Answer:
Logarithm base 3 of 27 is 3 .Step-by-step explanation:
hope it helpsAnswer:
3
Step-by-step explanation:
27 = 3 x 3 x 3 = 3³
log3 27
= log3 3³
= 3 log3 3
= 3 x 1
= 3
Note : -
Formulas : -
Logn n = 1
Logn n^n = n Logn n
Which inequality matches the graph
Answer:
x ≤ -2
Step-by-step explanation:
its going towards numbers smaller than negative 2 so its less than. A closed circle dot means it includes the -2 so its less than or equal to
Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.
The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/1315822
Determine whether the ratios form a proportion.
16/9, 28/15
Answer:
No
Step-by-step explanation:
One way of doing this problem is to reduce the given fractions as much as possible. Unfortunately, neither ratio reduces. So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."
Answer:
hope it helps 12 : 9 = 28 : 15
is FALSE
A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?
Divide distance by time
Truck : 333/6 = 55.5 miles per hour
Car: 210/4 = 52.5 miles per hour
Answer:
Below.
Step-by-step explanation:
Speed of truck = 333/6 = 55.5 mph.
Speed of car = 210/4 = 52.5 mph.
What numbers are located exactly 5/3 units from point P on the number line?
The required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
Here, we have,
We have been given that number line, the numbers that are 5/3 units away from the number -2/3 are the numbers that are 5/3 units to its right and left.
The numbers are given by -2/3 - 5/3 and -2/3 + 5/3.
So the required numbers would be:
⇒ -2/3 - 5/3 = -7/3 = -2.33
⇒ -2/3 + 5/3 = 3/3 = 1
Therefore, the required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ2
look at the right angle triangle ABC 75
Answer:
A and B are equal to 52.5°
Step-by-step explanation:
One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5
The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
1/128
1/256
1/512
1/1024
Answer:
it's the 4th one
Step-by-step explanation:
A, the one you mentioned
B, the 7th
C, the 8th
D is your answer
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
4.69 divided by 3.5 please help
Answer:
1.34
Step-by-step explanation:
Used a Calculator
Answer:
1.34
Step-by-step explanation:
4.69/3.5
=1.34
Here is your answerPlz mark me as brainliestif it's 11:24 what time will it be in 49 minutes
Hi,
if it's 11:24, it wil be 12:13
✅(◠‿◕)
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate?
What is the value of b in centimters?
I estimate about 27 cm
have a nice dayyyy
A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
$0.40
$4.20
$5.20
$7.80
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
Plslslslslslsllep
Helppp tyyyyyyyy
[tex](5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} [/tex]
Answer:
[tex]125 {x}^{3} {y}^{6} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
125x^3y^6
Step-by-step explanation:
Distribute the 3 exponent on the outside to the 5, x^1 and y^2
5^3 = 125
1 * 3 = 3
2 * 3 = 6
125x^3y^6
Channing jogs 10 miles a week. How many miles will she jog in 57 weeks?
Answer:
Simple! Multiply 57 by 10...
The answer is 570 miles in 57 weeks!
Answer:
570 miles per 57 weeks
Step-by-step explanation:
set a proportion;
10 miles x miles
----------- = ------------
1 week 57 weeks
57/1 = 57
10 x 57 = 570
x = 570
a^-13/ a^-6= ?
Rewrite the expression in the form a^n
Answer:
a^-7
Step-by-step explanation:
so when dividing exponents you subtract them so the exponents are -13 and -6 you would just subtract them
-13 - (-6) = -13 + 6 = -7
and so a^-7 is ur answer
please help! here’s the question thank you !
Answer: They just needed to do process of eliminaion. :I
Step-by-step explanation:
Find the midpoint of PQ¯¯¯¯¯¯¯¯ with endpoints P(0, 2) and Q(6,−2). Then write an equation of the line that passes through the midpoint and is perpendicular to PQ¯¯¯¯¯¯¯¯ . This line is called the perpendicular bisector.
Answer:
The midpoint of PQ is (3,0) and the equation if the line perpendicular to PQ is y=3/2(x-3).
Step-by-step explanation:
To find the midpoint, find the average of the x and y values. (0+6)/2=3 and (-2+2)/2=0
In order to make a perpendicular line, we must find the slope first of the original line.
(y2-y1)/(x2-x1) is the formula for slope
(-2-2)/(6-0)= -4/6=-2/3
Now we know the slope which is all we need to start making the equation using the point slope form which is y-y1=m(x-x1) (let m be slope) and we use the midpoint (3,0) as our point. since it is perpendicular, we will take the slope and flip it as well as change the sign
y-0=3/2(x-3) or y=3/2(x-3)
if you'd like, you can distribute and put it in slope intercept form
y=3/2x+9/2
help please brainliest and 30 pts
Answer: B though im not sure
Step-by-step explanation:
Charles is a real estate agent. He earns 3% commission on every house he sells. He just sold a house for $20,000. What is the commission he earns for selling this house?
Answer: 600
Step-by-step explanation:
Hope this helps!
what is the 60th term of the sequence 2, -3, -8, -13?
Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.
Answer:
Type 2
Step-by-step explanation:
Equation of the line is:
y=2
slope is 0
5) - 2y = -2x
slope intercept form please someone help i don’t have much time
[tex]\text{Given that,}\\\\-2y = -2x\\\\\implies y = x\\\\\implies y = x+0\\\\\\\text{This is the slope- intercept form(y=mx+b) of the given equation,}\\ \text{where the slope is 1 and y - intercept is 0.}[/tex]
what is 38942390785289037x348092387490287
38942390785289037x34809238749028
A solution to the linear equation 6x+2y=-32 is. ( _ ,8)
Answer: -8
The ordered pair solution is ( -8, 8 )
=====================================================
To get that answer, we plug in y = 8 and solve for x.
6x+2y = -32
6x+2(8) = -32
6x+16 = -32
6x = -32-16
6x = -48
x = -48/6
x = -8
So that's how we end up with ( -8, 8 ). This point is on the line 6x+2y = -32.
Use the Associative Property to write and expression equivalent to (w+9)+3.
Please use your explanation.
The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
Solution:
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Associative property:-
[tex]\boxed{\sf (a+b)+c=a+(b+c)}[/tex]
Now
[tex]\\ \sf\longmapsto (w+9)+3[/tex]
[tex]\\ \sf\longmapsto 3+(w+9)[/tex]
On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
Question 6 of 25
Evaluate 4(x - 3) + 5x - x2 for x = 3.
-
[tex]\text{Given that,}\\\\4(x-3) +5x -x^2\\\\\text{For x =3,}\\\\4(3-3) +5(3) -3^2 = 4(0) +15 -9 = 6[/tex]