making positive changes in eating habits may decide to also improve physical fitness the family need to send workbook 1988 making a few small positive changes will not on the boost your confidence for help you take control of managing the morning
what is an equation for the line that passes through the coordinates (2,7) and (0,1)
Answer:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Step-by-step explanation:
Points:
(x1,y1) is (2,7)
(x2,y2) is (0,1)
Point-slope form is:
(y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)
y - 7 =( (-6)/(0-2) )(x-2)
y - 7 = 3x - 6
y = 3x + 1 [slope-intercept form]
Check:
Is (2,7) on the line:
7 = 3(2) + 1 ?
y = 7 ?yes
Is (0,1) on the line:
1 = 3(0) + 1 ?
1 = 1 ?yes
Suppose a house has a floor area of 2,250 square feet. What is this area in units ofsquare centimeters?A) 2.42 cm2 D) 6.86 × 104 cm2B) 2.09 × 106 cm2 E) 101 cm2C) 5.02 × 104 cm2
The area in units of square meter is 2,090,318.4 sq cm, under the given condition that a house has a floor area of 2,250 square feet. So , the correct option from the following is Option B.
To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,
2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.
The area in units of square meter is 2,090,318.4 sq cm, under the given condition that a house has a floor area of 2,250 square feet. So , the correct option from the following is Option B.
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Find and interpret the slope of the line ca
(10,4) and (2,44)
Answer: -5
Step-by-step explanation:
Slope can be found with change in y over change in x.
\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
Let (10, 4) be point 1 and (2, 44) be point 2.
\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)
\(\displaystyle \frac{44-4}{2-10}\)
\(\displaystyle \frac{40}{-8}\)
\(\displaystyle \frac{40}{-8}\)
-5
Emma is making two different kinds of cookies for a cookie party she will be attending. She needs 2 and 2/3 cups of sugar for the first recipe and 1 and 1/4 cups of sugar for the second recipe. Emma thinks she will have enough sugar but she isn't quite sure. She knows that her full 2 pound bag of sugar says it contains 4 and 1/2 cups of sugar. Determine the exact difference between the amount of sugar Emma has and the amount of sugar she needs for the recipes.) Emma's mom brought home another 2 pound bag of sugar (4 and 1/2 cups) and wants to make fudge to take to work. Her mom will need 2 and 1/6 cups of sugar. Write a numerical expression that could be used to determine exactly how much sugar will be left over from the two bags of sugar after Emma bakes cookies and her mom makes fudge
Answer:
Step-by-step explanation:
Emma is making two different kinds of cookies for a cookie party she will be attending. She needs 2 and 2/3 cups of sugar for the first recipe and 1 and 1/4 cups of sugar for the second recipe. Emma thinks she will have enough sugar but she isn't quite sure. She knows that her full 2 pound bag of sugar says it contains 4 and 1/2 cups of sugar. Determine the exact difference between the amount of sugar Emma has and the amount of sugar she needs for the recipes.) Emma's mom brought home another 2 pound bag of sugar (4 and 1/2 cups) and wants to make fudge to take to work. Her mom will need 2 and 1/6 cups of sugar. Write a numerical expression that could be used to determine exactly how much sugar will be left over from the two bags of sugar after Emma bakes cookies and her mom makes fudge
Each triangle in the STL file is defined by the vertices and inward pointing surface normal vector True O False Since the STL file is created from the Solid Model, it can be reconverted into the original CAD model O True False Which one of the following is NOT an advantage of using lattice structure? Reducing the weight Saving the material cost Simplifying the design and manufacturing process Increasing the heat exchange area for a heat exchanger
False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.
False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.
The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.
However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.
Therefore, increasing heat exchange area is not a direct advantage of lattice structures.
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please help me
thanks
..no lo sé, pero como necesito puntos, ¿sí?
Help what’s the answer ?
Answer:
c
Step-by-step explanation:
Two groups of students went to pizza delight one group paid 25 dollars 2 pizzas and 5 salads the other group paid 30.90 dollars for 3 pizzas and 2 salads
The cost of pizza and salad will be $8.54 and $2.64 respectively.
How to calculate the equations?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
The equation will be represented as;
Let p = pizza
Let s = salad
2p + 3s = 25
3p + 2s = 30.90
Multiply equation i by 3
Multiply equation ii by 2
6p + 9s = 75
6p + 4s = 61.80
Subtract.
5s = 13.20
Divide
s = 13.20 / 5
s = $2.64
Pizza will be
2p + 3s = 25
2p + 3(2.64) = 25
2p = 25 - 7.92
p = 17.08 / 2
p = 8.54
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l
Complete question
Two groups of students went to pizza delight one group paid 25 dollars 2 pizzas and 5 salads the other group paid 30.90 dollars for 3 pizzas and 2 salads. Find the cost of the pizza and salad.
Probability Question: A student is taking a multiple choice question. Each question has 4 choices. There are 20 question in the test and the student answers them all randomly. Determine the probability that the student has at least 10 correct answers. Answer to 4 decimal places
Answer: 0.9961
Step-by-step explanation:
Given: Total choices to each question = 4
So, the probability that an answer is correct = \(\dfrac{1}{4}=0.25\)
Total questions = 20
i.e. n= 20
Let x be the binomial variable that represents the number of correct answers.
So, the probability that the student has at least 10 correct answers.
\(B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)\)
\(=0.9961\) [By using cumulative binomial table]
Hence, the probability that the student has at least 10 correct answers = 0.9961
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the base of the ladder? round your answer to the nearest hundredth.
The distance between the building and the ladder is 34.876 foot.
What is a Right Triangle?A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
0.8718 × 40 = Base
Base = 34.876 foot
Base is the distance between the building and the ladder.
Base of the ladder = 34.876 foot
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Plz answer IM STRUGGLING!!
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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RIDDLE TIMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!
David's father has three sons: Snap, Crackle, and _____?
Answer:
David
Step-by-step explanation:
cuz its davids dad
help pleasee!!!! math
Answer:
its 90
m(PZR)=PR )
Hopefully its helpful and correct
consider the active vibration absorber shown in figure 3. assume that all values except the mass of the active vibration absorber are known and are equal to unity.
An active vibration absorber is a device used to reduce or eliminate vibrations in a mechanical system. It consists of a mass-spring-damper system, similar to the primary system experiencing vibrations.
The key difference is that the active vibration absorber is equipped with sensors, actuators, and a control system to actively counteract the vibrations.
The control system measures the vibrations of the primary system and generates a signal that is used to drive the actuator in the absorber. The actuator applies forces to the absorber mass, which counteracts the vibrations in the primary system.
The control algorithm adjusts the amplitude and phase of the actuator forces based on the measurements and desired response to achieve effective vibration cancellation. By actively generating forces that are out of phase and of equal magnitude to the primary system's vibrations, the active vibration absorber can significantly reduce the overall vibration levels.
In conclusion, an active vibration absorber is a device that utilizes sensors, actuators, and control algorithms to actively counteract vibrations in a mechanical system. It works by generating forces that are out of phase and of equal magnitude to the vibrations in the primary system, resulting in reduced vibration levels. The specific details and calculations would depend on the configuration and parameters of the active vibration absorber being referred to in Figure 3.
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What is the slope of the line
You can see that for every one grid square to the right, the graph moves two grid squares up. Therefore the slope is 2.
.In 1915 , the tallest flagpole in the world stood in San Francisco.
a. When the angle of elevation of the sun was 55°, the length of the shadow cast by this flagpole was 210ft . Find the height of the flagpole to the nearest foot.
To the nearest foot, the height of the flagpole is 300 feet. We can use trigonometry and the concept of similar triangles. Let's assume the height of the flagpole is h feet. The angle of elevation of the sun forms a right triangle with the flagpole and its shadow. The length of the shadow is 210 feet, and the angle of elevation is 55°.
Using the tangent function, we can set up the following equation: tan(55°) = h/210. We can solve this equation to find the value of h.
Calculating tan(55°) ≈ 1.4281, we have the equation: 1.4281 = h/210.
To solve for h, we can multiply both sides of the equation by 210: 1.4281 * 210 = h.
The approximate value of h is 300.126 feet. Rounding to the nearest foot, the height of the flagpole is 300 feet.
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You will perform a significance test of H0: μ = 19 based on an SRS of n = 25. Assume that σ = 13.
Step 1:
If x = 23, what is the test statistic z to 2 decimal places?
Step 2:
What is the P-value if Ha: μ > 19? Give your answer to 4 decimal places.
Step 3:
What is the P-value if Ha: μ ≠ 19? Give your answer to 4 decimal places.
Step 1: The test statistic z is approximately 1.54.
Step 2: The P-value for Ha: μ > 19 is approximately 0.0620.
Step 3: The P-value for Ha: μ ≠ 19 is approximately 0.1240.
step-1 To perform a significance test of H0: μ = 19 based on an SRS of n = 25, and assuming that σ = 13, follow these steps:
Calculate the test statistic z for x = 23 to 2 decimal places.
z = (x - μ) / (σ / √n)
z = (23 - 19) / (13 / √25)
z = (4) / (13 / 5)
z = 4 / 2.6
z ≈ 1.54
step-2 Determine the P-value for Ha: μ > 19 to 4 decimal places.
To find the P-value, use a z-table or an online calculator to find the probability that z > 1.54. The P-value = 1 - P(z ≤ 1.54).
P-value ≈ 1 - 0.9380
P-value ≈ 0.0620
step-3 Determine the P-value for Ha: μ ≠ 19 to 4 decimal places.
For a two-tailed test, double the P-value calculated in Step 2:
P-value (two-tailed) ≈ 2 × 0.0620
P-value (two-tailed) ≈ 0.1240
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An airplane can stay in the air for 6 hours..it has been in the air for 2.5 hours
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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Will Mark Brainleist
......................................
Answer:
C: 2
Step-by-step explanation:
count up 2 from the point (0,3) and over 1 to get to the point (1,5) to get 2/1 or 2. This method is the rise/run method. You rise up 2 units and over 1 unit from each point.
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 5) ← 2 points on the line
m = \(\frac{5-3}{1-0}\) = \(\frac{2}{1}\) = 2
Image transcription textWEEK 8 EXPONENTIAL & LOGARITHMIC FUNCTIONS PART 2 - SECTIONS 4.3 - 4.5
Question 24 of 25 (4 points)
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Time remaining: 47:13 (mmiss)
Evaluate 8 log16
1
256
without using a calculator.
If the answer is not an integer, enter it as a fraction in simplest form.
8 log 16
256
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2
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Manle TA
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To evaluate 8 log16, we need to understand the properties of logarithms. In this case, we have a logarithm with base 16.
The logarithm of a number to a given base tells us the exponent to which the base must be raised to obtain the number. In this case, we need to find the exponent to which 16 must be raised to obtain the number 8.
Since 16 to the power of 1 is equal to 16, we know that log16(16) = 1. Therefore, log16(8) is a number between 0 and 1.
To simplify further, we can express 8 as a power of 16. We know that 16 to the power of 2 is equal to 256. Since 8 is half of 16, it can be written as 16 to the power of 2 divided by 2. Therefore, 8 can be expressed as 16^(2/2).
Now, we can use the logarithmic property that states log_b(x^y) = y * log_b(x). Applying this property, we have:
8 log16 = (16^(2/2)) log16 = (16^1) log16 = 16 * log16
Since we know that log16(16) = 1, we can substitute it in:
8 log16 = 16 * 1 = 16
Therefore, the value of 8 log16 is 16.
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Write an equation in slope intercept form. m=6, b=-8
Answer:
y=6x-8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
help me plz i need the help if u help i will give brainlest
Answer:
10.6 =c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
7^2 + 8^2 = c^2
49+ 64 = c^2
113 = c^2
Taking the square root of each side
sqrt(113) = sqrt(c^2)
10.63014581=c
To the nearest tenth
10.6 =c
Answer:
The length of C is 10.6
Hope this help!
The cost price of a cricket bat is 875 and gain percent is 5%. Find the selling price.
918.75
Step-by-step explanation:
875 = 100%
43.75 = 5%
\( \frac{875 \times 5}{100} = 43.75\)
therefore selling price is 875+ 43.75 = 918.75
Answer:
918.75
Step-by-step explanation:
the 5% of 875 is 43.75 add it up to 875 the answer is 918.75
Put the x and y answers in simplest radical form
The value of x and y in the right triangle are as follows:
x = 6 units
y = 6√3 units
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the value of x and y in the right triangle. Using trigonometric ratios,
sin 60 = y / 12
√3 / 2 = y / 12
cross multiply
2y =12√3
y = 12√3 / 2
y = 6√3
Therefore, let's find x as follows:
cos 60 = adjacent / hypotenuse
1 / 2 = x / 12
cross multiply
12 = 2x
divide both sides by 2
x = 12 / 2
x = 6
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Ted is cooking a stew. A stew for 4 people requires 300g potato, 180g meat and 500g root veg. He wants to cook the stew for 6 people. He has the following ingredients: 480g potato 300g meat 750g root veg Does he have enough to cook for 6 people?
continuing with the previous problem, find the equation of the tangent line to the function at the point (2, f (2)) = (2, 4) . show work and give tangent line in the form y = mx b .
The required answer is the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.
To find the equation of the tangent line to the function at the point (2, f(2)) = (2, 4), we need to first find the derivative of the function at x = 2.
Assuming we have the original function loaded in content, we can find the derivative as follows:
f(x) = x^2 + 2x
f'(x) = 2x + 2
The tangent line touched the a curve can be made more explicit by considering the sequence of straight lines passing through two points, A and B, those that lie on the function curve. The tangent at is the limit when points ,approximates or tends .
If two circular arcs meet at a sharp point then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.
The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability."
Now we can plug in x = 2 to find the slope of the tangent line at that point:
f'(2) = 2(2) + 2 = 6
So the slope of the tangent line is m = 6.
To find the y-intercept (b) of the tangent line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the point (2, 4) and the slope we just found, we get:
y - 4 = 6(x - 2)
Simplifying and solving for y, we get the equation of the tangent line in slope-intercept form:
y = 6x - 8
Therefore, the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.
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The product of 4x and O is
Answer:
Always the product of any number and zero will be zero.
Step-by-step explanation:
Answer: Always the product of any number and zero will be zero.
HOPE THIS ANSWER HELPS YOU....
3 pounds of bananas cost $7. At this rate, how much does 1 pound of bananas cost?
Answer:
$2.33Step-by-step explanation:
To find the cost of 1 pound of bananas we use ratio and proportion
From the question
3 pounds of bananas costs $7
Then 1 pound will cost
\( \frac{7 \times 1}{3} = \frac{7}{3 } \\ = 2.33333...\)
We have the final answer as
$2.33Hope this helps you