Answer:
the answers will be :
since 650 gallons fill in 1 hr 1gallon = 1/650 h so, 3185gal = 1/650 * 3185 = 4.9 h
Can someone help me find the area of this ? If you can thank you so much , it's been awhile since I've done it
Answer:
185
Step-by-step explanation:
Hope this helps
Tristen is making cookies and cream ice cream to sell at the school fair. He making 80 gallons of ice cream. He wants to make sure there is a full cookie in every 1/4 cup of ice cream. If there are 16 cups in a gallon, how many cookies will trustees need to make the ice cream? I need help asap
Answer:
5120 cookiesStep-by-step explanation:
Find the number of cups in 80 gallons:
80*16 = 1280 cupsNow multiply the number of cups by 4 since each cup of ice cream is equivalent of 4 cookies:
1280*4 = 5120The magnitude of vector
A
is 7.5 m. It points in a direction which makes an angle of 145
∘
measured counterclockwise from the positive x-axis. (a) What is the x component of the vector −2.5
A
? m (b) What is the y component of the vector −2.5
A
? m (c) What is the magnitude of the vector −2.5
A
? m following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. (a)
A
+
B
magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (b)
A
−
B
magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (c)
B
−
A
magnitude unit(s) direction - (counterclockwise from the +x-axis)
(a) -2.5A has an x-component of 13.225 m and a y-component of -10.857 m. (b) For A + B, the magnitude is approximately 18.098 m, and the direction is approximately 14.198° counterclockwise from the +x-axis. (c) For A - B and B - A, both have a magnitude of approximately 28.506 m, and the direction is approximately -8.080° counterclockwise from the +x-axis.
Given Magnitude of vector A: |A| = 7.5 m
Angle from the positive x-axis: θ = 145° (counterclockwise)
(a) X-component of vector A:
Ax = |A| * cos(θ)
= 7.5 * cos(145°)
≈ -5.290 m
(b) Y-component of vector A:
Ay = |A| * sin(θ)
= 7.5 * sin(145°)
≈ 4.343 m
Now, let's calculate the components of vector -2.5A.
(a) X-component of -2.5A:
(-2.5A)x = -2.5 * Ax
= -2.5 * (-5.290 m)
≈ 13.225 m
(b) Y-component of -2.5A:
(-2.5A)y = -2.5 * Ay
= -2.5 * (4.343 m)
≈ -10.857 m
Next, let's consider vector B, which has triple the magnitude of vector A and points in the +x direction.
Given:
Magnitude of vector B: |B| = 3 * |A| = 3 * 7.5 m = 22.5 m
Direction: Since vector B points in the +x direction, the angle from the positive x-axis is 0°.
Now, we can calculate the desired quantities using vector addition and subtraction.
(a) A + B: Magnitude: |A + B| = :\(\sqrt{((Ax + Bx)^2 + (Ay + By)^2)}\)
= \(\sqrt{((-5.290 m + 22.5 m)^2 + (4.343 m + 0)^2)}\)
= \(\sqrt{((17.21 m)^2 + (4.343 m)^2)\)
≈ 18.098 m
Direction: Angle from the positive x-axis = atan((Ay + By) / (Ax + Bx))
= atan((4.343 m + 0) / (-5.290 m + 22.5 m))
= atan(4.343 m / 17.21 m)
≈ 14.198° (counterclockwise from the +x-axis)
(b) A - B: Magnitude: |A - B| = \(\sqrt{((Ax - Bx)^2 + (Ay - By)^2)}\)
= \(\sqrt{((-5.290 m - 22.5 m)^2 + (4.343 m - 0)^2)}\)
= \(\sqrt{((-27.79 m)^2 + (4.343 m)^2)}\)
≈ 28.506 m
Direction: Angle from the positive x-axis = atan((Ay - By) / (Ax - Bx))
= atan((4.343 m - 0) / (-5.290 m - 22.5 m))
= atan(4.343 m / -27.79 m)
≈ -8.080° (counterclockwise from the +x-axis)
(c) B - A:Magnitude: |B - A| = \(\sqrt{((Bx - Ax)^2 + (By - Ay)^2)}\)
= \(\sqrt{((22.5 m - (-5.290 m))^2 + (0 - 4.343 m)^2)}\)
= \(\sqrt{((27.79 m)^2 + (-4.343 m)^2)}\)
≈ 28.506 m
Direction: Angle from the positive x-axis = atan((By - Ay) / (Bx - Ax))
= atan((0 - 4.343 m) / (22.5 m - (-5.290 m)))
= atan((-4.343 m) / (27.79 m))
≈ -8.080° (counterclockwise from the +x-axis)
So, the complete step-by-step calculations provide the values for magnitude and direction for each vector addition and subtraction.
