Answer:
144degrees
Step-by-step explanation:
In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.
Hope it helps
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in an hour
Answer:
Nina can run:
13 1/2 km in 1 hour
Step-by-step explanation:
4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2
proportions:
9/2 hours ⇔ 1/3 hour
N hours ⇔ 1 hour
N = (9/2)*1 / (1/3)
N = (9/2) / (1/3)
N = (9*3) / (2*1)
N = 27/2
27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2
Nina can run:
13 1/2 km/h
13 1/2 km in 1 hour
Answer:
13.5
Step-by-step explanation:
Step 1:
4 1/2 × 3 = 13 1/2
Answer:
13.5 kilometers
Hope This Helps :)
A watermelon is shot out of an air cannon and travels 22 yards. How many feet does the watermelon travel?Which conversion factor could you use to answer the question?A. 1 yard/3 feetB. 1 foot/3 yardsC. 3 yards/1 footD. 3 foot/1 yard
the factor is the division between feet and yards
so
\(\frac{3\text{feet}}{1\text{yard}}\)so, the option is C
which of the following are true? a. a bounded sequence is always less than some number m. b. a bounded sequence is convergent. c. a monotone sequence is bounded. d. a bounded and monotone sequence is convergent.
A bounded sequence is convergent.
A) Since Sequence means its range st is bounded then it's lower bound and upper bound exist.
Ler v be an upper bound of sequence then,
\({a_{n} } < v < m\) where m is any constant greater than v.
B) Let {\(a_{n}\)} be a sequence,
Since \(a_{n}\) goes to l, for all ε >0
such that \(| a_{n} - l |\) < ε
l - ε < \(a_{n}\) < l + ε
Here \(a_{n}\) is bounded which is convergent.
C) ) f(n) =N ( set of natural numbers) which is not bounded.
D) f(n) =N ( set of natural numbers)
Since f(n) is monotone increasing, which is not convergent.
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Enter an algebraic expression to model the given context. give your answer in simplest form. the price s of a pair of shoes plus 2% sales tax.
An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.
What is price?Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Let s represent the price of a pair of shoes.
Therefore, an algebraic expression which models the given context would be written as follows:
s + 0.02s = 1.05s.
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PPPPPPPPPPPPPPLLLLLLLLLLLLEAAAAAAAAAAAASSSSSSSSSSSSSSSEEEEEEEE
help me!
Answer:
(4,0)
Step-by-step explanation:
Both lines intersect, or cross, at one point on the graph, which is (4,0). Therefore, that point is a solution to the system of equations.
Hope this helps!
Need help with math question
What is 3=3x+2(-9x+9)-9
Answer:
x= 2/5
I suggest to always simplify if it's possible :)
Brittany deposited $3,000 in a new account at her bank.
The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.
Compound InterestGiven Data
Principal = $3000Rate = 6%Time = 3 yearsA = P + I where
P (principal) = $3,000.00
I (interest) = $573.05
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(3)
A = 3,000.00(1 + 0.06)^(3)
A = $3,573.05
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8 kg = _____ oz...
Need help
Answer:
282.19
Step-by-step explanation:
1kg = 35.27oz
35.27 x 8 = 282.19
ㄒɦĄŊĸ ĦØPĒ ĮŤ ɧėŁP ♡
Pls help I’ll give you 35 points
I need help on theses problems
Answer:
I attached my answer. please, check it.
When Mac was asked to duplicate Angle TAR, he used his protractor to measure angle TAR and then to make Angle MAC. Is his construction correct? Explain.
There is no image! Next time, use an image attached to your question. You can take a screenshot, or a picture of your screen with another device.
graph -3.8 and its opposite
Answer:
second small line to the right of -4 and the second smaller line to the left of 4
On a math test a student,Sarah, has to identify all the coefficients and constants of the expression . 6n+y+4 says that 6 is a coefficient and 4 is a constant. Identify all the coefficients and constants of the expression. What error Sarah might have made?
In the given expression 6n + y + 4 which 6 is a coefficient, y is a variable, and 4 is a constant.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
6n + y + 4
As per the question, Sarah says that 6 is a coefficient and 4 is a constant.
Thus, the error she might have made is confusing the variable y with the coefficient 6.
In the expression 6n + y + 4, 6 is a coefficient, y is a variable, and 4 is a constant.
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f(4)=
if g(x)= 2, x=
Answer:
Hey there! The answer to your question is below.
Step-by-step explanation:
The answer would be f(4) = -11, g(x) = 2 x = 0
I attached a picture below, sorry for my bad handwriting.
