Answer:
B
Step-by-step explanation:
Consider the following polynomial.
2y9−y6+2+7y10
Identify the degree.
Answer:
degree- 10
Step-by-step explanation:
The degree is the largest exponent on the variable.
someone please help me asnwer this!!
Answer:
okokokokokoo9i876t5rew
Step-by-step explanation:
4s3a468
Remember to do the opposite operation of what you see in the equation.
4x=16
x=16/4=4 is the answer if u need any explanation please comment
hope it helps
Answer:
x=4
Step-by-step explanation:
4x = 16
Divide each side by 4:
x=4
A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nickels and how many dimes are in the jar?
Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
4. Determine the volume of the eraser below. 3 in 1.5 in eraser 1 in
Answer:
volume = 4.5 in³
Step-by-step explanation:
V = L x W x H
V = 3 x 1.5 x 1 = 4.5
10 points!!!!!!! Plssssss helpppppp
Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6
Answer:
x-axis = [tex]\frac{9\pi }{2}[/tex]
y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Line x =3 : [tex]\frac{44\sqrt{3} }{5} \pi[/tex]
Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
Step-by-step explanation:
Given lines : y = √x
y = 0
x = 3
To determine the volumes generated we will use the disk method for each of the lines,
attached below is the detailed solution for line x =3 , same procedure will be repeated for each value of x and y to obtain the given results
The volume generated ( x axis )
= [tex]\frac{9\pi }{2}[/tex]
volume generated ( y _axis )
= [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Volume about x = 3
= [tex]\frac{44\sqrt{3}\pi }{5}[/tex]
Volume about x = 6
= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
Just look at the pic for the question
Answer: C
Step-by-step explanation:
is the table linear or not
Answer:
No, the table is not linear.
Step-by-step explanation:
Between the x and y there has to be a constant rate. There is no constant rate.
8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.
NEED IT ASAP
Answer:
[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]
Step-by-step explanation:
Since we are given the central angle in degrees, we should use the following formula for sector area.
[tex]A= \frac {\theta}{360}* \pi r^2[/tex]
The angle is 42 degrees and the radius is 3 inches. Therefore,
[tex]\theta= 42 \\r=3 \ in[/tex]
[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]
Solve the exponent.
(3 in)²= 3 in*3in = 9 in²[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]
Multiply all three numbers together.
[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]
[tex]A=3.29867228627 \ in^2[/tex]
Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]A \approx 3.3 \ in^2[/tex]
The area of the sector is approximately 3.3 square inches.
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
meters
3
Answer:
1728
Step-by-step explanation:
if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.
Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem
Answer:
The t-distribution is used, as we have the standard deviation of the sample.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.
The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Matteo has &400 in his saving account. on average he spends $10 per week on buying apps. Luca has $200 in his savings account. he is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer:
8 weeks
Step-by-step explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks
Find two equivalent fractions
3/2
Answer:
4/6 8/12
Step-by-step explanation:
This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.
Answer:
the answer is 5/6
Step-by-step explanation:
1/2 + 1/3
1 =3 + 2=1 5
x
-- + --- = ---
2 x 3 = 6
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.
HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!
Answer:
12.5
Step-by-step explanation:
u put the decimal at the end of 25 then u times it by 50 and there u get ur answer
hope this helps :D
2+3i / 1-4i simplify
Answer:
=2−i
Step-by-step explanation:
Hope this helps :)
BRAINLIEST PLSSS I HAVE A LITTLE BIT POINTS :|
Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.
Answer:
a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.
According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.
I corrected to 1.2 because it is what makes sense considering the questions.
This means that [tex]\mu = 15, \sigma = 1.2[/tex]
a. Find the standard score associated with a gestation period of 13.8 months
This is Z when X = 13.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13.8 - 15}{1.2}[/tex]
[tex]Z = -1[/tex]
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.
The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.
So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.
c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?
Let's find the z-score
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 15}{1.2}[/tex]
[tex]Z = 5[/tex]
Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.
A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2
Answer:
42 ft 2 is the closest answer I got
Please simplify the following trigonometric identity.
[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]
Examining the question:
We are given the expression:
[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]
We know from Basic trigonometry that:
[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]
[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]
Simplifying the expression:
Replacing these values in the given expression, we get:
[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]
Since the denominator of both the values in the denominator is the same:
[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]
We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:
[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]
and we are done!
Answer:
cos a
---------------------
1 -sin (a)
Step-by-step explanation:
We know that sec a = 1/ cos (a) and tan a = sin (a) / cos (a)
1
---------------------
1/ cos (a) -sin (a) / cos (a)
Multiply the top and bottom by cos (a)
1* cos a
---------------------
( 1/ cos (a) -sin (a) / cos (a)) * cos a
cos a
---------------------
1 -sin (a)
NEED MAJOR HELP PLEASE
Answer:
∠ BDC = 30°
Step-by-step explanation:
The angle on the circle is half the measure of the central angle subtended by the arc BC
∠ BDC = [tex]\frac{1}{2}[/tex] × 60° = 30°
solve this for me please
Please Help Quickly :)
The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?
A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units
I will gve you brainliest if it is the correct awnser and if you help me quickly
Answer:
Step-by-step explanation:
2x * 2x = 4x^2 and -11 * 11 = -121
Which number is a rational number?
36
16
6
6
36
6
16
Answer:
√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational
Gavin plans to repaint some classroom bookcases. He has 3 gallons of paint. All of
the bookcases are the same size and each requires gallon of paint. How many
bookcases will he be able to paint?
3/4
Answer:
3 bookcases
Step-by-step explanation:
What is missing in the percent what is number 45 of 80
Answer:
35
Step-by-step explanation:
are Equilateral triangles always acute triangles.
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
Which number produces a rational number when added to 1/5
Answer: 2/3
Step-by-step explanation:
Answer: -2/3
Step-by-step explanation:
Hope This Help?
Please Mark Me brainly!
What is 7 x 5/8 because I’m so lost
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 4.375
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
35/8 or 4 3/8
Step-by-step explanation:
Step 1. Convert the expression
7 can also be seen as 7/1
Step 2. Multiply the fractions
7/1 × 5/8
you do this step by multiplying the numerators together for your top number, and your denominators together for your bottom number.
7×5= 35 (numerator)
1×8=8 (denominator)
the answer is 35/8 or 4 3/8 as a mixed fraction.
please help it due rn
Answer:
B) (1/2, -8)
Step-by-step explanation:
(1, -6) and (0, -10)
Midpoint formula:
((x1+x2)/2, (y1+y2)/2)
Solving for x:
(x1+x2)/2
(1 + 0)/2
1/2
Solving for y:
(y1+y2)/2
(-6-10)/2
(-16)/2
-8
