Answer:
Step-by-step explanation:
8.
\(\frac{42}x=tan 28\\\frac{x}{42}=cot 28\\x=42 cot 28=42 cot (90-62)=42 tan 62 \approx 78.99\)
9.
\(\frac{x}{8}=cot 28=cot(90-62)=tan 62 \\x=8 tan 62 \approx 15.05\)
Look at the dot plot to answer the following question.
A dot plot titled How Old Were You When You Started Babysitting Question mark goes from 10 to 16. 10 has 2 dots, 11 has 3 dots, 12 has 3 dots, 13 has 6 dots, 14 has 2 dots, 15 has 1 dot, and 16 has 1 dot.
How many more people started babysitting when they were 13 rather than 12?
3
6
12
13
Answer: I think it’s 3
Step-by-step explanation: I took a look at 13 and 12 subtracted 6-3=3
so I believe this is the answer sorry if I’m wrong
Answer:
3?
Step-by-step explanation:
Find the missing length of the
figure.
20 cm and 12 cm
Answer:
16 cm
Step-by-step explanation:
Since all sides of a square are equal
Side x can be gotten using pythagoras theorem
hypothanous² = adjacent² + opposite²\( {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm\)Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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Need help with w(x+1)
Answer:
Sure thing w(x+1)= wx+2
Step-by-step explanation: You use distributive property. Hope this Helps!
Fimd the value of k such as the line through (5,4) and (k,2) is parallel to the line y=2
Answer:
There is no such k value.
Step-by-step explanation:
The line y = 2 is a horizontal line that includes the point (0, 2) on the y-axis.
A line through point (5, 4) can be parallel to the line y = 2, if the line through point (5, 4) is a horizontal line. The its equation is y = 4.
Since the points (5, 4) and (k, 2) have different y-coordinates, no matter what value k has, a line through point (5, 4) and point (k, 2) cannot be a horizontal line.
Therefore, there is no value of k that will make a line through (5, 4) and (k, 2) parallel to the line y = 2.
Answer: There is no such k value.
Write the equation of a circle where the endpoints of a diameter are (4,9) and (4,-3).
The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.
The "center" of circle is called as midpoint of diameter.
The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and
The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.
So, center of circle is (4,3),
The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:
⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.
⇒ distance = √((4 - 4)² + (9 - (-3))²)
⇒ √(144) = 12.
So, radius is 6.
The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,
Substituting the values
We get,
⇒ (x - 4)² + (y - 3)² = 6²,
⇒ (x - 4)² + (y - 3)² = 36,
Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.
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Jaden carried her receipt for the doctor visit to the cashier. The amount billed was $112, and she has a $20 co-pay for her health insurance. How much will Jaden be required to pay?
Answer: She has to pay $132
Step-by-step explanation:
Just add the 112 and the 20.
Determine if the shapes below are congruent or not. Explain why?
Answer:
Step-by-step explanation:
What shaped!!!!!
Ha HA HA h aha ahava!!!!!
BOTTOM TEXT!!!
parallel lines e and f are cut by transversal b. what is the value of x? 1 5 25 37
When parallel lines e and f are cut by transversal b, the value of x is 37.
Angle a and angle x are what is known as a pair of alternate interior angles, which means they are congruent (have the same measure).
When two parallel lines are crossed by a transversal, this is always the case.
Thus, we know that a and x have the same value, and we may represent this using an equation: a = x.
Because we know that a equals 80 degrees, we can substitute that value into the equation:80 = x
Next, we'll look at the bottom right angle, which we'll call b. When two parallel lines are crossed by a transversal, the angles created by the transversal on the same side of the parallel lines are known as corresponding angles.
Because they are on the same side of the transversal, corresponding angles are congruent.
As a result, we can equate the values of angle x and angle b using another equation: x = b.
