Answer:
total 1 hour 15 mins
Step-by-step explanation:
3:45 - 5:00
lets count one by one
3:45 - 4:00 = 15 mins
4:00 - 5:00 = 1 hour
total 1 hour 15 mins
Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
the question is in the image
Check the picture below.
now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]
Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.
Answer:
C
Step-by-step explanation:
d / rate = time
d / 90 + d/60 = 6 hours
(2d+ 3d)/180 = 6
5d = 1080
d = 216 miles
The distance from NYC to Boston is 216 miles.
We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.
We have to determine distance between NYC and Boston.
What is the formula to calculate the distance travelled by the body moving with speed ' v mph ' for ' t hours '.The distance covered by the body will be -
d = v x t
According to question, we have -
Assume that the distance travelled by Steve from NYC to Boston be x.
Then, total distance covered for the round trip = 2x.
From NYC to Boston -
Suppose that in going from NYC to Boston, Steve takes t hours. Then
x = 90 x t (1)
From Boston to NYC -
Steve will take (6 - t) hours to travel the distance. Then -
x = 60 x (6 - t) (2)
Now, Equating the equations (1) and (2), we get -
90 x t = 60 x (6 - t)
1.5t = 6 - t
1.5t + t = 6
2.5 t = 6
t = [tex]\frac{12}{5}[/tex] = 2.4 hours
Therefore -
x = 90 x 2.4 = 216 miles
Hence, the distance from NYC to Boston is 216 miles.
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The number 3 represents of the class.
Answer:
WE CANT ANSWER WITH THAT LITTLE OF INFORMATION
Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?
Answer:
the answer is B
Step-by-step explanation:
Answer:
inactivity fee
Step-by-step explanation:
Find The Eqn Of Normal To The Curve y= x² - x - 6 at The Point Where It Process x - axis.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
If it passes through x, then let's find x when y = 0
[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]
So, required values of x are 3 and -2
Now, let's differentiate the equation to get slope slope for tangent ~
[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]
[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]
Now, plug in the values of x to find slopes of tangents
[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]
[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]
We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'
[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]
and
[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]
[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]
Now, write the equations of normals using point slope form :
Normal 1 : passing through (3 , 0), and slope = -1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]
[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]
and
Normal 2 : passing through (-2 , 0), and slope = 1/5
[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]
[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]
[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]
That's all for Aunty ~ hope it helps !
Solve for x. Leave your answer in simplest radical form
Answer:
x = 2√7
using Pythagoras theorem:
7² + ?² = 9²?² = 81 - 49? = √32? = 4√2For the bottom part:
x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7Answer:
this is my answer
5.29
Step-by-step explanation:
Hope this helps
Please help me I will give brainliest
Answer:
2,250 yd^3
Step-by-step explanation:
formula for pyramid is lwh/3
Which words describe an angle measuring 92º?
Answer:
obtuse
Step-by-step explanation:
It is obtuse because it is greater than 90 degrees!
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
More about the dilation link is given below.
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the other two questions are asking what is the actual length and what is the actual witdh.so yea...
Answer:
the answer could be 60
Step-by-step explanation:
I could be wrong sorry if I am
-5x+2<12 please someone help
Answer:
[tex]\boxed{\sf{x > -2}}[/tex]Step-by-step explanation:
Put the term x on one side of the equation.
-5x+2<12Subtract by 2 from both sides.
[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]
Solve.
Subtract the numbers from left to right.
⇒ 12-2=10
⇒ -5x<10
Multiply by -1 from both sides.
⇒ (-5x)(-1)>10(-1)
Solve.
Multiply the numbers from left to right.
-5x*-1=5x
10*-1=-10
→ 5x>-10
Divide by 5 from both sides.
→ 5x/5>-10/5
Solve.
Divide the numbers from left to right.
-10/5=-2
[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]
Therefore, the correct answer is x>-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]x > -2[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5x+2 < 12[/tex]
To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.
[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]
Which means your answer is "x > -2."
Hope this helps.
Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?
Answer:
2x
Step-by-step explanation:
X = chris's money
2 times chris's money = 2x
hurry !!! not much time left
The correct answer would be:
-10x + y = 4
10x - y = -4
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answer:
the answer is 10.52547%
Step-by-step explanation:
the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.
ANSWER
solution
here,
Correct option is B)
Total age of 40 old students =40×15=600years.
Total age of 40 old and 10 new students =50×15.2=760years
∴ Total age of 10 new students =760−600=160years
∴ Required average age =
10
160
=16years
Answer:
16 years is the answer
Step-by-step explanation:
My account got deactivated I am about to cry
Find the sum of
−
3
7
and its opposite
Answer:0
Step-by-step explanation:The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
And also
If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference
Answer:
110 cm
Step-by-step explanation:
Hope it will help you.
Whats the rate of change for (0,3) and (2,-5)
Answer:
[tex]\boxed{\sf{-4}}[/tex]Step-by-step explanation:
Solve a slope using a rate of change.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
⇒ y2=(-5)
⇒ y1=3
⇒ x2=2
⇒ x1=0
Rewrite the problem down.
⇒ (-5)-3/2-0
Solve.
⇒ -8/2
Divide.
⇒ -8/2=-4
Therefore the slope is -4, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
someone help, its calc
Differentiate
[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]
[tex]\\ \rm\rightarrowtail 4x+9[/tex]
Put x=5f'(5):-
4(5)+920+929Option C
instantaneous rate can be found by differentiating the function.
Here,
f(x) = 2(x)² + 9(x)so differentiating:
f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9So when x = 5,
f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.
Answer:
k>1 1/3
Step-by-step explanation:
i have rsm too bro
The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
What is the condition for a solution?If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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What is the arithmetic mean of the
following numbers?
8, 10, 8,5, 4, 7,5,10,8
Help
Answer:
its simple just add all of the numbers and then divide it by the total frequency
Step-by-step explanation:
4+5+5+7+8+8+8+10+10
8
=65
8
=8.125
. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?
Step-by-step explanation:
the formula is distance/time
since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Complete the following to show that the expressions (5+1)(5−1) and 52−12 are equivalent.
What is the degree of the polynomial?
1
2
4
6
Answer:
The answer is 6.
Step-by-step explanation:
The degree is the largest exponent on the variable. And in this case the answer is 6.
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
3w(x+y) - 4z(x+y)
Step-by-step explanation:
Hope it helps......
3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B
How to solve thisTo factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.
The given expression is 3wx + 3wy - 4zx - 4zy
First, put the terms into pairs.
The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.
Next, separate and remove the terms that are the same from each group.
The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).
This is a summary:
In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.
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hey I need help please help if you can ty!!! :)))
Answer:
12.3
Step-by-step explanation:
cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3
James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h(x) represent the height of the shot put, when the horizontal distance is x feet.
h(x)= -0.05x² + x + 6
From the graph of h(x):
The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet
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Can someone help me?
Answer:
Step-by-step explanation:it is the degree of 4
Will give brainliest thanks so much!!!
Answer:
76.6%
Step-by-step explanation:
345/450 * 100%
I hope it helps and sorry if I'm wrong