Answer:
1.5 square meters for light flooring
0.5 squaremeters in dark flooring
Step-by-step explanation:
Common sense
Pls help no links pls this is due and i need help
Answer:
angle 1=127 degree
angle 3=127 degree
angle 2=53 degree
angle 4=53 degree
angle 5=37 degree
angle 6=90 degree
angle 7=53 degree
angle 8=37 degree
angle 9=37 degree
angle 10=143 degree
angle 11=37 degree
angle 12=143 degree
Step-by-step explanation:
I need help with a question
Answer:
y = 3
x = -15
Step-by-step explanation:
When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)
so, we know that...
x + 5y = 0
- 5y - 5y
x = -5y
We can plug this x-value into the second equation to find our y-value:
3y + 2x = -21
3y + 2(-5y) = -21
3y - 10y = -21
-7y = -21
÷ -7 ÷ -7
y = 3
So, if x = -5y,
x = -5y
x = -5(3)
x = -15
(we can test these values in one of the original equations):
x + 5y = 0
(-15) + 5(3)= 0
-15 + 15 = 0
{true}
so, y = 3 ; and x = -15
hope this helps!! :)
locate the critical points of the following function. then use the second derivative test to determine whether they correspond to local maxima, local minima, or neither. f(x)=−x3−9x2
The critical point x = 0 corresponds to a local maximum while the critical point x = -6 is inconclusive.
The critical points of the function f(x) = -x³ - 9x², to find the values of x where the derivative of the function is equal to zero or undefined.
Find the derivative of f(x):
f'(x) = -3x² - 18x
Set the derivative equal to zero and solve for x:
-3x² - 18x = 0
Factor out -3x:
-3x(x + 6) = 0
Setting each factor equal to zero gives two critical points:
-3x = 0 => x = 0
x + 6 = 0 => x = -6
Determine the nature of each critical point using the second derivative test:
To apply the second derivative test, derivative of f(x):
f''(x) = -6x - 18
a) For the critical point x = 0:
Evaluate f''(0):
f''(0) = -6(0) - 18 = -18
Since f''(0) is negative, this critical point corresponds to a local maximum.
b) For the critical point x = -6:
Evaluate f''(-6):
f''(-6) = -6(-6) - 18 = 0
Since f''(-6) is zero, the second derivative test is inconclusive for this critical point. It does not determine whether it is a local maximum, local minimum, or neither.
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shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. which formula could represent her sequence? f(n 1)
The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5
In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.
For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.
By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.
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A fence is to enclose a field and divide it into 3 equal areas. If there is 1600m of fencing available. Find the dimensions of the field that will allow for the maximum area.
The length of the whole field will be 400 while the width will be 200 meters.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
Perimeter of square = side + side + side + side
The perimeter of the circle = πd where d is the dia of the circle.
As per the given three equal areas have been drawn,
The perimeter of this area will be as,
2x + 4y = 1600
Area A = xy
A = x(1600 - 2x)/4
A = 400x - 1/2x²
To find the maximum area take the first derivative,
dA/dx = =0
400(1) - (1/2)2x = 0
400 - x = 0
x = 400 meter
And, 4y = 1600 - 2(400)
y = 800/4 = 200 meter
Hence " The length of the whole field will be 400 while the width will be 200 meters".
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Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1
The equation of the given hyperbola is; x²/25 - y²/49 = 1
What is the equation of the hyperbola?
We are given;
Focus = (74, 0)
Asymptote; y = -⁷/₅x
Centered at origin
We are given that the general form of equation of a hyperbola is;
x²/a² - y²/b² = 1
Now, we know that the equations of the asymptotes are;
y = ±(b/a)x
Thus, comparing the above with our asymptote of y = -7/5x gives us;
a = 5 and b = 7
Thus, the equation of the given hyperbola is;
x²/5² - y²/7² = 1
⇒ The equation of the given hyperbola is;
x²/25 - y²/49 = 1
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Answer:
The answer is 5 and 7
Step-by-step explanation:
The area of a square rug is 64 square feet. What is the perimeter of the rug?
