Answer:
a = 3
Step-by-step explanation:
Collect like-terms:
\( - 16 = a - 19\)
\(a = - 16 + 19\)
\(a = 3\)
Answer: 3
Step-by-step explanation: you take 19 from 3 giving you -16
he trans pacific express projects 11,000 mile in telecommunications cable under the pacific ocean connecting the US eastern asia. the cost of the project was about $500 million. write and solve an equation to find the cost per mile to the nearest dollar
Answer:
you need to make it an actual problem
Answer:
500 million / 11,000 = 45,454.5455
Step-by-step explanation:
HELP ON NUMBER 2 PLEASE
c
step by step explanation
hope this helps
Answer:
its C
Step-by-step explanation:
if u need some explanation just ask
EspanolAvicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these policiesdies before the age of 70, the company must pay out $27,400 to the beneficiary of the policy. Executives at Avicenna areconsidering offering these policies for $765 each. Suppose that for each holder of a policy there is a 3% chance that they will diebefore the age of 70 and a 97% chance they will live to the age of 70.00If the executives at Avicenna know that they will sell many of these policies, should they expectto make or lose money from offering them? How much?To answer, take into account the price of the policy and the expected value of the amount paldout to the beneficiary.Avicenna can expect to make money from offering these policies.In the long run, they should expect to make dollars on each policy sold.Avicenna can expect to lose money from offering these policies,
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.
Explanation:
If a person lives to the age of 70, they will earn $765. So, there is a 97% chance to earn $765. On the other hand, if a person dies before age of 70, they will lose $26635 because
$27,400 - $765 = 26,635
Then, there is a 3% chance to lose $26635.
Now, we can find the expected value, multiplyion each option by its probability, so:
E = $765(0.97) - (26635)(0.03)
E = $742.05 - $799.05
E = - $57
Since the sign is negative they can expect to lose money, so the answer is:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.
Use the following information to determine your answer: The length of a movie falls on a normal distribution. About 95% of movies fall between 75 minutes and 163 minutes.
What is the value of the standard deviation for average movie length in minutes? Please round to the second decimal place.
Answer:
\( 75= 119 -1.96 \sigma\)
\( \sigma = \frac{75-119}{-1.96}= 22.45\)
And tha's equivalent to use this formula:
\( 163= 119 +1.96 \sigma\)
\( \sigma = \frac{163-119}{1.96}= 22.45\)
Step-by-step explanation:
For this case the 95%of the values are between the following two values:
(75 , 163)
And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:
\( X \sim N( \mu, \sigma)\)
We can estimate the true mean with the following formula:
\(\mu = \frac{75+163}{2}= 119\)
Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:
\( 75= 119 -1.96 \sigma\)
\( \sigma = \frac{75-119}{-1.96}= 22.45\)
And tha's equivalent to use this formula:
\( 163= 119 +1.96 \sigma\)
\( \sigma = \frac{163-119}{1.96}= 22.45\)
How many 5-digit numbers can be formed if each one uses all the digits 0,1,2,3,4
without repetition?
Answer:
{0, 1, 2, 3, 4} --> 96 5-digit numbers possible with this set.
Step-by-step explanation:
i dunno, i kinda just searched it up
link: https://gmatclub.com/forum/how-many-five-digit-numbers-can-be-formed-using-digits-91597.html#:~:text=If%200%20is%20included%3A,numbers%20possible%20with%20this%20set.
Answer:
120
Step-by-step explanation:
using the equation 5P5, you find that the total number of ways these 5 digits can be arranged to form 5 digit numbers if each is only used ONCE.
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
The absolute value function that matches the graph is given as follows:
y = -|x + 1| + 1.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex in this problem are given as follows:
(-1, 1).
Hence:
y = a|x + 1| + 1.
The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:
a = -1.
Thus the function is:
y = -|x + 1| + 1.
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What is the expression -7(3z + 5t - 3g) in simplest form?
Answer:
-3z-5t+3g
Step-by-step explanation:
-7(3z+5t-3g)
= -7×3z +( -7×5t)( -7×-3g)
= -21z-35t+21g
divide all elements by 7
= -21÷7 -35÷7+21÷7
= -3z-5t+3g
At the West Street Bakery, 16
1
6
of the dessert case holds pies. There are 4 equal size shelves.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Leon is at the lake with his friends. It costs $8.50 to rent a paddleboat for a
1/2
-hour ride. Together, Leon and his friends have $25.50. How long can they ride in a paddleboat if they spend all of their money?
