Answer: 7.04mph
Step-by-step explanation:
[tex]d=19.7mi\\t=2.8h\\v=?[/tex]
Formula:
[tex]d = v*t\\v=\frac{d}{t}\\v=\frac{19.7mi}{2.8h}\\ v=7.04mph[/tex]
Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third, and so on. On which day will Roberta jog 13 laps if the pattern continues.
It seems that she runs two more laps each day, so:
day 1- 3
day 2- 5
day 3- 7
day 4- 9
day 5- 11
day 6- 13
simple patterns baby
Final answer:
Roberta will jog 13 laps on the sixth day of her jogging routine, following the arithmetic sequence of adding 2 laps each day, starting with 3 laps on the first day.
Explanation:
The student is asking about a pattern in which Roberta jogs an increasing number of laps each day, with the sequence starting at 3 laps and increasing by 2 laps each subsequent day. To determine on which day Roberta will jog 13 laps, we can identify this as an arithmetic sequence with a common difference of 2. The first day is 3 laps, the second day is 5 laps, and this pattern continues. Following this sequence, the number of laps jogged by Roberta each day is:
Day 1: 3 lapsDay 2: 5 lapsDay 3: 7 lapsDay 4: 9 lapsDay 5: 11 lapsDay 6: 13 lapsThus, Roberta will jog 13 laps on the sixth day, if the pattern continues.
Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
The question asks to find a trigonometric value for x given a trigonometric equation. Clear solution steps cannot be provided due to ambiguity in the equation's presentation. Normally, one would use trigonometric identities or methods like Newton's method to find x.
Explanation:The question requires us to find a numerical value of one trigonometric function of x given the equation tan2x - sin2x/sin2x = 5. Although the provided reference text contains various trigonometric contexts, it lacks direct relation to solving the given equation.
In order to solve for x, one would typically aim to manipulate the equation into a standard trigonometric identity or apply techniques such as Newton's method if handling a more complex algebraic expression involving trigonometric functions.
To tackle the given trigonometric equation, we would ideally express tan2x in terms of sin2x and cos2x using the identity tan2x = sin2x/cos2x, thus simplifying the equation and allowing us to isolate and solve for x.
Unfortunately, there is an ambiguity in the equation presented in the question (lack of clear parentheses), and so a definitive solution cannot be provided without clarification.
What makes Rohan the protagonist of "The Catch"?
Rohan is the most important character who opposes Ethane.
Rohan is helped by Lewess as they compete against Ethane.
Rohan is a good character, while Ethane is a bad character.
Rohan is the first character who is described in the story.
Answer:
The answer is a, rohan is the most important character who opposes Ethane.
Step-by-step explanation:
The requried, it is likely that the statement "Rohan is the most important character who opposes Ethane" is the most accurate reason for Rohan being the protagonist of "The Catch." Option A is correct
This statement suggests that Rohan plays a central role in the story and is positioned as the primary character in opposition to Ethane.
The other statements, such as Rohan being helped by Lewess and the moral evaluation of Rohan and Ethane's characters, do not necessarily establish Rohan as the protagonist but provide additional details about his relationships and qualities within the story.
The fact that Rohan is the first character described in the story does not directly determine his status as the protagonist but may indicate his significance in the narrative.
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A car costs €5000 + 20% vat
What's the totalk price?
someone help
Answer:
$6000
Step-by-step explanation:
20% of $5000 is $1000= 0.2 x 5000= 1000
$5000 + $1000= $6000
Hope this helps
A bag contains 3 blue
marbles and 2 yellow marbles.
One example of independent
events using this bag of marbles is randomly selecting a blue marble,__________,and then
randomly selecting another
blue marble.
Fill in the blank above with
one of these:
a) Not replacing it
b) Replacing it
Answer:
a) replacing it
if you dont replace the marble there will be 1 less marble than before it will effect the possiblity
A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.
What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
1
Olox
5
?
Answer: 2/5
Step-by-step explanation: The total number of letters available to choose from is 10. You want to know the probability of 4 of those 10. So you divide 4/10. When you simplify that fraction it becomes 2/5.
The solution is 2/5
The probability of choosing a letter from Q to T is given by the equation
A = 2/5
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a letter from Q to T be represented as A
Now , the equation will be
Let the letters be represented as set 1 = { Q , R , S , T , U , V , W , X , Y , Z }
The total number of letters = 10 letters
The number of letters from Q to T = 4 letters
So , the probability of choosing a letter from Q to T is A = number of letters from Q to T / total number of letters
Substituting the values in the equation , we get
Probability of choosing a letter from Q to T is A = 4/10
On simplifying the equation , we get
Probability of choosing a letter from Q to T is A = 2/5
Therefore , the value of A is 2/5
Hence , the probability is 2/5
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Solve the inequality.
