Based on the number of steps it took Shawn to get home from outside the basketball court, the number of steps needed for 8 one-way trips is 3,432 steps
How to find the number of steps?Each trip that Shawn takes from outside the basketball court to his house, and from his house to outside the basketball court, will take 429 steps.
If Shawn then takes 8 one - way trips, the number of steps till he gets either home or the basketball courts is:
= Number of steps per trip x Number of trips
= 429 x 8
= 3,432 steps
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Use the given information to answer the question. The distance s that an object falls varies directly with the square of the time, t , of the fall. If an object falls 16 feet in one second, how long will it take for it to fall 48 feet? Round your answer to two decimal places.
The time that it will take for it to fall 48 feet will be ✓3 seconds.
How to illustrate the information?From the information, the distance s that an object falls varies directly with the square of the time, t , of the fall and an object falls 16 feet in one second.
This will be:
s = kt²
s = distance
k = constant
t = time
s = kt²
16 = 1²k
k = 16
Therefore, the time that it will take for it to fall 48 feet will be:
s = kt²
48 = 16t²
t² = 48 / 16
t² = 3
t = ✓3
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Ms jones has a rain barrel shaped like a cylinder in her backyard the barrel is 42in high and it has a diameter of 30 which answer is closet to the number of cubic inches of rain that the barrel can hold
A 30,000
B 120,000
C 100,000
D 40,000
The answer closest to the number of cubic inches of rain that the barrel can hold is 30,000. Option A
How to determine the valueIt is important to note that the formula for determining the volume of a cylinder is expressed as;
Volume = πr²h
Where;
The value of pi = 3. 14r is the radius of the cylinderh is the height of the cylinderAlso note that the formula for diameter is given as;
Diameter = 2 radius
Now, substitute the value of diameter
30 = 2r
Make 'r' the subject of formula
r = 15in
Substitute the values into the formula
Volume = 3. 14(15)²(42)
expand the bracket
Volume = 29, 673 cubic inches
Volume = 30, 000 cubic inches
Hence, the value is 30, 000 cubic inches
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I could use some help solving these two problems if possible. Thank you.
Solution:
iven the figure below:
Where
[tex]\begin{gathered} S\Rightarrow satellite \\ B\Rightarrow Bora-Bora \\ G\Rightarrow Greenland \\ R\Rightarrow Rapa\text{ Nui} \\ H\Rightarrow St.\text{ Helen} \end{gathered}[/tex]Using the secant-secant theorem expressed as
[tex]SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ ----- equation 1}[/tex]Given that th e satellite signal reaches Bora-Bora at 38,000 km and Greenland which is an additional 20,000km, this implies that
[tex]\begin{gathered} SB=38000 \\ BG=20000 \end{gathered}[/tex]If the distance from the satellite to Rapa Nui is 45,000 km, this implies that
[tex]SR=45000[/tex]The total distance from the satelite to St. Helen is expressed as
[tex]SH=SR+RH\text{ ----- equation 2}[/tex]From equation 1,
[tex]\begin{gathered} \begin{equation*} SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ } \end{equation*} \\ substitute\text{ equation 2 into equation 1} \\ thus,\text{ we have} \\ SB\left(SB+BG\right)=SR\left(SH\right)\text{ ---- equation 3} \end{gathered}[/tex]Substituting the values, we have
[tex]\begin{gathered} 38000\left(38000+20000\right)=45000\left(SH\right) \\ \Rightarrow38000\times58000=45000\left(SH\right) \end{gathered}[/tex]divide both sides by 45000,
[tex]\begin{gathered} SH=\frac{38000\times58000}{45000} \\ \Rightarrow SH=48977.77777 \end{gathered}[/tex]Hence, the signal will travel a distance of 48977.77777 km from the satellite to St. Helen.
I have failed this question a lot and I don't know what I'm doing wrong,
Find the vertex of:
Answer:
(-2,-7)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex (h,k).
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-15}x^2\stackrel{\stackrel{b}{\downarrow }}{-60}x\stackrel{\stackrel{c}{\downarrow }}{-67} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -60}{2(-15)}~~~~ ,~~~~ -67-\cfrac{ (-60)^2}{4(-15)}\right) \implies \left( - \cfrac{ -60 }{ -30 }~~,~~-67 - \cfrac{ 3600 }{ -60 } \right) \\\\\\ (-2~~,~~-67+60)\implies {\Large \begin{array}{llll} (-2~~,~~-7) \end{array}}[/tex]
Graph the inequality
Pls and thank you not urgent
To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation.
