Answer:
Step-by-step explanation:
[
37 and 15
Find the coeficcient of the x4y3 term in the expansion of (2x+y)7
By the binomial theorem,
[tex]\displaystyle (2x+y)^7 = \sum_{k=0}^7 \binom7k (2x)^{7-k} y^k=\sum_{k=0}^7 \binom7k 2^{7-k} x^{7-k} y^k[/tex]
where
[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]
is the binomial coefficient.
We get the x⁴y³ terms with k = 3, for which the coefficient would be
[tex]\dbinom73 2^{7-3}=\dfrac{7!}{3! 4!} 2^4=\boxed{560}[/tex]
what is the slope and y intercept of y= -3x + 2
Answer:
The slope: -3
Y-intercept: 2
Step-by-step explanation:
Answer: The slope is -3 and the y intercept is 2.
Step-by-step explanation:
The slope is the number acting as the coefficient, which is being multiplied by the variable x and the y intercept is the constant value which never changes.
Sean has two single accounts at Corona Bank. One account has a balance of $174,898.09 and the
other has a balance of $277,999.99. What is the sum of Sean's balances?
HELP ASAP!!!
Is ___ greater than, less than or equal to 5? Explain.
Look at picture to understand
What is 78,900,000,000 expressed as scientific notation?
Answer:
7.89 x 10<superscript=10>
Step-by-step explanation:
NEED ANSWER ASAP
10 points
You owe $25 on your credit card. You make a $5 payment and then
purchase $8 worth of clothes at Dillards. What is the integer that
represents the balance owed on the credit card?
Answer:
$12
Step-by-step explanation:
$25 on credit card - $5 payment - $8 clothes = what's left on the card
25 - 5 = 20
20 - 8 = 12
there's $12 dollars left on that credit of yours
A fair coin has 2 sides (heads and tails) that are equally likely to show when the coin is flipped.
What is the theoretical probability that a fair coin lands on heads?
Answer:
50%
Step-by-step explanation:
if there are two sides and are equally likey to land on the same side 100%/2 = 50% boom have a good friday
P(x)=5x^2-3x+7(x=1)
Pls
Answer:
9
Step-by-step explanation:
Given
p(x) = 5x² - 3x + 7 ← substitute x = 1
p(1) = 5(1)² - 3(1) + 7 = 5(1) - 3(1) + 7 = 5 - 3 + 7 = 9
Tim's mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of gasoline .what is the constant of proportionality that relates the cost in dollars ,y, to the number of gallons of gas,x
A.$0.31 per gallon
B.$3.13 per gallon
C.$3.20 per gallon
D.$0.32 per gallon
Answer:
itś c
Step-by-step explanation: because you divide 72.00/22.5= 3.2
I need an answer fast
Answer:
y=5x/6-10/6
y=5x/6-5/3 ( simplified)
Step-by-step explanation:
5x-6y=10
slope intercept form :
-6y=-5x+10
y=-5x/-6 +10/-6
y=5x/6-10/6
y=5x/6-5/3
Which multiplication expression is equivalent to 5/8 divided by 1/6 ?
Answer:
5/8 * 6/1
Step by Step Explanation:
Answer:0.625x0.16
Step-by-step explanation:
The new cookie recipe has 1 1/2 cups of flour for every 1/2 cup of chocolate chips.
Enter the slope.
Answer:
3
Step-by-step explanation:
1 1/2 cups for every 1/2 cup
im not exactly sure about the slope but i know the rate is 1:3
so i think they might be the same thing
In triangle ABC, the measure of angle B is 50 degrees. Select all possible values for the measures of A and C if ABC is an acute triangle. m\angle∠A= 58 degrees; m\angle∠C= 72 degrees m\angle∠A= 100 degrees; m\angle∠C= 30 degrees m\angle∠A= 80 degrees; m\angle∠C= 50 degrees m\angle∠A= 60 degrees; m\angle∠C= 70 degrees m\angle∠A= 90 degrees; m\angle∠C= 40 degrees m\angle∠A= 105 degrees; m\angle∠C= 25 degrees
Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?
Answer:
3
Step-by-step:
1,1,2.2.3.3.3.5.6.6.7.8.8
more 3s than other numbers
median is 3
What conclusion can be made based on this multiplication problem?
7x3=21
Seven is 3 times the size of 21.
Seven is 21 times the size of 3.
O Twenty-one is 7 times the size of 7.
O Twenty-one is 7 times the size of 3.
Answer:
I believe it is twenty-one is 7 times the size of 3
Step-by-step explanation:
Line n intersects lines 1 and m, forming the angles shown in the
diagram below.
n
l
(6x + 42)
(18x – 12)
m
Which value of x would prove L || m?
A 2.5
B 4.5
C 6.25
D 8.75
please help!! giving 20 points ! What is the area of this rectangle?
Answer:
C
Lucky guess if this is wrong i am truly sorry.
Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide.
How much fencing he will need?
Answer:
84 feet
Step-by-step explanation:
he will need 84 ft to cover the entire garden
Answer:
38 ft of fencing
Step-by-step explanation:
The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 7 x 12 ft.
The amount of fencing needed is 2(7) + 2(12) = 14 + 24 = 38 ft of fencing
If takes 5 farmers 10 days to plant a garden. How many days will it take 10 farmers?
Answer:
2
Step-by-step explanation:
2days
X^2 +6x+30 in vertex form
Answer:
Step-by-step explanation:
Factoring x2-6x-30
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -6 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7
-2 + 15 = 13
-1 + 30 = 29
Round 624.914 to the nearest whole number.
Transformation of functions
⅓ -(-⅔)=
answer Needed Pls Help
Answer:
1Step-by-step explanation:
⅓ - (-⅔)
= 1/3 + 2/3
= 3/3
= 1
PART A:
A car traveled 180 miles at a constant rate.
complete the table to show the rate at which the car was traveling if it was completed the same distance in each number of hours
travel time | rate of travel
5
4.5
3
2.25
PART B:
In the scenario in part a write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled t hours
Answer:
Part B: r = 180/t
Step-by-step explanation:
Solve for x.
y=7x−7z−9
Answer:
[tex]x=\frac{y+7z+9}{7}[/tex]
Step-by-step explanation:
[tex]7x-7z-9=y[/tex]
[tex]7x-7z-9+7z=y+7z[/tex]
[tex]7x-9=y+7z[/tex]
[tex]7x-9+9=y+7z+9[/tex]
[tex]7x=y+7z+9[/tex]
[tex]\frac{7x}{7}=\frac{y}{7}+\frac{7z}{7}+\frac{9}{7}[/tex]
[tex]x=\frac{y+7z+9}{7}[/tex]
4 x + 6 < − 6...............................................................
Answer:
x < - 3
Step-by-step explanation:
Given
4x + 6 < - 6 ( subtract 6 from both sides )
4x < - 12 ( divide both sides by 4 )
x < - 3
X=y than y=x what’s the property of equality
Answer:
Symmetric Property
Step-by-step explanation:
Symmetric Property, because it tells that the both sides of the equal sign are actually equal, regardless of which side of the equal sign.
If [tex]x = y[/tex], then [tex]y = x[/tex].
what is the slope of 3,2 -1,2
Answer: m = 0
..........................
HELP what is 0.8120^-2=y16
Answer:
1.6280
Step-by-step explanation:
. Move all terms not containing y y to the right side of the equation.
5(x-6) = 2x - 18 + 2x
Answer: x = 4/3
Step-by-step explanation: