Answer: B. log(25) + log(18)
Step-by-step explanation:
Use the rule for the sum of logs: the log of a product is the sum of the logs, which means log(x) + log(y) = log(xy) if they have the same base.
[tex] log(25 \times 18) \\ by \: \: \: using \: \: \: the \: \: \: following \: \: \: rule \: \: \: of \: \: \: logarithm \\ log(x \times y) = log(x) + log(y) \: \: \: \: we \: \: \: have \\ log(25) + log(18) [/tex]
Answer:B. log (25) + log (18)
Hope it helps.
Do comment if you have any query.
What is the solution to log 8x = 3?
answer : 3/8 or .375
8x=3
divide both sides by 8
x=3/8 or .375
A parallelogram has an 8 inch base if the parallelogram has an area of 64 square inches, what is the height of the parallelogram?
Answer:
8 in
Step-by-step explanation:
The way you get the area of a parellelogram is the same as the way of a rectangle or square.
Answer: 8 in
Step-by-step explanation:
Height = area / base
= 64/8
= 8 inches
Does 40,40 and 100 form a triangle? , Explain
Answer:
Yes because triangles are always 180°. If you add those numbers together you get 180
I need help. How do you get 12.4 as an answer with using these instruction below.
Answer:
There are many solutions.
Here is one of them:
1 x 4 / 10 + 14 - 2 = 12.4
Hope this helps!
:)
Mr. warner is remodeling the square garden in his backyard he expands the Garden by 10 feet along its width the area of the news garden in square feet can be found by expression given below where X is the side length in feet of the Original Square, Garden what does the term 10 X represent
Answer:
incremental area
Step-by-step explanation:
Let width be representd by 'W'
Original Area = W × X
Original Area = WX
New width= W+10
New Area= X(W+10)
= WX + 10X
= Original Area + 10X
Here 10X is the incremental area
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
[tex]A = P(1+r)^t[/tex]
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 3400
r = 5% = 5/100 = 0.05
t = 17 years
Therefore
y = 3400(1 + 0.05)^17
y = 3400(1.05)^17
y = 3400 × 2.2920183178
y = 7800 to the nearest thousand
Is this SAS or Not SAS?
the special assault squad or the SAS where oppressive soldiers sent from england to murder irish people for fighting for freedom
just help me plssssssssss
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
Let b = 12,
Let c = 13,
[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5feet[/tex]
Next you have to find the perimeter of triangle by adding all the sides together :
[tex]perimeter = 5 + 12 + 13[/tex]
[tex]perimeter = 30feet[/tex]
PLEASE HELP!!!!!!!!! Braniest!!!!!!!!!!!!!!!!!!!!!
Answer:
ac
Step-by-step explanation: because the line ac is going directly through the square
Answer:
AC or A
Step-by-step explanation:
If you follow the letters it'll show you its AC
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
To learn more about linear equation from here
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help asap will mark brainliest
Answer:
x= 34 degrees
Step-by-step explanation:
The angles on the same side of the transversal, but on opposite sides of the parallel lines are equal.
Answer:
Step-by-step explanation:
x = 34
the vertically opposite angle facing x = 34 ( it is an alternate angle with 34 and alternate angles are equal)
This means that x = 34 too since vertically opposite angles are equal too
Are x and y for both of them proportional
Answer:
yes
Step-by-step explanation:
in 13, both x and y are increasing by 1 correspondingly, and, in 14, both sides are multiplying by 2 together.
PLEASE HELP ITS AN EMERGENCY!!
Answer:
m∠B=m∠R
Step-by-step explanation:
If you make the triangles congruent, you'll see many things like:
∠A=∠P
∠B=∠R
∠C=∠S
Line AB=Line RP
Line BC=Line RS
Line CA=Line SP
Out of the options, only m∠B=m∠R is true.
Answer:
m∠b = m∠r
Step-by-step explanation:
The triangle was reflected across line m.
A reflection is a rigid transformation. A rigid transformation does not change the measurement or size of a shape, so the pre-image and the image are congruent.
The angles on the pre-image corresponds to the angles on the image. This also is for line segments.
This means (for angle measurements):
Angle A is congruent to Angle PAngle C is congruent to Angle SAngle B is congruent to Angle ROption D should be the correct answer.
A storage container that is in the shape of a rectangular prism has a volume of 60 cubic feet. What could
be the dimensions of the container if one dimension is 3 feet and all dimensions are whole units?
Select all that apply.
A. 3 feet by 4 feet by 5 feet
B. 3 feet by 3 feet by 5 feet
C. 3 feet by 5 feet by 6 feet
D. 3 feet by 2 feet by 10 feet
E. 3 feet by 2 feet by 15 feet
Answer:
A and B i think
Step-by-step explanation:
Lines A and B are parallel lines cut by a transversal. Find the value of x.
Answer:12.33333333333
Step-by-step explanation:
8x - 2 = 14x - 76
74 = 6x
12.333 = x
The required value of the x is 13 in the measures of the angle.
Given that,
Line A and B are parallel lines and intersect by a transversal line.
A line can be defined by the shortest distance between two points is called a line.
What are parallel lines?Parallel lines are defined as the line on which the corresponding points are equidistant throughout the line
Here,
If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,
Thus,
8x + 2 = 14x - 76
6x = 78
x = 78 / 6
x = 13
Thus, the required value of the x is 13 in the measures of the angle.
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Can anyone help explain this to me lol-
-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
7.4 cm, 8.1 cm, 9.8 cm
A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-
Answer:
Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles. ^‿^
HELP ASAP PLEASE
Find the surface area of a rectangular prism, length measures 12 ft, width measures 5 ft, and height measures 3 ft
Answer:
222
Step-by-step explanation:
The data below shows the scores of some students on a test:
32, 29, 21, 20, 26, 23, 28
Which box plot represents the data?
Answer:
Its the second one
Step-by-step explanation:
Help me asap I’m turning this in late please hep
Answer:
The answer is 27 If not please correct me!
Answer:
27
Step-by-step explanation:
You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.
Hope this help.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random
one after the other without replacement, then what is the probability that both the pencils
are purple?
5/182
10/91
2/91
9/182
Answer:10/91
Step-by-step explanation:
Please can’t Gail this
Answer:
4
Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4
The quadratic function d = –3x^2 + 16 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill. After how many seconds is the skateboarder 8 ft from the bottom of the hill?
Answer:
To find the solution, plug in 8 for d
d=-3x2+16
8=-3x2+16 Subtract 8 from both sides
0=-3x2+8
Now, use the quadratic equation to solve for x
a=-3
b=0
c=8
x=1.63 or
C. 1.6s
Step-by-step explanation:
The skateboarder is 8 feet from the bottom of the hill after 1.633 seconds.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given that,
Quadratic function which models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill is,
d = –3x² + 16
We have to calculate after how many seconds is the skateboarder 8 ft from the bottom of the hill.
d = 8 feet. Substitute it.
–3x² + 16 = 8
–3x² = 8 - 16
3x² = 8
x² = 8/3
x = √(8/3) seconds
≈ 1.633 seconds
Hence the time is approximately 1.633 seconds.
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The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be on the graph than its value in the table when x = 12?
A. 20
B. 90
C. 150
D. 180
Answer:
The answer is A.
Step-by-step explanation:
thats what i think
A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
bench?
Answer:
You could subtract 910 from 60 which would give you 850 and that would be your answer.
Step-by-step explanation:
Answer: $850
Step-by-step explanation: take 910 - 60
A monkey is swinging from a tree. On each swing, she travels along an arc that is
75%, percent as long as the previous swing's arc. The total length of the arcs from her first 4 swings is 175m.How long was the monkey's 1st swing?
Round your final answer to the nearest meter.
Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
help rsm 2.1/x+1 4/5=3/10x
Answer:
two minus one times .........
The solution to the equation is x = 7, -1.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 2.1/x + 1 (4/5) =(3/10)x.
Simplify the equation as follows:
2.1/x + 1 (4/5) =(3/10)x
2.1/x + 9/5 = (3/10)x
2.1 + (9/5)x = (3/10)x²
21 + 18x = 3x²
3x² - 18x -21 =0
3x² - 21x + 3x -21 =0
3x(x - 7) + 3(x - 7) =0
(x - 7)(3x + 3) =0
x - 7 =0 or 3x + 3 =0
x = 7 or x = -1
Hence, the solution to the equation is x = 7, -1.
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What is cosA?
a. 12/13
b. 5/13
c. 5/12
Find the median of the following data set: 95, 92, 96, 93, 94, 95, 93 *
Answer:
93
the median is the middle of the data set
Step-by-step explanation:
Answer:
94.
Step-by-step explanation:
First, line the numbers up in order from least to greatest.
92, 93, 93, 94, 95, 95, 96.
Next, find the middlemost number.
What is the mean absolute deviation of 24,30,36,42,48,54
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