Which four steps are involved in graphing an inequality? Steps1:Always begin by separating the variable y from the inequality's left side.Step 2: Replace the inequality symbol with the equality symbol.Step 3: In the X, Y, XY, XY plane, graph the boundary line from Step 4 :The final step is to shade a portion or one side of the border line.Uneven relationships between two expressions are demonstrated by inequalities. Here are a few instances of inequality: 9 > 7 9 > 7 9 > 7. 6 a + 2 6 underlined a+2 6 < a+2. x < 5 x<5 x<5.To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't include equal to (> or ).To more learn about graphing an inequality refers to :
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Complete the factoring.
x^2 + 8x + 15
Answer:
(x+3) (x+5)
Step-by-step explanation:
1) When factorising a quadratic like this the first step is to put x in front of two brackets:
(x ) (x )
2) Next check if all numbers in your question is positive (+). In this case it is so we put + after both x in bracket.
(x+ ) (x+ )
3) now the last number in your question is 15 so we find all factors of 15:
1 and 15
3 and 5
4) to know which pair of factors to use we look at owr second number in the question which is 8x. The factors that add up to 8 is 3 and 5.
Voilà
Let f(x)=x2−12 and g(x)=13−x.
Perform the composition or operation indicated. (fg)(4)
Answer:
The answer would be 36.
Step-by-step explanation:
I linked the steps I used to get this answer in the image, I hope this helps :)
a light flashes every 2 minutes, a second light flashes every 3.5 minutes and a third light flashes every 4 minutes. if all three lights flash together at 8 p.m what is the next time of the day they will all flash together?
Answer:
take the LCM of the three numbers. Since 2 is a multiple of 4, you can ignore the two and just take the LCM of 4 and 3.5. Since 3.5 is a decimal, the LCM is just 3.5*4 which is 14. That is how many minutes after 8:00 they will flash together again.
Step-by-step explanation:
What is 4/5 Times 10/16 in simplist form
Answer: 4/5 × 10/16 = 1/2
Step-by-step explanation:
Multiply the numerators and then multiply the denominators to get: 4/5 * 10/16 = 40/80
Simplify with the GCF (40): 40/80 / 40/40 = 1/2
And that's your simplified answer :)
1. 2 million is ______
thousands.
Answer: 2 million is 2,000 thousands.
Step-by-step explanation:
2,000,000 = 2 million
1,000 = 1 thousand
2,000 thousands = 2 million
a rectangular poster is 3 times as long as it is wide. it has an area of 27 square inches. what is the length and width of the poster
The dimensions of the rectangular poster are:
Width = 3 inches.
Length = 9 inches.
How to Find the Dimensions of a Rectangle?A rectangle usually has a long side called the length, and a shorter side called the width.
The area of the rectangle is calculated by multiplying the length and the width together. Therefore, formula for the area of a rectangle is:
Area = (length)(width).
The rectangular poster has the following parameters:
Let x represent the width of the rectangular poster.
Width of the rectangular poster = x
Length of the rectangular poster = 3x
Area of the rectangular poster = 27 in.².
Plug in the values
(x)(3x) = 27
3x² = 27
Divide both sides by 3
3x²/3 = 27/3 [division property of equality]
x² = 9
Take the square root of both sides
√x² = √9
x = 3
Width of the rectangular poster = x = 3 inches.
Length of the rectangular poster = 3x = 3(3) = 9 inches.
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The sample space S= [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]
Given A = [E1, E3, E6, E9], define Ȃ
Given A = [E1, E3, E7, E9] and B = [E2. E3, E, E9]
a) What is A intersection B?
b) What is the union of A & B?
c) Is the union of A & B collectively exhaustive?
A) The intersection of subsets A and B is; A ∩ B = {E3, E7, E9}
B) The union of subsets A and B is; A ∪ B = {E1, E2, E3, E7, E9}
C) No, the union of A & B is not collectively exhaustive
What is the Union and Intersection of the Sets?