By xBrainly
can someone help???
what does scott omit from his analysis that irwin argues is a necessary component of a full accounting impact of a trade deficit on american jobs?
Scott's analysis of the impact of trade deficits on American jobs fails to consider the macroeconomic effects of trade deficits on domestic employment.
Irwin argues that Scott's analysis is incomplete as it ignores the long-term impact of trade deficits on employment. Scott's analysis is limited to looking at the short-term effect of trade deficits on the number of jobs lost or gained in certain industries.
He argues that trade deficits do not necessarily lead to a net loss of jobs in the economy, as the money saved by consumers through lower prices can be spent elsewhere, creating new jobs in other sectors.
However, Irwin argues that this analysis misses the bigger picture. Irwin suggests that trade deficits can lead to a long-term decline in the manufacturing sector, which can have significant negative consequences for domestic employment. Trade deficits can lead to a decrease in demand for domestically produced goods, as foreign competitors offer lower-priced alternatives. This can lead to a reduction in domestic production and employment in the affected industries.
Furthermore, Irwin argues that trade deficits can have a negative impact on the economy as a whole. Trade deficits can lead to a decrease in the value of the dollar, which can increase inflation and reduce consumer purchasing power. This, in turn, can lead to a decrease in demand for goods and services, which can negatively impact employment across multiple sectors.
In conclusion, Scott's analysis of the impact of trade deficits on American jobs is incomplete, as it fails to consider the long-term macroeconomic effects of trade deficits on domestic employment. Irwin argues that a full accounting of the impact of trade deficits on American jobs must take into account the potential negative consequences on the manufacturing sector and the economy as a whole.
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Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 3²³i - 3tj + 5t³k (a) r'(t) 3ti - 3j+5/1²k (b) r"(t) 3i+5tk 9t + (d) r'(t) r"(t) . 25 2 2 I r'(t) x r"(t) - -
The vector function r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). is
(a) r'(t) = 3ti - 3j + 15t²k
(b) r"(t) = 3i + 15tk
(c) r'(t) · r"(t) = 9t - 45t²
(d) r'(t) x r"(t) = -90t²i - 45tj - 9k
To find the derivatives of the vector function r(t) = 3²³i - 3tj + 5t³k, we differentiate each component of the vector with respect to t.
(a) To find r'(t), we differentiate each component separately:
r'(t) = (d/dt)(3²³i) - (d/dt)(3tj) + (d/dt)(5t³k)
= 0i - 3j + 15t²k
= 3ti - 3j + 15t²k
(b) To find r"(t), we differentiate each component of r'(t) with respect to t:
r"(t) = (d/dt)(3ti) - (d/dt)(3j) + (d/dt)(15t²k)
= 3i + 0j + 15tk
= 3i + 15tk
(c) To find r'(t) · r"(t), we take the dot product of r'(t) and r"(t):
r'(t) · r"(t) = (3ti - 3j + 15t²k) · (3i + 15tk)
= 9t - 45t²
(d) To find r'(t) x r"(t), we take the cross product of r'(t) and r"(t):
r'(t) x r"(t) = (3ti - 3j + 15t²k) x (3i + 15tk)
= -90t²i - 45tj - 9k
In summary, r'(t) = 3ti - 3j + 15t²k, r"(t) = 3i + 15tk, r'(t) · r"(t) = 9t - 45t², and r'(t) x r"(t) = -90t²i - 45tj - 9k.
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proving triangle similarity
could someone explain this to me? kinda confused
Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.
What is the AA Similarity Theorem?The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.
With the information given, the proof that shows that the two triangles are similar as as follows:
Statements Reasons
1. ∠QPR ≅ ∠STR 1. Given
2. QR ⊥ PT 2. Given
3. ∠QRP ≅ ∠SRT 3. def. of perpendicular
4. ΔPQR ~ ΔTSR 4. AA Similarity Theorem
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solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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whats 78,563 divided by 98
Ty for whoever helps me <3
Answer:
801.66
Step-by-step explanation:
calculator
Answer:
801.6632653061
Step-by-step explanation:
.......
A minimum element is deleted from a (min) binary heap with N elements. The running time worst case of this operation is
a. O(N)
b. O(N2)
c. O(logN)
d. O(NlogN)
The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).
What happens when deleting minimum element?When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.
Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.
Therefοre, the cοrrect answer is c. O(lοgN).
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Plzzz I need help with this question I tried to solve it many times but I can't
Let x represents a length in cm where x > 1.5.
AB = 2x – 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Sj.
• CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1, S2 and S3 in terms of x.
2) Let S = Si + S2 - Sz.
a) Show that S = (2x - 3)(5x - 9).
b) For what values of x, the areas of AFGC and ADEB are equal?
c) Expand and reduce S.
d) What is the value of x, so that the area of AFGC exceed the area of ADEB by 27?
Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: \(A1=\frac{(base)(height)}{2}\)
Area of a rectangle is calculated as: \(A2=(side)(side)\)
Area of a right trapezoid is: \(A3=\frac{(a+b)h}{2}\), where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:
\(S1=\frac{(2x-3)(4x-6)}{2}\)
\(S1=4x^{2}-12x+9\)
Area of rectangle S2:
\(S2 = (4x-6)(3x-2)\)
\(S2=12x^{2}-26x+12\)
Area of trapezoid S3:
\(S3=\frac{(2x+3+4x+1)(2x-3)}{2}\)
\(S3=\frac{(6x+4)(2x-3)}{2}\)
\(S3=6x^{2}-5x-6\)
2) a) \(S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)\)
\(S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6\)
\(S=10x^{2}-33x+37\)
Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:
\(\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}\)
\(\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}\)
\(32x^{2}-48x-28x+42=12x^{2}+8x-18x-12\)
\(20x^{2}-66x+54=0\)
Using Bhaskara to solve the second degree equation:
\(\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}\)
\(x_{1}=\frac{66+6}{40}\) = 1.8
\(x_{2}=\frac{66-6}{40}\) = 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:
\(S=(2x-3)(5x-9)\)
\(S=10x^{2}-18x-15x+27\) (expand)
\(S=10x^{2}-33x+27\) (reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:
\(32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27\)
\(32x^{2}-48x-28x+42=12x^{2}+8x-18x+15\)
\(20x^{2}-66x+27=0\)
Solving:
\(\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}\)
\(\frac{66+46.86}{40}\)
\(x_{1}=\frac{66+46.86}{40}=\) 2.82
\(x_{2}=\frac{66-46.86}{40}\) = 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82
!!!PLEASE ANSWER VERY QUICKLY I AM TIMED!!!
Suppose that 14 inches of wire costs 70 cents. At the same rate, how much (in cents) will 37 inches of wire cost?
Answer:
Step-by-step explanation:
2590
what is the rate of change of y=9x
Answer:
0,9 maby this is awser
Step-by-step explanation:
plz tell me if this helps
Which graph represents y=x?
Answer:
the first one is correct
Step-by-step explanation:
can someone please help
Answer:
now I will not help you later I will help you If you follow back MI and already I have follow you
La tanya buys 4 yards of blue fabric and 7 yards of green fabric. the blue fabric costs $3 more per yard than the green fabric. she pays a total of $122. write an equation and let x represent green
The cost of one yard of green fabric is $10.
Let's assume that the cost of one yard of green fabric is represented by the variable x. Since the blue fabric costs $3 more per yard, the cost of one yard of blue fabric can be expressed as (x + $3).
La Tanya buys 4 yards of blue fabric, so the total cost of the blue fabric is 4(x + $3). She also buys 7 yards of green fabric, so the total cost of the green fabric is 7x.
The total cost of the fabrics is given as $122, so we can set up the equation:
4(x + $3) + 7x = $122
Simplifying the equation:
4x + $12 + 7x = $122
11x + $12 = $122
11x = $122 - $12
11x = $110
Dividing both sides by 11:
x = $110 / 11
x = $10
Therefore, the cost of one yard of green fabric is $10.
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A pound of swiss cheese costs $4.00 at the grocery store. Use the
fact that 16 ounces = 1 pound to help you find the cost of 5/6 pound
of swiss cheese. pls help ASAP
Answer:
3.
..2330
Step-by-step explanation:
What is the slope of the line joining (8,8) and (12, 6)?
1)-2
2) - 1 / 2
3) 1/4
4) 1 / 2
Answer:
\( \huge \boxed{ \boxed{ - \frac{1}{2} }}\)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question we have
\(m = \frac{6 - 8}{12 - 8} = - \frac{2}{4} = - \frac{1}{2} \\ \)
We have the final answer as
\( - \frac{1}{2} \\ \)
Hope this helps you
mobile phone weighs 110g to 2 sig. fig.
its put in a protective case that weighs 15.4g to 1 d.p
work out the smallest possible weight, in grams (g), of the phone and the case combined
Answer:
Below.
Step-by-step explanation:
Smallest possible weight of the phone = 105 g.
Smallest possible weight of the case = 15.35 g
Answer is 120.35 g.