Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0
h(-7)=
See graph below to help solve.
Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)
Answer:
the first one and the second
Step-by-step explanation:
.
Contains the point (5, 4) and is perpendicular to the y axis
Answer:
y = 4
Step-by-step explanation:
A horizontal line at
y = 4
is perpendicular to the y-axis and includes all values of x
Nicole works in a sporting goods store
and earns $324 a week and 5% of her
sales. One week Nicole earned $432.
What were her sales that week? Write
and equation and solve.
Answer:
2,160
Step-by-step explanation:
432-324=108 earnings based on sales
sales x 5%=108
sales=108/.05
sales=2,160
convert 6 miles to meters
Step-by-step explanation:
6miles= 9656.064 metres
Answer:
The answer is 9656.064 meters.
5(x+2)-4 = 13-7(x+1)
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0
In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West
Answer:
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Failed business in the Midwest.
Event B: Chemical industry.
Probability of failed business being in the Mid-West:
7900 out of 63509. So
[tex]P(A) = \frac{7900}{63509}[/tex]
Probability of a failed business being a chemical industry in the Mid-West.
1270 out of 63509. So
[tex]P(A \cap B) = \frac{1270}{63509}[/tex]
What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
lab scale known to have a standard deviation of 0.001gram, speimen weghtted 8 times. average weiht is 4.1602 gram. what is 99% confidence interval
Answer:
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=8[/tex]
Mean [tex]\=x=4.1602[/tex]
Standard deviation [tex]\sigma=0.001gram[/tex]
Generally 99\% confidence from table is mathematically given by
[tex]99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}[/tex]
[tex]P(-z<x<z)=0.99[/tex]
[tex]Z_{\alpha/2}=2.576[/tex]
Generally the equation for 99\% confidence level (CI) is mathematically given by
[tex]99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}[/tex]
[tex]99\% CI=4.1602 \pm 0.0009[/tex]
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2
Answer:
Step-by-step explanation:
x+2
A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The polynomial function f(x) graphed on the coordinate plane below.
Now, We have;
The vertex of the function is,
⇒ x = - 2
⇒ x + 2
Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,
⇒ x + 2
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A person's Body Mass Index (BMI) is a measure of the amount of fat in their body. The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following line of best fit: [tex]y=-1.2x+26[/tex] . Interpret the slope and intercept of the trend line within the context of the data.
DIRTY ANSWERS REPORTED
NO LINKS ALLOWED!
Answer:
The slope of -1.2 means that for each cup of antioxidant a person consumes per day, it's BMI decreases by 1.2.
The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Step-by-step explanation:
Line of best fit:
[tex]y = -1.2x + 26[/tex]
Slope:
The slope is the number that multiplies x, that is, -1.2. The slope of -1.2 means that for each cup of antioxidant food a person consumes per day, it's BMI decreases by 1.2.
Intercept:
Value of y when x = 0, that is, 26. The intercept of 26 means that a person that does not consume any cup of antioxidant food a day should have an BMI around 26.
Answer:
the slope is -1.2 and the intercept is 26.
Step-by-step explanation:
our line's equation is y= -1.2x + 26
In the equation y = mx + b, m is the slope and b is the y-intercept. So in this equation, look for where the numbers are placed and that it what you get.
Please find the general limit of the following function:
[tex]\lim_{x \to 9}(x^2 + 2^7 + (9.1 \times 10))[/tex]
Answer:
The general limit exists at x = 9 and is equal to 300.
Step-by-step explanation:
We want to find the general limit of the function:
[tex]\displaystyle \lim_{x \to 9}(x^2+2^7+(9.1\times 10))[/tex]
By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.
So, let's find each one-sided limit: the left-hand side and the right-hand side.
The left-hand limit is given by:
[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))[/tex]Since the given function is a polynomial, we can use direct substitution. This yields:
[tex]=(9)^2+2^7+(9.1\times 10)[/tex]
Evaluate:
[tex]300[/tex]
Therefore:
[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1 \times 10))=300[/tex]
The right-hand limit is given by:
[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))[/tex]
Again, since the function is a polynomial, we can use direct substitution. This yields:
[tex]=(9)^2+2^7+(9.1\times 10)[/tex]
Evaluate:
[tex]=300[/tex]
Therefore:
[tex]\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]
Thus, we can see that:
[tex]\displaystyle \lim_{x \to 9^-}(x^2+2^7+(9.1\times 10))=\displaystyle \lim_{x \to 9^+}(x^2+2^7+(9.1\times 10))=300[/tex]
Since the two-sided limits exist and are equivalent, the general limit of the function does exist at x = 9 and is equal to 300.
Step-by-step explanation:
Hey there!
Please look your required answer in picture.
Note: In left hand limit always take a smaller near number of the approaching number. For example as in the solution I took the 8.99,8.999 as it is smaller than 9 but very near to it.
And in right hand limit always take a smaller and just greater near number than the approaching number. For example, I took 9.01,9.001 which a just greater but very near to 9.
Hope it helps!
For this graph, mark the statements that are true.
A. The domain is the set of all real numbers greater than or equal to zero.
B. The range is the set of all real numbers.
C. The range is the set of all real numbers greater than or equal to zero.
D. The domain is the set of all real numbers.
Given:
The graph of function.
To find:
The correct statement for the domain and range of the given graph.
Solution:
Domain: The set of input values.
Range: The set of output value.
From the given graph it is clear that the graph represents a polynomial function.
The given graph of a polynomial function is defined for all real values of x. So, the domain is the set of all real numbers.
The graph of the function approaches from negative infinite to positive infinite. So, the output the given graph is set of all real numbers. It means the range is the set of all real numbers.
Therefore, the correct options are B and D.
The true statements are:
B. The range is the set of all real numbers.
D. The domain is the set of all real numbers.
From the figure, we can see that the graph extends in all directions without any end.
This means that, the graph of the function can take any real value as its input, and output
Hence, the domain and the range of the graph are set of all real numbers
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Write the standard equation of a circle with center (-1, 4) and radius 5
Answer:
(x + 1)² + (y - 4)² = 25
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
h and k represents the coordinates of the centre.
r represents the radius of the circle.
Given the following data;
h = -1
k = 4
r = 5
Substituting into eqn 2, we have;
(x - {-1})² + (y - 4)² = 5²
Simplifying further, we have;
(x + 1)² + (y - 4)² = 25
In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE
Answer:
x = 3
Step-by-step explanation:
Given :
AE = 3, EB = 4, CE = x, and ED = x +1,
Equating chord AB and CD
AE*EB = CE*ED
3*4 = x*(x+1)
12 = x² + x
x² + x - 12 = 0
x² +4x - 3x - 12 = 0
x(x + 4) - 3(x + 4)
(x + 4) = 0 or (x - 3) = 0
x = - 4 or x = 3
Distance can't be negative :
x = 3
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!
Answer:
Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.
One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.
In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.
"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.
I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.
2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.
3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.
4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.
5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?
6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.
7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.
Problem solving strategies refer to the methods that are used by an individual in the solving of problems. An individual can be faced with challenges at their place of work or at home. In order to solve such problems, it's necessary to have a problem solving strategy in place.Firstly, one needs to under the problem. Then, one has to find potential solutions to the problem and the best solution out of the alternatives would be chosen. The chosen solution would then be implemented.Problem solving strategies are also required in mathematics. In order to solve a particular mathematics question, one needs to understand the problem first and find the solution to the problem.In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.
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4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?
Answer:
Simple interest
Step-by-step explanation:
Because its a period of 8 years
select the correct answer. The capacity of a circular bowl varies directly with the cube of its diameter. How does the capacity of the bowl change when the diameter is doubled? a. the capacity is multiplied by 8. b. the capacity is multiplied by 2. c. the capacity is multiplied by 1/8. d. the capacity is multiplied by 1/2.
Answer:
A
Step-by-step explanation:
got it right on the test
In a directly proportional relationship, increasing one variable will increase another. The correct option is A.
What is the directly proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
Given that the capacity of a circular bowl varies directly with the cube of its diameter. Therefore, the relationship can be written as,
Volume of the bowl ∝ (Diameter of the bowl)³
V₁ ∝ (D)³
Now, if the diameter of the bowl is increased and made double. Then the volume of the bowl will be,
Volume ∝ (2 × Diameter)³
V₂ ∝ (2D)³
V₂ ∝ 8(D)³
V₂ ∝ 8 V₁
Thus, when the diameter is doubled then the capacity of the bowl changes to 8 times the initial.
Hence, the capacity is multiplied by 8.
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A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t seconds after launch is given by f(t)= -34t+291.
Between 1 second and 8 seconds, the ball's height changed by ... feet.
(Round answer to the nearest tenth.)
Answer:
966 feet
Step-by-step explanation:
First, we can see that we have the velocity function given, a base value for the height, and need to figure out the change in height. We also know that velocity is the derivative of position/height. Thus, we can find the integral of the velocity to find an equation for the height.
[tex]\int\limits^1_0 {-34t+291} \, dt\\[/tex]
Use the exponent rule to turn -34t into -17t² and 291 into 291t to get our result as
-17t²+291t + C = height (h)
When t=0, we know that our height (h) is 6, so C = 6, making our equation
-17t²+291t + 6
To find the change between 1 second and 8 seconds, we can plug 1 and 8 in for t, and find the difference between those values, which is
(-17(8)²+291(8) + 6) - ( -17(1)²+291(1) + 6 )
= 1246 - 280
= 966
Note that we did final value (t = 8) - initial value (t=1), not the other way around
The change in height, between 1 second and 8 seconds, is therefore 966 feet
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
The London Eye Ferris wheel has a diameter of 120 meters. It completes one revolution in 30 minutes. About how far will a person travel along the arc of the Ferris wheel in 10 minutes while riding the London Eye?
Answer:
Step-by-step explanation:
Find the value of x to the nearest degree.
16
7
Not drawn to scale
x°
Answer:
66°
Step-by-step explanation:
Given the right angled triangle :
Opposite side = 16
Adjacent side = 7
Using trigonometric relation :
Tan θ = opposite / Adjacent
Tan x = (16/7)
x = tan^-1(16/7)
x = 66.37°
x = 66°
Candice works at a grocery store. She works 35 hours a week and
gets paid $8.50 an hour. For every hour over 35, Candice gets
paid $10 an hour. If she was paid $357.50 last week, how many
hours over 35 did Candice work?
9514 1404 393
Answer:
6
Step-by-step explanation:
For 35 hours, Candice is paid ...
($8.50/h)(35 h) = $297.50
Any amount in excess of that is paid at $10 per hour. The amount of excess pay is ...
$357.50 -297.50 = $60.00
Then the number of overtime hours was ...
$60/($10/h) = 6 h
Candice worked 6 hours over 35 last week.
Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82. what is the probability that four of the patients are still alive after five years?
Answer:
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Po is an oncologist with seven patients in their care.
This means that [tex]n = 7[/tex]
The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.
This means that [tex]p = 0.82[/tex]
What is the probability that four of the patients are still alive after five years?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]
0.0923 = 9.23% probability that four of the patients are still alive after five years.
If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?
Answer:
the first term is 4
which statement is true?
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
simplify the expression
Answer:
The answer is C.
Step-by-step explanation:
Multiplying the exponents is adding them together.
Answer:
x^8
Step-by-step explanation:
Multiply the terms with the same base by adding their expondents
x^6+2^2
add the numbers 6+2= 8
In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value
Answer:
d. Recent observed value
Step-by-step explanation:
Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
D. 268.1 m³
Step-by-step explanation:
Volume = 4/3 * 3.14 * 4³
Volume = 4/3 * 201
Volume = 268 ≈ 268.1
If my answer is incorrect, pls correct me!
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-Chetan K
2x[tex]2x^{2} - 14x + 24[/tex]
Given the diagram below, find the value of x. Then find AC,
Answer:
[tex]x=5,\\AC=14[/tex]
Step-by-step explanation:
Since one triangle is inscribed in another, the two triangles are similar. As marked in the diagram, the sides of the larger triangle are exactly two times larger than the corresponding sides of the smaller triangle.
Therefore, we have:
[tex]2(x+2)=4x-6,\\2x+4=4x-6,\\10=2x,\\x=\boxed{5}[/tex]
Since AC is marked by [tex]4x-6[/tex]:
[tex]AC=4(5)-6,\\AC=20-6,\\AC=\boxed{14}[/tex]
