Answer:
3 seconds
Step-by-step explanation:
Downwards positive
a = 32
s = 1000 - 760 = 240
s = ut + ½at²
240 = 32t + 16t²
t² + 2t - 15 = 0
t² + 5t - 3t - 15 = 0
t(t + 5) - 3(t + 5) = 0
(t - 3)(t + 5) = 0
t = 3, -5
By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.
Explanation:The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],
where:
d is the distance fallen
v is the initial velocity
a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])
t is the time
In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).
Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.
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How do the slopes of the lines created by each table compare?
Answer:
The Correct Answer is B
Step-by-step explanation:
Answer:
The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.
Step-by-step explanation:
)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?
Answer:
$107.38
Step-by-step explanation:
$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})
$91 (th original price) + 15.38 (the tip) = $108.38 (final price)
Please answer~ 25 points :p
Answer:
y=15
Step-by-step explanation:
We know that the angles in a triangle add to 180 degrees
∠ABC+∠BAC+∠ACB=180
We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180
∠ACB+ ∠ACD=180
∠ACB+146=180
Subtract 146 from both sides
∠ACB=34
Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in
∠ABC+∠BAC+∠ACB=180
4y+8+5y+3+34=180
Combine like terms
4y+5y+8+3+34=180
9y+45=180
Subtract 45 from both sides
9y=135
Divide both sides by 9
y=15
Which statements are true regarding the sequence below? Check all that apply.
It can be represented using the formula f(x + 1) = 5 (f) when f(1) = 10.
It can be represented using the formula f(x) = 4 6 *.
It can be represented using the formula fx) = 10 (6)*-.
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.
It’s a and c
Step-by-step explanation:
The true statements about the given geometric sequence are as follows:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The given sequence is as follows:
10/3, 4, 24/5, 144/25, ...
The sequence is a geometric sequence with a common ratio of 6/5.
The first term is 10/3, so we can use the formula f(x + 1) = (6/5)(f(x)) to represent the sequence.
We have
f(x) = 10/3
Also, for f(x+1) we can have
x = 1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Thus, the correct options are A and C.
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The complete question is as follows:
Which statements are true regarding the sequence below? Check all that apply.
10/3, 4, 24/5, 144/25, ...
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
B) It can be represented using the formula f (x) = 4 (6/5) /\x.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
D) The Domain of the sequence is all real numbers
E) The range of the sequence is all natural numbers.
Find the unit rate.
18 books in 3 boxes = (
books per box
Answer:
Step-by-step explanation:15 books in 3 boxes =
books per box
Final answer:
The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.
Explanation:
To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:
Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.So, the unit rate is 6 books per box.
Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.
Answer:
12. [tex]x=10[/tex]
13. [tex]x=4[/tex]
14. [tex]x=5[/tex]
15. [tex]x=1[/tex]
16. [tex]x=8[/tex]
17. [tex]x=14[/tex]
Step-by-step explanation:
for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])
[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse
12.
[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =200[/tex]
[tex]x^{2} =100[/tex]
[tex]x=10[/tex]
13.
[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =32[/tex]
[tex]x^{2} =16[/tex]
[tex]x=4[/tex]
14.
[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =50[/tex]
[tex]x^{2} =25[/tex]
[tex]x=5[/tex]
15.
[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =2[/tex]
[tex]x^{2} =1[/tex]
[tex]x=1[/tex]
16.
[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =128[/tex]
[tex]x^{2} =64[/tex]
[tex]x=8[/tex]
17.
[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]
[tex]2x^{2} =392[/tex]
[tex]x^{2} =196[/tex]
[tex]x=14[/tex]
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set
a goal for herself to knit at least 15 scarves and at the most 21 scarves this week Eve wants to know how many scarves she
should knit each day to meet her goal
Which inequality represents the given situation?
Final answer:
Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.
Explanation:
Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.
Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.
Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.
Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.
The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.
Answer:
h = -6
Step-by-step explanation:
To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.
(6 + h)(6 + 5) = 0
I like to use the acronym FOIL for problems like these: first, outside, inside, last.
To start, multiply the first terms, 6 and 6. The answer is 36.
Next, multiply the outside terms, 6 and 5. The answer is 30.
Then, multiply the inside terms, h and 6. The answer is 6h.
Finally, multiply the last terms, h and 5. The answer is 5h.
Add all the products together.
36 + 30 + 6h + 5h = 11h + 66
The equation becomes 11h + 66 = 0.
Now, subtract 66 from both sides to isolate h.
11h = -66
Then, divide both sides by 11 to further isolate h.
h = -6
You have your final answer, h = -6.
bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.
Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)
The independent variable is; A: The number of secounds.
The dependent variable is; B) The number of feet the sub descends.
What is the independent and dependent variable?
A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.
We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.
Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.
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Answer:
Step-by-step explanation:
What is the slope of a line perpendicular to y= -5/6x-7?
a. -6/5
b. 6/5
c. -5/6
d. 5/6
Answer:
it's B
Step-by-step explanation:
Trust me
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)
Given:
The line parallel to the given line containing the points (-3,3) and (-2,1).
Also, the parallel line passes through the point (4,1).
We need to determine the equation of the line in slope - intercept form.
Slope:
Since, the two lines are parallel, then their slopes are equal.
Thus, the slope of the parallel line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points (-3,3) and (-2,1), we get;
[tex]m=\frac{1-3}{-2+3}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Thus, the slope of the line is [tex]m=-2[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;
[tex]y-1=-2(x-4)[/tex]
Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]
Hence, Option a is the correct answer.
To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.
Explanation:To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.
The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.
Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).
help me with these 3 questions please. aH-
Answer:
1) 2/7; 43; 3/7
2) C
3) 30; 30; 10; is not; 10; is not
Step-by-step explanation:
1) y + 4/7 = 6/7
y = 6/7 - 4/7
y = 2/7
17 + b = 60
b = 60 - 17
b = 43
6/7 = m + 3/7
m = 6/7 - 3/7
m = 3/7
2) 11.5 - x = 5.25
x = 11.5 - 5.25
x = 6.25
3) he can substitute 30 for t.
He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).
Since 15 is not equal to 10, Harry's solution is not correct
How many teenagers should be in the sample
Answer:
THEREFORE
Step-by-step explanation:
THERE SHOULD BE 7 TEENAGERS IN THE SAMPLE.
HOPE, THIS MAY HELP YOU BRO!!..
The sample should include 18 teenagers, as they constitute 60% of visitors aged 13-19 among the total sample of 30.
To determine the number of teenagers that should be in the sample, we first need to calculate the proportion of teenagers among the total visitors and then apply that proportion to the sample size.
From the cumulative frequency table, we can see that:
- The total number of visitors is 350.
- The number of teenagers (ages 13-19) is 210.
The proportion of teenagers among all visitors is:
[tex]\[\frac{\text{Number of teenagers}}{\text{Total number of visitors}} = \frac{210}{350}\][/tex]
Now, we need to apply this proportion to the sample size of 30 to find out how many teenagers should be in the sample:
[tex]\[\text{Number of teenagers in the sample} = \text{Proportion of teenagers} \times \text{Sample size}\][/tex]
[tex]\[\text{Number of teenagers in the sample} = \frac{210}{350} \times 30\][/tex]
[tex]\[\text{Number of teenagers in the sample} = \frac{3}{5} \times 30\][/tex]
[tex]\[\text{Number of teenagers in the sample} = 18\][/tex]
So, there should be 18 teenagers in the sample.
Please help quickly!
Answer: A
Step-by-step explanation:
z/8 + 2 = -15
The solution is z = ______.
Look at the attached picture⤴
Hope it will help u..
Answer:
Z = -136
Step-by-step explanation:
z/8 + 2 = -15
-2 -2
Z/8 = -17
Z/8 X 8 -17 X 8
Z = -136
Find the value of X.
Answer:
x=37
Step-by-step explanation:
We know that the angles in a triangle must add to 180 degrees
So, the three angles: x, 3x-5 and x must be equal to 180
x+3x-5+x=180
Combine like terms
x+3x+x-5=180
5x-5=180
Add 5 to both sides
5x=185
Divide both sides by 5
x=37
Find the volume of the cylinder the radius is 4ft and the height is 6 ft
Answer:
about 301.59
Step-by-step explanation:
You use the volume formula and just plug in the numbers! Hope that was helpful :)
SIMPLIFY THE EXPRESSION: 2(4+5v)
PLS HELPPPPP ILL GIVE U BRAINLIEST
Answer:
8+10v
Step-by-step explanation:
Answer:
8+10v
Step-by-step explanation:
Explain how you find the median of a set of date that has an even number of data points.
Answer:
find the average of the 2 numbers in the direct middle.
Step-by-step explanation:
1,2,4,4,4,4,6,6,6,6,6,6
4,6
4+6=10
10/2=
=5
Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.
Answer:
Substitution.
Step-by-step explanation:
x+y=2
y=-x+2
2x+(-x+2)=4
x=2
(2)+y=2
y=0
Solution: (2,0)
Answer:
subsitution
Step-by-step explanation:
5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *
Answer:
29xy
Step-by-step explanation:
Answer:
319
Step-by-step explanation:
just because work I don't wanna type
need math help!! answer choices are 80 , 40, 20, and 60
Answer:
60
Step-by-step explanation:
The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:
y + 10 = 2y - 40
Subtract y from both sides:
y + 10 = 2y - 40
-y -y
____________
10 = y - 40
Add 40 to both sides:
10 = y - 40
+40 +40
________
50 = y
Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):
y + 10
50 + 10 = 60
OR
2y - 40
2(50) - 40
100 - 40 = 60
5 2/8-3 7/8=? I need help plzz
Answer:
1 3/8
Step-by-step explanation:
5 2/8 - 3 7/8
= 42/8 - 31/8
= 11/8
= 1 3/8
Make it as the brainliest
Answer:
1 3/8
Step-by-step explanation:
(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)
= 2 - 5/8 = 1 3/8
__
It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.
Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.
Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings
Use the variable m to represent Matt's savings.
Answer:
500 +2m
Step-by-step explanation:
500 "increased by" "twice Matt's savings"
translates to ...
500 + 2m
__
Your algebraic expression is ...
500 +2m
Answer:
500 + 2m
Step-by-step explanation:
m represents Matt's savings. So 2m is twice that.
500 increased by that means add them, so you get 500 + 2m
What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3
Answer:
Option (B) 336 cm³
Step-by-step explanation:
Height of the Regular Pyramid = 14 cm
Base area of the Regular Pyramid = 1/2 * Side²
Area of the Regular Pyramid = 1/3 * Base area * Height
= 1/3 * 14 * (1/2 * Side²)
= 1/3 * 14 * (1/2 * 12²)
= 1/3 * 14 * (1/2 * 144)
= 1/3 * 14 * 72
= 24 * 14
= 336 cm³
So, Option (B) 336 cm³ is the correct Option.
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Mark BRAINLIEST
Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms
Answer:
x=4
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE
What is 7.123 rounded to the nearest whole number?
A line that is parallel to y - x = 8 would have a slope of:
Answer:
1
Step-by-step explanation:
Rearrange y-x=8 to y=x+8
parallel lines have the same slope
so lines slope is 1
Hola cockeroaches, answer this again
Answer:
5- 48
6- 1.5
7-324
Step-by-step explanation: You have to plug in the numbers for the variables
a times c = 12 times 4 =48
1/2 times B= 1/2 times 3= 3/2 = 1/5
A times b times d = 12 times 3 times 9 = 324