In this diagram, line I, line m, and line n are parallel and intersected by a transversal.
Based on this diagram and the angle labeled 73°, which statement is true?
A) The value of x is 17 because the two angles are complementary
B) The value of x is 73 because the two angles are equal.
C) The value of x is 107 because the two angles are supplementary.
D) The value of x is 146 because one angle is twice the other angle.
Answer:
b
Step-by-step explanation:
100 points! compute the modulus and argument of each complex number 2(cos2pi/3+isin2pi/3)
Step-by-step explanation:
For a number,
[tex]r( \cos(x) + i sin(x))[/tex]
r is the modulus and
x is the argument
So here.
r is 2.
x is 2 pi/3
So the modulus is 2
the argument is 2 pi/3
Answer:
Modulus: 2
Argument: 2 pi/3
Step-by-step explanation:
A P E X
What are two reasons for the creation of a petty cash fund?
QUICK BRAINLIEST
what is the area of the triangle base, height of the box and the width
Answer:
33800
Step-by-step explanation:
You have to multiply all the sides in order to get the answer.
13cm x 10cm = 130cm
130cm x 20cm = 2600cm
2600cm x 13cm = 33800
. What is the product of √2x • √12500?
[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]
5-16 Find the general indefinite integral.
16. [tex]\int \frac{\sin 2 x}{\sin x} d x[/tex]
I assume the integral is
[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx[/tex]
Simplify the integrand:
[tex]\sin(2x) = 2\sin(x)\cos(x) \implies \dfrac{\sin(2x)}{\sin(x)} = 2\cos(x)[/tex]
Then the indefinite integral is
[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx = 2 \int \cos(x) \, dx = \boxed{2 \sin(x) + C}[/tex]
652,951 rounded to the nearest thousand? Please hurry fast!!!!
Bartering was an early way that people _____
Answer: hii
Exchanged a good or service directly for a good or service
Step-by-step explanation:
Bartering was an early way that people... Exchanged a good or service directly for a good or service.
Hopefully this helps you
- Matthew
Bartering was an early way that people exchanged goods.
☆Explanation:In earlier times money was not there,so people used to follow a system in exchange of goods. This system was known as barter system. In barter system commodities were exchanged against commodities. ¤ Example:-Let's imagine a situation between "A" and "B". Suppose "A" wants rice and have sugar. On the other hand "B" has rice and he wants sugar. So,there will be exchange between "A" and "B" where "A" will give sugar to "B" and "B" will give rice to "A".
This procedure of exchanging goods is known as barter system.Hope it helpshelp???????????????????????????????
Answer:
a) - y = 30°,x = 70°
b)- y = 105°,x = 75°
c)- x = 25°
d)- x = 116°
Step-by-step explanation:
a) =
80 + 70 + y = 180 (co-interior angles)
or, y = 180 - 150
so, y = 30°
Now,
x = 70° (alternate angles)
b) =
y + 75 = 180° (co-interior)
(y = angle which is supplement to 75)
y = 180° - 75°
so, y = 105°
Now,
x + y = 180° (co-interior angles)
or, x = 180° - 105°
so, x = 75°
c)=
180° - 5x = 55° (corresponding angles)
or, 5x = 180° - 55°
or, 5x = 125°
or, x = 125°/5
so, x = 25°
d)=
64° + x = 180° (co-interior angles)
x = 180° - 64°
so, x = 116°
Answer:
See below ~
Step-by-step explanation:
a)
80 + 70 + y = 180 [co-interior angles are present]y + 150 = 180y = 30°x and 70° are alternate angles ⇒ x = 70°b)
y + 75 = 180° [Check line 1 of (a)]y = 105°x + y = 180° x + 105° = 180°x = 75°c)
55° + 5x = 180° [Angle adjacent to 55° corresponds to (5x)°]5x = 125°x = 25°d)
64° + x = 180° [Check line 1 of (a)]x = 116°Is 5,000 cm greater than 5m
Answer:
Yes
Step-by-step explanation:
5,000 cm = 50m
[tex]\frac{1m}{100cm} =5000cm[/tex]
[tex]\frac{1m(5000)}{100}[/tex]
[tex]\frac{5000m}{100}[/tex]
= 50 m
hope this helps :)
how to solve the answers
Answer:
divide what is on the right hand side of the equal sign by what is next to x or y
Step-by-step explanation:
e.g.
