Answer:
0.8
Step-by-step explanation:
[tex]\frac{16}{20} =\frac{4(4)}{4(5)}=\frac{4}{5}=0.8[/tex]
Answer: 0.8
Step-by-step explanation:
16/20=4/5, which is the equivalent to 0.8
How much bigger is 5 x 10^4 than 4 x 10^4
Answer:its 10,00 more than it so one
Step-by-step explanation:
10^4=10,000
10,000x4=40,000
10000x5=50,000
Answer:
1 × 10^4
Step-by-step explanation:
5 × 10 ^ 4 = 5 × 10000
= 50,000
4 × 10 ^ 4 = 4 × 10000
= 40,000
Therefore; 50,000 - 40,000
= 10,000 or 1 × 10 ^ 4
Hence 5 × 10^4 is bigger than 4 ×10^4 by
1 × 10^4
The average rate of change from 3 seconds to 7 seconds for EACH?
PLEASE HELP HURRY
SLOPE
GOLF BALL
SECONDS METERS
0 0
3 14
7 32
9 24
12 2
BASEBALL
SECONDS METERS
0 0
3 6
7 15
9 13
12 0
Answer:
Golf ball = 4.5, Baseball = 2.25Step-by-step explanation:
The average rate of change between two points is the slope of the line between those points.
Golf ballThe points are:
(3, 14) and (7, 32)The slope is:
m = (32 - 14)/(7 - 3) = 18/4 = 4.5BaseballThe points are:
(3, 6) and (7, 15)The slope is:
m = (15 - 6)/(7 - 3) = 9/4 = 2.25Answer:
[tex]\textsf{Average rate of change of the golf ball}=\dfrac{9}{2}\; \sf m/s[/tex]
[tex]\textsf{Average rate of change of the baseball}=\dfrac{9}{4}\; \sf m/s[/tex]
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\boxed{\dfrac{f(b)-f(a)}{b-a}}[/tex]
To find the average rate of change from 3 to 7 seconds:
a = 3b = 7Therefore, use the formula:
[tex]\implies \dfrac{f(7)-f(3)}{7-3}[/tex]
Golf Ball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&14\\\cline{1-2} 7&32\\\cline{1-2} 9&24\\\cline{1-2} 12&2\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
f(3) = 14f(7) = 32Substitute these values into the formula to find the average rate of change of the golf ball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{32-14}{7-3}=\dfrac{9}{2}\; \sf m/s[/tex]
Baseball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&6\\\cline{1-2} 7&15\\\cline{1-2} 9&13\\\cline{1-2} 12&0\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
f(3) = 6f(7) = 15Substitute these values into the formula to find the average rate of change of the baseball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{15-6}{7-3}=\dfrac{9}{4}\; \sf m/s[/tex]
Solve the given initial value problem
y''-4y'-5y = 0, y(1) = 0, y'(1) = 2
The solution to the initial value problem in this problem is given as follows:
[tex]y = 0.0022e^{5x} - 0.8853e^{-x}[/tex]
How to solve the initial value problem?The initial value problem is given as follows:
y''-4y'-5y = 0.
The first step is finding the roots of the characteristic equation, which is given as follows:
r² - 4r - 5.
The equation can be factored as follows:
r² - 4r - 5 = (r - 5)(r + 1).
Applying the inverse Factor Theorem, the roots are given as follows:
r - 5 = 0 -> r = 5.r + 1 = 0 -> r = -1.These roots are real, hence the format of the solution is given as follows:
[tex]y = Ae^{5x} + Be^{-x}[/tex]
Considering the initial condition at x = 1, we have that:
Ae^(5) + Be^(-1) = 0
Considering the initial condition of the derivative at x = 1, we have that:
5Ae^(5) - Be^(-1) = 2.
Adding the two equations, the condition A is obtained as follows:
6Ae^(5) = 2.
A = 2/(6e^5)
A = 0.0022.
Hence the condition B is:
B = -0.0022e^(5)/e^(-1)
B = -0.8853.
Hence the solution is:
[tex]y = 0.0022e^{5x} - 0.8853e^{-x}[/tex]
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Neha got 68% in a Nepali test. How many marks out of 25 is this? How many marks out of 25 did she get in English if her percentage of marks was 72?
Answer:
Nepali=17 English=18
Step-by-step explanation:
first in Nepali,
Marks= 68% of 25=68/100*25=17Likewise,in English,marks=72%of25=72/100*25=18the price of an item has been reduced by $6.14. the new price is $73.59. what was the original price?
