Answer:
[tex]10^{2}[/tex]
Step-by-step explanation:
[tex]10^{6} /10^{4}[/tex]
=> [tex]10^{2}[/tex]
Proof,
10 * 10 * 10 * 10 * 10 * 10 / 10 * 10 * 10 * 10
4 ten's cancel each other, leaving behind 2 ten's, and,
10 * 10 is the same thing as [tex]10^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
given cosx = 60/61, find sin2x
Recall that for all x,
cos²(x) + sin²(x) = 1
So we have
sin(x) = ± √(1 - (60/61)²) = ± 11/61
Recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
From here, we get
sin(2x) = 2 (± 11/61) (60/61) = ± 1320/3721
In case you meant to ask about sin²(x), we get
sin²(x) = 1 - cos²(x) = 121/3721
Danny bought 10 plastic disas. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?
Answer:
9
Step-by-step explanation:
Answer:
9 ounces
Step-by-step explanation:
In this equation, we are given two things. We know how much each disc weighs (.9 ounces) and we know how many discs Danny bought (10 discs).
To figure out how much the discs weigh, we must do the following steps:
We first step up the equation: 10 discs times .9 ounces
Then, we multiply the numbers to get our final answer: 10(.9 ounces)= 9 ounces
The 10 discs weigh a total of 9 ounces.
whats the answer to
9(w-6)=-36
w = 2
Step-by-step explanation:Hi there !
9(w - 6) = - 36
9w - 54 = - 36
9w = 54 - 36
9w = 18
w = 18 : 9
w = 2
Good luck !
what is 4^5 written in expanded form?
A. 4+4+4+4+4
b. 4.4.4.4.4.4.
c.5+5+5+5+5
d. 5.5.5.5.
Answer:B
Step-by-step explanation:
I took the quiz March 2021 end it can’t be d. Because is the exponent so it’s me because for is the base
Lisa mixed 1 part of apple juice and 2 parts of vanilla yogurt to make a smoothie. How many parts of apple juice did Lisa mix with each part of vanilla yogurt?
one over three
two over five
one over two
two over one
Answer:
1/3
Step-by-step explanation:
There are 1+2=3 total and since there is 1 apple juice it is 1/3
Answer:
1/3
Step-by-step explanation:
Neko made a triangular flag shown below. He wanted to attach it to the stick and then trim off the extra fabric so the flag would form an isosceles
triangle. By how many degrees was he off when he attached the triangle to the stick?
32
118
Ob
His flag ended up with base angles of 86 and 62. so the stick was 12 out of alignment from the correct position (both angles
74°).
His flag ended up with base angles of 86° and 52° so the stick was 22° out of alignment from the correct position (both angles
74°).
His flag ended up with base angles of 289 and 629, so the stick was 34 out of alignment from the correct position (both angles
62").
His flag ended up with base angles of 28 and 62° so the stick was 34 out of alignment from the correct position (both angles
34)
Od
Answer:
a. His flag ended up with base angles of 86° and 62°. so the stick was 12° out of alignment from the correct position (both angles
74°).
Step-by-step explanation:
First, let's calculate the measures of the base of the angles Neko ended up with.
The measure of the angle adjacent to the exterior angle = 180° - 118° = 62°
The measure of the other base = 180° - (62° + 32°) = 180° - 94° = 86°
So, Neko ended up with 86° and 62°.
To make a flag that is in the form of an isosceles ∆, it means the measure of the two bases most be equal to each other.
Since he measures the tip of the flag to be 32°, the measure of the remaining two equal bases ought to be (180 - 32)/2 = 148/2 = 74° each.
The difference between 74° and what he ended up with = 86 - 74 = 12°.
74 - 62 = 12°.
Therefore, the stick was 12° out of alignment.
The right option is a.
Jamal hiked on two trails. The first trail was 8 1/3 miles long, and the second trail was 1 3/5 time as long as the first trail. How many miles did Jamal hike ? Enter as a mixed number in simplest form
Answer:9 14/15
Step-by-step explanation:
hope that helped
The ratio of hydrogen to oxygen in a plant sample is 18:12 the sample has 42 units of oxygen how much hydrogen does the sample have
A 28
B 30
C 48
D 63
The population standard deviation for the heights of dogs, in inches, in a city is 7.5 inches. If we want to be 90% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken
Answer: 39
Step-by-step explanation:
Formula of sample size :
[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]z^c[/tex] = critical z-value for confidence level , [tex]\sigma[/tex] = population standard deviation , E = margin of error.
