Unit conversion is a way of converting some common units into another without changing their real value. The lemonade left with Tony is 4500ml.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
One litre is equal to 1000 millilitres. Tony made 14 Liter of lemonade, therefore, Tony made 14,000 millilitres of lemonade. His guest drank 9500 millilitres. Therefore, the lemonade left with Tony is,
Lemonade left = 14,000 - 9,500 = 4,500 ml
Hence, the lemonade left with Tony is 4500ml.
Learn more about Units conversion:
https://brainly.com/question/4736731
#SPJ1
y-7 = (12-x)2 in vertex form
Answer:
y = -2x + 31
Step-by-step explanation:
Vertex form a parabola refers to a place or a point where it turns. It takes the form of;
y = mx + c
From our question, we are supposed to convert the equation y-7 = (12-x)2 into vertex form.
To begin, open the brackets on the RHS;
y - 7 = 24 - 2x.
Then move -7 to the RHS which becomes the positive.
Y = 24 - 2x + 7
= 31 - 2x
Convert it to the form y = mx + c.
y = -2x + 31
This is the vertex form, y = -2x + 31.
Note:
For a standard form/quadratic, the equation has to be in the form ax² + bx + c = yPLEASE HELP I REALLY NEED IT!!!!
Detailed explanation please
So Explicit formula for 2nd one
2a_{a-1}Or general formula as per Geometric progression
a_n=ar^{n-1}=1(2)^{n-1}For 50 years there are 365(50)=18250days excluding leap years (We will check for leap year if neck to neck situation arises)
Now find sum
Sum of 18250 terms
[tex]\\ \rm\Rrightarrow \dfrac{a(r^n-1)}{r-1}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1(2^{18250}-1)}{2-1}[/tex]
1 from both denominator and numerator cancels out
[tex]\\ \rm\Rrightarrow 2^{18250}-1[/tex]
[tex]\\ \rm\Rrightarrow 6.272214002E5493[/tex](Accurate)
It's far more than 1 M so second option would give you more penny
O Both x and y are positive.
O Both x and y are negative.
Ox is positive, and y is negative.
Ox is negative, and y is positive.
The point P(x, y) lies on the terminal side of an angle = -60° in standard position. What are the signs of the values
of x and y?
The value of x has a positive sign and the value of y has a negative sign. Option C
What is a unit circle?An angle in the unit circle of angle α with a radius of 1 with the set of points;
cos α and sin α
In the given problem, we have the angle as -60º, which is equal to an angle of 360 - 60 to give us 300º
Also, it is in the fourth quadrant, where the cosine is positive and the sine is negative.
Thus, the value of x has a positive sign and the value of y has a negative sign.
Learn more about unit circle here:
https://brainly.com/question/23989157
#SPJ1
olve the following proportion.
x-1
5
x-1
2
x = [?]
=
Hello
Answer:
Look at the picture.
The solution to the given proportion (x-1)/5 = (x-1)/2 is equal to x = 1.
To solve the proportion (x-1)/5 = (x-1)/2, we need to find the value of x that satisfies the equation. Cross-multiplication is a common method used to solve proportions.
First, cross-multiply the equation:
2(x - 1) = 5(x - 1)
Now, distribute the values on both sides:
2x - 2 = 5x - 5
Next, isolate the variable x on one side of the equation. Let's move all terms containing x to the left side of the equation by subtracting 2x from both sides:
2x - 2 - 2x = 5x - 5 - 2x
-2 = 3x - 5
Now, let's move the constant term (-5) to the other side of the equation by adding 5 to both sides:
-2 + 5 = 3x - 5 + 5
3 = 3x
Finally, to find the value of x, divide both sides by 3:
3/3 = 3x/3
1 = x
To learn more about proportion click on,
https://brainly.com/question/29104459
#SPJ2
Select the correct answer.
Three corporations each own land. Corporation A owns 3.2 × 105 acres, corporation B owns 4 × 104 acres, and corporation C owns 4.3 × 105 acres. Which corporation owns the most land? How many times greater is corporation A’s land than corporation B’s land?
A
Corporation A owns the most land. Corporation A owns 8 times more land than corporation B.
B.
Corporation B owns the most land. Corporation A owns 4 times more land than corporation B.
C.
Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.
D.
Corporation C owns the most land. Corporation A owns 80 times more land than corporation B.
E.
Corporation A owns the most land. Corporation A owns 40 times more land than corporation B.
Using scientific notation, the correct statement is given by:
C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:
Corporation A: [tex]3.2 \times 10^5 = 320000 = 320,000[/tex].Corporation B: [tex]4 \times 10^4 = 40000 = 40,000[/tex].Corporation C: [tex]4.3 \times 10^5 = 430000 = 430,000[/tex].Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.
More can be learned about scientific notation at https://brainly.com/question/16394306
#SPJ1
When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7? When a is divided by 7 , the remainder is 5 ; and when b is divided by 7 , the remainder is 4. What is the remainder when a + b is divided by 7 ?
Answer:
9
Step-by-step explanation:
35(a) / 7 = 5
28(b) / 7 = 4
a + b = 35 + 28
35 + 28 = 63
63 / 7
= 9
Hope that helps! :)
A geometric series has a sum of 1365. Each item increases by a factor of 4. If there
are 6 terms in the series, find the value of the first term.
Answer:
1
Step-by-step explanation:
So the sum of a finite geometric series can be defined as: [tex]S_n = \frac{a_1-a1*r^n}{1-r}[/tex] where r is the constant ratio or how much more greater the current term is, compared to the previous term (how much it's being multiplied by), and the n is the number of terms in the series. So with the given information you have the equation:
[tex]1365=\frac{a_1-a_1*4^6}{1-4}[/tex]
Simplify:
[tex]1365=\frac{a_1-4096a_1}{-3}[/tex]
Multiply both sides by -3
[tex]-4095 = a_1-4096a_1[/tex]
Subtract coefficients
[tex]-4095=-4095a_1[/tex]
Divide both sides by -4095
[tex]1 = a_1[/tex]
2 over 6 = Y over 9 Fraction equation is required
Answer:
y = 3Step-by-step explanation:
2 over 6 = Y over 9 Fraction equation is required
2/6 = y/9
y = 2/6 * 9
y = 3
check
2/6 = 3/9
1/3 = 1/3
the answer is good
median of 102 116 146 148 148 in feet
Answer:
146
Step-by-step explanation:
arrange your values in descending order then cancel out last value with the first value.
the middle value would be your answer.
hope it was helpfull.please give me a thanks
The triangles shown below must be congruent.
Answer:
Yes, they are congruent
Step-by-step explanation:
The triangles are congruent as they follow the ASA rule or, Angle Side Angle.
All the angles AND sides are corresponding, so they are congruent.
Hope this helped (:
20. Find the solution to the system of linear equations below:
x - 3y = -5
2x + 5y = 12
O (-5, 12)
O (3,2)
O (-2,7)
O (1,2)
Answer:
(1, 2)
Step-by-step explanation:
So you can solve this systems of equations by substitution. Substitution involves "finding" the value of one of the variables and then substituting that into the other equation
In this example I'll try to define an equation equal to that of "2x" using the first equation and then substitute that into the second equation
Given:
[tex]x-3y=-5[/tex]
Add 3y to both sides
[tex]x=3y-5[/tex]
Multiply both sides by 2
[tex]2x = 6y-10[/tex]
Given:
[tex]2x+5y=12[/tex]
Substitute 2x as (6y-10)
[tex](6y-10)+5y=12[/tex]
Simplify
[tex]11y-10=12[/tex]
Add 10 to both sides
[tex]11y = 22[/tex]
Divide both sides by 11
[tex]y=2[/tex]
Plug 2 in as y (works for either given equation)
[tex]x-3(2)=-5[/tex]
simplify
[tex]x-6=-5[/tex]
add 6 to both sieds
x=1
 Find the value of x. Round to the nearest tenth. 1.4 2.1 2x
Step-by-step explanation:
ATTACHED IS THE SOLUTION!!!The value of x is 1.56ft.
What is the Pythagoras theorem?The Pythagoras theorem states that the sum of the squares of the base and height is equal to the square of the hypotenuse of the right-angle triangle.
If p is the height, b is the base and h is the hypotenuse then according to the Pythagoras theorem
p²+b²=h²
Here given that the radius of the circle is r=2.1 ft
the perpendicular distance from the center of the circle to the line =1.4ft
that perpendicular line will bisect the line of length 2x.
Foe which each half of the line will be x.
Applying Pythagoras theorem in the right-angle triangle,
1.4²+x²=2.1²
⇒1.96+x²=4.41
⇒x²= 4.41-1.96
⇒x²= 2.45
⇒x= 1.56 ft
Therefore the value of x is 1.56ft.
Learn more about the Pythagoras theorem
here: https://brainly.com/question/343682
#SPJ2
The test statistic of z=-3.32 is obtained when testing the claim that p=1/2. a. Using a significance level of a=0.05, find the critical value(s). b. Should we reject H0 or should we fail to reject H0 ?
The critical value and the conclusion are mathematically given as
z_{0.05}=1.960 and z<Zcritical, therefore we Reject H_o
What are the critical value and the conclusion?a)Test statistic z=-3.32
Claim: p< 0.5
a=0.05
critical value z_{0.05}
z_{0.05}=1.960
b)
z<Zcritical,
Beause z=-3.32< z_{0.05}=1.960 Reject H_o
In conclusion,
z_{0.05}=1.960 and z<Zcritical, therefore we Reject H_o
Read more about Probability
https://brainly.com/question/11234923
#SPJ1
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg, end text of corn in total for her next order. White corn costs $0.30 per kilogram, yellow corn costs $.015 per kilogram, and she wants to spend 12 dollars total.
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys the intended amount of corn.
Explanation: Point E is on line a, so it represents a scenario where she spends a 12 dollar sign, Also, point E is on line b, so it represents a scenario where she buys 50kg end text of corn.
Option A. The answer to the question is Marcelina spends the intended amount of money and buys the intended amount of corn.
How to solve for the intended amount of corn from the graphWe can see a point that takes us to the amount that the corn was bought and the quantity that was obtained.
This shows that she is in range of what she was asked to buy. E shows us the amount that was spent as 12 dollars and the quantity of 50kg.
Read more on graphs here:
https://brainly.com/question/19040584
#SPJ1
Gordon rolls a fair dice 216 times. How many times would Gordon expect to roll a four?
Answer:
36
Step-by-step explanation:
1/6(216/1)
what is the remainder of 2x^3-12x^2+11x+2 divided by x-5
Answer:
7
Step-by-step explanation:
When x = 5, 2x³ - 12x² + 11x + 2 = 7.
Type of matter where all of
the atoms that make up the
matter are exactly the same
Answer:
Pure substance
Step-by-step explanation:
A pure substance is matter that is uniform throughout and has consistent properties
If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)?
The transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)If f(x) = x³ and g(x) = -2x³, then the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
Hence, the transformation that is applied to f(x) to get g(x) is that the function f(x) is vertically stretched by a factor of -2.
Learn more about Transforming functions:
https://brainly.com/question/17006186
#SPJ1
what is the independent variable of "i did 60 brush strokes in 1 minute"
The independent variable is brush strokes
How to determine the independent variable?The statement is given as:
"I did 60 brush strokes in 1 minute"
The independent variable is the action that is done.
From the statement.
The action is the strokes of brush
Hence, the independent variable is brush strokes
Read more about independent variable at:
https://brainly.com/question/1479694
#SPJ1
Which of the following equations have complex roots?
Please help - trying to get my HS diploma because I did not graduate :(
Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the discriminant is negative.
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0[/tex]
Evaluate the discriminant of each of the given equations.
[tex]\textsf{A.} \quad 3x^2+2=0[/tex]
[tex]\implies a=3, \quad b=0, \quad c=2[/tex]
[tex]\implies b^2-4ac=0^2-4(3)(2)=-24[/tex]
As -24 < 0 the equation will have complex roots.
[tex]\textsf{B.} \quad 2x^2+1=7x[/tex]
[tex]\implies 2x^2-7x+1=0[/tex]
[tex]\implies a=2, \quad b=-7, \quad c=1[/tex]
[tex]\implies b^2-4ac= (-7)^2-4(2)(1)=41[/tex]
As 41 > 0 the equation does not have complex roots.
[tex]\textsf{C.} \quad 3x^2-1=6x[/tex]
[tex]\implies 3x^2-6x-1=0[/tex]
[tex]\implies a=3, \quad b=-6, \quad c=-1[/tex]
[tex]\implies b^2-4ac=(-6)^2-4(3)(-1)=48[/tex]
As 48 > 0 the equation does not have complex roots.
