Answer:
2⁶
Step-by-step explanation:
law of indices states multiplication of powers in and out of bracket 3×2=6
[tex]\text{Let's work out:: 2 to the power of 3 to the power of 2 }\\\text{We can start by raising 2 to the power of 3:: 2*2*2=8, then raising that}\\\text{to the power of 2:: 8*8=64}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{The value is 64}[/tex]
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The measure of angle N is (3x + 18) degrees . The measure of angle B is (2x + 142) degrees. If angle N is the supplement of angle B, what is the measure of the two angles?
Answer:
N: 30 B:150
Step-by-step explanation:
Supplementary angles add up to 180 meaning their equations must also add up to 180:
(3x + 18) + (2x + 142) = 180
Solve for x:
5x + 160 = 180
5x = 20
x = 4
Substitute 4 in all values of x to obtain the measure of the two angles:
N: 3(4) + 18 = 30
B: 2(4) + 142 = 150
Help me please I need this for tomorrow please please
A car travels ¹/4 mile in ³ minutes, what 4 is its speed in terms of miles per minutes? A car travels ¹ / 4 mile in ³ minutes , what 4 is its speed in terms of miles per minutes ?
Answer:
1/12 mile per minute
Step-by-step explanation:
1/4 mile in 3 minutes
then miles per minute is 1/4 mile / 3 min = 1/12 mile/min
Please helpppp !!!!!
Answer:
The answer is A
simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Given:
(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)
Now,
5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)
=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7
= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³ - 10x² + 35x + 2x - 7
= 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6
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pls answerthanks for your help
Please can someone help me on this I’m trying to revise for my test and I don’t understand this question
Answer:
∠ EAB = 85°
Step-by-step explanation:
∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so
∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°
the sum of the 3 angles in Δ ADC = 180° , that is
∠ EDC + ∠ BCD + ∠ EAB = 180°
63° + 32° + ∠ EAB = 180°
95° + ∠ EAB = 180° ( subtract 95° from both sides )
∠ EAB = 85°
Answer:
first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;
[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]
next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰
Solve the equation 7(w +13) = 35.
) What is the value of w?
Answer: -8
Step-by-step explanation:
7(w+13)=35 [given]w+13=5 [divide both sides by 7]w = -8 [subtract 13 from both sides]Answer:
7(w+13)=35
7w + 91 =35
7w=35-91
7w= -56
7w/7 = -56/7
w=-8
Riley has 51/4 cups of chocolate chips, she needs ¾cup of chocolate chips to make one batch of cookies. how many batches of chocolate-chip cookies can Riley make
Answer:
17 batches
Step-by-step explanation:
51/4 ÷ 3/4 = 51/4 x 4/3
=17
PLEASE HELP ASAP!!!!
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
____ + ________ = 1, where the x is on the interval _______
options:
(x-2)^2/9
(x+2)^2/9
(x-1)^2/4
(x+1)^2/4
(y-2)^2/9
(y+2)^2/9
(y-1)^2/4
(y+1)^2/4
[-3,3]
[-3,1]
[-2,2]
[-1,5]
The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let's consider the following trigonometric identity:
Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1
Each trigonometric function is cleared respectively in given parametric equations:
[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and [tex]Sin\theta =\dfrac{y+1}{2}[/tex]
The equivalent expression in rectangular form is:
[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]
Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
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What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
What is an Octagon ?A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
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A rectangle has a
perimeter of 20 cm.
Its longest side is 6 cm.
What is its area?
Answer:
[tex]\boxed {24 cm^{2}}[/tex]
Step-by-step explanation:
Finding the smaller side :
⇒ P = 2(l + w)
⇒ 20 = 2(6 + w)
⇒ 6 + w = 10
⇒ w = 4 cm
Finding area :
⇒ 6 × 4
⇒ 24 cm²
Which expression is a factor of this polynomial? x^3 + 2x^2 - 9x - 18
A (x+2)
B (x+1)
c (x-2)
d (x-6)
Answer:
(x+2)(x-3)(x+3) this is ans
Answer:
a. (x + 2)
Step-by-step explanation:
x^2(x + 2) - 9(x + 2)
(x + 2)(x^2 - 9)
(x + 2)(x - 3)(x + 3)
Therefore the answer is (x + 2)
Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²
Answer:
3x²
Step-by-step explanation:
1 triangle is 1/2x²
2 triangles are x²
rectangle below is 2 squares
rectangle below is 2x²
x² + 2x² = 3x²
is the square root parent function.
OA. F(x)=√x + 1
OB. F(x)=√x
O C. F(x) = x
OD. F(x) = x²
Find the missing length given that GH is a midsegment of the trapezoid. Base 42 and midpoint 26
The missing length is 14 unit.
The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.
In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )
Here, The midsegment GH is given by 26.
One of the bases = 42
Let, another base be x
Then we have to use the formula of mid segment to find the another base of the trapezoid
∴ GH = 1/2 × (42+x)
⇒ 26 = 1/2 × (42+x)
⇒ 56 = 42+x
⇒ x = 56-42
⇒ x = 14
So, the missing length = 14 unit
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What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
Ox= 1/12, X
Ox=
1
21
X =
34
0x = -1/², x=-1
Ox= = 1/², x = -1/3
2
Answer:
x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(2x - 1)(3x + 4) = 0
equate each factor to zero and solve for x
2x - 1 = 0 ( add 1 to both sides )
2x = 1 ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex]
and
3x + 4 = 0 ( subtract 4 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - [tex]\frac{4}{3}[/tex]
So
2x-13=02x=13x=13/2And
3x+4=03x=-4x=-4/3Please Help!
The manager of a home electronics store is considering re-pricing a new model of digital camera. At the current price of $680, the store sells about 70 cameras each month. Sales data from other stores indicate that for each $20 decrease in price, about 5 more cameras would be sold. The table shows some x and y values; where x is the number of price decreases and y is the revenue.
a) How many price decreases should the manager apply?
b) What price produces the maximum revenue?
c) What is the maximum revenue?
The reduction in price that will be applied is $200.
How to calculate price?From the given information, the price function will be:
P - 680/(680 - 660) = (Q - 70)/(70 - 75)
P = -4Q + 960
Revenue will be:
= Price × Quantity
= (-4Q + 960)Q
= 4Q² + 960Q
Differentiating this will be Q = 120
Price will be:
= (-4 × 120) + 960
= 480
The reduced price will be:
= 680 - 480
= 200
The maximum revenue will be:
= 480 × 120
= 57600
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the greatest common factor of 6x^2-8+22 is?
The greatest common factor for the numerical part will be 2.
How to find Greatest common factor?The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.
We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.
Those will together compose GCF(The greatest common factor).
Given;
[tex]6x^2-8+22[/tex]
Since the expression contains both numbers and a variable part.
For numerical parts 6, -8, 22
The factors are
6 = -6, -3. -2, -1,1, 2, 3 , 6
8 = -8, -4, -2, -1,1, 2, 4, 8
22 = -22, -11, -2, -1,1, 2, 11, 22
The greatest common factor for the numerical part will be 2.
The number part does not contain any common variable factor.
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A coordinate grid with a line passing through the points (negative 4, negative 4), (0, negative 2), and (4, 0).
What is the equation of the line in point-slope form?
An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,
m = (-2 - 0)/(0-4)
m = -2/-4
m=1/2
m = 0.5
The equation now in point slope form can be written as,
(y+2) = 0.5(x+0)
y+2=0.5x
Hence, the equation of the line in point-slope form is y+2=0.5x.
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I want to know the answer quick
Answer:
[tex]\fbox {B. Exponential Decay}[/tex]
Step-by-step explanation:
As the exponent is applied to a number less than 1, the future values of the function f(x) will become smaller and smaller. Hence, it represents exponential decay.
it takes two painters 4 days to complete a job. How long does does 1 painter take for the same job?
Answer:
Eight days in total.
Step-by-step explanation:
If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)
Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.
If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?
Step-by-step explanation:
if7=25
therefore??=20
Cross multiply
7 multiply 20 and then divide by 25
=28/5
5.6
round off it will be 6
hope it helps
What is another way to label KF? What is another point that is on Line AC? Are points A and D collinear? Are points E,D, and K coplanar? (Giving 40 points)
Coplanar points are those that are all in the same PLANE. The other point that lies on line AC is B.
What are Collinear Points and Coplanar points?Collinear Points: Points are collinear if they are all in the same straight line.
Coplanar points: Coplanar points are those that are all in the same PLANE.
A.) Another way to label KF is F K.
B.) The other point that lies on line AC is B.
C.) Yes, Any two points can form a line, thus, A and D are colinear.
D.) Coplanar points are those points that lie in the same place. Although D and K lie on the same plane,j; the point E does not lie on the same plane. Thus, points E, D, and K are not coplanar points.
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Is this correct? If not then whats the answer?????
(image below)
What's your annual income if you're unemployed?
Answer:
$46,819 is the average unemployed salary
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
___ cm^2
Answer: 43.5
Step-by-step explanation:
[tex]A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}[/tex]
Here is a table giving the number of US households (in thousands) in 2013 by tenure and insurance status:
Insurance status
Owns home
Rents home
Insured
71
13
Uninsured
5
27
Find the marginal distribution of tenure in counts.
Owns home:
Rents home:
The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
For the given data the table can be made as shown below. The marginal distribution of tenure in counts can be calculated as,
Owns home = 71 + 5 = 76
Rents home = 13 + 27 = 40
Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.
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Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.
The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
How to determine the probability?In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
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Evaluate if: A= -3 , B= -4, and c= 2/3
1. ABC - 15
2. B/C-|A|
(Pic included, must show work asap!)
Answer:
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