The exponential form of the logarithmic equation 4 = [tex]log_{0.7} (0.2401)[/tex] is
0.7⁴ = 0.2401
4 = [tex]log_{0.7} (0.2401)[/tex]
The exponential form of the logarithmic equation can be represented below:
Using logarithm rules,
logₐ b = x
Can be represented in exponential form as follows:
aˣ = b
Therefore,
4 = [tex]log_{0.7} (0.2401)[/tex]
using the logarithm rule described above can be represented in exponential form as follows:
0.7⁴ = 0.2401
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Answer:
0.7⁴ = 0.2401
Step-by-step explanation:
Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?
The cost per minute is an illustration of proportionality constant.
The cost per minute is of running Alecia's air conditioner is $0.01
The cost function is given as:
[tex]\mathbf{C(m) = 0.01m}[/tex]
Where C represents the cost, and m represents the number of minutes
A proportional relationship is represented as:
[tex]\mathbf{y =kx}[/tex]
Where k represents the constant of proportion.
So, by comparison:
[tex]\mathbf{k = 0.01}[/tex]
In this case, the proportionality constant is the same as the cost per minute.
Hence, the cost per minute is $0.01
Read more about proportionality constant at:
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If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?
2^-5 =
Can someone please help
Answer:
[tex]\frac{1}{32}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
A restaurant customer left $1.10 as a tip. The tip was 10% of the cost including tax. What was the total bill?
Answer:
11
Step-by-step explanation:
so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply
Fill in the missing information in the chart.
Answer:
Point Slope equations:
[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]
Slopes:
3-95Points on the line:
(5,6)(-8,4)(0,2)Step-by-step explanation:
Basically we use this formula to solve each column [tex]y-y_{1} =m(x-x_{1})[/tex]
m = slope
[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]
Finds the value of x
Answer:
2 x or 3x
Step-by-step explanation:
because is have x
Answer:
x = 30
Step-by-step explanation:
The sum of the exterior angle and interior angle of a polygon = 180°
Then the 2 unknown interior angles are
180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x
The sum of the 4 interior angles of a quadrilateral = 360°
sum the 4 interior angles and equate to 360
2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is
- x + 390 = 360 ( subtract 390 from both sides )
- x = - 30 ( multiply both sides by - 1 )
x = 30
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
Write an equation in slope-intercept form of the line please help me
Answer:
The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.
it is equal to (y - 4) = m(x - 0)
and now we look for the slope
m = y2 - y1/ x2 - x1
which can be directly substituted according to every line connecting each x value to a certain y value.
3 comic books for $6.75
Answer:
1 comic book for $2.25
Step-by-step explanation:
If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.
Tell me if I'm wrong :)
Answer:
$6.75/3= $2.25 per comic book
Step-by-step explanation:
0.22y × 0.06 =
please help me
Answer:
0.0132y :DDDDDDDDDD
The population of a place was 56000. Next 5 years it is expected to rise by 50%. What will be the population in next 5 years?
Answer:
84000 people
Step-by-step explanation:
So next 5 year wil be 56000 + 50%
56000 = 100%
50% = 56000 / 2
50% = 28000
56000 + 28000 = 84000
Which of the following lines has a negative slope?
Is it Red
Is it Black
Is it Blue
Answer:
black line <3
Step-by-step explanation:
the slope is -2 :)
A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.
I hope this helps! :)
Consider the two triangles.
В.
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
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Answer:
By Both
Step-by-step explanation:
You have all 3 corresponding sides are proportional so you have SSS. That is
24/8=15/5=18/6
You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.
To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.
Such that 24/8=15/5=18/6
We also have SAS because 15/5=18/6 and you have the angle between the sides.
Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.
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the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line
Answer:
No answer i can provide
Step-by-step explanation:
If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.
Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.
Hope this helps!
Answer:
line is y = 1
Step-by-step explanation:
the question is talking about loci, in this case 2 point
these 2 points are (3,-2) and (3,4)
draw a line to connect these to points and bisect the line.
to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .
then draw another arc at the sencond point
were the 2 arcs meet draw a line - this straight line will be the answer.
y = 1
Find the perimeter. Simplify your answer.
Answer:
10u-16
Step-by-step explanation:
Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:
2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16
Answer:
10u - 16Step-by-step explanation:
Perimeter = 5u - 10 + 5u - 10 + 2 + 2
= 10u - 16...ans
Hope it Helps you!!Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.
32 to 40.
Answer:
Step-by-step explanation:
bro i dont know sory
Answer:
The number increased by 25%.
Step-by-step explanation:
If you divide 32 into 40 (40 / 32), it will get you 1.25.
Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.
0.25 is a 25% increase
(6.-1);y=-5x+3
slope intercept form
Answer:
y = x + 4 y= x − 8 25 x + y =
3
Step-by-step explanation:
Is this right? Please let me know
Answer:
See below:
Step-by-step explanation:
No, it appears to be incorrect if its based off the image you have provided.
I can help you make it correct though.
I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.
Equations
So, to find the slope, we need to get an equation. Most slope's are in the [tex]y=mx+b[/tex] form which have a few components that we need to know to figure it out.
[tex]m[/tex] is the slope of the line.[tex]b[/tex] is the y intercept: (0,b)Now that we know this, we can start breaking i down and soon begin graphing.
The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.
Graphing
To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.
So, our points would be:
(0,6)(1,9)Cheers!
Juan rolls a number cube 40 times, he rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?
Answer: 6/40 = 3/20
Step-by-step explanation:
The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:
P= Time the event occurs/ Total number of trials
In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40
because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6
because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40
Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflection of L across the x-axis. The fire station is located at L′′, a reflection of L′ across the y-axis. Identify the ordered pair that describes the location of the fire station. Express your answer using decimal notation.
(__,__)
Answer:
(1.75, 3)
Step-by-step explanation:
Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).
This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and the x coordinate changes sign, going to it's final destination (1,75, 3)
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
How to lnow the numberof turning points in a function.
Answer:
The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).
What is the final amount if 700 is decreased by 6% followed by a 7% increase?
Give your answer rounded to 2 DP.
Answer:
700 -6% =658 and 658-7%=611.94
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 95% pure antifreeze. The company wants to obtain 285 gallons of a mixture that contains 55% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
premium: 165 gallonswater: 120 gallonsStep-by-step explanation:
Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:
0.95a +0(285 -a) = 0.55(285)
a = 0.55/0.95(285) = 165 . . . gallons of 95%
285 -a = 285 -165 = 120 . . . . gallons of water
There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.
what is 23 in binary
Answer:
vanadium
Step-by-step explanation:
Answer:
10111Step-by-step explanation:
may it will help you
A line has a slope of 1.25 and passes through the point (0, -3). What is the equation of line?
Answer:
y = 1.25x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1.25 and (0, - 3 ) ⇒ c = - 3
y = 1.25x - 3 ← equation of line
Solving the quadratic equations using by completing the square.
Step-by-step explanation:
1-
(x+3)(x+5)=0
2-
(x-3)(x+1)=0
3-
(x-2)(x+2)=0
4-
(x+3)(x-1)=0
5-
(x-4)(x+8)=0
if it is right
please give me a brainlest
What is the degree of angle o?
Answer:
48°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Use the transitive property of equality to finish the equations
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x
PLEASE HELP will give 40 points
Answer:
Here are your 3 answers! Hope this helps please mark brainliest! Thanks :)
Step-by-step explanation:
11. X=10
12.X=-9
13.X=7
Answer:
The first one x = 10.
The second one x = -9
The third one x = 7
Step-by-step explanation: