♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(slope = \frac{7 - ( - 5)}{6 - ( - 2)} \\ \)
\(slope = \frac{7 + 5}{6 + 2} \\ \)
\(slope = \frac{12}{8} \\ \)
\(slope = \frac{4 \times 3}{4 \times 2} \\ \)
\(slope = \frac{3}{2} \\ \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
3/2
Step-by-step explanation:
use the slope formula to solve
y2-y1 is 7- (-5) = 12
x2-x1 is 6- (-2) = 8
the formula is y2 -y1 over x2-x1 so
12/8
simplify it to 3/2 (fraction answer)
convert it to decimal if needed: 1.5 (decimal answer)
Akira wants to know the height of a monument. If the monument casts a shadow 12 meters long and a nearby lemon tree that is 3 meters tall casts a shadow 4 meters long, then how tall is the monument?
Answer:
Step-by-step explanation:
We can use proportions to solve for the height of the monument:
Let h be the height of the monument.
Then, we have:
h/12 = 3/4
Cross-multiplying, we get:
h = (12 x 3)/4 = 9 meters
Therefore, the height of the monument is 9 meters.
Chris said that a triangle takes up 1/2 the space of a rectangle, so the formula for finding the area of a triangle should be 1/2 x Base x Height. Is Chris correct?
Answer:
Yes
Step-by-step explanation:
Nikita determines that female freshmen text their parents more often than male students. Does this result express statistical significance, effect size, or practical significance?
This is an example of _____ significance because....
Therefore, in response to the given query, we can state that However, expressions since no data or analysis is offered, it does not mention the statistical significance or impact size of this difference.
what is expression ?In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions. It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.
This result has practical importance because it has applications in the real world. In particular, it implies that freshmen male and female may communicate differently, which may have an effect on their total academic and personal experiences. However, since no data or analysis is offered, it does not mention the statistical significance or impact size of this difference.
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Can anyone help me figure out what AP:PQ is. I keep getting stuck at y=-12y which can’t go anywhere…
Answer:
AP : PQ = 4 : 7
Step-by-step explanation:
A, P and Q lie on a straight vertical line with
AP = 4 units and AQ = 7 units, then
AP : PQ = 4 : 7
Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})
A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.
To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:
Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.
Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.
Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.
The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.
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PLEASE HELP!
Now write 40,630 in scientific notation. 40,630 = ____ ____ x 10
4.063 × 10^4
........................
Answer:
4.063 x 10 to the 4th pwr
Step-by-step explanation:
Which equation represents the graph?
Answer:
the last one
Step-by-step explanation:
the answer is d which it's the last one
Answer:
A.
Step-by-step explanation:
got it on edge assignment
[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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5) Center: (-8, 3) Point on Circle: (-9, 7)
5)
we need first to calculate the radius of the circumference, this is the distance between the center to any point of the circumference, then the radius will be:
\(\sqrt[]{(-8-(-9))^2+(3-7)^2}=\sqrt[]{1+16}=\sqrt[]{17}\)then the circumference equation is:
\((x+8)^2+(y-3)^2=17\)(2,-1) y=1/4x+8 in slope-intercept form
Answer: Here is my question
Step-by-step explanation:
for a fixed location, the number of sunlight hours in a day fluctuates throughout the year. suppose that the number of daily sunlight hours in a particular location can be modeled by the following. l(t)
On October 24, 218 days after March 20, there will be 10 hours of sunlight.
The number of daily sunlight hours of a particular location is modelled by the trigonometric equation,
l(t) = 12 + 3.5sin (2\(\pi\)/365t)
Here , L(t)= Number of sunlight hours in a day.
t = Number of days after 20th March .
Now we are required to determime the day during first 365 on which there are 10 sunlight hours ,that is, we need the value of "t" for which L(t) =10 hours. So in the given equation by putting L(t)= 10 and solving for t , follows as,
l(t) = 12 + 3.5sin (2\(\pi\)/365t)
10 = 12 + 3.5sin (2\(\pi\)/365t)
10-12 = 3.5sin (2\(\pi\)/365t)
-2 = 3.5sin (2\(\pi\)/365t)
-2/3.5 = sin (2\(\pi\)/365t)
-0.574 = sin (2\(\pi\)/365t)
For the inverse function of y = sin x
sin ⁻¹(y) =x + 2n\(\pi\)
Now as we are required to calculate the day having 10 sunlight hours in first 365 days so putting n=0 we get,
t = -35.3521 or t =217.9422
Now t can not be negative as we want to find the day after march 20 having 10 sunlight hours. So neglecting t=-35.3521 . Now we get t=217.9422 .
Rounding off we get ,t=218 which is the required answer.
Hence, 218 days after march 20 i.e on October 24 it will have 10 sunlights.
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8 out of 32 is same as??
Please tell me solution with all steps
Answer:
4
Step-by-step explanation:
32/8
= 4
Pls mark as branlist
Someone help please. (The teacher added an extra question for some reason but please help with all.)
The probability of obtaining tails and the number 5 is 1/12
the probability of obtaining an even number is 1/2
P(heads and prime number) 1/4
How to calculate the probabilitySince the events are independent, the probability of obtaining tails and the number 5 is:
P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12
The coin toss outcome is irrelevant, so the probability of obtaining an even number is:
P(even number) = 1/2
The probability of obtaining heads and a prime number is:
P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4
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The ratio of a to b is constant, and
a = 9 when b = 6. What is the value of
b when a = 2?
Answer:
Step-by-step explanation:
a : b
9 : 6
2 : x
Cross multiply
6*2 = 9x
12 = 9x
12/9 = x
4/3 = x
Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the table. Two surveys are chosen at random from the group of surveys. After the first survey is chosen, it is returned to the stack and can be chosen a second time. What is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family?.
The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.
We have,
To find the probability of the first survey indicating four children in the family and the second survey indicating one child in the family, we need to consider the number of surveys that fit this condition and divide it by the total number of possible surveys.
According to the table, the number of surveys indicating four children in the family is 8, and the total number of surveys is:
= 9 + 18 + 22 + 8 + 3 = 60.
Since the first survey is returned to the stack and can be chosen again, the probability of the first survey indicating four children in the family is 8/60.
For the second survey, there are 9 surveys indicating one child in the family (as the first survey is returned to the stack and can be chosen again), and the total number of surveys remains 60.
Therefore, the probability of the second survey indicating one child in the family is 9/60.
To find the probability of both events occurring, we multiply the individual probabilities:
Probability = (8/60) x (9/60) = 72/3600 = 1/50
Thus,
The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.
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The complete question:
Number of children in family Number of surveys
one 9
tqo 18
three 22
four 8
five or more 3
Please help me out!
Lorenzo is building a bookshelf. He wants the bookshelf to be 1.5 feet taller than 1/4 the height of his plant stand. If p equals the height of Lorenzo's plant stand, which expression represents the height of the bookshelf?
A. 4p + 1.5
B. 1/4 + 1.5 p
C. p/4 + 1.5
D. 4/p + 1.5
Answer:
C
Step-by-step explanation:
1/4p(1/4of the plant stand) +1.5(1.5f taller than)
PLS HELP WILL MARK BRAINLIEST
\(\sf \longmapsto7x^2+6xy−y^2\)
Put the values\(\sf \longmapsto7( {2}^{2} )+(6)(2)(−1)−(−1) {}^{2} \)
Solving Further\(\sf \longmapsto(7)(4)+(6)(2)(−1)−(−1) {}^{2} \)
\(\sf \longmapsto28+(6)(2)(−1)−(−1) {}^{2} \)
\(\sf \longmapsto28+(12)(−1)−(−1) {}^{2} \)
\(\sf \longmapsto28+−12−(−1) {}^{2} \)
\(\sf \longmapsto16−(−1)²\)
\(\sf \longmapsto16−1\)
\(\sf \longmapsto15\)
What is the answer to this question
Answer:
Step-by-step explanation:
a = 6
c = 6
b = 13
ac = 6 * 6 = 36
4 and 9 multiply to 36 and 4 and 9 add to 13
Simplify 5x5^2 leaving answers in index form
Answer:
5^3
Step-by-step explanation:
5*5^2
We are multiplying when the bases are the same
5^1 * 5^2
Add the exponents
5^(1+2)
5^3
Answer:5^3
Step-by-step explanation:Its a fact
Which of the following are assumptions for the confidence interval for the different between two population means?
