If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet
Given,
The expression of distance in feet that an object falls = [tex]16t^{2}[/tex]
Where t is the time seconds
Then the time = 0.25 second
Substitute the values in the expression = [tex]16(0.25)^{2}[/tex]
=1 feet
Hence, If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet
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x+1/7y=4 y=3x-2 how do you find x and y
The values for the variables 'x' and 'y' are (3,7).
According to the question, to calculate the value of 'x' and 'y' then equate both the equations.
The given expressions are:
Equation (1): x + (1/7)y = 4 ⇒ 7x + y = 28
Equation (2): y = 3x - 2
Solving equation (1) and equation (2) by substituting the value of the 'y':
Therefore, 7x + 3x - 2 = 28 ⇒ 10x = 30 ⇒ x = 3
Now: y = 3(3) - 2 = 7
Hence, the values are: x = 3 and y = 7.
What is simplification?
Simplification of an expression can be defined as by making the complicated expression as less complicated. And through this method, it become easy to solve it and find the correct answer.
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Determine if each function is a vertical stretch or vertical compression of the parent function y=|x| .
y= 3/2|x|
Vertically Stretching and Compressing
Multiplying a function by positive constant yields a function whose graph is vertically stretched or compressed relative to the original function's graph. If the constant is greater than 1, it will stretch vertically. If the constant is between 0 and 1, vertical compression is done. You get vertical compression.
Vertical compression occurs when you multiply the function by a rational scaling factor. The base of the function graph remains the same even when the graph is compressed vertically. Only initial values are affected.
Reflect across the x-axis Vertically stretch a factor of 3/2
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Determine whether each number is a solution of the inequality below.
Please help determine whether A, B and C (at the top) is a solution.
Answer: yes it is a solution
i think i know it but i’m not sure
Answer: (3, 5]
Step-by-step explanation:
3w-3<=12 and 2w-1>5
3w-3+3<=12+3 and 2w-1+1>5+1
3w<=15 and 2w>6
3w/3<=15/3 and 2w/2>6/2
w<=5 and w>3
3<w<=5 ==> (3, 5]
Parentheses are notated for non-inclusion(3 isn't included in the solution) and brackets are notated for inclusion(5 is included in the solution).
Some people think that the Spaceship Earth geosphere at Epcot in Disney World in Orlando, Florida, resembles a golf ball. The building is a sphere measuring 165 feet in diameter. A typical golf ball has a diameter of approximately 1.5 inches.
d. What is the ratio of the volumes of Spaceship Earth to a golf ball?
The ratio of the volumes of the Spaceship Earth to a golf ball = 1926949795 : 1
We need to find the volumes of the Spaceship Earth and a golf ball.
Spaceship Earth
Radius, R = 165/2 ft = 82.5 ft
Volume of the Spaceship Earth = [tex]\frac{4\pi R^3}{3}[/tex] = (4 x 3.14 x 561515.625)/3
= 2350878.75 cubic ft.
A golf ball
Radius = 1.5/2 inches = 0.75 inches
1 ft = 12 inches
So 0.75 inches = 0.75/12 = 0.0625 ft.
So radius, r = 0.0625 ft
Volume of a golf ball = [tex]\frac{4\pi r^3}{3}[/tex] = (4 x 3.14 x [tex]0.0625^3[/tex])/3
= 0.00122 cubic ft.
Ratio of the volumes of Spaceship Earth to a golf ball
= 2350878.75:0.00122
= 1926949795 : 1
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Simplify.
√6 / √3 . √8 / √3
The simplified value of the given expression is √6√8 / 3.
What is rationalization?Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(√6 / √3) (√8 / √3) we have a common denominator.
√6 √8/(√3)²
√6√8 / 3 is the result.
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PLEASE HELP
ALSO DO THE CHECK UR BOX WORK AND SHOW ME
What is the sum of each finite series?
b. Σ ⁴ n=1 n³
The sum of the given finite series is 100
The summation notation tells us how to sum each term in a series.
Example:
[tex]\sum\limits^5_{n=1} {3n+1}[/tex]
means we need to evaluate the sum of (3n+1) as n moves from 1 to 5. Here 1 is the lower limit, while 5 is the upper limit.
