Answer:check explanation below
Step-by-step explanation:
Okay so for Part A: since B is the midpoint of SM, SM=SB+BM. Therefore, you can set them both equal to each other which would be 4x=98.3. You divide both sides by 4 to get the value of x which is 24.575. Now you substitute 24.575 back into 4x and you get 98.3. Since SM=SB+BM, you do 98.3+98.3 and SM=196.6.
Part B: For part b you do the same thing as A to find the values of x y and x. You already know that x=24.575. For Y, since T is the midpoint of DS you can set ST=TD. This means that 123.4=2/5y. When you solve for y you get y=308.5. Lastly, for z since N is the midpoint of MD, MN=ND. So 102=7/10z. When you solve for z you get approximately 145.7. Now you just add them together -- 24.575+308.5+145.7= 478.775.
Part C: NT is half of SM. Since SM is 196.6, NT is 98.3. TB is half of MD. MD is 203.99 so TB is 101.995. BN is half of SD. SD is 246.8 so BN is 123.4
So, NT+TB-BN is 98.3+101.995-123.4 which equals 76.895
help this will be due nov 7 and I have a lot of it
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
Name a point that is not coplanar with R, S, and T.
The required point is W.
What is the co-plaer and non co-planer?
Co-planar refers to a set of objects that lie in the same plane or lie on the same flat surface. They have the same elevation and do not intersect each other.
Non-coplanar refers to a set of objects that are not in the same plane or do not lie on the same flat surface. They have different elevations and may intersect each other.
W is a point that is not co-planar with R, S, and T.
Consider the provided plane.
We need to find the point that is not co-planar with R, S, and T.
Co-planar: Two object or points are said to be co-planer if they lie in the same plane.
Non co-planar: Two object or points are said to be non co-planer if they don't lie in same plane.
Now consider the provided plane, the point W is not lie in the plane V.
While point R, S and T lie in the plane V.
Hence, the required point is W.
W is a point that is not co-planar with R, S, and T.
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Find the length of the arc of a circle of diameter 6 meters subtended by a central angle of 3π5 radians.
Answer:
8.8metres
Step-by-step explanation:
diameter = 6 m
radius = 3 m
Length of arc = radius x central angle in radians
3 x 2/3= 2 m = 44 / 5 = 8.8
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
=
5 John has had his model building approved, and is
now able to start construction on it. The model is
4 feet, 6 inches tall. If the scale for the actual
building is 1 inch = 64 feet, how tall will his
building be?
A. 256 feet
B. 640 feet
C. 3072 feet
D. 3456 feet
Helppp
Answer:D 3456
Step-by-step explanation:
4ft 6in=54in which 54 multilpied by 64=3456(d)
Answer: A
Step-by-step explanation:
find the volume of the square pyramid. type an integer or decimal. round final answer to nearest tenth as needed.
Answer:
Explanation:
Given:
To find:
The volume of the square pyramid
The volume(V) of a square pyramid can be determined using the below formula;
\(V=a^2\frac{h}{3}\)where a = length of the side of the square base = 4 in
h = height of the pryramid = 7 in
So if we substitute the above values into the formula and solve for V, we'll have;
\(\begin{gathered} V=4^2\frac{7}{3} \\ =16*\frac{7}{3} \\ =37.3\text{ in}^3 \end{gathered}\)So the volume of the square pyramid is 37.3 in^3
Simon and his friends have 27 pieces of candy. They split them up evenly and each person gets 9 pieces. How many people are there? Select the correct equation and solve for p..
Question 6 options:
27 = 9p; p = 3
9 = 27 - p; p = 18
p/27 = 9; p = 3
9 + p = 27; p = 18
Answer:there are 3 people.
Step-by-step explanation: 27/9 = 3 [ third option]
Hunter has a rectangular prism with a volume of 1,155 cubic cm. He measures the length of the prism as 5 1/2 cm and the width of the prism as 10 1/2 cm.
The height of Hunter’s rectangular prism must be
Answer:
John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which fffadasdequation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? vv
Step-by-step explanation:
When posted overseas to country A at age r, the employees of
a large company are subject to a force of mortality such that, at exact duration
†years after arrival overseas (1 = 0, 1,2, 3,4),
The probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country is 2 x 10⁻⁶³
Probability is a mathematical concept that describes the likelihood of a specific event occurring within a set of possible outcomes
Let's start by defining some terms. The force of mortality, also known as the death rate, is the number of deaths per unit time per unit of population.
The probability of survival is the chance that an individual will live past a certain age. In our case, we want to know the probability of surviving from age 30 to age 40 while living in country A.
To calculate the probability of survival, we will use the formula:
\(P(x) = e^{-qx}\)
Where P(x) is the probability of survival at age x and qx is the force of mortality at age x.
First, we will calculate the force of mortality for the first five years after arrival in country A using the equation given in the question:
90x+1 = (6 - 1)9x+1
For x = 30, we have:
90(30) + 1 = (6 - 1)9(30) + 1
2701 = 5 * 891 + 1
2701 = 4445 + 1
2700 = 4445
So, q30 = 4445/30 = 148.5
Next, we will use this value to calculate the probability of survival for the first five years in country A:
\(P30 = e^{-q3} = e^{-148.5} = 1.2 \times 10^{-64}\)
Since the force of mortality for those who have lived in country A for at least five years is 50% greater than the US Life Tables, 2002, Females, we can calculate the force of mortality for the next 10 years as follows:
qx = 1.5 x qx from US Life Tables
Using the values from Table 3.11, we have:
q31 = 1.5 x 98,424 = 147,636
q32 = 1.5 x 98,362 = 147,543
q33 = 1.5 x 98,296 = 147,444
q34 = 1.5 x 98,225 = 147,338
q35 = 1.5 x 98,148 = 147,222
q40 = 1.5 x 97,500 = 146,250
Finally, we can use these values to calculate the probability of survival from age 31 to age 40:
\(P31 = e^{-q31} = e^{-147,636} = 1.3 \times 10^{-65}\\ \\P32 = e^{-q32} = e^{-147,543} = 1.4 \times 10^{-66}\\\\P33 = e^{-q33} = e^{-147,444} = 1.5 \times 10^{-67}\\\\P34 = e^{-q34} = e^{-147,338} = 1.6 \times 10^{-68}\\\\P35 = e^{-q35} = e^{-147,222} = 1.7 \times 10^{-69}\\\\P40 = e^{-q40} = e^{-146,250} = 2.0 \times 10^{-63)}\\\\\)
Complete Question:
When posted overseas to country A at age x, the employees of a large company are subject to a force of mortality such that, at exact duration t years after arrival overseas (t = 0,1,2,3,4), 90x+1 = (6 - 1)9x+1 where qx+t is on the basis of US Life Tables, 2002, Females. For those who have lived in country A for at least five years the force of mortality at each age is 50% greater than that of US Life Tables, 2002, Females, at the same age. Some lx values for this table are shown in Table 3.11.
An extract from the United States Life Tables, 2002,
Females. Age,
x 30 31 32 33 34 35 40
1x 98,424 98,362 98,296 98,225 98,148 98,064 97,500
Calculate the probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country.
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
What fraction with a numerator of 2 is equivalent to 48?
Answer:
\(\frac{2}{\frac{1}{24} }\)
Step-by-step explanation:
2/x = 48
48x = 2
x = (2)/ (1/24)
\(\frac{2}{\frac{1}{24} }\) = 48
3 coins are tossed what is the probability of getting 3 heads show your work
Answer:
0.125
Step-by-step explanation:
- the required probability of one coin is 0.5;
- it is given 3 coins;
- the required probability of three coins is (logical 'and'):
0.5^³=0.125 or 0.5*0.5*0.5=0.125
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y ≤ x2 – 3
y > –x2 + 2
The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Inequality is an expression that shows the non equal comparison of two or more numbers and variables
The solution set of the inequalities y ≤ x² – 3 and y > –x² + 2 is the darker region shown in the graph.
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The graphs of f(x) and g(x) are transformed function from the function y = x^2 and the solution of the set of inequalities is (±1.581, -0.5)
How to modify the graphsThe complete question is in the attached image (the first graph)
From the graph, we have:
f(x) = x^2 - 3 and g(x) = -x^2 + 2
To derive y ≤ x^2 - 3, we simply change the equality sign in the function f(x) to less than or equal to.
To derive y > -x^2 + 2, we simply change the equality sign in the function g(x) to greater than
How to identify the solution setThe inequalities of the graphs become
y ≤ x^2 - 3 and y > -x^2 + 2
From the graph of the above inequalities (see attachment 2), we can see that the curves of the inequalities intersect at (±1.581, -0.5)
Hence, the solution of the set of inequalities is (±1.581, -0.5)
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A study of traffic violations on a busy highway finds that the number of tickets for speeding written by officers tends to decrease on rainy days. A police sergeant explains that driver behavior could be a confounding variable.
Which statement best explains the confounding variable in this study?
On sunny days, more tickets for speeding are written than on rainy days.
Officers are less likely to want to leave their police cars to write tickets on rainy days.
Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases.
Drivers are more likely to speed on rainy days to get to their destination faster.
Answer:
c
Step-by-step explanation:
The statement which explains the given options will be Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases. Hence, option C is correct.
What are traffic rules?According to the Traffic Ordinance, disobeying a rule or following a piece of advice inside the Road Users' Code is not in and of itself an offense, but any such rejection may be looked into in any deliberations (as to if civil or criminal, including litigation for an offense underneath the Road Traffic Ordinance), and may also be relied upon for establishing or negating any liability.
However, it should be emphasized that several of the guidelines in the Car Drivers' Code exactly mirror the law, and anyone who violates these guidelines may be breaking the law.
It means that on rainy days, divers drive very carefully as compared to other days.
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Evaluate 9 - 3 * 2 + 4.
Answer:
7
Step-by-step explanation:
9 - 3 * 2 + 4
9-6+4
3+4
7
Answer:
7 is the answer
Step-by-step explanation:
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Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
need help fast, here is screenshot.
Answer:
37y +3?
Step-by-step explanation:
L×B=Area
(7y+1)(2y+3)
According to the given figure ,
Length of rectangle = 7y+1Breadth of the rectangle = 2y+3Formula to find the area of a rectangle is given by -
\( \:\:\:\:\:\:\star\small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length \times Breadth }}}}\\\)
On substituting the values-
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)}= \bigg(7y+1\bigg)\times \bigg(2y+3\bigg)}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = \bigg ( 14y^2+21y+2y+3\bigg)}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = 14y^2+23y +3}\\\)
\( \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{Area_{(rectangle)}=\underline{14y^2+23y +3}}}}}\\\)
\( \\ \therefore \underline{ \cal{ \pmb{Correct \:option \: is \: \frak{\purple{ C)\:\underline{14y^2+23y +3 }}. }}}}\\\)
En una ciudad de 5000 habitantes, la tasa diaria
de infección con un virus de la gripe varia directamente con el producto de
personas infectadas y el número de personas no infectadas. Cuando se han
infectado 1000 personas, la gripe se esparce a razón de 40 nuevos casos por día.
¿Para qué número de personas infectadas, la tasa diaria de infección es la
máxima?
According to the information, the maximum infection rate is: k * 2500 * (5000 - 2500) = 6250k = 40
How to calculate for what number of infected people, the daily infection rate is the maximum?To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:
infection rate = k * (infected people) * (uninfected people)where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:
infection rate = k * x * (5000 - x)To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:
d(infection rate)/dx = k * (5000 - 2x) = 0This implies that 5000 - 2x = 0, and therefore:
x = 2500Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.
However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:
infection rate = k * 2500 * (5000 - 2500) = 6250kIf the infection rate is 40 new cases per day, we have:
40 = 6250kwhich implies that:
k = 0.0064Therefore, the maximum infection rate is:
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Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
3. Colin is painting his basement floor. The dimensions are shown on the diagram below:
If one can of paint will cover 3.5 m², and each can costs $15.25, what is the total cost including 13% HST.
2.3 m
2.5 m
32m
1.8 m
The total cost of painting his basement floor is $51.70.
How to calculate total cost ?To find the total cost of the paint including HST, we first need to calculate the total area of the basement floor that needs to be painted. We can do this by multiplying the length by the width:
Area of basement floor = length x width
Area of basement floor = 2.5 m x 2.3 m + 1.8 m x 2.3 m
Area of basement floor = 5.75 m² + 4.14 m²
Area of basement floor = 9.89 m²
Now, we can calculate the number of cans of paint needed:
Number of cans = Area of basement floor / Area covered by each can
Number of cans = 9.89 m² / 3.5 m²
Number of cans = 2.8257
Number of cans = 3
The total cost of the paint without HST would be:
Total cost = Number of cans x Cost per can
Total cost = 3 x $15.25
Total cost = $45.75
To calculate the HST, we need to multiply the total cost by the HST rate (13% or 0.13):
HST = Total cost x HST rate
HST = $45.75 x 0.13
HST = $5.95 (rounded to two decimal places)
Finally, we can find the total cost including HST by adding the total cost and the HST:
Total cost including HST = Total cost + HST
Total cost including HST = $45.75 + $5.95
Total cost including HST = $51.70
Therefore, the total cost of the paint including 13% HST is $51.70.
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the sum of 5 times a number and 23
Answer:
5n+23
Step-by-step explanation:
five times a number is 5n and 23 is +3
Pls tell me I really need help
Answer:
The answer is C or 44/12
Step-by-step explanation:
1/2 is equivalent to 3/6
1 4/6 is equivalent to 1 4/6 or 10/6
1 2/4 is equivalent to 1 3/6 or 9/6
When you add all of these together you get 22/6
Then you multiply 22/6 by 2 to get 44/12
Why is the value of g more in terai than in the mountain?
Answer:
\( \tt{ \green{A} \orange{n} \red{s} \blue{w}e \pink{r} \purple{} \green{} \red{ } \red{} \blue{} \pink{} \purple{} \green{} \orange{} \purple{} }\)
\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)
The value of acceleration due to gravity is greater in terai than in mountain. In terai region the radius of earth is less as it lies close to the centre of the earth. Thus, the value of g is more in terai region.
\(\purple {\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \)
Step-by-step explanation:
\( \pink{\boxed{{\colorbox{white}{- MsTiyana}}}}\)
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Which of the following cells can generate ATP through glycolysis?
A.
Eukaryotic Cells (Plants and Animals)
B.
Prokaryotic Cells (Bacteria)
C.
None of the above
D.
All of the above
PLEASE HELIP ITS DUE TODAY
Answer:
x = 6
Step-by-step explanation:
As stated, the scale factor from two figures is 1/4
To find the value of x we can simply use the following equation
\( \frac{(1.5)}{x} = \frac{1}{4} \)
cross multiply expressions
x = 6