Data is Quantitative.
Data is from a Convenience Sample
Random Sample
Both sample sizes are greater than 30 or the data from a Normal Distribution
Data is Categorical.
There are at least 15 successes and 15 failures.
The valid assumptions for constructing a confidence interval for the difference between two population means are: Data is Quantitative, Random Sample and Both sample sizes are greater than 30 or the data is from a Normal Distribution.
To answer your question, when constructing a confidence interval for the difference between two population means, certain assumptions must be met. These assumptions include:
1. Data is Quantitative: Since we are dealing with population means, the data should be quantitative, meaning it consists of numerical values. This is a correct assumption.
2. Data is from a Convenience Sample: This is not a valid assumption. To ensure the reliability of the confidence interval, data should be collected through random sampling, which ensures that each individual in the population has an equal chance of being included in the sample.
3. Random Sample: This is a correct assumption. A random sample is necessary to ensure the sample's representativeness and accuracy in estimating the population means.
4. Both sample sizes are greater than 30 or the data is from a Normal Distribution: This is a valid assumption. If both sample sizes are greater than 30, the Central Limit Theorem can be applied, which states that the sampling distribution of the sample means will be approximately normal. If the data is already from a normal distribution, the normality assumption is met.
5. Data is Categorical: This assumption is incorrect. As previously mentioned, the data should be quantitative for this analysis.
6. There are at least 15 successes and 15 failures: This assumption is not relevant for confidence intervals for the difference between two population means. This criterion is related to proportions rather than means.
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The distance between New York City, New York, and Boston, Massachusetts, is 187 miles, and the distance between New York City and Hartford, Connecticut, is 97 miles. Hartford, Boston, and New York City form a triangle on a map. What must the distance between Boston and Hartford be greater than?
The distance between Boston and Hartford be Greater than 90 miles
How to find the distance between Boston and HartfordUsing the triangle inequality theorem, since the cities form a triangle.
This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
We can find what the length of the third side has to be greater than by subtracting 97 from 187:
187 - 97
= 90
Hence, the distance has to be greater than 90 miles.
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If W is a subspace of a vector space V and BW is a basis for W, then there is a
unique subspace U so that V = W ⊕U and a basis BU for U so that BV = BW +BU
is a basis for V. True or False
There exists a unique subspace U such that V = W ⊕ U, and there exists a basis BU for U such that BV = BW + BU forms a basis for V. True.
Let's prove this statement step by step.
First, let's consider the direct sum of subspaces W and U, denoted as W ⊕ U.
The direct sum of two subspaces W and U is defined as the set of all vectors v in V that can be uniquely expressed as the sum of a vector w in W and a vector u in U.
Now, let's construct a basis for U.
Since W is a subspace of V, every vector in W is also in V.
BV, the basis for V, contains all vectors in BW, the basis for W.
To obtain a basis for U, we can select additional vectors from BV that are linearly independent from BW.
This ensures that BU, the basis for U, is linearly independent and spans U.
Next, we need to show that BV = BW + BU forms a basis for V.
We can start by showing that BV is a spanning set for V.
Any vector v in V can be expressed as v = w + u, where w is in W and u is in U. Since BW spans W and BU spans U, we have w = c1w1 + c2w2 + ... + ckwk for some scalars c1, c2, ..., ck and u = d1u1 + d2u2 + ... + dlu for some scalars d1, d2, ..., dl, where w1, w2, ..., wk are vectors in BW and u1, u2, ..., ul are vectors in BU. v = w + u can be expressed as a linear combination of vectors in BV, which shows that BV spans V.
To prove linear independence of BV, consider a linear combination of vectors in BV equal to the zero vector:
c1w1 + c2w2 + ... + ckwk + d1u1 + d2u2 + ... + dlu = 0
Since BW is linearly independent, all coefficients c1, c2, ..., ck must be zero.
