Answer:
8x - 40 > 200
Step-by-step explanation:
The angles are supplementary angles determine the measures of each
Answer:
Step-by-step explanation:
The angles are supplementary, so they add to 180.
x + (6x -2 ) = 180
7x = 182
x = 182/7 = 26 = m∠2
6(26) - 2 = 154 = m∠1
given a starting guess of to find a zero of the function , what is the linear approximation of used by the first step of newton's method? your answer should be of the form a*x b with two concrete numbers a and b, or an equivalent mathematical expression.
The linear approximation used by the first step of Newton's method can be expressed as: f(x) ≈ f(a) + f'(a) * (x - a)
The linear approximation used by the first step of Newton's method is given by the equation:
f(x) ≈ f(a) + f'(a) * (x - a)
Where:f(x) is the original functiona is the starting guessf(a) is the value of the function at the starting guessf'(a) is the derivative of the function at the starting guessx is the variable representing the updated guessIn other words, the linear approximation is produced by adding the derivative of the function at the initial guess and the difference between the updated estimate x and the starting guess a to the value of the function at the starting guess.
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in triangle abc, lines ad and bd are the angle bisectors of angle a and b and line de is parallel to line ab find the length of line de if perimeter of abde is 30 cm and ab is 12 cm
If the circumference of ABDE is 30 cm, then the length of the line DE is 6 cm.
The answer to the query is
ABDE's perimeter is 30 cm.
AB length is 12 cm.
Let DE ne length be "x"
Since DE and AB are parallel, the alternate interior angles theorem states that
∠ABE = ∠DEB and ∠BAD = ∠ADE.
Since AD is the angle that bisects ∠A,
∠DAB = ∠EAD
BE is the angle bisector of B, therefore
∠EBD = ∠ABE.
∠EAD = ∠ADE and ∠EBD = ∠BED as a result.
If AE = ED and ED = DB, the triangles ADE and EDB are therefore isosceles. AE = DE = DB = x, then.
Given that ABDE's perimeter is 30 cm,
therefore 12 + 3x = 30,
By finding the x,
=> 3x = 30 -12
=> 3x = 18
=> x = 6 cm.
Consequently, DE has a length of 6 cm.
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If you vertically compress the exponential function f(x)=2^x by a factor of 5, what is the equation of the new function?
The equation of the new function is:
\(g(x) = \frac{2^x}{5}\)
What is the equation of the compressed function?Here we have the function:
\(f(x) = 2^x\)
A vertical compression by a factor of 5 is written as:
\(g(x) = f(x)/5\)
Replacing the function f(x) we get:
\(g(x) = \frac{2^x}{5}\)
That is the equation of the new function.
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Jin measures the temperature outside to be 35°C. He needs to convert the temperature to degrees Fahrenheit.
Degrees Fahrenheit = StartFraction 9 Over 5 EndFraction Degrees Celsius + 32
Evaluate the formula for degrees Fahrenheit to solve the problem. Then check all that apply.
First, write down the formula.
Next, substitute 35 for C.
Now, use the order of operations to simplify.
Do the multiplication first.
Do the addition first.
35°C is 95°F.
35°C is 138.6°F.
Answer:
35°C is 95°FStep-by-step explanation:
Formula for Fahrenheit
F = 9/5C + 32If C = 35°
Then, by using the formula, we get:
F = 9/5*35 + 32 = 9*7 + 32 = 63 + 32 = 95°Answer:
A B C D F
Step-by-step explanation:
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What is the range of 2046, 971, 3113 1850
Answer:
2142
Step-by-step explanation:
The range is the difference between the biggest and smallest number so for this set it would be 3113-971=2142.
can someone help me? I can't get rid of this test and it won't let me do it, I really don't know what to do and my grades will start to go down because I can't do it. (sorry if none of this makes sense)
Answer:
Step-by-step explanation:
There is no question to help with? Maybe ask your teacher or computer guy.
The probability that it is Monday and that a student is absent is 3/100. Because there are 5 school days in a week, the probability that a randomly selected day of the school week is Monday is 1/5.
What is the probability that a student is absent given that today is Monday?
Enter your answer as a fraction in simplest form, formatted like this: 3/14
The probability that the student is absent is 3/20
What is Probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
The probability that the student will be absent and it will be on Monday is 3 /100.
The probability that it will be Monday is 1/5
Therefore the probability that the student will be absent any day is 3/100÷1/5 = 3/20
Since it is certain that it is Monday , the probability that it is Monday is 1.
