Answer:
15.75
Step-by-step explanation:
Answer:
well that her fault for not putting it in a purse
Joe has four birthday cakes to share
between his 24 guests. Joe doesn't eat cake,
but wants to cut them up so that each guest
gets an equal piece.
Answer:
He should cut each cake into 6 slices.
Step-by-step explanation:
24/4 = 6
32. How many 45-page documents would a binder hold if its maximum capacity is 630 sheets of paper?
Answer:
14
Step-by-step explanation:
630÷45=14
Answer:
Step-by-step explanation:
Which of the following statements is NOT true?
1) A well-designed experiment is the only legitimate way to establish a cause-and-effect relationship between two variables.
2) We can use results from an observational study to test a claim about a population. 3) When an observational study has a large sample and follows people for many years, we can use the results to establish a cause-and-effect relationship between two variables.
4) When many observational studies together meet specific criteria, the results can provide varying degrees of evidence for a cause-and-effect relationship between two variables. But we should be cautious in interpreting such results.
Graph the data in the table
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
984 ÷ 178 con las propiedades
Answer:
5.52
Step-by-step explanation:
please help me solve
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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Question Help
A particular country has so total states in the areas of all 50 states are added and the sum is divided by 50, the result is 188,461 square kilometers Determine whether
This result is a statistic or parameter
Answer:parameter
Step-by-step explanation:
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
Help ASAP!!!!
Please answer the questions below.
The derivative of y with respect to x in the equation is: dy/dx = -88x^7 / (132x^21y + 3y^2)
How to solve the equationIt should be noted that to find dy/dx, we need to differentiate both sides of the equation with respect to x, using the chain rule for the second term:
11x^8 + 6x^22y + y^3 = 18
Differentiating both sides with respect to x:
(11x^8)' + (6x^22y)' + (y^3)' = 0
Using the power rule, we get:
88x^7 + 132x^21y dy/dx + 3y^2 dy/dx = 0
Now, we can factor out dy/dx:
dy/dx (132x^21y + 3y^2) = -88x^7
dy/dx = -88x^7 / (132x^21y + 3y^2)
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i need help in geometry 1
The expression/equation as written in the question is ∠A ≈ ∠C
How to write the expression/equation as expressedFrom the question, we have the following parameters that can be used in our computation:
∠A ≈ ∠C
The above expression means that
The angles A and C are congruent
From the question, we understand that
The question is not to be solved; we only need to write out the expression
Hence, the expression/equation as written is ∠A ≈ ∠C
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● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
Question 1(Multiple Choice Worth 2 points) (Pythagorean Theorem LC) Determine which set of side measurements could be used to form a triangle. 13, 19, 7 25, 12, 13 18, 2, 24 3, 1, 5
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.
Let's check each set of side measurements:
13, 19, 7:
The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.
25, 12, 13:
The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.
18, 2, 24:
The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.
3, 1, 5:
The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
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If John has drank three drinks per day how many will he have drank in 3 day's?
Answer: 9
do the 3 times table
Step-by-step explanation: if 3 in 1 than 9 in 3
hoped this helped let me know if it did
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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John and Trey both leave the coffee shop at the same time, but in opposite directions. If Trey travels 7 mph faster than John and after 5 hours they are 85 miles apart, how fast is each traveling?
John is traveling __________ mph
Trey is traveling __________ mph
Answer:
John is traveling 5 mph
Trey is traveling 12 mph
Step-by-step explanation:
we will concept of speed distance and time where
distance = speed * time
Let the speed of john be x miles per hour
if, Trey travels 7 mph faster than John
then speed of trey = (x+7) miles per hour
Time of travel for both of them = 5 hours
distance traveled by john in 5 hours = x* 5 = 5x miles
distance traveled by john in 5 hours = (x+7) * 5 = (5x + 35)miles
total distance covered by them = 5x miles + (5x + 35)miles = (10x+35) miles
it is given that after 5 hours they were 85 miles apart, thus the distance above calculated should be equal to 85 miles
10x+35 = 85
=>10x = 85 -35
=> 10x = 50
=> x = 50/10
=> x = 5
Thus, speed of john is 5 miles per hour
speed of Trey is: x+7= 5 + 7 = 12 miles per hour
The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.
Answer:
An increase of $0.94
Step-by-step explanation:
Create a variable h that is a row vector with eight equally spaced elements in which the first element is 68 and the last element is 12.
The variable h, which is a row vector with eight equally spaced elements, is h = linspace(68, 12, 8).
To create the variable h as a row vector with eight equally spaced elements, we can use the linspace function in MATLAB or Octave. The linspace function takes three arguments: the starting value, the ending value, and the number of elements in the vector.
Here's how to create the variable h with the desired specifications:
h = linspace(68, 12, 8)This will create a row vector h with eight equally spaced elements ranging from 68 to 12. The output will be:
h = [68 60.5 53 45.5 38 30.5 23 12]The elements in the vector are not integers because we asked for eight equally spaced elements between 68 and 12.
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Equivalent expression 42+24
Answer:
ggg
Step-by-step explanation:
gggg
Steven has $50 yend on drinks for his coworkers. The
cholces are fresh orange juice, which costs $2 75 per
cup, and coffee, which costs $2.50 per cup. I Steven
spends $31 and purchases twice as many cups of coffee
as cups of orange juice, how many ops of orange julce
does he buy?
A-1
B-2
C-6
D-8
E-16
Answer:
I'm pretty positive it's C but I may be wrong, sorry if I am.
Step-by-step explanation:
what are the first three terms of the Gp of which the common ratio is -⅔ and S6 is 133
Given that S6 is 133 and the common ratio (r) is -2/3.
We know that the sum of n terms of a gp whose common ratio is less than 1 is
\(S_n=\frac{a(1-r^n)}{(1-r)}\)So,
\(\begin{gathered} 133=\frac{a(1-(-\frac{2}{3})^6)}{1-(-\frac{2}{3})} \\ 133=\frac{a(1-\frac{64}{729})}{1+\frac{2}{3}} \\ 133=\frac{a(\frac{665}{729})}{\frac{5}{3}} \\ 133=\frac{a(133)}{243} \\ a=243 \end{gathered}\)Now, we have known that the first term of the gp is 243.
So, the second term is:
\(ar=243\times(-\frac{2}{3})=-162\)The third term is:
\(ar^2=243\times(-\frac{2}{3})^2=108\)Thus, the first three terms are 243, -162, 108.
Which equation is represented by the graph?
A:
y= (£-1)+3
B:
4=(¢- 32+1
C:
9=-¢+32_1
D:
4=-¢- 32+1
Answer:
C: y = -(x +3)² -1
Step-by-step explanation:
You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.
Vertex formFor vertex (h, k), the vertex form equation of a parabola is ...
y = a(x -h)² +k
Given that (h, k) = (-3, -1), the equation will have the form ...
y = a(x -(-3))² + (-1)
y = a(x +3)² -1 . . . . . . . . . . matches choice C
The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.
y = -(x +3)² -1
__
Additional comment
Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.
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Point A is located at (1, 2). Point B is located at (4, 6). Use this information to determine the length of the line, rounded to the nearest whole number.
If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.
To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.
Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Rounded to the nearest whole number, the length of the line is also 5 units.
In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.
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Please help meeeeedeededdesesseeeee
Answer:
78.5
Step-by-step explanation:
A=πr^2 is the formula. Since you're using pi as 3.14, 3.14 times 5^2 is 78.5 (5^2 is 25 because 5x5=25)
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If u steal point i report
Answer: the 2 on the right
Step-by-step explanation:
Five double-digit numbers We have five consecutive positive double-digit integers. If we swap places on the numbers in the largest number, the sum of the five numbers increases by 1 more than the mean of the original numbers. What is the lowest number?
Answer:
33Step-by-step explanation:
Let the numbers are:
x, x + 1, x + 2, x + 3 and x + 4Their sum is 5x + 10Their mean is (5x + 10)/2 = x + 2If we swap the digits on the largest number, the sum increases by 1 more than x + 2
We are looking for the number x + 4 = ab such that:
ba - ab = ab - 2 + 1ba = 2ab - 110b + a = 2(10a + b) - 110b + a = 20a + 2b - 18b = 19a - 119a = 8b + 1By trial method we get the solution:
a = 3, b = 7Since x + 4 = 37, the lowest number is:
x = 37 - 4 = 33Lets verify:
33, 34, 35, 36, 37The sum is:
5*33 + 10 = 175The mean is:
35Change the largest number tp 73 and find the sum again:
175 + (73 - 37) = 175 + 36 = 175 + 35 + 1The sum has increased by 1 more than 35
find the zeros f(x) = x 3 - 3x 2 – 5x +15
Answer:
x = ± \(\sqrt{5}\) x = 3
Step-by-step explanation:
to find the zeros set f(x) = 0 , that is
x³ - 3x² - 5x + 15 = 0 ( factor the first/second and third/fourth terms )
x²(x - 3) - 5(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(x² - 5) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x² - 5 = 0 ( add 5 to both sides )
x² = 5 ( take square root of both sides )
x = ± \(\sqrt{5}\)
the zeros of f(x) are then
x = - \(\sqrt{5}\) , x = \(\sqrt{5}\) , x = 3
Find the radius of a circle using the pythagorean theorem, given that the center is at (11,-3) and the point (3,12) lies on the circle
The radius r of the circle can be calculated using the distance between two-point formula
\(\begin{gathered} r\text{ = }\sqrt[]{x_2-x_1)^2+(y_2-y_1)^2} \\ x_1=11,y_1=-3x_2=3,y_2=12\text{ } \\ \\ r=\sqrt[]{(3-11)^2+(12-(-3))^2} \\ \\ r=\sqrt[]{(-8)^2+(15)^2} \\ r=\sqrt[]{64+225} \\ r=\sqrt[]{289} \\ r=17\text{ unit} \end{gathered}\)