Answer:
60 trucks
Step-by-step explanation:
2x12=24
5x12=60
60+24=84 total vehicles
60 of them are trucks.
g(x) = 2x^3+ 2x^2– 4x – 9
find g(-3)
Answer:
-33
Step-by-step explanation:
I hope this is correct, and I apologize in advance if it isn't :(
Answer:
g(-3) = -33
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = 2x³ + 2x² - 4x - 9
g(-3) is x = -3
Step 2: Evaluate
Substitute: g(-3) = 2(-3)³ + 2(-3)² - 4(-3) - 9Exponents: g(-3) = 2(-27) + 2(9) - 4(-3) - 9Multiply: g(-3) = -54 + 18 + 12 - 9Add: g(-3) = -36 + 12 - 9Add: g(-3) = -24 - 9Subtract: g(-3) = -33413÷19= divide then check using multiplication
Which situation cannot be represented by the equation 15 + x = 25?
Victor and Raul donated 25 cans of fruit to their local food bank. Victor donated 15 cans. What is, x, the number of cans Raul donated?
The day's low temperature read 15ºF. The day's high temperature read 25ºF. What is x, the amount of degrees the temperature increased throughout the day?
Jean has $25. She found $15 of the amount in her wallet and the rest in her coat pocket. What is x, the amount of money in her coat pocket?
Elizabeth worked 15 hours. Josh worked 25 hours. What is x, the amount of hours they worked together?
Answer:
the last answer about the jobs
Step-by-step explanation:
please help me out -4x – 6 – 2x –3
May u please help me ill give out the brainly
Answer:
24x+18y+10
Step-by-step explanation:
start by distributing so 6*4x and 6*3y
that give you 24x+18y+10
Doug rents a kayak for 12 days. The rental charge is $18 per day. Which is the
best estimate for the total cost of the kayak rental?
Answer:
Yes
Step-by-step explanation:
Write a division problem that has a quotient of 12.
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 12.
The height (in feet) of a certain rocket t seconds after it leaves the ground is modeled by
h(t) = - 16t^2 + 48t. What is the shortest time it takes the rocket to reach a height of 35feet. Be
sure to include units. Round to the hundredths place.
Answer:
The answer is 1/2 second
Step-by-step explanation:
Hope this helps
Find d^2y/dx^2 if 5x^3 - y^3 = 25
A. -250x/y^5
B. (10x(y^2-x))/y^3
C. 5x^2/y^2
D. (10(y^2-5x^4))/y^3
E. 30x - 6y
Answer:
[tex]y''=\frac{-250x}{y^5}[/tex]
Choice A.
Step-by-step explanation:
We are given:
[tex]5x^3-y^3=25[/tex]
We are asked to find:
[tex]\frac{d^2y}{dx^2}[/tex]
This requires we first find:
[tex]\frac{dy}{dx}[/tex]
Let's begin.
We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule and then constant multiple rule and then power rule and chain rule.
[tex](5x^3-y^3=25)'[/tex]
[tex](5x^3-y^3)'=(25)'[/tex]
[tex](5x^3)'-(y^3)'=0[/tex]
[tex]5(x^3)'-(y^3)'=0[/tex]
[tex]15x^2-3y^2y'=0[/tex]
Now let's solve for [tex]y'[/tex].
Add [tex]3y^2y'[/tex] on both sides:
[tex]15x^2=3y^2y'[/tex]
Divide both sides by [tex]3y^2[/tex]:
[tex]\frac{15x^2}{3y^2}=y'[/tex]
Symmetric property of equality:
[tex]y'=\frac{15x^2}{3y^2}[/tex]
Simplify right hand side:
[tex]y'=\frac{5x^2}{y^2}[/tex]
Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:
[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]
[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]
We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.
So we have:
[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]
Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:
[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.
[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
Distribute:
[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]
Simplifying a bit more:
[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]
We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:
[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]
Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].
This implies we can replace it with -25:
[tex]y''=\frac{10x(-25)}{y^5}[/tex]
[tex]y''=\frac{-250x}{y^5}[/tex]
A recipe for punch requires 8 quarts of orange juice concentrate, 2 quarts of cranberry juice, and enough water to make a total of 14 quarts of punch. How much water is needed for this recipe?
3
2
Show gred
1
16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
- x2. on
sin - cos - tan-
+ - X + / +
log-e? 10
-
10n
Show less
Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
The cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%. What is the total cost of the hotel room?
Answer:
$359.13
Step-by-step explanation:
To find the total cost of her room we have to add the cost of the tax to the cost of the room.
To find the value of the tax, multiply the value of the room(325) by 10.5%:
Convert 10.5% to decimal form: 0.105
0.105 * 325 = 34.125
34.125 rounds up to 34.13.
