Answer:
x=3
Step-by-step explanation:
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
for a function f(x)=x^2, write an equation for that function stretched vertically by a factor of 4, and shifted 2 units to the right
the initial function is:
\(f(x)=x^2\)to stretch the fuction vertically we have to divide by 4 y so:
\(\begin{gathered} \frac{f(x)}{4}=x^2 \\ f(x)=4x^2 \end{gathered}\)now to move two units to the right we have to rest 2 in the x so:
\(f(x)=4(x-2)^2\)A car is regularly passed through a traffic signal. Out of 100 times a car passed, it got a green signal 63 times. Find the maximum likelihood estimate of the probability p of green light on a single
The maximum likelihood estimate of the probability of getting a green light on a single pass through the traffic signal is 0.63.
To find the maximum likelihood estimate of the probability p of a green light on a single pass, we need to consider the observed frequency of green lights in the given data.
1. We are given that the car passed through the traffic signal 100 times and got a green light 63 times.
2. To find the maximum likelihood estimate (MLE) of the probability p of a green light, we need to divide the number of successful green light events (63) by the total number of passes (100).
3. Calculate the MLE: p = 63/100 = 0.63
The maximum likelihood estimate of the probability p of a green light on a single pass is 0.63.
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A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...
Answer: \(9.38\times10^{33}\)
Step-by-step explanation:
Given: Molecules in a liter of water = \(3.35\cdot10^{25}\)
A certain river discharges about \(2.8\cdot10^8\) liter of water every second.
Molecules in river = \(3.35\cdot10^{25}\times2.8\cdot10^8\)
\(=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}\)
Hence, there are \(9.38\times10^{33}\) does the molecules in river per second.
Express x ⩽ −5 or x ⩾ −1 in the form ∣x+a∣ ⩾ b
Answer:
\(\mid x+3\mid\ge 2\)
Step-by-step explanation:
Inequalities
The solution for the inequality:
\(\mid x+a\mid\ge b\)
Can be expressed as:
\(x+a\ge b\)
OR:
\(x+a\le -b\)
Subtracting a to both inequalities:
\(x\ge b-a\)
\(x\le -b-a\)
Comparing to the given solutions, we have:
\(b-a=-1\)
\(-b-a=-5\)
Adding both equations:
\(-2a=-6\)
Solving:
a=3
b=2
Thus, the required inequality form is:
\(\mathbf{\mid x+3\mid\ge 2}\)
Translate the sentence into an equation.
Three more than the quotient of a number and 7 equals 6.
Use the variable w for the unknown number.
A key part of this is recognizing certain words to change into operations or numbers:
quotient = dividethree more = add 3'a/the number' = use a variable (in this case, it's w)Solving the QuestionWe're given:
Three more than the quotient of a number and 7 equals 6\(\dfrac{w}{7}+3=6\)
Identify the transformations of the parent function f(x) = |x| that give g(x) = -(3 + x).
A up 3 units, reflect across x-axis
B. up 3 units, reflect across y-axis
C. down 3 units, reflect across x-axis
D. down 3 units, reflect across y-axis
Answer:
C
Step-by-step explanation:
solve the equation: x^2+3x-7=0 give your answer to 2 decimal places
Answer:
too hard for my little brain so bye
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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Charles ran 30 ft in 4 seconds. At this rate, how many yards can Charles run in 3 minutes? please show the work
Answer:
450 yards in 3 minutes.
Step-by-step explanation:
30/4 = 7.5, which means he runs 7.5 ft per second.
7.5*60 = 450, which means that he runs 450 ft per minute.
450*3 = 1,350, which means that he can run 1,350 ft in 3 minutes.
1 yard = 3 ft
1,350/3 = 450, which means that he can run 450 yards in 3 minutes.
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Find the x value to 3x+9=6 and 3x+9=-6
Answer:
for the first one its x=5
for the second x=−5
one its Step-by-step explanation:
solve 6x-23>1
step by step plss
Answer
\(\large\pmb{\rm{x > 4}}\)
Further explanation
This is a two-step inequality. So we can do two steps and get our answer.
How to solve inequalities?
