[tex]\textit{binomial expanded }2^{nd}\textit{ term for}\qquad (x+4y)^6\qquad \begin{cases} \stackrel{\textit{2nd term}}{k=1}\\ n=6 \end{cases} \\\\ \stackrel{\stackrel{coefficient}{\downarrow }}{\left(\cfrac{6!}{1!(6-1)!}\right)} \qquad \stackrel{\stackrel{\textit{first term factor}}{\downarrow }}{\left( x \right)^{6-1}} \qquad \stackrel{\stackrel{\textit{second term factor}}{\downarrow }}{\left( 4y\right)^1}\qquad \implies 6(x)^5(4y)^1\implies 24x^5y[/tex]
Find the area of the figure.
Answer:384cm²
Step-by-step explanation:
first find the area of the parallelogram
bh
b=24
h=7.5
24×7.5=180
second find the area of a rectangle
lw
l=24
w=8.5
24×8.5=204
add the areas together
204+180=384cm²
The quotient of a number and thirty-six is one-nineth
Answer:
n=4
Step-by-step explanation:
[tex]\frac{36}{9}[/tex]=n
The center of the circle is drawn in an isosceles triangle with a height ratio of 12: 5, the side is equal to 30 cm. Find the AC
Answer:
25cm
Step-by-step explanation:
**see attached diagram**
Let BH = h (height)
OH = radius r = (5/17)h ⇒ h = (17/5)r
Area ∆ABC = 1/2 × base × height = 1/2 x AC x h
substituting h = (17/5)r: = 1/2 x AC x (17/5)r
= 17/10 × AC × r
We can split the isosceles triangle into three separate triangles indicated by the red lines on the diagram attached. Because the radius always meets a tangent (points E, D and H) at a right angle, the area of each triangle will be the length of the side multiplied by the radius of the circle:
Area ∆BOC = Area ∆BOA = 1/2 × 30 × r = 15r
Area ∆AOC = 1/2 × AC × r = 1/2 × AC × r
Therefore, area ∆ABC = ∆AOC + ∆BOC + ∆BOA
=1/2 (AC)r + 15r + 15r
=1/2 (AC)r + 30r
Now we have 2 different equations for the area of the isosceles triangle ABC. Equate both equations and solve to find AC:
Area ∆ABC = Area ∆ABC
17/10 (AC)r = 1/2 (AC)r + 30r
Divide both sides by r: 17/10 (AC) = 1/2 (AC) + 30
Collect & combine like terms: 6/5 (AC) = 30
Divide by 6/5: AC = 25 cm
Question 4 of 10
For the x-values 1, 2, 3, and so on, the y-values of a function form an
arithmetic sequence that decreases in value. What type of function is it?
O
A. Exponential growth
O B. Decreasing linear
O c. Exponential decay
C.
O D. Increasing linear
Answer:
B. Decreasing linearStep-by-step explanation:
Arithmetic sequence has a linear behavior since its common difference is the slope of the line.
If y-values decrease as x-values increase then this is a decreasing function.
Correct choice is B
Answer:
Decreasing linear
Step-by-step explanation:
As x values like 1,2,3.. are decreasing with respect to y hence it's decreasing function
Also
Arithmetic progression is linear hence it's decreasing linear
If a t-shirt had a 15% discount, and the original cost of the shirt was $19.99, how much would you have to pay for the shirt?
Please explain this is a bell ringer
Answer:
16.99
Step-by-step explanation:
What is 23/100 + 7/10
Answer:
93/100
Step-by-step explanation:
23/100 + 7/10
=> 23/100 + 70/100
=> 93/100
Answer and Step-by-step explanation:
First, before you add and solve, you need to make both denominators the same. So, multiply the numerator and denominator of 7/10 by 10 to get: 70/100. Now you should have:
23 + 70
100 100
Simply add the numerators to get 93/100. This cannot be simplified any further, so the final answer is:
93
100
I hope this helps.
Send help...I know what to do but like...
Answer:
a=-4,000m+39,000
Step-by-step explanation:
substitute the 4 in for m to do -4000 x 4 = -16000
-16000+39000 = 23000
find the following quotient 3 divided by 1107
Answer:
0.0027100271
Step-by-step explanation:
Answer:
369 and the remainder is 0
Step-by-step explanation:
Solve for x by finding the missing side of the triangle. Round your answer to the
nearest tenth.
12
28
х
Answer:
x ≈ 10.6
Step-by-step explanation:
The hypotenuse and the side adjacent to the angle are the ones marked on the diagram. The relation with the angle is ...
Cos = Adjacent/Hypotenuse
cos(28°) = x/12 . . . . . . . . . use the given values
x = 12·cos(28°) ≈ 10.6 . . . multiply by 12
For a ride on a rental scooter, John paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for John's ride was $19.04 . For how many minutes did John ride the scooter?
Answer:
163 mins
Step-by-step explanation:
6 + .08x = 19.04
x is the no of minutes
.08x = 13.04
x = 163mins
Huiling has sonme 20-cent coins and 50-cent coins. She has 4 times as many 20-cent coins as 50-cent coins. She has a total of $39. How many coins does she have altogether?
Answer: 150
Step-by-step explanation:
A salesperson sells $2900 in merchandise and earns a commission of $522. Find the commission rate. Write your answer as a percentage.
Answer:
18%
Step-by-step explanation:
Divide the commission by the amount sold for that commission:
522 / 2900 =0.18
Convert to percentage:
0.18*100=18
The product of 9 and a number decreased
by ten in an algebraic formula
Answer:
9n -10
Step-by-step explanation:
If n represents the number, the product of the number and 9 is 9n. That value decreased by 10 is ...
9n -10
_____
Additional comment
The English expression is ambiguous in that we cannot tell if the number is decreased by 10 before becoming part of the product (9(n-10)), or if the correct interpretation is the one shown above. The order of operations is used as a guide, telling us that the multiplication is done before the subtraction since there is no indication of grouping.
Jenna scored 5 out of 9 penalties kicks. Estimate the percentage of penalty kicks she got.
Answer:
55.56%
Step-by-step explanation:
5/9 =.55555
.55555x100 = 55.555
rounded to 55.56
What percentage of all students prefer hot dogs?
Once sales tax is included, an $89 canoe ends up costing $97.90. What is the sales tax percentage?
Answer:
10%
Step-by-step explanation:
First, 97.90-89=8.90
8.90/89 = x/100
8.90 x 100 = 890
890/89=10%
Check Answer:
89 x 10%=8.90
89+8.90= 97.90
Therefore, the sales tax percentage is 10%
Use the distributive property to expand (3x + 4)(x + 1). Then select the simplified
expression.
a) 3x^2 + 7x - 4
b) 3x^2 - 7x + 4
c) 3x^2 + 7x + 4
d) 3x^2 - 7x - 4
What is the slope of the line that passes through the points (2, 3) and (6, 8)?
Answer:
[tex]s = y2 - y1 \div x2 - x1 \\ (8 - 3) \div (6 - 2) \\ 5 \div 4[/tex]
5÷4=1.25
Answer:
1.25
Step-by-step explanation:
slope = y2 - y1
-----------
x2 - x1
8 - 3
‐------
6 - 2
5/4
1.25
4+f=-10 solve equation
Answer:
f=-14
Step-by-step explanation:
subtract 4 on both sides
There are 23 pastries. They need to be shared equally between 7 people. How many pastries does each person get? Write your answer as a mixed number.
Remember, your remainder becomes the fraction.
Answer:
3 [tex]\frac{2}{7}[/tex] pastries
Step-by-step explanation:
Amount to be shared / number of people sharing
23 / 7
To simplify easily in our heads, we can take 23 and subtract 7. That then becomes a 1. Subtract 7 again, it becomes a 2. We can do this until we have taken all of the wholes (equivalent to 1) out of 23/7. The math for this is shown below.
[tex]\frac{23}{7} =\frac{7 +7 +7+2}{7} =3\frac{2}{7}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
(05.01) Which statement best describes the area of the triangle shown below?
Answer:
A
Step-by-step explanation:
Area of a triangle:
[tex]A=\frac{b*h}{2}[/tex]
In our case:
b=4
h=2
Plug in what we know:
[tex]A=\frac{(4)(2)}{2} \\A=4units[/tex]
Find the matching solution:
A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units
X B.) it is twice the area of a rectangle of length 4 units and width two units
X C.) it is 1/2 the area of a square of side length 4 units
X D.) it is twice the area of a square of side length 4 units
CHALLENGE PROBLEM Danny's Department Store advertises savings of
45% to 51% off women's fall collections. Items with original prices of
$44.00 to $152.00 are now $14.95 to $76.00. Use the percent paid to
determine whether this advertisement is correct.
Discount are used to reduce the costs of items
The percent paid to determine the advertisement is incorrect
How to determine the correct percentageThe initial prices are given as: $44.00 to $152.00
And the discount is: 45% to 51%
At a discount of 45%, the price of the items would be:
[tex]Price = \$44.00 * (1 - 45\%)[/tex]
[tex]Price = \$24.2[/tex]
[tex]Price_2 = \$152.00 * (1 - 45\%)[/tex]
[tex]Price_2 = \$83.6[/tex]
At a discount of 51%, the price of the items would be:
[tex]Price = \$44.00 * (1 - 51\%)[/tex]
[tex]Price = \$21.56[/tex]
[tex]Price_2 = \$152.00 * (1 - 51\%)[/tex]
[tex]Price_2 = \$74.48[/tex]
The calculates prices show that the percent paid to determine the advertisement is incorrect
Read more about discounts at:
https://brainly.com/question/23103804
How do you determine what side of a graph should be x and what side is y when graphing a scatterplot in linear regression?? For instance, in the problem below:
(screen shot attached)
Answer:
y will be the dependent variable, and x will be the independent variable.
So y is affected by x.
Regarding the problem you attached, consider if IQ affects job performance, or if job performance affects IQ.
I would say that IQ may affect job performance (as job performance does not affect IQ), so in this case x will be IQ and y will be job performance.
When data is presented in tables, it is usual for the x values to be on the left and the y values to be on the right (though, not in every case, of course!).
What the answer to find the area of the parallelogram
Consider the function f(x)=2x2+7x−30.
What are the zeros of the function?
Answer:
Zeroes are: (-6, 0) and (2.5, 0)
x= -6 & x= 2.5
Step-by-step explanation:
I recommend using desmos for graphing problems!
Amata mixes 2 parts black paint with 3 parts white paint to make 90 mL of gray paint. How much white paint does Amata use to make the gray paint?
A 18 mL
B 30 mL
C 45 mL
D 54 mL
José chose A as the correct answer. How might he have gotten that answer?
Answer:
is 18 because 6x3 is 18 ok
Someone help show me how to divide it 12 is 25% of what number?
Answer:
Step-by-step explanation:
12 X 25/100
6X 25/50
3x25/25
75/25= 3
The temperature at the bottom of a mountain was 8°C and the temperature at the top was 26°C .Find the difference between the temperatures and find the mean of the two temperatures
Answer:
Difference: 18° C
Mean: 17° C
Step-by-step explanation:
Difference means to subtract.
26 - 8 = 18° C
Mean is the average of the two temperatures. To find average, add the two temperatures together, then divide the answer by two since there are two numbers being added.
26 + 8 = 34
34 ÷ 2 = 17° C
15x63+43-536+74-635+563
Answer: 545
Step-by-step explanation:
Answer:
454
Step-by-step explanation:
Hope This Helps
Have A Great Day
A circle is an assortment of focuses which are all on the periphery of the circle. Assuming that you use polynomial math and (x-h)^2 + (y-k)^2 = r^2 and the data contained in the directions (x,y) of every city, you can track down h, k and r. Then, at that point, r is the (equivalent) distance between every city and the focal point of the circle, where the new pinnacle will be assembled.
How would you make this construction to ensure that the location of the cities lie exactly on the circle?
Answer:
I don't understand the question
Answer: This is really hard I don't know
Step-by-step explanation:
