Answer:
[tex] log(11 {x}^{2} )[/tex]
Step-by-step explanation:
[tex]2logx + log11 \\ \\ = log {x}^{2} + log11 \\ \\ = log( {x}^{2} \times 11) \\ \\ = log(11 {x}^{2} )[/tex]
The Equivalent value of 2 log x + log 11 is log(11x²).
What is Logarithm?The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be represented as multiplication and division of logarithms.
We have to find the value of 2 log x + log 11.
Using the property
log a + log b = log (ab)
and, 2 log a = log a²
So, 2 log x + log 11
= log x² + log 11
= log( x² × 11)
= log(11x²)
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A 13.5 m fire truck ladder is leaning against a wall.
Find the distance the ladder goes up the wall if it
makes an angle of 43.8° with the ground.
To solve this problem you must apply the proccedure shown below:
1. You have the the 13.5-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.
2. Then you have:
39 degrees 45'=39.75°
Sin(39.75°)=d/13.5
d=13.5xSin(39.75°)
d=8.63
What is the y-intercept of the following equation? y=2x+5
PLEASE HELP ME ANSWER The probability that Scott will be late for work is 0.15. In a year Scott works for 240 days. Work out the expected number of days that he will be late......
Answer:
36 days
Step-by-step explanation:
Given
[tex]p = 0.15[/tex] -- probability of coming late to work
[tex]n = 240[/tex] -- number of days
Required
Determine the expected number of days of coming late (E(x))
This is calculated using:
[tex]E(x) = np[/tex]
[tex]E(x) = 240 * 0.15[/tex]
[tex]E(x) = 36[/tex]
The expected number of days is 36
1. Sen 495° debo o sea evaluarlas las funciones trigonométricas para ángulos que no se encuentra en círculos unitarios y me pide explicar y desmontar
Answer:
which language is this???
10/11 x 7/9 x 1/2 help meh!
Answer:
35/99 or .35 repeating
Step-by-step explanation:
just multiply
Answer:
35/99
Step-by-step explanation:
Multiply and you'll get 35/99 0.35 with a line above 35 which means repeating
If x=5 then what is 3x+(2-4x). P.S. standard form
Answer:
-3
Step-by-step explanation:
3x+(2-4x)
3*5+(2-4*5)
3*5+(2-20)
3*5+(-18)
3*5-18
15-18
-3
The Rodriguez
family is on a
vacation. They
started with $1,875.
They have spent
$140 each day and
have $895 left for the
rest of their vacation.
Write and solve an
equation to find how
many days have they
been on their
vacation already?
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
PLEASE HELP I WILL MAKE YOU BRAINLIEST!!!!! A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism.
What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
(A) The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.
(B) The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
(C) The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
(D) The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
Answer:
(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism is given by:
[tex]V_R = A_{b}*h[/tex]
In which [tex]A_b[/tex] is the base area and h is the height.
Volume of a pyramid:
[tex]V_P = \frac{A_{b}*h}{3}[/tex]
Relation:
From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.
A rectangular prism has a volume of 198 cm³
So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.
The correct answer is given by option B.
Pleaseeeeeeeee answer if you do your the best at life!!!!!
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Answer:
x+(-8)= -12
x-8= -12
x= -12+8
x=-4
-3 + x = 10
x=10+3
x=13
-2+x= -5
x=-5+2
x=-3
Step-by-step explanation:
Zoey's dog has a water bowl with a diameter of 6 inches. Sam's
dog has a water bowl with a diameter of 10 inches. What is the
approximate difference in the circumference (distance around)
ut of the two water bowls?
Answer:
12.56 inches
Step-by-step explanation:
Circumference: C = 2*pi*r
I will be using 3.14 in place of pi
Divide the diameters by 2, so 3 for Zoey and 5 for Sam
Multiply (2*3.14*3) and (2*3.14*5)
For Zoey you get 18.84 and for Sam you get 31.4
31.4-18.84= 12.56 in difference
The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
The radius of a circle is 9.6 in. Find the circumference to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
9.6*2=19.2
How do I solve this question?
Answer:
The correct answer is given by option a.
Step-by-step explanation:
Rational roots theorem:
In the rational roots theorem, we take the leading coefficient(which multiplies the term of x with the highest exponent) and the independent term(which does not multiply any value of x).
The possible roots have the format p/q, in which p are the factors of the independent term, and q are the factors of the leading coefficient.
In this question:
Leading coefficient: 3
Independent term: 15
Factors of the independent term: {1, 3, 5, 15} -> p
Factors of the leading coefficient: {1,3} -> q
Possible roots:
All possible values, positive or negative, in which p is divided by q. So
[tex]\pm \frac{1}{1}, \pm \frac{1}{3}, \pm \frac{3}{1}, \pm \frac{3}{3}, \pm \frac{5}{1}, \pm \frac{5}{3}, \pm \frac{15}{1}, \pm \frac{15}{3}[/tex]
So, without the repeated terms, they are:
[tex]\pm \frac{1}{3}, \pm \frac{5}{3}, \pm 1, \pm 3, \pm 5, \pm 15[/tex]
The correct answer is given by option a.
what is the answer to the equation -5+15>-30
Your answer is going to be -20.