You solve an inequality just like you'd solve an equation, only instead of the equal sign you have "less than", "greater than", "less than or equal to" and "greater than or equal to" symbols.
Now, let's solve.
6x - 23 > 1
On each side, add 23.
6x > 1 + 23
6x > 24
Divide each side by 6.
x > 4
In conclusion, the solution to the inequality is x > 4.
Write the decimal form for the number name below. Six hundred six thousandths
Answer:
600.006 would be the answer
1+9+40-40+40+10x2 equals what?
Answer:
70
Step-by-step explanation:
1+9+40-40+40+10*2
----------------------- 20
10+40-40+40+20
50 (-40+40 cancels out to 0) +20
50+20= 70
(Following PEMDAS)
Multiply, add, subtract.
if you were to instead go through it left to right, you would get 120, which is incorrect.
I NEED THE ANSWER ASAP
If you were to write the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2--what would be the value of b?
y=mx+b
y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !
Answer:
M=6 OR slope=6
Step-by-step explanation:
Use slope formula
Answer:
The slope of the given line is 2Step-by-step explanation:
Slope is defined as the change of y over the change of x or rise over run. This is calculated by subtracting the second set of vales from the first set of values.
For y:
We have 10 and 4 for the y coordinates (y is the second number in a coordinate set). We will subtract 4 from 10, to get a result of 6.
For x:
We have 3 and 0 for the x coordinates (x is the first number in a coordinate set). We will subtract 0 from 3, to get a result of 3.
Slope is 6/3 or 2/1
The slope of the given line is 2write an equation in slope -intercept form for the line that passes through (-5, 5) and parallel to graph of y=4
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Part B
Select check boxes in each row to identify the fertilizing method that would best work for each example.
A farm that has delicate
crops and has many
employees
UDP
Precision
management
A gardener growing
vegetables for a family
A company that grows corn
and distributes to 10 states
The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
The fertilizing techniques that would be most effective for each example are as follows:
1. Farm with numerous workers and sensitive crops:
a. UDP (Unchecked )
b. Precision management (Checked)
2. A gardener raising produce for a family:
a. UDP (Checked).
b. Precision management (Unchecked )
3. Company that delivers corn to 10 states:
a. UDP (Unchecked)
b. Precision management (Checked)
Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
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√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
can anyone help please!?
9514 1404 393
Answer:
x = √66
Step-by-step explanation:
In a geometry like this, the right triangles are all similar. Then the length of the long side to the hypotenuse is ...
6/x = x/(6+5)
6·11 = x²
x = √66
_____
Additional comment
The relation g=√(ab) gives the geometric mean (g) of the two numbers 'a' and 'b'. In this geometry, there are three geometric mean relationships.
long side = geometric mean(long segment, hypotenuse) . . . x = √(6·11)
short side = geometric mean(short segment, hypotenuse) . . . y = √(5·11)
altitude = geometric mean(long segment, short segment) . . . BD = √(6·5)
What is the distance between the points (2,4) and (5,10)
The distance between the points (2,4) and (5,10) is,
⇒ d = 3√5
We have to given that;
To find the distance between the points (2,4) and (5,10).
Since, We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
The distance between two points (2, 4) and (5, 10) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
⇒ d = √ (5 - 2)² + (10 - 4)²
⇒ d = √ 3² + 6²
⇒ d = √ 9 + 36
⇒ d = √45
⇒ d = 3√5
Thus, The distance between the points (2,4) and (5,10) is,
⇒ d = 3√5
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WILL GIVE BRAINLIEST IF CORRECT
9514 1404 393
Answer:
5544 square units
Step-by-step explanation:
Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.
The area of a triangle is given by ...
A = 1/2bh
A = 1/2(154 units)(72 units) = 5544 square units
The areas of each of the triangles are 5544 square units.
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5sxs 9
O B. 2 sxs7
O C. 2
OD. 5
Answer is
5 gives the range of possible values for x.
Plssss helpp I’ll mark u brainliest fr
help me convert this. thankyou
Step-by-step explanation:
I've attached my working out.
Problem 2:
Priya is walking down a long hallway. She walks halfway and stops. Then, she walks half of the remaining distance, and
stops again. She continues to stop every time she goes half of the remaining distance.
1. What fraction of the length of the hallway will Priya have covered after she starts and stops two times?
2. What fraction of the length of the hallway will Priya have covered after she starts and stops four times?
3. Will Priya ever reach the end of the hallway, repeatedly starting and stopping at half the remaining distance? Explain
your thinking.
Answer:
The answers to the questions about problem 2 are:
The fraction of the length after Priya stops two times is 3/4.The fraction of the length after Priya stops four times is 15/16.Priya will never reach the end of the hallway.Step-by-step explanation:
The explanation about each answer is below:
1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:
\(\frac{1}{2}/2=\frac{1}{4}\)
If you add the two values you obtain the total distance traveled by Priya:
\(\frac{1}{2}+\frac{1}{4}= \frac{3}{4}\)
And the distance traveled in two stops is 3/4 of the total length of the hallway.
2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:
\(\frac{1}{4}/2=\frac{1}{8}\)
And in the fourth stop she will travel half of the remaining, I mean:
\(\frac{1}{8}/2=\frac{1}{16}\)
Now, we add all the values of the distances obtained:
\(\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}\)
So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.
3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.
Choose the correct description of how the graph of f(x)=x2 changes due to the transformation. Graph the function using your graphing calculator to check your answer. g(x)=−5x2
The answers are:
B. The graph of f(x) is shifted up 50 units
E. The graph of f(x) is shifted right 10 units
F. The graph of f(x) is reflected over the x-axis
How to calculate transformation?The given function is f(x) = x²
This is an upward-facing vertical parabola.
The vertex is the smallest.
The vertex's origin is at (0, 0).
g(x) = –5x² + 100x – 450
This is an open downhill vertical parabola.
The vertex is the greatest
The first thing to notice is that fx) opens up whereas g(x) opens down, indicating that a reflection across the x-axis was used.
Find the g(x) vertex.
change the form to vertex
g(x) = –5x² + 100x – 450
Complete the square
g(x) = -5(x² - 20x) - 450
g(x) = -5(x² - 20x + 100) - 450 + 500
g(x) = -5(x² - 20x + 100) + 50
g(x) = -5( x - 10)² + 50
The vertex is located at (10, 50).
To the vertex from (0,0) to (10,50)
The translational principle is
(x,y) ------> (x+10,y+50)
This implies ----> The translation is 50 units up and 10 units to the right.
The adjustments are
The f(x) graph is moved forward by 50 units.
The f(x) graph is 10 units to the right.
Over the x-axis is a reflection of the f(x) graph.
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The complete question is,
Which transformations have been applied to the graph of f(x) = x² to produce the graph of g(x) = –5x² + 100x – 450? Check all that apply.
A.The graph of f(x) = x² is shifted up 25 units.
B.The graph of f(x) = x² is shifted up 50 units.
C.The graph of f(x) = x² is shifted down 950 units.
D.The graph of f(x) = x² is shifted left 10 units.
E.The graph of f(x) = x² is shifted right 10 units.
F.The graph of f(x) = x² is reflected over the x-axis.
If you can buy 21 packages of grape tomatoes for 52.50$ then how many can you buy with 17.50$
Answer: With $17.50 you can buy 7 packs of grape tomatoes.
Step-by-step explanation: For this question you can find the answer by taking 52.50 ÷ 21 which is 2.5 so that packs are $2.50 a pack and then you can either plug in numbers or take 17.50 ÷ 2.5.
Hope this helps.
Answer:
You can only buy 7 packages. Each package cost $2.50
Step-by-step explanation:
Alright so the cost of 21 packages of grapes cost $52.50 dollars.
So to get how much 1 package cost you divide 21 into 52.50
so 52.50 divided by 21= 2.5
So each package cost $2.50
So you have $17.50 to spend
so take 2.50 and divided that by 17.50
17.50 divided by 2.5= 7 so you can only by 7 packages for $17.50
What is 0.934 (34 repeating) as a fraction?
Answer:
185 ove r198
Step-by-step explanation: