The number of square inches to make up half the cookie cake is 76.93 in² area.
How to calculate for the half square inches areaThe diameter of the circular cookie cake is 14 inches, so its radius will be r = 7 inches. Using the formula for area of circle we have:
area of cookies cake = 3.14 × 7 in × 7 in
area of cookies cake = 153.84 in²
half the area of the cookie cake = 153.84 in²/2
half the area of the cookie cake = 76.93 in²
Therefore, the number of square inches to make up half the cookie cake is 76.93 in² area.
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help me please help me understand
The Solution.
The given figures are congruent.
This means that EB and QR are similar.
So,
\(QR=EB=19\text{ yards}\)Hence, the correct answer is 19 yards.
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
If f(x)=x²-3 x+5 and g(x)=-2 x, find the following composition. (f°g)(2)
(f°g)(2)=__ (Simplify your answer.)
The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33.
What is a function?The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = x² -3x + 5 and g(x) = -2x
f(g(x)) = f(-2x)
Since the operation of f(x) is x²-3 x+5.
So, f(-2x) = (-2x)² - 3(-2x) + 5
f(g(x)) = 4x² + 6x + 5
The value of the combined function for x = 2 is
f(g(2)) = 4(2)² + 6(2) + 5
⇒ 16 + 12 + 5 = 33
Hence "The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33".
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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Which type of sampling method is being employed in the following example?
The principle of Phoenix High School is conducting an in depth study of graduates since
she has been there. Firstm she creates a list of every student that has graduated since
she has been principle and assigns each graduate a number 1 to 1241. She then has a
computer randomly select 40 numbers between 1 and 1241 to determine which
students she will include in her sample.
O Simple Random Sampling
O Stratified Sampling
O Cluster Sampling
O Sampling of Convenience
O Systematic Sampling
The sampling method used in this problem is classified as:
Simple Random Sampling
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.
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Help me please ASAP !!!!!!!!!!
Answer:
its A
PLS MARK AS BRAINLESS I MEAN BRAINLIEST
Step-by-step explanation:
It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?
Answer:
I think the answer is $14 hope this helps!
Step-by-step explanation:
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
(-14,0)
Step-by-step explanation:
-94 24
-74 18
-54 12
-34 6
-14 0
Answer:
-14,0
Step-by-step explanation:
khan academy
Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12,-5).
O (2,-5)
O(-8,-5)
O(10-8)
O (12,-5)
Answer:
The answer is (-8,-5)
Step-by-step explanation:
Since the midpoint is (2, -5), the 2 endpoints should be equidistant from each other. Since the endpoint that is given (12, -5), is 10 points to the right of the midpoint, the second midpoint should be 10 points to the left of it. 2-10=-8
Therefore, the other midpoint is (-8,-5)
Find an equation for the line perpendicular to the line 4x+7y=4
having the same y-intercept as 9x−7y=−2
.
This equation represents the line Perpendicular to 4x + 7y = 4, with the same y-intercept as 9x - 7y = -2.
The equation of a line perpendicular to another line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.
the slope of the line 4x + 7y = 4. We can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:
4x + 7y = 4
7y = -4x + 4
y = (-4/7)x + 4/7
From this equation, we can observe that the slope of the given line is -4/7.
The line perpendicular to this line will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a number is obtained by flipping the fraction and changing the sign. Therefore, the slope of the perpendicular line will be 7/4.
Now, we are given that the perpendicular line has the same y-intercept as the line 9x - 7y = -2. To find the y-intercept, we can set x = 0 and solve for y:
9(0) - 7y = -2
-7y = -2
y = 2/7
Therefore, the y-intercept of the perpendicular line is 2/7.
We now have the slope (7/4) and the y-intercept (2/7) of the perpendicular line. Using the slope-intercept form (y = mx + b), we can write the equation of the perpendicular line as:
y = (7/4)x + 2/7
This equation represents the line perpendicular to 4x + 7y = 4, with the same y-intercept as 9x - 7y = -2.
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Graph the solution of the absolute value inequality on the number line. 4 > |x + 1| + 2
See attachment for the graph of 4 > |x + 1| + 2
How to graph the solution of the absolute value inequality on the number line?The absolute value inequality is given as:
4 > |x + 1| + 2
Subtract 2 from both sides of the absolute value inequality.
So, we have
2 > |x + 1|
Rewrite as
|x + 1| < 2
So, we plot the graph of |x + 1| < 2 to represent 4 > |x + 1| + 2
See attachment for the graph
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Danielle needs to buy paints for an art class she is taking. She wants to buy both oil paintsfor special pieces and acrylic paints for everyday use. Tubes of oil paint are $6 each, and tubes of acrylic paint are $3 each. Danielle has a paint budget of $90, and she wants the ratic of acrylic tubes to oil tubes to be at least 2 to 1.
Graph a system of inequalities that represents this story. One inequality should represent
Danielle's budget, and the other inequality should represent the ratio of acrylic tubes to oil
tubes.
Inequalities are used to represent unequal expressions.
The system of inequalities is:\(6x + 3y \le 90\) and \(y \ge 2x\)
Represent oil paints with x, and acrylic paint with y.
Oil paints cost $6 per tube, while acrylic paint costs $3 per tube; and the budget is $90.
So, the inequality is:
\(6x + 3y \le 90\)
The ratio of acrylic tubes to oil tubes is at least 2 to 1.
So, we have:
\(y : x \ge 2 : 1\)
Express as fraction
\(\frac yx \ge \frac 21\)
Multiply both sides by x
\(y \ge 2x\)
So, the system of inequalities is:
\(6x + 3y \le 90\) and \(y \ge 2x\)
See attachment for the inequalities
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give 10 rational numbers between 2/3 and 4/5
Step-by-step explanation:
2/3=0.66666666666
4/5=0.80000000000
10 rational numbers between them
0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79
Answer:
67/100, 68/100, 69/100, 70/100, 71/100 72/100, 73/100, 74/100, 75/100, 76/100.
what is the midpoint between (-3,-2) and (4,7)?
Answer:
1/2, 5/2
Step-by-step explanation:
To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2
(-3+4)/2, (-2 +7)/2
1/2, 5/2
Answer:
\((\frac{1}{2}, \frac{5}{2} )\)
Step-by-step explanation:
Use the midpoint formula:
\((\frac{-3+4}{2} , \frac{-2+7}{2} )\)
The points are:
\((\frac{1}{2}, \frac{5}{2} )\)
Help Please!!!
Find lim h → 0 f(x+h)-f(x)/h for the given function and value of x.
f(x) = -4x -1, x = 5
Step-by-step explanation:
\(\displaystyle \lim_{h \to 0} \dfrac{[-4(x + h) - 1] - (-4x - 1)}{h}\)
\(\displaystyle \:\:\:\:\:\:\:\:\:=\lim_{h \to 0}\dfrac{-4h}{h}\)
\(\:\:\:\:\:\:\:\:\:=-4\)
m angleSRW=
please help.
Answer:
95
Step-by-step explanation:
Which expression is equivalent to 1/5(150x - 80y + 50 - 50x - 25y + 20)?
Answer:
20x - 21y + 14
1/5(150x - 80y + 50 -50x - 25y + 20)
30x -16y + 10 - 10x - 5y + 4
30x -10x -16y - 5y + 10 + 4
20x -21y + 14
Answer:
20x-21y+14
Step-by-step explanation:
add up like terms and divide them by 5
Question 2 of 15 Greece is different from most other countries in southern Europe because: A. its land has never been conquered by foreign empires. B. its most popular religion is not Catholicism. C. its culture has not spread to other regions. D. its population is mostly located in rural areas.
Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B
What is Catholicism?Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church
Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.
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ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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A rectangle has a length 10 meters more than twice the width.
The area of the rectangle is less than 100 meters squared.
Write an expression that represents all possible widths (use the
variable x) of the rectangle. Write your answer as an inequality,
a
We only need to multiply by 10 to determine the length because we know the length is 10 meters longer than our width is 38.75 meters for L.
What is the explanation?The formula for a rectangle's perimeter is
2w + 2L = P where w stands for width and l for length.
The length is 10 meters longer than the breadth, according to this dilemma. So:
L = 10 + w
In our perimeter equation, we may replace L with 10 + w and also 80 in place of P, our perimeter, to solve:
2W + 2(10 + W) = 100
2W + 20 + 2W = 100
4W + 20 = 100
-25. -20
4W = 75
75 /4 =
18.75 meters in W
We only need to multiply by 10 to determine the length because we know the length is 10 meters longer than our width:
18.75 + 10 = 38.75 meters for L.
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Gotten two different answers…is it 18 or 55
Answer:
18.2%
Step-by-step explanation:
For this, you want to take the amount of 70 year old men that will die in the next 10 years and divide it by the total amount of men.
The table states "number out of 1,000 men" so this means there are 1000 total men in this study.
So:
182/1000 = 0.182 = 18.2%
Solve the equation for x, and enter your answer in the box below.
4x = 40
Answer:
10
Step-by-step explanation:
4x=40
40/4= 10
Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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As the earth revolves around the sun, it travels at a speed of approximately 18 miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will the earth travel in 2 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answer.
Answer:
i dont know have an amazing day
Step-by-step explanation:
be kind ppl
answer correctly. thank you
Answer:
1. If it rains tomorrow then the concert will be canceled.
2. If you have two square roots then it's a positive integer.
Step-by-step explanation:
Changing the order of the words and adding if/then
Provide the missing statement and reasons for the following proof:
Given: 9(x+6)−41=75
Prove: x=62/9
Statement | Reason
-------------------------------------------------
S1. 9(x+6)-41=75 | R1.
S2. 9(x+6)=116 | R2.
S3. | R3. Distributive Property
S4. 9x=62 | R4.
S5. x=62/9 | R5.
----------------------------------------------------
The missing statement for the proof is;
Statement 3;S3 : 9x + 54 = 116
The missing reasons for the proofs are;
R1; Given
R2; Using Addition property of inequality
R3; Distributive property
R4; Using subtraction property of inequality
R5; Using Division property of inequality
We are given the equation;
9(x + 6) − 41 = 75
Step 2;
Using addition property of equality, we add 41 to both sides;
9(x + 6) - 41 + 41 = 75 + 41
9(x + 6) = 116
Step 3;
Using distributive property to distribute 6 over the items in the bracket to get;
9x + 54 = 116
Step 4; Using subtraction property of equality, we subtract 54 from both sides;9x + 54 - 54 = 116 - 54
9x = 62
Step 5; Using division property of equality, we divide both sides by 9 to get;9x/9 = 62/9
x = 62/9
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Please review the following sets of sentences and select the one that contains filler.
A. This Star Wars LEGO set has 305 pieces and includes two minifigures and two droids you can battle against each other.
B. Your kids will love the LEGO Star Wars Republic Fighter Tank and spend hours building it to completion.
C. The set features an opening top hatch with a cockpit where you can place the included Clone Trooper Gunner figure to ready for battle.
D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes.
The sentence that contains filler is: D. This set also includes heroes like Obi-Wan Kenobi and Anakin Skywalker, both of whom come fully-equipped with their signature lightsabers and Jedi robes. Option D
In this sentence, the phrase "also includes heroes like Obi-Wan Kenobi and Anakin Skywalker" acts as a filler. The main purpose of this phrase is to provide additional information about the set and highlight the inclusion of popular characters from the Star Wars franchise. It doesn't directly contribute to the core information about the set's features or components.
The other sentences (A, B, and C) provide specific details and descriptions about the LEGO set, such as the number of pieces, minifigures, droids, and features like the opening top hatch and cockpit. They directly convey important information about the set itself without any filler or additional unnecessary information.
In marketing or promotional contexts, fillers are often used to enhance the appeal of a product or create excitement by mentioning well-known or desirable elements that may not be directly relevant to the core features. The filler in sentence D serves to attract fans of Obi-Wan Kenobi and Anakin Skywalker by emphasizing their presence in the set and the inclusion of their iconic weapons and attire.
Option D
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Answer:D
Step-by-step explanation:
Please i need the answer fast k12
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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3x-2y=12
6x-4y-24
OIt has infinitely many solutions.
OIt has no solution.
O It has one solution (2, -3).
O It has one solution (4, 0).
Question one answer: S²=3V/H
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.
Step by step answer
Answer:
\(\ S=\sqrt{\dfrac{3V}{H}}}\)
Step-by-step explanation:
The opposite operation of squaring is taking the square root.
\(\ S=\sqrt{\dfrac{3V}{H}}}\)
We know that the denominator of a fractional power is the index of the corresponding root:
\(\displaystyle x^\frac{1}{n}=\sqrt[n]{x}\)
For n=2, we don't usually write the index in the root symbol:
\(x^{\frac{1}{2}}=\sqrt{x}\)
In the case of this problem, ...
\((S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}\)