Answer: y = 12/11 x + -12/11
Step-by-step explanation:
m = y2 -y1/x2 -x1
x1 = -4
x2 = 7
into m = y2 - y1/x2 -y1
y1 = -7
y2 = 5
m = 12/11
x = -4 into y = mx + b
y = -7
b = - 12/11
y = 12/11x + -12/11 into
y = mx + b :
y + 12/11x + -29/11
a solid right circular cone has radius 5 cm and height 12 cm as shown. what is the probability that a randomly chosen point inside this cone is a distance of at least 1 cm away from the closest point on the surface of the cone? express your answer as a decimal to the nearest thousandth.
Answer:
47
Step-by-step explanation:
Need help asap!! 100 points
The equation that models the relationship is a(n) = 46-n( 4-1)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Find the slope of the line;
m =( y2-y1)/x2-x1
= 6-5 /26-30
= 1/-4 = -1/4
the equation of a line is given as;
y-y1 = m ( x- x1)
= y-5 = -1/4(x-30)
= y -20 = -x +30
y = -x+50
y is the time and x is temperature
therefore the model that describe the relationship is ; a(n) = 46-n( 4-1), where a(n) is y and n is x.
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Give a context-free grammar for each of the following languages. Please try to keep your grammars concise. a) L₁ = {w = {a, b}*w contains at least five as} b) L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k} c) Is your language for b) inherently ambiguous?
(a). The above context-free grammar (CFG) generates the language that has at least five "a's" and any combination of "b's".
(b). The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.
(c). it is ambiguous.
(a). Context-free grammar for L₁ = {w = {a, b}*w contains at least five as}:
S → aaaaaA | aaaaS | bS | aA | bA | ε
A → aA | bAb → bB | ε
B → bB | aB | ε
The above CFG generates the language that has at least five "a's" and any combination of "b's".
(b). Context-free grammar for L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}:
S → AbC | AcB | BCa | CBa
A → aA | ε
B → bBb
B → bBbBbBb
C → cC | ε
C → cC | ε
The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.
(c). Yes, the language for b) is inherently ambiguous. It is because there are two variables A and B in the grammar, so the string can be generated in two ways. Thus, it is ambiguous.
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Jason's two test scores in English are 87 and 91. What must he score on the third test to get an average test score of 92 or better for this grading period?
You first find the average of the first two test scores. When you find the average, you add the two numbers together and then divide by two which gives you 89. You then plug in different scores above the number 89 and find the average of those (89 and x) to see which gives you an average of 92. It’s mostly a guess and check type of problem.
A12.5 ft ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house
Answer:
3.5
Step-by-step explanation:
This can be calculatdd by applyinthe g Pythagorean theorem
a^2 + b^2= c^2
12^2 + x^2= 12.5^2
144+ x^2= 156.25
x^2= 156.25-144
x^2= 12.25
x= √12.25
x= 3.5
Hence the distance between the ladder and the house is 3.5 ft
After rolling a six-sided die 300 times, we would expect to roll a 2 or a 3 about 33.33% of the time.
Answer:
Yes
Step-by-step explanation:
There are obviously six possible rolls 1 2 3 4 5 6
picking any two of them ( rolling a 2 or three) would be
2 out of 6 = 2/6 = 1/ 3 = 33.333%
Identify the statements that describe the population at the time of mexican independence from spain in 1821.
On property held by Christian missions, some 20,000 Indians were working and living in California.
10,000 Pueblo Indians, 30,000 people of Spanish ancestry, and an unspecified number of migratory Indians made up New Mexico.
The Treaty of Córdoba was signed on August 24, 1821, by Spanish Viceroy Juan de O'Donoj, approving a plan to transform Mexico into a sovereign constitutional monarchy. Iturbide was named the emperor of Mexico in 1822 since there had been no discovery of a Bourbon king to rule Mexico.
The nation was left in a dire situation after winning independence in 1821. Over 500,000 Mexicans perished during the war, and agricultural, mining, & industrial productivity all declined. Mexico was a young nation that was having internal difficulties becoming a nation.
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Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.
4 - 2 = 2
If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.
4/6 - 2/6 = 0.33333333333
So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000
That's all I could come up with. Don't judge me
Austin shops at Surfer Joe's Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and 5 towels.
If he gives the cashier $80.00, how much change will Austin get back?
Answer:
$2.86 is what he got back
-PLEASE SOLVE-
I think the answer is 4 but I’m not sure!! PLEASE HELPP!
Answer:
4) -3
Step-by-step explanation:
The minimum y value of this absolute value function is -3
Charlotte is going to drive from her house to City A without stopping. An
equation that determines Charlotte's distance from City At hours after
leaving her house is D = -30t +300. What is the y-intercept of the
equation and what is its interpretation in the context of the problem?
Answer: To find Y intercept means
T=0, so replace T with 0 and solve equation
it is equal to
300
Here is what I did to find the answer, If have any other question add me on discord Acathia#0103, i can help you with any other problems
When you are translating a function what does +d mean and -d mean
Answer:
ONe is postive and the other is negetive
Step-by-step explanation:
a) y = 8x
What happens to the value of y if the value of x triples?
Select your answer.
x 8
x 3
+ 3
+ 8
A
B
C
D
8
b) y= x
What happens to the value of y if the value of x doubles?
Select your answer.
x2
x4
- 2
4
A
B
C
D
Answer:
So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".
Step-by-step explanation:
For a given "x", y follows the expression: \(y = 8*x\). We have a new input to the function, which we will call "a", we know that this value is 3 times the value of the prior "x", so we can calculate what will happen to "y" as shown below:
\(y_1 = 8*x\)
For when the input is "a":
\(y_2 = 8*a\)
We know that "a" is 3 times x, therefore:
\(y_2 = 8*(3*x)\)
Due to the associative property of the product we can rewrite the above expression as:
\(y_2 = 3*(8*x)\)
Since "8*x" is the same as the prior "y", then we have:
\(y_2 = 3*y_1\)
So when we triple the value of "x" in that expression we also triple the value of "y". The corrrect answer is "x 3".
What is the product?
3 x 4/5
The product Write as an improper fraction is ?
the product written as a mixed number is 2 2/5.
Whats the anwser ?
Answer:
12/5 as an improper fraction
2 2/5 as a mixed number
Step-by-step explanation:
3 * 4/5
Rewriting the whole number as a fraction
3/1 * 4/5
Multiply the numerators
3*4 = 12
Multiply the denominators
1*5 =5
Numerator over denominators
12/5
Rewriting as a mixed number
5 goes into 12 2 times (2*5=10 12-10=2) with 2 left over
2 2/5
you have 4 cards and a spinner with 5 numbers on it. how many combinations are possible?
There are 625 possible combinations.
What is multiplication principle?According to the multiplication principle, if an event A can happen in x different ways and an event B can happen in y different ways, then there are x y possibilities for both events to happen at once.
To determine the number of combinations possible with 4 cards and a spinner with 5 numbers, we can use the concept of the multiplication principle.
For the spinner, we have 5 possible numbers that can be selected.
For the 4 cards, each card can have any one of the 5 possible numbers from the spinner.
Using the multiplication principle, we multiply the number of choices for each item together to find the total number of combinations.
Number of combinations = Number of choices for the spinner × Number of choices for each card
= 5 × 5 × 5 × 5
= 625
Therefore, there are 625 possible combinations.
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PLEASE HELP ME this is my last question
The solution of the expression is,
⇒ S = - 5100
Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
We have to given that;
Sequence is,
⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]
Now, We get;
⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]
Replace n to n + 1;
⇒ a (n + 1) = 100 (- 4)ⁿ
And, For n = 1;
⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]
⇒ a (1) = [ 100 (- 4)¹⁻¹ ]
⇒ a (1) = 100
And, Common ratio = - 4
Hence, The sum of geometric ratio is,
⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)
⇒ S = 100 (1 - 256) / 5
⇒ S = - 5100
Thus, The solution of the expression is,
⇒ S = - 5100
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If bread and peanut butter are complements, then a decrease in the price of peanut butter will lead to:
The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread.
Complementary goods are items that are frequently consumed together. As a result, when the cost of one of them changes, it affects the consumption of the other. When bread and peanut butter are complementary goods, a price reduction of peanut butter results in an increase in its demand. The demand for bread will increase as a result of the decrease in the price of peanut butter. As a result, if the price of peanut butter is reduced, its consumption will rise. As a result, the demand for bread would increase because of the complementary relationship between the two. Bread and peanut butter are complementary goods that are frequently purchased together.
When the price of peanut butter decreases, people would buy more peanut butter, causing them to purchase more bread to go with it. The drop in the price of peanut butter would result in an increase in the demand for bread. In other words, the decrease in the price of peanut butter would result in an increase in the demand for bread. The relationship between complementary goods is, therefore, inverse.
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Jell E. Bean owns the local frozen yogurt shop. At her store, customers themselves a bowl of frozen yogurt. Jell E. Bean charges $32 for five pounds of yogurt.
Answer:
Step-by-step explanation:
What is the question? Determine the unit price?
$32/(5 pounds) * (1 pound)/(16 ounces) = $0.40/ounce
Unit price
12-6r=2r+36 (2-step equations)
Answer: r=-3
Step-by-step explanation:
12-6r=2r+36
12=8r+36
-24=8r
r=-3
.The following newspaper type graphic illustrates the ideal family size (total children) based on a survey of adults from a certain country. Complete parts (a) through (c) below.
What type of graphic is being displayed?
Dot plot
Pie chart
Bar graph
Based on the given options, the type of graphic being displayed is a "Bar graph."
What is the graphic representation?
A graphic representation, in general, refers to any visual or graphical depiction of data, information, or concepts. It is a visual tool used to present information in a concise and easily understandable format. Graphic representations can take various forms, including charts, graphs, diagrams, maps, tables, and illustrations.
A bar graph is a type of chart that uses rectangular bars to represent data.
It is commonly used to display and compare categorical data or data that can be grouped into distinct categories.
In a bar graph, each category is represented by a bar, and the length or height of the bar corresponds to the value or frequency of that category.
