The statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
What is the base of a logarithmic function?When the base of a logarithmic function is set to a negative number, it follows that;
Such a logarithmic function wouldn't give us any real solutions.
So the base CAN NOT be negative.
Putting together all 3 conclusions, we can say that the base of a logarithm can only be positive numbers greater than 1.
Hence, the statement which is true of the base, b of a logarithmic function is; b > 0 and b = 1.
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Answer:
b > 0 and b = 1.
Step-by-step explanation:
76. In five successive hours, a car travels 40 km, 45
km, 50 km, 35 km and 55 km. In the next five
hours, it travels with an average speed of 50 km
per hour. Find the total distance the car traveled
in 10 hours.
a. 425 km
b. 450 km
c. 475 km
d. 500 km
Answer:
C
Step-by-step explanation:
C because 475 is equal to an x value of the year axis of the plate in hours
The greatest common factor of 24 and 9 is
Answer:
3
Step-by-step explanation:
A taxi charges $2.25 for the initial mile and then 30 cents per each 1/4 mile. If the total charge was $11.00, how far did the taxi travel for that fare?
Answer:
8.29 miles
Step-by-step explanation:
1 mile= 4*1/4=0.30*4=1.20
11=2.25+1.20(m-1)
8.75=1.20(m-1)
7.29=m-1
8.29=m
Please help me!!!!! 30 points
Answer:
The answer to the question in the first picture is the first one, "The thirty students studies for the test; only eight students got As."
I had a difficult time deciding whether the answer to the question in the second picture is the fourth one, "Her philosophy is that respect should not be given; it should be earned." or the first one, "Her philosophy is that respect should not be given, it should be earned." but I'm pretty sure that it is the fourth one. (I'm so sorry if it's wrong!)
The answer to the question in the third picture is the third one, "The new school will have many features: a huge gym, several science labs, and am extensive library."
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
(also, I'm really sorry if the answer for the second question is wrong)
Aeyanna has 16 coins that are dimes and quarters. In
total, the coins have a value of $3.10. How many
dimes does she have? How many quarters does she
have?
Identify your variables:
Answer:
It’s also worth pointing out that the presentation of the algebraic expressions in coin word problems are a bit different and not so straightforward compared to what we’re used to. For example, instead of saying “the number of nickels is 2 more than the number of dimes“, you’ll often see this expressed in coin word problems as “there are 2 more nickels than dimes“. Both algebraic expressions can be written in an equation as n=d+2n=d+2 but just expressed differently.
Step-by-step explanation:
Tamara has 35 coins in nickels and quarters. In all, she has $4.15. How many of each kind of coin does she have? Right off the bat, the problem gives us two important pieces of information. First, it tells us that there is a total number of 35 coins consisting of nickels and quarters. Secondly, the total value of the coins is $4.15. We need to translate these statements into algebraic equations to find how many nickels and how many quarters she has.
BTW hope this helps
The number of shoes a cobbler (shoemaker) can make varies directly with the amount of time the cobbler spends making the shoes.
If the cobbler can make 3 pairs of shoes in two hours, how would you write this equation?
Group of answer choices
y=3x
y=4x
y=2x
y=1. 5x
The pairs of shoes increases as the time the cobbler works increases
The equation of the pairs of shoes is y = kx
How to determine the equation?The variation is a direct variation.
So, we have:
y = kx
Where:
y represents the number of shoesx represents the time in hoursk represents the proportionality constantThe cobbler can make 3 pairs of shoes in two hours,
So, we have:
k = 3/2
k = 1.5
Substitute k = 1.5 in y = kx
y = 1.5x
Hence, the equation of the scenario is y = kx
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Click all that are yes
Answer:
Step-by-step explanation:
An angle measures 40.8° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
the measures of an angle would be 49.2 degrees
Step-by-step explanation:
hope this helps
so so so sorry if this answer is wrong
pls mark brainliest
HELP!!
Who had the highest mean score? Justify your answer using mathematical reasoning.
Answer:
Katie had the highest mean score.
Step-by-step explanation:
Katie had the highest mean score because her mean score was 81.4, and Annie's highest mean score was 72.4.
Answer: Katie
Step-by-step explanation: In six of out 7 times Katie had higher marks.
Annie mean is 72.42
Katie's mean is 81.42
A plane intersecting a double-napped cone is parallel to the generator. which conic section is formed? circle ellipse hyperbola parabola
Answer:
(d) parabola
Step-by-step explanation:
The attached diagram shows some of the curves that result from a plane intersecting one nap of a double-napped cone.
__
When the plane is parallel to the generator, a parabola is the curve of intersection. When the plane intersects both naps of the cone, the resulting set of curves is a hyperbola (not shown here).
Does anyone know the answer to this?? PLS HELPPP, only answer if you know!
C and D are the two square matrices
C + D
then the answer is A
☆...Hope this helps...☆
How to get rid of a square root in the denominator?.
Answer:
see explanation
Step-by-step explanation:
to clear a square root on the denominator
Multiply the numerator and denominator by the square root, for example
[tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{5}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{5\sqrt{3} }{3}[/tex]
What is the area of the triangle?
Answer:
12 inches squared :)
Step-by-step explanation:
Area of triangle: hxb/2
Now lets solve!!
4(6)/2
24/2
12
Have an amazing day!!
Please rate and mark brainliest!!
Complete the table of successive approximation to find the x-value of the solution of f(x)=g(x) to the nearest hundredth f(x)= x^2-2 g(x) = x-1
The solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
How to find the solution to a given set of function?Given the following function below:
f(x) = x^2 - 2
g(x) = x - 1
Since f(x) = g(x), hence;
x^2 - 2 = x - 1
x^2 - x - 1 = 0
Factorize to have:
x = 1/2 +√5/2 or x= 1/2 - √5/2
x = 1.62 or -0.62
Hence the solution of f(x)=g(x) to the nearest hundredth if f(x)= x^2-2 g(x) = x-1 is 1.62 or -0.62
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I need help with this question i don't understand it 5(5r+10s−5)
Answer:
25r+50s-25
Step-by-step explanation:
5(5r+10s−5)
we can follow distributive law
5*5r+5*10s+5(-5)
25r+50s-25
I NEED HELP!
[tex]-38x+43=-40x-57[/tex]
[tex]x = - 50[/tex]
-38×+43=-40×-57
-38×+43+40=-57
-38×+40×=-57-43
2×=-57+43
2×=-100
×=-50
I do not know if it's right
Given equation,
[tex] \\ \dashrightarrow \sf \qquad-38x+43=-40x-57 \\ \\ [/tex]
Adding 40x to both sides :
[tex] \\ { \dashrightarrow \sf \qquad-38x+43 + 40x=-40x-57 + 40x} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x+43=-57} \\ \\ [/tex]
Adding (-43) to both sides we get :
[tex] \\ { \dashrightarrow \sf \qquad2x+43 + ( - 43)=-57 + (- 43)} \\ \\ [/tex]
[tex] { \dashrightarrow \sf \qquad2x= - 100} \\ \\ [/tex]
Dividing 2 from both sides :
[tex] \\ { \dashrightarrow \sf \qquad \frac{2x}{2} = - \frac{100}{2} } \\ \\ [/tex]
[tex] { \dashrightarrow \tt \qquad \: x=-50} \\ \\ [/tex]
If you spin the spinner 8 times, what is the best prediction possible for the number of times it
will land on blue?
Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)
An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be done in the following manner.
2x+3y=6
3x+5y=10
Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,
[tex]2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}[/tex]
Now, substitute the value of x in the second equation,
[tex]3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2[/tex]
Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.
[tex]2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0[/tex]
Hence, the ordered pair which is the solution of the system of linear equations is (0,2).
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The mean of a set of data is 12367. The mean of absolute deviation is 350. Select the numbers below that are within the mean absolute deviation. A. 12,116 B.12,001, C. 12,990, D. 12,705, E. 12720.
The numbers given below that fall within the mean absolute deviation of the data are: C. 12,990, D. 12,705, E. 12720.
What is the Mean Absolute Deviation?The mean absolute deviation is simply the average of the distance of each of the data points there are in a data distribution.
The difference of each data point from the mean is most likely within the same range with the mean absolute vallue.
If we subtract 12,990, 12,705, and 12720 from the mean of the data, 12,367, we would get a figure close to the mean absolute deviation, 350.
So the numbers that are within the mean absolute deviation are, C. 12,990, D. 12,705, E. 12720.
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A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0. 10.
The power of this test to reject the null hypothesis if p = 0. 19 is 0. 79 using a significance level of α = 0. 5. What are two ways to increase the power of this test?
