Answer:
x + 155 = 180
Step-by-step explanation:
Those angles are supplementary meaning that the sum of them equal 180
2+153=153
so x+155=180 is your answer
The weight distribution of a vehicle specifies that the front wheels carry 57% of the weight. If a certain vehicle weighs 3530lb, what weight is carried by the front wheels?
The weight carried by the front wheels is 2012.1 pounds.
The problem gives us two pieces of information:
The weight distribution of the vehicle specifies that the front wheels carry 57% of the weight.
The total weight of the vehicle is 3530lb.
To solve for the weight carried by the front wheels, we need to use this information and apply the following formula:
Weight on front wheels = Percentage of weight on front wheels x Total weight of vehicle
In this case, we know that the percentage of weight on the front wheels is 57%, so we can substitute that value in the formula:
Weight on front wheels = 0.57 x 3530 lb
When we multiply these values, we get:
Weight on front wheels = 2012.1 lb
Therefore, we can conclude that the weight carried by the front wheels is 2012.1 pounds.
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In the xy-plane, the graph of y = x (x² - 2) (x² + x + 1) intersects the x-axis in how many different points? (A) One (B) Two (C) Three (D) Four (E) Five
The graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points.
The answer is (C) Three.To determine the number of points where the graph of the equation y = x(x² - 2)(x² + x + 1) intersects the x-axis, we need to find the x-values that make the equation equal to zero.
Setting y = 0, we have:
0 = x(x² - 2)(x² + x + 1)
Since the product of three factors is zero, at least one of the factors must be zero.
1. Setting x = 0:
0 = 0(x² - 2)(x² + x + 1)
This gives us one solution: x = 0.
2. Setting x² - 2 = 0:
x² = 2
Taking the square root of both sides:
x = ±√2
This gives us two additional solutions: x = √2 and x = -√2.
3. Setting x² + x + 1 = 0:
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula:
x = (-1 ± √(1² - 4(1)(1))) / (2(1))
Simplifying:
x = (-1 ± √(-3)) / 2
Since the discriminant is negative, there are no real solutions for this quadratic equation.
In summary, we have found three different x-values where the equation intersects the x-axis: x = 0, x = √2, and x = -√2.
Therefore, the graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points. The answer is (C) Three.
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please help me please will give brainliest to
Answer:
The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. polynomials with real coefficients are included in this since every real number is a complex number with its imaginary part equal to zero.
Can I please get brainliest?
Answer:
It is non-constant variable polynomial with in depth coefficients and an in depth root.
Step-by-step explanation:
(7+ 24 -8)-2 + (4 x 5)
Answer: 41
Solve
\(31-8-2+(4)(5)\\23-2+(4)(5)\\21+(4)(5)\\21+20\\=41\)
a = 17.6 cm, b = 9.5 cm and c = 13.6 cm for the triangle shown below.
Answer: Click on this: a=13.6cm,b=9.5cm and c=2.6cm for the triangle show it has a step by step way
Step-by-step explanation:
Find the cost function if the marginal cost function is given by C′(x)=x3/4+3 and 16 units cost $124. C(x)=
The cost function is given by C(x) = x^(7/4)/7 + 3x + C, where C is a constant.
To find the cost function C(x), we integrate the marginal cost function C'(x). The integral of x^(3/4) is (4/7)x^(7/4), and the integral of 3 is 3x. Integrating constant results in Cx, where C is the constant of integration.
Therefore, the cost function is C(x) = (4/7)x^(7/4) + 3x + C, where C is the constant of integration. We need to determine the value of C using the given information.
Given that 16 units cost $124, we can substitute x = 16 and C(x) = 124 into the cost function:
124 = (4/7)(16)^(7/4) + 3(16) + C.
Simplifying this equation will allow us to solve for C:
124 = (4/7)(2^4)^(7/4) + 48 + C,
124 = (4/7)(2^7) + 48 + C,
124 = (4/7)(128) + 48 + C,
124 = 256/7 + 48 + C,
124 = 36.5714 + 48 + C,
C = 124 - 84.5714,
C ≈ 39.4286.
Substituting this value of C back into the cost function, we obtain the final expression:
C(x) = (4/7)x^(7/4) + 3x + 39.4286.
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Determine whether each conclusion is based on inductive or deductive reasoning. 10. At Fumio's school if you are late five times, you will receive a detention. Fumio has been late to school five times; therefore he will receive a detention.
The conclusion in this case is based on deductive reasoning.
Deductive reasoning uses general principles or rules to draw specific conclusions. In this scenario, the general principle is that if someone is late five times, they will receive detention at Fumio's school. Based on this principle, it can be deduced that if Fumio has been late to school five times, he will receive a detention.
Inductive reasoning, on the other hand, involves making generalizations or predictions based on specific observations or patterns. It involves reasoning from specific instances to a general conclusion. In this case, the conclusion is not based on generalizing from specific instances but rather applying a specific rule or principle to a specific situation, which is characteristic of deductive reasoning.
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A student is investigating unbalanced and balanced forces acting on a moving object. What information is needed to know if a force acting on a moving object will cause a change in the motion of the object?
a
the push and pull of the force
b
the direction and source of the force
c
the magnitude and direction of the force
d
the magnitude and source of the force
Answer:
I think it is C maybe I'm wrong correct me in the comments. SRY
Step-by-step explanation:
Force is simply the pull or push of an object.
The information needed by the student is the direction and the source of the force
First, we look at what balanced and unbalanced forces mean
Unbalanced forces simply mean that different magnitudes of forces act on an object.
Take for instance,
Assume forces of 2 newtons and 3 newtons act in different directions, on a ball.
Such forces are unbalanced forces
Balanced forces mean that the same magnitude of forces act on the object in opposite directions.
Take for instance,
Assume forces of 2 newtons and 2 newtons act in opposite directions, on a ball.
Such forces are balanced forces, because they are equal, and they act in opposite direction.
Having explained what both forces are:
The student must determine where the force is coming from.
The text "where the force is coming from" means that, the student must determine the direction of the force (i.e. right, left, up, down or whatever direction) and the source of the force
Hence, option (b) is correct.
See attachment for illustrations of both forces
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A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?
a. 534
b. 1335
c. 691
d. 1696
Answer:
B. 1335
Step-by-step explanation:
The formula for the volume of a cylinder is V = base x height = pi x r^2 (area of circle) x height.
r (radius) = 1/2 diameter = 1/2(10ft) = 5 ft
height = 17ft
area of the base = pi x (5 feet)^2 = (25 x pi) ft^2
putting all together, V = (25 x pi)ft^2 x 17 feet = 1335.177 ft^3
But if you don't have a calculator, just remember that pi is around 3.14. Using 3.14 as pi gives 1334.5, so also close enough.
3. The slope of a line shows the___
for that line. This means it tells us how far ____ the line moves each time you move over one unit on the x-axis.
for that line.
The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.
What is the slope of a line?The slope of a line can be defined a number that describes the direction and steepness of the line.
It is also known as gradient
It is denoted by the letter 'm'
Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.
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Find the lowest common denominator of 4/7 and 3/5
Which of these is equivalent to 2.75?
A. 2 3/4
B. 2 2/5
C. 2 1/5
D. 2 3/25
Answer:
2 3/4
Step-by-step explanation:
2=2
.75= 3/4
Example 75 cents is equal to 3 quarters
\(2 \frac{3}{4} \)
Because 2.75 =
\( \frac{11}{4} \)
And
\( \frac{11}{4} = 2 \frac{3}{4} \)
Which is equivalent equation solved for h?
Answer:
The answer is option A.
p = 0.7(rh + b)
Making h the subject
divide both sides by 0.7
we get
p/0.7 = rh + b
send b to the left side of the equation
p / 0.7 - b = rh
divide both sides by r
we get
( p / 0.7 - b) ÷ r = h
therefore h = ( p / 0.7 - b ) ÷ r
Hope this helps
A newsletter publisher believes that more than 37% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?
Answer:
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
Step-by-step explanation:
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
They don't deserve You
Raise 1.00203333 to the negative 360 power
Answer:0.4813042802
Step-by-step explanation:
How many triangles can be formed with segments measuring 34 cm, 13 cm, and 38 cm? Select from the drop-down menu to correctly complete the statement. Choose. Can be formed from these segments.
The triangle inequality theorem is not followed, no triangle can be formed.
Triangles
In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.
The triangle inequality theorem describes the relationship between the three sides of a triangle.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 34 cm, 13 cm, and 38 cm.
34cm + 13 cm = 47 cm > 38cm (theorem followed)
34 cm + 38 cm = 72 cm > 13 cm (theorem followed)
13 cm + 38 cm = 51 cm < 34 cm (theorem not followed)
Since the triangle inequality theorem is not followed,
Hence, no triangle can be formed.
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Answer: None
Step-by-step explanation:
The function f(x) is shown on the graph.
On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).
What is f(0)?
0 only
–6 only
–2, –1, 1, and 3 only
–6, –2, –1, 1, and 3 only
By using the description of the graph, we conclude that f(0) = -6 only.
The correct option is the second one.
What is f(0)?
Here we want to know the value of the function when evaluated in 0. Remember that the points on the graph of the function are of the form:
(x, f(x)).
Now, in the description of the graph you say:
"... and the y-axis at (0, negative 6)."
So we know that the graph passes through (0, -6), which means that when evaluated in 0, the function is equal to -6.
So the correct option is the second one: –6 only
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Answer:
Step-by-step explanation:
plz help me solving me math questions
Find the box-and-visker plot representing the given data:44, 38, 21, 37, 48, 43, 28
Given:
44, 38, 21, 37, 48, 43, 28
To find the box-and-Visker plot representing the given data:
Let us write it in ascending order.
21, 28, 37, 38, 43, 44, 48.
The median of the given data is 38.
The median of the first three terms is 28.
The median of the last three terms is 44.
The lowest of the given data is 21.
The highest of the given data is 48.
Hence, the correct option c.
Suppose a colony of bacteria grows exponentially with a growth rate constant of 0. 25. If the colony contains 6,000 cells now, approximately how many did it contain 4 hours ago?
Approximately 4 hours ago, the colony contained 16,308 bacteria cells.
To determine the approximate number of bacteria cells in the colony 4 hours ago, we need to use the exponential growth formula.
The exponential growth formula is given by:
N(t) = N₀ * e^(k*t)
Where:
N(t) represents the number of bacteria cells at time t,
N₀ represents the initial number of bacteria cells,
k represents the growth rate constant,
t represents the time elapsed.
In this case, we know that the colony contains 6,000 cells now. Let's assume that 4 hours ago is our initial time (t = 0). So, N₀ = 6,000. The growth rate constant is given as 0.25 (k = 0.25). We want to find the number of bacteria cells 4 hours ago.
Plugging these values into the exponential growth formula:
N(t) = 6,000 * e^(0.25 * 4)
Simplifying the exponential expression:
N(t) = 6,000 * e^(1)
Since e^(1) is approximately 2.718 (the value of the natural logarithm base e), we can calculate: N(t) ≈ 6,000 * 2.718
N(t) ≈ 16,308
Therefore, approximately 4 hours ago, the colony contained 16,308 bacteria cells.
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A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.00
Answer:
112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48
Step-by-step explanation:
(a) Attendance at the Accra Sports Stadium was alysed by the General Secretary, Prosper Harrison Addo. The analysis demonstrated that spectators consisted of 70% males. If seven people are randomly selected from the spectators during a football match, What is the probability that 4 of them are males? (3 marks) i 11. Find the probability that at most 5 of them are females (4 marks)
a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.
b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.
a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
- n is the total number of trials (number of people selected)
- k is the number of successful trials (number of males selected)
- p is the probability of success in a single trial (probability of selecting a male)
- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:
P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)
b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.
P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).
Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.
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I NEED HELP ASAP!!!!! Please
A train travels from city A to city B and then to city C. The distance from A to B is 60 miles and the distance from B to C is 165 miles. The average speed from A to B was 60 miles per hour, and the average speed from B to C was 55 mph. What was the average speed from A to C (that is for the entire trip) in miles per hour?
The average speed was ??? miles per hour.
The average speed from city A to city C (for the entire trip) can be calculated by taking the total distance traveled and dividing it by the total time taken. In this case, the total distance is the sum of the distances from A to B and from B to C, which is 60 miles + 165 miles = 225 miles.
To find the total time, we need to calculate the time taken for each leg of the trip. The time taken from A to B is 60 miles / 60 mph = 1 hour, and the time taken from B to C is 165 miles / 55 mph = 3 hours.
Therefore, the total time taken for the entire trip is 1 hour + 3 hours = 4 hours.
Finally, we can calculate the average speed by dividing the total distance (225 miles) by the total time (4 hours):
Average speed = 225 miles / 4 hours = 56.25 miles per hour.
Thus, the average speed from city A to city C (for the entire trip) is 56.25 miles per hour.
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What is the slope of the line that passes through the points (-3, 3) and (-3, 13) ? Write your answer in simplest form
Answer: The entered points belong to a vertical line. There is no slope.
Equation: x = -3.
This is what i think..
The slope is the ratio of the rise to the run of a line. It is also called the rate of change or gradient. Therefore, the slope of the line is 0
Slope = Rise / Run
Rise = y2 - y1 = (13 - 3) = 10
Run = x2 - x1 = (-3 - (-3)) = (-3 + 3) = 0
Slope = Rise / Run = 10 / 0 = 0
Therefore, the slope of the line is 0
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solve the proportion 7/2 = x+1/6
The value of x from the given proportion is 20.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The given proportion is 7/2 = (x+1)/6
Now, 7×6=2(x+1)
42=2x+2
2x=40
x=20
Therefore, the value of x is 20.
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A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s final grade is found by taking of the student’s three regular exam scores and then adding 40% of the student’s final exam score. Sophia earned scores of 78, 92, and 80 on the three regular exams and a score of 90 on the final exam. What is Sophia’s final grade?
Solve -6n-2n=16
Show work
Answer:
n = -2
Step-by-step explanation:
-6n - 2n = 16
-8n = 16
divide both sides by -8
n = -2
Hope this helps!!
Happy Holidays!!
Answer:
n= -2
Step-by-step explanation:
-6n - 2n = 16
Add like terms:
-8n = 16
Divide both sides by -8 to isolate n
n = -2
Check:
-6(-2) - 2(-2) = 16
12 - (-4) = 16
12 + 4 = 16
16 = 16
I hope this helped :)
PLEASE HELP!!!! I provided photos of the problems ! FAST I HAVE SOMEWHERE TO BE IN 2 HOURS AND I NEED IT DONE PLEASE
Answer:
Step-by-step explanation:
f(x) = x³
g(x) = √(x)
h(x) = x / 3
g (h (f (9))) - ?
f(9) = 9³ = 3⁶
h(9³) = 3⁶ / 3 = 3⁵
g(3⁵) = √(3⁵) = √ (3⁴·3) = 3²·√(3) = 9·√(3)
g (h (f (9))) = 9·√(3)
____________________
g(h(f(x))) - ?
f(x) = x³
h(x³) =x³/3
g (x³/3) = √ (x³/3) = √ (x²·x/3) = x·√ (x/3)
suppose a research report states that the result of a between subjects one-way anova is f (3, 32) = 3.47 should the researcher reject the null hypothesis if using alpha = .05
Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.
In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.
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