Answer:
(a) 9
Step-by-step explanation:
\(\sf t^3 - r + 20 \div r\)
substitute r = 4, t = 2
\(\sf (2)^3 - 4 + 20 \div 4\)
simplify
\(\sf (2)^3 - 4 + 5\)
cubic of 2 is 8
\(\sf 8 - 4 + 5\)
simplify
\(\sf 9\)
Answer:
(a) 9
Step-by-step explanation:
r = 4; t = 2
t³ - r + 20 ÷ r =
= 2³ - 4 + 20 ÷ 2
Order of operations says do the exponent first.
= 2 × 2 × 2 - 4 + 20 ÷ 4
Now do the multiplications and the division.
= 8 - 4 + 5
Do the subtraction.
= 4 + 5
Add.
= 9
To reach escape velocity, a rocket must travel at the rate of 2.2\times 10^(6)f(t)/(m)in. Convert 2.2\times 10^(6) to standard notation.
2.2×10^6 in standard notation is 2,200,000.
To convert 2.2×10^6 to standard notation, we can simply move the decimal point 6 places to the right.
2.2×10^6 = 2,200,000
in scientific notation, the number is written as a product of a decimal number between 1 and 10 and a power of 10.
In this case, we have 2.2×10^6. The decimal number is 2.2, and the exponent is 6.
To convert this to standard notation, we need to multiply the decimal number by 10 raised to the power of the exponent.
Start with the decimal number 2.2 and multiply it by 10 raised to the power of 6.
2.2 × (10^6)
10^6 means 10 raised to the power of 6, which is 10 multiplied by itself 6 times:
10 × 10 × 10 × 10 × 10 × 10 = 1,000,000.
Now, multiply the decimal number 2.2 by 1,000,000:
2.2 × 1,000,000 = 2,200,000.
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I need help to answer this please help and give me a step by step so I can understand it I may or may not have forgot 5(7p+13)
Answer: 35p+65
Step-by-step explanation: Distribute the 5 to the 7p and 13.
5x7p=35p
5x13=65
Add these together to get 35p+65.
Answer:
If you need to clear P
Step-by-step explanation:
Set the parentheses using: \(a(b+c)=ab+ac\)
\(=5*7p+5*13\)
\(= 35p+65\)
Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.
Factor the GCF out of the terms on the left side.
If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)
The original equation is 2x^2 +6x+4=24 ft.^2
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
-5 + -1x = 0
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
x = -5
Step-by-step explanation:
Which one of the following procedures would improve the reliability and validity of grading shortessay tests, thus refuting the complaint of sensitivity to bias and variability in grading?A) Administering more pretestsB) Grading on the curveC) Implementing a contract systemD) Using a scoring rubric
The most appropriate procedure from the given options that would improve the reliability and validity of grading short essay tests, thus addressing the complaint of sensitivity to bias and variability in grading, is: D) Using a scoring rubric.
A scoring rubric is a predefined set of criteria or guidelines that outlines the specific expectations and standards for evaluating student responses. By using a scoring rubric, the grading process becomes more objective, consistent, and transparent, thereby reducing bias and variability in grading.
A scoring rubric provides a structured framework that allows graders to assess and assign scores based on predetermined criteria, such as content knowledge, organization, clarity, coherence, and grammar. It ensures that all essays are evaluated using the same standards and eliminates subjective judgment as much as possible.
Administering more pretests (option A) may provide additional practice or feedback to students but does not directly address the issue of bias and variability in grading.
Grading on the curve (option B) adjusts grades based on the performance of other students in the class, which does not directly address bias or variability in grading. It can introduce its own set of issues and may not reflect the true quality of each individual student's work.
Implementing a contract system (option C) refers to a negotiated agreement between students and instructors regarding grading criteria, which may help clarify expectations but does not inherently address bias or variability.
Therefore, using a scoring rubric (option D) is the most appropriate procedure to improve the reliability and validity of grading short essay tests while minimizing sensitivity to bias and variability in grading.
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Or
Hunter has 2
1
2
hours to spend at Wally's Game World. He spends
1
4
of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes
3
4
of an hour, how many rounds does Hunter play?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions
In linear equation, 3 rounds does Hunter play .
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable.It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.A linear equation in one variable would be 9x + 78 = 18, for instance.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.= \(2\frac{1}{2} - \frac{1}{4}\)
= 9/4
= \(\frac{9/4}{3/4}\)
= 3
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I need help I don't understand this.
Answer:
x=5
Step-by-step explanation:
(5x+2)/3 = 9
Multiply each side by 3
(5x+2)/3 *3 = 9*3
5x+2 = 27
Subtract 2 from each side
5x+2-2 = 27-2
5x = 25
Divide by 5
5x/5 = 25/5
x =
The volume of this cone is 643,072 cubic inches. What is the radius of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cone is 783.84/√h
What is volume of a cone?A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cone is expressed as;
V = 1/3πr²h
643072 × 3 = 3.14 × r²h
r²h = 614400
r² = 614400/h
r = 783.84/√h
therefore the radius of the cone is 783.84/√h
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The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π
Answer:
Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.
Find the surface area of the cylinder.
Answer:
1188 inches
Step-by-step explanation:
Answer:
The surface area of the cylinder with a radius of 7 and height of 20 would be 1186.92.
Step-by-step explanation:
The formula as given by the image is
h=20, r=7.
Substitute your radius and height as follows:
SA=\(SA=2*pi*r^2+2pi*r*h\\(2*3.14*7^2)+(2*3.14*7*20)\)
And now solve!
307.72+879.2=1186.92
The answer would be 1186.92
6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboard that has a diameter of 20 in and it is divided into 20 congruent sectors. Find the area of one sector.
Part I: Find the central angle. (Hint: A circle has 360 degrees.) (1 point)
Part II: Use your answer from Part I to find the fraction of the circle that one sector will take up. (1 point)
Part III: Use the fractional part from Part II with the area formula to find the area of one sector of the circle to the nearest tenth. (2 points)
Answer:
A sector of a circle is simply a part of a circle that is enclosed by two radii and a part of the circle's circumference (arc). If the arc makes an angle θ at the center of the circle, then the area of the sector is equal to A=θ360πr2 A = θ 360 π r 2 .
Step-by-step explanation:
Find the smallest number a such that A + BB is regular for all B> a.
The smallest number a such that A + BB is regular for all B > a can be determined by finding the eigenvalues of the matrix A. The value of a will be greater than or equal to the largest eigenvalue of A.
A matrix A is regular if it is non-singular, meaning it has a non-zero determinant. We can consider the expression A + BB as a sum of two matrices. To ensure A + BB is regular for all B > a, we need to find the smallest value of a such that A + BB remains non-singular. One way to check for singularity is by examining the eigenvalues of the matrix A. If the eigenvalues of A are all positive, it means that A is positive definite and A + BB will remain non-singular for all B. In this case, the smallest number a can be taken as zero. However, if A has negative eigenvalues, we need to choose a value of a greater than or equal to the absolute value of the largest eigenvalue of A. This ensures that A + BB remains non-singular for all B > a.
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10.
Find the measure of angle 1.
8x - 4
16x + 8
Answer:
53°
Step-by-step explanation:
As we can see that ∠3 and ∠7 are corresponding angles. Therefore,
∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2Now calculate the angles of ∠3 and ∠7.
∠36x+86×15/2+845+853°∠78x-78×15/2-760-753°Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that
∠3 = ∠7 = ∠1 = 53°Hence the measure of ∠1 is 53°.
♦♦♦♦♦Hope it helps♦♦♦♦♦
Solve for x. Round to the nearest hundredth.
17
18°
х X
what trigonometric function would you use to find x?
O Cosine
Sine
Tangent
O Secant
O Cosecant
Answer:
5
Step-by-step explanation:
like i dont know probably 5 its kinda weird. it definitely has to be 5
The number of observations in a complete data set having 10 elements and 5 variables is _____ ... a. data b. variables c. elements d. variables and elements.
The number of observations in a complete data set with 10 elements and 5 variables is a. data.
In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.
Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.
Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10
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Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called:reasonevidencerebuttalstructural element
The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.
The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.
Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".
While we have looking into the given statement, we have identified the following from it,
factsstatistics, numerical data, quotations, specific examples, and expert opinionsWhen we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.
So, all these things are collectively called as evidence.
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Review the careers that you listed in question 1. Do any of the careers interest you? Which ones? Why do you find them interesting? Choose two careers to write about. If none of the careers interest you, write about the two that you find the least interesting and state why. In either case, write two to three paragraphs that are each about 75 words long.
Answer:
I hope you got your answer.
What is the surface area of the prism
Answer:
14 squared
Step-by-step explanation:
Answer:
amor no te enojes conmigo hacienda
Which line screen setting are you most likely to use when printing a newspaper?
When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).
I need help with my math worksheet
Answer:
Below is a reference sheet.
how to solve this equation?
Answer: 1
Step-by-step explanation:
Explanation and steps in photo
100 POINTS PLEASE HELP ASAP!!!!!
There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.
Answer:
5x pounds
Step-by-step explanation:
Here's the solution if you need, hope it's help
The table shows several characteristics of two United States coins.
Characteristics of Two
United States Coins
Penny
Presidential
Dollar
26.49
Diameter (mm)
Height (mm)
Copper
19.05
1.55
2.00
2.5%
97.5%
88.5%
6%
Zinc
Nickel
2%
US coins are roughly in the shape of cylinders. Therefore, the formula for the volume of a cylinder can be used to compare the volumes
of coins. How does the combined volume of 3 pennies compare to the volume of 1 presidential dollar?
Select from the drop-down menus to correctly complete the sentence.
The volume of 3 pennies is Choose
than the volume of 1 presidential dollar by approximately choose,
cubic
millimeters.
The absolute value of -332.42 is approximately 23.37 cubic millimeters.
The volume of 3 pennies is less than the volume of 1 presidential dollar by approximately 23.37 cubic millimeters.
To compare the volumes of the coins, we need to use the formula for the volume of a cylinder, which is:
Volume = π × (radius)² × height
For the penny, the radius is half the diameter, which is 19.05/2 = 9.525 mm. The height is 1.55 mm. Using these values, we can calculate the volume of one penny:
Volume of one penny = π × (9.525)² × 1.55 = 693.08 cubic millimeters
For the presidential dollar, the radius is half the diameter, which is 26.49/2 = 13.245 mm. The height is 2.00 mm. Using these values, we can calculate the volume of one presidential dollar:
Volume of one presidential dollar = π × (13.245)² × 2.00 = 1,746.82 cubic millimeters
Therefore, the combined volume of 3 pennies is:
Volume of 3 pennies = 3 × 693.08 = 2,079.24 cubic millimeters
To compare this to the volume of one presidential dollar, we can subtract the volume of 3 pennies from the volume of one presidential dollar:
Volume of 1 presidential dollar - Volume of 3 pennies = 1,746.82 - 2,079.24 = -332.42 cubic millimeters
Since the result is negative, we know that the volume of 3 pennies is less than the volume of 1 presidential dollar. The absolute value of -332.42 is approximately 23.37 cubic millimeters.
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can someone help me really quick
Answer:
21
Step-by-step explanation:
63 divided by 3 is 21
210 divided by 10 is 21
A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen at
random. What is the probability that a pen from the first box and a crayon from the second hoy are selected?
Answer:
50% pen first box and 62.5% crayon from second box
Step-by-step explanation:
The first box contains 4 items, 2 of each. This means there are \(\frac{2}{4}\) pens. This gives you a \(\frac{2}{4}\) chance of picking out a pen. This can be written as 50%.
The second box contains 8 items, 3 color pencils and 5 crayons. This means \(\frac{5}{8}\) of the contents are crayons, meaning you have a \(\frac{5}{8}\) or 62.5% chance of picking a crayon.
*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.
**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!
What is one way to simplify variables with many, many levels (or decimal places) when creating a frequency distribution?A. Ignore outliers B. Organize data into class intervals C. Graph each level of the variable individually D. Compute a mean, median, and mode
One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).
By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.
This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.
Option B holds true.
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Find the circumference of the circle
Answer:
Formula for circumference;
C = 2πr
replace those values
C = 2 x 3.14 x 9
C = 56.52 inches, C
Answer:
The circumference would be 56.52
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
C = 2 × 3.14 × 9
C = 56.52
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
b
Step-by-step explanation:
determine the intervals on which the graph of =()y=f(x) is concave up or concave down, and find the points of inflection.
the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.
To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.
Here's the step-by-step process to find the intervals of concavity and points of inflection:
Find the first derivative of the function, f'(x).
Find the second derivative of the function, f''(x).
Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.
Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.
Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.
Let's go through an example to illustrate this process:
Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.
Find the first derivative, f'(x):
f'(x) = 3x^2 - 6x - 9.
Find the second derivative, f''(x):
f''(x) = 6x - 6.
Set f''(x) equal to zero and solve for x:
6x - 6 = 0.
Solving for x, we get x = 1.
Therefore, the potential point of inflection is x = 1.
Determine the intervals and signs of f''(x):
Choose test points in each interval and evaluate f''(x).
Interval 1: (-∞, 1)
Choose x = 0 (test point):
f''(0) = 6(0) - 6 = -6.
Since f''(0) < 0, the graph is concave down in this interval.
Interval 2: (1, +∞)
Choose x = 2 (test point):
f''(2) = 6(2) - 6 = 6.
Since f''(2) > 0, the graph is concave up in this interval.
Check the concavity at the point of inflection:
Evaluate f''(x) on either side of x = 1.
Choose x = 0 (left side of x = 1):
f''(0) = -6.
Since f''(0) < 0, the graph is concave down on the left side of x = 1.
Choose x = 2 (right side of x = 1):
f''(2) = 6.
Since f''(2) > 0, the graph is concave up on the right side of x = 1.
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