Answers
Answer:
B
Step-by-step explanation:
The question can be written is
5^x = 75
Now take the log of both sides.
log(5x) = log(75) Bring the x outside the brackets
x log(5) = log(75) Divide by log 5
x = log(75)/log(5)
log 75 = 1.8751
log 5 = .8990
x = 1.8751/.8990 = 2.6826
Answer:
(b) 2.68
Step-by-step explanation:
Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.
__
Other ways to look at the problem
If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.
__
The rules of logarithms let you rewrite the given expression as ...
log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2
The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.
Related Questions
The number of pages that Allen, Kevin, Roneisha, and Ben can read in a day is shown below.
Allen read 15% of his 56-page book.
Kevin read 12% of his 64-page book.
Roneisha read 16% of his 42-page book.
Ben read 10% of his 72-page book.
Who can read the greatest number of pages in a day?
Kevin
Allen
Roneisha
Ben
Answers
Answer:
allen
Step-by-step explanation:
What is the equation of the line that passes through the point (6,-2) and has a slope of -3/2
Answers
Let's use the point-slope formula to write the equation of this line.
The point-slope formula is y - y₁ = m(x - x₁).
In the formula, x₁ and y₁ are points and the m is our slope
Now let's substitute.
y + 2 = -3/2(x - 6).
Notice that I put y + 2 above since y - (-2) means y + 2.
Now distribute the -3/2 through the parentheses.
This gives us -3/2x + 9.
Bring down your y + 2 and we have y + 2 = -3/2x + 9.
To put this in standard form, we need to multiply both
sides by 2 because we can't have any fractions.
This gives us 2y + 4 = -3x + 18.
Now move the +4 to the right by subtracting
4 from each side to get 2y = -3x + 14.
Now move your x term to the right by adding 3x to both sides.
So our final answer reads 3x + 2y = 14.
Please please please help I cannot figure this problem out
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Answers
Answer:
45 mph = x
Step-by-step explanation:
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Distance (D) = Rate (R) * Time (T)
For Car A:
D = 30T {Eqn 1}
For Car B:
The Distance D and the time T is the same as for Car A
But, unlike Car A, Car B travels at two different rates. It travels at 20mph for a time T1. Then it passes Car A and travels at a rate of x for a period of time T2.
D = (20T1) + (x * T2)
Note that T2 must equal the total time T minus T1, so
D = (20T1) + (x * (T - T1)) {Eqn2}
Substitute Eqn 1 into Enq 2 : 30T = 20T1 + xT - xT1
Rewrite as: 30T = 20T1 + x(T-T1) {Eqn 3}
At what point do the two cars pass one another?
Car A travels 30T1 = D1
Car B is traveling in the opposite direction at 20T1 = D2
D2 = D - D1 (where D is the total circular length of the track)
Substituting, 20T1 = D - 30T1. Or 50T1 = D {Eqn 4}
Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4
D = 30T = 50T1
30T = 50T1
(30/50)T = T1
T1 = (3/5)T {Eqn 5}
Now substitute Eqn 5 into Eqn 3
30T = 20T1 + x (T-T1)
30T = 20(3/5)T+ x (T - 3/5 T)
30T = 12T + xT(2/5)
18T = (2/5)x
(5/2)18 = x
45 mph = x
Recall that x is the speed that Car B must travel after it passes Car A.
solve please 9²=97. is the answer rational or irrational?
Answers
Answer:
I got you, 81 = 97 or 81, is a rational number.
Step-by-step explanation:
A rational number, denoted by Q is a number which can be written in the form. 81 can be expressed as 811 where both 81 and 1 are integers.
Write
6
1
2
as an improper fraction.
Answers
Answer:
13/2
Step-by-step explanation:
you do 6*2=12+1=13 which gives ya 13/2
you keep the denominator
Pete has 5 marbles . Jay has a number of marbles that is two more than 5 . How many marbles does jay have?
Answers
Answer:
The answer is 7
Step-by-step explanation:
Answer:
7 marbles
Step-by-step explanation:
You would put five first because that's how much marbles pete had and for jay you just add a 2.
5+2=7
Hope this helps:)
A population has mean and standard deviation . Find and for samples of size . Round your answers to one decimal place if needed.
Answers
Answer:
μx = 17
σx = 2.2
Step-by-step explanation:
See attachment for full question.
Given:
μ = 17
σ = 22
[tex]n = 100\σ = 22[/tex]
Required
Determine (i) μx and (ii) σx
Solving (i): μx
The mean of a sample means is calculated as thus:
μx = μ
Hence:
μx = 17
Solving (ii): σx
σx = σ/√n
So, we have:
σx = 22/√100
σx = 22/10
σx = 2.2
which two integers is the irrational number √77 between
Answers
Answer:
send me your disc ill help
Step-by-step explanation:
Write a verbal expression for 73
Answers
Answer:
seventy-three
Step-by-step explanation:
Kevin used 7/8 of a 5 gallon bucket of paint to paint four rectangular walls that are all the same area how much paint did Kevin use on each wall
Answers
Answer with step-by-step explanation:
First, we have to find out how much paint Kevin used. We can write the equation as the following; 5/1 × 7/8 = 4 3/8. Now, we divide 4 3/8 by 4 to calculate how much paint will be used for each wall. 4 3/8 ÷ 4 = 35/32. So to finalize, Kevin used 35/32 gallons to paint each wall.
Hope this helped! (brainliest please)
Answer:
1 3/32 gallons
Step-by-step explanation:
This is 35/32 simplified which 35/32 simplified is the real answer!
Hope this helped :)
Which statement describes a series of transformationsthat would show that figureA is congruent to figure B
Answers
Answer:d
Step-by-step explanation: d
Dwellings Elevation (m)
Robin's nest 2.6
Groundhog burrow -14
(a) Plot and label the elevation of each dwelling on a vertical number line.
(b) Calculate the vertical distance between Robin’s net and the Groundhog Burrow by subtracting
Answers
Step-by-step explanation:
The nest is at 2.6 m, and the dwelling is at -14 m. So the vertical distance is:
2.6 m − (-14 m) = 16.6 m
Solve for x: 3x − 24 = 81
fifty-seven over three
one hundred five over three
57
105
Answers
Answer: one hundred and five over three
Step-by-step explanation:
Answer: 57 i did the test
Step-by-step explanation:
Raina runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64
minutes?
Answers
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}[/tex]
80x = 448
x = 5.6 miles
At an argheological site, the remains of two ancient step pyramids are congruent. If ABCD=EFGH, find m/_EHG.
Answers
Answer:
m∠EHG = 68
Step-by-step explanation:
If the two ancient step pyramids are congruent,
ABCD ≅ EFGH
All the angles and sides of the two pyramids will be congruent.
By the property of congruence,
Base angles of both the pyramids will be congruent.
m∠ADC = m∠EHG = 68°
Therefore, m∠EHG = 68 will be the answer.
The amount of money earned on a job is directly proportional to the number of hours worked.If $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
Answers
Answer:
$135
Step-by-step explanation:
first divide 36 by 8
gives you how much you earn for one hour
36/8=4.5
then multiply
4.5 by amount of hours worked
so 4.5*30=135
The amount of money earned on a job for 30 hours is $135.
The amount of money earned on a job is directly proportional to the number of hours worked.
The amount of money earned for 8 hours of work is $36.
We need to determine the amount earned for 30 hours of work.
Let us determine the amount earned per hour.
Thus,
[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]
Therefore, the amount earned per hour is $4.5.
Now, multiply by 30 to get the amount earned for 30 hours.
Thus, the amount of money earned on a job for 30 hours is $135.
To know more about it, please refer to the link:
https://brainly.com/question/2146068
If a decorative sign in the form of a circle has a diameter of 10 feet what is the area of the sign
Answers
HELP PLEASE!!!!!! POINTS WILL BE GIVEN!!
1. It is impossible to buy a negative number of TV ads. Write an
inequality for this constraint.
2. It is impossible to buy a negative number of magazine ads. Write an
inequality for this constraint.
Information about project:
TV ads cost $600 per airing.
Magazine ads cost $1200 per issue.
You total advertising budget is $9,000.
Answers
Answer:
You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused
Step-by-step explanation:
10 x 10 in exponential form
Answers
Answer:
10^2
Step-by-step explanation:
Answer:
10²
Step-by-step explanation:
There are 2 "10's" being multiplied.
The length of each side of a square wooden box
Answers
Answer:
[tex](8x^2)^3\\= 512x^6[/tex]
You have to multiply the whole equation by cubed, since the parenthesis applies for the entire equation.
Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.
Answers
Answer:
C is the correct answer
An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each student get? Write the answer as a mixed number.
Answers
Answer:
Step-by-step explanation:
Men have XYâ (or YX) chromosomes and women have XX chromosomes.â X-linked recessive genetic diseasesâ (such as juvenileâ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercaseâ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.
Required:
a. If a father has the defective x chromosome and the mother hasgood XX chromosomes, what is the probability that a son willinherit the disease?
b. If a father has the defective x chromosome and the mother asgood XX chromosomes, what is the probability that a daughter willinherit the disease?
c. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
d. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
Answers
Answer:
A) 0
B) 0
C) 0
D) 0.5
Step-by-step explanation:
We are told that Men have XY (or YX) chromosomes and women have XX chromosomes
A) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the son is;
{YX, YX}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 0/2 = 0
B) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the daughter is;
{xX, xX}
The daughter will have the disease only if it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
C) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
Outcome for daughter is {xX, XX}
The daughter will have the disease it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
D) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
The male outcome is;
{XY, xY}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 1/2 = 0.5
The map of a biking trail is drawn on a coordinate grid.
The trail starts at P(−3, 2) and goes to Q(1, 2).
It continues from Q to R(1, −1) and then to S(8, −1).
What is the total length (in units) of the biking trail?
A. 11
B. 13
C. 14
D. 16
Answers
Answer:
11 units
Step-by-step explanation:
-3-1 = -4 = 4
8-1=7
4+7 = 11
1. whats the midpoint between (7,3) and (-3,-1)
Answers
Answer:
(2, 1 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then
midpoint = ( [tex]\frac{7-3}{2}[/tex], [tex]\frac{3-1}{2}[/tex] ) = ( [tex]\frac{4}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (2, 1 )
The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce
Answers
Answer:
They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.
Step-by-step explanation:
12-ounce
regular = 65%
mild = 35%
extra sharp zesty blend = 75%
extra sharp mild = 25%
8,100 mild for = $1.30
3,500 extra sharp = $1.50
cost blend and package = $0.30
regular sold = $1.8
zesty = $2.10
first we calculate the cost of each product
conversion Of ounces to pounds:
1 pound = 16 ounces
regular cost:
12/16 pounds x 65% mild x $1.30
= 0.63375
12/16 pounds x 35% sharp x $1.50
= 0.39375
+ blend and package $0.30
total = $1.3275
contribution: $1.8 – $1.3275
= $0,4725
zesty cost:
12/16 pounds x 75% mild x $1.30
= 0.73125
12/16 pounds x 25% sharp x $1.50
= 0.28125
+ blend and package 0.30
total $1,3125
contribution: $2.10 – $1.3125
= $0,7875
to maximize profit:
profit = $0.4725Regular + $0.7875zetzy
adding the constraint:
mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100
and
sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100
contribution generated by each product/pound:
Regular Zesty
CM $ 0.47250 $ 0.47250
Constrain resource
( pounds of mild) 0.48750 0.56250
CM per constrain $ 0.9692 $ 1.4000
Constrain resource
( pounds of sharp) 0.26250 0.18750
CM per constrain $ 1.80 $ 4.20
As zesty is better we produce as much as we can:
8,100 pounts / 0.5625 per cheese spreads: 14,400
check for possibilities of other constraint:
14,400 zesty packages x 0.1875 pounds each = 2,700 pounds
because it’s possible we only produce zetsy
profit = $0.4725 (0) + $0.7875 (14,400)
profit = $ 11,340
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which
integer represents the total number of yards at the end of the first four plays?
O 3
O0
O9
O18
Answers
Answer:
the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0
Step-by-step explanation:
(02.02)
Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the
measure of angle A'? (4 points)
95 degrees
50 degrees
O 45 degrees
180 degrees
PLS HELP
Answers
Work out the value(3^2)^2 x (10^3)^2
Answers
Answer:
81,000,000
Step-by-step explanation:
(3²)² × (10³)²
(9)² × (1000)²
81 × 1000000
81,000,000
Answer:
1000081
Step-by-step explanation:
=3^6+10^6
=81+1,000,000
Answers:
A. x=8
B. x= square root of 20
C. x=4
D. x= square root of 34
Answers
Answer:
C - x=4
Step-by-step explanation:
The formula is a^2+b^2=c^2