We are given;
Sample space;
S = [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]
A = [E1, E3, E7, E9]
B = [E2. E3, E, E9]
A) Now, the intersection of subsets A and B would be the values that are common to both sets. This gives us;
A ∩ B = {E3, E7, E9}
B) The union of the subsets A and B with be the combination of all terms in both subsets and this gives us;
A ∪ B = {E1, E2, E3, E7, E9}
C) The union of A & B is not collectively exhaustive because it does not contain all the data available in the sample space.
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The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
The water pressure on the submerged object is given by d = P ÷ 64
Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is applied (symbol: p or P).
Gauge pressure, also spelled gage pressure, is the pressure in relation to the surrounding air.Various units are used to express pressure. The pound-force per square inch (psi), which is equivalent to one newton per square meter (N/m2) in the SI, is the standard unit of pressure in the imperial and U.S. customary systems. Some of these results arise from dividing a unit of force by a unit of area.a. The given formula is is P=64d
or , d = P ÷ 64
b. at a pressure of 672
d = 672 ÷ 64
or, d = 10.5 feet
Hence the pressure is 672 pounds per square foot at a depth of 10.5 feet.
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Addition and what are operations you can use to join what
Answer: The correct answer is:
Addition and multiplication are operations you can use to join equal groups.
Step-by-step explanation: Confirmed correct.
3 Find the coordinates of the vertices of each figure after the given transformation
3) reflection across the x-axis
Enter Question Text
A U'(1,3),V'(4,3), W'(5,4),T'(1,4)
B U'(3,1),V'(3,4,), W'(4,5),T'(4,1)
D U'(-1,3),V'(-4,3), W'(-5,4),T'(-1,4)
(3)(4-3);W(Sp-4)T(4)
U
T
X
The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.
Solution:When a point is reflected across the x-axis, the x-coordinate remains unchanged, but the y-coordinate is assumed to be the additive inverse. Point (x, y reflection )'s across the x-axis is (x, -y).the point (x , y)→ (x , -y).In the question given 4 coordinates,
U(1 , -3)
V(4 , -3)
T(1 , -4)
W(5 , -4)
the reflection across x-axis
U(1 , -3) →U' (1, 3)
V(4 , -3) → V'(4 , 3)
T(1 , -4) → T'(1 , 4)
W(5 , -4) → W'(5 , 4)
so after the reflection across the x axis the coordinates of the vertices becomes ,
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)
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13. The table shows the number of each type of seed packet a
garden center had remaining at the end of summer. Bags were
created with 20 random seed packets in each bag. How many
complete bags of seeds can be created?
Seed Type
Aster
Daisy
Pansy
Sunflower
Wildflower
Number of Packets
95
160
70
Answer:24 bags
Step-by-step explanation:
Using the given information, the number of bags created with random seed packets is 16 complete bags of seeds and a remainder of 5 seed packets
How to find the number of bagsThe number of bags created achieved by division. This is a basic mathematical operator used in sharing items
Given information
Seed Type Number of Packets
Aster 95
Daisy 160
Pansy 70
Sunflower -
Wildflower -
Adding the number of packets available gives
95 + 160 + 70 = 325 seed packets
Sharing them in a bag containing 20 seed packets each we divider the total number of seed packets by 20
= 325 seed packets / 20
= 16.25
Therefore 16 bags will be created and 5 will be remaining
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On Tuesday Jill bought eight posters. On
Wednesday half of all the posters that she
had were destroyed. On Thursday there
were only 22 left. How many did she
have on Monday? Write an equation using
"p" for posters. Then solve the equation
and check your answer.
The number of posters Jill had on Monday are 18.
The equation is p + 8 - 4 = 22.
Given that:-
Number of posters bought by Jill on Tuesday = 8
Number of posters left on Thursday = 22
We can write,
Number of posters destroyed on Wednesday = (1/2)*8 = 4
Let the number of posters Jill had on Monday be p.
Hence, the equation for the posters is given by:-
Posters on Monday + Posters bought on Tuesday - Posters destroyed on Wednesday = Total posters on Thursday
It can be written as:-
p + 8 - 4 = 22
Solving the equation, we get
p + 4 = 22
p = 22 - 4
p = 18
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the point on 0 on the number line represents what?
Accordig to the given line, City P is above sea level, and City R is below sea level because they are above and below zero, respectively.
