A bee flies 15 miles per hour. Use the formula for distance, rate, and time to answer questions A-C. A. Write the bee's distance as a function of time. ______________ B. Write and solve an equation to show how far the bee has flown after 20 minutes. Equation: ______________ Solution: ______________ C. Use the equation to show how long it takes the bee to fly 12 miles. Function: ______________ Solution: ___________________
Answers
Answer:
Step-by-step explanation:
Speed of the bee = 15 miles per hour.
Formula to represent the speed of the bee will be,
Speed = \(\frac{\text{distance}}{\text{Time}}\)
Distance = Speed × Time
Therefore, function representing the distance will be,
F(t) = s × t
Where t = time
s = speed
A). F(t) = 15t
B). If t = 20 minutes ≈ \(\frac{1}{3}\) hours
F(t) = 15t
F(20) = \(15\times \frac{1}{3}\) = 5 miles
C). If f(t) = 12 miles
F(t) = 15t
By substituting these values in the function,
12 = 15t
t = \(\frac{12}{15}\) = 0.8 hours ≈ 48 minutes
This can be determined by using distance speed formula.Thus, the answer of (A) F(t)= 15t, (B) 5 miles/hr, (C)0.8 hours.
Given:
A bee flies 15 miles/hr.
(A) Firstly, we need to determined bee's distance as a function of time.
By the formula of speed distance,
\(\bold{Speed=\dfrac{Distance}{Time}}\)
Therefore,
\(\bold{Distance= Speed\times Time}\)
Now, distance expressed as function of time and solve it further,
\(\bold{F(t)= s\times t}\)
It is given that, speed =15 miles/hr.
Therefore,
\(\bold{F(t)= 15 t}\)
Hence,the bee's distance as a function of time is F(t)= 15t.
(B) Time is given that is 20 minutes.
Therefore, convert minutes into hour.
\(20 minutes= \dfrac{1}{3}hour\)
Substitute this value in above equation that is F(t)= 15t .
We get,
\(F(t)= 15\times\dfrac{1}{3} miles/hr\)
\(\bold{F(t)= 5miles/hr}\)
Hence, the bee has to be flown 5 miles/hr far after 20 minutes.
(C) Distance is given as 12 miles.
We need to determined the time it takes the bee to fly 12 miles.
As, we know that distance as a function of time so, F(t)=12miles.
Now, compare both equation (1) and(2) and calculate it further,
F(t)=12 miles and F(t)= 15t
Both have same left hand side. therefore,
\(\begin{aligned}12& = 15t\\t&= \dfrac{12}{15} \\t&=0.8 hours\end{aligned}\)
Hence, the bees would be take 0.8 hours to fly 12 miles.
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Related Questions
10.
Find the measure of angle 1.
8x - 4
16x + 8
Answers
Answer:
53°
Step-by-step explanation:
As we can see that ∠3 and ∠7 are corresponding angles. Therefore,
∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2Now calculate the angles of ∠3 and ∠7.
∠36x+86×15/2+845+853°∠78x-78×15/2-760-753°Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that
∠3 = ∠7 = ∠1 = 53°Hence the measure of ∠1 is 53°.
♦♦♦♦♦Hope it helps♦♦♦♦♦
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
Answers
answer is
B. 6√2
hope this helps!
2x+3=6x-5 Solve the eqution
Answers
Answer:
2
Step-by-step explanation:
2x+3=6x-5
2x-6x=-5-3
-4x=-8
X=8/4
X=2
So the final answer is 2
Ben got a part-time job. His mom said he must save at least two-thirds of his weekly paycheck, and can spend the rest. If he wishes to spend $40 this week, how much must he make?
Answers
Answer:
120
Step-by-step explanation:
1/3 = 40
3/3= 40 x3
=120
PLZZZZ HELP 100 PTS Create a conditional and its converse where the conditional is true but the converse is false
im stuck please help!! also, it is an
if, then
statement
Answers
Answer:
Consider the statement: "If it rains, then it is wet."
For a math statement: "If a function is differentiable, then it is continuous."
For a non calculus statement: "If 4 divides a number then that number is even."
12. A scatter plot of data showing the percentage of total Internet users who
visited an online store on a given day in December includes the points
(2008, 2.0) and (2010, 4.5). Write the slope-intercept form of an equation
for the line of fit containing those points.
Answers
Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508
The slope - intercept form of the equation can be obtained thus :
General form ; y = bx + cSlope, b = (y2 - y1) ÷ (x2 - x1)
Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)
Slope = 2.5 / 2 = 1.25
Using any of the pair of points we can obtain the intercept thus :
2 = 1.25(2008) + c
2 = 2510 + c
2 - 2510 + c
c = - 2508.
Hence, the equation is y = 1.25x - 2508
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Answer:
Using the slope - intercept relation, the equation of the line is y = 1.25x - 2508
The slope - intercept form of the equation can be obtained thus :
General form ; y = bx + c
Slope, b = (y2 - y1) ÷ (x2 - x1)
Slope, b = (4.5 - 2.0) ÷ (2010 - 2008)
Slope = 2.5 / 2 = 1.25
Using any of the pair of points we can obtain the intercept thus :
2 = 1.25(2008) + c
2 = 2510 + c
2 - 2510 + c
c = - 2508.
Hence, the equation is y = 1.25x - 2508
Step-by-step explanation:
Subtract
1/13
31
55
62
110
2
3/5
55
7
10
-
3
22. Simplify the answer.
Answers
When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
To subtract 3 from 22, we can perform the subtraction operation as follows:
22
3
19
We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.
Therefore, the simplified answer is 19.
The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.
By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.
In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.
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A flying squirrel's nest is 12 meters high in a tree. From its nest, the flying squirrel glides 15 meters to reach an acorn that is on the ground. How far is the acorn from the base of the tree?
Answers
The acorn is 9 meters far from the base of the tree. The solution has been obtained by using Pythagoras theorem.
What is Pythagoras theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
We are given that a flying squirrel's nest is 12 meters high in a tree.
So, the height is 12 meters.
Also, from its nest, the flying squirrel glides 15 meters to reach an acorn that is on the ground.
So, the distance the squirrel flied is 15 meters
Using Pythagoras theorem,
c² = a² + b²
Here, c = 15 and a = 12
So,
⇒b² = c² - a²
⇒b² = 15² - 12²
⇒b² = 225 - 144
⇒b² = 81
⇒b = 9
Hence, the acorn is 9 meters far from the base of the tree.
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Solve:
-4 + x = 6
A)-24
B)-10
C)-2
D)10
Answers
Answer:
x = 10 so D
Step-by-step explanation:
-4 + x = 6
add 4 both sides to get the x by itself
so 4 + 6 = 10
then the final answer is x = 10
Answer:
You have a negative 4 being added to the variable. To solve you need to use the opposite operation (what is the opposite of addition?)
For example:
7 = -3 + h
Subtraction -3 from each side.
7 -(-3) = -3- (-3) + h
10 = h
Step-by-step explanation:
2 apples cost 2 dabloons.
How much does 1 apple cost
Answers
the length of a rectangle is six inches more than eight times the width. the perimeter is 120 inches. find the length and width.
Answers
The length and width of a rectangle are 36cm and 4.5cm
Finding the Width:
The formula to find the perimeter of the rectangle is:
P=2(l+w),
where P is the perimeter, l be the length, and w be the width.
Now substitute the given values to solve for w, since we need to find the width.
The given information is:
the length of a rectangle is six inches more than eight times the width so the equation becomes:
L=8w+6
P=120
w=8w
now plug the values in the above formula:
P=2(l+w),
120=2(8w+6)+8w
120=16w+12+8w
120=24w+12
24w=108
w=4.5
To find the length just substitute in the L.
L=8(4.5)+6
L=30+6
L=36
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In AKLM, k = 13 cm, 1 = 17 cm and m=28 cm. Find the measure of ZK to the nearest
degree.
Answers
Answer:
18
Step-by-step explanation:
delta math
54:56
Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?
String
2
4
B
Percussion
3
6
9
String
2.
4
6
Percussion
5
10
15
String
2
4
6
Percussion
1
2
3
String
2
4
B
Percussion
4
8
12
Mark this and return
Save and Exit
Next
Sub
Answers
Answer:
String
2.
4
6
Percussion
5
10
15
Step-by-step explanation:
If the slope of the line that goes through the points (2, 7) and (5, a) is -3, what is the value of a?
Answers
Answer:
a = -2
Step-by-step explanation:
I graphed the given point (2,7) and then I used that point and plugged the point and the slope into the point-slope formula, which is (y-y₁)=m(x-x₁). Then, I just looked for where x=5 on the line and it was -2
A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
Answers
The standard error of the sample proportion is sqrt[(0.42)(0.58)/400] = 0.032.
Using a 95% confidence level, the critical value is 1.96.
The margin of error is 1.96 * 0.032 = 0.063.
The 95% confidence interval is 0.42 ± 0.063, which is (0.357, 0.483).
Therefore, we can be 95% confident that the true proportion of people who favor the tax plan is between 0.357 and 0.483.
A rectangle's area is 7 units larger than its perimeter. The width of the rectangle is 3 units. What is the length of the rectangle in units?
Answers
The length of the rectangle whose area is 7 units larger than its perimeter is 13 units.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
Given, Area of a rectangle is 7 units larger than its perimeter.
Assuming the length of the rectangle to be 'l' and the width to be 'w',
and the width is 3 units.
∴ (l×w) = 2(l + w) + 7.
(l×3) = 2(l + 3) + 7.
3l = 2l + 6 + 7.
l = 13 units.
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Can someone please help me
Answers
9514 1404 393
Answer:
f(x) = 3x³ +6x² -3x -6
Step-by-step explanation:
Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...
f(x) = a(x -(-2))(x -(-1))(x -1)
The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...
f(0) = -6 = a(2)(1)(-1)
-6 = -2a
a = 3 . . . . . divide by -2
So, the function in factored form is ...
f(x) = 3(x +2)(x +1)(x -1)
Expanded, this is ...
f(x) = 3x³ +6x² -3x -6
Calculate the perimeter and area of this semi-circle. 10cm
Answers
The Sigma Phi Delta Efficiency Contest was inaugurated in the academic year of 1933-1934, for the purpose of providing an impetus for more effective and efficient chapter operation. Currently the Efficiency Contest is composed of five (5) program areas.Which of the following is NOT a program area: A.Brotherhood Development B. Academic AchievementC. Pledge Education D. Fraternal EventsE. Chapter Operations
Answers
The program area that is NOT included in the Sigma Phi Delta Efficiency Contest is D. Fraternal Events.
The Efficiency Contest is focused on improving chapter operation through the program areas of Brotherhood Development, Academic Achievement, Pledge Education, Chapter Operations, and Community Service.
The other options (A. Brotherhood Development, B. Academic Achievement, C. Pledge Education, and E. Chapter Operations) are all part of the Efficiency Contest's program areas.
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if 60% of a number is 90, what is 4/5 of the number
Answers
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
A square has a perimeter of 32ft. What is the length of each side?
Answers
Answer: 2.378.
Step-by-step explanation:
perimeter of square= 4×side
32= 4×side
32/4= side
8= side
hope it helps you friend!!
The scissor lift is a device that can lower and raise a platform. the scissor lift can raise the platform at a rate of 2.0 inches per second after t seconds is given by H=2.0t +35. after how many minutes will the lift be at least 50 feet off the ground
Answers
Answer:
i thank it is 25 seconds.
Step-by-step explanation:
A cost that changes in total as output changes is a variable cost. a. True b. False
Answers
Answer:
a. True
Step-by-step explanation:
a. True
A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.
what’s equivalent to six to the negative power of two
Answers
The expression which is equivalent to; six to the negative power of two as given in the task content is; 1 / 36.
Which expression is equivalent to six to the negative power of two?It follows from the task content that the expression which is equivalent to six to the negative power of two is to be determined.
Since the given word phrase can be expressed as; 6^-²; it follows from the laws of indices that we have;
= (1 / 6)²
= 1² / 6²
= 1/36.
Ultimately, the equivalent expression is; 1 / 36.
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vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that
(a) Its distance from (1, 2) and (2, -3) are equal.
Answers
The gradient of the line between (1,2) and (2,-3) is (-3 - 2)/(2 - 1) = -5
The perpendicular gradient = -1/-5 or 0.2
The midpoint between (1,2) and (2,-3) is ((1+2)/2,(2+-3)/2) = (1.5, -0.5)
Substituting into y=mx + c
-0.5 = 0.2 x 1.5 + c
-0.5 = 0.3 + c
c = -0.5 - 0.3 = -0.8
So the locus is the line y = 0.2x - 0.8
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
14
Step-by-step explanation:
The center of the circle i hown. The diameter i 4 unit. A circle centered on a coordinate plane at the origin begin ordered pair 0 comma 0 end ordered pair. The circle pae through point begin ordered pair 2 comma 0 end ordered pair and begin ordered pair negative 2 comma 0 end ordered pair. What i the exact area of the circle?
Repone
2π
unit²
2 π , unit²
4π
unit²
4 π , unit²
8π
unit²
8 π , unit²
16π
unit²
16 π , unit²
Answers
The exact area of the circle is 4π \(units^2\).
The center of the circle is at the origin (0,0)
The diameter of the circle = 4 units.
So, the radius of the circle = 2 units.
The circle passes through points (2,0) and (-2,0). The given points are on the x-axis and they are exactly 2 units away from the origin
The area of a circle A = π \(r^2\),
where A is the area, π is approximately 3.14 and r is the radius of the circle.
So, the area of the circle with a radius of 2 units is A = π \(r^2\) = π(\(2^2\)) = 4π \(units^2\)
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How many hundreds are there in 27,356
Answers
27 thousand
3 hundred
50 tens
6 units
The number of hundreds in 27,356 is 273.
What do we mean by the number of hundreds in a number?The number of hundreds in a given number is the integral quotient that we will get by dividing the number by 100.
How do we solve the given question?We are asked how many hundreds are there in 27,356.
To find the number of hundreds, we divide the number by 100.
27356/100 = 273.56
The quotient we get is 273.56.
The integral part of this quotient, that is, 273 represents the number of hundreds.
∴ The number of hundreds in 27,356 is 273.
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How many groups of 2/3 are in 5?
Answers
Answer:
7.5
Step-by-step explanation:
help help help plz plz plz
Answers
Answer:
x = 7
All 8 angles measure 135°
Step-by-step explanation:
(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles
each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°
to solve for 'x':
16x + 23 = 135
16x = 112
x = 112/16
x = 7
check: 16(7) + 23 = 135
112 + 23 = 135
135 = 135