Answer:
a = length
b = height(width)
a=3b
2(a+b)=120
2(b+3b)=2(4b)=8b
8b=120
b=15
a=45
length is 45 feet
width is 15 feet
Which of the following expressions is equivalent to the logarithmic
expression below?
In 5 + In 3
Answer:
Ln 15
Step-by-step explanation:
The expression equivalent to ln(5) + ln(3) is logarithmic ln(15), which is option C.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
Given expression,
In 5 + In 3
We can use the logarithmic identity that says:
log(x) + log(y) = log(xy)
Using this identity, we can rewrite the given expression as:
ln(5) + ln(3) = ln(5 × 3) = ln(15)
Option A, ln(5³) is equivalent to ln(125), which is not the same as ln(15).
Option B, ln(8) is not equivalent to ln(5) + ln(3).
Option D, ln(3⁵) is equivalent to ln(243), which is not the same as ln(5) + ln(3).
Therefore, the expression equivalent to ln(5) + ln(3) is ln(15), which is option C.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
#SPJ7
The complete question would be as:
Which of the following expressions is equivalent to the logarithmic expression below?
In 5+ In 3
A. In 5³
B. In 8
C. In 15
D. In 3⁵
Ill give brainliest - please help ASAP
WITH THE WORK THO PLEASE?
Answer:
this is your answer look it once
39
125°
Find the value of x
Answer:
Step-by-step explanation:
The sum of the interior angles of this triangle must be 180 degrees.
Thus, angle x is 180 degrees less (39 degrees plus 125 degrees), or
x = 180 degrees - 164 degrees = 16 degrees.
Because of the 125 degree angle, this is an obtuse triangle.
Plz help me I rlly need it!
how to find MP when discount percent and SP are given
Given:
Consider the discount percent and SP are given.
To find:
The MP.
Solution:
Let x% be the discount percent Then
[tex]SP=MP-x\%\text{ of }MP[/tex]
[tex]SP=MP-\dfrac{x}{100}MP[/tex]
[tex]SP=\left(1-\dfrac{x}{100}\right)MP[/tex]
[tex]SP=\left(\dfrac{100-x}{100}\right)MP[/tex]
Multiply both sides by 100.
[tex]100SP=(100-x)MP[/tex]
Divide both sides by [tex](100-x)[/tex].
[tex]\dfrac{100}{100-x}SP=MP[/tex]
Therefore, the formula for MP is [tex]MP=\dfrac{100}{100-x}SP[/tex], where x is the discount percentage.
question involving radius and arcs. need help
Using a six-sided die, you have rolled a 6 on each of four successive tosses. What is the probability of rolling a 6 on the next toss?
Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6
In a six-sided die, by rolling a 6 on each of four successive tosses. the probability on the next toss is 1/6.
A six-sided die rolled 6 on each of four successive tosses.
What is probability?It is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The number of favorable outcomes of the die is 1 and the total number of outcomes of the six-sided die is 6.
So, The probability of rolling a six on the fifth roll = 1/6, which is the same as the probability of rolling a six on any given individual roll.
The probability of rolling a 6 on the next toss = 1/6.
Learn more about the probability here:
https://brainly.com/question/795909
50 POINTS
If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. if necessary, round the answer to two decimal places.
r=9 inches, theta = pi/6 radians, A=?
Answer:
Area of sector = 21.21
Step-by-step explanation:
Answer:
Area of sector = ½ r² ∅
1/2 ( 9^2) pi/6
81 x pi/6 x 1/2
81 x (0.52359877559) x 1/2
Area of sector = 21.21
Step-by-step explanation:
Refer to the figure at the right. Line a is parallel to line b
and angle 2 is 145° Find the given angle measures of:
Angle 9
Angle 7
Angle 3
Angle 4
Answer:
angle 9 = 55°
angle 7 = 145°
angle 3 = 35°
angle 4 = 55°
Step-by-step explanation:
Correct me if I'm wrong. I hope it helps.
Help
If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 3 times Natalie's age, the result is 60. Write and solve a system of equations to find how old Fred and Natalie are.
Answer : Let Natalie's age be x. Let Fred's age be y. Add Fred's age to 3 times Natalie's age, the result is 65. Answer : Natalie is 13 years old and Fred is 26 years old.
Step-by-step explanation:
so sorry is wong
How can 5/16 be written as a decimal?
Answer:
0.31
Step-by-step explanation:
Answer:
divide 5 by 16
5 divided by 16 = 0.3125
The numerator is the number you always have to divide by the denominator whenever finding the decimal of a fraction.
Joshua and Kay are out for a walk on a
rainy day. They come to the edge of a large,
circular puddle that has a radius of 3 feet.
Joshua is wearing boots, so he walks straight
through the center of the puddle to the
other side. Kay forgot to wear her boots, so
she walks around the outside of the puddle
to meet Joshua on the other side.
How much farther, in feet, did Kay walk
than Joshua? (Use 3.14 for π.)
Answer:
3.42 feet
Step-by-step explanation:
Joshua walked 3 x 2 = 6 feet
Kay walked approximately (3.14 x 6)/2 or 9.42 feet
9.42 - 6 = 3.42 feet
Kay walked 3.42 feet further than Joshua.
Find the area (in square inches) of the parallelogram. A drawing of a parallelogram with base of 3 feet and height 2 feet. The area is square inches.
Razor blades are quoted at German port at 490 DM per kg. Find the imported cost of blades per gross, being given that £1 = 3.91DM,Re1 = £0.044, 1 kg 15400 grains, weight of blade = 3.2 grains,average cost of transport, insurance, customs etc. Rs 26.81 per gross
Which of the following sets of numbers could represent the three sides of a triangle?
{8, 11, 16}
{7, 12, 19}
{9, 21, 31}
{10, 22, 34}
HELP PLEASE DID I WRITE THESE CORRECTLY??
Answer:
Yes you did
Step-by-step explanation:
Use technology or a z-score table to answer the question.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
How many of the books will weigh 10 pounds or more?
A. 109
B. 116
C. 121
D. 130
The number of books that will weigh 10 pounds or more is 121. Then the correct option is C.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 10 pounds or more will be
[tex]z = \dfrac{10 - 11.6}{1.3}\\\\z = -1.23077[/tex]
Then the probability will be
[tex]\rm P(x > 10) = 1 - P(x < 10) = 0.8909 \ or \ 89.09\%[/tex]
89.09% of books will weigh 10 pounds or more, then the number of the books will be
→ 136 × 0.8909
→ 121.1624 ≈ 121
More about the z-score link is given below.
https://brainly.com/question/15016913
S
Page 1
(d)
A farmer plants two crops, potatoes and corn, on a ten-hectare piece of land. The number of
hectares of corn planted, c, must be at least twice the number of hectares of potatoes, p.
Write TWO inequalities to represent the scenario above,
Answer:
c ≥ (p x 2)
Step-by-step explanation:
Each dozen donuts sells for $6.99. What is the difference, in dollars, between
the total sales from the new box over 6 months this year and the total sales
from the original box over 6 months last year?
Answer:
Step-by-step explanation:
HEEEEEELLLPPPPPPPP!!!!!!!!!!!!
the slope of the equation is ? look at the picture for the question*
1. Find the area of the figure. * 24 cm 9 cm 10.5 cm 12 om
Ms. Keesha is packing her suitcase for a trip. She wants the total weight of the suitcase to be less than 50 pounds. The total weight so far is 37 pounds. She wants to add books that weigh 1 pounds each. Which inequality shows the number of books she can add to her suitcase? Show your work.
Answer:
Step-by-step explanation:
50 - 37 = 13 so the amount of books she needs is 13 to equal the total weight of 50 pounds
3⋅f(−4)−3⋅g(−2)????????
ASAP HELP HELP
AND HOW DID YOU GET THE ANSWER
Answer:
B
Step-by-step explanation:
A straight line equals to 180 degrees. The example shown is a linear pair!
Tell whether each rate is a unit rate. Select all that apply.
A) 8 dogs for every 5 cats
B) $1.25 per song
C) lap per minute
D)
60students
2classes
E)
15players
1team
F) 4 cups per 2 batches
Answer:
B,C,E
Step-by-step explanation:
because a unite rate is a number over one
Find the surface area of the cube shown below.
will mark brainliest
Answer:
Step-by-step explanation:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube.
6a2
Putting value of a in the equation
6(2/3)^2
= 2.6666666666666666666666
Answer:
2 2/3 square inches
Step-by-step explanation:
Since each side equals 2/3 of, say, an inch, you need to multiply 2/3 by 2/3 to get the area of one side, then multiply that value by 6 to get the total surface area.
[tex]\frac{2}{3}*\frac{2}{3}=\frac{4}{9}[/tex]
[tex]\frac{4}{9} = 0.444444...[/tex]
Now, for the total:
[tex]\frac{4}{9} * 6 = \frac{24}{9}[/tex]
[tex]\frac{24}{9} = 2\frac{6}{9}[/tex]
[tex]2\frac{6}{9} = 2\frac{2}{3}[/tex]
no links pls help!
A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?
2 in.
9 in.
18 in.
36 in.
Answer:
18 in.
Step-by-step explanation:
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Evaluate the expression when c = 6 and x = -2.
c-6x
Answer:
18
Step-by-step explanation:
C = 6 and x = -2 just mean that you are supposed to substitute them into the equation.
That means that the equation should be: 6 - 6 * -2, or 6 − 6 (−2), or 18.
Hope that this helps!
does 4(x+1)=2x+4 have a solution
Answer: Yes, x = 0
Step-by-step explanation:
To solve for x, we will simplify things by distributing the 4 to the (x + 1) term. This means that our new equation will be
4x + 4 = 2x + 4
Now that we have our new equation, we will isolate x by subtracting 4 from both sides. After this, we will end up with
4x = 2x
At first glance, this may seem like no solution. What number has the same value when multiplied by 2 and by 4? Well, there infact is one. This can be shown when we subtract both sides by 2x to keep x on one side, and get
2x = 0
Divide by both sides to isolate x, and you get x = 0/2 = 0.
Thus, x = 0.