Hence, the right answer is D.Discussion forum---reply to this post
There is no one right answer to why statistics is misleading. There can be many factors at work that have hidden variables that affect the outcome of the data. It’s up to us to see the data and come up with factors that could be hidden but still at work that we don’t see. It’s important to study the data, to see if there are hidden variables in the data or not.
But I still think, any statistics is good to help the decision-making process. It's good to see data before making the final decision. Any sort of data, good or bad is still useful to see trends. Data should be considered when making decisions, but more analysis should be done before any final decision can be made. Data at face value can be right but we should make sure if there is any hidden information that we don’t know about.
Statistics can be misleading by faulty sampling and inaccurate graphs
What is statistics?The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
Given Data
Statistics can be misleading.
Statistics is quite powerful. So much so that some of the most significant decisions made by individuals and organizations were based on statistics. The adage that "statistics don't lie" may actually be true. However, statistics can occasionally be deceptive, and depending on how they are used, the same type of data can demonstrate the opposite tendency.
Sometimes inaccurate information is purposefully supplied in order to influence individuals and forward a goal. Similarly, it can also occur as a result of negligence or just failing to comprehend the data.
Knowing the various ways statistics can be abused will help you spot them and avoid making decisions based on skewed or inaccurate information.
1)Faulty sampling
The info can due to the sampling strategy employed to gather the data, be deceptive. For instance, the size and kind of the sample used in any statistics has a big impact. Since many surveys and polls are directed at specific groups of people who give particular answers, the sample sizes tend to be tiny and skewed.
2)Inaccurate graphs
Data manipulation can be done in a variety of ways, not just by using descriptive statistics incorrectly. You can identify them if you are aware of them.
3)Chooser Data Display
This type of data visualization might be perplexing and exaggerate differences. If you look at the data and consider how much variety there is in the numbers, you can spot false graphs in the media.
4)Absence of Baseline
Checking to see if the start-at-zero criteria has been adhered to is another approach to spot a deceptive graph. In a graph, The New York Times demonstrated that its sales are double those of The Daily Telegraph. However, if you look at the scale, you can see that the sales difference is just about 10%.
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i need help with question 15
A rational number is a number that can be written in the form:
[tex]\frac{p}{q}[/tex]Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:
[tex]\sqrt{3}[/tex]This number cannot be written a ratio. We can rule out option 2.
All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.
The bottom row of the pile has 25 apples and the top row has 9. Each row has 4 less apples than the row below. How many apples are in the pile?
There are 90 apples in the pile and the row has 4 fewer apples than the row below.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The sum of an arithmetic sequence is the sum of the first n terms of the sequence as
Sₙ = n/2(2a+(n−1)d)
In arithmetic, here a₁ is the first term and sequence d represents the common difference.
Sum of the apples = 25 + 21 + 17 + 14 + 13 + 9
This series is in AP where a = 25 , d = - 4 and n = 6
As per the given data, the sum of apples would be as:
S₆ = 6/2(2×25+(6-1)×-4)
S₆ = 3(50 + 5×-4)
S₆ = 3(50 - 20)
S₆ = 3(30)
S₆ = 90
Therefore, there are 90 apples in the pile.
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Zoie is painting a picture that is 15 by 27 inches. She plans to frame it in a frame x inches wide.
1) Write a polynomial that will be the area of the framed picture.
2) What will be the area of the picture with the frame if x=3?
The polynomial area of the framed picture is (27 + 2x) * (15 + 2x) and the value is 693 square units
What are areas?The area of a shape is the amount of space on the shape
For most regular quadrilaterals, you multiply the side lengths to determine the area
How to determine the area of the framed picture?The given parameters are
Width = 15
Length = 27
Also, we have
Length of the frame = x
This means that the area of the framed picture is
Area = (Length + 2 * Length of the frame) * (Width + 2 * Length of the frame)
Substitute the known values in the above equation
Area = (27 + 2x) * (15 + 2x)
The value of the area when x = 3In (a), we have
Area = (27 + 2x) * (15 + 2x)
When x = 3, we have
Area = (27 + 2 x 3) * (15 + 2 x 3)
Evaluate
Area = 693
Hence, the area is 693 square units
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I am z years old, and my brother is 6 years younger than I am. How old will I be in 10 years? How old will my brother be in 10 years?
Answer:
In ten year you will be 10 years older than you are now and so will your brother. The 6 years difference will remain if no one dies.
Step-by-step explanation:
You are z years old
Your brother is 6 years younger than z years; z - 6 years
In 10 years time, you will be z + 10 years
Your brother will be z - 6 years + 10 years = z + 4 years
OR
In 10 years time, you will be z + 10 years
You brother is still 6 years younger than you, so is z + 10 years - 6 years = z + 4 years
show work for 758 x 93
The product of the numbers 758 and 93 is 70494
How to determine the product of the numbers?The numbers are given as
758 x 93
By using the standard algorithm i.e. the partial product method, we have the following equation
758 x 93 = 758 x (90 + 3)
Open the bracket
So, we have the following equation
758 x 93 = 758 x 90 + 758 x 3
Evaluate the products
758 x 93 = 68220 + 2274
Next, we evaluate the sum
758 x 93 = 70494
This means that the final product is 70494
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Stishen is running late for class one morning and randomly grabs two socks from a drawer that has 8 blue and 6 black. If you select four socks at random, what is the probability at most three are blue?
If you select four socks at random, the probability that at most three are blue is 42.9%.
What is probability?Probability is the likelihood of an expected outcome occurring when many possible events can happen.
Probability is represented in percentages, fractions, and decimals to show that it describes what is likely from many outcomes.
The total number of socks in the drawer = 14
The number of blue socks = 8
The number of black socks = 6
The probability of getting a blue sock = 8/14
The probability of getting 3 out of 4 = 3/4
The combined probability = 8/14 x 3/4
= 42.86%
= 42.9%
Thus, when you randomly select four socks, you can probably get blue socks 42.9% of the time.
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What is the first 3 pairs of opposite integers
The first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).
Given that,
We have to find the first 3 pairs of opposite integers.
Opposite integers means the "counting numbers" (sometimes known as integers), as well as zero, are integers. The pairs of integers known as opposite integers share the same absolute value, or, to put it another way, are equally spaced from zero. The numbers 10 and -10 are the opposites. The numbers 43 and -43 are the opposites.
So,
Keep in mind that our whole numbers are our integers. The negative and positive iterations of a number together are called a pair of opposite integers.
We get, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).
Therefore, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).
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Find the maturity value of a loan of $17104 after 4 months. The loan carries a simple interest rate of 12.5% peryear: Round to the nearest cent.O A. $17,639 50O B. $17.822.66OC. $17.816.67OD. $17.994.83
Answer: maturity value = $17816.67
Explanation:
The formula for calculating simple interest is expressed as
I = PRT
where
I is the interest
P is the principal or initial amount
R is the interest rate
T is the time in years
From the information given,
P = 17104
R = 12.5% = 12.5/100 = 0.125
We would convert 4 months to years. Recall
12 months = 1 year
4 months = 4/12 = 1/3
Thus, the interest is calculated as follows
I = 17104 x 0.125 x 1/3 = 712.67
maturity value = principal + interest
maturity value = 17104 + 712.67
maturity value = $17816.67
The answer is in red, i just need someone to show me why/how
thankssss!!
During training, an athlete ran 250 m/min. By then on the day of a race, he increased his average speed to 300 m/min and finish the race on minute faster than he had during training. What distance was the race
If he increased his average speed to 300 m/min and finish the race on minute faster than he had during training. The distance of the race is: 1500 meters.
DistanceSlower speed :
rate = 250 m/min
time = x minutes
distance = r×t = 250x meters
Faster speed :
rate = 300 m/min
time = x - 1 minutes
distance = 300x - 300 meters
Equate
distance = distance
250x = 300x - 300
Collect like terms
50x = 300
Divide both side by 50x
x = 300/50
x = 6 minutes
Hence,
Race distance = 250x where x =6
Race distance = 250×6
Race distance= 1500 meters
Therefore we can conclude that the distance is 1500 meters.
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Under her cell phone plan, Zendaya pays a flat cost of $42 per month and $4 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Zendaya can use while staying within her budget.
Answer: 4x + 42 < 50
Step-by-step explanation: $42 is the flat price so that is our constant; $4 per gigabyte is our variable. If she wants to keep her bill UNDER $50 dollars a month you would put a less than symbol.
Answer:
Step-by-step explanation:
i did the work and i got 4x + 42 < 50