Answer:
Step-by-step explanation: The amount of water is the dependent value
When the variable is on both sides of the equation, it must be isolated on one side, and it doesn't matter which
side.
O True
O False
Answer:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number.
The path of a skateboarder can be modeled by the equation (x – 4)2 = –4(y – 9), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 4 feet; horizontal distance 12 feet
Maximum height 5 feet; horizontal distance 10 feet
Maximum height 9 feet; horizontal distance 12 feet
Maximum height 9 feet; horizontal distance 10 feet
Answer:
Maximum height 9 feet; horizontal distance 10 feet
Step-by-step explanation:
First, let's get the distance out of they way
When the skateboard lands, her height will be at 0 feet, so y has to equal 0
(x - 4)² = -4(0 - 9)
(x - 4)² = -4(-9)
(x - 4)² = 36
Square root both sides
√(x - 4)² = √36
x - 4 = 6
Note that x - 4 = -6 is also possible
Add 4 to both sides
x - 4 = 6
+ 4 + 4
x = 10
Note that x = -2 is also an answer. but not valid
To find the max height
Remember our zeros? x = -2, x = 10
The number in the middle would be 4
Plug 4 in place of the x in the original equation
(4 - 4)² = -4(y - 9)
(0)² = -4(y - 9)
0 = -4(y - 9)
You can divide both sides by 4
0/4 = (-4(y - 9))/4
0 = y - 9
+ 9 + 9
y = 9
Vertex is (4,9); or in other words, 9 feet is the max height
Which expression is equivalent to 8-(-8)2
O-8+8
-0-8+(-8)
O 8+(-8)
O 6-8
Answer: 6 + 8 on the picture
Step-by-step explanation:
Any positive number plus a negative automagically turns into a addition problem so 6 + 8 on the picture
Answer:
O-8+8
Step-by-step explanation:
this is the right answer trust me
The base of a triangle is 4 inches more than 3 times the height. If the area of the triangle is 66 square inches, find the base and height.
Answer:
base = b = 11
height = h = 2
Step-by-step explanation:
.5 * b * h = 11
.5 * (4h + 3) * h = 11
(4h + 3) * h = 22
4h2 + 3h = 22
4h2 + 3h - 22 = 0
(4h + 11) (h - 2) = 0
h = -11/4 OR h = 2
what is 2/5 of 50 multiplying fraction
Answer:
20
Step-by-step explanation:
2/5 · 50 = 2/1 · 102/1 · 10 = 2 · 102 · 10 = 20Therefore, 2/5 of 50 is 20.
Un grupo de estudiantes tiene como proyecto final determinar el grado de aceptación de las amas de casa de cierto sector de la ciudad hacia un nuevo detergente. De los resultados obtenidos se pudo establecer que aproximadamente 95% de las amas de casa prefieren un detergente en presentación de 500 gramos, contra el mismo producto, pero en una presentación de 1500 gramos. Se lleva a cabo un sondeo sobre la predilección del tipo de presentación del detergente entre 20 amas de casa seleccionadas al azar y donde las respuestas dadas son independientes. Si los estudiantes están interesados en calcular la probabilidad de que exactamente 5 de las amas de casa prefieran la presentación de 1500 gramos, el valor que obtienen es
Usando la distribución binomial, se encuentra que hay una probabilidad de 0.0022 = 0.22% que exactamente 5 de las amas de casa prefieran la presentación de 1500 gramos.
Para cada estudiante, solo hay dos resultados posibles. O prefieren la presentación de 500 gramos, o prefieren la de 1500 gramos. La decisión de cada estudiante es independiente de otros estudiantes, o que implica que se usa la distribuición binomial.
Distribuición binomial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son :
n es el número de ensayos. x es la probabilidad de éxito en una sola prueba. p es la probabilidad de éxito en un solo ensayo.
En este problema:
20 amas de casa, o sea, [tex]n = 20[/tex].5% prefieren lo detergente de 1500 gramos, o sea, [tex]p = 0.05[/tex].La probabilidad de exactamente 5 es P(X = 5).[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{20,5}.(0.05)^{5}.(0.95)^{15} = 0.0022[/tex]
Probabilidad de 0.0022 = 0.22% que exactamente 5 de las amas de casa prefieran la presentación de 1500 gramos.
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NO LINKS PLEASE HELPwhich figure is a net for a cube
Answer:
the answer for your question is D
Sumo wrestler decided to go on a special diet to gain weight rapidly at a constant rate. After 8 months he weighed 138 kilos. He started at 90 kilos.
Complete equation for the relationship between the weight and number of months.
Answer:
138-90=48
48/8=6
6 kil I s per month
or 13.2 pounds per m o nth appoximztly
f(x) = 3x + 6 then find f -1(x)
Find the range of the following data: 181, 191, 171, 111, 121, 131, 141, 151, 161
Answer:
The range is 80.
Step-by-step explanation:
You just find the biggest and the smallest number and find the difference between the biggest and the smallest number. In this case, 191-111 is 80.
Given deductions for this week: Federal Tax $61.34, FICA $52.05, and State $7.92 What is the annual Federal Tax deduction? $6,308.12 $3,189.68 $3,152.06 $1,594.84
The annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
Federal Tax deduction x number of weeks per year = X $ 61.34 x 52 = X $3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
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A point lies to the left of the y-axis
and below the x-axis. What can you conclude about the coordinates
of the point
The point lie in quadrant 3 and both x and y coordinates of the point will be negative.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
It is given that point lies to the left of the y-axis and below the x-axis
For an example of a point in quadrant 3 and left of the y axis and below the x axis would be (-3,-3).
Therefore, the values of tangent and cotangent will be positive, while the values of sin, cosine, cosecant, and secant will be negative if trigonometric values of triangles are used in quadrant 3.
The point lie in quadrant 3 and both x and y coordinates of the point will be negative.
Learn more about trigonometric;
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One month Rita rented 3 movies and 2 video games for a total of $21 . The next month she rented 8 movies and 4 video games for a total of $49 . Find the rental cost for each movie and each video game
21+49 set it up first then add all of it together
the answer is 70
What is the answer to this question?
Answer:
27 23/25
Step-by-step explanation:
On a trip, a student drove 42 miles per hour for 3 hours and then drove 26 miles per hour for 5 hours. What is the student’s average rate of speed, in miles per hour, for the whole trip
Answer:
34 mph Is correct answer
Step-by-step explanation:
Average speed = total distance / total time
Total distance = ( 40 × 2 + 30 × 3 )
= 170 miles
Total time = 5 h
So, avg speed = 170/5 = 34 mph
(Hope this helps can I pls have brainlist (crown)☺️)
What does the 200 mean and how is it solved ? Thank you
Stella needs to make at least 8 cakes for a bake sale. A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour. She has at most 120 cups of flour.
Which system of inequalities represent the number of chocolate cakes (c) and the number of fruit cakes (f) Stella can make?
A.
B.
C.
D.
Answer:
A. c + f > 8
5c + 3f < 120
Step-by-step explanation:
Let c = chocolate cakes
Let f = fruit cakes
She must make at least 8 cakes
c+f ≥8
A chocolate cake requires 5 cups of flour, and a fruit cake requires 3 cups of flour and she has only 120 cups of flour
5c+3f ≤120
The two equations are
c+f ≥8
5c+3f ≤120
Put these numbers in order from greatest to least. 16/25, 4/16, -8, -11/20
if m = 3 + n = -4 calculate the value of mn+n and two to its second power
Answer:
28
-4 × 4 = 16
3 × 4= 12
12 + 16 =28
5. Show that 12 is not a square number. Use a diagram, mathematical symbols
and then a word sentence.
Answer:
if y=x^2 the x and y chart would be as follows
x y
1 1
2 4
3 9
x 12
4 16
5 25
This shows that the x which would produce twelve is between three and 4 and thus not a perfect square
9<12<15 thus 3<x<4
12 is not a perfect square because the square of 3 is 9 and the square of 4 is 16, and since 12 lies between 3 and 4, we know that the number that would be squared to produce twelve must be a decimal between 3 and 4.
Step-by-step explanation:
A perfect square is a number that can be produced from squaring a counting number (...-3,-2,-1,0,1,2,3...)
This means that determining a perfect square comes down to knowing the squares of 1-10 so that you can create a table and determine where the number lies or between what numbers it would occur. If it is a perfect square it will already be on the table with little to no analysis necessary.
What are the next three terms of the geometric sequence 32, -16, 8, …?
Hello there!
A Geometric sequence is a sequence where we use multiplication or division to get to the next term.
Here, we use division.
32, -16..
What did we do to get from 32 to -16?
We divided 32 by -2, didn't we?
Now, to get from -16 to the next term, what we must do is divide by -2 again.
The answer is 8. Why? Why not -8? Because when we multiply or divide a negative number by a negative number, we get a positive number.
32, -16, 8,
We do the same thing with the next term:
32, -16, 8, -4
Divide -4 by -2:
32, -16, 8, -4, 2
And again divide by -2:
32, -16, 8, -4, 2, -1.
Hope this helps!
[tex]ANSWERED:\\GraceRosalia\\************************************************************************\\COMMENT:\\BRAINLIEST\\PLEASE[/tex]
A mayor estimates that 4,000 people will attend the first day of the county fair. A total of 8,400 people actually attend the first day of the fair. What is the percent error of the mayor’s estimate? Round the answer to the nearest tenth percent, if necessary.
Answer:
%140 I think
Step-by-step explanation:
Double would be a %100 error
add %10 for every 100 after
Answer:52.4%
Step-by-step explanation:
Find the difference between the actual number and the estimated number. This difference is the part. Use it to write a part-to-whole ratio and then divide to find the percent error.
Question 9 of 10
This graph shows the solution to which inequality?
(3.3)
(-3,-1)
O A. y
O B. ys £x+1
O C. y> {x+1
O D. yz {x+1
SUBMIT
Answer:
C y > 2x/3 + 1
Step-by-step explanation:
Dashed line eliminates any equation option with "equal to" in it
y rises 4 units as x increases 6 units between the blue points so slope is 4/6 = 2/3
y intercept is 1
Shaded blue area is above the dashed line so "greater than" rules apply
Answer:
C
Step-by-step explanation:
Find the quotient of 4 2/3 ÷ 2 2/5
[tex]4 \frac{2}{3} \div 2 \frac{2}{5} \\ = \frac{14}{3} \div \frac{12}{5} \\ = \frac{14}{3} \times \frac{5}{12} \\ = \frac{70}{36} \\ = \frac{35}{18} \\ = 1 \frac{17}{18} [/tex]
Answer:[tex]1 \frac{17}{18} [/tex]
if a false statement results when the coordinates of a test point are substituted into the linear inequality, which half plane must be shaded to represent the solution of inequality?
Answer:
The half-plane opposite that in which the test point lies
A movie theater sells out 7 times per month. Chloe counted 168 sellouts at the theater. How long was Chloe recording sales? a year
Answer: 2 years
Step-by-step explanation:
The rate is 7 sellouts/month.
(168 sellouts)/(7 sellouts/month) = 24 months, or 2 years at 12 months/year.
How to solve and simplify to the smallest fraction
Answer:
7/12
Step-by-step explanation:
When you multiply fractions you just multiply across. 7*6 = 42 and 8*9 = 72. The both of these numbers can be divided by six so 42/6 = 7 as the numerator. 72/6 = 12 for the denominator. 7/12 is the answer.
A tractor tire makes one complete rotation every 14.3 seconds.
How long does it take the tire to complete 4.25 rotations?
Answer:
60.775
Step-by-step explanation:
If one rotation is 14.3, then you will have 14.3 x 4. Then divide 14.3 by 4 (25 is 1/4 of 100) and the answer is 3.575. So 14.3*4= 57.2 + 3.575 = 60.775
the answer is 60.775.
I took the k12 test.
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?
How much does Snowy Ridge charge for each hour of group snowboarding lessons?
Snowy Ridge charges $28 for each hour of group snowboarding lessons.
Let x represent how much Snowy Ridge charges for each hour of group snowboarding lessons.
Since he rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all, hence:
175 = 5x + 35
5x = 140
x = $28 per hour
Therefore Snowy Ridge charges $28 for each hour of group snowboarding lessons.
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A total of 511 tickets were sold for the school play. They were either adult tickets or student tickets. There were more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
less than 256
Step-by-step explanation:
Rule of 3. They were more than 50% of the tickets that were for students.
511*50/100 = 255,5
That means that less than 256 tickets were adult tikets