According to the given statement :
(1/4)c + 3d= 45/2 when c = 6 & d = 7
In math, what is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as the denominator of a complex fraction.
How is a fraction made?Fractions can be used to represent decimals. Place your decimal number above its place value to convert it to a fraction. For instance, since the number six occupies the tenths place in the fraction 0.6, we must multiply it by 10 to get the comparable fraction, 6/10.
According to the given data:Evaluate (1/4)c + 3d
when c = 6 & d = 7
x = (1/4)c + 3d
putting c = 6
& d = 7
=> x = (1/4) * 6 + 3*7
=> x = 3/2 + 21
=> x = (3 + 42)/2
=> x = 45/2
=> x = 22.5
=> (1/4)c + 3d= 22.5 when c = 6 & d = 7
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In the given problem, find a similar relationship to the given relationship. Support the answer with an explanation.
Notice that the relation between the first two figures is that the outside figure becomes the inside figure, and the inside figure becomes the outside figure.
Therefore the triangle inside the square corresponds to the square inside the triangle.
Answer: Option A.
I went to a toy shop and bought a toy car which costs $16.80, but there was a 20% discount. how much did I pay?
Step-by-step explanation:
16.80 - 20% of 16.80 = 13.44
you paid 13.44$
Answer:
=13.44
Step-by-step explanation:
0.20×16.80=3.36
16.80-3.36=13.44
hana will win a prize if the sum of the two spinners is an even number greater than 8. what are all of the possible outcomes in which hana wins the game? {10, 12} {1, 2, 3, 4, 6, 8} {4, 6, 8, 10, 12} {3, 4, 5, 6, 7, 8, 9, 10, 12}
Hana will win a prize if the sum of the two spinners is an even number greater than 8. The possible outcomes in which Hana wins the game, based on the given condition, are {10, 12} and {4, 6, 8, 10, 12}.
To determine the possible outcomes in which Hana wins the game, we need to find the sum of the two spinners and check if it meets the given conditions of being an even number greater than 8.
The set {10, 12} satisfies the conditions because both sums (10 and 12) are even numbers greater than 8. Therefore, Hana wins when the outcome is either 10 or 12.
The set {4, 6, 8, 10, 12} also satisfies the conditions since all the sums in this set (4, 6, 8, 10, and 12) are even numbers greater than 8. Thus, Hana wins when the outcome is any of these values.
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How would you suggest that managers avoid the quick-fix mentality that makes management by best-seller so tempting?
You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:
1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.
2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.
3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.
4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.
5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.
6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.
By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.
Hope this helped you...
6. The height of a triangle is 2 units more than the base. The area of the triangle is 10 square units. Find
the base to the nearest hundredth.
Answer:
4.24
Step-by-step explanation:
First, let's set up the equation: \(\frac{2+x^2}{2}=10\)
Next, clear the fraction by multiplying both sides by 2:\(2*(\frac{2+x^2}{2}=10)=2+x^2=20\)
Then, subtract 2 from both sides: \(x^2=18\)
Finally, take a square root of both sides and round: \(\sqrt{x^2=18} =\)(Rounded to the nearest hundredth) 4.24
We will see that the base of the triangle measures 4 units.
How to find the base of the triangle?
For a triangle of base b and height h, the area is:
A = b*h/2
In this case, we know that:
A = 10 square units.
h = b + 2
Then we can write:
10 = b*h/2
If we replace the second equation into the above one, we get:
10 = b*(b + 2)/2
Now we can solve this for b:
\(20 = b^2 + b\)
Then we need to solve the quadratic equation:
\(b^2 + b - 20 = 0\)
The solutions are given by Bhaskara's formula.
\(b = \frac{-1 \pm \sqrt{1^2 - 4*1*(-20)} }{2} \\\\b = \frac{-1 \pm 9 }{2}\)
The solution that we care for is the positive one:
b = (-1 + 9)/2 = 4
The base measures 4 units.
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Use the number line below, where RS=8y+2, ST=5y+9, and RT=115
The values of RS and ST for the collinear points R, S and T are RS = 66 and ST = 49.
Finding the Values of RS and ST for Collinear PointsWhen points are collinear, it means they lie on the same straight line. In this case, we are given three collinear points R, S, and T, and the lengths of RS, ST, and RT.
Let's use the fact that the sum of the lengths of RS and ST equals the length of RT.
This gives us the equation:
RS + ST = RT
Substituting the given values, we get:
(8y + 2) + (5y + 9) = 115
Simplifying this equation, we get:
13y + 11 = 115
Solving for y, we get:
y = 8
Now that we know the value of y, we can find the values of RS and ST:
RS = 8y + 2 = 66
ST = 5y + 9 = 49
Therefore, RS = 66 and ST = 49.
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Complete question
Use the number line below, where RS=8y+2, ST=5y+9, and RT=115
Find the value of RS and ST,
please help!
Set up a proportion to solve for x in the following similar triangles.
Please answer this!!!
Will be Brainlist!!!
Answer:
show the question
sorry
Step-by-step explanation:
plz follow me
Answer:
1) а 2)b
вот правильный ответ
a positive integer is written on each face of a cube. each vertex is then assigned the product of the numbers written on the three faces intersecting the vertex. the sum of the numbers assigned to all the vertices is equal to 1001. find the sum of the numbers written on the faces of the cube.
The sum of the numbers written on the faces of the cube is 333.
What is vertex?A vertex, also known as a point, is a fundamental part of a shape or an object. It is the point at which two or more lines, edges, or faces meet. Vertex can also refer to the corner of a polygon, where multiple lines meet. In 3D geometry, a vertex is a point where three or more edges meet. In a 3D object, each vertex is considered to be a corner of the object. Vertices are a crucial part of the structure and design of shapes, and can be used to define a shape's size, shape and dimension.
The sum of the numbers written on the faces of the cube is equal to the sum of the products of the numbers assigned to the vertices of the cube divided by three. Since the sum of the numbers assigned to all the vertices is equal to 1001, the sum of the numbers written on the faces of the cube is equal to 1001/3, which is equal to 333. Therefore, the sum of the numbers written on the faces of the cube is 333.
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find the área of the windows
The total area of the window is 1824 square inches
Calculating the area of the windowFrom the question, we have the following parameters that can be used in our computation:
The composite figure that represents the window
The total area of the window is the sum of the individual shapes
So, we have
Surface area = 48 * 32 + 1/2 * 48 * 12
Evaluate
Surface area = 1824
Hence. the total area of the window is 1824 square inches
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I need help with this please! Thanks :)
Which of these is the result of completing the square for the expression x^2 + 8x – 30?
Answer:
Option 2. That is the best option for this problem
Hiiiooo! Can someone please help me out with this!❤️
Answer:
8
Step-by-step explanation:
6² + b² = 10²
36 + b² = 100
-36 -36
b² = 64
\(\sqrt{64}\) = 8
b² = 8
hope this helps
which of the following is most likely a population as opposed to a sample? a) respondents to a newspaper survey. b) the first 5 students completing an assignment. c) every third person to arrive at the bank. d) registered voters in a county.
The option that is most likely a population as opposed to a sample is registered voters in a county. The correct answer is Option D.
A population is a group of individuals, objects, or events whose properties are being studied. A sample is a smaller subset of the population that is selected to represent the whole population.
The four options given in the question are all sets of individuals who are being studied, but the difference is how they were selected. Respondents to a newspaper survey, the first 5 students completing an assignment, and every third person to arrive at the bank are all examples of samples because they are subsets of a larger group.
However, registered voters in a county are most likely a population because they are the entire group that is being studied, and there is no need for a subset of this group since the entire population is available. Therefore, option d) registered voters in a county is the most likely population as opposed to a sample.
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6(c). if sample data is such that for a one-tailed test you can reject h0 at the 1% level of significance, can you always reject h0 for a two-tailed test at the same level of significance? explain your answer.
While rejecting H0 for a one-tailed test at a certain level of significance provides some information about the data, it does not necessarily mean we can reject H0 for a two-tailed test at the same level of significance.
When conducting a hypothesis test, we set a level of significance, which is the probability of rejecting the null hypothesis when it is actually true. A one-tailed test is a hypothesis test where we are only interested in one direction of the alternative hypothesis. For example, we might be interested in whether a new drug improves outcomes, but not whether it makes them worse. A two-tailed test, on the other hand, considers both directions of the alternative hypothesis.
If sample data is such that we can reject H0 at the 1% level of significance for a one-tailed test, it means that the probability of obtaining a result as extreme or more extreme than the one we observed, assuming the null hypothesis is true, is less than 1%. However, for a two-tailed test, the probability of obtaining a result as extreme or more extreme in either direction would need to be less than 1% to reject the null hypothesis.
Therefore, it is possible that we could reject H0 for a one-tailed test at the 1% level of significance, but not for a two-tailed test at the same level of significance. This would occur if the probability of obtaining a result as extreme or more extreme in the opposite direction of the alternative hypothesis is greater than 1%.
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The squared paper shows the nets of cuboid A and cuboid B.
А
B
A
Do the two cuboids have the same surface area?
Show calculations to show how you know.
Step-by-step explanation:
12x2=24
4x2=8
3x2=6
Adding,
24+8+6=38 which is not equal to 32
Therefore, they do not have same surface area
A polynomial has zeros of 7, 6.
What is the minimum degree of the polynomial?
The minimum degree of the polynomial is 2.
Given the polynomial has zeros of 7, 6 means it has total of 2 zeroes. So it has only two factors possible \((x-7) and (x-6)\) and on multiplying these factors we finally had a polynomial of degree 2 like\((ax^{2} +bx+c)\).
So the given polynomial be a quadratic polynomial which has degree of 2.
Hence the minimum degree of the polynomial is 2.
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If x>0 and y=0, Where is the poiny (x,y) located?
Answer:
x-axis
Step-by-step explanation:
y = 0==> x-axis
Answer:
the answer would be x-axis
Help me worth 15 points please
Answer:
11x
6+48y
Step-by-step explanation:
add all x values for the first problem
distribute 6 into (1+8y)
pls graph on desmos and send if you can
Answer:
The answer choices are attached.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
find the value of z plz
or, 2z + 2z - 64° = 180°
or, 4z = 180° + 64°
or, 4z = 244°
or, z = 61°
Answer:The value of z is 61°.
Hope it helps.
Do comment if you have any query.
find the particular solution y=f(x) to the differential equation
To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.
To find the particular solution to a differential equation, we need to know the specific form of the differential equation. Without this information, it is not possible to determine the particular solution.
A differential equation is an equation that relates a function and its derivatives. The form of the differential equation determines the method used to solve it and find the particular solution.
For example, a simple linear first-order ordinary differential equation has the form:
\(\frac{dy}{dx} = f(x)\).
To find the particular solution, we need additional information such as the initial condition \(y(x_0) = y_0\), where \(x_0\) and \(y_0\) are known values.
The method of solution depends on the specific type of differential equation, which can include linear equations, separable equations, exact equations, etc. Each type of equation requires different techniques to find the particular solution.If you provide the specific form of the equation you want to solve or any additional information or context, I can guide you through the process of finding the particular solution. Otherwise, without the differential equation, it is not possible to determine the particular solution.
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Given BD and CD are lines that are tangent to the circle with mZBDC=48", what is
mZBAC?
48%
m
The measure of ∠BAC is 140° which is the interior angle of the circle.
It is given that the lines BD and CD are tangent to the circle.
It is required to find the measure of ∠BAC if ∠BDC = 40°
What is a circle?
It is described as a group of points, each of which is equally spaced from a fixed point (called the centre of a circle).
We have BD and CD are tangent to circle ∠BDC = 40°
Here we can see in the figure that ∠BAC is the interior angle.
∠ACD = 90° and ∠ABD=90° (because AC is the perpendicular to DC)
So the measure of the ∠BAC is:
= 360 - ∠ACD - ∠ABD - ∠BDC
= 360 - 90 - 90 - 40
= 140°
Thus, the measure of ∠BAC is 140° which is the interior angle of the circle.
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CAN SOMEONE HELP ME PLEASEEEEEEEEEEEEEE I NEED HELP :(
Answer:
for the first three, divide the number by 2
for the second three, multiply by 2
9 and 11. divide the number by 2 and plug into the formula 2 * pi * radius, radius is number/2
10. plug 7 into formula 2 * pi * radius, radius = 7
Step-by-step explanation:
radius is half the length of the circle, diameter is the full length, circumference is 2 * pi * radius
A statistical analysis of 1,000 long-distance telephone calls made by a company indicates that the length of these calls is normally distributed, with a mean of 290 seconds and a standard deviation of 30 seconds. Complete parts (a) through (c).
a. What is the probability that a call lasted less than 230 seconds?
The probability that a call lasted less than
23 seconds is ?
(Round to four decimal places as needed.)
b. What is the probability that a call lasted between 230 and 330 seconds?
The probability that a call lasted between
230 and 330 seconds is
(Round to four decimal places as needed.)
c. What is the probability that a call lasted more than 330 seconds?
The probability that a call lasted more than
330 seconds is
(Round to four decimal places as needed.)
To find the probability of the call lasting less than 230 seconds, we have to find P(X<230). Here X follows normal distribution with mean = 290
The given data: Meanμ = 290 seconds
Standard deviation σ = 30 seconds
Sample size n = 1000a) and
standard deviation = 30.
We get the value of 0.0228, which represents the area left (or below) to z = -2. Therefore, the probability that the call lasted less than 230 seconds is 0.0228 (or 2.28%). By using z-score formula;
Z=(X-μ)/σ
Z=(230-290)/30
= -2P(X<230) is equivalent to P(Z < -2) From z-table,
0.6384 (or 63.84%) P(230330) is equivalent to 1 - P(X<330)Here X follows normal distribution with mean = 290 and standard deviation = 30.From part b,
We already have P(X<330).Therefore, P(X>330) = 1 - 0.9082 = 0.0918, which is equal to 9.18%. Therefore, the probability that the call lasted more than 330 seconds is 0.1356 (or 13.56%).Answer: 0.1356 (or 13.56%). In parts a, b, and c, the final probabilities are rounded off to four decimal places as needed, as per the instructions given. However, these values are derived from the exact probabilities and can be considered accurate up to that point.
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From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?
Answer:
31/10 or 3 1/10
Step-by-step explanation:
11 - 23/5 - 33/10
A bag of Skittles has 3
green, 2 purple, 4 yellow, 6 red, and 5 orange candies.
If you pick one candy 10 times and replace it after each draw, how many times would you expect to get a candy that isn't green or purple?
Therefore , the solution of the given problem of probability comes out be probability of don't get green or purple candy = 0.75 .
What exactly does the probability process entail?Calculating the likelihood that a statement is true or that an event will occur is the focus of the branch of mathematics known as probability theory. Any number from range 0 to 1, where 1 represents certainty and 0 normally represents possibility, may be used to represent chance. The likelihood that a particular event will occur is depicted in a probability diagram.
Here,
Given :
there are 3 green, 2 purple, 4 yellow, 6 red, and 5 orange candies in the skittles.
total candies = 3 + 2 + 4 + 6 +5 =20
To find the probability that you don't get green or purple candy :
So , the probability of green candies is = 3/20 = 0.15
and the probability of purple candies is = 2/20 = 1/10 = 0.1
The probability of don't get green or purple candy
=> 0.15 + 0.1
=> 0.25
and 1 - 0.25 = 0.75
Therefore , the solution of the given problem of probability comes out be probability of don't get green or purple candy = 0.75 .
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Each square in the grid is a unit square with an area of 1 square unit. What is the area of the figure? square units
Answer:
The total area of the figure is: 16 square units
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
Given that each square in the grid is a unit square with an area of 1 square unit.
The figure clearly shows that there are 14 complete squares and 4 half square units.
Thus, the total area of the figure is:
(1 × 14) + (1/2 × 4)
=14 + 2
= 16 square units
Therefore, the total area of the figure is: 16 square units
How do you solve SSS theorem?
A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.
Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.
Proof: Given, AB = DE, BC = EF, AC = DF.
To prove: ΔABC ≅ ΔDEF.
We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.
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Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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Air quality monitoring a. is an important step toward making the air safe for all earth's organisms. b. is unnecessary when the air is free of pollutants from human activities. c. is not believed to be helpful in maintaining the health of human populations. d. does not produce data that are reliable enough to justify air quality controls.
Air quality monitoring is an important step toward making the air safe for all Earth's organisms. Option A is the correct answer.
Air quality monitoring plays a crucial role in safeguarding the health and well-being of all organisms on Earth. Monitoring allows for the identification and measurement of various pollutants and contaminants in the air, including those from human activities such as industrial emissions, vehicle exhaust, and the burning of fossil fuels. By monitoring air quality, scientists and policymakers can assess the levels of pollutants and their impacts on human health, ecosystems, and the environment. This data is essential for developing and implementing effective air quality control measures and regulations to reduce pollution and mitigate its harmful effects. Monitoring also helps in identifying areas with poor air quality and implementing targeted interventions to improve air quality and protect vulnerable populations. Overall, air quality monitoring is a vital tool in ensuring a safe and healthy environment for all living organisms by providing valuable information for informed decision-making and proactive measures to address air pollution issues.
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