Therefore, the probability that the student is absent on that Monday is 1 × 3/20 = 3/20
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Betsy was in a car accident. Her monthly insurance payment of $225 will now be increased by 25%. How much will her monthly payment now be?
A. $56.25
B. $275
C. $281.25
D. $270
Answer:
281.25 that is the answer
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
Answer:
28
Step-by-step explanation:
First add the Ks together into 2k to make that simpler, 2k(x) means the equation would be 2(5x-6) making it 10x -12. Then substitute 4 into x to get 10(4) -12 = 28
Answer: 28
Answer is 28.
Step-by-step explanation:
Use the given functions to set up and simplify. (k + k) (4) = 28.
Hope this helps =)
A house is located at the center of a circular lot, exactly 25 yards from the edge of the lot. How much fencing will the homeowner need to surround the entire lot?
A. 157
B. 200.96
C. 185
D. 78.5
The number of yards fencing the homeowner need to surround the entire lot is 78.5 yards. Therefore, the option D is the correct answer.
What is the circumference?The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre. A meridian is any great circle passing through a point designated a pole.
Given that, a house is located at the center of a circular lot, exactly 25 yards from the edge of the lot.
Here, d = 25 yards
Radius = 25/2 = 12.5 yards
We know that, the circumference of a circle = 2πr
= 2×3.14×12.5
= 78.5 yards
Therefore, the option D is the correct answer.
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The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5? 80 points
Answer:
1/29 (≈ 0.0345 if you want it in decimals)
Step-by-step explanation:
\(\frac{1}{2x3+3.4y}\) then plug in the numbers given
\(\frac{1}{2(2)3+3.4(5)}\)then simplify
2(2)3=4*3=12
3.4(5)=17
1 over 12+17
1 over 29
so the answer is \(\frac{1}{29}\) which is 0.0344827586207 in decimals depending on whar format you want
Hope this helps!
Solution:
Note that:
Given fraction: \(\frac{1}{2x(3) + 3.4y}\)x = 2y = 5Substitute the values into the fraction to find the solution.
\(\frac{1}{2x(3) + 3.4y}\)=> \(\frac{1}{4(3) + 17}\)=> \(\frac{1}{12 + 17}\)=> \(\frac{1}{29}\)The solution when x is two and y is five is 1/29.
One exterior angle of a regular pentagon has a measure of (2x)”. What is the value of x?
O x = 18
O x = 20
O x= 30
O x= 36
Answer:
x = 36°
Step-by-step explanation:
The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:
5 * 2x = 360
10x = 360
x = 36°
The value of x in the Pentagon is 36.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
The sum of the exterior angles of any polygon is 360 degrees.
Since a regular pentagon has 5 sides, the sum of its exterior angles is 360 degrees.
Each exterior angle of a regular pentagon has a measure of:
= 360 degrees / 5
= 72 degrees
We are given that one exterior angle of the pentagon has a measure of (2x) degrees.
2x = 72
Solving for x.
x = 36
Therefore,
The value of x is 36, and the measure of the given exterior angle.
= (2x)
= 72 degrees.
Thus,
The value of x is 36.
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(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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kenji mixes 1/5 clay soil with 1/8 bale of straw to make an Adobe brick how much soil will he need to use the whole bale of straw.
Clay soil = 1/5
bale of straw = 1/8
Clay soil needed = x
Bale of straw needed = 1
Clay soil : Bale of straw (rate)
1/5 : 1/8 = x : 1
1/5 ÷ 1/8 = x / 1
1/5 × 8/1 = x / 1
8/5 = x / 1
Cross product
8 * 1 = 5 * x
8 = 5x
Divide both sides by 5
x = 8/5
Complete the square and put this function in vertex form: f(x)=x^2+20x+96
Answer:
f(x) = (x+10)^2 - 4
Step-by-step explanation:
vertex form is y = a(x-h)^2+k
to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something
to find that number take 20, divide by 2, and then square it to get 100.
so, you would get f(x)+100 = x^2+20x+100+96
subtract 96 on both sides: x^2+20x+100 = f(x) + 4
factor: f(x) = (x+10)^2 - 4
Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
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Dr. Mann mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C to make 5 doses of medicine. What is the total amount of medicine mixed by Dr. Mann?
Answer:
Step-by-step explanation:
9.357
12.082
+7.052
28.491 g
A triangle with side lengths of 6 meters, 9 meters and 8 meters
A. No triangle
B. Unique triangle
C. More than one triangle
Answer:
B). Unique Triangle
Step-by-step explanation:
This lengths make a right triangle therefore it is unique.
Answer:
the answer is b. because if there is a 90 angle it is a unique triangle
Step-by-step explanation:
Need help with questions 2 and 3 please. Anyone? Please?
Answer:
2.
3.225, 3.219, 3.215, 2.9, 2.108
3.
3³, 8, sqrt 64, 22/5, 2 3/5, -0.53, -4/7, -2 2/3
Step-by-step explanation:
hope that it helps^^
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
60. Write the equation of a line through the point (-2,6) with a slope -5.
Answer:
y = - 5x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5 , then
y = - 5x + c ← is the partial equation
To find c substitute (- 2, 6 ) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = - 5x - 4 ← equation of line
pls help me plss!!!!!!
Answer: 9 divided by 5 = 1 and 4/5
Step-by-step explanation:
9 divided by 5 = 1 and 4/5
For the diagram, you will have one box completely full, and another 4/5 full.
The mortgage on your new house is $180,000. Your monthly mortgage payment is $839 for 30 years. How much interest will be paid if the house is kept for the full 30 years?
9514 1404 393
Answer:
$122,040
Step-by-step explanation:
The interest is the difference between the mortgage value and the total amount paid.
($839/mo)×(12 mo/yr)×(30 yr) -180,000 = $302,400 -180,000 = $122,040
$122,040 will be paid in interest.
If the radius of a circle is 2.6 inches, what is the diameter of the circle?
Answer:
5.2
Step-by-step explanation:
radius is half the diameter
Answer:
5.2in
Step-by-step explanation:
$240 is invested in an account earning 2.2% interest (APR), compounded
quarterly. Write a function showing the value of the account after t years,
where the annual growth rate can be found from a constant in the function.
Round all coefficients in the function to four decimal places. Also, determine
the percentage of growth per year (APY), to the nearest hundredth of a
percent.
Function: f(t)
Growth
=
% increase per year
Therefore , the solution of the given problem of percentage comes out to be the account's yearly percentage yield (APY) is 2.24%.
What is percentage?The abbreviation "a%" is used to indicate a value or number in statistics that is expressed as a percentage of 100. Versions with "pct," "pct," or "pc" as the initials are also rare. However, the most popular method to do this is to use the percentage symbol ("%"). Additionally, both hints nor a constant ratio of every element to the overall amount exist. Since numbers commonly add up to 100, they are essentially integers.
Here,
The following equation can be used to determine the worth of an account after t years, compounded quarterly:
=> A = P * (1 + r/4)⁴ⁿ
When we enter the numbers, we obtain:
=> A = 240 * (1 + 0.022/4⁴ⁿ
By condensing the solution, we obtain:
=> A = 240 * 1.0055⁴ⁿ
Consequently, the following is the function displaying the account's worth after t years:
=> f(t) = 240 * 1.0055⁴ⁿ
We can use the following formula to determine the yearly percentage yield (APY):
=> APY = (1 + r/n)ⁿ - 1
where r equals the 2.2% yearly interest rate.
n is the quantity of times interest is added annually. (4, since interest is compounded quarterly)
When we enter the numbers, we obtain:
=> APY = (1 + 0.022/4)⁴ - 1
APY = 0.02237 or 2.24% (rounded to the nearest hundredth of a percent)
As a result, the account's yearly percentage yield (APY) is 2.24%.
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Which statements are true? Select each correct answer. Responses Only some triangles are plane figures. Only some triangles are plane figures. All triangles are polygons. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 right angles. All triangles are closed figures. All triangles are closed figures. All triangles have 3 straight sides.
The three true statements are as follows:
All triangles are polygons.All triangles are closed figures. All triangles have 3 straight sides.What are the true statements?In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.
A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.
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helppppppppppppppp
Ginny and Bob are both locksmiths.
Ginny uses the function f(x)=60x+80 to determine the charge to her customers, where x represents the number of hours of labor.
The table shows what Bob charges a customer for x hours of labor.
x (hours) 0 1 2 3 4
cost ($) 60 140 220 300 380
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Ginny charges Response area for an initial fee, and Bob charges Response area for an initial fee. Response area charges less for an initial fee.
For the initial fee, Bob charges less than Ginny.
What is unit rate?A unit rate means a rate for one of something.
Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.
Ginny initial charge = $80
Bob initial charge =$60
Hence, For the initial fee, Bob charges less than Ginny.
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Please answer this somebody that’s good at math I have been posting this and nobody answered:(
Answer: 30 inches
Step-by-step explanation:
Length x Width x Height
Your length is 2, your height is 3 and your width is 5. So this means 2x3x5.
2 times 5 equals 10. 10 times 3 equals 30. Your answer is 30! Hope this helps you!