[tex]\Rightarrow\ n=(\dfrac{1.645\times7.5}{2})^2\\\\\Rightarrow\ n=(6.16875)^2=38.05347\approx39[/tex]
Hence, the minimum sample size that can be taken = 39
How to Solve X-3/8= 7/16
Answer:
x=13/16
Step-by-step explanation:
The question is asking us to isolate the variable x. This means that we need to add -3/8 to both sides of the equation. Because the denominators of the fractions 3/8 and 7/16 are not the same, we need to find a common denominator, which is 16. (So we change 3/8 to 6/16 because the two fractions are equal). Now that we have the fractions 6/16 and 7/16 we can add the two to get x=13/16
If the runner travels 16 miles in 2 hours how many miles will she run in the first hour
Answer:
8 miles in the first hour
Step-by-step explanation:
Divide 16 by 2 to get the average speed of the runner. 16/2=8.
What is the probability a server will refuse to serve alcoholic beverages to exactly 2 minors if he randomly checks the IDs of 5 of the 9 students in the establishment, and 4 of the 9 students are minors?
Answer:
10/21
Step-by-step explanation:
Probability = Expected outcome/total outcome
If he randomly checks the IDs of 5 of the 9 students in the establishment, the total outcome will be expressed as:
9C5 = 9!/4!5!
9C5 = 9×8×7×6×5!/5!×24
9C5 = 9×8×7×6/24
9C5 = 126
Total outcome = 126
For the expected
First we know that 4out of 9 students are minor, and we want to know the probability that exactly 2 are minor, this can be done in 4C2 ways
4C2 = 4!/2!2!
4C2 = 4×3×2/4
4C2 = 6
Also since 4 out of 9 are minor, then 5 are not minor and if out of every 5, exactly two are minor, then 3 are not.
Those not minor can be expressed in 5C3 ways
5C3 = 5!/2!3!
5C3 = 5×4×3!/2×3!
5C3 = 20/2
5C3 = 10
Total expected outcome = 4C2 × 5C3
Total expected outcome= 6×10 = 60
Hence, the probability a server will refuse to serve alcoholic beverages to exactly 2 minors will be;
= 60/126
= 30/63
= 10/21
determine whether the given function is linear or nonlinear. if it is linear determine the equation of the line
Lorena borrowed $1950 to buy books and a tablet for her freshman year of college. She will pay off the loan in 10 months at an annual simple interest rate of 5.75%. How much interest will she be charged and what is the total amount she must pay at the end of the 10 months? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Simple Interest = Principal * Rate * Time/100
Given
Principal (amount borrowed) = $1950
Rate = 5.75%
Time = 10month
Convert time to year
To do that, we will divide the value in months by 12 i.e Time = 10/12
Time = 5/6 years
Substitute into the formula and find the simple interest
SI = (1950 * 5.75*5/6)/100
SI = (1950 * 5.75*5)/600
SI = 56,062.5/600
SI = $93.4375
Hence she will be charged interest of $93.4375
To get the total amount after 10 months, we will use the formula;
Amount = Principal + Interest
Amount = $1950 + $93.4375
Amount = 2,043.4375
Hence she must pay back $2,043.4375 after 10 months
The contents of Dana’s box of muffins are shown. Write each ratio in
three different ways. (Example 1)
5. banana nut muffins to corn muffins
6. corn muffins to total muffins.
5.3:1
6.2:1
hope this is the answer your looking for.....
It takes 47 pounds of seed to completely plant a 7-acre field. How many pounds of seed are needed per acre?
Answer:
6.71428571429 (!!!)
OR
6.71 (Rounded to the nearest hundredth)
Step-by-step explanation:
PLEASE KNOW THAT I AM UNSURE.
I think it is 47 divided by 7, but the answer is very long and unrealistic, so it may be wrong. You could try rounding it to the nearest hundredth, which would be 6.71 pounds. Maybe wait for another answer, because this could be wrong!!
write the number below as a fraction in its simplest form
0.17 recurring
Answer:17/100
Step-by-step explanation:
Answer=8/45
Explaination
=
one approach is algebraically
x
=
0.177777
...
.
.
because one digit recurs multiply by 10 na dthen follow the method below
10x=1.777777777
x
=
0.17777777
Now,
9x=1.6
So,x=1.6/9=16/90
Hence,
x
=
8/
45
=
Explain the steps you would take to find the quotient of 1/3 ÷ 4/3
.
Answer:
1/4
Step-by-step explanation:
rewrite the response: 1/3 times 3/4 (multiply by the reciprocal of the second #)
then multiply both numerators and denominators: 3/12 is what u get from mult.
then u simplify the fraction: 1/4
Answer:
First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
Step-by-step explanation:
Which statement is true?