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The complete question is:
The magnitude of vector A is 7.5 m. It points in a direction which makes an angle of 145 ∘ measured counterclockwise from the positive x-axis. (a) What is the x component of the vector −2.5 A ? m (b) What is the y component of the vector −2.5 A ? m (c) What is the magnitude of the vector −2.5 A ? m following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. If a vector A has a magnitude 9 unitsand points in the -y-directionwhile vector b has triple the magnitude of A AND points in the +x direction what are te direction and magnitude of the following.
(a) A + B magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (b) A − B magnitude unit(s) direction ∘ (counterclockwise from the +x-axis) (c) B − A magnitude unit(s) direction - (counterclockwise from the +x-axis)
Given f(x)=−3x+4, what is f(2)?
Answer:
Step-by-step explanation:
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65?
Multiple Choice
0.7611
−0.714
0.2611
0.2389
the probability that a student scored greater than 65 is 0.2389.
The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:
z = (x - mean) / standard deviation
Where x is the score of interest (65)
Mean is the average score of the students (70)
Standard deviation is the standard deviation of the scores (7).
Plugging in the values, we get
z = (65 - 70) / 7 = -0.714.
Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.
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PLEASE HELP URGENT PLEASE HELP PLEASE HELP PLS
Answer:
D. <KLN and < HIL
Step-by-step explanation:
Corresponding angles make the letter F.
everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car. This is an example of
a. universal instantiation
b. existential generalization
c. existential instantiation d.universal generalization
The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.
Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.
In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.
To further understand this concept, let's break down the options provided:
a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.
b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.
c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.
d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.
In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).
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URGENT!!
1) If (-4 + 3i) is a zero of the function, list another known zero
Step-by-step explanation:
The conjugate of the complex root must also be a zero of the function if the complex root is already a zero.
Conjugate of -4 + 3i is -4 - 3i.
Hence -4 - 3i is also a zero of the function.
Answer:
-4 - 3i
Step-by-step explanation:
If a zero of a function is a+bi, there is at least one other zero, a-bi, called the conjugate.
PLEASE HELP!!
One factor of the function f(x) = x3 − 7x2 + 14x − 8 is (x − 4). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer. Please show work!
The x-intercept of f(x) is 4
The y-intercept of f(x) is -8.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = x³ - 7x² + 14x - 8
One of the factors of f(x) is (x - 4).
This means,
x = 4
Now,
The x-intercept is when y = 0.
The y-intercept is when x = 0.
When y = 0 we get the x value.
x = 4 is a factor.
The x-intercept is x = 4.
Now,
Put x = 0,
f(x) = y
y = x³ - 7x² + 14x - 8
y = 0 - 0 + 0 - 8
y = -8
Thus,
The x-intercept of f(x) is 4
The y-intercept of f(x) is -8.
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Help me do my ixl’s please
Answer:
24
Step-by-step explanation:
56/7 = 8
56 is 8 times 7, so you need 8 times 3.
8 × 3 = 24
7:3 = 56:24
Answer:
24
Step-by-step explanation:
7 is being multiplied by 8 so just multiply 3 by 8 witch will give you 24
I really need help so please help me out
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
(x^2 + 2x + 2)(x + 5) = 0
Mali has half of the cost of a day trip to a theme park for two people, and Sarah has one-third of the cost. What fraction of the cost do they have?
Answer:
5/6
Step-by-step explanation:
1/2=3/6
1/3=2/6
2/6+3/6=5/6
What is the answer to the main problem
Answer:
x-int: (3, 0)
y-int: (0, -1.5)
Step-by-step explanation:
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Find x-intercept
0 = (x - 3)/2
0 = x - 3
x = 3
(3, 0)
Step 2: Find y-intercept
y = (0 - 3)/2
y = -3/2
(0, -1.5)
Next consider a different scenario. Instead of Mexico experiencing rapid economic growth suppose that Canada experiences rapid and prolonged economic growth. Consider the affect of Canada economic growth on the economic growth of various us states. Move states that should grow quickly
The correct answer to this open question is the following.
Although the question does not include references, under that context we can say that if Canada experiences rapid and prolonged economic growth, instead of México, this would affect Canada's economic growth for the better and it will have a direct impact in various US states, basically, the border states to Canada.
This would mean more trade relations and people border crossing activity due to the increase of trade and businesses.
However, let's have in mind that México, Canada, and the United States have signed a new trade agreement that substitutes the North American Free Trade Agreement (former NAFTA). The new agreement is called USMCA, the United States, México, and Canada Agreement, and creates tight trade bonds between the three countries.
Answer:
grow quickly: michigan minnesota new york
not impacted: texas n. carolina
Step-by-step explanation: states that border canada are expected to gain from trade easier.
How do I do this it’s very confusing
The difference in the measures of the two angles is 90 - 84 = 6 °
what is theorem of complementary angles?Theorem of Complementary Angles states that two angles are complementary if the sum of their measures is equal to 90°.
This question can be solved using the theorem of complementary angles, which states that if two angles add up to 90°, then they are complementary angles.
1. Since <A is a right angle, m<A = 90°
2. To find the measure of angle B, solve the equation 9x - 24 = 90.
3. 9x = 114, so x = 12.5.
4. Therefore, m<B = 9x - 24 = 108 - 24 = 84.
5. The difference in the measures of the two angles is 90 - 84 = 6°
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if a runner races 50 meters in 5 seconds, how fast is she going?
Answer:
10 m/s
Step-by-step explanation:
The phrase "how fast she is going" tells us that we need to find her speed.
To find her speed, we need to take her distance (50 meters) and divide it by the time (5 seconds):
Runner's Speed = Distance ÷ Time
Runner's Speed = 50 ÷ 5
Runner's Speed = 10 m/s
Hence, the girl's speed is 10 m/s
Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
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Hello!
Please help it’s much needed
what is the probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles?
The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.
To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula
z = ( x- μ)/ σ
where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get
z = ( 42,000- 40,000)/ 3,000 = 0.67
Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.
thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.
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The correct question is given below-
A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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22m-11y+3v-9m ''Simplify''
PLEASE HELP, PIC PROVIDED. Miguel has started running. He runs 1 mile the first week. His goal is to run 2 miles farther than his distance for the
previous week. What equation represents this scenario?
Is it the answer I chose?
Answer: A
Step-by-step explanation:
Miguel started running, and he runs 1 mile in the first week, then the equation will be y = 2x + 1. Hence, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Miguel runs for 1 mile in the first week.
Then, his goal is to run 2 miles farther than his distance for the previous week.
Then the equation will be: y = 2x + 1
Here, y is the total distance and x is the number of miles.
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Find the missing exponent. 7? x (75)4 = 734 Place only the missing exponnt value
Х
Answer:14
Step-by-step explanation:took the test
A computer store buys a computer system at a cost of $456.60. The selling price was first at 776 , but then the store advertised a 10% markdown on the system.Members of the store's loyalty club get an additional 10% off their computer purchases. How much do club members pay for the computer with their discount?
Answer: The selling price was at first $776 but then the store advertised a 30% markdown on the system. Find the current sale price.
Step-by-step explanation:
$776 - (30% of $776) = $ x :: current sale price
776 - 776 * 0.3 = x
776 * (1 - 0.3) = x
776 * 0.7 = 543.20
Current sale price for the computer system is $543.20.
the three perpendicular bisectors of a triangle intersect in one point called the
3) (2 Marks) Find the range and codomain of the matrix transformation T A
, where A= \( {\left[\begin{array}{cc}1 & 2 \\ 1 & -2 \\ 0 & 1\end{array}\right] \). Is the result true if the functions are not linear? Justify your \( } \) answer.
T A can be seen as a linear transformation from R^2 to R^3.
To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:
T A (x) = A x
Therefore, T A can be seen as a linear transformation from R^2 to R^3.
To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:
A = (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])
The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].
To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.
If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.
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help please!!! i’ll give brainiest!
=================================================
Explanation:
Replace every x with -3
Then use the order of operations (PEMDAS) to simplify
y = -2x^2 + x - 5
y = -2(-3)^2 + (-3) - 5 ... x replaced with -3
y = -2(9) - 3 - 5
y = -18 - 3 - 5
y = -21 - 5
y = -26
Answer:
-26
Step-by-step explanation:
1. plug in -3 for all x's
-2(-3)^2 + (-3) -5
2. combine like terms
-2(-3)^2 - 8
3. pEmdas. deal with exponent first (remember: only affect the 3, since it's in parentheses! also when you square a negative number, it becomes positive!)
-2(9) - 8
4. peMdas. multiply -2 and 9 next.
-18 - 8
5. pemdaS. subtract 8 from -18.
-18 - 8 = -26
what is From
$80 to
$64
Answer:
5 to 4
Step-by-step explanation:
more like this
I did it on good notes
You are building a cylindrical packing tube. You want the length of the tube to be 30 inches and the volume to be 589 cubic inches. What should the radius of the base be
If you want the length of the tube to be 30 inches and the volume to be 589 cubic inches, the radius of the base of the cylindrical packing tube should be approximately 2.56 inches.
To find the radius of the base of the cylindrical packing tube, we need to use the formula for the volume of a cylinder:
V = πr²h
where V is the volume, r is the radius, and h is the height (or length) of the cylinder.
We are given that the length (or height) of the tube is 30 inches and the volume is 589 cubic inches. Substituting these values into the formula, we get:
589 = πr²(30)
Simplifying this equation, we can divide both sides by 30π:
589 / (30π) = r²
Taking the square root of both sides, we get:
r ≈ 2.56 inches (rounded to two decimal places)
Therefore, the radius of the base of the cylindrical packing tube should be approximately 2.56 inches.
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