5TH GRADE LEVEL QUESTION. LOOK AT PHOTO AND LIST BY STEP 1 2 AND 3. GIVING BRAINLIEST.
Answer:
Step 1: 3x4+6
Step 2: 25-18
Step 3: 7
Step-by-step explanation:
2(x+1)^2=32
Help pls
Answer:
2x+2x2=32
2x+4=32
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x^2 16y^2
Answer:
The answer is below
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16
Solution:
Given that the ellipse has the equation: 4x² + 16y² = 16
let us make x the subject of the formula, hence:
4x² + 16y² = 16
4x² = 16 - 16y²
Dividing through by 4:
x² = (16 - 16y²)/4
x² = 4 - 4y²
Taking square root of both sides:
[tex]x=\sqrt{4-4y^2 }\\[/tex]
The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4xy
[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]
Therefore the length = 2x = 2√2, the width = 2y = 2/√2
The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7
Answer:
D. 7
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
x² - 121
What is a factored form of this expression
Answer:
(x+11)(x-11)
Step-by-step explanation:
(x+11)(x-11)
Answer:
(x+11)(x-11)
Step-by-step explanation:
If you factor it out, it works.
There are 7 girls and 10 boys taking lifeguard lessons. Write the ratio that compares the number of girls taking lifeguard lessons to the total number of students taking lifeguard lessons
Answer:
7 to 10 or 70%
Step-by-step explanation:
Write down the next 2 terms of this quadratic sequence:
1, 3, 7, 13, ..., ...
Step-by-step explanation:
[tex] {n}^{2} + (n + 1)[/tex]
where n starts from 0.
so the answer is :
16+5=21,
25+7= 32
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
2- 1/2n=3n+16
I need you to solve the whole equation step by step
Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
Answer:
2-16=3n+1/2n
-14=(6n+n)/2
-28=7n
n=-4
can you pls answer with an explanation
A data set has 100 data points. Enter values to answer each of the questions below.
CLEARCHECK
How many data points are above the median?
How many data points are below the 1st quartile?
How many data points are between the 1st and the 3rd quartiles, or in the interquartile range (IQR)?
Answer:
d01n6y09r4551gnm3nt5ch3ck
Step-by-step explanation:
Two angles are supplementary if the sum of their measures is 180∘. If the measure of one angle is 4 x degrees, represent the measure of its supplement as an expression of x
Need help asap
Will make you brainlist
Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3x is the slope (change in between points)
-3 is the y intercept (the point on the y axis)
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.
Required:
Under this setup, what is the variance of this distribution?
Answer:
The variance of this distribution is 42353.2
Step-by-step explanation:
For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
In this question:
226977 visitors, so [tex]n = 226977[/tex]
56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]
Then
[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]
The variance of this distribution is 42353.2
What is 33x44=? Give brainleist
1452 is 33x44’s sum
33
x 44
____
132
1320
1452
Answer:
1452
Step-by-step explanation:
33 * 44 = 1452
Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit
Complete question :
A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:
Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
Leg Press (reps)|40-yard Dash (s)
15 |5.2
18 |6.3
8 |6.8
30 |8.2
26 |8.0
12 |5.3
21 |5.9
Answer:
ŷ = 0.1073X + 4.5365
6.9
Step-by-step explanation:
Leg Press (reps)X:
15
18
8
30
26
12
21
Y:
5.2
6.3
6.8
8.2
8.0
5.3
5.9
Using a regression calculator :
The equation of line of best fit is :
ŷ = 0.1073X + 4.5365
Slope or gradient = 0.1073
Intercept = 4.5365
X = independent or predictor variable (leg press)
Y = predicted variable (40 yard dash)
B)
X = 22
Y = 0.1073(22) + 4.5365
Y = 6.8971
Y = 6.9
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
Type using number words. (Remember to use a hyphen in your answer where needed.)
355
Asap!!
X=
12
9
6 2/3
Answer:
12
Step-by-step explanation:
A week have five school days and two weekend days. Write as ratio
Answer:
5:2
Step-by-step explanation:
A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam
The amount Cami raised during last year’s charity walk, $45.50, is StartFraction 7 over 10 EndFraction of the amount she raised this year. Which equation represents n, the number of dollars she raised this year
Answer:
The equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Step-by-step explanation:
During last years's charity walk, she raised $45.50.
During this years walk, she raised n, which is 7/10 of this amount. So, the equation is given by:
[tex]n = \frac{7}{10} \times 45.50[/tex]
Answer: 45.50=0.7n
Step-by-step explanation:
Determine whether the following is an example of a sampling error or a non sampling error. A psychiatrist surveyed 8000 people to see the proportion who had seen a psychiatrist at least once in their lives. Unfortunately, there was confusion amongst the respondents about the difference between a psychologist and a psychiatrist and the recorded proportion was higher than it should have been due to this confusion.
Answer:
The correct answer is - Non sampling error
Step-by-step explanation:
Sampling errors arises when a sample does not represent the whole population.
It is difference between the real values of the population and the values derived by using samples from the population.
A non-sampling error refers to an error that occurs during data collection, causing the data to differ from the true values.
Non sampling error are of two types , response error and non response error.
In the given question , the error is a response error.
So , it is an example of Non-Sampling error.
Which number will you read 'two-tenths'?
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce. How many tons of coffee should Sarah produce, and what is the total cost of her coffee production
Answer:
Sarah should produce four tons of coffee and total cost for four ton is $6,000.
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Selling price per ton = $2,400
Cost of production is increasing by $600 for each ton.
So, Cost of production first ton = $600
Cost of production for second ton = $600 + $600 = $1,200
Similarly, Cost of production for third ton = $1,200 + $600 = 1,800
Cost of production of fourth ton = $1,800 + $600 = $2,400
Here, Sarah can produce coffee till selling price = cost of production.
As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.
Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400
= $6,000
Sarah can produce 4 tons of coffee and the total cost of the production is $6000 and this can be determined by using the arithmetic operations.
Given :
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce.She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce.The following steps can be used in order to determine the total amount of coffee (in tons) should Sarah produce and the total cost of her coffee production:
Step 1 - Remember that Sarah can produce coffee unitil selling price is equal to the cost of production.
Step 2 - According to the given data, each additional ton of coffee costs $600 more to produce.
Step 3 - From the above steps, it can be concluded that Sarah can produce 4 tons of coffee because the cost of 4 tons of coffee is equal to the selling price.
[tex]600\times 4 = $2400[/tex]
Step 4 - So, the total cost of producing four tons of coffee is:
Total Cost = 600+ 1200 + 1800 + 2400
Total Cost = $6000
For more information, refer to the link given below:
https://brainly.com/question/1957976
Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.
An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.
What is 162,810.75 rounded to the nearest whole number?
Answer:
162,811
Step-by-step explanation: