Answer:
4. 3 cans of paint will cover 60% of Dalia's room
5. Dalia's entire room requires 5 cans of paint
Step-by-step explanation:
If Dalia has painted 1/10 of her room with 1/2 can of paint, then she will paint 2/10 of her room with 1 can of paint (since there are 2 halves in a whole).
2/10 = 1/5 ⇒ 1 can of paint covers 1/5 of the room.
Therefore, to paint the entire room, she will need 5 cans of paint.
60% of 5 cans of paint = 0.6 × 5 = 3
Therefore, 3 cans of paint will cover 60% of the room.
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
can you guys help me on this please
\(9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12\)
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.
a. true
b. false
True, The dimension of the eigenspace for each eigenvalue equals the multiplicity.
What is eigen value?Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.
What is an Eigenspace?When a linear transformation is done to an eigenvector, a set of eigenvectors called an eigenspace is created for each eigenvalue. In many cases, the linear transformation uses a square matrix (a matrix that has the same number of columns as it does rows).
yes, it is true that the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.
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in the expression 2/5 w +55 what is the variable, the coefficient and the constant
The parameters of the expression are given as
25w+55
variable=wcoefficient = coefficient of variable (w)=25constant=55What is the coefficient ?A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.
A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.
Generally, the equation for expression is mathematically given as
25w+55
Therefore
variable=wcoefficient = coefficient of variable (w)=25constant=55Read more about constant
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Matt is measuring the length of bacterial cells. The first 8 cells that he measures are 3 micrometers. The next 12 cells that he measures are 2 micrometers. What is the average length in micrometers of the bacterial cells that Matt has looked at?
Explain how to graph a scatterplot and its regression line using a regression calculator
Press the Linear Regression button to generate the regression line.
We have given that, regression line using a regression calculator
We have to determine how to graph a scatterplot and its regression line using a regression calculator.
Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis.
What is the regression line?
Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
Enter the data pairs.
Press the Linear Regression button to generate the regression line.
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If the mean GPA among students is 3.25 with a standard deviation of 0.75, what is the probability that a random sample of 300 students will have a mean GPA greater than 3.30
Answer:
The value is \(P(X > 3.30) = 0.12405\)
Step-by-step explanation:
From the question we are told that
The mean GPA is \(\mu = 3.25\)
The standard deviation is \(\sigma = 0.75\)
The sample size is n = 300
Generally the standard error of mean is mathematically represented as
\(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)
=> \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)
=> \(\sigma_{\= x} = 0.0433\)
Generally the probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as
\(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)
\(\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )\)
\(P(X > 3.30) = P(Z> 1.155 )\)
From the z table the probability of (Z > 1.155 ) is
\(P(Z> 1.155 ) = 0.12405\)
\(P(X > 3.30) = 0.12405\)
evaluate (mn)(x) for x= -3
(mn)(-3) =
Answer:
-3mn
Step-by-step explanation:
the sum of two numbers is 30 and their difference is 20. What are the two numbers?
\(\huge\pink{Answer}\)
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:
x + y = 30
The difference between x and y is 20. In other words, x minus y equals 20 and can be written as equation B:
x - y = 20
Now solve equation B for x to get the revised equation B:
x - y = 20
x = 20 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 30
20 + y + y = 30
20 + 2y = 30
2y = 10
y = 5
Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:
x + y = 30
x + 5 = 30
X = 25
Summary: The sum of two numbers is 30 and their difference is 20. What are the two numbers? Answer: 25 and 5 as proven here:
Sum: 25 + 5 = 30
Difference: 25 - 5 = 20
ꜰᴏʟʟᴏᴡ ᴍᴇ❤the alexander family and jenkins family each used their sprinklers last summer. the water output rate for the alexander familys sprinkler was 20 L per hour. theh water output rate fro the jenkins familys sprinkler was 25 L per hour. the familes used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1450 L. How long was each sprinkler used?
Answer:
Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.
Step-by-step explanation:
Lets start with 2 assumptions, what if we only used the Alexander's family sprinklers, We can define X as the variable
\(20x=1450\)
\(x= 72.5\)
If we just used the Alexanders it would of took 72 hours and 30 minutes.
Now lets look at the Jenkins family sprinkler, lets define it as Y.
\(25y=1450\)
\(y = 58\)
With only the Jenkins it would of took 58 hours.
Now, if they just of shared the work equally among the two sprinklers, the Alexanders family doing 725 L and the Jenkins with the other half.
It would of took the Alexanders
\(20x= 725\)
\(x=36.25\)
Jenkins
\(25y=725\)
\(y=29\)
Making it a combined time of 65.25 hours. 15 minutes long of our 65 hour time.
Now the Jenkins sprinkler generates 5 more L than Alexanders per hour. Which means it would only take the Jenkins family 1 hours to make 25 liters but Alexanders would take \(\frac{5}{4}\) hours. We know that 1 hour contains 60 minutes, which means \(\frac{1}{4}\) of a hour contains 15 minutes.
So it would take Alexanders family sprinkler 15 minutes more to produce the same amount per hour that the Jenkins does.
So from this we can conclude that if the Jenkins family sprinkler was used more we can cut the extra 15 minutes off, making the answer That the
Alexanders family sprinkler used for 35.25 hours
And the Jenkins family sprinkler was used for 29.75 hours.
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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How do we calculate=
x+5/x + x+8/x-1= ?
Answer:
⇒8(x−1)=5x
⇒8x−x=5x
⇒8x−5x=8
⇒3x=8
⇒x=
3
8
How many solutions are there to the equation below?
5x+48 +7x= 12(x+4)
Α. 0
B. Infinitely many
C. 1
Answer: 1
Step-by-step explanation: There is only one. I know this because it can't be zero or infinitely many solutions..
It can't be zero because there has to be at least one solution for every problem.
It can't be infinitely many solutions because that would be way too much.
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
The centers of two small metal spheres with a charge of 7.4 × 10−8 C are 10 cm from each other. a) What is the electric force between them? b) One of the spheres touches another identical neutral one, what is now the electric force if they are kept at the same distance? The constant in the Coulomb's law expression is k = 9.0 × 109 Nm2C2.
Answer:
answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd
i just got done cutting and taking out the seeds of chilies and i went to go use the restroom and now my bottom part is BURNING HELP ME
Answer:
Lol I can't help im sorry
Use the model to estimate f(x) when
x
=
5
.
f(x) =
Use the model to estimate f(x) when
x
=
10
.
f(x) =
Using the model to estimate f(x) when x = 5 and x = 10, the vaues are 18.33 and 17.78
Using the model to estimate f(x) when x = 5 and x = 10From the question, we have the following function that can be used in our computation:
f(x) = -0.11x + 18.88
Also, we have
x = 5 and x = 10
Substitute the known values in the above equation, so, we have the following representation
f(5) = -0.11 * 5 + 18.88 = 18.33
f(10) = -0.11 * 10 + 18.88 = 17.78
Hence, the values are 18.33 and 17.78
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Complete question
Question: A statistician calculated the following linear model to describe the data: f(x) = – 0.11x + 18.88 Use the model to estimate f(x) when x = 5
for each of the initial conditions below, determine the largest interval on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
The existence of a unique solution is guaranteed by y(a) = \( c_{0} \), y' (a) = \( c_{1} \), . . . . \( y_{n-1}(a) \) = \( c_{n-1} \).
Consider the differential equation
\( a_{0}(x) {y}^{n} \) + \( a_{1}(x) {y}^{n} \) + . . . . + \( a_{n-1}(x) {y}^{'} \) + \( a_{n}(x) {y} \) = F (x)
Now, for each x ∈ [a, b]
\( a_{0}(x) \) ≠ 0, F(x), \( a_{1}(x) \), \( a_{2}(x) \), . . . . \( a_{n}(x) \) all are continuous function of x in [a,b] and
y(a) = \( c_{0} \), y' (a) = \( c_{1} \), . . . .
\( y_{n-1}(a) \) = \( c_{n-1} \)
Then given differential equation has a unique solution
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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A recipe for 2 dozen muffins uses 2/3 cup of walnuts.Greg has 4/5 cup of walnuts. Does Greg have enough to make 3 dozen muffins?
Answer:
To find out if Greg has enough walnuts to make 3 dozen muffins, we need to compare the amount of walnuts required to the amount Greg has.
2 dozen muffins require 2/3 cup of walnuts, which can also be written as (2/3) / 24 = 1/36 cup of walnuts per muffin.
Therefore, 3 dozen muffins will require 3 * 2 = 6 cups of muffins.
Greg has 4/5 cup of walnuts, which can also be written as 32/40 cup of walnuts.
To find out if this is enough, we need to divide the total amount required by the amount Greg has:
6 / (1/36) = 216
So, Greg needs 216/32 = 6.75 times the amount of walnuts he has to make 3 dozen muffins.
Since Greg only has 4/5 cup of walnuts, which is less than 6.75 times the required amount, he does not have enough walnuts to make 3 dozen muffins.
Step-by-step explanation:
Answer:
No, Greg does not have enough walnuts to make 3 dozen muffins. He would need 1 cup of walnuts to make 3 dozen muffins.
A teacher needs to cut pieces of yarn, each 3/4 yards in length. How many
pieces can he cut from a string of yarn that is 6 yards long?
Answer:
8 pieces
Step-by-step explanation:
Take 6 yds and divide by the length of each piece
6 ÷ 3/4
Copy dot flip
6 * 4/3
24/3
8
We can get 8 peices
Need the correct answers for this. Can you help me?
The length of PQ is 3√5 and its slope is -2
The length of SR is 3√5 and its slope is -2
The length of SP is 5√2 and its slope is -7
The length of RQ is 5√2 and its slope is -1
So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.
Understanding QuadrilateralTo find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:
D = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
and the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
1. Length PQ:
Using the distance formula, the length PQ can be calculated as follows:
PQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((3 - 0)² + (-4 - 2)²)
= √(3² + (-6)²)
= √(9 + 36)
= √45
= 3√5
2. Length SR:
Using the distance formula, the length SR can be calculated as follows:
SR = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((1 - (-2))² + (-5 - 1)²)
= √((1 + 2)² + (-6)²)
= √(3² + 36)
= √(9 + 36)
= √45
= 3√5
3. Length SP:
Using the distance formula, the length SP can be calculated as follows:
SP = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((1 - 0)² + (-5 - 2)²)
= √(1² + (-7)²)
= √(1 + 49)
= √50
= 5√2
4. Length RQ:
Using the distance formula, the length RQ can be calculated as follows:
RQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
= √((-2 - 3)² + (1 - (-4))²)
= √((-2 - 3)² + (1 + 4)²)
= √((-5)² + 5²)
= √(25 + 25)
= √50
= 5√2
Now, let's calculate the slopes of the sides:
1. Slope PQ:
The slope of PQ can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-4 - 2) / (3 - 0)
= -6 / 3
= -2
2. Slope SR:
The slope of SR can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-5 - 1) / (1 - (-2))
= -6 / 3
= -2
3. Slope SP:
The slope of SP can be calculated using the slope formula:
m =\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (-5 - 2) / (1 - 0)
= -7 / 1
= -7
4. Slope RQ:
The slope of RQ can be calculated using the slope formula:
m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)
= (1 - (-4)) / (-2 - 3)
= 5 / (-5)
= -1
Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:
Length PQ: 3√5
Length SR: 3√5
Length SP: 5√2
Length RQ: 5√2
Slope PQ: -2
Slope SR: -2
Slope SP: -7
Slope RQ: -1
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enter the decimal equivalent 13/16
please can someone help will give brainliest. No links or will get banned?
Answer:
102cm²
Step-by-step explanation:
Step 1 find the area of the whole rectangle
Area of a rectangle = width times length
The width of the rectangle is 20 cm and the length is 6cm
So the area = 20 * 6
20 * 6 = 120
Hence the area of the rectangle is 120 square centimeters.
Step 2 Find the area of the square and the triangle
Area of square = s²
where s = side length
The square has a side length of 3 so the area of the square = 3²
3² = 9
Hence, the area of the square is 9cm²
Now to find the area of the triangle
area of a triangle = where b = base length and h = height
We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)
Now to find the base length
We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )
so triangle's base length = 20 - 11 - 3
20 - 11 - 3 = 6
so the base length of the triangle is 6 cm
now we plug in the values of the height and the base length into the formula
Hence the area of the triangle is 9 cm²
Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle
so your answer = 120 - 9 - 9
120 - 9 - 9 = 102
Hence, the area of the shaded region is 102 square centimeters.
4x−4<8 AND9x+5>234, x, minus, 4, is less than, 8, start color #ed5fa6, start text, space, A, N, D, end text, end color #ed5fa6, 9, x, plus, 5, is greater than, 23
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
2 3x>3x, is greater than, 3
(Choice C)
C
There are no solutions
(Choice D)
D
All values of xxx are solutions
The values of x are x < 3 and x > 2
How to determine the solution to the inequality?The inequality is given as:
4x − 4 < 8 AND 9x + 5 > 23
Add 4 to both sides of the first inequality
So, we have:
4x < 12 AND 9x + 5 > 23
Subtract 4 from both sides of the second inequality
So, we have:
4x < 12 AND 9x > 18
Divide both inequalities by the coefficient of x.
So, we have:
x < 3 and x > 2
Hence, the values of x are x < 3 and x > 2
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Complete question
4x − 4 < 8 AND 9x + 5 > 23
Choose 1 answer:
A x > 3
C There are no solutions
D All values of x are solutions
Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.
Solve it ( i'll select u as brainlist )
Answer:
b is ur answer
Step-by-step explanation
hope this helps :)
functions please helpp
Answer:
Functions:
3. The chart with arrows
4. The graph
Not Functions:
1. (1,1), (2,2), (3,3), (1,4)
2. (1,17), (0,16), (0,15), (-2,17)
Step-by-step explanation:
Functions do not have repeating domains (x-coordinates).
Hope it helps!