Increase the sample size and increase the significance level.
Decrease the sample size and decrease the significance level.
Decrease the sample size and leave the significance level as is.
Leave the sample size as is and decrease the significance level
The two ways which can be used to increase the power of this test is to: A. increase the sample size and increase the significance level.
What is power?In Statistics, power can be defined as the probability that a deviation from the null hypothesis would be detected by a test of significance, if such a deviation exist.
This ultimately implies that, the statistical power of a hypothesis test refers to the probability of correctly rejecting the null hypothesis provided it is false.
In this cenario, the two ways which can be used to increase the power of this test is by increasing the sample size and increasing the significance level.
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#SPJ1
Answer: A
Step-by-step explanation:
edge
PLEASEEEEE SOMEBODY HELP NOW QUICK PLEASEEE
A spinner is split into 8 equal sections. Three sections are purple, 3 sections are silver and 2 sections are white. If you spin the
spinner 240 times, how many times can you expect to land on a silver section?
a. 3
b. 37. 5
c. 90
d. 120
Answer:
c
Step-by-step explanation:
becasue it would have a 3/8 chance of landing on silver , 8 goes into 240 30 times. so if we multiply 3 by 30 it gives us 90.
Write an equation in slope-intercept form for the line with slope -4 and y-intercept 7
Answer:
y = -4x + 7
Step-by-step explanation:
slope-intercept form of a linear equation: y = mx + b
(where m is the slope and b is the y-intercept)
Given:
m = -4y = 7⇒ y = -4x + 7
What is the product? (negative 3 s 2 t)(4 s minus t) negative 12 s squared minus 2 t squared negative 12 s squared 2 t squared negative 12 s squared 8 s t minus 2 t squared negative 12 s squared 11 s t minus 2 t squared
The product of the expression (-3s + 2t) and (4s - t) is -12s² + 11st -2t². Then the correct option is D.
What is a product?It is also known as multiplication. If the object n is given to m times then we just simply multiply them.
The expression is given below.
(-3s + 2t) and (4s - t)
Then the product of the expression (-3s + 2t) and (4s - t) is given as
(-3s + 2t)(4s - t)
-12s² +3st + 8st - 2t²
-12s² + 11st -2t²
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A fireman leans a ladder against a building. The base of the ladder is 5 feet from the building. The ladder is 13 feet long. How far up the side of the building is the top of the ladder?
12 ft
Using 13 for c, and 5 for a, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height
5^2+b^2=13^2
25+b^2=169
b^2=144
b = 12
When finding the area of a circle we use the formula \large \pi r^2
true or false
Answer:
a=pir^2
you times pi with the radius squared and that is your area
add 4 to 7, then multiply 5 by the result??
Answer:
Step-by-step explanation:the second one
A vender bought an earphone for $1378 and she sold it in order to make a profit of 17. 5% calculate the profit made in cash and the selling price
The profit he made from selling his hearing aids at a profit of 17% is $234.26.
How to calculate the profit obtained?To calculate the profit obtained, we must calculate how much money is equal to 17% of $1,378.
$1,378 ÷ 100 = $13.78$13.78 × 17 = $234.26Based on the above, 17% of $1,378 equals $234.26. On the other hand, to calculate the final sale price of the earphone, we add the initial value plus the value of the profit.
$1,378 + $234.26 = $1,612.26
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Find x of the shape in picture
show all work please
Answer:
105 degrees
Step-by-step explanation:
The sum of any quadrilateral is 360 degrees. So, in order to find x, you have to subtract all the given sides from 360.
360-100-95-60=105
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PLEASE HELP ME AGAIN (surface area)
Answer:
189
Step-by-step explanation:
9 x 9 is 81 for the square. for the triangles it is 9 x 6 divided by 2 which is 24. for all 4 we do 24 x 4 which gets 108. 108 + 81 = 189
Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17. Find the rental cost for each movie and each video game.
Answer:
Let x = the price of movies and let y = the price of video games
8x + 3y = 43
2x + 5y = 32
Use the Elimination Method by multiplying both sides of the second equation by 4
8x + 3y = 43
-(8x + 20y = 128)
-17y = -85
y = 5
2x + 5(5) = 32
2x + 25 = 32
2x = 7
x = 7/2 = 3.5
Movies cost $3.50 and video games cost $5
Step-by-step explanation:
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