-4x - 9 = 19
Find x please! (Please explain how you did it too)
Answer:
x= - 7
Step-by-step explanation:
-4x= 28
x=28/-4
g(x)=-7x+6. Solve g(x)=-17
Answer:
23/7
Step-by-step explanation:
-7x+6=-17
-7x=-17-6
-7x=-23
7x=23
x=23/7
Kate had $140. She spent
2/5 of it. What amount did she spend?
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
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5. Which equation will solve the following word problem? The professor has 390 books that he wants to display in his office. Each shelf can hold 65 books. How many shelves will he need?
A)390s = 65
b)390(65) = s
c)s/390 = 65
d)390 = 65s
Answer:
[tex]65s = 390[/tex]
Step-by-step explanation:
Given
[tex]Books = 390[/tex]
[tex]Shelf = 65[/tex]
Required
Write an expression for the scenario
1 shelf can hold 65 books.
s shelves can hold 65s books.
So:
[tex]s\ shelves - 390[/tex]
Substitute 390 for s shelf
[tex]65s = 390[/tex]
Find the distance between the two points in simplest radical form.
(0,8) and (4,0)
can someone help me plz?!
An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 5 small chandeliers and 3 large chandeliers, which weighed a total of 308 pounds. In the second box, he packed 5 small chandeliers and 5 large chandeliers, which had a weight of 430 pounds. Assuming the weight of the box isn't included in the shipping weight, how much does each size of chandelier weigh?
Subtracting eq(2) from eq(1)
[tex]\\ \tt\hookrightarrow -2y=-122[/tex]
[tex]\\ \tt\hookrightarrow y=61[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]
[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]
[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]
[tex]\\ \tt\hookrightarrow 5x=125[/tex]
[tex]\\ \tt\hookrightarrow x=25[/tex]
Choose a random number between 1 and 25. What is the probability that it is an even number
Answer:
6/25
Step-by-step explanation:
its a probability out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25
Please help! Thank you!
Answer:
here are some websites you can use:
mathpapa .com
desmos .com (scientific calculator)
calculatorsoup .com
Draw a model that shows 3 items being divided equally for 4 people. How much will each person have?
Answer:
Each person will get 3 pieces
Step-by-step explanation:
First you separate each item in 4 pieces. Then you get 12 pieces. Since 12 divided with 4 is 3, the answer is 3.
We want to draw a model that shows 3 items being divided equally for 4 people, we will see that each person receives 0.75 of an item.
Drawing the model.Here you just need to create an area that represents 3 elements, then replicate that area but this time with 4 sections, so we can see how much each of the 4 sections takes from the 3 elements.
The model can be seen below. (this is just an example, you should do it with a ruler to have a proper model).
Now to see how much each person haves we just take the quotient:
3/4 = 0.75
Each person receives 0.75 of an item.
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Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 6), B(8, 6), C(8, 10)
The circumcenter is
9514 1404 393
Answer:
(5, 8)
Step-by-step explanation:
The circumcenter of a right triangle is the midpoint of the hypotenuse.
O = (A +C)/2
O = ((2, 6) +(8, 10))/2 = (2+8, 6+10)/2
O = (5, 8)
The circumcenter is (5, 8).
Translate the sentence into an equation.
The sum of 2 times a number and 9 is 7.
Use the variable
y for the unknown number.
Answer:
Step-by-step explanation:
2 times a number, 2y
the sum of that and 9, 2y+9 ‘is’ 7
2y+9=7
hey!! plz answer this question correctly plz plz plz im on a very tight time crunch thanks besties
Answer:
b is the answer I choose because it is going in-5
Answer:
B
Step-by-step explanation:
130 3x + 67 degrees
please please please please please please please help
Answer:
x=21
Step-by-step explanation:
Since the angle is the same size it is equal to 130 degrees.
GIVING ALOT OF BRAINS FAST!
Brendon is building a clubhouse where 11 inch on the plans is equivalent to 88 inches on the actual clubhouse.
If the clubhouse is to be 160 inches wide, what will the width be on the plans?
Round answer to the nearest hundredth if necessary.
20
160/8=20
88/8=11
i hope this one helps !!
Answer:
20,020 in. on the plans
Step-by-step explanation:
To get from 11 in. to 88 in. (from plans to real life), you multiply by 8.
Therefore, to get from 160,160 to ?? (from real-life to plans), you would divide by 8.
160,160 / 8 = 20,020
To check, you can multiply 20,020 by 8 to go from plans to real-life measurements; 20,020 • 8 = 160,160)