In the context of the given question, the graphic is representing the ideal family size (total children) based on a survey of adults from a certain country.
The bar graph would likely have different bars representing different family sizes or categories (e.g., 0 children, 1 child, 2 children, etc.).
The length or height of each bar would indicate the percentage or frequency of respondents who considered that particular family size as ideal.
Compared to a dot plot, which represents individual data points with dots, and a pie chart, which displays the proportions of a whole using slices of a circle, the description provided suggests that the graphic is a bar graph since it uses bars to represent data categories.
Hence, Based on the given options, the type of graphic being displayed is a "Bar graph."
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Solve for x and y
Hi
Answer:
x = 10, y = 20
Step-by-step explanation:
Because two sides of the rightmost triangle are congruent, the base angles would follow suit. This means 5x - 10 = 3x + 10. Simplifying this we get:
2x = 20
x = 10
Next, in the other triangle, we can say the same thing, the base angles would be congruent. From this we can say that the other base angle is 4y. Using the exterior angle theorem, we can say that the two angles with x terms add to 4y. This means 3x + 10 + 5x - 10 is 4y. We already know x is 10, so substituting that in we get:
80 = 4y
y = 20
The z-score for a particular observation is z = -1.2. This means the observation is
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
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Use logarithmic differentiation to find the derivative of the function. y=(ln(x+4)) x
the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].
To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:
Step 1: Take the natural logarithm of both sides of the equation:
ln(y) = ln((ln(x + 4))x)
Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:
ln(y) = x ln(ln(x + 4))
Step 3: Differentiate both sides of the equation implicitly with respect to x:
(1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))
Step 4: Simplify the expression on the right-hand side:
y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]
Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:
y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]
Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].
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Given: XZ bisects ZYXW
and ZYZW
Prove: AXYZ 2 AXWZ
Answer:
Step-by-step explanation:
Top Problem:
Reason:
1. Given
2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)
3. Vertical angles are congruent
4. SAS (Side ZP≅XP Angle ZPY ≅ WPX Side WP≅YP)
Bottom Problem
Reason:
1. Given
2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)
3. Definition of angle bisector
4. Reflexive Property ( a line segment is congruent with itself)
5. ASA (Angle Side Angle Theorem of Congruency)
Q7 a and b is confusing, is there any chance someone could help?
Answer:
a. 12 sides
b. Not possible
Step-by-step explanation:
a.
\(d=\frac{1}{2} n(n-3)\)
\(\frac{1}{2}n^{2}-\frac{3}{2} n=54\)
multiply by 2
\(n^{2} -3n=108\)
equation
\(n^{2} -3n-108=0\)
factor
\((n-12)(n+9)\)
\(n-12=0\\n=12\)
b.
\(n^{2} -3n=33\)
\(n^{2} -3n-33=0\)
The roots of the equation are decimal numbers
The number of sides must be integer
So there is no polygon with 33 diagonals.
Hope this helps
What is the equation of the line?
Answer:
the second one
Step-by-step explanation:
the independent number is the y intercept (where it touches the y-axis which would make the y-intercept 2) and the slope is 1/2 if you use rise/run. so it seems as if the equation is written in y=mx+b form. so the answer is y=1/2x+2
please help me with my question
The volume of a triangular prism is given by the following expression:
\(V=A_{\text{base}}\cdot h\)Where V is the volume, Abase is the area of the base and h is the height of the prism. For this prism the base has a rectangular shape, so it can be calculated as shown below:
\(A_{\text{base}}=\text{length}\cdot\text{width}=18\cdot12=216cm^2\)Using this value on the first expression:
\(V=216\cdot9=1944cm^3\)The correct option is A.
You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit. The monthly cost for Average Joe’s is $32 with unlimited visits.
Answer:
i dot kniw
Step-by-step explanation:
what is 25% off $27
Answer:
6.75 $
Step-by-step explanation:
25%
= 25 / 100
= 1 / 4
25% of $ 27
= ( 1 / 4 ) x ( 27 )
= ( 1 x 27 ) / 4
= 27 / 4
= 6.75 $
Answer:
$20.25
Step-by-step explanation:
Suppose an arc of length s lies on the unit circle x² + y² = 1. starting at the point (1,0) and terminating at the point (x,y). Use a calculator to find the approximate coordinates for (x,y). (Hint: x = cos s and y = sin s.)
s=2.7
The approximate coordinates for (x,y) on the unit circle, given an arc length of 2.7, are (x ≈ -0.605, y ≈ 0.796).
To find the approximate coordinates (x, y) on the unit circle, we can use the trigonometric functions cosine and sine. Given an arc length of 2.7, we substitute the value into the trigonometric functions.
Using a calculator, we find that cos(2.7) ≈ -0.605 and sin(2.7) ≈ 0.796.
Therefore, the approximate coordinates for the point (x, y) on the unit circle, starting at (1, 0) and terminating at the point (x, y) with an arc length of 2.7, are approximately (x ≈ -0.605, y ≈ 0.796).
These coordinates represent the x and y coordinates of a point on the unit circle that lies along the arc with a length of 2.7 units, starting from the point (1, 0) and ending at the point (x, y).
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