Step-by-step explanation:
Coach trainer timed his athletes running 40 yard dash. The fastest time was 4.58 and the difference between the slowest and fastest time was 1.17 seconds. Find the slowest time.
The slowest time of the 40 yard dash is given by the equation A = 3.41 sec
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the slowest time be represented as A
Now , the equation will be
Let the total length of the yard = 40 yard dash
Let the fastest time be represented as F
The value of F = 4.58 seconds
The difference between the fastest and the slowest time = 1.17 seconds
Substituting the values in the equation , we get
Fastest time - slowest time = 1.17 seconds
So ,
4.58 - A = 1.17
On simplifying the equation , we get
Adding A on both sides of the equation , we get
A + 1.17 = 4.58
Subtracting 1.17 on both sides of the equation , we get
A = 4.58 - 1.17
A = 3.41 seconds
Therefore , the value of A is 3.41 seconds
Hence , the equation is A = 3.41 seconds
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An isosceles triangle has a perimeter of 34cm . The congruent sides measure (4x-1)cm . The length of the third side is x cm . Find X
Answer:
x=4
Step-by-step explanation:
\(4x - 1 + 4x - 1 + x = 34\\\\4x + 4x = 8\\8x + x = 9x\\9x - 1 - 1 = 34\\\\\left \{ {{9x -1+ -1 = 34} \atop {+ 1 = + 1}} \right. \\\\When you have two of the same signs, you add them together.\\so you should end up with -2 so now we have \\9x- 2=34 \\\left \{ {{9x- 2=34 } \atop {+2 + 2}} \right. \\9x = 36\\\left \{ {{{9x= 36} \atop {9\\ \\ \\ \\ \\ \\ \\ 9}\right. \\36 divided by 9 which gives you 4\\so\\ x=4\)75 points Dilations of Segments and Angles
CD is dilated by a scale factor of 3/4 to form C ′ D ′ . CD measures 2. What is the measure of C ′ D ′ ?
Answer
0.823742
Step-by-step explanation:
just a genius
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.24 Calculate: (a) sample range
Answer:
The sample range is 2.61.
Step-by-step explanation:
We are given the following grade-point averages which apply to a random sample of graduating seniors below;
3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.
As we know that the range of the data is calculated bu using the following formula;
Range = Highest value in the data - Lowest value in the data
Here, Highest value = 3.81
Lowest value = 1.20
So, the sample data range = 3.81 - 1.20
= 2.61.
a family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation?
The correct option is (E) "The amount of fertilizer applied to each plot of land." In this linear regression equation, the family needs to select an explanatory variable that they can control and that can affect the amount of grain harvested per acre of land.
Out of the given options, "amount of fertilizer applied to each plot of land" is the most appropriate explanatory variable that the family could use to create a linear regression equation. By controlling the amount of fertilizer used, the family can investigate the relationship between fertilizer and the amount of grain harvested per acre of land. They can then use this relationship to predict the amount of grain they can harvest if they use a certain amount of fertilizer in the future. so, the correct option is (E).
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____The given question is incomplete, the complete question is given below:
A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation? А The total amount of rainfall recorded at their farm B The type of crop planted in the plot the previous year с The average daily temperature at their farm D The variety of grain planted in the plot E The amount of fertilizer applied to each plot of land i
different equation dy÷dx+ytanx=secx
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
CAN SOMEONE HELP WITH THIS QUESTION?
We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.
If there is 6 grams of solid at time t, then f(t) = 6 g.
To estimate the amount of solid 1 second later, we can use the derivative formula:
f'(t) = −2f(t)(5+ f(t))
We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.
To do this, we can use Euler's method, which is an approximation method for solving differential equations.
Euler's method uses the formula:
f(t+1) ≈ f(t) + f'(t)Δt
where Δt is the time step (in minutes).
Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.
Plugging in the values for f(t) and f'(t), we get:
f(t+1) ≈ f(t) + f'(t)Δt
f(t+1) ≈ 6 - 2(6)(5+6)
f(t+1) ≈ -66
Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.
It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.
or maybe im just bad at maths
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1, 1 3 , 1 5 , 1 7 , 1 9 , ...
