Answer:
Answer C
Step-by-step explanation:
The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.
Answer:
Last option
Step-by-step explanation:
They need same base inorder to apply any property
Like
log_a(bc)=log_a^b+log_a^clog_a(b/c)=log_a^b-log_a^cAlex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP
Answer: Alex 28
Frank 22
Step-by-step explanation: Age difference is 6. Addition is 50
Look at the picture down below to answer the question
options:
$12
Graph doesn't show me that information
$10.15
$11.10
Answer:
11.10
Step-by-step explanation:
you just have to look at where 5 years stops on the line
Answer:
$11.10
Step-by-step explanation:
made a line on snip tool, it went well above 11
Our basketball team won 60 percent of their games. If they lost 8 games, how many games did they play altogether?
Answer:
they played 20 games together
Step-by-step explanation:
use percentages
Let x be the number of total games.
If 60% is won games then 40% is lost games.
(8/x)*100 = 40
8/x = 4/10
80 = 4x
X = 80/4
Therefore the number of games is 20
Write the missing number to make these equivalent fractions correct
?/20=2/5
Answer:
8
Step-by-step explanation:
From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.
pls help me with this
Answer:
7 with a remainder of 2
Step-by-step explanation:
i just did the math rn
help plese will markbrainliest
Your answer is 53
Yw :D
giving brainliest to whoever can give me the right answers :)
Answer:
The First problem is empty
The second is (-oo,3) U [6,oo)
Step-by-step explanation:
Set C is defined for all reals less than or equal to. 3.
Set D is defined for all reals greater than or equal to 6.
The First cardinal want us to find when the two Set intersects. They never intersect so that the Set is empty.
The next cardinal want us to find when the Set contains both of their subsets.
Set C can be from any negative number up to 3 inclusive.
Set D start at 6, exclusively and continues forever to thr positve. So
the Set C And Set D will be
(-oo, 3) U [6,oo)
this is what i need help with
Answer:
It's B
Step-by-step explanation:
All you're doing is adding 1.5 each time
Hope this helps :)
PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
10
15
100
150
Answer:
10
Step-by-step explanation:
My guy just plug in the number for x it's not that hard
Cant find the answer
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
find the area of the shaded figure
Solve the following equation. Then place the correct number in the box provided.
6(x - 1) = 4(x - 2)
Answer:
x = -1
Step-by-step explanation:
First we expand both sides :
Let's start with the right side:
6(x-1) = 6x-6
Now we do the left side:
4(x-2) = 4x-8
Now we add 6 to both sides:
(6x-6)+6 = (4x-8)+6
Simplify:
6x = 4x -2
Subtract 4x from both sides:
6x - 4x = (4x-2) - 4x
Simplify:
2x = -2
Divide both sides by 2:
2x÷2 = -2÷2
Simplify:
x = -1
I dont see a box so can't do the second part.
Hope this helps and brainliest please
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
base= 25 mm
height= 28 mm
to find:the volume of the square pyramid.
solution:[tex]volume = {a}^{2} \frac{h}{3} [/tex]
[tex]v = {25}^{2} \frac{28}{3} [/tex]
[tex]v = 5833.33333 {mm}^{3} [/tex]
[tex]v = 5833.3 {mm}^{3} [/tex]
The probability of flipping heads or tails on
2 fair coins would be considered:
Certain
Equally likely
Likely
Unlikely
Answer:
b
Step-by-step explanation:
The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the sil price of the bicycle
the probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slapshots would you expect her to make after 120 attempts?
The image shows a circle with center (4,6) and radius 10 units.
A circle is a curve sketched out by a point moving in a plane. The point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The simple way to do such questions is to make the given circle and plot the points on the graph. As shown below.
The other way to do the question is to find the distance between the centre point of the circle and the point if it is equal to the radius of the circle, the point will lie on the circle, otherwise not.
The formula to find the distance between the two points on a graph is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence, the point that lies on the circle is (-4, 12), (-6, 6), and (4, 16).
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Help pls
I need help on this
Answer:
Slope < 0 : 1 slope between 0 and1 :3
slope greater than 1 : 2 #4 has 'undefined' slope
Step-by-step explanation:
translate the triangle then enter the new coordinates
Answer:
1,(8)
Step-by-step explanation:
x = 3-2=1
y = 4+4=8
Therefore, 1,8
Make it quick please!
What are the coordinates of the hole in the graph of the function f(x)?
f(x)=x2−9/x−3
Factor out the numerator first
y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3The hole is at x-3=0 i.e x=3
And
y=3+3=6The hole is at (3,6)
A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.
Arithmetic sqaure: a + (n-1) * d
where "a" is the first term, "d" is the common difference
Here given:
a = 10 gallons
d = 5.5 gallons
nth term: 10 + (n-1) * 5.5Solve for first 5 terms:
10 + (1-1) * 5.5 = 10
10 + (2-1) * 5.5 = 15.5
10 + (3-1) * 5.5 = 21
10 + (4-1) * 5.5 = 26.5
10 + (5-1) * 5.5 = 32
first five terms: 10, 15.5, 21, 26.5, 32
General formula
a_n=a+(n-1)da_n=10+(n-1)5.5So
a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.5Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686
The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
What is geometric series?In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms
A. 6 + 13 + 20 + 27 .
the difference between two terms are 13-6 = 7 , 20-13= 7
The terms are increasing by 7. So it is not geometric
B. 7 + 21 + 35 + 45
the difference between two terms are 21-6 = 14 , 35-21= 14
The terms are increasing by 14. So it is not geometric
C. 14 + 21 + 28 + 35
the difference between two terms are 21-14 = 7 , 28-21= 7
The terms are increasing by 7. So it is not geometric
D. 2 + 14 + 98 + 686
Here the difference is not same, so we find the ratio
14/2= 7
98/14= 7
686/98= 7
So common ratio is 7
When the common ratio is same then it is Geometric series
Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
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Answer:
D
Step-by-step explanation:
multiplied by 7 each time
Using the numbers 1 to 9 (inclusive), without repeating any numbers, fill in the boxes to write two equivalent equations. The top equation is written in slope-intercept form. The bottom equation is written in standard form.
1The two equivalent equations will be
1. [tex]y=\dfrac{-6}{4}x+10[/tex]
2. [tex]3x+2y=5[/tex]
What is linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The required two equivalent equations are
[tex]y=\dfrac{-6}{4}x+10[/tex]
[tex]3x+2y=5[/tex]
The above equation has no repeating numbers and fulfill the criteria.
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Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected from the 5 classrooms is below.
10, 7, 9, 11, 8
The value that could be the best measure of the center of this data is__.
Answer:
45 im not to shur
Step-by-step explanation:
10 + 7 + 9 + 11 + 8 = ?
? = 45
Which statement correctly describes the function?
f(x)=
[6x-5, ifx>0
2x-10, ifx≤0
OA. It is continuous.
OB. It is discontinuous because there is a value for a for which f(a) is not defined.
OC. It is discontinuous because there is a value of a such that lim f(x) = f(a).
X-a
OD. It is discontinuous because there is a value for a such that lim f(x) does not exist.
Answer:
D) It is discontinuous because there is a value for a such that [tex]\lim_{x \to \\a } f(x)[/tex] does not exist.
Step-by-step explanation:
Just did the practice.
What is the slope of the line that passes through the points (-1, 6) and (14, 3)? Write your answer in simplest form.
the slope is m= -1/5.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
y_2 - y₁ = m(x₂ - x₁).
here, we have,
the slope of the line that passes through the points (-1, 6) and (14, 3)
Slope: m= y_2 - y₁/(x₂ - x₁).
= 3-6/14+1
= -1/5.
hence, the slope is m= -1/5.
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How many meters are in 360in?
Answer:
9.411
Step-by-step explanation:
Answer:9.144
Step-by-step explanation:
At Shannon's Pancake House there are 228 dirty coffee mugs and 247 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty? Write your answer using a percent sign
Answer:
48%
Step-by-step explanation:
First, we need to add the amounts together to be able to see what percent of all the cups are dirty. (228 + 247 = 475). Now we can find one percent of 475 we can do this by moving the decimal point two to the left. (4.75). so If 4.75 is 1% we can multiply 4.75 until we get 228.
4.75 x 20 = 95.
4.75 x 40 = 190
4.75 x 45 = 213.75
4.75 x 50 = 237.5
4.75 x 48 = 228
Since every time we multiplied by 1 more we went up 1%. We multiplied by 48 so 48%.
If
5sin 2x +4 = 10 sin ²x, show
that tanx = 2 or tan x =-1/3
[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]
[tex]\implies 3 \tan x( \tan x -2) + (\tan x -2) = 0\\\\\implies (\tan x -2) ( 3 \tan x +1) = 0\\\\\implies \tan x = 2 ~~ \text{or}~~ \tan x = - \dfrac 13\\\\\text{Showed.}[/tex]1. What is( - 1/2 + 2)
2. 4( 1/2+5/4) + (-5)
(please answer, I will mark brainliest)
:)
1)
[tex]\longrightarrow (-\dfrac{1}{2} +2)[/tex]
[tex]\longrightarrow (-\dfrac{1}{2} +\dfrac{4}{2} )[/tex]
[tex]\longrightarrow \dfrac{-1+4}{2}[/tex]
[tex]\longrightarrow \dfrac{3}{2}[/tex]
[tex]\sf \bold{\longrightarrow 1\dfrac{1}{2}}[/tex] (final answer)
2)
[tex]\longrightarrow \sf 4(\dfrac{1}{2} +\dfrac{5}{4} ) + (-5)[/tex]
[tex]\longrightarrow \sf 4(\dfrac{2}{4} +\dfrac{5}{4} ) + (-5)[/tex]
[tex]\longrightarrow \sf 4(\dfrac{7}{4} ) + (-5)[/tex]
[tex]\longrightarrow \sf 7-5[/tex]
[tex]\longrightarrow \bold{\sf 2}[/tex] (final answer)