Answers
Answer:
[tex]=8[/tex]
Step-by-step explanation:
[tex]\log _2\left(16\right)\log _3\left(9\right)\\\mathrm{Simplify}\:\log _2\left(16\right):\quad 4\\\log _2\left(16\right)\\\mathrm{Rewrite\:}16\mathrm{\:in\:power-base\:form:}\quad 16=2^4\\=\log _2\left(2^4\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^4\right)=4\log _2\left(2\right)\\=4\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=4\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4\\=4\\=4\log _3\left(9\right)\\\mathrm{Simplify}\:\log _3\left(9\right):\quad 2\\\log _3\left(9\right)\\\mathrm{Rewrite\:}9\mathrm{\:in\:power-base\:form:}\quad 9=3^2\\=\log _3\left(3^2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^2\right)=2\log _3\left(3\right)\\=2\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=2\cdot \:1[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2\\=4\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8[/tex]
Related Questions
1.Choose the best description for ∠1 and ∠2 in the following figure.
2. Determine whether the angles are adjacent angles, a linear pair, or vertical angles. Some pairs of angles may have more than one relationship.
THE PICTURES ARE IN ORDER THE LAST TWO ARE FOR NUMBER 2
Answers
Answer:
1 ) Adjacent angles,
2 ) See solution below
Step-by-step explanation:
Question 1. Provided ∠ 1 and ∠ 1 are near one another, they can be referred to as adjacent ∠s;
Solution; Adjacent angles
Question 2.
Angles 5, and 6 are consecutively near one another, and thus are adjacent angles,
Angles 5 and 9 are supplementary knowing that they lie on a straight angle, so that they can be best named a linear pair, provided there are only two of these angles,
Angles 5 and 8 are opposite to one another so that they are ≅, thus should be names as vertical angles
Solution;
Angle | Adjacent Angles | Linear Pair | Vertical angles
∠ 5, 6 | Check! | |
∠ 5, 9 | | Check! |
∠ 5, 8 | | | Check!
Shayla purchased a vase in the shape of a rectangular prism. The area of the bottom of the vase is 18 square inches, and the height of the vase is 8 inches. How many cubic inches of water will completely fill the vase?
A : 26
B:144
C:648
D : 2,592
Answers
Answer:
B:144
Step-by-step explanation:
18*8=144
Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108
Answers
Answer: the answer is D.108
I need help I can’t figure this out
Answers
Answer:
12.04 = BC
Step-by-step explanation:
A tangent intersects at 90 degrees
We know AB and AC
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC^2 + AB^2 = BC^2
8^2 + 9^2 = BC^2
64+ 81 = BC^2
145 = BC^2
Take the square root of each side
sqrt(145) = BC^2
12.0415945 BC
To the nearest hundredth
12.04 = BC
PLEASE HURRY!!!!
WILL GIVE BRAINLIEST!!!
(Answer choices and question is in the picture)
Answers
Answer:
The answer is 40
Step-by-step explanation:
The reason for this is because. . .
(-1,-4) , (3,6)
so you have count from -1 to 3 and u will get 4, because if you can put (-1,-4) and (3,6) on a graph. If you did that then u must count horizantolly from -1 to 3 since they are on the x-axis. In the end you will get 4 since 3 minus -1 is 4. Also if your counting horizantally then that's ur width.
width = 4
To find the length, it is very simple. Subrtract 6 from -4 and you will get 10. And since the y-axis is being counted vertically, that is your length.
length = 10
To find the area, u have to do width times length so in this case you have to do 4 time 10 and you will get 40.
area = 40
Write the equation of the line that passes through the points (−1,−6) and (−5,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:you get two answers. y+6=-7/4(x+5) or y-1=-7/4(x+5)
Step-by-step explanation:
By the way the 7/4 is negative if you could not tell. You get this answer by finding the slope which is 1- -6/-5- -1 and get -7/4. Then you plug it into the formula y-y1=slope(x-x1). When you plug it in you should get that answer.
The equation of the line that passes through the point (-1, -6) and (-5, 1) is
y = (-7/4)x - 32/4
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c
Now,
(-1, -6) and (-5, 1)
Slope = m
m = (1 + 6) / (-5 + 1)
m = 7/-4
m = -7/4
Now,
(-1, -6) = (x, y)
-6 = (-7/4) x -1 + c
-6 = 7/4 + c
c = -6 - 7/4
c = (-24 - 7) / 4
c = -32/4
The equation of the line is y = (-7/4)x - 32/4
Thus,
The equation of the line is
y = (-7/4)x - 32/4
Learn more about equation of a line here:
https://brainly.com/question/23087740
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What is the volume of the right rectangular prism, in cubic inches?
12 in
Area of base = 4 sq in
cubic inches
Answers
Answer:[tex]48\ in.^3[/tex]
Step-by-step explanation:
Given
height of prism [tex]h=12\ in.[/tex]
Area of base [tex]A=4\ in.^2[/tex]
Volume of a rectangular prism
[tex]V=height\times Area[/tex]
[tex]V=12\times 4[/tex]
[tex]V=48\ in.^3[/tex]
So, volume of Prism is [tex]48\ in.^3[/tex]
Answer:
48
Step-by-step explanation:
I'm doing the quiz, hope you guys have a good day.
(*˘︶˘*).｡*♡
Do you have a triangle with 3 angles:60 degrees,60 degrees,and 63 degrees
Answers
Answer:
No
Step-by-step explanation:
The sum of all angles in a triangle is 180°. Because 60 + 60 + 63 = 183 ≠ 180, this is not a triangle.
The sum of all angles in triangle is equeal to 180°
We need to check sum of 60, 60 and 63.
60+60+63=183
183≠180
There is no such triangle
Help please i'm getting mad because i don't understand, and again. Thank you if you answered. PLEASE HURRY!!!
Answers
E 3/4 pounds = 6/8 and 3 packages
of 1 1/8 were purchased to the 6/8 so therefor 3 times
D All packages weigh kore than 1/2 pound since 1/2=4/8 and smallest packages was 5/8 so therefor greater than 4/8
Answer:
D and E are the correct answers
Step-by-step explanation:
A is false: The difference between the greatest and least weights is NOT 1/2.
B is false: 2/9 of the packages weigh 5/8 pounds...not 1/4.
C is false: You can clearly see there were more than 12 packages purchased.
D is true: 3/4 = 6/8 and there is 1 package that weighs 6/8 pounds 1 x 3=3 and there is a total of 3 packages that weigh 1 1/8 pounds.
E is true: 1/2=4/8 and the smallest amount is 5/8 pounds which is over 1/2 pound.
~ Please mark me as brainliest :)
HELP QUICK PLZZZ HURRY!!!! ILL GIVE YOU 15 POINTS
Answers
Answer:
im so confused
can u make me brainliest Step-by-step explanation:
pleaseeeeeeeeeeeeeeeee
Answer:
What do you need help with?
Step-by-step explanation:
I'm happy to help! (If I can) (Probably not but maybe)
Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of lazer tag costs $5. Select the equation that matches this situation.
Answers
Answer:
35 ÷ 5 = g
Step-by-step explanation:
First, you snatch her/his money to do math, then you take the $35 and look the the thing that tells you how much games cost then do 35 ÷ 5 but since you cant solve it just put 35 ÷ 5 = g , and last but not least you take Kendle's money because no lazer tag during a pandemic and run home before you get yelled at because you were at a lazer tag place and took someones money.
Answer:
35/5=g
Step-by-step explanation:
it's pretty simple! she has 35$ but each game is 5$ so 35 over 5 is g. and g= 7 hope this helped
BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)
3(2-4i)^2
Answers
1. Using (a-b)^2= a^2-2ab+b^2, expand the expression
2. 3(4-16i+16i^2)
3. Distribute the 3 throughout
4. 12-48i+48i^2
5. reorder the terms
6. Answer is 48i^2-48i+12
The graph shows the numbers of quarts of yellow paint that must be mixed with different numbers of quarts of red paint to make a certain shade of orange paint.
Based on the graph, write an equation that shows the relationship between the number of quarts of yellow paint, y, and the number of quarts of red paint, x, needed to make the shade of orange paint.
Enter your equation in the space provided. Enter only your equation.
Answers
Answer:
y = 0.4x
Step-by-step explanation:
The graph shows that the relation is linear, so we can model this relation with a linear equation:
y = ax + b
To find the value of the parameters, we should get two points from the line and use their coordinates in the equation.
From point (0,0), we have:
0 = a*0 + b
b = 0
From point (2,5), we have:
2 = 5a + b
a = 2/5 = 0.4
So the equation we want is:
y = 0.4x
:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?
Answers
Let x = pounds of $12 per pound coffee
then
20-x = pounds of $9 per pound coffee
.
12x + 9(20-x) = 10(20)
12x + 180 - 9x = 200
3x + 180 = 200
3x = 20
x = 20/3
x = 6 and 2/3 pounds of $12 per pound coffee
.
Amount of $9 per pound coffee:
20-x = 20-20/3 = 60/3 - 20/3 = 40/3
or
13 and 1/3 pounds of $9 per pound coffee
What is the solution to this system of equations? (Possible answers included)
Answers
Answer:
A. 2,6
Step-by-step explanation:
Looking at the lines, the lines intercept through 2,6.
Have a great day (:
What is the area of the regular polygon?
Answers
The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]
The area would be 100/2
or 50 m^2.
Which represents where f(x)=g(x)?
Answers
A. 625in^3
B. 25in^3
C. 125in^3
D. 5in^3
Answers
Answer:
125in^3
Step-by-step explanation:
All sides of a cube are equal
∴ vol. of cube= side³
Side = 5in
Vol= (5)³=125
∴ Volume = 125in³
Check the statement(s) below to ensure that distance readings are accurate.
Estimate measurements to the nearest 0.05 cm.
Start all measurements at the 1 cm mark.
Start all measurements from the corner of the ruler.
Start all measurements from the zero (0) mark.
Answers
Answer:
A and D
Step-by-step explanation:
Took test on Edg 2020 and was correct
Answer:
A: Estimate measurements to the nearest 0.05 cm.
D: Start all measurements from the zero (0) mark.
The graph of f(x) is shown below.
If g(x) = -10x + 2, which statement is true?
A.
The x-intercept of g(x) is greater than the x-intercept of f(x).
B.
The x-intercept of g(x) is less than the x-intercept of f(x).
C.
The y-intercept of g(x) is greater than the y-intercept of f(x).
D.
The y-intercept of g(x) is less than the y-intercept of f(x).
Answers
Answer:
I believe the answer is B
Step-by-step explanation:
find the value of x help plz
Answers
Answer:
5. x = 9
6. x = 12
7. x = 15
8. x = 11
Step-by-step explanation:
5. 90-56 = 34
34 = 3x + 7
27 = 3x
x = 9
6. 90 - 48 = 42
42 = 3x + 6
36 = 3x
x = 12
7. 90 - 47 = 43
43 = 2x + 13
30 = 2x
x= 15
8. 3x + 5x + 2 = 90
8x = 88
x = 11
How are polynomials with operations, like other number systems, such as whole numbers and integers?
Answers
Could somebody help me on this please
Answers
Answer:
right angle:-a Pythagorean theorem only works if the triangle is a right angle.
leg:- the two legs of a triangle are needed to complete the equation a²+b²=c²
hypotenuse:- too is needed to complete the equation too.
square root:- is used to simplify the equation at the end.
it was simplified by putting 169=x² in a square root.
Step-by-step explanation:
3. Determine the Determinant of the Quadratic
2x2 + 7x - 3=0
Answers
Answer:
73
Step-by-step explanation:
I think you mean the discriminant.
You calculate it by using b^2 - 4ac
a = 2
b = 7
c = -3
So it would be 49 - 4 * 2 * -3
49 + 24
73
The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.
Answers
Answer:
p = 2100e^0.3t , t=6 years
Step-by-step explanation:
helpppppp meeeeeee plz
Answers
60 total fourth graders and 43 are girls. To find the number of boys, subtract.
60 - 43 = 17 boys
If 5 girls were absent, subtract.
43 - 5 = 38 girls present
If 4 boys were absent, subtract.
17 - 4 = 13 boys present
Therefore, there were 13 boys present.
Best of Luck!
Answer:
13 boys were present
Step-by-step explanation:
→ In total there is 60 fourth graders at the Small Tree School.
→ 43 of them are girls and this information is given to us which means that there is 17 boys because 60 - 43 = 17
→ We want to know know how many boys were at the school on Friday considering that 5 fourth grade girls and 4 fourth grade boys were absent
→ We know that there is a total of 17 boys and 4 fourth grade boys were absent so 17 - 4 will give us the number of boys that were present on Friday so 17 - 4 = 13. 13 boys were present considering 5 fourth grade girls and 4 fourth grade boys were absent
How can the diagram be used to evaluate Three-halves divided by three-fourths?
A number line going from 0 to 1 in increments of one-half.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.
Answers
Answer: c
Step-by-step explanation: I took the test
pls help me with this rq
Answers
Answer:
25 inches
Step-by-step explanation:
We can use a ratio to solve
width dr height dr
------------- = ----------
width act height act
15 inches x inches
--------------- = -----------------
3 ft 5 ft
Using cross products
15*5 = 3x
Divide each side by 3
15*5 /3 = 3x/3
25 =x
Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.
Unit rate ______ points/games
Points in 11 games ______
Answers
Unit rate = 41 points / 3 games = 13 2/3 points per game
Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and 30 minutes, what was her average speed?
Answers
Answer: 8
Step-by-step explanation: Speed is distance/time
18/3 = 6 miles per hour running
18/2 = 9 miles per hour biking
3 hour bike = 27 miles
1.50 hour run (0.50 because 30 minutes is half of an hour) = 9 miles
27 + 9/3 + 1.50 = 36/4.5 or 8