The given series is:
[tex]\sum\limits^4_{n=1} {n^{3}}[/tex]
Expand this series:
[tex]\sum\limits^4_{n=1} {n^{3}}=1^{3}+2^{3}+3^{3}+4^{3}[/tex]
1³ = 1
2³ = 8
3³ = 27
4³ = 64
Hence,
1³ + 2³ + 3³ + 4³ = 1 + 8 + 27 + 64 = 100
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The standard normal probability density function is a bell-shaped curve that can be represented as?
The standard normal probability density function is represented by its formula, 1 /σ√2π(e^(-z²/2))
What is standard normal variate?
A standard normal variate is defined as a variate whose mean is equal to 0, i.e. µ=0 and standard deviation is equal to 1, σ =1. Its probability density function is given by:
f(x) = 1/√2π(e^(-z²/2))
Explanation
The standard normal probability density function is a bell-shaped curve that can be represented by using the given formula:
1 /σ√2π(e^(-z²/2))
Hence, the standard normal probability density function is represented by using its formula..
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Please help very important!
A large cheese pizza costs $11.45. A premium
topping on the large pizza costs $2.75, while a
standard topping on the large pizza costs
$1.75. Beverly orders a large cheese pizza
with 3 premium toppings and 4 standard
toppings. How much will the pizza cost?
What is 6(2a-3)-2a=7(a-1)+3a
answer:
this is the solution
word problem :
answers: 10 plants, 18 plants, 14 plants, and 7 plants
Answer:
10
Step-by-step explanation:
10 because there is 40 squares
40/4=10
A certain species of fish costs $3.49 each. You can spend at most $30: How many of this type of fish can you buy for your aquarium?
does someone mind helping me with this question? Thank you!
Answer:
84 Meters^3
Step-by-step explanation:
Since this is a three dimensional object, you need to have an exponent of 3
A student walked 100 meters north, then 100 meters west. How many more meters did the student walk compared to their total displacement from their starting point?.
Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
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How do I solve this equation 10=-9-x
Answer:
Step-by-step explanation: 10=-9-x > add 9 to 10 > 19=-x> divide 19 by -x> x=-19
A(1,7), B(1,2), and C(5,2) area
Solve each equation or inequality.
2-3 x<11
After solving the equation, x < -3 is the value of inequality 2-3 x<11
⇒ 2-3x < 11
⇒ -3x < 11 - 2
⇒ -3x < 9
⇒ x < -9/3
⇒ x < -3
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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Christopher is the oldest of three siblings whose ages are consecutive odd integers. If the sum of their ages is 63, find Christopher's age.
Answer: 50
Step-by-step explanation: because
100 POINTS + BRAINLEIST ANSWER ASAP
Answer:
Ori's definition = incorrect
Daniella's definition = hip , hip hurray!!!
Kaori's definition= part of your definition is correct , but other part is
Answer:
daniel: second one
ori: third one
kaori: first one
Step-by-step explanation:
Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=3, b=-7
Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m=3, b=-7
How to write the equation in slope-intercept form?
Given:
m=3(slope)
b=-7(y -intercept)
The slope-intercept form is given by,
y=mx+b
y=3x-7
Thus, y=3x-7 is the slope-intercept form.
How to rewrite the equation in standard form?
Standard form is given by,
Ax+By=C
Since, slope-intercept form is y=3x-7
⇒3x-y=7
Thus,3x-y = 7 is the standard form.
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36. Where's the bus? Sally takes the same bus to work every morning. The amount of
time (in minutes) that she has to wait for the bus to arrive is described by the
uniform distribution below.
0
10
1
Height =
10
(a) Explain why this curve satisfies the two requirements for a density curve.
(b) On what percent of days does Sally have to wait more than 8 minutes for
the bus?
(c) On what percent of days does Sally wait between 2.5 and 5.3 minutes for
the bus?
According to the question, every morning Sally takes same bus and she has to wait to arrive with the used method called as uniform distribution.
And the range of the interval is as: min = 0 and max = 10.
For the calculation of the uniform distribution, the height some be constant.
Now, using standard uniform distribution formula:
Mathematically, the function f(x) can be written as:
f(x) = 1/(b - a)
where, 'a' and 'b' are defined intervals. Here, a = 0; b = 10.
Now, to calculate the percentage form the area as a rectangular grid which means:
f(x) = 1/10(5.3 - 2.5) = 2.8/10 = 0.28 = 28 percent.
Now, to know the percentile using above data:
f(x) = 1/(b - a) = 7/10 = 0.7 = 70 percent.
What is uniform distribution?
The uniform distribution is also called as density function which the nature of the two or more than two function should be equal or same.
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Determine whether the given conclusion is based on inductive or deductive reasoning.
If Beth turns in her report early, she receives extra credit. Beth turned in her report early. She concludes that she will receive extra credit.
The given conclusion is deductive reasoning.
What are Inductive reasoning and Deductive Reasoning?Inductive reasoning is a bottom-up technique, whereas deductive reasoning is a top-down approach. Inductive thinking proceeds from the particular to the universal, whereas deductive reasoning proceeds from general premises to specific conclusions.
Given the statements; If Beth turns in her report early, she receives extra credit.
Beth turned in her report early.
She concludes that she will receive extra credit.
From the sentences, the first sentence is a general statement, the second statement is a specific statement. And, the third statement is a conclusion statement.
Therefore, the given conclusion is deductive reasoning.
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B
Find AB in AABC.
Round to the nearest tenth.
65°
81°
C
A
10
Answer:
(10 *sin(81))/sin(34)=17.66>>>17.7
Wayne bought ______ ounces of blueberries.
Wayne bought 72 ounces of blueberries.
How many ounces did he buy?
A fraction is a non-integer that is made up of a numerator that is divided by a line from the denominator. An example of a fraction is 1/2. 1 is the numerator and 2 is the denominator.
The first step is to determine the total fraction of blueberries that was used.
[tex]\frac{3}{8} + \frac{1}{6} + \frac{5}{12}[/tex]
[tex]\frac{27 + 12 + 30}{72}[/tex] = [tex]\frac{69}{72}[/tex]
Ounces of blueberries he bought = (ounces used ÷ fraction of blueberries used)
69 ÷ [tex]\frac{69}{72}[/tex]
69 x 72/69 = 72 ounces
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5/25, 25%, and 0.3 ordered least to greatest
Answer:5/25,25, 0.3
Step-by-step explanation:
Answer:
5/25 , 25% , 0.3
Step-by-step explanation:
first let's change everything into decimals
0.3 is already a decimal
25% can be changed into 0.25
5/25 can be changed into a percentage first like 25%
so:
[tex]\frac{5}{25}[/tex] × [tex]\frac{4}{4}[/tex] (you multiply both sides by 4 because you need to have the denominator as a 100 and 25 x 4 = 100)
[tex]\frac{5}{25}[/tex] × [tex]\frac{4}{4}[/tex] = [tex]\frac{20}{100}[/tex]
this means that the percentage is 20% now lets change that into a decimal like we did with 25% earlier:
20% = 0.20
we can then order everything from least to greatest:
0.20 , 0.25 , 0.3
or
5/25 , 25% , 0.3
Alexa has 38 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 140 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions ( width and length) plot of land are 9.5 m and 19 m.
What is defined as the rectangle?A rectangle is a confined two-dimensional structure with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel.
Area of a rectangle
area of rectangle = l×w
where, l = length and w = width.
Thus, the perimeter for 2 side of width and 1 side of length is;
perimeter = 2w+ l
Perimeter of river = 38 m.
38 = 2w + l
l = 38 - 2w
Hence, Put the value of l in the area.
area = w(38 - 2w)
The area of the land is 140 sq.m.
140 = 38w - 2w²
-2w² + 38w - 140 = 0
-w² + 19w - 70 = 0
The equation is in the form of quadratic. Thus use the relation of coefficients and the roots to evaluate the width.
w = - b / a
Comparing the coefficients;
where,
a = -1
b = 19
w = - 19 / 2( -1)
w = 9.5 meters
Then,
l = 38 - 2w
l = 38 - 2(9.5)
l = 19 meters
Therefore, the dimensions of the plot of land are 9.5 meters and 19 meters.
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Answers please help me
Answer:
Rita: r - 5= 2c, or r - 5= 2(36), or r - 5 = 72
Cora: (r - 5)/2 = 36
Step-by-step explanation:
Rita had r apps (let r = Rita original apps)She deleted 5 of them so r-5 She now has twice the number of apps as Cora so r-5 = 2c (let c = Cora's total apps) Cora's total apps are 36 so Rita's equation is r-5= 2(36) which means Rita equation for her number of apps is r-5= 72. As for Cora her equation is c= 36 but in relation to Rita's number of apps it's (r-5)/2 = 3612. Let f(x)= -8x+5. Find f(1/2)
13. Let g(x) = -x^2+5x+2. Find and simplify g(-3)
14. Let f(x) = -5x+6. Find and simplify f(x+3)
f(x+3) =
