Answer:
steps below
Step-by-step explanation:
5th level of Pascal triangle: 1,5,10,10,5,1
(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵
= 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵ .. (1)
(1-2x)⁵ = 1 - 10x + 40x² - 80x³ + 80x⁴ - 32x⁵ .. (2)
(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2
a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself
a = 160, b = 80, c = 2
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
Find the sin, cod, tan, sec, and cot of the following triangle with the given information.
Answer:
cos o sin
Step-by-step explanation:
Which set of numbers shows one number that is about 20 times greater than the other number?
Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.
Evaluating each set of number :
1.)
[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]
2.)
[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]
3.)
[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]
4.)
[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]
Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D
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The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.
Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical
z
-value to use,
z
c
, is: 1.960.)
( , )
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
What is the length of the segment
Answer:
9 units
Step-by-step explanation:
find dy/dx using implicit differentiation
cos x + sin y = 1
Differentiate both sides with respect to x, using the chain rule for the sine term:
[tex]\cos(x) + \sin(y) = 1[/tex]
[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]
Evaluate 3215.
Enter your answer as a whole number
Answer:
3215
Step-by-step explanation:
There is no explanation
Go and increase you Intelligence
HURRY!!!!
A line with a slope of 5 passes through the points (4,5) and (5,u) What is the value of u?
Answer:
See Below
Step-by-step explanation:
Slope is rise over run.
Rise is the difference in the y values
Run is the difference in the x values.
Rise/Run = 5 (slope)
You have both x values 4 from one point and 5 from the other point so the difference is 1. The Run is equal to 1
So you now have Rise / 1 = 5
The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5. That means the other y value has to be either 10 or 0.
0 will not work because that would make the slope negative since the line would slope downward from left to right.
Based on what you've read, answer the following questions.
1. Laura bought a rectangular rug for her living room. It measures 9 feet long and 8 feet wide. What is the area of her rug?
2. One can of paint will cover an area of 400 square feet. Will one can of paint be enough to cover an exterior brick wall that is 48 feet long and 9 feet high?
3. Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property? (Hint: One acre = 43,560 square feet)
4. The Animal World Safari Park is a rectangular piece of land with an area of 323 square miles. The length of the park is 17 miles. What is its width?
5. Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
We will use the formula Area = length x width to answer the questions.
1. 9 x 8 = 72
2. 48 x 9 = 432, 432 > 400
3. 43560/484 = 90
4. 323/17 = 19
5. √49 = 7
Hope this helps!
Answer:
1. The area is 72 ft².
2. No, one can of paint will not be enough.
3. The width of his property is 90 ft.
4. The width of the park is 19 miles.
5. The length of a side is 7.
Step-by-step explanation:
A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
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Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
On this math problem please help me
Answer:
98.25 M/s
Step-by-step explanation:
Help me this is due tomorrow
Answer:
10.50
Step-by-step explanation:
in total she would have spent 10.50 because 8.75 for the peaches and 1.75 for the ice cream sandwich
are the linear expressions equivalent?
2x-3(1.3x-2.5)=5.9x+7.5
3-2(-2.6x+2.1)=5.2x-1.1
d
Answer:
not equivalent expressions
Step-by-step explanation:
Expand and simplify both expressions
2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis
= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms
= - 7.8x + 15
----------------------------------------
3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis
= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms
= - 2.3
Then the 2 expressions are not equivalent
Answer:
2x-3(1.3x-2.5)=5.9x+7.5
Equivalent Expression3-2(-2.6x+2.1)=5.2x-1.1
Not Equivalent ExpressionStep-by-step explanation:
Solving the first linear expression
2x-3(1.3x-2.5)=5.9x+7.52x-3.9x+7.5=5.9x+7.52x-3.9x-5.9x = 7.5-7.5-7.8x = 0x = 0/-7.8x = 0Thus, we can say that it's an equivalent expression.
Now Solving the second linear expression
3-2(-2.6x+2.1)=5.2x-1.13+5.2x-4.2= 5.2x-1.15.2x-5.2x = -1.1-3+4.20 ≠ 0.1Thus, we can say that it's not an equivalent expression.
5(+25)=875
lets see who will get it right
Answer:
X = 150
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
X=150
Step-by-step explanation:
Giving right answer branleist
Answer:
12
Step-by-step explanation:
Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.
Select all of the number of ways in which a line
and a circle can intersect.
Answer:
0, 1, and 2
This is the answer
Can y’all help me with this question
Answer:
I'm 100% sure it's 50.
Step-by-step explanation:
nick have collection of 80 cars.3/5 of his toys are bus.the rest are cars and bike.the number of cars are the three time the number of bikes.how many cars are there.
Answer:
24 cars
Step-by-step explanation:
out of 80 toys, 3/5 are buses- 80 * 3/5 is 48 so there are 48 buses
80 - 48 is 32, 32 of the rest of the toys are cars and bikes
we know that there are 3 times as many cars than bikes, so to find out how many cars and bikes there we can do 3n + n, where n is the number of bikes it also equals 4n
32 = 4n; n = 8
there are 8 bikes, so there are 24 cars
hey can someone please help me with this
Answer:
no
Step-by-step explanation:
Use simple interest to find the ending balance
Evaluate the expression when a = -3 and c=4. a-3c
Answer:
Step-by-step explanation:
c=1/4(A-3c)
4c = A-3c
7c = A
c = A/7
Please help im so lost Ty btw
Answer:
1) gradient (00) (-2 4) = y2-y1 / 2-1 = 4/-2 = -2 m = -2/1 means = m = -2 (negative slope) 2) gradient y2-y1 / x2-x1 = 3-0 / 2-0 = 3/2 = (1 1/2)/1 m = 1 1/2 (positive slope) we use the formula y-values divided by the change in the x-values. The equation of the gradient each goes like this 1) y = -2x as y is at origin nothing else to add The equation of the gradient each goes like this 2) y = 1 1/2x The equation of the point formula 1) we take the y -y1 = m (x +x 1) = y-0 = -2x (x +0) (as m = -2) y = -2(x +0) and The equation of the point formula 2) y - 0 = m ( x +x1) y - 0 = 1 1/2( x +0) = y = 1 1/2( x +0)
13 + 2(3x − 7) please help
Answer:
6x-1
Step-by-step explanation:
13 + 2(3x − 7)
Distribute
13 + 6x -14
Combine like terms
6x+13-14
6x-1
Answer:
6x - 1
Step-by-step explanation:
Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)
Aviv thinks of two numbers between 6 and 50. The highest common factor of his two numbers is 5. The lowest common multiple of his two numbers is 60. Write down the two numbers that aviv is thinking of.
Answer:
15 and 20.
Step-by-step explanation:
The 2 numbers are both divisible by 5.
Listing numbers whose LCM is 60 and divisible by 5.
20 and 30 :- not this as the HCF is 10.
15 and 20 : - HCF = 5 and LCM = 60.
Aviv is thinking of the numbers 60 and 5.
How to determine the two numbers that aviv is thinking of.Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.
The prime factorization of 60 is \(2^2 \times 3 \times 5\).
Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.
However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.
Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).
So, Aviv is thinking of the numbers 60 and 5.
Learn more about factorization at https://brainly.com/question/10718512
#SPJ3
Directions: Solve each of the following problems. Show your solution. (5 points each)
1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.
Answer:
400=(×+20)× is the equation or
400=×^2+20×
(×+10)= square root of 500
×+10=10 radical 5
final answer -10 + or - 10 radical 5=×
Juna travels 15 mph for 10 hours find the distance piles per hour
Answer:2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Step-by-step explanation:
which company offers the best deal?why?
Answer:
where question？
Step-by-step explanation:
i dont know the question it cant be solve
Answer:
I don't see the question. it cannot be solved