2x=3
x=3/2
fraction:3/2
decimal: 1.5
Answer:
divide what is on the right hand side of the equal sign by what is next to x or y
Step-by-step explanation:
Consider the function f(x)=x^2+bx−21, where b is a constant. If the function has an axis of symmetry at x=2, what is the value of b?
Answer:
2x+b
Step-by-step explanation:
f(x)=x
2
+bx−21
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax
n
is nax
n−1
.
2x
2−1
+bx
1−1
Subtract 1 from 2.
2x
1
+bx
1−1
Subtract 1 from 1.
2x
1
+bx
0
For any term t, t
1
=t.
2x+bx
0
For any term t except 0, t
0
=1.
2x+b×1
For any term t, t×1=t and 1t=t.
2x+b
Which survey question could have been asked to produce this data display?
What is the length and width of your favorite book?
How many pages are in your longest book?
How thick is the thickest book in your book collection?
How many books have you read that were at least 112 inches thick?
Line plot titled Books. The number line is labeled Thickness in inches and goes from 1 and 1 half to 4 by halves. There are 2 marks above 1 and 1 half, 3 marks above 2, 1 mark above 2 and 1 half, 1 mark above 3, 1 mark above 3 and 1 half, and 1 mark above 4.
Your answer would be 'How thick is the thickest book in your book collection?'
Answer:
how this is the thickest book
Step-by-step explanation:
i took the quiz and got it correct your welcome
Find 3- 2 miles on a plane ✈️ drive to a park or a walk to your destination to find your friends or something to stop ✋ and get back in the service to stop ✋ fast traffic will go out of town next time we get off on time for your convenience to stop ✋ traffic at your house and your service stop ✋ fast your order was not delivered at your convenience shop where we were seated your food is ready for delivery and you will be in a booth by your office in a minute and a few more times your food will arrive in a minute.
Answer:
?
Step-by-step explanation:
b/4 + 2 = 1 slove for b
Step-by-step explanation:
b/4 = 1-2
b/4 = -1
4 × b/4 = -1 × 4
b = -4
You invest $5000, add $25 each month, at 7.9% for 11 years.
Answer:
(5,000+(132 months × 25))×0.079 = 655.7
so at the end of 11 years you have:
$8,300 + interest= 8955.7
Distance between -3,-2 and 5,2
We can find the distance between two points by using distance formula,
[tex] \qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}[/tex]
Here,
x₁ = -3
x₂ = 5
y₁ = -2
y₂ = 2
Therefore,
[tex] : \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }
\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16}
\\ \\ : \implies \: D = \sqrt{80} [/tex]
Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).
To find :-
The distance between 2 points
Given :-Here we have been provided 2 points
(-3, -2) and (5, 2)
Solution :-[tex] (x_1,y_1) = (-3,-2) \\ (x_2,y_2) = (5,2) [/tex]
Formula to find distance is
[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } [/tex]
[tex] = \sqrt{ {(5 - ( - 3))}^{2} + {(2 - ( - 2))}^{2} } \\ = \sqrt{ {(8)}^{2} + {(4)}^{2} } \\ = \sqrt{64 + 16} \\ = \sqrt{80} \\ = 4 \sqrt{5} [/tex]
Result :-The distance between 2 points is 4√5.
[tex] \mathcal {BE \: \: BRAINLY} [/tex]
Rationalize denominator
Answer:
[tex]\huge\boxed{\bf\:2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{3 + \sqrt{7}}[/tex]
Rationalise the denominator by multiplying the numerator & denominator of the fraction with [tex](3 - \sqrt{7})[/tex].
[tex]\frac{4\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}[/tex]
Now, we an see that the denominator is in the form of the algebraic identity: (x + y) (x - y) = x² - y². So,
[tex]\frac{4\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}} \\= \frac{4\left(3-\sqrt{7}\right)}{9-7} \\= \frac{4\left(3-\sqrt{7}\right)}{2} \\[/tex]
The new denominator is 2.
[tex]\rule{150pt}{2pt}[/tex]
Answer:
Option D. 2
Step-by-step explanation:
Hello!
To rationalize the denominator, we should multiply the numerator and the denominator by the conjugate of the denominator. The conjugate simply means the same terms but with the opposite operation.
Rationalize[tex]\frac4{3+\sqrt7}[/tex][tex]\frac4{3+\sqrt7} * \frac{3 - \sqrt7}{3 - \sqrt7}[/tex][tex]\frac{12 - 4\sqrt7}{9 - 7}[/tex][tex]\frac{12 - 4\sqrt7}{2}[/tex]The new denominator is 2.
