Choose the best answer that represents the property used to rewrite the expression.
log5 6 − log5 3 = log5 2
Answers
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
Related Questions
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answers
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
pls help me with number 10
Answers
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
Calculate the area and the perimeter of the figure
Answers
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
Answers
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
To know more about the Volume of Prism
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Please help answer! It’s due today!
Answers
Side PQ corresponds to side TS. 9/7 is roughly 1.29, which would make that its scale factor. (I’m dividing because when side lengths are proportional, there is a specific value, the scale factor, that you can multiply or divide by to find the unknown side length of a corresponding side). Side QR corresponds to side UT. 15/10 is 1.5, thus making that the scale factor between these two sides. Finally, we see that side PR corresponds to side US. 12/8 is 1.5, making the scale factor between those two sides 1.5. Although two pairs of corresponding sides have the same scale factor, the same cannot be said for the third pair of corresponding sides. In order for the triangles to be similar, the scale factor should remain constant between each corresponding side, therefore, the triangles are not similar.
For number 6, since you are only given the side lengths, you would not be able to use the AA (Angle-Angle Similarity Theorem), or SAS (Side-Angle-Side Similarity Theorem). The calculations are shown below:
PQ~TS: 9/6= 1.5
QR~UT: 15/10= 1.5
PR~US: 12/8= 1.5
The scale factor for each pair of corresponding sides is congruent, proving that the triangles are proportional, making them similar.
Answer:
need thiss
Step-by-step explanation:
PreCalculus Unit 3 Activity 90 POINTS
Answers
Answer:
19900kk
Step-by-step explanation:
i need deez points fr doe
Step-by-step explanation:
convert the angle from radian to degree you will get 225°
To draw it draw first 180° then ad 45° to make it easy
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answers
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
4 Assuming the triangle was made of a material of uniform thickness which of the centres would also be the
centre of gravity of the triangle? Support your choice.
Answers
Step-by-step explanation:
you can split triangle in two 90-:80 triangles
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answers
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
Find the missing segment
Answers
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
The question and pic is on the picture I took a picture of
Answers
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
If you have a gerbil, then you are a pet owner. Question 7 options: If you are not a gerbil, then you are not a pet owner. True If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets. If you do not have a gerbil, then you are not a pet owner. False; you could have a dog. If you are not a pet owner, then you do not have a gerbil. True
Answers
Step-by-step explanation:
If you are not a gerbil, then you are not a pet owner. False; if you are not a gerbil, you can be a human who owns pets.
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets.
If you do not have a gerbil, then you are not a pet owner. False; you could have a dog or a cat.
If you are not a pet owner, then you do not have a gerbil. True, since if you do not own any pets, you will not have any animals, so you will not have a gerbil.
Hope this helps!
Answer:
If you are not a pet owner, then you have a gerbil. False; if you are not a pet owner then you have no pets
Step-by-step explanation:
Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answers
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
Where a is the leading coefficient.
Consider functions f and g below.
g(x) = –x² + 2x + 4
The function can be written as
g(x) = –(x – 1)² + 5
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.
Then the correct option is C.
More about the parabola link is given below.
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The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answers
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answers
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
What is this expression in simplified form?
(8/10)(8/5)
OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2
Answers
Answer:
A.64/50
Step-by-step explanation:
8/10*8/5
64/50
The least simplified form of the equation is 32/25
The simplified form of expression is option (D) 64/50 is the correct answer.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is (8/10)(8/5)
The simplified form of expression is
⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]
⇒ [tex]\frac{64}{50}[/tex]
Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.
Learn more about simplification of an expression here
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The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!
Answers
Answer:
not sure,but I think the answer is 3 to 4
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
Answers
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Answer:
B
Step-by-step explanation:
To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?
Answers
Answer:
30.24/16= $1.89 per gallon = c/g
Step-by-step explanation:
c = $30.24
g = 16
Divide c/g
Answer:
g gallon = $1.89 g
Step-by-step explanation:
Gallon = g
16 gallons = 16 g
Cost = $30.24
So,
16 gallons = $30.24
1 gallon = $30.24/16
1 gallon = $1.89
g gallon = $1.89 g
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
Answers
12.5mm
Step by step explanation:
The slant height is just the hypotenuse of the triangle where the height and base are the legs. The height is 12 and the base is 7. We only use half of the base which is 3.5. Using the Pythagorean theorem, 12^2+3.5^2=c^2.
It simplifies to 144+12.25=c^2. Then, 156.25=c^2. Find the radical of 156.25 and you will get c=12.5.
The slant height is 12.5
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
Answers
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answers
Answer:
The answer is B. 30 seconds
Please help me out i need it ASAP
Answers
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answers
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
the tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?The next even integer that is larger than 2n, if 2n is an even integer.
Answers
Answer:
a) we know that:
the tens digit exeeds the units digit by 3, then if we have two digits
ab.
and b, the digit for units is equal to r.
then a, the digit for tens, is equal to r + 3.
Then, if r = 4, we have that the digit for tens is r + 3 = 7
and the number is 74.
b) if n is an integer, then we know that 2*n is an even number.
Now, the next even number is always 2 units away, then the next even number to 2*n is:
2*n + 2 = 2*(n + 1)
Solve and graph |-8x|<8 help me lol
Answers
Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answers
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answers
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.
the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac
Answers
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 15^2
AC^2 = 16 + 225
AC^2 = 241
AC = √241
What is the value of a?
Answers
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)