Answer:
The general term for the sequence can be given by the following formula:
\(a_n=2\,n+9\)
Step-by-step explanation:
If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.
Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:
\(a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9\)
individual health insurance is usually less expensive than group health insurance
true or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison. Which design is the most appropriate for this experiment
- Randomly number each item with 1, 2, or 3. Assign the items labeled 1 to the process 1 group, assign the items labeled 2 to the process 2 group, and assign the items labeled 3 to the process 3 group.
- Number each item from 1 to 1,200.
Reading from left to right from a table of random digits, identify 800 unique numbers from 1 to 1,200. Assign the items with labels in the first 400 numbers to the process 1 group. Assign the items with labels in the second 400 numbers to the process 2 group. Assign the remaining items to the process 3 group.
- Number each item from 0000 to 1199.
Reading from left to right on a random number table, identify 800 unique four-digit numbers from 0000 to 1199. Assign the items with labels in the first 400 numbers to the process 1 group. Assign the items with labels in the second 400 numbers to the process 2 group. Assign the remaining items to the process 3 group.
- Select an item, and identify the first digit reading from left to right on a random number table. If the first digit is a 1, 2, or 3, assign the item to the process 1 group.
If the first digit is a 4, 5, or 6, assign the item to the process 2 group. If the first digit is a 7, 8, or 9, assign the item to the process 3 group. If the first digit is a 0, skip that digit and move to the next one to assign the item to a group. Repeat this process for each item.
Answer: The most appropriate design for this experiment is the third option:
- Number each item from 0000 to 1199.
- Reading from left to right on a random number table, identify 800 unique four-digit numbers from 0000 to 1199. Assign the items with labels in the first 400 numbers to the process 1 group. Assign the items with labels in the second 400 numbers to the process 2 group. Assign the remaining items to the process 3 group.
This design ensures that the groups are equally sized and selected randomly without any biases. The use of a random number table to assign the groups helps to avoid any systematic patterns or preferences that might arise from numbering or labeling the items directly.
Step-by-step explanation:
What is the positive solution to the equation 0
= 3x2-31
?
Answer:
4.47
Step-by-step explanation:
3x²+31=91
3x²=91-31
3x²=60
x²=60÷3
x²=20
x=√20
x=4.47
Which sentence in this excerpt from Common Sense by Thomas Paine supports the claim that the American colonies could thrive independently from Britain? I have heard it asserted by some, that as America hath flourished under her former connection with Great Britain that the same connection is necessary towards her future happiness, and will always have the same effect. Nothing can be more fallacious than this kind of argument. We may as well assert that because a child has thrived upon milk that it is never to have meat, or that the first twenty years of our lives is to become a precedent for the next twenty. But even this is admitting more than is true, for I answer roundly, that America would have flourished as much, and probably much more, had no European power had any thing to do with her. The commerce, by which she hath enriched herself, are the necessaries of life, and will always have a market while eating is the custom of Europe.
Answer:
A
Step-by-step explanation:
Answer:
"But even this is admitting more than is true, for I answer roundly, that America would have flourished as much, and probably much more, had no European power had any thing to do with her."
Step-by-step explanation:
Checked 2021
160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance
Answer:
A (Note Reduction)
Step-by-step explanation:
A p e x of course
Answer: note reduction
Step-by-step explanation:
A PE C
Try These questions out and I’ll give you brainliest
The expressions are simplified to;
1. 72n² + 63n
2. 18t - 18t²
3. -18b² - 18b
4. -56r - 21r²
5. -6m + 9m²
What are algebraic expressions?Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.
These algebraic expressions are also made up of mathematical or arithmetic operations.
These operations are;
BracketParenthesesAdditionMultiplicationDivisionSubtractionFrom the information given, we have;
1. -9n (-8n -7)
expand the bracket
72n² + 63n
2. -2t(-9 + 9t)
expand the bracket
18t - 18t²
3. -3b(6b + 6)
expand the bracket
-18b² - 18b
4. -7r(8 + 3r)
expand the bracket
-56r - 21r²
5. 3m(-2 + 3m)
expand the bracket
-6m + 9m²
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what is 21+208 I AM A SUPER IDIOT PLZ HELP ME
Answer:
229
229
229
it's two hundred and nine
Answer:
your answer is 229
Step-by-step explanation:
200 plus 20 is 220 and 8 plus 1 is 9 so u add it all together and its 229
Kara starts tying a baby quilt at the local community center. Each quilt takes 200 ties to complete. Ten minutes later Julie joins Kara, and both stay to finish the quilt. Kara ties 6 per minute and Julie can tie 11 per minute.
a. Write an expression to show the number of ties Kara has completed after m minutes.
b. Using the same variable m, write an expression for the number of ties Julie has completed.
c. If you know they finished the quilt, write an equation to model the situation.
d. How many minutes did it take them to finish the quilt?
e. How many did each of them tie?
f. Suppose they tied the same amount. How long would it take?
g. How many did each of them tie?
h. The next week, Julie couldn’t make it so her friend Susan came to help. Susan can tie the ties ¾ as fast as Kara. Using the same variable m, write an expression for the number of ties Susan has completed.
1h. If you know they finished a quilt, write an equation to model the situation.
2h. How many minutes did it take them to finish the quilt?
3h. How many did each of them tie?
Answer:
Devious lick
Step-by-step explanation:
mmmmmm devious
elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
What is the volume of a regular pyramid whose base has an area of 36 ft? and whose height is 13 ft?
Answer:
Volume of regular pyramid = 156 ft²
Step-by-step explanation:
Given:
Area of regular pyramid = 36 ft²
Height of regular pyramid = 13 ft
Find:
Volume of regular pyramid
Computation:
Volume of regular pyramid = [1/3][b][h]
Volume of regular pyramid = [1/3][36][13]
Volume of regular pyramid = [12][13]
Volume of regular pyramid = 156 ft²
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
Question 5 (4 marks)
Albert, Lisa and Queenie are all standing on level ground, looking up at a plane P.
The angle of elevation from Albert to the plane is 40° and from Lisa to the plane is 70°.
Lisa is 90m away from Albert and Queenie is 170m from Lisa, as shown in the diagram.
b)
40°
90-
x
70°
-170-
Find the distance, x from Lisa to the plane, to the nearest metre.
Q
Hence find the distance, y from Queenie to the plane, to the nearest metre.
Marks
2
A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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Austin opened a savings account and deposited $600.00 as principal. The account earns 5% interest, compounded annually. What is the balance after 8 years?
Answer:
$886.47
Step-by-step explanation:
This composite figure is made up of three simpler shapes. What is the approximate area of the figure? Use 3.14 for it som 8 cm
Answer:
A. 67.12 cm²
Step-by-step explanation:
The rectangle is 3 cm by 6 cm.
area of rectangle = 3 cm × 6 cm = 18 cm²
The triangle has a 6 cm base and an 8 cm height.
area triangle = 6 cm × 8 cm / 2 = 24 cm²
The semicircle has a diameter of 8 cm and a radius of 4 cm.
area semicircle = (1/2)(3.14)(4 cm)² = 25.12 cm²
Add the three areas to find the total area.
18 cm² + 24 cm² + 25.12 cm² = 67.12 cm²
Answer: A. 67.12 cm²
5. 5(x + 10) + x
A. 6x + 15
B.5x + 15
C.6x + 50
D.4x – 50
Answer: C
Step-by-step explanation:
Shelly attempts to determine the total cost of a 200000 arm which starts at 8% by predicting the monthly payments get predictions are shown in the table
The total cost of the mortgage based on Susan's predictions is D. $528,310.80.
What is a mortgage payment?A mortgage payment is a reduction of the mortgage loan through periodic payments.
The total cost of a mortgage is the periodic mortgage payment multiplied by the number of payments.
The total mortgage cost can be determined using an online finance calculator as follows:
Data and Calculations:Home Price = $200,000
Down Payment = 0%
Loan Term = 30 years or 360 months (30 years x 12)
Interest Rate = 8%
Monthly Pay: $1,467.53
Total of 360 Mortgage Payments = $528,310.80 ($1,467.53 x 360)
Total Interest $328,310.49
Thus, the total cost of the mortgage based on Susan's predictions is D. $528,310.80.
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