Answer:
79.73
Step-by-step explanation:
Answer:79.73
Step-by-step explanation: because if you take 6.14 and add it to 73.59 you get 79.73
A coastline has receded 450 centimeters in 9 years. Each year, the coastline recedes the same distance. One meter is equal to 100 centimeters. How far does the coastline recede each year, in meters?
We need to determine the length per year, so take the ratio of 450/9 and simplify it.
r = 450cm/9yr
r = 50cm/1yr
r = 50cm
50cm/100cm = 1/2
So, the coastline recedes 1/2 meters every year.
Answer:0.50 meters
Step-by-step explanation:
Part 2: The xy-Plane
Use these two graphs to answer questions 4 and 5.
4. Do these graphs represent functions? Explain.
Answer:
Answer and explanation in image
Step-by-step explanation:
33) A recipe for pancakes calls for 9 cups of
milk. Nicole has already put in 3 cups.
How many more cups does she need to put
in?
For a project in his Geometry class, Anand uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 14.75 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.3 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.45 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
The height of the goalpost is 16.45 m.
Given, Anand uses a mirror on the ground to measure the height of his school’s football goalpost.
He walks a distance of 14.75 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center.
He then steps 1.3 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X.
His partner measures the distance from his eyes to the ground to be 1.45 meters.
we are asked to determine the height of the goalpost = ?
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
AB/ED = CB/CD
1.45/ED = 1.3/14.75
ED = 14.75×1.45/1.3
ED = 16.45 m
Hence the height of the goal post is 16.45 m
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A(1,3), B(2, 1) and C(5, 3) are points on a coordinate grid.
Show that the line segments AB and BC are perpendicular.
Input note: find the gradient of AB and the gradient of BC.
As gradients multiplied we get [tex]\frac{-4}{3}[/tex] the line segments AB and BC are not perpendicular
How to find lines are perpendicular?
Perpendicular lines are those that cross at a right angle when two non-vertical lines in the same plane. Vertical and horizontal lines, or the axes of the coordinate plane, are perpendicular to one another. Two parallel lines' slopes have negative reciprocal slopes.
To find whether the line segments are perpendicular we have to first find the gradient of AB and BC
Finding the gradient of AB
A(1,3) and B(2,1)
[tex]m_{AB}[/tex]=(1-3)/(2-1)
= [tex]\frac{-2}{1}[/tex]
=-2
Finding the gradient of BC
B(2,1) and C(5,3)
[tex]m_{BC}[/tex]=(3-1)/(5-2)
=[tex]\frac{2}{3}[/tex]
When we multiply the two gradients if we get -1 then the two line segments are perpendicular.
[tex]m_{AB}X m_{BC} = -2X\frac{2}{3}[/tex]
= [tex]\frac{-4}{3}[/tex]
As the gradient is not equal to -1 the line segments AB and BC are not perpendicular
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three means between 2 and 512
The three geometric mean between 2 and 512 are
When r = 4 , 8,32, 128When r = -4, -8, 32, -128The first term = 2
Consider the common ratio as r
Then the second term = 2r
The third term = [tex]2r^2[/tex]
The fourth term is = [tex]2r^3[/tex]
The fifth term is given that 512
The fifth term = [tex]2r^4[/tex]
Then the equation will be
[tex]2r^4[/tex] = 512
[tex]r^4[/tex] = 512 / 2
[tex]r^4[/tex] = 256
r = ±4
When r = 4
The three geometric mean between 2 and 512 are
2r = 2×4 = 8
[tex]2r^2[/tex] = 2×4×4 = 32
[tex]2r^3[/tex] = 2×4×4×4 = 128
When r = -4
The three geometric mean between 2 and 512 are
2r = 2×-4 = -8
[tex]2r^2[/tex] = 2×-4×-4 = 32
[tex]2r^3[/tex] = 2×-4×-4×-4 = -128
Hence, the three geometric mean between 2 and 512 are
When r = 4 , 8,32, 128When r = -4, -8, 32, -128The complete question is :
Find the three geometric means between 2 and 512.
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Hey can someone please help me out on this question and explain?It’s below. Thanks so much I appreciate it:) I’ll give brainly
Answer:
153.86
Step-by-step explanation:
to get the area of the circle you take the radius to the power of 2 and then multiply with π
when the radius of circle S is half the radius of circle L and circle L has radius 14 inch, then the radius of S is 7.
area = radius² * π = 7² * π = 49 * π
π is approximately 3.14
so 49*3.14 = 153.86
Under a 750:1 magnification microscope, a paramecium has a length of
19 mm. What is the actual length of the paramecium?
Using the scale size, the actual length of the paramecium is 0.253.
In the given question we have to find the actual length of the paramecium.
Under a 750:1 magnification microscope, a paramecium has a length of
19 mm.
Using the microscope length of paramecium = 19 mm
Magnification microscope = 750:1
So the actual length of paramecium = microscope length of paramecium× scale size
The actual length of paramecium = 19× 1/750
The actual length of paramecium = 19/750
The actual length of paramecium = 0.253
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PLEASE HELPP!!!!! A number line going from negative 20 to positive 20. What is the absolute value of –20? Use the number line to answer the question. –20 0 20 40
Answer:
C) 20
Step-by-step explanation:
The absolute value of -20 is 20, because absolute value just keeps the same number, but makes positive.
Hope this helped!
The Body for Life gym charges $15 a month membership fee and a $2 per day usage fee. What does the ordered pair (13, 41) mean?
The ordered pair (13, 41) simply means a daily usage fee of $41 would be charged to use the Body for Life gym for 13 days.
How to calculate the slope-intercept form of the equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x represents the number of days.y represents the daily usage fee.c represents the y-intercept.Based on the information provided, a linear equation which models the situation is given by:
y = 2x + 15
For the ordered pair (13, 41), we have:
y = 2x + 15
y = 2(13) + 15
y = 26 + 15
y = $41.
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How much should be deposited in an account paying 4.5% interest, compounded semiannually, in order to have a balance of $ 5,000 after 19 years and 6 months?
*Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.*
Principal ≈ $ ____________
The suitable for blank is 2099.43 approximately.
Let the principle be P.
Time (t) = 19 years and 6 months = 19.5 years
Compound is semiannually.
Rate of Interest (r) = 4.5%
Amount will be (A) = $5000
So, suitable equation is given by,
[tex]A=P\left(1+\frac{r}{200}\right)^2t\\5000=P\left(1+\frac{4.5}{200}\right)^{2\times19.5}=P\left(1+\frac{9}{400}\right)^{39}\\\\P\approx2099.43[/tex]
Hence the suitable for the blank is 2099.43.
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does a low outlier cause the mean to be lower than the median?
pretty sure it does just making sure :)
Answer:
yesss
Step-by-step explanation:
What is the value of the
underlined digit?
5,678.321 6# ñame
The value of the underlined digit is 600.
What is the place value strategy?
The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.
We must determine the values of each integer in order to calculate the value of the underlined digit (6) in the equation.
In 5,678.321, the first digit, 5, is 1,000 in the thousands of places.
The second digit, 6, is in the hundreds (100) place.
So the value is 600.
Hence the answer is, the value of the underlined digit is 600.
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Solve for x. 12x +7< -11 or 5x-8>40
The solution of the inequalities is x < - 3 / 2 or x > 48 / 5
How to solve inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Inequality expression always have the symbols <, >, ≤ and ≥.
Therefore, let's solve the inequalities.
12x + 7 < - 11 or 5x - 8 > 40
12x + 7 < - 11
subtract 7 from both sides of the inequalities.
12x + 7 - 7 < - 11 - 7
12x < - 18
divide both sides by 12
x < - 18 / 12
x < - 3 / 2
5x - 8 > 40
add 8 to both sides of the inequalities
5x - 8 + 8 > 40 + 8
5x > 48
divide both sides by 5
x > 48 / 5
x > 48 / 5
Therefore,
x < - 3 / 2 or x > 48 / 5
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A line passes through the points (14, 9) and (7, 3). What is its equation in slope-intercept form?
Answer:
solve 9 = -6/-7(14) + b this is not the answer but when you solve it that will be your answer
Step-by-step explanation:
m = y2 - y1 y = mx + b
x2 - x1 9 = -6/-7(14) + b
m = 3 - 9
7 - 14
3 - 9 = -6
7 - 14 = -7
m = -6/-7
Alton estimated that 240 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
8%
17%
20%
40%
it's not 17% so
A technician working for the Chase-National Food Additive Company would like to estimate the preserving ability of a new additive. This additive will be used for Auntie’s brand preserves. Based on past tests, it is believed that the time to spoilage for this additive has a standard deviation of 5 days. To be 99% confident of the true mean time to spoilage, what sample size will be needed to estimate the mean time to spoilage with an accuracy of one day?
The sample size will be needed to estimate the mean time to spoilage with an accuracy of one day is 166
What is the sample size?The formula for the margin of error is given as
[tex]E = Z*\frac{sd}{\sqrt{n} }[/tex]
The standard deviation is given as sd = 5 days
We have to find the critical value of Z at the confidence level of 99 %
This value is given as 2.576
E = 1 day because the accuracy has been said to be within one day.
We have to insert the values in the formula that we have here
[tex]1 = 2.576*\frac{5}{\sqrt{n} }[/tex]
√n = 12.88
square both sides to get rid of the square root sign
n = 12.88²
n = 165.89
n ~ 166
The sample size would be 166
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can you solve the question that is showed below
5x5=9+3
The value of x is 1.1913
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
5[tex]x^5[/tex] = 9+3
5[tex]x^5[/tex] =12
[tex]x^5[/tex]=12/5
Take 5th root on both sides
[tex]x=\sqrt[^5]{12/5}[/tex]
x= 1.1913
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i’ll mark brainliest!! helppp
Answer:
T
Step-by-step explanation:
Answer:
T
Step-by-step explanation:
T because it is the same position and Q therefore being congruent to each other, a way visualize it is to flip it and aline the lines together and see which one is the same angle as Q.
Let f(x-3) = x2- 2x+ 7, find f(-1)
For given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10
For given function f(x-3) = x^2- 2x+ 7 we need to find the value of f(-1)
i.e., we get an equation,
x - 3 = -1
x = -1 + 3
x = 2
Substitute x = 2 in given function,
f(-1) = (-1)^2- 2(-1) + 7
f(-1) = 1 - (-2) + 7
f(-1) = 1 + 2 + 7
f(-1) = 10
Therefore, for given function f(x-3) = x^2- 2x+ 7, the value of f(-1) is 10
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume days in a year.
P = 7000$, r = 7.5%, t =15 months
Answer:
$656.25
Step-by-step explanation:
The formula for simple interest is:
[tex]A=Prt[/tex]
Where A is the final amount, P is the principal, r is the rate, and t is the time in years.
The question does not specify whether the interest rate is annual or not, but I will assume it is! To convert 15 months to years, divide it by 12 months!
[tex]\frac{15}{12}=\frac{5}{4}=1.25[/tex]
I also need the percent to be a decimal. To convert a percent to a decimal, divide by 100.
[tex]7.5/100 = 0.075[/tex]
Now, plug the values into the formula!
[tex]A=7000*0.075*1.25\\A=656.25[/tex]
The total amount after 15 months is $656.25
Geometry gina Wilson help plsss
Answer: m<BCA = 57°
Step-by-step explanation:
180-(10x-37)°
180-(10x(16)-37)°
180-123
57°
Watch help video
What are the coordinates of the point on the directed line segment from (-10, 2) to
(-3,-5) that partitions the segment into a ratio of 4 to 3?
The coordinates of the point on the directed line segment from (-10, 2) to (-3,-5) that partitions the segment into a ratio of 4 to 3 is (-6,-2).
Given:
we have two points :
(-10, 2) to (-3,-5)
and the ratio which partitions the segment is:
4:3
we are asked to determine the coordinates of the point.
Let the given points (-10,2) be (x₁, y₁) and (-3,-5) be (x₂, y₂) and the ratio be m:n.
Using section formula to find the coordinates:
x = (mx₂ + nx₁)/(m+n)
= {4(-3) + 3(-10)} /(4+3)
= -12-30/7
= -42/7
= -6
y = (my₂ + ny₁)/(m+n)
= {4(-5) + 3(2)} / (4+3)
= -20+6/7
= -14/7
= -2
Therefore, the required point is (-6,-2)
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A radio station has $400 to give away for a contest it gives away $50 prize each week. The equation y=400-50x represents the amount y the radio station has left to give away after x weeks. Find the x and y intercepts and interpret their meaning in the context of the situation
The y-intercept is (0, 400), which represents the amount of money the radio station originally had. The x-intercept is (8, 0), which represents the number of weeks it will take for the radio station to have $0 left.
How to find the x and y intercepts?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Similarly, the x-intercept can be defined as the point at which the graph of any function crosses the x-coordinate and the value of "y" is equal to zero (0).
For the y-intercept, x = 0 and we have the following:
y = 400 - 50x
y = 400 - 50(0)
y = 400.
For the x-intercept, y = 0 and we have the following:
y = 400 - 50x
0 = 400 - 50x
50x = 400
x = 400/50
x = 8.
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Word problem 2: Paula wants to divide 480 tomatoes equally among 40 baskets. How man
will Paula put in each basked?
Answer:
12
Step-by-step explanation:
480 tomatoes/40 baskets = 12 per basket