Help please and thank you.
PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm
Answer:
135cm^3
Step-by-step explanation:
Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.
9514 1404 393
Answer:
5
Step-by-step explanation:
Fill in the given values and do the arithmetic.
\(\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}\)
Answer:
5Step-by-step explanation:
We know that:
Given expression: \(\frac{12z - 3y}{4x - z}\)x = 3y = 1/3z = 5Solution:
\(\frac{12z - 3y}{4x - z}\)=> \(\frac{12z - 3y}{4x - z}\)=> \(\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}\)=> \(\frac{36 - 1 }{12 - 5}\)=> \(\frac{35}{7} = 5\)Hence, 5 is the answer.
I need help finding the Component form and Magnitude of the vector V.
To find the magnitude of the vector, we can use the Pythagorean theorem: ||V|| = sqrt((5 * √2 / 2)^2 + (5 * √2 / 2)^2) = 5.
To find the component form of a vector, you need to break it down into its x and y components. Let's say our vector V has a magnitude of 5 and is pointing in the direction of 45 degrees (measured from the positive x-axis).
To find its x component, we can use cosine: Vx = V cos(45) = 5 * √2 / 2. To find its y component, we can use sine: Vy = V sin(45) = 5 * √2 / 2. So the component form of vector V is (5 * √2 / 2, 5 * √2 / 2).
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The smallest animal that lives on land is the pygmy shrew. This animal weighs about 5 * 10-2 ounce. Which number shows another way to express 5 x 10-2?
Answer:
0.05 or 5/100
Explanation:
Given the expression 5 * 10^-2, we are to rewrite the expression.
This expression can be written either as a decimal or fraction:
As a decimal:
5 * 10^-2 = 5 * 1/10^2
5 * 10^-2 = 5 * 1/100
5 * 10^-2 = 5 * 0.01
5 * 10^-2 = = 0.05
As a fraction:
5 * 10^-2 = 5 * 1/10^2
5 * 10^-2 = = 5 * 1/100
5 * 10^-2 = = 5/100
Hence the expression can be written as 0.05 or 5/100
Two angles that are supplementary and congruent are straight angles.
True or False
Answer:
It's true...
Step-by-step explanation:
hope it helps...m
Find the distance between A (3,2) and B (5,2)
Answer:
d=2
Step-by-step explanation:
\( \sqrt{(5 - 3) {}^{2} + (2 - 2) {}^{2} } \\ \sqrt{(2) {}^{2} + (0) {}^{2} } \\ \sqrt{4 + 0} \\ \sqrt{4} \\ = 2\)
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
consider the set of students enrolled in a college and the set of faculty members at that college. suppose we define a one to one correspondence between the two sets by saying that a student corresponds to a faculty member if the student is currently enrolled in a course taught by that faculty member. is this correspondence a function? briefly discuss. a simple yes or no needs reasoning so please answer thoughtfully.
We state that a student correlates to a faculty member if somehow the student gets currently enrolled in some kind of a course taught by such faculty member in order to define a one to one relationship between the two sets. The correspondence a function.
Define the term one-to-one relation in function?The symbol for an ordered pair is (INPUT, OUTPUT): The relation denotes the connection between the input and output.
A function, on the other hand, is a relation that yields one Outcome for each input Data.A is a relationship that states that there should only be one outputs for each input. Alternatively, we could say that a function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.A function f: A → B is one-to-one if there is only one instance of a ∈ A with f(a) = b for each instance of b B. It is onto if it has least one a A with f(a) = b for each b B. If it is simultaneously one-to-one and onto, it is a one-to-one correlation or bijection.For the stated question-
We state that a student correlates to a faculty member if somehow the student gets currently enrolled in some kind of a course taught by such faculty member in order to define a one to one relationship between the two sets.
One student is related to one facility.
Thus, correspondence given forms a function.
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Help find mean median and mode for 3 and 5
Given statement solution is :- "3 and 5 - 1," the mean is 3.5, the median is 5, and there is no mode.
To find the mean, median, and mode for the given numbers, let's start by organizing the numbers in ascending order:
For "3 and 5":
Ascending order: 3, 5
Mean:
To find the mean, we sum up all the numbers and divide the total by the count of numbers.
Mean = (3 + 5) / 2 = 8 / 2 = 4
Median:
The median is the middle value in a set of numbers when they are arranged in ascending order. Since we have two numbers, the median is the average of the two middle numbers.
Median = (3 + 5) / 2 = 8 / 2 = 4
Mode:
The mode is the value that appears most frequently in a set of numbers.
In this case, there is no repeating value, so there is no mode.
For "3 and 5 - 1":
Ascending order: 2, 5
Mean:
Mean = (2 + 5) / 2 = 7 / 2 = 3.5
Median:
Median = 5 (since we have two numbers, the median is the average of the two middle numbers, which is 5 in this case)
Mode:
Again, there is no repeating value, so there is no mode.
Therefore, for "3 and 5," the mean and median are both 4, and there is no mode.
For "3 and 5 - 1," the mean is 3.5, the median is 5, and there is no mode.
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
co
5
H
The mapping diagram above|
Set B
✓in
-2
3
O
7
શ function since
where there
Answer:
It is not a function
Step-by-step explanation:
A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.
Here, element "1" has two images 3 and 7. Therefore it's not a function.
The rate constant for first-order degradation of a N2O2 in a solution (1.0 mg/ml) at 40°C
is 0.00351 hr-1, activation energy is 2000 cal/mol, and R = 1.987 cal/mol/degree.
Calculate
a. The rate constant for first-order degradation of N2O2 at room temperature (25°C).
The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;
a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹
What is a first-order reaction?A first order reaction is one that has a rate that varies linearly with the concentration of one reactant
The given parameters are;
Temperature of the solution = 40°C
T₁ = 40 °C + 273.15 = 313.15 K
The rate constant, K₁ = 0.00351 hr⁻¹
Concentration of the solution = 1.0 mg/ml
Activation energy, Eₐ = 2000 Cal/mol
R = 1.987 cal/mol/degree
The formula by which the rate constant can be found is presented as follows;
\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)
a. Room temperature = 25 °C
T₂ = 25 °C + 273.15 = 298.15 K
Therefore;
\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)
\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)
The rate constant for first-order degradation of N₂O₂ at room temperature is k₂ ≈ 4.12595 × 10⁻² hr⁻¹Learn more about the rate constant for first-order degradation here:
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What is the circumference of the circle
below?
52 yd
A 254.18 yd
B 387 yd
C 199.3 yd
D 163.28 yd
Answer:
D) 163.28 yd
Step-by-step explanation:
to get the circumference, the equation is 2(π * radius)
52 is the diameter, and half of a diameter is the radius.
so the radius of your circle is 26.
now put that into the equation and you get 2(26π), or 52π
pi is infinite, but you can actually get away with multiplying 52 by 3.14, which gives you the approximate answer.
52 * 3.14 = 163.28
so your answer is D) 163.28 yd
What are the approximate coordinates in the rectangular plane that represent the polar coordinates (4, 110 degrees).? Round values to the nearest thousandth.
A.(3.759, –1.368)
B.(–3.996, –0.177)
C.(–1.368, 3.759)
D.(–0.342, 0.940)
Please help me :)
Thank you :)
Answer:
90 degrees :)
Step-by-step explanation:
x and 90 are supplementary.
x + 90 = 180
x = 90
Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
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What is 3(x-9) equivalent to
A 3(x)+9.
B 3(x)+3(9).
C 3(x) – 9.
D 3(x) – 3(9).
answerrr
D is the answer of your question
helllllllllllllllllllllllllllllllllllllllllllp with this hhhhhhhhhhhhhhhelllllllllllllllllllllllllllllllllllll
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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G is the centroid of triangle ABC.
What is the value of x?
22
What is the length of segment DG?
units
What is the length of segment AG?
units
What is the length of segment AD?
unit
Applying the centroid ratio theorem, we have:
x = 37
DG = 22
AG = 44
AD = 66.
What is the Centroid Ratio Theorem?According to the centroid ratio theorem, we have:
AG = 2/3(AD)
AG = x + 7
DG = x - 15
AD = x + 7 + x - 15 = 2x - 8
Plug in the values into the equation
x + 7 = 2/3(2x - 8)
3(x + 7) = 2(2x - 8)
3x + 21 = 4x - 16
3x - 4x = -21 - 16
-x = -37
x = 37
DG = x - 15 = 37 - 15 = 22
AG = x + 7 = 37 + 7 = 44
AD = 22 + 44 = 66
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Answer:
The value of x is 37
The length of segment DG is 22 units
The length of segment AG is 44 units
The length of segment AD is 66 units