5x - 7 < 8x + 8
The solution set is x |
Answer:
- 5 < x
Step-by-step explanation:
To solve, we need to isolate the variable: x
5x - 7 < 8x + 8
Subtract 5x from both sides
5x - 5x -7 < 8x -5x + 8
- 7 < 3x + 8
Subtract 8 from both sides
- 7 -8 < 3x + 8 -8
-15< 3x
Divide both sides by 3
- 15/3< 3x/3
- 5 < x
Answer:
-5 < x is correct, I double check her answer
Which fraction is equivalent to 1.240?
Question 1 options:
A)
180∕3333
B)
18∕333
C)
180∕333
D)
180∕33
it is not 18/333
The equivalent fraction for the decimal 1.240 is 31/25 after simplifying the initial fraction of 1240/1000. None of the provided options, A) 180/3333, B) 18/333, C) 180/333, or D) 180/33, are correct, with the closest incorrect answer being D) 180/33.
The question asks to find the fraction equivalent to the decimal number 1.240. To solve this, we can first write 1.240 as a fraction with a denominator of 1000, since there are three digits after the decimal point. This gives us 1240/1000. We can simplify this fraction by dividing both the numerator and the denominator by the greatest common divisor, which in this case is 10. Thus, the simplified fraction is 124/100. But we can simplify further by reducing the fraction to remove any common factors.
Another common factor here is 4, which when divided into both numerator and denominator, gives us the equivalent fraction of 31/25. This fraction is not listed as any of the provided options, suggesting there might be a typo or mistake in the options given. If we establish the correct fraction 31/25, none of the options A, B, C, or D match. However, Option D, 180/33, is the only option that also results in a number slightly larger than 1, but it still does not match exactly.
If (x-2/3)=6 find the value of (x^3-8/xcube)
Answer:
(x-2)(x^2+2x+4)/x^3
Step-by-step explanation:
if you were doing for x let me know
I will mark as brainliest. Please Help.
Find the equation of the tangent to the circle x²+y²=169 at the point (5,12)
Answer:
12y + 5x = 169
Step-by-step explanation:
Differentiate wrt x
2x + 2y(dy/dx) = 0
dy/dx = -x/y
At (5,12)
m = -5/12
y = (-5/12)x + c
12 = -25/12 + c
c = 169/12
y = (-5/12)x + 169/12
12y + 5x = 169
Answer:
y = [tex]\frac{-5}{12}[/tex] x +17
Step-by-step explanation:
We'll have to use calculus and differentiating to solve this.
Differentiate the given equation with respect to x:
x^2 + y^2 = 169
2x + 2y * (dy/dx) = 0
Solve for dy/dx:
dy/dx = -x/y
Now, what this derivative means is actually the slope of the tangent line at the point (x, y).
Substituting 5 in for x and 12 in for y, we get:
dy/dx = -5/12
So, the slope is -5/12
Now, we have a slope (m = -5/12) and a point (5,12), so we can write an equation in point-slope form, which is: [tex]y-y_1=m(x-x_1)[/tex], where (x_1, y_1) is the point and m is the slope. So, we have:
y - 12 = [tex]\frac{-5}{12}[/tex] (x - 12)
We can then solve for y (if you want): y = [tex]\frac{-5}{12}[/tex] x +17.
Hope this helps!
translate the points two left and six up
W(4,8)
X(3,-2)
Y(6,5)
Answer:
W'(2, 14)X'(1, 4)Y'(4, 11)Step-by-step explanation:
To translate 2 left, subtract 2 from every x-value.
To translate 6 up, add 6 to every y-value.
__
W' = W +(-2, 6) = (4-2, 8+6)
W' = (2, 14)
__
X' = X +(-2, 6) = (3-2, -2+6)
X' = (1, 4)
__
Y' = Y +(-2, 6) = (6-2, 5+6)
Y' = (4, 11)
With a tailwind, a aircraft can fly 360 miles in 3 hrs. Against this same wind, the aircraft can fly the same distance in 4hrs. Find the effect of the wind and the average of the aircraft
Answer:
15mph
Step-by-step explanation:
360 divide by 3 = 120
360 divide by 4 = 90
120 - 90 = 30
30 divide by 2 (cause boosting speed and drag) = 15
so let's check
120-15=105
105+15=120
105-15= 90
so the answer's 15.
To find the effect of the wind and the average speed of the aircraft, set up a system of equations and solve them simultaneously. The effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
Explanation:To find the effect of the wind and the average speed of the aircraft, we can set up a system of equations. Let's denote the speed of the aircraft as 'a' and the speed of the wind as 'w'. With a tailwind, the aircraft can fly 360 miles in 3 hours, so we have the equation 360 = (a + w) * 3. Against the wind, the aircraft can fly the same distance in 4 hours, so we have the equation 360 = (a - w) * 4.
Now, we can solve these equations simultaneously to find the values of 'a' and 'w'. Multiplying the first equation by 4 and the second equation by 3 gives us 1440 = (a + w) * 12 and 1080 = (a - w) * 12. Subtracting the second equation from the first equation eliminates the 'w' term, giving us 1440 - 1080 = (a + w) * 12 - (a - w) * 12. Simplifying further, we get 360 = 24w. Dividing both sides by 24 gives us w = 15. Substituting this value back into one of the original equations, we can find the value of 'a'. Using the equation 360 = (a + 15) * 3, we can solve for 'a' to get a = 105.
Therefore, the effect of the wind is a speed of 15 mph and the average speed of the aircraft is 105 mph.
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Which is closest to the circumference of the CD?
1. 18.84
2. 28.26
3. 37.68
4. 113.04
Answer:
,
Step-by-step explanation:
1: In which equation does m have the same value as in the equation above?
A: 0.6228 = 0.72m
B: 6.228 = 72m
C: 6,228 = 72m
D: 6,228 = 720m
2: A bakery makes fresh bagels each morning. On Saturday, the bakery sold 60 bagels between 8:00 AM and 10:00 AM, which was 3/5 of the total number of bagels they sold that day. When the bakery closed on Saturday, they had 25 bagels left from that morning’s batch that they did not sell. These leftover bagels were what percentage of the bagels that the bakery made on Saturday?
3: Tickets for a pancake breakfast cost $10. Which equation shows the relationship between the number of tickets, t, and the total cost, c, of the breakfast tickets?
A: c=10t
B: t=10c
C: c=10+t
D: t=10+c
Answer:
1. D
2. 20%
3. A
Step-by-step explanation:
1.
[tex]7.2m = 62.28 \\ m = \frac{62.28}{7.2} = 8.65 \\ since \: m = 8.65 \\ 720m = 6228[/tex]
2.
[tex]since \: 60breads \: is \: \frac{3}{5} of \: total \: bread \: sold \\ total \: sold \: = \frac{60 \times 5}{3} = 100breads \\ at \: the \: end \: of \: the \: day \: 25 \: breads \: were \: not \: sold \\ total \: breads \: made \: = 100 + 25 = 125breads[/tex]
[tex]to \: find \: percentage \: of \: bread \: not \: sold \\ \frac{number \: not \: sold}{total \: number \: made} \times \frac{100}{1} \\ \: \frac{25}{125} \times \frac{100}{1} = 20\%[/tex]
3.
C= 10t
Answer:
A is the answer (o|o) (o|o) (o|o)
Step-by-step explanation:
An 18-foot ladder reaches the top of
a building when placed at an angle of
45° with the horizontal. What is the
approximate height of the building?
Answer:
810 Feet Approximately.
Step-by-step explanation:
what is the volume of the following rectangular prism?
Answer:
I dont really know how to multiply fractions but i do know the step.
Step-by-step explanation:
Since 23/4 units square's formula is L × B. and the H is 4/3 units.All you needed to do to find the recrangular prism was to multiply 23/4 and 4/3 to get it.Then simplify it.Sorry i dont really know whether this helps but its what i know:'D
Answer:
volume= 23/4 x 4/3
volume= 7 2/3 units3
Find the degree of the monomial 23x^4
Answer:
The degree of the monomial is 4.
Solve the equation below.
k - 6.2 = 24.8
Answer:
k = 31
Step-by-step explanation:
k - 6.2 = 24.8
+6.2 +6.2 (Add 6.2 to both sides to isolate the variable: k)
__________
k = 31
Answer:
31
Step-by-step explanation:
To find the value of k, you have to add 6.2 and 24.8 . To check your work, you subtract 31 by 6.2 and you'll get 24.8.
Betsy went bowling. She bowled 10 frames and got a score of 8 in each
frame.
Which operation would be best to find out her total score?
A. addition
B. subtraction
• c.division
D. multiplication
Answer: D. multiplication
pls brainliest
You acquired a 34.5 foot rope and are excited to string it between the ground and up a tree to create a delivery system. You need the rope to make a 25° angle with the ground. How high up the tree do you need to place the rope? Include a sketch that shows all known information and clearly shows what you need to find . Show all work and give the answer rounded to the nearest tenth of a foot.
The height of the tree is 14.5 ft.
Step-by-step explanation:
Let the height of the tree be 't'
The angle between the ground and the rope = 25°
Length of the rope = 34.5 ft.
To find :
The height of the tree.
We can use the sine to calculate the height of the tree.
sin 25° = t/34.5
sin 25° = 0.42
sin 25° = t/34.5
0.42 = t/34.5
t = 0.42 x 34.5
t = 14.5 ft.
The height of the tree is 14.5 ft.
Divide:
–112 ÷ 7
Question 9 options:
A)
–1∕16
B)
–16
C)
–784
D)
16
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
a (positive 7 is less than half of -112)
c (-784 is way big than -112 and 7)
d (it can't be a positive because the negative number is bigger than the positive number in the equation)
Hope this helped (if you can you make me brainliest and answer my latest question)
20 points
About 50% of the students at a high school opted for Spanish classes and of these,
about 32% opted for both Spanish and German classes. What percentage of the
students opted for German classes given that they have also opted for Spanish?
Answer:
32%
Step-by-step explanation:
P(G/S) = P(G&S)/P(S)
= (0.32×0.5)/0.5
= 0.32
32%
The percentage of students who have opted for German classes among those who also chose Spanish classes is 32%. This is because 50% of the students chose Spanish, and of these, 32% also selected German classes.
The question revolves around the percentage of students at a high school who have opted for German classes among those who have opted for Spanish classes. To solve this, we consider that 50% of the students chose Spanish classes, and of those, 32% also chose German classes. This means that among the students who took Spanish, 32% is the percentage of students who elected to take German classes as well.
Please help! I keep getting the answer of 48 centimeters squared but according to the problem that isn't right! Please help!!!! the problem is below
The triangle below has been reduced by a scale of 0.4.
A large triangle has a base of 30 centimeters and height of 10 centimeters. A smaller triangle does not have dimensions provided.
What is the area of the reduced triangle?
A. 24 centimeters squared
B. 60 centimeters squared
C. 75 centimeters squared
D. 375 centimeters squared
Answer:
Its B
Step-by-step explanation:
30×10=300
300×.4= 120
120÷3=60
Answer:
its 24 (A)
Step-by-step explanation:
I got it right on Edgen 2020
Given the equation 5 + x - 12 = x - 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x = -4, 0, 5 to prove your solution to the equation 5 + x - 12 = x - 7. In your final answer, include all of your calculations.
Answer:
part A= x=1
part B= -13=-11 and -7=-7 and -2=-2
Step-by-step explanation:
part A
5+x-12=x-7
-7+x=x-7
x=1
part B
5+(-4)-12=-4-7
-1-12=-4-7
-13=-4-7
-13=-11
5+x-12=x-7
5+(-12)=-7
-7=-7
5+x-12=x-7
5+5-12=5-7
10-12=-2
-2=-2
Which list is in order from least to greatest?
9.4 x 10 -8, 9.25 x 10 -6, 2.5 x 10 3, 7 x 10 3
2.5 x 10 3, 7 x 10 3, 9.25 x 10 -6, 9.4 x 10 -8
9.25 x 10 -6, 9.4 x 10 -8, 7 x 10 3, 2.5 x 10 3
9.4 x 10 -8, 9.25 x 10 -6, 7 x 10 3, 2.5 x 10 3
Answer:
Step-by-step explanation:
last list
Answer:
it's the one at the bottom
Find the simple interest on $8,000 at 4% interest for 2.5 years?
Answer:
800
Step-by-step explanation:
Divide.
5,323 ÷ 34
Enter your answer in the boxes as a mixed number in simplest form.
The required solution is 156 19/34.
It is required to find the solution.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
The given fraction is
5,323 ÷ 34
= 156 19/34
Therefore, the required solution is 156 19/34.
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The Wing Station wants the average price of the lunch meal deals to be $8.
Lunch Meal Deal Prices
Item
Price ($)
Deluxe hamburger
$9
Reuben sandwich
$7
Chicken wings
Chicken stir fry
$9
Cobb salad
$6
Make your own sandwich
$10
What does the price of the chicken wings need to be for this to happen?
Mark this and return
Save and Exit
Next
Submit
Answer:
The price of chicken wings need to be $7 for the average price of the lunch meal deals to be that.
Step-by-step explanation:
Please kindly check the attached files for explanation
Answer:
B.) 7$
Step-by-step explanation:
Easier explanation
Simplify.
- 2x - 5 – 5x + io + 3x
Enter your answer in the box.
Do not use decimals in your answer.
which is the outlier in this set of values?
65 70 56 45 59 67 62
Answer:
45
Step-by-step explanation:
Listing the numbers in order,
45 56 59 62 65 67 70
45 is 10+ digits away from the followed number compared to the rest of corresponding digits. As 56 (+3) to get to 59, or 65 (+2) to get to 67. 45 has the highest gap in the sequence.
45 is the outlier