Because we know that angle b equals 117 degrees, we can substitute that value into the equation:
x = 117
To solve for x, we will now set the two equations for x equal to each other:
80 = x
x = 117
x = 37
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Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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What are the first five terms, a1, a2, a3, a4, a5, of the sequence defined by a subscript n = startfraction n squared minus 9 over n cubed 3 endfraction, and how can the sequence be described?
The first five terms of the given sequence are:
a1 = -2
a2 = -5/11
a3 = 0
a4 = 7/67
a5 = 1/8
Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
For given question,
We have been given a sequence \(a_n=\frac{n^2-9}{n^3+3}\)
We need to find the first five terms, a1, a2, a3, a4, a5, of the sequence.
For n = 1,
\(a_1=\frac{1^2-9}{1^3+3} \\\\a_1=\frac{-8}{4} \\\\a_1=-2\)
For n = 2,
\(a_2=\frac{2^2-9}{2^3+3}\\\\ a_2=\frac{-5}{11}\)
For n = 3,
\(a_3=\frac{3^2-9}{3^3+3} \\\\a_3=\frac{0}{30}\\\\ a_3=0\)
For n = 4,
\(a_4=\frac{4^2-9}{4^3+3} \\\\a_4=\frac{7}{67}\)
For n = 5,
\(a_5=\frac{5^2-9}{5^3+3} \\\\a_5=\frac{16}{128}\\\\ a_5=\frac{1}{8}\)
Given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
Therefore, the first five terms of the given sequence are:
a1 = -2
a2 = -5/11
a3 = 0
a4 = 7/67
a5 = 1/8
Also, given sequence should converge to a limit of 0, since the denominator is growing faster than the numerator.
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a license plate in a certain state consists of 4 digits, not necessarily distinct, and 2 letters, also not necessarily distinct. these six characters may appear in any order, except that the two letters must appear next to each other. how many distinct license plates are possible?
33,800,000 are total distinct six characters license plates possible such that the two letters must appear next to each other. We can solve it by using combination formula ( ⁿCr ) .
Total number of digits are 10 i.e., 0,1,2,3,4,5,6,7,8,9. We have given the option to select any four digits out of 10 with repetition. So, we use combination formula
ⁿ C r = n!/(r! ×(n-r)! )
For 1ˢᵗ digit, the number ways to choose the 1ˢᵗ digit is ¹⁰C ₁= 10
For 1ˢᵗ letter, the number of ways to choose the 1ˢᵗ letter is ²⁶C ₁= 26
There are 10×10×10×10 = 10⁴ ways to choose four digits . In a similar way, the total number of letters for choice is 26 ; i.e., from A to Z. We were given the task of choosing two letters from a list of 26 , which were not necessarily distinct .
There are 26×26 = 26²ways to choose the two letters . For the letters to be next to each other, they can be the 1ˢᵗ and 2ⁿᵈ, 2ⁿᵈand 3ʳᵈ, 3ʳᵈand 4ᵗʰ, 4ᵗʰand 5ᵗʰ, 5ᵗʰ and 6ᵗʰ characters . So, there are 6-1 = 5 are choices for the positions of the letters .
Therefore, numbers of distinct license plates is 5×10⁴× 26² = 33,800,000
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Explain the importance of putting your data set in order from least to greatest
Answer:
The mean may not be a fair representation of the date
Step-by-step explain the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.
The school purchased football equipment and uniforms for a total cost of $1762. Theequipment costs $598 and the uniforms were $24.25 each. How many uniforms did theschool purchase?Let x =
Sequences and functions:question 3
salomon tracks the weight of his new puppy every 2 weeks.
she weighs 10 lbs the day he brings her home. his list for
her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}
which equation represents the growth of the puppy?
The puppy's weight increases by 3 pounds every 2 weeks, representing a constant growth pattern. To represent this, use the slope-intercept form of a linear equation, y = mx + b, starting at 10 pounds.
To determine the equation that represents the growth of the puppy's weight, we need to identify the pattern in the given list of weights.
From the list, we can observe that the puppy's weight increases by 3 pounds every 2 weeks. This means that the weight is increasing at a constant rate of 3 pounds every 2 weeks.