Louis is filling two 2-gallon buckets with water. The equation y = 0.4x models
the number of gallons of water in the first bucket after x minutes. This graph
shows the number of gallons of water in the second bucket after x minutes.
The second bucket will be completely filled 5 minutes before the
first bucket.
Second Bucket
B
2.0
The first bucket will be completely filled 5 minutes before the
second bucket.
1.75
The second bucket will be completely filled 11 minutes before
the first bucket.
1.5
$ 1.25
minutes before the
Gallons of Water
D
The first bucket will be completely filled
second bucket.
1.0
5 0.75
0.
0.25
1
7
8
5
Time (minutes)
Answer: 100
Step-by-step explanation:
valuable
solve for the variable 4a-9=7a+12
Thanks!!
Answer:
a = - 7
Step-by-step explanation:
Given
4a - 9 = 7a + 12 ( subtract 7a from both sides )
- 3a - 9 = 12 ( add 9 to both sides )
- 3a = 21 ( divide both sides by - 3 )
a = - 7
Answer:
a = -7
Step-by-step explanation:
All Insurance companies charge the same rate for a glven person.
True
False
Answer:
false i think
Step-by-step explanation:
Determine which is the better deal.
Option A- 6 granola bars for $6.48
Option B- 5 granola bars for $5.50
Explain why.
Answer:
option A, because when you get the common denomenator of 30, option A is less than option B by .60 cents
Step-by-step explanation:
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 95% confidence interval for p given that and . Round your answer for the point estimate to two decimal places, and your answers for the margin of error and the confidence interval to three decimal places
Answer:
aşk to your tuition teacher
Put the following equation of a line into slope-intercept form
2x - 2y = 6
Answer:
Y=-2x+3
Step-by-step explanation:
2x-2y=6
2y=-2×+6
y=-2×+6/2
y=-2x+3
The equation of a line into slope-intercept form is y = x - 3
The standard form of an equation in slope-intercept form is expressed using the equation y = mx + b
m is the slope of the line
b is the y-intecept
Given the equation 2x - 2y = 6
Divide through by 2
x - y = 3
-y = -x + 3
Multiply through by -1
-(-y) = -(-x) + (-3)
y = x - 3
Hence the equation of a line into slope-intercept form is y = x - 3
Learn more here: https://brainly.com/question/17003809
Need help ASAP please anybody
Answer:
A
Step-by-step explanation:
The answer to this is A lol
over a long time, cable from acme cable co has a mean strength of 37.5 ksi with a known population standard deviation of 1 ksi. find the probability that a random piece of th ecable has a strength x lower than 36.0 ksi
Answer:
The value is
[tex]P(X < 36) = 0.066807[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 37.5 \ ksi[/tex]
The standard deviation is [tex]\sigma = 1 \ ksi[/tex]
Generally the probability that a random piece of the cable has a strength x lower than 36.0 ksi is mathematically represented as
[tex]P(X < 36) = P(\frac{X - \mu}{ \sigma } < \frac{ 36 - 37.5}{1} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 36) = P(Z < -1.5 )[/tex]
From the z table the probability of [tex](Z < -1.5)[/tex] is
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(X < 36) = 0.066807[/tex]
please help. algebra 1
Answer:
a. 2.84 :)
Step-by-step explanation:
6.92 - 4.08 = 2.84
Lavonda took out a $7,500 loan with an APR of 3.875\% and agreed to pay it back monthly over 6 years
What is her monthly payment?
How much will she pay back in total?
What is the finance charge?
Answer:
Step-by-step explanation:
Given data
principal=$7500
rate= 3.875%= 0.03875
time =6years
The expression for the final amount for a simple interest is
A=p(1+rt)
A=7500(1+0.03875*6)
A=7500(1+0.2325)
A=7500(1.2325)
A=9243.75
$19243.75
1. What is her monthly payment?
given that it is spread over 6 years
there are 12*6 months= 72months
monthly pay=9243.75/72= $128.38
2. How much will she pay back in total?
=$19243.75
3. What is the finance charge?
the finance charge is the interest which is
$19243.75-$7500=$11743.75
Determine the area under the standard normal curve that lies to the left of (a) z= -1.11 (b) z= -1.06 (c) z= -1.13, and (d) z= -1.49
Given f(x)=-2x-5, solve for x when f(x)=3
Answer:
1
Step-by-step explanation:
We know x = 3
2 times 3 is = to 6
5 subtracted from 6 (6-5) = 1