Answer:
The distance is: \(D = 7\sqrt 2\)
Step-by-step explanation:
Given
\(A(x_1,y_1) = (-3,-4)\)
\(A(x_2,y_2) = (4,3)\)
Required
The distance
This is calculated as:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
So, we have:
\(D = \sqrt{(3-(-4))^2+(4-(-3))^2}\)
\(D = \sqrt{7^2+7^2}\)
\(D = \sqrt{2(7^2)}\)
\(D = 7\sqrt 2\)
The table shows prices that three different people paid for the same kind of fresh salmon at Fiona’s Fish Factory.
Explain why this is a proportional relationship.
The relationship is proportional because the price for one pound of fresh salmon is the same for the different price paid.
Why is the relationship proportional?If the relationship is proportional, the cost of one pound of fresh salmon for all the three options would be the same.
$29.25 / 3 = $9.75$48.75 / 5 = $9.75$78 / 8 = $9.75To learn more about division, please check: https://brainly.com/question/132812067
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Solve for h. s=6πsh+6πs²
I got h=1/6π-s but it says the answer is correct but the format is not, ideas?
Answer:
Try h=(1-6πs)/6π
Step-by-step explanation:
That's the same answer in another format
PLS HELP! The picture is down below
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer:
Option A
x + 2x + x + 15 = 100
Step-by-step explanation:
Shortest side = x
One side twice length of Shortest side = 2x
Another side 15 more = x + 15
Hence, perimeter
=> x + 2x + x + 15 = 100
find the value of x and give reasoning in the following image
Answer: 80
Step-by-step explanation:
Angle FGB = 80 degrees b/c supplementary angles.
By the sum of interior angles of a quadrilateral, angle FEB = 360 - 75 - 95 - 90 = 100 degrees.
x is supplementary with this angle and is this 180 - 100 = 80.
In a convex octagon, three of the exterior angles each have a measure of x°. The other five exteriorangles each have a measure of (2x + 7)'. Find the measure of each exterior angle.x =(2x+7) =
Since we have that the sum of all exterior angles of any convex polygon adds 360°, we will have the following:
\(3(x)+5(2x+7)=360\)Now, we operate like terms and solve for x:
\(3x+10x+35=360\Rightarrow13x+35=360\)\(\Rightarrow13x=325\Rightarrow x=25\)So, the value of x is 25.
And, the value of (2x + 7) is 57.
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3 x/-2 ≥ 0 x + 11 > 12 4x < 0
Answer: the inequalities for which 0 is a solution are x - 5 ≤ -3 and x/-2 ≥ 0.
Step-by-step explanation: x - 5 ≤ -3 (0 is less than or equal to 2)
x/-2 ≥ 0 (0 is greater than or equal to 0)
In mathematical form, this can be written as:
0 ≤ x - 5 ≤ -3 or x - 5 ≤ 0 and x ≤ -3
Question 7 (1 point)
Anna wanted to bake cookies for Luke's birthday party. The recipe required 4 cups of
flour for every 1 cup of sugar. If Anna used 4 cups of sugar, how much flour did she
use?
(you may want to make a tape diagram to help solve for the answer)
20 cups of flour
4 cups of flour
16 cups of flour
Answer:
16 cups of flour
Step-by-step explanation:
step 1 - cups of flour-4, cups of sugar -4
therefore, multiply 4 and 4
= 4x4 =16
so she used 16 cups of flours
HAVE A GREAT DAY!
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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Select all that apply.
Answer: B, C, and E
Step-by-step explanation:
B and C are the same thing. And E will also work.
A will get you in the right quadrant, but the shape is wrong.
D will just get you back into the place you origianlly started at.
Help with math problems
Answer:
Step-by-step explanation:
15.) \(\sqrt{12}\)
\(\sqrt{4}\) * \(\sqrt{3}\)
Answer: 2\(\sqrt{3}\)
17.) Distribute 3\(\sqrt{3}\) into both sides of the parentheses
3\(\sqrt{3}\) * 4 = 12\(\sqrt{3}\)
3\(\sqrt{3}\) * -3\(\sqrt{5}\) = -9\(\sqrt{15}\)
Answer: 12\(\sqrt{3}\) - 9\(\sqrt{15}\)
19.) Distribute 4\(\sqrt{15}\) into both sides of the parentheses
4\(\sqrt{90}\) + 4\(\sqrt{75}\)
4*\(\sqrt{9}\)*\(\sqrt{10}\) + 4*\(\sqrt{25}\)*\(\sqrt{3}\)
4*3*\(\sqrt{10}\) + 4*5*\(\sqrt{3}\)
12\(\sqrt{10}\) + 20\(\sqrt{3}\)
21.) Distribute \(\sqrt{15}\) into both sides of the parentheses
2\(\sqrt{150}\) - 4\(\sqrt{90}\)
2*\(\sqrt{25}\)*\(\sqrt{6}\) - 4*\(\sqrt{9}\)*\(\sqrt{10}\)
2*5*\(\sqrt{6}\) - 4*3*\(\sqrt{10}\)
10\(\sqrt{6}\) - 12\(\sqrt{10}\)
Will give brainliest and 50 points read the picture what is the missing number
The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)
How to calculate the value?It should be noted that an expression is used to show the relationship between the variables involved.
In this case, the appropriate value in the box will be 4. This will be illustrated as:
= 4(5x + 6)
= 20x + 24
In conclusion, the value is 4.
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2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?
The range of the starting salaries is 53,000
Given,
The box and whisker plot below shows the starting salaries
The number of graduates in a small college = 120
We have to find the range of the starting salaries;
Range of a data;
The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
Here,
Lowest value = 19,000
Highest value = 72,000
Then,
Range of the set = 72,000 - 19,000 = 53,000
That is,
The range of the given data set is 53,000
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You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a tip. What percent tip did you leave? SHOW WORK PLEASE
Answer:
87.3%
Step-by-step explanation:
you got 3 candy bars. The cost for each is $0.89
So, 3 x 0.89= $2.67
Gave $5 and the difference between $2,67 is 2.33
5-2.67=2.33
The change was 2.33 and the cost was 2.67 so the % tip was
2.33/2.67= 0.873=87.3%
Answer:
Approximately 87.02% tip was left.
Step-by-step explanation:
The total cost of the three candy bars is 3 x $0.89 = $2.67.
so the total amount spent is $2.67.
You gave the cashier $5 and told them to keep the change, which is $5 - $2.67 = $2.33.
Therefore, the tip you left is $2.33.
To calculate the percentage tip:
(total cost of the three candy bars/the tip you left) x 100
which is equal to:
($2.33 / $2.67) x 100% ≈ 87.20%
So you left approximately an 87.20% tip.
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A and B can do a work in 3 days but A working alone takes 4 days. In what time will B do it if he works alone?
Could you help me. I'll give a heart and a brainliest to the one who helps me. If they write any nonsense, I will report them ;)
Answer:
Let B have x days work:
A + B = 3 days
1/4 + 1/x = 1/3
1/3 - 1/4 = 1/x
1/12 = 1/x
x = 1 / (1/12)
x = 12
B takes 12 days
I do not know if this is right
O O
v
(____)
The perimeter of the base of a square pyramid is 48 inches. The height of the pyramid is 8 inches. What is the surface area of the pyramid? Responses
Answer:
To find the surface area of a square pyramid, you need to find the area of the base and the area of the four triangular faces, and then add them together.
First, let's find the length of one side of the base of the pyramid:
Perimeter of the square base = 4 x side length
48 inches = 4 x side length
Side length = 12 inches
Now we can find the area of the base:
Area of the base = side length squared
Area of the base = 12 inches x 12 inches
Area of the base = 144 square inches
Next, we need to find the area of each triangular face. To do this, we need to find the length of the slant height of the pyramid. We can use the Pythagorean theorem to do this:
Slant height squared = height squared + (1/2 base length) squared
Slant height squared = 8 inches squared + (6 inches) squared
Slant height squared = 64 inches squared + 36 inches squared
Slant height = square root of (64 + 36) inches
Slant height = 10 inches
Now we can find the area of each triangular face:
Area of a triangular face = (1/2 base length) x slant height
Area of a triangular face = (1/2 x 12 inches) x 10 inches
Area of a triangular face = 60 square inches
Finally, we can add the area of the base and the area of the four triangular faces together to find the total surface area of the pyramid:
Total surface area = Area of the base + (4 x Area of a triangular face)
Total surface area = 144 square inches + (4 x 60 square inches)
Total surface area = 384 square inches
Therefore, the surface area of the pyramid is 384 square inches.
If a binary logistic regression has a pseudo R-Square (L) of 60%, then a) the model is better than another logistic regression with a R-square (CS) of 50%. b) 60% of the variation in the data can be explained by the logistic regression c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model. d) the model is better than another multiple linear regression model with an R- square of 55%.
The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.
Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.
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The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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0.199999 a fraccion porfavor
Answer:
199999/1000000
Step-by-step explanation:
Your daughter found three pieces of ribbon in all different colors. Their lengths were 2 meters and 1 decimeter; 3 meters and 9 decimeters; and 6 meters and 4 decimeters. What was the length of the ribbons in all? Give a decimal answer in meters.
Answer:
convert the lengths to meters
10dm=1m
1dm=0.1m
hence, firs ribbon
2m+0.1m=2.1m
Second Ribbon
3m and 9dm
convert 9dm into Metres we get 0.9m
hence, 3m+0.9m=3.9m
Third Ribbon
6m+0.4m=6.4m
ANSWER QUICKLY! HURRY.
Answer:
-43 < -35
Step-by-step explanation:
-43 is less than -35 because it is on the left.
describe and correct the error in solving the equations below
9514 1404 393
Answer:
19. wrong multiplier was used, and used incorrectly; x = -324
20. wrong multiplier was used, and used incorrectly; y = 5
Step-by-step explanation:
In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).
__
19) As described above.
(-36)(9) = (x/9)(9)
-324 = x
__
20) In addition to the errors described above, the variable was changed from y to x.
15/3 = (3y)/3
5 = y
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.
a) The break-even point for the division is: 4000 units
b) The level of sales for 10% profit is: 4681 units
How to find the break even point for the profit function?The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.
a) We are told that:
Selling price for income tax app = $8
Monthly fixed cost = $20000
Variable cost producing each app = $3
Thus:
8x = 3x + 20000
5x = 20000
x = 4000 units
b) 8x = 1.1(3x + 20000)
8x = 3.3x + 22000
4.7x = 22000
47x =220000
x = 4681 units
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Missing questions are:
(a) Find the break-even point for the division.
(x,y)=
(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)
Group the terms with variables on one side of the equal sign, and simplify.
5z + 3 = 36z
Answer:
z = 3/31
Step-by-step explanation:
5z + 3 = 36z
subtract 5z on both sides
3 = 31z
divide by 31 on both sides
z = 3/31
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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Cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a number less than 3? A. 1/6 B. 1/3 C. 2/5 D. 1/2 Please include ALL work! <3
\(|\Omega|=2\cdot6=12\\|A|=1\cdot2=2\\\\P(A)=\dfrac{2}{12}=\dfrac{1}{6}\)