To represent this growth pattern in an equation, we can use the slope-intercept form of a linear equation, which is y = mx + b.
In this case, the weight of the puppy (y) is the dependent variable and the number of weeks (x) is the independent variable. The slope (m) represents the rate of change of the weight, which is 3 pounds every 2 weeks.
Since the puppy's weight starts at 10 pounds when Salomon brings her home, the y-intercept (b) is 10.
Therefore, the equation that represents the growth of the puppy's weight is:
y = (3/2)x + 10
This equation shows that the puppy's weight increases by 3/2 pounds every week, starting from an initial weight of 10 pounds.
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Meg walks to school and work each day and wants to track how far she walks each day. In the morning, Meg walks 7 blocks due east to school. After school, she walks 2 blocks north and then 4 blocks west to reach work. She walks straight home from work. How far does she walk in all? Enter the correct number in the box. Round to the nearest tenth.
Answer:
I am pretty sure it is 19 blocks because it is 14 blocks before going back home. She needs to walk 3 blocks west and 2 blocks south. 14+3+2=19
Step-by-step explanation:
Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
If a coil of cable ,50m in length has a conductor resistance of 0. 275W,calculate the value for 800m of the same cable
If a coil of cable ,50m in length has a conductor resistance of 0. 275W,then the value of resistance for 800m of the same cable will be 4.4 ohms.
What is resistance?The opposition to current flow in an electrical circuit is measured by resistance. The Greek letter omega represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm (1784–1854), a German physicist who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance.
what is conductance?the ratio of a conductor's current to potential difference, which measures how well a thing conducts electricity. This is the resistance' inverse, and it is measured in siemens.
as we are given with;
Length=50m
Resistance=0.275W
we got Formula;
Resistance=pL/A
p/A=R/A
p/A=0.275/50
=0.0055
Now for 800m wire
R= p/A(800)
R=0.0055x800
R=4.4 ohms
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A big slug weighing 10 pounds stretches a spring 4 foot. The slug is removed and replaced by another slug, of mass 1.6 slugs. The slug on the spring is then taken to the bottom of the sea (where the water offers resistance that is approximately equal to the velocity of the object) and then released from a position of 1/3 foot above the equilibrium with an downward velocity of 5/4 feet per second. (a) Set up the DE for this situation and show all the steps to find the position equation for the spring. Use X for the position and t for the time. Round all values to 2 decimal places for simplicity.
The differential equation (DE) for the given situation is set up to find the position equation for the spring. By considering the mass, gravitational force, & resistance from water, the DE is derived to be mx'' + bx' + kx = 0. .
Let's set up the DE for this situation. According to Hooke's law, the force exerted by a spring is proportional to its displacement. The equation for the force exerted by the spring can be written as F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
Considering the mass of the object attached to the spring, we also need to account for the gravitational force. The gravitational force is given by Fg = mg, where m is the mass of the object and g is the acceleration due to gravity.
Additionally, we need to consider the resistance offered by the water, which is approximately proportional to the velocity of the object. The resistance force is given by Fr = -bx', where b is the resistance constant and x' is the velocity.
Combining these forces, we obtain the DE: mx'' + bx' + kx = 0, where x'' is the second derivative of x with respect to time.
To solve this DE, we need appropriate initial conditions. Given that the object is released from a position of 1/3 foot above the equilibrium with an initial downward velocity of 5/4 feet per second, we have x(0) = -1/3 and x'(0) = -5/4 as the initial conditions.
By solving the DE with these initial conditions, we can find the position equation for the spring, which will describe the motion of the slug on the spring at the bottom of the sea.
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Write the steps you follow when you want to graph an equation y=2x +3.
Step 1;......
Step 2:.....
Step 3:.....
Answer:
1.Pick the point x= 0, y=3 as your starting point.
2. write the slope as a fraction, in this case 2/1. Move up as many times the numerator says (2), and forward as many times the denominator says (1). If either is negative, you move the opposite direction.
3. You got a second point. Put a ruler between them - or any straight edge - and draw the line.
Given the following table, what is the y-intercept of this linear function?
A) -9
B) 3
C) 0
D) 1/3
Answer:
3 is the correct answer.
Step-by-step explanation:
3 is being added to y at a constant rate. The coordinates would be (1, 3)
factor the polynomial
72a^5b^3c - 32a^3b^2c^2
Answer:
8a³b²c(9a²b - 4c)
Step-by-step explanation:
The GCF of 72 and 32 is 8.
72a^5b^3c - 32a^3b^2c^2 = 8a³b²c(9a²b - 4c)
Find the difference:
8 1/9 - (5/9)
Answer: 7 5/9
Step-by-step explanation:
8 1/9 - (5/9) = 68/9 = 7 5/9
anyone know the answer
Answer:
i have no clue
Step-by-step explanation:
which of the following are true? a) it is possible for a function to not have a global maximum or a global minimum. b) if a function has 3 critical points then it must have a global maximum. select one: a. only b b. neither a or b c. a and b d. only a clear my choice
The true statement is "It is possible for a function to not have a global maximum or a global minimum". The correct answer is option A.
The statement "it is possible for a function to not have a global maximum or a global minimum" is true. This can occur if the function has an asymptote or a vertical tangent line, or if the domain is not a closed interval.
Option B is incorrect because having 3 critical points does not guarantee the existence of a global maximum. A function could have multiple critical points, but these points may not necessarily correspond to the global maximum or minimum.
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Write 15+45 as a product of 2 factors using GCF and the distributive property
We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).
We are given the following expression-
15 + 45
Now, we can factorize 15 into prime factors as follows -
= 3 × 5 (15 × 1)
Similarly, we can factorize 45 into prime factors as follows -
= 3 × 3 × 5 (15 × 3)
Thus, the greatest common factor of 15 and 45 is 15, so we can
= 15 × 1 = 15 and 15 × 3 is 45
Hence, we can write (15 + 45) as 15(1 + 3).
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easy algebra question below first correct answer gets brainliest
Answer:
3
Step-by-step explanation:
Easy pythagorean theorum question.
The law states that "A squared plus B squared, equals C squared."
A and B are the two sides that border the 90 degree mark.
C is the hypotenuse or the longest side/diagonal.
Since we know C and A (I chose to use A because why not) we can fill in the equation with what we know
2^2 + ?^2 = \(\sqrt{13^{2} }\)
So
4 + ?^2 = \(\sqrt{13^{2} }\)
Since the 13 is already squared in side of a root, it stays as 13
4 + x^2 = 13
4 - 4 + x^2 = 13 - 4
x^2 = 9
x^2 root = root of 9
x = 3
The missing side is 3.
Or you could use an online calculator xD
The ratio of peanuts to crackers is 2:5. If a bag contained 30 peanuts, how many crackers would the bag contain?
Answer:
12:30
Step-by-step explanation:
12:30 is the correct answer
You can divide 30 and 5 to get 6, and multiply the 2 by 6 so it'll be equal.
Hope it helped.
Eddie and Janice are buying school supplies. Eddie buys 5 notebooks and 6 binders for a total of $25.45. Janice buys 4 notebooks and 8 binders for $30.60. What is the cost of each item?
Answer:
Notebook $1.25
Binder $3.20
Step-by-step explanation:
5n + 6b = 25.45
4n + 8b = 30.6
Multiply the first equation by -4.
Multiply the second equation by 5.
Add the equations.
-20n - 24b = -101.8
20n + 40b = 153
16b = 51.2
b = 3.2
5n + 6(3.2) = 25.45
5n + 19.2 = 25.45
5n = 6.25
n = 1.25
Answer:
Notebook $1.25
Binder $3.20
Correct Answer Gets a Brainlest! + 15 points.
Answer:
Step-by-step explanation:
there were 370 children in the swimming pool