Now, add the cost of the tax to the room's cost:
34.13 + 325 = 359.13
The total cost of the hotel room is $359.13.
The cost of a hotel room during Lacy’s trip is $325 and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that the cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%.
The total cost of the hotel room is,
Total cost = hotel room tax + cost of a hotel room
Total cost = 10.5% of $325 + $325
Total cost = $ 34.12 + $325
Total cost = $ 359.13
Thus, the cost of a hotel room during Lacy’s trip is $325, and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
using completing the square method in quadratic equation 5x²+ 11x + 2=0
Answer:
x= 1/5 or -2
Step-by-step explanation:
5x² +11x +2= 0
(Divide through by the coefficient of x²)
5x²/5 + 11x/5 + 2/5 = 0/5
x² + 11x/5 + 2/5 = 0
(take the constant to the other side)
x² + 11x/5 = -2/5
(Add 1/2 of the coefficisint of x all square to both sides)
x² + x + (11/5 × 1/2)² = -2/5 + (11/5 × 1/2)²
x² + x + (11/10)² = -2/5 + (11/10)²
x² + x + (11/10)² = -2/5 + 121/100
(eliminate x )
x² + (11/10)² = (20(-2) + 121 ) ÷ 100
(x + 11/10 )² = (-40 + 121) ÷ 100
(x + 11/10 )² = 81/100
(square both sides)
x + 11/ 10 =√(81/100)
x + 11/10 = 9/10
x = -11/10 +or- 9/10
x = -11/10 + 9/10 or -11/10 - 9/10
x = (-11 + 9) ÷ 10 or (-11-9) ÷ 10
x = -2/ 10 or -20/10
x = -1/5 or -2
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
Find the missing angle.
200
180
A
100
B
50
SO
D) 70
Answer:
the answer is c) 80
all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80
find the missing lengths and leave answers as radicals in simplest form
Answer:
x=8[tex]\sqrt{3}[/tex]
y=8
Step-by-step explanation:
lmk if you need work
The question is below (This an order of operation question)
Step-by-step explanation:
i am 90% sure this is correct
Answer:
Step-by-step explanation:
Do multiplication first since it comes before the division in this equation
1/5 · 1/2 = 1/10
Plug this value back into the equation
1/2 - 1/10 + 2/5 ÷ 7/10
Divide 2/5 by 7/10
4/7
Plug this value back into the equation
1/2 - 1/10 + 4/7
Subtract 1/10 from 1/2
2/5
Plug this value back into the equation
2/5 + 4/7
Add.
34/35
Hope this helps :)
Please consider Brainliest :)
If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
PLEASE HELP!! Serious answers only please!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths
Step-by-step explanation:
well that seems like a you problem lol
There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
How many ways can 1 woman and 1 man be chosen to take coats as
people enter?
Answer: 20 ways
Step-by-step explanation:
Given: There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
i.e. Number of women = 5
Number of men = 4
According to the fundamental counting principle , we have
(Number of women ) x (Number of men)
= 5 x 4
= 20
Hence, 1 woman and 1 man can be chosen in 20 ways to take coats.
Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)
Answer:
The recent role of the greenhouse effect
Step-by-step explanation:
simplyfy
5xxx
6xxxy
2xxx3xy
Answer:
5xxx + 2xxx +6xxxy + 3xy
7xxx + 6xxxy + 3xy
Step-by-step explanation:
Answer:
[tex]5x^3,6x^3y,6x^4y[/tex]
Step-by-step explanation:
First we write the x factors in exponential form (using powers)Just count the number of x and then use that number as the powerso [tex]5xxx=5x^{3}[/tex] since we have 3 x'sthen [tex]6xxxy=6x^3y[/tex] same as the firstFor the third one, group the numbers together and each letter with its group so [tex]2xxx3xy=2*3*xxxx*y[/tex] then multiply the numbers and change x in exponent formthen [tex]2*3*xxxx*y=6*x^4*y=6x^4y[/tex]pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56
Answer:
35
Step-by-step explanation:
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
Help I will give brainliest
A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount?
Answer:
$90
Step-by-step explanation:
14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the
vanishing point, how tall is it?
d.
160 cm
8 cm
C.
b. 0.1875 cm
a.
5.3 cm
Answer:
5.3cmStep-by-step explanation:
Step one:
given data
First tree
the tree is 8cm tall
and 30cm from the vanishing point
Third tree
let the tree be x cm tall
and 20cm from the vanishing point
Step two:
if 8cm tree will be 30cm at the vanishing point
then x cm tree will be 20cm at the vanishing point
cross multiply we have
x= (20*8)/30
x=160/30
x=5.3cm
The third tree is 5.3cm tall