodes involved
The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.
What is the degree of differentiation?The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.
The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.
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Jamal works at a grocery store part-time He must earn at least $200 each week He earns $8.50 per hour. Which inequality represents the number of hours, x, Jaal must work each week?
Answer: 24
Step-by-step explanation: he needs at least 24 hours and he will make 204 dollars.
Find the measure of the missing angles.
62°
b\co
The measures of angles B and C are 118° and 62°, respectively.
What are the measures of two missing angles generated by the intersection of two lines?
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
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write the next three terms of the arithmetic seqence below 1, 9, 17, 25, 33
Answer:
41,49,57
Step-by-step explanation:
the difference between each no. is 8
so add 8
Find the value of x please.
Answer:
79°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral (4 sided figure) IS 360.
Take 360 - (101 + 121 + 59)
360 - 281 = 79
f (x) = -4x² + 10x + 13
Find f(7)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
Evaluatef(x) = -4x² + 10x + 13f(7) = -4(7)² + 10(7) + 13f(7) = -4(49) + 70 + 13f(7) = -196 + 70 + 13f(7) = -113f(7) is -113.
Y varies jointly as a and n2 when s=7 and n=4, y=336. find y when s is 12 and n is 7
Y= 1764
It is given that y varies jointly as s and n2
From the given question if s = 7 and n = 4 then y =336
So,
y= k * s * n^2
Let k a constant number
336= k * 7 * 4^2
336 = k *7* 16
336 = k * 112
Therefore, k = 3
So now we get the General equation i.e
y= 3 * s * n^2
Now we have to find the value of y when s= 12 and n= 7
Y=3* 12* 7^2
= 3*12*49
=1764
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You have compared the obtained value with the critical value. what do you do next?
The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.
So, when we compared the obtained value with the critical value then after that Reject the null hypothesis if the obtained value is more extreme than the critical value.
and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
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Each small square in the graph paper represents 1 square unit. Find the area of each figure. Explain your reasoning.
A
B
W
the firstone is 9 the seconf one is 14
Answer:
A. 7.5
B. 10
Step-by-step explanation:
The first one is 3x2 + half of 3x1 for 6 + 0.5*3 total.
The second one is 3x2 + 4 times half a 2x1 for 6 + 4 * 0.5 * 2 = 10
Go step by step to reduce the radical.
√216
Answer: 6√6
Step-by-step explanation:
√216=
√(36*6)=6√6
One number is six more than the other number . thesum of their squares is 90
Answer:
the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.
Find the midpoint of the given line segment with the given endpoints
(5,1) and (4, -4)
Answer:
Step-by-step explanation:
(5 + 4)/2 = 9/2
(1 - 4)/2= -3/2
Two model cars race in a straight line. The distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t^2 + 22t - 1, where t is the time in seconds since the start of the race. The distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t^2 + 25t.
Write a model for the difference in feet between car A and car B.
What is the difference in feet between car A and car B after 10 seconds? How can you tell which car is in the lead?
a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. The difference in feet between car A and car B after 10 seconds is 4 feet
c. To tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.a. Write a model for the difference in feet between car A and car B.Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.
Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.
The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.
So, d(t) = f(t) - g(t)
= 0.25t² + 22t - 1 - ( -0.1t² + 25t)
= 0.25t² + 22t - 1 + 0.1t² - 25t
= 0.35t² - 3t - 1
So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.
b. What is the difference in feet between car A and car B after 10 seconds?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1.
To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).
So, d(t) = 0.35t² - 3t - 1.
d(10) = 0.35(10)² - 3(10) - 1
= 0.35(100) - 30 - 1
= 35 - 31
= 4 feet
So, the difference in feet between car A and car B after 10 seconds is 4 feet
c. How can you tell which car is in the lead?Since the difference in distance in feet between car A and car B is d(t) = 0.35t² - 3t - 1
= f(t) - g(t)
Since
f(t) = distance of car A and g(t) = distance of car B.So, to tell which car is in the lead,
If d(t) > 0, car A is in the lead but if d(t) < 0 car B is in the lead.Learn more about difference in distance in feet here:
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A bus covers a distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr find the average speed of the bus and draw a graph for this.
A Average speed distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr = 14.61 km/hr
Given:
Average speed=Total distance /Total time
60 km in 1 hr,
56km in 2hr ,
70km in 3hr,
50km in 4hr,
65km in 5 hr,
60 km in 6 hr
Average speed=207/21=14.61
The average speed of a body is the mean value of its speed across time. The formula for average speed is required since the speed of a moving body is not constant and fluctuates over time. Even with changing speed, the values of total time and total distance traversed may be employed, and we can get a single number to describe the complete motion using the average speed calculation.
A body's average speed is equal to the overall distance traveled divided by the entire time spent. The average speed formula is as follows:
Formula for Average Speed:
Average Speed = Total Distance Traveled / Time Spent
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Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
11 The function f(x) is graphed on the set of axes
below. On the same set of axes, graph f(x + 1) +2.
Answer:
Step-by-step explanation:
your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2
7 1/2 - 3 5/6 im not sure
Answer:
11/3 or 3 2/3
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
What is the range for the set of scores: 7, 8, 11, 15, 17, 20?
a. 20
b. 1
c. 13
d. 7
The range of the set of scores is 13.
Here,
The set of scores:
7, 8, 11, 15, 17, 20
We have to find the range of the set of scores.
What is Range of set?
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.
Now,
The highest number = 20
The lowest number = 7
Hence, Range of the data set = 20 - 7 = 13
So, The range of the set of scores is 13.
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In a recent year, 17.3% of all registered doctors were female. If there were 41,400 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answer: 239,306 total registered doctors
Step-by-step explanation:
1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).
[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]
2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).
[tex]41400*100 = 17.3x[/tex]
3. Simplify
Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal[tex]414*10^{4} = 17.3x[/tex]Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).[tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]
After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.Find the coordinates of the point 3/10 of the way from A to B.
The coordinates of the point 3/10 of the way between A and B are (-19/15, 1/5).
What is defined as the section formula?The Section formula is used in coordinate geometry to find the ratio of a line segment divided by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle.Let P be the point that is 3/10 of a way from A to B. This means that it divides P in the ratio 3:10 = AP/PB = 3/10.
To find the coordinates, use the internal division formula, which is given as:
x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
Where,
(x₁, y₁) = A(-3, -5)
(x₂, y₂) = B(12, 4)
m = 3 and n = 10.
Substitute the values to find the x and y coordinates of point P.
y = (3×4 + 10(-5))/(3 +10)
On solving;
y = -19/15
Solve for x coordinates;
y = (3(12) + 10(-3)/(3 +10)
on solving;
y = 1/5
Therefore, the coordinates of the point 3/10 a way from A and B is (-19/15, 1/5).
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Round 9.7 to the nearest whole number.
Answer:
10
Step-by-step explanation:
If the decimal is .5 or above, round up to the next whole number. If the decimal is below .5, round down to the last whole number. Because .7 is greater than .5, we round up to 10.
Answer:
10
Step-by-step explanation:
In rounding, we look at the digit one place to the right of what we are rounding to. If that digit that is one place to the right is 5 or greater, we increase our digit by one. If that digit that is one place to the right is 4 or less, we leave our digit as it is.