[tex]\textsf{D.} \quad 2x^2-1=5x[/tex]
[tex]\implies 2x^2-5x-1=0[/tex]
[tex]\implies a=2, \quad b=-5, \quad c=-1[/tex]
[tex]\implies b^2-4ac=(-5)^2-4(2)(-1)=33[/tex]
As 33 > 0 the equation does not have complex roots.
Learn more about discriminants here:
https://brainly.com/question/27444516
https://brainly.com/question/27869538
Learn more about complex roots here:
https://brainly.com/question/26344541
- 10
-5
A
B
10-
8-
6-
4-
-4-
-6-
-8
-10
D
5
C
10
Which coordinates below would form the
image of the triangle above if the center
of dilation is at point D and the scale
factor is 2?
O A'(-7, 8), B'(-5, -2), C'(7, -2)
O A'(-6, 6), B'(-4, -4), C'(8, -4)
O A'(-11, 13), B'(-8, -2), C'(10, -2)
O A'(-1, 0.5), B'(-0.5, -2), C'(2.5, -2)
Answer:
HDUEHD ehvd to be a great day of school and I have a great day of school anda washer and dryer costs $745 combined the washer costs $45 more than the dryer how much does the dryer cost
find x on the following figure
If the perpendicular from chord is x, the length of cord is 11.3 and diameter be 15.5 then the value of x is 4.54.
Given Perpendicular from center to chord is x. The length of cord be 11.3 and the diameter be 15.5.
Perpendicular means a line on other line making an angle of 90 degrees. Cord is the length of line joining two points on a circle and is different from radius or diameter. We know that the formula of calculating the length of chord is as under:
l=[tex]2\sqrt{r^{2} -d^{2} }[/tex]
now put the value of l=11.3 and r=15.5/2=7.25
11.3=[tex]2\sqrt{7.25^{2} -x^{2} }[/tex]
11.3/2=[tex]\sqrt{52.5625-x^{2} }[/tex]
5.65=[tex]\sqrt{52.5625-x^{2} }[/tex]
squaring both sides
[tex]5.65^{2} =52.5625-x^{2}[/tex]
31.9225=52.5625-[tex]x^{2}[/tex]
31.9225-52.5625=-[tex]x^{2}[/tex]
-20.64=-[tex]x^{2}[/tex]
20.64=[tex]x^{2}[/tex]
x=4.54
Hence if the length of cord is 11.3 and diameter is 15.5 then the value of x is 4.54.
Learn more about circle at https://brainly.com/question/24375372
#SPJ10
When the function f(x) = 8* is evaluated for x = 2, the output is:
O 64.
O 10.
16.
Answer:
[tex]\huge\boxed{\sf 64}[/tex]
Step-by-step explanation:
Given function:[tex]f(x) = 8^x[/tex]
Put x = 2
[tex]f(2) = 8^2\\\\f(2) = 8 \times 8\\\\f(2) = 64\\\\\rule[225]{225}{2}[/tex]
evaluate if a= 28 and b= -3 a/4+b
Answer:
4
Step-by-step explanation:
divide the numbers
subtract the numbers
final answer:
= 4
If the sides of a polygon are x + 3 units, 2x – 4 units, 5x units, and 7x + 8 units, then find the perimeter of the polygon.
Answer:
The answer is 15x + 7
Step-by-step explanation:
Since the perimeter of a REGULAR polygon is the number of sides multiplied by the length, and the lengths of the sides are all different, it can be assumed that this is an irregular polygon. That means the formula to find the perimeter changes to all the sides added together.
1 x + 3
2 x - 4
5 x + 0
+ 7 x + 8
15 x + 7
2 2/3 * 2 2/3 = how many thirds as a fraction
Answer:
[tex]21 \frac{1}{3}[/tex] fit into the product
Step-by-step explanation:
so you want to convert [tex]2 \frac{2}{3}[/tex] into a fraction by multiplying 2 by 3 and adding it to the 2. This will give you (3 * 2) = 6 => 6+2=8 which is the numerator. So the fraction becomes [tex]\frac{8}{3}[/tex] and since the two fractions are equal they both become this. So now you have [tex]\frac{8}{3} * \frac{8}{3}[/tex] which can be calculated by multiplying the numerators and denominators. This gives you [tex]\frac{8*8}{3*3} = \frac{64}{9}[/tex]. Now this just gives you the product but the question is asking you how many one thirds is the product. This is essentially saying how many 1/3 fit into the product or in other words what is the product divided by 1/3. This gives you the equation [tex]\frac{64}{9} \div \frac{1}{3}[/tex] which can be calculated by changing the sign to multiplication and flipping the second fraction (1/3 => 3/1) This gives you the equation [tex]\frac{64}{9} * \frac{3}{1} = \frac{64 * 3}{3 * 3} = \frac{64}{3}[/tex]. I rewrote the 9 as 3 * 3 in the equation so you can see that we can just cancel out the 3. Since if have a number and multiply it by "x" and divide by "x" you just have the original number. So now you have 64/3 which simplifies to [tex]21 \frac{1}{3}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2\dfrac{2}{3}\times 2 \dfrac{2}{3}}[/tex]
[tex]\mathsf{= \dfrac{2\times3+2}{3}\times\dfrac{2\times 3 + 2}{3}}}[/tex]
[tex]\mathsf{= \dfrac{6 + 2}{3}\times \dfrac{6 + 2}{3}}[/tex]
[tex]\mathsf{= \dfrac{8}{3}\times\dfrac{8}{3}}[/tex]
[tex]\mathsf{= \dfrac{8\times8}{3\times3}}[/tex]
[tex]\mathsf{= \dfrac{8 + 8 + 8 + 8 + 8 + 8 + 8 + 8}{3 + 3 + 3}}[/tex]
[tex]\mathsf{= \dfrac{16 + 16 + 16 + 16}{6 + 3}}[/tex]
[tex]\mathsf{= \dfrac{32 + 32}{9}}[/tex]
[tex]\mathsf{= \dfrac{64}{9}}[/tex]
[tex]\mathsf{= 7 \dfrac{1}{9}}[/tex]
[tex]\approx{\mathsf{21 \dfrac{1}{3}}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{21\dfrac{1}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]math
look at the picture
Answer:
logarithmic
Step-by-step explanation:
I'm jujust that good to help you
Please answer this in the attached screenshot
Based on the calculations, the formula of this sinusoidal function is equal to f(x) = 6cos(2x) + 4.
How to write the formula of this function?Mathematically, the standard equation of a cosine function is given by:
y = Acos(Bx - C) + D
Where:
A is the amplitude.B = 2π/P.P is the period.C is the phase shift.D is the center line (midline).For the amplitude, we have:
A = maxline - midline
A = 10 - 4
Amplitude, A = 6.
Since the maxline to the midpoint is euqal to π/4, we have:
¼ × P = π/4
4P = 4π
P = π
For the value of B, we have:
B = 2π/P
B = 2π/π
B = 2.
Since there isn't any phase shift, the value of C is equal to zero (0) and D is equal to 4.
Next, we would substitute the parameters into the cosine function:
y = Acos(Bx - C) + D
y = 6cos(2x - 0) + 4
f(x) = y = 6cos(2x) + 4.
Read more on cosine function here: https://brainly.com/question/26993851
#SPJ1
a. A professional football kicker has a 98.8% probability of successfully kicking an extra point after a touchdown. Assuming statistical independence, what is the probability that this kicker will successfully make all of his next eleven extra point kicks? Round your answer to four decimal places. Probability = b. What is the probability that the kicker will miss at least one of his next eleven extra point kicks? Round your answer to four decimal places. Probability = c. A professional golfer has a 92.75% probability of making a 5-foot putt. Assuming statistical independence, what is the probability that this golfer will successfully make all of his next eight 5-foot putts? Round your answer to four decimal places. Probability = d. What is the probability that the golfer will miss at least one of his next eight 5-foot putts? Round your answer to four decimal places. Probability =
A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that the golfer will miss at least one of his next eight 5-foot putts is 0.4523.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
A.) The probability that this kicker will successfully make all of his next eleven extra-point kicks is,
P(x=11) = ¹¹C₁₁ (0.988¹¹) (0.012⁰)
= 0.8756
B.) The probability that the kicker will miss at least one of his next eleven extra point kicks is,
P(X<11) = 1 - P(X=11)
= 1 - 0.8756
= 0.1243
C.) The probability that this golfer will successfully make all of his next eight 5-foot putts is,
P(x=8) = ⁸C₈ (0.9275⁸) (0.0725⁰)
= 0.5477
D.) The probability that the golfer will miss at least one of his next eight 5-foot putts is,
P(X<8) = 1 - P(X=8)
= 1 - 0.5477
= 0.4523
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ1