Answer:
1000√10or 3162.2776601683795
Step-by-step explanation:
what is the square root of 10,000,000?
√10000000
= √2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5
= √26 x 2 x 56 x 5
= 1000√10
or 3162.2776601683795
The equation -x = y + 7 written in slope-intercept form is
Answer:
y= -x-7
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y intercept
The first thing you must do is isolate y so that it is by itself on the left side of the equation:
-x = y + 7
Subtract 7 to both sides:
-x - 7 = y + 7 - 7
-x - 7 = y
Flip:
y = -x - 7
-x = y + 7 in slope intercept form is y = -x - 7
This means the slope is -1 and the y-intercept of the equation is (0, -7)
help please i dont get it
Answer:
(c) x = 2 and x = -8
Step-by-step explanation:
The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.
__
The rules of logarithms that apply are ...
[tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]
__
take antilogsWe can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.
[tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]
__
solve the quadraticAdding (6/2)² = 9 to both sides will "complete the square."
16 +9 = x² +6x +9 . . . . . . . add 9
25 = (x +3)²
±√25 = x +3 = ±5 . . . . . take the square root(s)
x = -3 ±5 = {-8, +2}
The two potential solutions are x = 2 and x = -8.
[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]
[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]
Take 4 right[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]
[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]
[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]
Help asap
What is the end behavior of the following graph
Using limits, it is found that the end behavior of the graph is given as follows:
It rises to the left, and stays constant at y = -4 to the right.
What is the end behavior of a function f(x)?It is given by the limits of f(x) as x goes to infinity.
In this problem, the function is given by:
[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]
Hence:
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]
Hence:
It rises to the left, and stays constant at y = -4 to the right.
More can be learned about limits and end behavior at https://brainly.com/question/22026723
#SPJ1
please help me
I'll mark you brainlist
Answer:
There are 16 notes of 20 paise's and 12 notes of 5 paise's.
Explanation:
The amount of notes for of 20 paise and 5 paise coins are not given.
So let there be x 20 paise's coins and y 5 paise's coins.
Equation buildup:
20x + 5y = 380 ___eq 1
20y + 5x = 380 - 60
20y + 5x= 320 ___ eq 2
Make x the subject for both:
1st
[tex]\rightarrow \sf 20x + 5y = 380[/tex]
[tex]\rightarrow \sf 20x = 380-5y[/tex]
[tex]\rightarrow \sf x = 19-0.25y[/tex]
2nd
[tex]\sf \rightarrow 20y + 5x = 320[/tex]
[tex]\sf \rightarrow 5x = 320-20y[/tex]
[tex]\sf \rightarrow x= 64-4y[/tex]
Solve them simultaneously:
[tex]\sf \rightarrow 64-4y =19 - 0.25y[/tex]
[tex]\sf \rightarrow -4y+0.25y =19 -64[/tex]
[tex]\sf \rightarrow -3.75y =-45[/tex]
[tex]\sf \rightarrow y =12[/tex]
Find x:
[tex]\sf \rightarrow x = 64-4y[/tex]
[tex]\sf \rightarrow x = 64-4(12)[/tex]
[tex]\sf \rightarrow x = 16[/tex]
HJ=
help me please thannk u :)
Answer:
10 is the answer. hj is 10
A rotation R takes A(1,-3) to A'(3,5) and B(0,0) to B'(4,-6). find the centre of rotation?
The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given points;
A(1,-3)
A'(3,5)
B(0,0)
B'(4,-6)
C is the center point of rotation.
The given points are plotted on the graph and obtained as the center of rotation will be (0,4).
Hence the center of rotation will be (0,4).
To learn more about the circle, refer to the link: https://brainly.com/question/11833983.
#SPJ1
Mr.krabs sold a total of 29 krabby patties and krabby shakes. krabby patties cost $3 each while krabby shakes cost $2 each and he made a total of $70 . how many krabby patties and krabby shakes did mr.krabs sell?
Answer:
s = 12 and p = 17
Step-by-step explanation:
→ Set up 2 simultaneous equations
p + s = 29
3s + 2p = 70
→ Rearrange the first equation for p as the subject
p = 29 - s
→ Substitute into 2nd equation
3s + 58 - 2s = 70
→ Solve
s = 12
→ Substitute into first equation
p + 12 = 29
→ Solve
p = 17
Select the graphs that show a proportional relationship between x and y
Please help!!!
What is the area of , given that θ=π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show all your work.
Answer:
A = 1.5 π in² ≈ 4.7 in²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]
= π × 3² × [tex]\frac{1}{6}[/tex]
= 9π × [tex]\frac{1}{6}[/tex]
= 1.5π in²
≈ 4.7 in² ( to the nearest tenth )
A square plastic tarp has sides that are 6 meters long. what is the tarp's area
Answer:
no comprendo nada de esto lo siento
Step-by-step explanation:
no comprendo
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table:
Male Female
Type A 65 85
Type B 38 12
Male type B = Type B Male/Total Male
Female type B = 38/(65+38) = 12/103 = 0.11
Male or Type B= Male + Type B female/ total
= 103+12/(97+103)= 135/200 = 0.675
P(Male or Type B) > P(Male |Type B)
Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Find a rational number between -1/3 and 1/2
Answer:
1/6
Step-by-step explanation:
Rational numbers between two rational numbers:
First find the Least Common Denominator for 2 and 3Then find equivalent fractions with the LCD.LCD of 2 and 3 = 6
[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]
[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]
Select the two binomials that are factors of 49x^2 - 36
A. 7x + 12
B. 7x - 3
C. 7x + 6
D. 7x - 6
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
How to find the factors of subtraction of squares
A subtraction of squares is a binomial which satisfies the following property:
a² - b² = (a - b) · (a + b) (1)
If we know that a² = 49 · x² and b² = 36, then we have the following factors:
49 · x² - 36 = (7 · x - 6) · (7 · x + 6)
By definition of the subtraction of squares, the binomial 49 · x² - 36 have the following two factors: 7 · x + 6, 7 · x - 6 (Correct choices: C, D)
To learn more on binomials: https://brainly.com/question/20331440
#SPJ1
The theater sells two types of tickets: adult
tickets for $17 and child tickets for $10.
Last night, the theater sold a total of 403
tickets for a total of $5563. How many adult
tickets did the theater sell last night?
Show your work here
PLEASE HELP
Answer:
219
Step-by-step explanation:
adulta 219×17=3723
5563-323=1840
1840÷10=184 kids
219+184=403
What should be done to both sides to solve the equation?
Solve x-2=10
Answer:
add 2 to each side of the equation
Step-by-step explanation:
x-2=10
To solve for x, we need to add 2 to each side of the equation
x-2+2 = 10+2
x = 12
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answer:
-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3
Step-by-step explanation:
for this question you are choosing the lines that do not touch
the graphs for the second third and fourth ones all touch
but
the first and last one do not
therefore those are the ones with no solution
Answer:
Graph 1 and Graph 5
Step-by-step explanation:
As the first and final graphs do not intersect at any points on their graphs, they have no solution.
Which graph represents the function f(x) = 3x-2/X-2
Answer:
Step-by-step explanation:
(6+9)2+6(600-9)+600 divide 30
Step-by-step explanation:
GIVEN
HERE
= 6+9+2+6+600÷30 { firstly add numbers }
= 623 ÷ 30
= 20
I think you understand
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
The area of the deck that surrounds the hot tub is 17.93 m²
What is Area?
The area is the amount of space within the perimeter of a 2D shape.
radius = 3/2 = 1.5 m
Area of deck,
=Area of square - area of circle
= side side- πr²
=5*5 - 3.14* 1.5*1.5
= 25- 7.065
= 17.93 m²
Learn more about this concept here:
https://brainly.com/question/12744368
#SPJ1
What is the y-intercept of the function f(x) = 2.3*?
A. (0,6)
B. (2,0)
C. (0,2)
OD. (0,3)
For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8
Answer:
B) 3
Step-by-step explanation:
f(3) = 3^2 + 3(3) = 9 + 9 = 18
Yuki wants to make a reduced-size copy
of a drawing. The original drawing is
14 inches long. Yuki's copier can only
reduce by 75%. Find the length of a copy
after Yuki reduces it 4 times at 75% each
time. Round your answer to the nearest
hundredth of an inch.
Question 33 of 45 You may use your calculator for this question. A particle moves along a line so that at time t where 0 ≤t≤n, its position is given by s(t)=-4 sint- t/2+10. What is the acceleration of the particle the 2 first time its velocity equals zero?
The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.
We have
[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]
Find when the velocity is zero:
[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]
At this time, the acceleration of the particle is approximately
[tex]s''(1.696) \approx \boxed{3.969}[/tex]
(B)
Simplify the expression
-17.8a-2.4a+25-19.5
Answer:
-20.2a+5.5
subtract the values with a in it and the ones without the a together.
The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .
Answer:
Step-by-step explanation:
If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the points are (2,7)
The slope of line A is,
m = 6/2
m=3
The equation of the line is,
y-(-1)=3x
y=3x+1
Since the line B is parallel to A the slope of the line is the same,
y-(-7)=3(x-2)
y=3x+1
Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Question 5 of 10
Choose the symbol that correctly compares the fracti-
-IN
113
1/2 1/2
A. >
B. =
C.
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.
A function assigns the values. The correct option is B and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is 16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,
The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) = 16t represents the scenario.
Hence, the correct option is B and E.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
Answer:
B and E
Step-by-step explanation:
correct on Edge
Does this graph represent a proportional relationship? Explain.
On a coordinate plane, a curved line has 2 curves.
Answer:
No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.
Step-by-step explanation:
If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.
So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.
For reference, you can check the attached image also.
Read more about graphs representing the proportional relationship at:
https://brainly.com/question/19364302?referrer=searchResults
#SPJ10
Distribute and simplify these radicals.
[tex]\sqrt{12} times(-1+\sqrt{5} )[/tex]
Answer:
[tex]-2\sqrt{3} +2\sqrt{15}[/tex]
Step-by-step explanation:
When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].
Please please help! translate the phrase into a variable expression. use the letter p to name the variable. if necessary, use the asterisk (*) for multiplication and the slash (/) for division
... the total number of parrots in the jungle and the 2 parrots your neighbor owns ...
The expression p+2 will denote the statement given
What is a Variable ?A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.
It is given that
the total number of parrots in the jungle and the 2 parrots your neighbor owns
Let p be the total parrots in the jungle
p+2 will denote the statement given
To know more about Variable
https://brainly.com/question/15740935
#SPJ1