Answer:4log5=4log5
Step-by-step explanation:
Take the log of both sides
log5^4 =log 625
By log log a^b=b loga
4log 5=log5^4
4log5 =4log 5
Expressions and equations can be written in logarithmic forms.
The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
The equation is given as:
[tex]5^4 = 625[/tex]
Take the logarithm of both sides of the equation
[tex]\log(5^4) = \log(625)[/tex]
Apply law of logarithm
[tex]4\log(5) = \log(625)[/tex]
Divide both sides of the equation by log(5)
[tex]4 = \frac{\log(625)}{\log(5)}[/tex]
Apply change of base law of logarithm
[tex]4 = \log_5(625)[/tex]
Rewrite the equation as follows:
[tex]\log_5(625) = 4[/tex]
Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
Read more about logarithms at:
https://brainly.com/question/7988782
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is he correct? Explain. StartFraction 55 over 220 EndFraction = 25 percent
Answer:
No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
55/275 , or 20%.
Step-by-step explanation:
took the test on edg <3
Answer:
SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
275
, or 20%.
Step-by-step explanation:
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
Express the following rate as a unit rate:
Biking 16 miles in 2 hours
Answer:
8 miles in 1 hour is the answer
Answer:
[tex]\frac{8 mi}{1 hr}[/tex] (8 mi 1 hr)
Step-by-step explanation:
Biking 16 miles in 2 hours is [tex]\frac{8 mi}{1 hr}[/tex]
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
What is the graph of a quadratic equation known as?
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola.
Step-by-step explanation:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *
Answer:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points
Step-by-step explanation:
Answer:
11 points
Step-by-step explanation:
Range = Highest value - lowest value
Highest value = 24
Lowest value = 13
Range = 24 - 13
Range = 11
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)
Answer:
d
Step-by-step explanation:
The rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Translation is a way of moving an object from one location to another on the xy- plane
Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)
If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:
L'(1, 8) = (x, y) - L(7, -3)
(X, Y) = L'(1, 8) + L(7, -3)
(X, Y) = (1+7, 8+3))
(X, Y) = (-6, 11)
Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Learn more here: https://brainly.com/question/1046778
What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali
If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).
Answer:
Step-by-step explanation:
- 4x² + 10x
Answer:
[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]
Solve for:
[tex](f - g)(x)[/tex]
Solution:
Perform the subtraction:
[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]
Eliminate the parenthesis (notice the change in sign of some components):
[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]
Rearrange the expression:
[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]
Simplify the expression:
[tex](f - g)(x) = -4x^{2} + 10x[/tex]
Perform the inverse of associative property:
[tex](f - g)(x) = -2x(2x - 5)[/tex]
Hope this helps!
:)
The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices
Answer:
4.33333333
you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)
A box contains 20 different balls numbered from 1 to 20 (different balls have different numbers). At each step, we select a ball uniformly at random, record the number on it, and put it back in the box. This experiment is repeated 10 times. Find the probability that all the numbers recorded were distinct.
Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
please help for the brainliest answer
Answer:
Step-by-step explanation:
9n-2
thats the first part
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
i need help on this asap
Answer: optiond solve the values to get the answer
Best of luck for the test
What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot
Answer:
it's 10
Step-by-step explanation:
i searched it up.
1 Point
Which statement best describes the end behavior of the following function?
F(x) = 3x +4x3 - X+11
A. The graph of the function starts low and ends high.
B. The graph of the function starts high and ends high.
C. The graph of the function starts low and ends low.
D. The graph of the function starts high and ends low.
Answer:
The graph of the function starts high ends low
Step-by-step explanation:
I put the equation into Desmos
A three digit number is divided by another three digit number gives 3.724. What are the two numbers?
Answer: the numbers are 250 and 931
Step-by-step explanation:
We have two numbers of 3 digits, A and B such that:
A/B = 3.724
A = 3.724*B
now we can divide the 3.724 in two parts
3.724 = 3 + 0.724
A = (3 + 0.724)*B = 3*B + 0.724*B
So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:
0.724*B is an integer.
for example, we can start at B = 1000, and then we will start to reduce the value of B
0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.
0.724*500 = 362.
Again, we have an even number, so we can take B = 250 and the result will be also an integer number.
0.724*250 = 181.
Ok, stop here, we can suppose B = 250, then we have:
A = 3.074*B = 3.724*250 = 931
Then the numbers are 250 and 931
Reflect the shape B in the line y=x
please just state ALL the coordinates of the reflected shape
Answer:
See below.
Step-by-step explanation:
A reflection in y = x transforms point according to (x, y) ---> (y, x(, so:
(-1, 1) ----> ( 1, -1).
(-3, 3) ----> (3, -3).
(-1, 4)---> (4, -1)
(-3, 4)-----> ( 4, -3).
Solve for s 2-2s=3/4s+13
Answer:
s=-4
Step-by-step explanation:
Bring the S to one side and the numbers to the other
-11/4s=11
Then just divide, but when dividing fractions you have to switch the fraction so..
s=11*(-4/11)
s=-4
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
NEED HELP
Step-by-step explanation:
I DON'T KNOW?
4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
Pls help!! ASAP!!!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
Figure ABCD is similar to figure A′B′C′D′.
Figure ABCD is bigger than figure A′B′C′D′.
The measure of angle D is equal to the measure of angle A′.
The measure of angle D is equal to the measure of angle B′.
What is the last step when finding the area of a compound shape?
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Topic: Probability
Only complete question 6.
Answer:
see below
Step-by-step explanation:
a) see attached chart
b) sum is 10
There are 3 that total to 10 (4,6) (5,5) and (6,4) and there are 36 possible outcomes
P(10) = number of outcomes that sum to 10 / total number of outcomes
=3/36
= 1/12
c) identical numbers There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
d product a multiple of 10 ( 5,2) (5,4) (5,6) (2,5) (4,5) (6,5) are the only ones with a product multiple of 10
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
Please help me in this
Answer:
3
Step-by-step explanation:
as u add 2 + 1 from the 6 and 7 hours
Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?
Answer:
2
Step-by-step explanation:
22/11=2
The complex conjugates theorem states that
another factor of the polynomial is
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
