Answer:
What answer do you want for 1, 2, or 3
Step-by-step explanation:
Answer:
first one is neither, second is parallel, third is the second option
step-by-step explanation:
The volume of a rectangular prism is 4800 cm3. The base is 12 cm long and 20 cm wide.
What is the height of the prism?
Answer:
A. 20cm hope this helps
Step-by-step explanation:
Geometric Series (attached image) muiltx choice
WILL GIVE THANKS !!
Answer:
Step-by-step explanation:
(B). - 28.7
Explain how to compare decimals use the numbers 6. 75 and 6. 732 to help you explain this process
6.75 is greater than 6.732
What are decimal numbers?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Here, we have
Given
6.75 and 6.732
We have to compare two given decimal numbers.
First, we convert to a decimal number
In 6.75 there are two digits after decimal point.
In 6.732, there are three digits after the decimal point
Therefore, we put zero in 6.75 to convert like a decimal number
Now, we get
6.750
The unit place of both decimal numbers are the same and the tenth place of both decimal number are same.
Now, the hundredth place of 6.750 is 5, and the hundredth place of 6.732 is 3
5 >3
Hence, 6.750 is greater than 6.732
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1/7x1/7x1/7= 3/7 true or false
Answer:
The answer is false
A store sells prepackaged popcorn in two sizes
The package for the small size can be modeled by a cone with a height of 6 inches and a diameter of 4 inches
The package for the larger size can be modeled by a cone with a height of 9 inches and a diameter of 5 inches
Which of the following are true?
Select all that apply
A. The small popcorn has a volume of about 25.13 cubic inches
B. The small popcorn has a volume of about 75.40 cubic inches
C. The volume of two small popcorn is less than the volume of one large popcorn
D. The volume of two small popcorns is greater than the volume of one large popcorn
E. The volume of a large popcorn is about 135.09 cubic inches greater than the volume of the small popcorn
The answer is ,the statement that are true are: A. The small popcorn has volume of about 25.13 cubic inches , C. The volume of two small popcorn is less than volume of one large popcorn , E. The volume of large popcorn is about 34.68 cubic inches greater than volume of small popcorn (135.09 - 25.13 = 109.96).
What is Cone?A cone is three-dimensional geometric shape that tapers smoothly from flat, usually circular base to point called the apex or vertex. The base of cone can be any closed shape, but is usually a circle. A cone can be right or oblique, depending on whether or not the axis passing through the apex and the center of the base is perpendicular to the base.
The formula for volume of cone are V = (1/3)πr^2h, where r is radius and h is height.
For the small popcorn cone:
radius =diameter/2 =4/2=2 inches
V = (1/3)π(2²)(6) ≈ 25.13 cubic inches
For the large popcorn cone:
radius = diameter/2 = 5/2 = 2.5 inches
V = (1/3)π(2.5²)(9) ≈ 59.81 cubic inches
Therefore, the statements that are true are:
A. The small popcorn has volume of about 25.13 cubic inches
C. The volume of two small popcorn is less than volume of one large popcorn
E. The volume of large popcorn is about 34.68 cubic inches greater than volume of small popcorn (135.09 - 25.13 = 109.96)
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Write a simplified equation in point-slope form.
Line 1: m = -3, passes through (-4, 10)
Answer:
y=-3x-2
Step-by-step explanation:
y=mx+b; adjust b value --> y=-3x-2
What is the median value of the data set shown on the line plot?
HELP ASAP
Answer:
Median: 6
Step-by-step explanation:
1,2,3,3,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,11
half of 22 (total numbers) is 11, on the 11th spot it is 6
Which if the following is the sum of the geometric sequence where the first term is 3, the last term is 46875 and the common ratio is 4? A.58593 B.55893. C.64299. D.62499
Frugala is pleased when Sylvester puts $2000 into 10-year state bonds and $3000 into 5-year AAA rated bonds in steady hardware, inc. He buys the four state bonds at a 5% coupon rate and the three steady hand bonds at a 6.5% rate. Sylvester also buys two $500 bonds from a high tech firm at 7%, due in three years, at a total discount of $50.
1. What is the maturity of each of the three bond groups Sylvester buys?
2. What are the coupon rates?
3. What are the par values?
4. Which of Sylvester’s new investments are municipal bonds?
5. Which ones are corporate bonds?
6. For which bond purchase did Sylvester probably consult Standard & Poor?
State, AAA rated and High tech firm bonds have maturity of 10years, 5years and 3 years respectively.
Understanding Bonds and their MaturityBond is a financial instrument that represents a debt obligation. When you purchase a bond, you are essentially lending money to the issuer (which can be a government, corporation, or other entity) in exchange for regular interest payments and the repayment of the principal amount at a specified future date, known as the maturity date.
1. Maturity of Each Bond Group:
- State bonds: The state bonds have a maturity of 10 years.
- AAA rated bonds: The AAA rated bonds have a maturity of 5 years.
- High tech firm bonds: The high tech firm bonds have a maturity of 3 years.
2. Coupon Rates:
- State bonds: The state bonds have a 5% coupon rate.
- AAA rated bonds: The AAA rated bonds have a 6.5% coupon rate.
- High tech firm bonds: The coupon rate is not provided for the high tech firm bonds.
3. Par Values:
- State bonds: The par value of each state bond is not mentioned.
- AAA rated bonds: The par value of each AAA rated bond is not mentioned.
- High tech firm bonds: The par value of each high tech firm bond is $500.
4. Municipal Bonds:
Based on the given information, there is no mention of Sylvester purchasing any municipal bonds. Therefore, none of Sylvester's new investments are municipal bonds.
5. Corporate Bonds:
- High tech firm bonds: The high tech firm bonds are issued by a high tech firm, which indicates that they are corporate bonds.
6. Standard & Poor's Consultation:
From the information provided, there is no specific indication as to which bond purchase Sylvester consulted Standard & Poor's for.
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A clinical study related to diabetes and the effectiveness of the testing procedure is summarized below. • 2% of the population has diabetes The false positive rate is 12% The true positive rate is 81% . . Use Bayes' Theorem to find the probability that a subject actually has diabetes, given that the subject has a positive test result. Round your answer to 3 decimal places.
Using Bayes' Theorem, the probability that a subject actually has diabetes, given that the subject has a positive test result, is calculated to be ____. (rounded to 3 decimal places)
Bayes' Theorem is a mathematical formula used to calculate conditional probabilities. In this case, we want to find the probability of a subject having diabetes given that they have a positive test result.
Let's denote:
A = Event of having diabetes
B = Event of testing positive
According to the given information:
P(A) = 0.02 (2% of the population has diabetes)
P(B|A) = 0.81 (true positive rate)
P(B|not A) = 0.12 (false positive rate)
We can now apply Bayes' Theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
To calculate P(B), we need to consider both scenarios: a true positive (diabetic person testing positive) and a false positive (non-diabetic person testing positive).
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= 0.81 * 0.02 + 0.12 * 0.98
Substituting the values into the formula:
P(A|B) = (0.81 * 0.02) / (0.81 * 0.02 + 0.12 * 0.98)
Calculating this expression will give the probability that a subject actually has diabetes, given that they have a positive test result, rounded to 3 decimal places.
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find f'(x) when f(x) = (x^2) - 2x. find the equation of the tangent line and the normal line at x=4
The derivate of a function f(x) is determinated as:
\(f^{\prime}(x)=\lim _{h\to0}\frac{f(x+h)-f(x)}{h}\)For the function
\(f(x)=x^2-2x\)First we have to determine de f ( x + h ) as follow:
\(f(x+h)=(x+h)^2-2(x+h)\)\(f(x+h)=x^2+2xh+h^2-2x-h^{}\)Then we calculate and simplify the coeficient in the first formula
\(\frac{f(x+h)-f(x)}{h}\)\(\frac{(x^2+2xh+h^2-2x-h^{})-(x^2-2x)}{h}\)\(\frac{x^2+2xh+h^2-2x-h^{}-x^2+2x}{h}=\frac{h^2+2xh-h}{h}\)\(\frac{h^2+2xh-h}{h}\text{ = }\frac{h(h+2x-1)}{h}=h+2x-1\)So the derivate is:\(f^{\prime}(x)=\lim _{h\to0}\frac{f(x+h)-f(x)}{h}=\lim _{h\to0}h+2x-1\)\(f^{\prime}(x)=0+2x-1\)\(f^{\prime}(x)=2x-1\)------------------------------------------------------------------------------------The equation of the tangent:
First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function
And the equation to thist tangent in a specific point will be find using the next formula:
\(y-f(x_0)=m(x-x_0)_{}\)We have to calculate the slope in the point x =4 using the derivate:
\(m=2x-1\)\(m=2(4)-1=7\)In the point x=4
Calculate the value of f(x0) substituting in the function the given point x:
\(f(4)=4^2-2(4)\text{ = }8\)Knowing that we put the value of m and f(x0) in the equation of the tangent:
\(y-8=7(x-4)_{}\)\(y-8=7x-28\)\(y=7x-28+8\)So the equation of the tangent in x= 4 is:\(y=7x-20\)---------------------------------------------------------------------------
The normal line
The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:
\(m_n=-\frac{1}{m_t}\)So in this situation is:
\(m_n=-\frac{1}{7}\)The equation of the normal line is given by the next formula:
\(y-f(x_0)=m_n(x-x_0)_{}\)Replacing the data we obtain:
\(y-8=-\frac{1}{7}(x-4)_{}\)\(y-8=-\frac{1}{7}x+\frac{4}{7}\)So the equation of the normal line is:\(y=-\frac{1}{7}x+\frac{60}{7}\)Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
xy = 6
(a) Find dy/dt, given x = 4 and dx/dt = 11.
dy/dt =
(b) Find dx/dt, given x = 1 and dy/dt = –9.
dx/dt =
Answer:
A)
\(\displaystyle \frac{dy}{dt}=-\frac{33}{8}\)
B)
\(\displaystyle \frac{dx}{dt}=\frac{3}{2}\)
Step-by-step explanation:
x and y are differentiable functions of t, and we are given the equation:
\(xy=6\)
First, let's differentiate both sides of the equation with respect to t. So:
\(\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]\)
By the Product Rule and rewriting:
\(\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0\)
Therefore:
\(\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0\)
A)
We want to find dy/dt when x = 4 and dx/dt = 11.
Using our original equation, find y when x = 4:
\(\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}\)
Therefore:
\(\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0\)
Solve for dy/dt:
\(\displaystyle \frac{dy}{dt}=-\frac{33}{8}\)
B)
We want to find dx/dt when x = 1 and dy/dt = -9.
Again, using our original equation, find y when x = 1:
\((1)y=6\Rightarrow y=6\)
Therefore:
\(\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0\)
Solve for dx/dt:
\(\displaystyle \frac{dx}{dt}=\frac{3}{2}\)
find The distance between the point A= (1,2). B= (7,-6)
to estimate the true mean speed of vehicles traveling on a particular section of roadway, a speed-detection device is programmed to measure the speed of the first 100 vehicles that pass it. are the conditions for constructing a t confidence interval met? no, the random condition is not met. no, the 10% condition is not met. no, the normal/large sample condition is not met. yes, the conditions for inference are met.
It's difficult to say whether the conditions for constructing a t-confidence interval are met based on the information provided. To construct a t-confidence interval, three conditions must be met:
The sampling method must be random. It's not specified in the problem whether the method of selecting the vehicles was random or not, so it's impossible to say whether this condition is met.
The sample size must be large enough. A sample size of 100 vehicles is considered to be large enough for the normal/large sample condition to be met.
The population must be approximately normally distributed or the sample size must be large. Since the problem does not specify anything about the distribution of the population, it is not clear if this condition is met.
Given that the information provided does not give enough details to state whether the conditions for constructing a t-confidence interval are met or not.
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Erica takes out a loan to purchase a car. She borrows 12,000 at 12% annual percentage rate. Complete the statements. The graph is [Drop Down 1]. Erica's loan is a [Drop Down 2] loan. The equation which models this loan is [Drop Down 3]. If Erica pays off the loan in six years, she will have paid [Drop Down 4].
An increasing exponential function is modeled as follows:
A(t) = A(0)(1 + r)^t.
The parameters of the exponential function are given as follows:
A(0) is the initial value of the exponential function.r is the growth rate of the exponential function, as a decimal.She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:
A(0) = 12,000, r = 0.12.
Then the function that describes her loan is given as follows:
A(t) = 12000(1.12)^t.
After six years, the value of the loan is calculated as follows:
A(6) = 12000(1.12)^6 = $23,686.
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a number is 5. do you know its square
Ill give stars if correct.
8 + (-8) + a = ?
Whats the answer
Answer:
a
Step-by-step explanation:
8+(-8)+a=?
8-8+a=0+a=a
Answer:
0
Step-by-step explanation:
8 + ( - 8 ) + a
= 8 - 8 + a
= 0 + a
= a
a = 0
Solve the literal equation for the given variable
n =4/5(m+7); m
Answer:
\(m = \frac{5n}{4} - 7\)Step-by-step explanation:
\(n = \frac{4}{5} (m + 7)\)First of all multiply both sides by 5
That's
\(5n = 5 \times \frac{4}{5} (m + 7) \\ 5n = 4(m + 7)\)Next divide both sides by 4
That's
\(m + 7 = \frac{5n}{4} \)
Subtract 7 from both sides to make m stand alone
We have
\(m + 7 - 7 = \frac{5n}{4} - 7\)We have the final answer as
\(m = \frac{5n}{4} - 7\)Hope this helps you
please help asap!!!
thank you!!
The length of the ball from the center green using the cosine rule is; 84.4 yards
How to use the cosine rule?In trigonometry, the Cosine Rule is a rule that states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle that is included between them.
This can be expressed as;
c = √(a² + b² - 2ab cos C)
In this question, the length of the length of the ball from the center green is c and as such using the cosine rule, we have;
c = √(110² + 45² - 2(110 * 45)cos 45)
c = √(14125 - 7000.36)
c = 84.4 yards
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Simplify the expression: (3 − 4i) + (7 − 6i). 4 − 2i 4 − 10i 13 − 2i 10 − 10i
Equivalent expressions are expressions of equal values
The simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)
The expression is given as:
\((3 - 4i) + (7 - 6i)\)
Remove brackets in the above expression
\(3 - 4i + 7 - 6i\)
Rewrite the expression by collecting the like terms
\(3 + 7- 4i - 6i\)
Next, evaluate the like terms
\(10- 10i\)
Hence, the simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)
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Which element of a test of a hypothesis is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis? A. Test statistic B. Conclusion C. Rejection region D. Level of significance
The element of a test of a hypothesis that is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis is the test statistic. The test statistic is a numerical value that is calculated from the sample data and is used to compare against a critical value or rejection region to determine if the null hypothesis should be rejected. The level of significance is also important in determining the critical value or rejection region, but it is not the actual element used to make the decision to reject or fail to reject the null hypothesis.
About HypothesisThe hypothesis or basic assumption is a temporary answer to a problem that is still presumptive because it still has to be proven true. The alleged answer is a temporary truth, which will be verified by data collected through research. Statistics is a science that studies how to plan, collect, analyze, then interpret, and finally present data. In short, statistics is the science concerned with data. The term statistics is different from statistics. A numeric value contains only numbers, a sign (leading or trailing), and a single decimal point.
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A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for \pi , and do not round your answer.
Answer:
15825.6 \(in^3\)
Step-by-step explanation:
using 3.14 for pi you follow the formula for volume of a cylinder which is \(\pi r^2 h\) when we plug in it comes to \(3.14\cdot3^{2}\cdot4\) and then you solve that to get 113.04, but since you need 140 candles, we multiply the volume of one candle by 140 to get 15825.6 \(in^3\)
Which of the binomials below is a factor of this trinomial?
+ 12x+32
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4
PLEASE HELP!!
if a/b=1 and a+b=10, then what does ab equal?
Answer:
5 and 5
Step-by-step explanation:
5 divided by 5 is 1
5 plus 5 is 10
Mr. Daniels is organizing a class trip. He wants to spend less than $300. Which inequality represents the cost, c, that Mr. Daniels can spend on the class trip?
c < 300
The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300
How to solve Inequality word problems?
We are told that;
Mr. Daniels is organizing a class trip.
Mr. Daniels wants to spend less than $300
Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.
Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;
c < 300
Thus, we conclude that it is the required inequality.
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What is the slope of the Inear relationship?
-4/3
4/3
-3/4
3/4
Answer: -3/4
Step-by-step explanation:
a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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Find the values of x and z
Answer:
z = 92 degrees
x = 6
Step-by-step explanation:
z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.
The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.
88 = 9x + 34
Solve for x.
x = 6
Answer:
z = 92°x = 6Step-by-step explanation:
For x:
Write and algebraic equation: 92 + (9x + 34) = 180Combine like terms: 126 + 9x = 180Subtract 126 from each side, so it now looks like this: 9x = 54Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6For z:
Because the 92° angle and z make a vertical angle, 92° = z°I hope this helps!
someone help me with this