Answer:
9.81
Step-by-step explanation:
1/100 = 0.01
Therefore the answer is 9.81 as 2 will be rounded down.
What is the slope of the line that passes through the points (4,9) and
(7,18)? Write your answer in simplest form.
Answer:
The answer is m=3 so the slope is 3
Step-by-step explanation:
assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
Given:
x and y are both differentiable functions of t.
[tex]4x^2+3y^3=28[/tex]
[tex]x=-1\text{ and }\dfrac{dy}{dt}=8[/tex]
To find:
The value of [tex]\dfrac{dx}{dt}[/tex].
Solution:
We have,
[tex]4x^2+3y^3=28[/tex] ...(i)
At x=-1,
[tex]4(-1)^2+3y^3=28[/tex]
[tex]4+3y^3=28[/tex]
[tex]3y^3=28-4[/tex]
[tex]3y^3=24[/tex]
Divide both sides by 3.
[tex]y^3=8[/tex]
Taking cube root on both sides.
[tex]y=2[/tex]
So, y=2 at x=-1.
Differentiate (i) with respect to t.
[tex]4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0[/tex]
Putting x=-1, y=2 and [tex]\dfrac{dy}{dt}=8[/tex], we get
[tex]4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0[/tex]
[tex]-8\dfrac{dx}{dt}+9(4)(8)=0[/tex]
[tex]-8(\dfrac{dx}{dt}-9(4))=0[/tex]
Divide both sides by -8.
[tex]\dfrac{dx}{dt}-36=0[/tex]
[tex]\dfrac{dx}{dt}=36[/tex]
Therefore, the value of [tex]4x^2+3y^3=28[/tex] is 36.
The local newspaper has letters to the editor from 40 people. If this number represents 4% of all of
the newspaper's readers, how many readers does the newspaper have?
Answer:
1000 readers
Step-by-step explanation:
40 people represent 4% of the total number of readers.
4% is 1/25 of 100%, therefore:
4% x 25 = 100%
So, if we multiply the number of people that represent 4% by 25, we will get the total number (100%).
40 x 25 = 1,000
The newspaper has 1000 total readers.
Alternatively, you could also divide 4% (40) by 4 which would give you 1%=10. Multiply this by 100 to get 100% which gives us: 100% = 1000.
Hope this helped!
which shape is similar to shape l?
Answer:
pentagon
Step-by-step explanation:
got 5 sides
02.CI.GeometryandGeometry Honors.CRM1.2 :
Which transformation preserves angle measures, but not segment lengths?
Dilation
Rotation
Reflection
Translation
Answer:
dilation
Step-by-step explanation:
Dilation is the only one of the options in which the figure can change size. The angles stay the same
The solution is: Dilation is the transformation which preserves angle measures, but not segment lengths.
Here, we have,
we know that,
Transformation is the movement of objects in coordinate plane.
A function f will map a set X to itself. f:X→X.
Dilation is a transformation that produces an image of the same shape as the original but of different size.
In dilation angle measures are preserved where as lengths of segments are not preserved.
so, we get,
Dilation is the only one of the options in which the figure can change size. The angles stay the same.
Hence, The solution is: Dilation is the transformation which preserves angle measures, but not segment lengths.
To learn more on dilation click:
brainly.com/question/13176891
#SPJ6
A recipe uses 5 cups of flour for every 2 cups of sugar.
Fill in the blanks. Just write the number.
Answer:
Step-by-step explanation:
1.0.4
2. 2.5
3. 17.5
4. 2.4
Answer:
1.0.4
2. 2.5
3. 17.5
4. 2.4
Step-by-step explanation
Show how to solve the problem in the example by multiplying decimals
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation:
Example: Multiply 0.25 by 0.2
0.25 × 0.2. multiply without decimal points:
25 × 2 = 50. 0.25 has 2 decimal places,
can someone write 3 + x in a words?
Answer:
three plus x?
Step-by-step explanation:
Answer:
three plus ex
Draw a square.
Label the side lengths of the square
What is the area of the square?
Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about point C prime composition reflected across line m Reflected across line m composition 90 degree rotation about point C prime 180 degree rotation about point C prime composition reflected across line m Reflected across line m composition 180 degree rotation about point C prime
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The average person breathes 70 pounds of air in two days. At this rate, how many pounds of air will the average person breathe in 10 days?
Answer
350
Step-by-step explanation:
I need help with this Adding Fractions problem. If you answer and fill out this whole page I will love you for the rest of my life. My mom is in the hospital and I have to go visit her I wont have time to do my homework tonight and my teacher will be mad if I don't do it tonight. Its ok if you cant do it I understand since you have your own homework to do.
Answer:
omigosh hope she gets better i will look at the pdf and solve
Step-by-step explanation:
okay so for most of them you can just multiply by the denominator to turn it into a regular number (to get it out of fraction form) and then use basic algebra to solve for x. I 'll write the answers to problems 1-9 in the comments
The figure shows a circle inscribed in a triangle.
A circle is inscribed within a triangle.
To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next?
A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle.
A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle.
Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.
C.Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
Answer:
the answer is c
Step-by-step explanation:
buddy guy!!, has anyone noticed that mos thanks have bats literally lots of there names r like dome7
Answer:
yes i noticed that
Step-by-step explanation:
What is the equation in slope-intercept form of a line that passes through (–2, 2) and is perpendicular to the graph of y = x 2 1 − 3?
Answer:
y=x^4-6
y=1/x-2
Step-by-step explanation:
42÷2 1/3
And 6 2/9÷5 5/6
Kate is going on a long distance car trip. She begins with 16 gallons of gas in her car and her car burns 3 gallons of gas each hour. If she ends her road trip with 1 gallon of gas left in the tank, how many hours was she driving
Answer:
She was driving for 5 hours
Step-by-step explanation:
Let us solve the question
∵ Kate begins with 16 gallons of gas in her car
∵ Her car burns 3 gallons of gas each hour
→ That means the rate of burn of the gas is 3 gallons per hour
∵ She ends her road trip with 1 gallon of gas left in the tank
→ That means she used the difference between 16 and 1 gallons
∴ The number of gallons she used = 16 - 1 = 15 gallons
→ By using the ratio method
→ Gallon : hour
→ 3 : 1
→ 15 : x
→ By using cross multiplication
∵ 3 × x = 15 × 1
∴ 3x = 15
→ Divide both sides by 3
∴ x = 5
∵ x represents the number of hours of her trip
∴ She was driving for 5 hours
8. x - 6 = 2
what does x equal heeeeeeeeeelp!
Answer:
x=0
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
hope this helps
4(2-6x) = -80
pls help me
Answer:
-3
Step-by-step explanation:
Answer:
x = [tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Given
4(2 - 6x) = - 80 ( divide both sides by 4 )
2 - 6x = - 20 ( subtract 2 from both sides )
- 6x = - 22 ( divide both sides by - 6 )
x = [tex]\frac{-22}{-6}[/tex] = [tex]\frac{11}{3}[/tex]
"Which point is plotted using the directions below?
Start at the origin. Move 4 units to the right, then move 5 units up.
O (5, 4)
O (4,5)
O (9,0)
0 (0,9)
Answer:
(4,5)
Step-by-step explanation:
Since you move right 4 from the origin, then your x value would increase by 4, and since you're moving 5 units up from the origin, then your y value would increase by 5
what is the answer to 7 ⅚ - 3 ⅓=?
Answer:
4 1/2
Step-by-step explanation:
7 5/6 - 3 1/3
changing to improper fractions;
47/6 - 10/3 LCM = 6
(47 - 20)/6
27/6 = 9/2 = 4 1/2.
The product of g and2 is less than it equal to 6?
Answer:
3
Step-by-step explanation:
write a paragraph. How do you prepare fore a math test?
Answer:
studying
Step-by-step explanation:
to prepare for a math test you have to study and study then have some one one to help you with it
Determine the intercepts of the line.
x-intercept:
y-intercept:
Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation LaTeX: 4c+6v=804 c + 6 v = 80 describes the relationship between the number of cars, LaTeX: cc, and number of vans, LaTeX: vv, that can transport exactly 80 students. Select all statements that are true about the situation. Group of answer choices
A. If 2 cars go, then 2 vans are needed.
B. LaTeX: c=14 c = 14 and LaTeX: v=4 v = 4 are a pair of solutions to the equation.
C. If 6 cars go and 11 vans go, there will be extra space
D. 10 cars and 8 vans isn't enough to transport all the students.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
B. c =14 v = 4 are a pair of solutions to the equation.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Step-by-step explanation:
Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation
4 c + 6 v = 80
We are to find what can transport exactly 80 students.
We compare the options till we get our correct answer.
A. If 2 cars go, then 2 vans are needed.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(2) + 6(2)
8 + 12 ≠ 80
20≠ 80
Option A is wrong
B. c =14 v = 4 are a pair of solutions to the equation.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(14) + 6(4) = 80
56 + 24 = 80
80 = 80
Option B is correct
C. If 6 cars go and 11 vans go, there will be extra space
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(6) + 6(11)
24 + 66
110 > 80
Option C is wrong, there would be no space left
D. 10 cars and 8 vans isn't enough to transport all the students.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(10) + 6(8)
40 + 48
88 > 80
Option D is wrong
E. If 20 cars go, no vans are needed.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(20) + 6(0) = 80
80 + 0 = 80
80 = 80
Option E is correct
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
4 c + 6 v = 80
c = number of cars needed
v = number of vans needed
Hence,
4(8) + 6(8) = 80
32 + 48 = 80
80 = 80
Option F is correct
Therefore the statements in options B, E and F are the only correct statement for the equation 4 c + 6 v = 80
The distance between two towns is 88 kilometers. There are approximately 8 kilometers in 5 miles. What measurement is closest to the number of miles between these two towns?
Answer:
It's 55
Step-by-step explanation:
5/8=0.625
0.625 times 88 = 55
5 The soccer team is
buying new uniforms.
You can get 10 pairs of
kneepads for $185. If the
team needs 17 sets of
kneepads, how much will it
cost
Which is the solution to the inequality?
1/4+X <5/6
0 x < 7/12
0 x > 7/12
0x< 1 1/12
ox > 1 1/12
Answer:
x < [tex]\frac{7}{12}[/tex]
Step-by-step explanation:
Move all terms not containing X to the right side of the inequality.
Make the addition sign the opposite, which is subtraction.
5/6 - 1/4 = 7/12
The < is still the same, so after the X is alone, make it an inequality.
x < [tex]\frac{7}{12}[/tex] is the answer.
A bicycle store costs $2400 per month to operate the store pays an average of $60 per bike the average selling price of each bicycle is $120 how many bicycles must the store sell each month to break even
PLEASE ANSWER THIS ASAP
Answer:
8,5
Step-by-step explanation:
5*8-2y=30
40-30=2y
10=2y
y=10/2
y=5
Answer: The answer is 5!