Given data
Area of a square = 64 square feet
To find the perimeter of a rectangle, you need the length of its sides.
You can find the length of a square from the area of the square given below.
\(\begin{gathered} \text{Area of a square = L}^2 \\ L\text{ = length of the side} \\ \text{Next, substitute the value of area to find the length.} \\ 64=L^2 \\ \text{Next, to find the length, find the square root of both sides.} \\ \sqrt[]{64\text{ }}\text{ = }\sqrt[]{L^2} \\ L\text{ = 8 ft} \end{gathered}\)Use the formula below to find the perimeter.
The perimeter of a square = 4L
= 4 x 8
= 32 feet
Fill in the misBruno solved the following equation:
4x + one half(10x − 4) = 6
Step Work Justification
1 4x + 5x − 2 = 6
2 9x − 2 = 6
3 9x = 8
4 x = eight ninths
Which of the following has all the correct justifications Bruno used to solve this equation?
1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality
1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality
1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equalitysing work and justification for step 3 when solving 2(x + 1) = 10.
Answer:
Step-by-step explanation:
g
PART G: Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?
Part H
Now try to construct a triangle using a different set of measurements. This time, you’ll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.
Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.
Part J
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given two angles and the side between them.
Under Sides, enter 5 for a. Under Angles, enter 30 for B and 50 for C. Then click Calculate. How many triangles can be created from the given conditions?
Part K
Return to the Calculator tab, and click the Clear button to begin a new calculation. This time, you’ll check for valid triangles given three sides of specified length.
Under Sides, enter 6 for a, 7 for b, and 13 for c. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given side lengths.
please help!
The solutions are given below.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Part A
the dotted line formes the thrid side of the triangle.
part B
The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.
part c
If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.
part D
You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.
part e
The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.
part f
Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters
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A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?
Answer:
33.33%
Step-by-step explanation:
600/3 is 200 which means 1/3 of it is rebated
For what value of k does the equation 5x – 32 = kx + 3 have no solution?
Step-by-step explanation:
5x - 32 = kx + 3
(5 - k)x = 35
This equation fails when (5 - k) = 0, or k = 5.
no need for explanation, easy 6th grade math
Annabel and Riley were given a homework packet of 120 math questions to finish over the summer.
In June, Annabel finished 25% of the questions in her packet.
In June, Riley finished 40% of the questions in her packet.
How many more questions had Riley finished than Annabel?
Answer:
48 - 30 = 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Apply the distributive property to create a equivalent expression 1/2 (6e - 3f - 3/4) =
Answer:
it should be 3e-3/2f=3/8
Step-by-step explanation:
you will multiply 1/2 to everything in the parenthesis
Help which one I am very confused
Answer:
A. y=[x+4]-2
Step-by-step explanation:
Find the gradient of this line. Use gradient = rise/run
Step-by-step explanation:
the gradient of the line = 2 units/ 3 units = 2/3
Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
starting point. If her total driving time is 4 hours, for how long does she drive upstream? Write and solve an
equation to determine the answer. !!!PLEASE HELP!!!
Answer:
plz help
Step-by-step explanation:
the standard error of estimate in a simple linear regression is equal to: a) the square root of the mean squared error. b) the regression sum of squares divided by the total sum of squares.
The standard error of estimate in a simple linear regression is equal to: a) the square root of the mean squared error.
What is standard Error of Estimate?Standard error of estimate simply refers to the amount of mistake that can be seen when the estimate from the regression analysis is utilized instead of the actual data, and a small estimate error is not necessarily a bad thing.
A. The assumption about errors at different levels is that the variance between two errors is the same as the variance between two other errors. The variance basically refers to the residual. The standard error is computed assuming homoskedasticity, that is, the constant variance of the error terms.
B. The standard error of the estimate is a way to measure the accuracy of the predictions made by a regression model.
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given a survey conducted of randomly selected people, the number of siblings people have is a discrete random variable and the distance from their bellybuttons to their knees is a continuous random variable. true false
Yes, the given statement "The number of siblings people have is a discrete random variable and the distance from their bellybuttons to their knees is a continuous random variable" is completely true.
Given that,
The number of siblings people have is a discrete random variable in a survey of randomly chosen individuals, but the space between their belly buttons and their knees is a continuous random variable.
On the separate sample space, siblings people are described and it is continuous (ratio) separate and separate distance from their bellybuttons to their knees.
Therefore, the provided statement is TRUE
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Find the train fares. Assume one half of adult fare for children 1-12. Children
under 1 ride free.
Adult fare: $260
Adults: 2
Children:
4 mo.
2 yr.
4 yr.
6 yr.
7 yr.
Answer:
(D) 6yr
Step-by-step explanation:
Cost price = $780. Selling price = $707.85. Find the loss as a percentage of the cost price.
Answer:
loss % = 9.25%
Step-by-step explanation:
loss % = 100 × loss / cost price
loss % = 100 × ($780 - $707.85) / $780
loss % = 100 × $72.15 / $780
loss % = 9.25%
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Consider the initial value problem.y′= 5y2, y(0) = y0For what value(s) of y0 will the solution have a vertical asymptote at t=7 and a t-interval of existence −[infinity]
For the given initial value problem, the value of y0 for which the solution will have a vertical asymptote at t = 7 and a t-interval of existence −[infinity] is y0 = 0.
For a vertical asymptote at t = 7, and a t-interval of existence −[infinity], the solution to the given initial value problem will have a value of y0 = 0.
To solve this problem, we can use the standard form of the solution for an initial value problem of the form y' = f(t,y). The general solution to this type of problem is given by y = f(t + c), where c is an arbitrary constant.
In this case, we can set the arbitrary constant to be c = -7, so that the solution takes the form y = f(t - 7).
Since the initial condition is given as y(0) = y0, we can solve for y0 by substituting t = 0 in the solution. This gives us y0 = f(-7).
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Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account. How much does she have in the bank??
Answer:
$25
Step-by-step explanation:
From the above question, we are told that:
Mais bank account is overdrawn by 60$, which means her balance is -$60. She gets 85$ for her birthday and deposits it into her account.
The amount she has in her bank account is calculated as:
Her current account balance + The amount she got for her birthday
Hence:
- $60 + $85
= $25
The amount she has in her bank is $25
Find the particular antiderivative that satisfies the following conditions:
dy/dx (4x+5)/(3root(x)) ; y(1) = 8
The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) - 3x.
To find the particular antiderivative that satisfies the given conditions, we will integrate the given function with respect to x and then use the initial condition to determine the constant of integration.
The given function is: (4x + 5) / (3√x).
First, we split the function into two parts:
(4x) / (3√x) + (5) / (3√x).
Now, we integrate each part separately:
∫ (4x) / (3√x) dx = 2x^(3/2) + C1, where C1 is the constant of integration for the first part.
∫ (5) / (3√x) dx = 5x^(1/2) + C2, where C2 is the constant of integration for the second part.
Combining the two parts, we have:
y(x) = 2x^(3/2) + 5x^(1/2) + C, where C = C1 + C2.
Next, we use the initial condition y(1) = 8 to determine the value of C:
y(1) = 2(1)^(3/2) + 5(1)^(1/2) + C = 2 + 5 + C = 7 + C = 8.
Solving for C, we have: C = 8 - 7 = 1.
Therefore, the particular antiderivative that satisfies the given conditions is:
y(x) = 2x^(3/2) + 5x^(1/2) + 1.
The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) + 1. This antiderivative is obtained by integrating the given function and including the constant of integration determined by the initial condition y(1) = 8.
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11 Identify the terms, variables, coefficient, and constant for the following variable expressions. 5x+7z+9
i uploaded a vid on this here
https://www.you tube.com/watch?v=dQw4w9WgXcQ
Answer:
5 and 7 are the coefficients
x and z are the variables
9 is the constant
The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.
Answer:
Step-by-step explanation:
Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.
If |PQ|=2k, then
a2(cosp−cosq)2+b2(sinp−sinq)2=4k2
The coordinates of M are
xy==a2(cosp+cosq)b2(sinp+sinq)
HW 3: Problem 9 Previous Problem List Next (1 point) Suppose that X is normally distributed with mean 110 and standard deviation 21. A. What is the probability that X is greater than 145.28? Probabili
The probability that X is greater than 145.28 is approximately 0.0465.
Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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The ratio of the number of tables to chairs in a restaurant is 4 : 9. If I remove 2 tables and 4 chairs, the ratio becomes 7 : 16. How many tables and chairs are left
The given problem states that the ratio of the number of tables to chairs in a restaurant is 4 : 9. After removing 2 tables and 4 chairs, the ratio becomes 7 : 16. After removing 2 tables and 4 chairs, there are 16 tables and 36 chairs left in the restaurant.
Let's assume the number of tables in the restaurant is represented by \($4x$\) and the number of chairs is represented by \($9x$\) (since the ratio is given as 4:9).
According to the given information, if 2 tables and 4 chairs are removed, the new ratio becomes 7:16. This can be represented as
\($\frac{{4x - 2}}{{9x - 4}} = \frac{7}{16}$\).
Cross-multiplying:
\(\[16(4x - 2) = 7(9x - 4)\]\)
Simplifying:
\(\[64x - 32 = 63x - 28\]\)
Subtracting \($63x$\) from both sides and adding 32 to both sides:
\($x = 4$\)
Now, we can find the number of tables and chairs left by substituting \($x = 4$\) them back into the initial representation:
The number of tables: \($4x = 4(4) = 16$\)
The number of chairs: \($9x = 9(4) = 36$\)
Therefore, there are 16 tables and 36 chairs left in the restaurant.
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In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 9 is 6 over 36. Predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.
24
12
9
6
If we roll 9 times, the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.
What is probability?Probability is a mathematical concept used to describe the likelihood or chance of a specific event occurring within a set of possible outcomes. It is a way to quantify the uncertainty associated with a particular event. The probability of an event can be expressed as a decimal, a fraction, or a percentage. A probability of 0 indicates that an event is impossible, while a probability of 1 means that the event is certain to occur. A probability between 0 and 1 indicates that the event is uncertain and may or may not occur. The probability of an event can be calculated as the ratio of the number of favorable outcomes to the number of possible outcomes.
Here,
S={(4,6),(5,5),(5,6),(6,6)}
P=S*2+1
P=9
If we roll nine times, the aggregate of the rolls will be more than nine if the experiment is done 144 times.
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Using the diagram below, find the surface area of the triangular prism. Formula: SA = bh + 2ls + lb
The surface area of the triangular prism is SA = 83 square units.
How can the surface area of the triangular prism be calculated?The surface area of the triangular prism can be found using the formula SA = bh + 2ls + lb, where b is the base of the triangle, h is the height of the triangle, l is the length of the prism, and s is the slant height of the triangle.
To find the surface area of the triangular prism, we need to calculate the values of b, h, l, and s. The base of the triangle is 6 cm, and the height is 8 cm. The length of the prism is 10 cm. To find the slant height, we can use the Pythagorean theorem, since the triangle is a right triangle.
The slant height is the hypotenuse, so we have s² = 6² + 8² = 100. Taking the square root, we get s = 10 cm. Now we can substitute these values into the formula: SA = (6 cm x 8 cm) + 2(10 cm x 6 cm) + (10 cm x 6 cm) = 48 cm² + 120 cm² + 60 cm² = 228 cm². Therefore, the surface area of the triangular prism is 228 cm².
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The value of y varies directly with x. If x = 4, then y = 268. What is the value of x when y
= 938?
Answer:
14
Step-by-step explanation:
268/4=67
So, x=67y.
938/67=14