Since BU is linearly independent, all coefficients d1, d2, ..., dl must be zero.
The linear combination reduces to 0 = 0, which shows that BV is linearly independent. True.
Hence, BV = BW + BU forms a basis for V.
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The graph shows the cubic function f (x) and the polynomial g(x).Which of the following feature(s) do the graphs of f (x) and g(x) have in common?x-interceptend behaviorvertical asymptote
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From the question, we can see that the graphs of f(x) and g(x) have the following in common:
I. x-intercept
II. End behavior
CONCLUSION:
I and II only --- OPTION B
Ted tried to evaluate the expression 21 divided by 3 plus 5 times 3 is his work correct
Ted's work to evaluate the expression 21 ÷ 3 + 5* 3 is incorrect, as he evaluated the division before the multiplication. He follow the wrong order of operations. The correct answer is 22, not 36.
Ted's work is incorrect. In step 1, he evaluated the division before the multiplication, which is incorrect according to the order of operations (PEMDAS). According to the order of operations, multiplication and division should be done before addition and subtraction. Therefore, the correct way to evaluate the expression is as follows:
21 ÷ 3 + 5 * 3
= 7 + 15 (evaluating multiplication before addition)
= 22
Thus, the correct answer is 22, not 36 as Ted calculated. It is important to follow the order of operations in order to arrive at the correct answer.
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_____The given question is incomplete, the complete question is given below:
Ted tried to evaluate the expression 21 ÷ 3 + 5* 3. Here, is his work:
21 ÷ 3 + 5* 3
= 7 + 5 * 3 step 1
= 12 * 3 step 2
= 36
Is his work correct?
WHICH EQUAL NEGATIVE 12?!
Answer:
just a and b
Step-by-step explanation:
The difference of a number k and 8 .1 is greater than 24.
Answer:
k - 8.1 > 24
Step-by-step explanation:
difference = subtraction
greater than 24 = > this sign
Example: $2.21 + 8% tax = $2.3868, rounds to __________.
The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.
Given an equation,
$2.21 + 8% tax = $2.3868
This is an equation which relates the cost including the percentage of tax.
When 2.21 is added to the tax amount, we get $2.3868.
2.21 + (0.08 × 2.21) = 2.3868
Here it is not mentioned up to what decimal we have to round the figure.
If 2.3868 is rounded to the nearest whole number, it becomes 2.
If 2.3868 is rounded to the tenth, it becomes 2.4.
If 2.3868 is rounded to the hundredth, it becomes 2.39.
Hence the rounded amount to the nearest tenth is $2.4.
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a family spends 3over 7 of their monthly income on food 5 over 14 on clothing and 1 over 5 on rent what fraction of the family's income is spent on other things how much did the family spend on clothing
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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VEmily uses 1 2 3 cups of sugar and 3 1 4 cups flour to make muffins. She says she has 1 2 3 more cups of flour than sugar. Do you agree? Explain. A. Yes; 3 1 4 − 1 2 3 = 1 2 3. B. No; the difference between 3 1 4 and 1 2 3 is 1 1 2 , not 1 2 3. C. No; the difference between 3 1 4 and 1 2 3 is 1 7 12 , not 1 2 3. D. No; the sum of 3 1 4 and 1 2 3 is 4 11 12 , not 1 2 3
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12The question is asking if Emily has 123 more cups of flour than sugar.
To check if this is true, we can subtract the amount of sugar from the amount of flour, and see if the difference is equal to 123.
Emily uses 1 2 3 cups of sugar and 3 1 4 cups of flour.
Therefore, the difference between the amount of flour and the amount of sugar is:
3 1 4 − 1 2 3 = 12/4 + 3/4 - 3/12 = 9/12 + 9/12 - 1/12 = 17/12
The difference between the amount of flour and the amount of sugar is 17/12, not 123. Therefore, we cannot agree with Emily's statement that she has 123 more cups of flour than sugar.
Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12, which is the same as our calculation above. Options A and B are incorrect because they give incorrect values for the difference. Option D is incorrect because it gives the sum of the two quantities, not the difference.
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Answer:
its c. all credits go to the girl/boy up there.
Step-by-step explanation: