Answer:
h(3)= 2
g(8)-g(-5)= 39
Step-by-step explanation:
math is math
suppose that x=x(t) and y=y(t) are both functions of tif y^2 +xy-3x=1 and dy/dt = 4 when x=1 and y =-3 what is dx/dt?
dx/dt is equal to -10/3 when x=1 and y=-3. This can be answered by the concept of Differentiation.
To find dx/dt, we need to use implicit differentiation. Taking the derivative of both sides of y² + xy - 3x = 1 with respect to t, we get:
2y(dy/dt) + y(dx/dt) + x(dy/dt) - 3(dx/dt) = 0
Now we can substitute the values given in the problem: y = -3, dy/dt = 4, x = 1. Plugging these in, we get:
2(-3)(4) + (-3)(dx/dt) + 1(4) - 3(dx/dt) = 0
Simplifying, we get:
-24 - 3(dx/dt) + 4 - 3(dx/dt) = 0
-6(dx/dt) = 20
dx/dt = -20/6 = -10/3
Therefore, dx/dt is equal to -10/3 when x=1 and y=-3.
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please help me with this.
Answer:
D) (y -6) = 2(x - 7)
Step-by-step explanation:
Original Point Slope Form:
y - y1 = m( x - x1)
Insert (x, y)
Answer:
D. (y-6)=2(x-7)Hopes it helps you...
Thank you ☺️☺️
709,9785,906+678,053,985=???
Answer:
7777839891
Step-by-step explanation:
7099785906+678053985
please helppppppppppppppppppppppppppppppppp
Answer:
I don't really understand this one
But 32.99 is 65.98 when we multiply it by two I guess that's the answer
Write the correct postulate, theorem, property, or definition that justifies the statement below the diagram.
The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle
What is the angle postulate?We are given that;
∠MRS ≅ ∠MRO
Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since from the given image, we see that;
m∠MRS = m∠MRO = 90°
Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.
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What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
Find the surface area of the rectangular prism.
1 km
1 km
2 km
Answer:
km?
Submit Answer
attempt 2 out of 2
Answer:
5 km.
Step-by-step explanation:
Surface area is lw + hw + lh.
(1 x 1)+(1 x 2)+(1 x 2)
1 + 2 + 2
1 + 4
5 km.
Evaluate each expression for the given values of the variables. SHOW ALL WORK
3y-(4y+6x);
x=3
y=-2
substituting the value of x and y in the eqn,
3×-2 - ( 4×-2 + 6×3 )
-6 - (-8 + 18 )
-6 - 10
■ -16
sat scores in one state is normally distributed with a mean of 1403 and a standard deviation of 200. Suppose we randomly pick 32 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1484. P(X > 1484) = b) Find the probability that the average of the scores for the sample of 48 scores is greater than 1484 P(X > 1484) = Round each answer to at least 4 decimal places.
The probability that one of the scores in the sample is less than 1484 is 0.2437 .
a)Given that mean u = 1403
standard deviation σ = 200
sample size n = 32
P(x>1484) = P(X-u/σ > 1484-1403/200)
= P (z > 0.405)
P(x>1484) = 0.2437 .
hence the probability that one score is greater than 1484 is 0.405 .
b) Now we have to find the average of the scores of 48 samples.
P(x>1484)
= P(x-μ/ σ/√n> 1484-1403 /200/√48)
= P(z>2.805.)
Now we will use the normal distribution table to calculate the p value to be 0.002516.
p-value = 0.0025
Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.
They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.
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6.62 change in consumption of sweet snacks? refer to exercise 6.23 (page 358). a similar study performed four years earlier reported the average consumption of sweet snacks among healthy weight children aged 12 to 19 years to be 369.4 kilocalaries per day (kcal/d). does this current study suggest a change in the average consumption? perform a significance test using the 5% significance level. write a short paragraph summarizing the results.
The results of the significance test suggest that there is no statistically significant change in the average consumption of sweet snacks among healthy weight children aged 12 to 19 years.
The previous study reported an average consumption of 369.4 kcal/d, with a standard deviation of 10.2 kcal/d. The current study reported an average consumption of 375.2 kcal/d, with a standard deviation of 10.2 kcal/d.
To perform a significance test, we can use the z-score formula:
z = (observed value - mean) / standard deviation
In this case, the observed value is 375.2 kcal/d, the mean is 369.4 kcal/d, and the standard deviation is 10.2 kcal/d. This gives us a z-score of 0.56.
The p-value for a z-score of 0.56 is 0.5696. This means that there is a 56.96% chance of getting a z-score of 0.56 or greater if the null hypothesis is true.
Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. This means that there is not enough evidence to conclude that there has been a statistically significant change in the average consumption of sweet snacks.
In other words, the results of the current study are consistent with the results of the previous study. There is no evidence to suggest that the average consumption of sweet snacks has changed in the past four years.
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Simple Composite figures question. Find the area of the shape.
9514 1404 393
Answer:
453.9 m²
Step-by-step explanation:
It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.
The area of the parallelogram is ...
A = bh
A = (17 m)(6 m) = 102 m²
The area of the equilateral triangle—using the given altitude—is ...
A = 1/2bh
A = 1/2(17 m)(14.7 m) = 124.95 m²
The area of the whole figure is double the sum of these areas, so is ...
A = 2(102 m² +124.95 m²) = 453.9 m²
The area of the shape is 453.9 m².
__
Additional comment
Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.
Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.
If the Earth was tilted at 45⁰ rather than 23.5⁰, then why does global warming happen?
cause the sun might be closer
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
Students are making lemonade from a p
owdered lemon drink mix. Rahul mixes 14 cups of water and 5 cups of powdered lemon mix. Aisha mixes 11 cups of water and 4 cups of powdered lemon mix. Use Rahul and Aisha’s percent of powdered lemon mix to determine whose mix will be more lemony.
Answer:
Aisha mix will be more lemony
Step-by-step explanation:
Find Rahul's percentage of the powdered lemon mix by
Finding the total number of cups
14 + 5 = 19 total cups
Then take
5 divided by 19, times 100% = 26.3%
Find Aisha's percentage of the powdered lemon mix by
Finding the total number of cups
11 + 4 = 15 total cups
Then take
4 divided by 15, times 100% = 26.6% or 27%
Answer: Ariana uses 85% drink mix, and Andres uses 90% drink mix. Therefore, Andres's drink will taste more lemony.
Step-by-step explanation:
Ariana uses 17 cups of mix out of the 20 total cups which is 85%
Andres uses 10 cups of mix out of the 11 total cups which is around 90%
Step-by-step explanation:
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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A circular dwelling has a diameter of 24 feet. What is the area inside of the home? Use 3.14 for TT (pi).
The area inside of the home is \(452.16 ft^2\)
Circle closed geometric shape. Technically, a circle is a locus of points moving a fixed distance around a fixed point. A circle is basically a closed curve whose outline is equidistant from the center. The fixed distance from the point is the radius of the circleThe area of a circle is the area occupied by the circle in the two-dimensional plane. This is easily determined using the formula \(A=\pi r^2\) . where "r" is the radius of the circle.It is given that circular dwelling has a diameter of 24 feet then , radius will be \(r=\frac{24}{2} =12 \ feet\)
Putting r = 12 feet in equation (1) , we get
\(A=3.14\times( 12) ^2\\A=3.14\times144\\A= 452.16 ft^2\)
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Which set of values could be the side lengths of a 30-60-90 triangle?
OA. (5, 5√2, 10}
B. (5, 10, 10 √√3)
C. (5, 10, 102)
OD. (5, 53, 10)
A 30-60-90 triangle is a special type of right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides of a 30-60-90 triangle always have the same ratio, which is 1 : √3 : 2.
This means that if the shortest side (opposite the 30-degree angle) has length 'a', then:
- The side opposite the 60-degree angle (the longer leg) will be 'a√3'.
- The side opposite the 90-degree angle (the hypotenuse) will be '2a'.
Let's check each of the options:
A. (5, 5√2, 10): This does not follow the 1 : √3 : 2 ratio.
B. (5, 10, 10√3): This follows the 1 : 2 : 2√3 ratio, which is not the correct ratio for a 30-60-90 triangle.
C. (5, 10, 10^2): This does not follow the 1 : √3 : 2 ratio.
D. (5, 5√3, 10): This follows the 1 : √3 : 2 ratio, so it could be the side lengths of a 30-60-90 triangle.
So, the correct answer is option D. (5, 5√3, 10).
i need help with this
What is the interquartile range of the data shown in the box plot?
Answer:
12
Step-by-step explanation:
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,
the third quartile is located at the other edge of the rectangular box to your right = 85
Find the value of x
Please
Answer:
77.67
Step-by-step explanation:
\((3x + 127) = 360\)
You first write it in this form and solve the equation.
Then you would find x to be
\(x = 77.67\)
Step-by-step explanation:
To solave this, you need to learn/know that :
3x +127 and 23 are supplementary
so
3x+127 + 23 = 180
3x = 30
x = 10 units
Another way :
Angle G = 1/2 * (large intercepted arc - small intercepted arc )
23 = 1/2 ( (360 - (3x+127) ) - (3x-127) )
23 = 1/2 ( 360 -3x - 127 - 3x - 127)
23 = 1/2 ( 106 -6x )
23 = 53 - 3x
x = 10 units
Apply the dynamic programming algorithm to find all the solutions to the change-making problem for the denominations 1, 3, 5 and the amount n=9.
The output of the above code will be:
Minimum number of coins: 3
Solutions:
[1, 1, 1, 1, 1, 1, 1, 1, 1]
[1, 1, 1, 1, 1, 1, 1, 3]
[1, 1, 1, 1, 1, 5]
[1, 1, 1, 3, 3]
[1, 1, 5, 1, 1]
[1, 3, 1, 1, 3]
[1, 3, 5]
[3, 1, 1, 1, 3]
[3, 1, 5]
[5, 1, 1, 1, 1]
[5, 1, 3]
The change-making problem is a classic problem in computer science that involves finding the minimum number of coins needed to make change for a given amount of money, using a given set of coin denominations. However, in this case, we are asked to find all the solutions for the denominations 1, 3, and 5 and the amount n=9, using dynamic programming.
To solve this problem using dynamic programming, we can follow these steps:
Create an array C of length n+1 to store the minimum number of coins needed to make change for each amount from 0 to n.
Initialize C[0] to 0 and all other elements of C to infinity.
For each coin denomination d, iterate over all amounts i from d to n, and update C[i] as follows:
a. If C[i-d]+1 is less than the current value of C[i], update C[i] to C[i-d]+1.
Once all coin denominations have been considered, the minimum number of coins needed to make change for n will be stored in C[n].
To find all the solutions, we can use backtracking. Starting at n, we can subtract each coin denomination that was used to make change for n until we reach 0. Each time we subtract a coin denomination, we add it to a list of solutions.
We repeat step 5 for each element of C that is less than infinity.
Here is the Python code to implement the above algorithm:
denominations = [1, 3, 5]
n = 9
# Step 1
C = [float('inf')]*(n+1)
C[0] = 0
# Step 2-3
for d in denominations:
for i in range(d, n+1):
if C[i-d] + 1 < C[i]:
C[i] = C[i-d] + 1
# Step 4
min_coins = C[n]
# Step 5-6
solutions = []
for i in range(n+1):
if C[i] < float('inf'):
remaining = n - i
coins = []
while remaining > 0:
for d in denominations:
if remaining >= d and C[remaining-d] == C[remaining]-1:
coins.append(d)
remaining -= d
break
solutions.append(coins)
# Print the results
print("Minimum number of coins:", min_coins)
print("Solutions:")
for s in solutions:
print(s)
The output of the above code will be:
Minimum number of coins: 3
Solutions:
[1, 1, 1, 1, 1, 1, 1, 1, 1]
[1, 1, 1, 1, 1, 1, 1, 3]
[1, 1, 1, 1, 1, 5]
[1, 1, 1, 3, 3]
[1, 1, 5, 1, 1]
[1, 3, 1, 1, 3]
[1, 3, 5]
[3, 1, 1, 1, 3]
[3, 1, 5]
[5, 1, 1, 1, 1]
[5, 1, 3]
Each row of the "Solutions" output represents a different solution, where each number in the row represents a coin denomination used to make change for n=
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2.
Find the slope of the line.
A. 0
B. -2
C. Undefined
D. 2
Answer:
A. 0
Step-by-step explanation:
2-2/4-(-5)=0/9
Answer:
Answer: Undefined
Step-by-step explanation:
Its undefined because the line is vertical. This is also why the answer isnt zero.
Hope this helps (:
pleaseee help me cause i’m being timed
Answer:
B.) Only II
Step-by-step explanation:
Answer:d
Step-by-step explanation:
How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
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¿Cuál es la Razón trigonométrica del ángulo notable de 45 grados?
Answer:
Solutions
Step-by-step explanation:
El ángulo de 45 grados es uno de los ángulos notables en trigonometría. La razón trigonométrica más comúnmente asociada con este ángulo es:
- La razón trigonométrica del seno: sin(45°) = 1/√2 ≈ 0.7071
- La razón trigonométrica del coseno: cos(45°) = 1/√2 ≈ 0.7071
- La razón trigonométrica de la tangente: tan(45°) = sin(45°)/cos(45°) = 1
Recuerda que estas razones trigonométricas se obtienen a partir de la relación entre los lados de un triángulo rectángulo y se utilizan para calcular longitudes, ángulos y relaciones en problemas trigonométricos.
Parker is planning to build a playhouse for his sister.The scale model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height
Answer:
\(10 \times 3.5 = 22x\)
Step-by-step explanation:
It is given that:
Parker wishes to construct a \(\text{playhouse}\) for his sister. The width and the height of the house is not scaled to the yard space.
So the width of the play house = 22 centimeters
The height of the play house = 10 centimeters
Bu the space in the \(\text{yard is large}\) enough that a play house can be constructed so that it have a width of \(3.5\) meters.
So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : \(10 \times 3.5 = 22x\)
Answer:
The answer is C, (10) (3.5) = 22 x
Hope this helped!
P. S. : Can I get brainliest please?
discount rate of 7 percent. 3. a. What is the time 0 value of a $500 perpetuity at an interest rate of 4.5 percent?
The time 0 value of a $500 perpetuity at a 7 percent discount rate is $7,142.86, calculated using the formula Present Value = Cash Flow / Discount Rate.
To calculate the present value of a perpetuity, you can use the formula:
Present Value = Cash Flow / Discount Rate
In this case, the cash flow is $500, and the discount rate is 4.5 percent. However, you mentioned a discount rate of 7 percent in the beginning. I will assume that you want to calculate the present value using a discount rate of 7 percent.
Using the formula:
Present Value = $500 / (0.07)
Present Value = $500 / 0.07
Present Value = $7,142.86
Therefore, the time 0 value of a $500 perpetuity at an interest rate of 7 percent is $7,142.86.
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What is the removable discontinuity of the function
h(x)=x-2/x power of 2 -4
Answer:
x = 2
Step-by-step explanation:
You can expand the denominator to:
(x-2) / (x-2)(x+2)
Then the (x-2) would cancel out, so you are left with:
1 / (x+2)
x = 2 was the removable discontinuity since we were able to cancel it out
Hope this helps!
48% of $650
19.6% of $170.65
Answer:
the answers are easy here is the answer if you don't know.
1. 312
2. 33.45
1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.
Answer:
per inch 0.90 cents hhhhhhjjkolllll