Step-by-step explanation:
log8 64 = a
cut log and base^a
64 = 8^a
8^a = 64
or a = 2
Answer:
[tex]8^a = 64[/tex], which gives [tex]a=2[/tex].
Step-by-step explanation:
When you see [tex]\log_8(64)=a[/tex], think: [tex]a[/tex] is the number such that [tex]8^a = 64[/tex]. Mathematical intuition gives us that [tex]a=2[/tex] immediately, but we can also work this out more methodologically:
[tex]8^a = 64\\(2^3)^a = 2^6\\2^{3a} = 2^6\\3a = 6\\a = 2[/tex]
And this solution suffices.
Which expression is greater than the exact answer to the problem 2789 x 3.875
A 2800 x 4
B 3000 x3
C2700 x 4
D 2800 x 3
hurry quick pls
Answer:
Answer is A
Step-by-step explanation:
when u multiply 2789 x 3.875 u will get 10807.375 so now u have to figure out which answer give a greater amount of number than that, when you try the first answer which is 2800 x 4 u will get 11200 which is greater than the original equation
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y =−5 =−12
Answer:
[tex]7x+2y = -17[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x+3y = -5[/tex]
[tex]5x-y = -12[/tex]
If we want to add these equations, we just need to add x-terms, y-terms and independent terms.
[tex](2x+5x)+(3y-y) = -5-12[/tex]
[tex]7x+2y = -17[/tex]
I hope it helps you!
Answer:
7x + 2y = -17
Step-by-step explanation:
khan academy
A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after:
a. 1 minute?
b. 10 minutes?
c. 60 minutes?
d. 1000 minutes?
e. a very very long time?
Answer and explanation:
1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.
2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.
3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters
4. Zero salt too after bucket leaks
5. Zero salt
10z = 60
step by step solution, please help!
Answer:
if you're trying to find z it equals 6
Step-by-step explanation:
because 60 ÷ 10 = 6
Answer:
divide 10 from z
z is alone
now divide 10 from 60
you get 6
z=6
I kinda suck at explaining stuff but hope that helps
What is the domain of the function f(x)= x^2-16/x-4
Answer:
Step-by-step explanation:
this is a rational function thus the domain is all real numbers except the values which make zero to denominator
hence x-4=0 ;x=4
the domain of that function is R- {4}
Evaluate 9(-2)
What’s the answer for this
Answer:
-18
Step-by-step explanation:
just multiply 9 and -2, and you'll get -18
Find the total surface area of this cone, leaving your answer in terms of pi
Answer:
Surface area = 70π cm²
Step-by-step explanation:
Surface area = πr² + πrl
Surface area = (π × 5 × 5) + (π × 5 × 9)
Surface area = (25π) + (45π)
Surface area = 70π cm²
A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as “Sick” has the disease, while someone listed as “Not Sick” does not. “Tested Positive” means the test indicated the person was sick, and “Tested Negative” means the test indicated they were not sick. The test is believed to be around 99% accurate.
Answer:
Please include the table below and the question
Step-by-step explanation:
how many seconds were in the month of February 2017? and how did you calculate the answer?
Answer:
2419200 seconds
Step-by-step explanation:
this is the answer to your question
what is 0.42 as a percentage
Answer:
42%
Step-by-step explanation
0.42 = 42/100
to find percent you need to find how much is it out of 100
42/100 = 42%. :)
Answer:
42%
Step-by-step explanation:
If you have a hard time determining how to calculate a decimal into a percentage, just move the number to places to the left.
Hope this helped!
Thanks!
Your friend in answering,
~Steve
Find the value of 70% of ₹300
Answer:
70% of 300 is 210
What is the midpoint of the figment joining
-1,-5) and 7, 1
Answer:
mid point={(7-1)/2,(1-5)/2=(3,-2)
3-[tex]\frac{7}{x}[/tex]/x+[tex]\frac{4}{7x}[/tex]
Answer:
your answer would be 21x-49/7x^2+4
Step-by-step explanation:
21 x -49
-----------
7x^2+4
How would you distribute the 3 in the following expression using the distributive property:
3(4+6)
Answer:
multiply 3 by both numbers in the parenthesis (answer is 30)
Step-by-step explanation:
3(4+6) you would do 3*4 and 3*6 so 12 and 18 add them you get 30
could you solve it What is _____+______+______=30 Using 1,3,5,7,9,11,13 ,15 what are the numbers
Answer:
We want to solve:
___ + ___ + ____ = 30
using the numbers:
1, 3, 5, 7, 9, 11, 13, 15.
Now, 30 is an even number.
And the given numbers are all odd.
A random even number is written as:
2*n (where n is an integer)
A random odd number is written as:
2*k + 1 (where k is an integer)
If we add 3 odd numbers, we get:
(2*k + 1) + (2*c + 1) + (2*j + 1) = 2*(k + c + j) + 3
= 2*(k + c + j + 1) + 1
(k + c + j + 1) is an integer, then we can write this as p
then the sum of 3 odd numbers can be written as:
2*p + 1
This means that the sum of 3 odd numers is always an odd number.
Then we can not find 3 odd numbers such that their sum is equal to 30.
if instead, we could use 4 numbers, like:
___ + ___ + ___ + ___ = 30
Then we could select:
15, 1, 5 and 9.
because:
15 + 1 + 5 + 9 = 15 + (1 + 5) + 9 = 15 + 6 + 9 = 15 + (6 + 9) = 15 + 15 = 30
Someone answer right por favor
Answer:
64
Step-by-step explanation:
Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64
Marco has $400. Each week, Marco adds $5 to his bank account.
Select the equation that best represents how much money Marco will save over time. S represents savings and w represents weeks.
w + 400 + 5 = s
400w + 5 = s
5w + 400 = s
5s + 400 = w
PLSS HURRY
Answer:
I'm pretty sure it's 400w+5=s
Step-by-step explanation:
400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings
Thera are 9 players on a baseball team a club has 9 baseball teams how many baseball players are in the club
Answer:
81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9 in each team and theres 9 teams in all
9*9=81
The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 25 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places.
Answer:
45
Step-by-step explanation:
+hhsbsbbsjahsgsbsnkakwhsgevssv
There will be 6 people at Eli's cake party. You want to bake enough cake so that each person you feed will eat at least 1/5 of the cake. What is the minimum number of cakes to bake?
Please put the procedure with operations used. :(
Answer: 2 cakes.
Step-by-step explanation:
There will be a total number of 6 people at Eli's cake party.
You want that each one of these 6 people to eat at least 1/5 of a cake.
Then you need to make, at least, 6 times 1/5 of a cake.
This is equal to:
6*(1/5) of a cake = 6/5 of a cake.
And we can rewrite this as:
(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.
But you can not bake only 1/5 of a cake, we need whole numbers.
Then we need to round up to the next whole number, which is 2.
This means that you need to bake at least 2 cakes.
Peggi gave each of her 4 friends some bows to put in a gift bag. Her Mommie gave each friend 6 more bows. The bags contained a total of 72 bows. How many bows did each friend get?
Answer:
18 I believe
Step-by-step explanation:
72/4
Answer:
each friend got 18 bows
to find how many bows each friend got;
total ÷ amount of friends=
72÷4 = 18
(to find amount she gave her friends individually;
amount each friend got - amount her mom gave them
= 18-6=12)
Will give brainliest
Answer:
its all sides are equal and diagonal make 90° angle.
so, the answer option c.
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
Step-by-step explanation: Speed is distance an object travelled per unit time.
It is represented by letter v and can assume various units.
1) [tex]v=\frac{distance}{time}=\frac{d}{t}[/tex]
[tex]v=\frac{90}{5}[/tex]
v = 18 miles per hour
Her average speed is 18 mph.
2) Rearraging formula for distance:
d = v.t
d = 70 * 4
d = 280 miles
You would travel 280 miles.
3) [tex]v=\frac{d}{t}[/tex]
[tex]v=\frac{315}{6}[/tex]
v = 52.5 mph
My average speed is 52.5 mph.
4) Rearranging formula to determine time:
[tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{210}{90}[/tex]
t = 2.34 hours
It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.
5) The unit change but the way of calculating time is the same.
[tex]t=\frac{2000}{4}[/tex]
t = 500 s
or t = 8.34 minutes
It will take, for an athlete to run 2000m, 8.34 minutes.
6) a) All units must match, so for a speed in mph:
45 minutes is 0.75 hours. Total time is 8.75 hours.
[tex]v=\frac{420}{8.75}[/tex]
v = 560 mph
The average speed is 560 mph.
b) [tex]t=\frac{d}{v}[/tex]
[tex]t=\frac{420}{63}[/tex]
t = 6.67 hours
Sam will take 6.67 hours to covered the distance.
Convert (11/9)n radians to degrees. Do not round.
Answer:
70.028175
Step-by-step explanation:
To convert a radian measurement to a degree measurement, multiply the angle by the conversion ratio.
degrees = radians × (57.29578 or 180/pi)
11/9 rad = 70.028175°
What is the area of the triangle given below?
O A 38 sq. units
B. 35 sq. units
O C. 70 sq. units
D. 19 sq. units
Answer:35
Step-by-step explanation:
Matthew makes a drink using lemonade and orange juice.
210ml of his drink was lemonade
140ml of his drink was orange juice
Rosie makes more of the drink for a party using the same ratio of lemonade to orange juice.
Rosie uses 6 litres of lemonade.
How much orange juice does Rosie use?
Answer: 4
Step-by-step explanation:
Matthew makes a drink using lemonade and orange juice.
210ml of his drink was lemonade
140ml of his drink was orange juice
Based on the above, we can see that the ratio of lemonade to orange juice is 3:2. 70 is a common factor to 210 and 140. 210/70 = 3 while 140/70 = 2.
Therefore, since Rosie uses 6 litres of lemonade, the amount of orange juice that Rosie use will be:
= 6 × 3/2
= 4
Rosie needs 4 litres of orange juice.
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Answer:
The amount is $2367.32 and the interest is $1267.32
Step-by-step explanation:
Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
7. Basic Computation: P-value Corresponding to 1 Value For a Student's dis-
tribution with d.f. = 10 and : = 2.930,
(a) find an interval containing the corresponding P-value for a two-tailed test.
(b) find an interval containing the corresponding P-value for a right-tailed
test.
Answer:
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
Step-by-step explanation:
Given the data in the question;
t = 2.930
df = 10
Test statistics;
Now form the t-distribution table, at df = 10, 2.930 falls between { t=2.764 and t=3.169]
so;
for a two tailed test, corresponding p-value is between: 0.02 and 0.01
For one(right) tailed test, corresponding p-value is between: 0.01 and 0.005
Therefore;
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]