Answer:
The slope is -1
Step-by-step explanation:
We need two points on the line to find the slope
(0,4) and (4,0)
The slope is
m = (y2-y1)/(x2-x1)
= (0-4)/(4-0)
= -4/4
= -1
a snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below: snow cone with spherical bubble gum ball at the bottom the radius of the cone is 1.75 inches, and its height is 3.5 inches. if the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?
The closest approximation of the volume of the cone that can be filled with flavored ice is approximately 5.379 cubic inches.
To find the volume of the cone that can be filled with flavored ice, we need to calculate the volume of the entire cone and subtract the volume of the bubble gum ball.
The volume of a cone can be calculated using the formula:
V_cone = (1/3) * π * r² * h
where r is the radius of the cone and h is the height of the cone.
Given:
Radius of the cone (r) = 1.75 inches
Height of the cone (h) = 3.5 inches
Diameter of the bubble gum ball = 0.5 inches
First, let's calculate the radius of the bubble gum ball using the diameter:
Radius of the bubble gum ball = Diameter / 2 = 0.5 / 2 = 0.25 inches
Now, we can calculate the volume of the cone:
V_cone = (1/3) * π * (1.75)² * 3.5
V_cone ≈ 5.444 cubic inches (rounded to three decimal places)
Next, let's calculate the volume of the bubble gum ball:
V_ball = (4/3) * π * (0.25)³
V_ball ≈ 0.065 cubic inches (rounded to three decimal places)
Finally, we subtract the volume of the bubble gum ball from the volume of the cone:
Volume of flavored ice = V_cone - V_ball
Volume of flavored ice ≈ 5.444 - 0.065 ≈ 5.379 cubic inches (rounded to three decimal places)
Therefore, the closest approximation of the volume of the cone that can be filled with flavored ice is approximately 5.379 cubic inches.
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find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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-8x < 32
Do what on both sides and change or keep the inequality sign?
See picture please
The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4
The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.
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The polynomial expressions 10x2 + 26x – 12 and 2(5x – 2)(x – 3) share a common binomial factor.
What binomial factor do they share?
Answer:
(5x-2)
Step-by-step explanation:
first factor the quadratic equation
10x²+26x-12 by factoring out the gcf of 2
2(5x²+13x-6) to factor the quadratic, first multiply ac (5)(-6)
find factors of -30 that multiply to give you -30 and add to give you the middle term 13.
factors -2, 15
take your leading term 5x and put it over the 2 factors, then reduce when necessary. it is not necessary to use the 5x² because the x in the denominator cancels one out)
5x/-2 and 5x/15 (this one can be reduced to x/3
(5x-2)(x+3) are the factors.
the shared factor is (5x-2)
Answer:
they share 5x-2 as common factor
Step-by-step explanation:
10x² + 26x – 12 and 2(5x – 2)(x – 3)
10x² + 26x – 12 take 2 as common factor
2(5x²+13x-6) factorize
2(5x-2)(x+3)
they share 5x-2 as common factor
What is the importance of making connections with the real world
when teaching math concepts? What are some real-world applications
of geometry that would be appropriate for young
learners?
These real-world applications help young learners see the practical applications of geometry and develop a deeper understanding of geometric concepts while making learning more engaging and meaningful.
Relevance: Connecting math to real-world applications helps students see the practical value and relevance of the concepts they are learning. It provides a meaningful context and motivation for learning.
Engagement: Real-world applications make math more interesting and engaging for students. It brings concepts to life and helps students see how math is used in everyday life.
Deep understanding: By applying math concepts to real-world situations, students develop a deeper understanding of the concepts and their connections. It promotes critical thinking, problem-solving skills, and the ability to apply mathematical knowledge in different contexts.
Transferability: Real-world applications help students see how math concepts can be transferred and applied to various situations. It promotes the ability to apply learned concepts to new and unfamiliar problems.
Some real-world applications of geometry that would be appropriate for young learners include:
Measurement: Young learners can apply geometric concepts to measure and compare the lengths, areas, and volumes of objects in their environment. For example, measuring the length of a room, comparing the sizes of different shapes, or estimating the volume of a container.
Navigation and Maps: Young learners can use geometry to understand maps, directions, and spatial relationships. They can learn about reading maps, understanding coordinates, and finding distances between locations.
Architecture and Construction: Exploring geometric shapes, angles, and symmetry can help young learners understand the principles of architecture and construction. They can design and build simple structures using different shapes and understand the importance of stability and balance.
Art and Design: Geometry plays a significant role in art and design. Young learners can explore symmetry, patterns, and shapes in various art forms. They can create tessellations, explore rotational symmetry, or design patterns using geometric shapes.
Everyday Objects: Geometry is present in everyday objects around us. Young learners can identify and classify shapes in their environment, such as identifying spheres, cubes, cylinders, and cones in objects like balls, boxes, cups, and ice cream cones.
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PLEASE HELP I WILL GIVE BRAINLEIST
Answer:
1. b 2. b 3. c 4. a 5. c
Step-by-step explanation:
hope this helps! i can give an explanation if needed
Answer:
What he said
Step-by-step explanation:
A cube has a volume of 1 cubic unit. What is the perimeter of one of its faces
Statement I is false because the study has volunteers, which is not a random selection of the population. We cannot generalize the results to the population of all people with a moderate case of the disease.
The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.
However, it is important to note that not all studies need to use random sampling in order to draw meaningful conclusions. In some cases, non-random samples may still provide valuable insights into the topic of interest.
In any case, if the study did use volunteers who self-selected to participate, it is important for the researchers to acknowledge this limitation in their conclusions and to avoid overgeneralizing the findings beyond the sample they studied.
The statement is partially correct. because, If the study used volunteers who self-selected to participate, then it may not be a representative sample of the entire population with a moderate case of the disease, and therefore the results may not be generalizable to the population.
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A local pizza shop has a membership program for frequent buyers. The membership costs $15 per month and members get a discounted price of $2 per slice of pizza. Anna purchased a membership to this pizza shop. How much would Anna have to pay the pizza shop if she bought 11 slices of pizza this month? What would be the monthly cost for
x
x slices of pizza?
Answer:
cost of slices=2x
cost=monthly fee+cost of slices
15x+2x
-Hope this helps<3
Answer: Anna would have to pay the pizza shop $37.00.
Step-by-step explanation:
11x2=22
22+15=37.
The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
What is negative 27 divided by 9?
Answer:
-3
Step-by-step explanation:
What is positive 27 divided by 9? 3.
This time it's the opposite
negative 27 divided by positive 9 is -3
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
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If A(2, 3) and B(-4, -6), find AB.--
\( \huge \bf༆ Answer ༄\)
The distance between points can be solved using Distance formula (similar to Pythagoras theorem)
\( \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}\)
Put the values : -
\( \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } \)\( \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } \)\( \sf D = \sqrt{36 + 81} \)\( \sf D = \sqrt{117} \)\( \sf D = 3 \sqrt{13} \)Distance between the points = 3√13 units
\(꧁ \: \large \frak{Eternal \: Being } \: ꧂\)
Answer:
If you are trying to find the line, simply use a graph.
Step-by-step explanation:
Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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HELP ASAP!!! please, I need help
Your answer would be be subtract 3
hope it helps
Let x denote the number of bombs hit per minute in an area of 1 square miles on a
certain day during a war. Suppose has a Poisson distribution with λ = 5.
(a) Find the probability that two bombs hit that area in a minute.
(b) Find the probability that at most two bombs hit that area in a minute.
(c) Find the expected number of bomb hits per minute in that area.
(d) Find the variance of the number of bomb hits per minute in that area.
(a) The probability that two bombs hit an area of 1 square mile in a minute is given by the Poisson distribution formula P(X = 2) = (λ^2 * e^-λ)/2!, where λ = 5. Therefore, the probability of two bombs hitting is P(X = 2) = (5^2 * e^-5)/2! = 0.144.
(b) The probability of at most two bombs hitting is given by the sum of the probabilities of 0, 1, and 2 bombs hitting, which can be found using the Poisson distribution formula. Thus, the probability of at most two bombs hitting is P(X <= 2) = (5^0 * e^-5)/0! + (5^1 * e^-5)/1! + (5^2 * e^-5)/2! = 0.54.
(c) The expected number of bombs hitting an area of 1 square mile in a minute is given by the mean of the Poisson distribution, which is equal to λ = 5. Thus, the expected number of bombs hitting is 5.
(d) The variance of the number of bombs hitting an area of 1 square mile in a minute is given by the variance of the Poisson distribution, which is equal to λ = 5. Thus, the variance of the number of bombs hitting is 5.
In conclusion, the probability that two bombs hit an area of 1 square mile in a minute is 0.144, the probability of at most two bombs hitting is 0.54, the expected number of bombs hitting is 5, and the variance of the number of bombs hitting is 5.
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Help stuck on this question
Answer:
< b = 73°
Step-by-step explanation:
The angle with a measure of < 73° has the same measure as < b because they are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Therefore, the correct answer is: < b = 73°
For the function, locate any absolute extreme points over the given interval. (Round your answers to three decimal places. If an answer does not exist, enter DNE.) h(x) = x3 – 5x2 - 6x, -2 sxs 10 absolute maximum (x, y) = -.519,1.627 x absolute minimum (x, y) = ( 3.852, – 40.146)
For the function that is locate any absolute extreme points over the given interval h (x) - x 3 - 5x2 - 6x, 10 a we get absolute maximum for x and y (-0.380, 0.488) (10, 350) and absolute minimum for x and y (-2, -22) and (4.38, -52.924)
Both critical point lies in domain -2 \(\leq\) n \(\leq\) 10. We know that h (n) is not define at both side of interval end point so n = -2 and n = 10 are critical point,
The critical point are point where f(n) is defined and its derivative is zero or undefined.
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find the sum (3x^2-2x+1) + (4x^2 + 3x + 2)
Answer:
7x^2+x+3
Step-by-step explanation:
collect the like terms:
3x^2-2x+1+4x^2+3x+2
7x^2-2x+1+3x+2
7x^2+x+1+2
solution:
7x^2+x+3
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
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10
Use the line plots shown.
Seventh Graders
+
2 3 4 5 6 7
Hours of Homework
What can you conclude from the means?
The typical
Choose...
Eighth Graders
2 3 4 5 6 7
Hours of Homework
-grader has more homework than the typical
Choose...
-grader.
Answer:
Hey Mate
Here is Your answer
The typical Eighth grader has more homework than the typical Seventh grader
Verify that the following function is a probability mass function, and determine the requested probabilities. f(x)=
65
4x+5
,x=0,1,2,3,4 Is the function a probability mass function? Give exact answers in form of fraction. (a) P(X=4)= (b) P(X≤1)= (c) P(2≤X<4)= (d) P(X>−10)=
The given function is a probability mass function. Given function is:
f(x)=65/ (4x+5), x = 0, 1, 2, 3, 4
(a) The probability of getting X = 4 is P(X = 4)
Let's find the value of f(4)f(4) = 65/ (4(4) + 5)= 65/21P(X = 4) = f(4) = 65/21
Therefore, P(X = 4) = 65/21.
(b) The probability of getting X ≤ 1 is P(X ≤ 1)P(X ≤ 1) = P(X = 0) + P(X = 1)
Let's find the value of f(0) and f(1)f(0) = 65/ (4(0) + 5) = 65/5f(1) = 65/ (4(1) + 5) = 65/9
Now, P(X ≤ 1) = f(0) + f(1) = 65/5 + 65/9 = 52/9
Therefore, P(X ≤ 1) = 52/9.
(c) The probability of getting 2 ≤ X < 4 is P(2 ≤ X < 4)P(2 ≤ X < 4) = P(X = 2) + P(X = 3)
Let's find the value of f(2) and f(3)f(2) = 65/ (4(2) + 5) = 65/13f(3) = 65/ (4(3) + 5) = 65/17
Now, P(2 ≤ X < 4) = f(2) + f(3) = 65/13 + 65/17= (1105/221)
Therefore, P(2 ≤ X < 4) = 1105/221.
(d) The probability of getting X > -10 is P(X > -10)
As the value of x is given from 0 to 4, this means the minimum value of X is 0, hence X can never be less than -10.
Therefore, P(X > -10) = 1So, the probabilities are:
(a) P(X=4) = 65/21
(b) P(X≤1) = 52/9
(c) P(2≤X<4) = 1105/221
(d) P(X>-10) = 1
Given function:
f(x)= 65/ (4x+5), x = 0, 1, 2, 3, 4
The formula to check whether a function is a probability mass function or not is:
∑f(x) = 1, for all x=0, 1, 2, 3, 4
Therefore,
∑f(x) = f(0) + f(1) + f(2) + f(3) + f(4) = 65/5 + 65/9 + 65/13 + 65/17 + 65/21= 1
Hence, the given function is a probability mass function.
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I gotta find out the height?
Answer: 143.089 or 143.1
well, the smaller triangle is a miniature replica of the big triangle, so you have to find the scale between both triangles bases by doing 122/1.62=75.31 and then use that number to multiply by the height of the smaller triangle giving you the height of the bigger triangle so 75.31*1.9=143.089 or 143.1
Step-by-step explanation:
mistah... clean
(7 * 10-5) * (5 x 10-) =
? x 10
Answer:
3250
Step-by-step explanation:
there 3 cups of ketchup for every 1/2 cup of mustard what is the rate in cups of per ketchup per mustard
There are 3 cups of ketchup for every 1/2 cup of mustard, then the rate in cups of ketchup per cup of mustard is:
3÷1/2 = 3*2 = 6 cups of ketchup per cup of mustard
What is the answer??
Answer:
x = -2±i
Step-by-step explanation:
a+sign before the blank (Example: −300 ). If you answer is zero, enter " 0 ". (b) Discuss the value of the portfolio with and without the European put options. The lower the stock price, the 3 beneficial the put options. The options are worth nothing at a stock price of $ 3. There is a benefit from the put options to the overall portfolio for stock prices of $
The sign before the blank is "+" (Example: +300). (b) The value of the portfolio with European put options increases as the stock price decreases, providing a protective benefit to the overall portfolio.
The sign before the blank is "+" (Example: +300).
(b) The value of the portfolio with European put options increases as the stock price decreases. The put options provide a protective benefit to the portfolio, as they allow the holder to sell the stock at a predetermined price (strike price).
When the stock price is below the strike price, the put options become valuable as they enable the investor to sell the stock at a higher price than the market value. However, if the stock price is above the strike price, the put options have no value and do not contribute to the portfolio's overall worth.
Therefore, the benefit of the put options is realized when the stock price is below the strike price, and it diminishes as the stock price rises above the strike price.
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Help fast due soon
Given: AC = CB
CD Bisects AB
Prove: AADC= ABDC
What are the statements and reasons
Answer:
Step-by-step explanation:
Given: AC = CB
CD Bisects AB
Prove: ΔADC= ΔBDC
AC≅CB Given
AD ≅ DB are congruent because of the segment bisector theorem.
DC≅DC reflexive property
ΔADC≅ ΔBDC SSS theorem
WILL MARK BRAINLIEST PLEASE HELP
Answer:
A = 5 units²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = \(\frac{1}{2}\) × d₁ × d₂
d₁ = x + 4 = 1 + 4 = 5
d₂ = 2y - 4 = 2(3) - 4 = 6 - 4 = 2 , then
A = \(\frac{1}{2}\) × 5 × 2 = 5 units²
Answer:
A= 5m
Step-by-step explanation:
The equation to find the area of a rhombus, when knowing the diagonals, is:
1/2×d1×d2To solve this, we have to find first d1 and d2, which are marked in a parenthesis:
d1= (x+4)m, where x=1d1= 5md1= 5m. Now, let's find d2:
d2= (2y-4)m, and y=3d2= (6-4)md2= 2mKnowing the values of both diameters, we can solve the equation for the area:
A= 1/2×d1×d2A= 1/2×5m×2mA= 1/2×10mA= 5mThe area of the rhombus is 5 meters.
Hope it helps!!
Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP
Answer:
0
Step-by-step explanation:
2(n - 1) + 4n = 2 ( 3n - 1 )
2n - 2 + 4n = 6n - 2
6n - 2 = 6n - 2
6n - 6n = -2 + 2
0 = 0