Help solving this problem
Answer:
A=0.50
B=0.477
C=0.423<p<0.531
Step-by-step explanation:
sample size N :333
number of success X: 159
sample part of success x/n = 159/333
x=0.477 B
0.50 A Half a chance to flip a tail or head
part C:
[tex]0.477 plusminus 1.96 * \sqrt{ \frac{0.477 (1 - 0.477)}{333} } [/tex]
simplify
[tex]0.477 plusminus 1.96 * 0.0536[/tex]
expand
[tex]0.477 + 1.96 * 0.0536[/tex]
[tex]0.531[/tex]
expand minus
[tex]0.477 - 1.96 * 0.0536[/tex]
[tex]0.423[/tex]
finally answer part c
[tex]0.423 < p < 0.531[/tex]
Simplify: sin^2xcos^2x-cos^2x
Answer:
-cos^4(x)
Step-by-step explanation:
Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)
1-sin^2(x) = cos^2(x)
-1+sin^2(x) = -cos^2(x)
cos^2(x) (-cos^2(x))
Step 2: Factor out common terms cos^2(x)
cos^2(x) (sin^2(x)-1)
Ans: -cos^4(x)
in a survey 15 high school students said they could drive 15 said they could not out of 60 college student survey 30 said They Could Dr., Micah concluded that if someone is in college that means in person is more likely to drive is is is micahs conclusion correct explain
no it's not correct
50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...
50% can drive and 50% cannot drive
hope it helps...!!!
Find the area of the shaded region
Answer:
68 units sq
Step-by-step explanation:
You have to find the total area of all the shapes and subtract the unshaded.
(9 + 17) * 8 / 2, formula
26 * 4 = 104
Then find the unshaded part
9 * 8 / 2
9 * 4
= 36
104 - 36 = 68
Answer:
68
Step-by-step explanation:
The formula of a trapezoid is [tex]A = \frac{a+b}{2} h[/tex]
Use the values given in the equation:
[tex]A = \frac{17+9}{2} *8[/tex]
A = 13*8
A=104 (This the area of the overal trapezoid)
To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36
Then subtract 36 from 104 and you get 68
If f(x) = 2x^3- 2x^2 - 14x + 30 and x + 3 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Apply the long division to find that there is only 1 real root
Find the area of the shaded region
12 cm
- 4 cm
9 cm
What is the square root of (144/169)+(25/169) first 144/169+25/169 then square root of that
Answer:
1
Explanation:
Answer:
The square root of (144/169)+(25/169) is 1
Step-by-step explanation:
[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]
[tex]\sqrt{1} =1[/tex]
hope this helps :)
Find the determinant of the matrix.
[tex]\left[\begin{array}{ccc}0&4\\0&4\end{array}\right][/tex]
Answer:
0
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]
0(4)-4(0) = 0
please help me with these questions , thank you
Answer:
1. 4[tex]x^{3}[/tex] + 26x² + 4x - 48
2. 2[tex]x^{3}[/tex] - 23x² + 60x - 32
3. [tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
4. 2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4[tex]x^{3}[/tex] + 2x² -8x + 6(4x² + 2x -8)
4[tex]x^{3}[/tex] + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4[tex]x^{3}[/tex] + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2[tex]x^{3}[/tex] - 7x² + 4x + (-8)(2x² - 7x + 4)
2[tex]x^{3}[/tex] - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2[tex]x^{3}[/tex] - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x([tex]x^{4}[/tex] + 7x² - 4) + 2([tex]x^{4}[/tex] + 7x² - 4)
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2([tex]x^{4}[/tex] + 7x² - 4)
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
No like terms to combine, so:
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3) + 4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)
2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x + 4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)
2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x + 8 [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 12
Combine like terms:
2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12
hope this helps!
June is baking cupcakes for her birthday party. She has enough batter to make 16 chocolate cupcakes and 8 strawberry cupcakes. What fraction of the cupcakes is chocolate?
The cost of a train ticket increases by
17% and now costs £7.20.
How much did it cost before the
increase?
It costs $122.4 dollars before the increase.
How to calculate percentage of a number. Use the percentage formula: P% * X = YConvert the problem to an equation using the percentage formula: P% * X = Y.P is 17%, X is 7.20, so the equation is 17% * 7.20 = Y.Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Therefore, It costs $122.4 dollars before the increase.
Learn more about Finding the Percentage here:
https://brainly.com/question/24862040
A city has a population of 400,000 people. Suppose that each year the population grows by 6.25%. What will the population be after 15 years?