Answer: 314
Step-by-step explanation: Just google it
Find x when
-1/2
+
X
=
-21/4
Answer:
-19/4
Step-by-step explanation:
-1/2 + x =-21/4
x=-21/4+1/2
x=-21/4+2/4
x=-19/4
One hundred examiners each marking eighty scripts per day are needed to mark an examination in fourteen days.How many days would two hundred examiners each marking forty scripts per day take to mark the same examination?
Answer:
SOS
Step-by-step explanation:
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series, 9 November for a January series and 30 March for a June series.
2 sin^2 + sin x - 3 = 0
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
I think of a number and I add one and then I double it
Answer:
I think of a number "4"
4+1 = 5
then 5+5 or (5X2) = 10
Step-by-step explanation:
Hope this helped :)
calculo la superficie de las figuras sabiendo que cada cuadrado mide 5m2
An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measurements, l e n g t h equals 4 space cube root of 24 f t space a n d space w i d t h equals 6 space cube root of 3 space f t , and asked to find the exact area (no decimals) of the rectangular region they would be working with. Show the equation and all work needed to find the exact area in simplest form. Be sure to write a sentence explaining your answer. Don’t forget the label! Note: we want the exact area, which is not a decimal. Instead, provide the answer in simplest radical form.
Answer:
48∛9 ft²
Step-by-step explanation:
The length (L) and width (W) are given by:
[tex]L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}[/tex]
Since this is a rectangular region, the area is given by:
[tex]A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2[/tex]
The answer can be further simplified by factoring as follows:
[tex]A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2[/tex]
The exact area is its simplest form is 48∛9 ft²
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer:
Step-by-step explanation:
[tex]A = lw \nl\frac{\dA}{\dt}[/tex] =[tex]\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}[/tex] =[tex]w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}[/tex] [tex]\nll = 20 \text{ cm}[/tex] \;\; [tex]\frac{\text{d}l}{\dt} = 8 \text{ cm/s}[/tex] \;\;w = 10 \text{ cm}, \;\; [tex]]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}[/tex] [tex]\nl\frac{\dA}{\dt} =( 10 \text{ cm} )( 8 \text{ cm/s} ) + ( 20 \text{ cm} )( 3 \text{ cm/s} ) =140 \text{ cm}^2\!\text{/s} [/tex]
Given :
The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 8 cm and the width is 5 cm .To find :-
how fast is the area of the rectangle increasing?Solution :-
As we know that :-
A = lbTo find the rate :-
d(A)/dt = d(lb)/dt .Differenciate :-
dA/dt = l (db/dt ) + b (dl/dt )Substitute :-
dA/dt = 8*8 + 5*4dA/dt = 64 + 20 cm²/s dA/dt = 84 cm²/sA flat object with two sides, one colored red (R), the other green (G), is tossed 2 times. List all possible outcomes of the experiment.
Answer:
3 possible outcomes
Step-by-step explanation
1) R R
2) R G
3) G G
What are the solutions to this equation?
Answer:
It would be (1) 5/4 and -5
4x^2+15x-25+0
Answer: (1) 5/4 and -5
I had this in school and i got this right
Hope i helped
have a nice day
An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.Weight (pounds), x Miles per Gallon, y3648 163847 172709 253550 183286 202922 233654 172533 253427 183809 173372 19A) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.y with caret = ___x + ___(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)B) Interpret the slope and​ y-intercept, if appropriate.C) A certain? gas-powered car weighs 3600 pounds and gets 20 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this? weight?D) Would it be reasonable to use the​ least-squares regression line to predict the miles per gallon of a hybrid gas and electric​ car? Why or why​ not?
Answer:
Step-by-step explanation:
Given the following data :
(Weight, miles per gallon) (x, y) = 3648, 19), (1638, 47), (1727, 09), (2535, 50), (1832, 86), (2029, 22), (2336, 54), (1725, 33), (2534, 27), (1838, 09), (1733, 72)
Using the least square regression calculator :
y = -0.00941x + 59.07
B) slope = -0.00941
The slope 'm' of the graphical relationship is -0.009406
Intercept = 59.07 ( where the regression line crosses the x-axis)
C.) Using the regression equation:
y = -0.00941(3600) + 59.07
y = 25.194 gallons (above)
D.) No, because other factors also contribute to gas mileage such as cylinders, Displacement, mdoel e. T. C
FOR BRAINLIEST only RIGHT ANWERS
Answer:
Length of arc: 6π
Step-by-step explanation:
~ Let us answer this question in terms of π, remaining so ~
1. Assume that this is a complete circle, for the moment being. The chord with length of 12 units would act as the diameter, and using that information we could determine the circumference of this complete circle...which will help us in the future. Apply the formula π * d as such: π * 12 ⇒ 12π to get the circumference as 12π.
2. Knowing that the length of the complete circle's circumference is 12π, this arc is part of a semicircle, meaning that it's value would be half of that of the complete circle's circumference, or in other words: 12π/2 ⇒ Answer ~ Length of arc: 6π
Answer:Length of arc: 6π
Step-by-step explanation:
What will the horizontal axis represent?
Sin2x + cos3x expand the expression
Step-by-step explanation:
Use double and triple angle identities:
sin(2x) + cos(3x)
2 sin x cos x + 4 cos³x − 3 cos x
What’s the correct answer for this?
Same slopes, different constant, so parallel lines.
Answer: ... parallel because their slopes are equal. Last choice.
Answer:
D
Step-by-step explanation:
Yes, lines l and k are parallel since they are having equal slopes
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
The equation of circle is :
(x−a)² + (y−b)² = r²
So the equation is
(x-3)² + (y-(-2))² = (6)²
Where center = (a,b) = (3,-2) and
Radius = r = 6
Which figure has a greater area?
19 ft
16.4 ft
.
15 ft
16.1 ft
Answer:
green triangle
Step-by-step explanation:
The green triangle has an area of
A = 1/2 bh
A = 1/2 (15) * 19
A =142.5 ft^2
The blue triangle has an area of
A = 1/2 bh
A = 1/2(16.1) (16.4)
A =132.02 ft^2
The green triangle has a greater area
please help with this
Answer:
10x^2 -4x +6
Step-by-step explanation:
The area of the blue square is
2* 5x^2 = 10x^2
The area of the pink square is
2 * -2x = -4x
The area of the green square is
2 *3 = 6
Add it all together
10x^2 -4x +6
PLEASE HELP
Sara and Sam are each working on a science project in which they need to research the individual masses of the nine planets (including the dwarf planet Pluto as the ninth planet). Sara completes her data for the planets' masses in kilograms while Sam's data is in milligrams.
Sara:
Approximate how many times greater Saturn's mass is than Mercury's.
A: 2,000,000
B: 200,000
C: 20,000
D: 2,000
1.What values could replace the "?" in these equations to make them true?
2. How would you explain to a friend who doesn't know about logarithms what the equation
LaTeX: \log_{10}x\:=\:y
log
10
x
=
y
says about x and y?
Answer:
Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.
1. (a)[tex]log_{10} (10)=1[/tex]
Notice that the result is one beacuse [tex]10^{1}=10[/tex]
(b)[tex]log_{10}(10000)=4[/tex]
Because [tex]10^{4}=10000[/tex]
(c)[tex]log_{10}(?) =7 \implies 10^{7} =10000000[/tex]
So, [tex]log_{10}(10000000)=7[/tex]
2.I would say to thim that [tex]x[/tex] and [tex]y[/tex] are variables of the logarithm, which be solved by imagine the logarithm as an exponential like
[tex]log_{10} (x)=y \implies 10^{y}=x[/tex]
In other words, the [tex]y[/tex] is the exponent and the [tex]x[/tex] is the result of the exponential.
Which type of quadrilatera can have exactly 1 pair of parallel side
A rectangle
B rhombus
C square
D trapezoid
6)
What is the solution to the equation? 5 = two-fifths a 2 4 and three-fifths 12 and one-half 25
Answer:
12 1/2
Step-by-step explanation:
Multiply the equation by the inverse of the coefficient of a.
5 = (2/5)a
5(5/2) = (2/5)(5/2)a
25/2 = a
12 1/2 = a . . . . written as a mixed number
The solution is 12 1/2.
Answer:
12 1/2
Step-by-step explanation:
what does the pythagorean theorem and it’s Converse state? why is this theorem important? what are some real world examples in which this theorem is used?
Answer:
The converse of the Pythagorean Theorem states that: If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides of the triangle, then the triangle is a right triangle.
Step-by-step explanation:
What would you do to find the arc length around 5/8 of a circle?
Answer:
5/8 * 2 * pi *r
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi *r
Then multiply it by the fraction of the circle ( arc length) you wish to find
5/8 * 2 * pi *r
If y=sin2x+cos2x then dy/dx
2(cos2x - sin2x)
Step-by-step explanation:
Y = sin2x + cos2x
Differentiate wrt x
dy/dx = cos2x . 2 - sin2x . 2
= 2(cos2x - sin2x)
Determine the slope of the line that passes through the points: x−8,0,4,5,y,−33,−1,15,19
Answer:
The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:
(Note: we do not need all of 4 points, 2 points are enough)
-33 = a x (-8) + b
-1 = a x 0 + b
From 2nd equation, we have:
b = -1
From 1st equation, we have:
b - 8 x a = -33
=> -1 - 8 x a = -33
=> 8 x a = 32
=> a = 4
=> The equation of line: y = 4a - 1
Hope this helps!
:)
Lynn has two jobs. She earns $7.50 per hour as the hostess for a restaurant and earns
$10 per hour babysitting for a neighbor.
Part 1
Which inequality represents the number of hours working as a hostess, h, and the
number of hours babysitting, b, that Lynn needs in order to earn at least $150 in one
week?
A. h + b > $150
B. h + b 2 $150
7.5h + 10b > $150
• D
7.5h + 10b $150
e here to search
Answer:
7.5h + 10b > $150
Step-by-step explanation:
h represents the amount of hours Lynn works as a hostess for a restaurant, and she gets $7.50 per hour. $7.50h is how much money she gets per hour. b represents the amount of hours Lynn spends working as a babysitter, and she gets $10 per hour. $10b is how much money she gets from babysitting per hour. The total amount of money she gets this week must be more than $150. So the answer is 7.5h + 10b > $150. Hope this helped!
Carl pays $45 per month for car insurance. How much does he spend on car insurance in 1 year?
Answer:
He spends $540
Step-by-step explanation:
literally just 45 multiplied by 12
Write the correct order of letter to the finish line. HELP ITS URGENT and btw it’s not L
Answer:
M
hope this helps
Answer:3rd row (abcg) skip a line h
Step-by-step explanation:
What is the discount for a iPod that’s $75 dollars but labeled “ save 15% “
Discount = [tex]\frac{15}{100}[/tex] x 75
= [tex]\frac{1125}{100}[/tex]
= $11.25
According to the picture, whats the answer?
Answer:
84 meters
Step-by-step explanation:
5 x 6 = 30 hypotenuse side not shown
3 x 4 ÷ 2 x 2 = 12 red (both ends)
3 x 6 = 18 green side
6 x 4 = 24 blue side