Answer:
a), b), e)
Step-by-step explanation:
a) -30(3 + 2w) = -90 - 60w
b) (-9 − 6w) x 10 = -90 - 60w
c) -3(30 - 20w) = -90 + 60w
d) (6 + 4w) × 15 = 90 + 60w
e) −20(4.5 + 3w) = -90 - 60w
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
y=5x-4
Step-by-step explanation:
Write in slope-intercept form.
y= mx +b
To find the slope [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Your points are (5,21) and (-5,-29)
[tex]y_2[/tex] = -29
[tex]y_1[/tex] = 21
[tex]x_2[/tex] = -5
[tex]x_1[/tex] = 5
[tex]\frac{-29-21}{-5-5}[/tex]=[tex]\frac{-50}{-10}[/tex]=5
The slope is 5.
y= 5x+b
Insert a point. Let's use (5,21)
21 = 5(5) +b
21 = 25+ b
b=-4
y=5x-4
Solve by factoring 6x^3 - 16x^2 - 32x = 0. Enter your work
Hey there! :)
Answer:
x = -4/3, 0, 4.
Step-by-step explanation:
Starting with:
6x³ - 16x² - 32x = 0
Factor out the greatest common factor between each term, or 2x:
2x(3x² - 8x - 16) = 0
Factor the expression inside the parenthesis:
2x(3x +4)(x - 4) = 0
Use the Zero Product Property to solve the equation:
2x = 0
x = 0
---------
3x + 4 = 0
3x = -4
x = -4/3
-------------
x - 4 = 0
x = 4
-------------
Therefore, the solutions to this equation are:
x = -4/3, 0, 4.
Answer:
Step-by-step explanation:
The common factor is 2x
2x(3x^2 - 8x - 16)
(x - 4)(3x+4)*2x = 0
x = 2
x = 4
x = -4/3
This does not graph too awfully well, but at least it givens you a notion of the roots.
You are taking 1500 US dollars on a trip. After checking the exchange rate, you figure out the exchange rate is 1 US dollar to 0.74 euros. Task: write an equation to convert US dollars to euros. Will mark most brainiest if you answer!
Answer:
1500*0.74 = (1,110 euros)
Step-by-step explanation:
1. Use the equation, 1500*0.74.
2. Multiply 1500 and 0.74 to find out how many euros can be converted with 1500 US dollars.
3. Once you multiply them together, the final answer is 1,110 euros.
The diagram shows two congruent regular polygons joined together.
Work out the number of sides
of each polygon.
Note: Please write your final answer as ... sides.
Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?
I'm confused, how do you solve this...
Answer:
9 hours
Step-by-step explanation:
First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.
Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.
Answer:
9 hours
360/80 = 4.5 x 2 = 9
Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?
A) 1460
B) 1461
C) 1462
D) 1463
Answer:
I need help though cause I had this for homework right now
Step-by-step explanation:
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8552 g and a standard deviation of 0.0519 g. A sample of these candies came from a package containing 442 candies, and the package label stated that the net weight is 377.3 g. (If every package has 442 candies, the mean weight of the candies must exceed StartFraction 377.3 Over 442 EndFraction equals0.8537 g for the net contents to weigh at least 377.3 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8537 g. The probability is nothing. (Round to four decimal places as needed.)
Answer:
The probability that the weight of a candy randomly selected is more than 0.8537 is 0.7486
Step-by-step explanation:
The given parameters are;
The mean candle weight = 0.8552 g
The standard deviation = 0.0519 g
The number in the sample, n = 442 candles
By central limit theorem, the sample standard deviation, [tex]\sigma _{\bar x}[/tex] is given by the relationship;
[tex]\sigma _{\bar x} = \dfrac{\sigma}{\sqrt{n} } = \dfrac{0.0519}{\sqrt{442} } = 0.002469[/tex]
The probability is given by the relation;
[tex]P\left (\bar{X}>0.8537 \right )= P\left (\dfrac{\bar{X}-\mu }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-\mu }{\dfrac{\sigma }{\sqrt{n}}} \right )[/tex]
[tex]P\left (\bar{X}>0.8537 \right )= P\left (\dfrac{\bar{X}-0.8552 }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-0.8552 }{\dfrac{0.0519 }{\sqrt{442}}} \right )[/tex]
[tex]P\left (\bar{X}>0.8537 \right )= P\left (z>-0.6076\right )[/tex]
The from the z-score table we have = 0.2514
The probability of P (z > -6076) = 1 - 0.2514 = 0.7486
The probability that the weight of a candy randomly selected is more than 0.8537 = 0.7486.
Keiko estimated the height of her office building to be 45 ft. The actual height of her office building is 42 ft
Find the absolute error and the percent error of Keiko's estimate. If necessary, round your answers to the nearest tenth.
% error formula: | true value minus "your" (as in Keiko's) value | over true value, times 100.
so: 42 - 45 = 3 (it would be negative but we used absolute value, which is how it is supposed to be done. 3 is your absolute error).
3/42 = 0.07143
0.07142 * 100 = 7.142%. she was only 7.142% off from the right answer.
how would a bank represent a withdrawal of 19.43 dollars?
Answer:
-19.43
Step-by-step explanation:
Withdrawals are negative
Find the missing side to the triangle in the attached image. Thanks.
Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
Answer:Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
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Step-by-step explanation:
What's the standard equation of the circle with the general equation x2 + y2 + 4x – 2y – 20 = 0? answers: 1) (x + 2)2 + (y – 1)2 = 5 2) (x – 2)2 + (y + 1)2 = 25 3) (x + 1)2 + (y – 2)2 = 5 4) (x + 2)2 + (y – 1)2 = 25
Answer:
4). (x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
x^2 + y^2 + 4x - 2y - 20 = 0
x^2 + 4x + y^2 - 2y = 20
Completing the square on the x and y terms:
(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20
(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1
(x + 2)^2 + (y - 1)^2 = 25.
The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
The given circle equation is x²+ y²+4x-2y-20=0.
Here, x²+ y²+4x-2y=20
By completing the square on the x and y terms:
Now, add 4 on both the sides of an equation, we get
x²+ y²+4x-2y+4=20+4
x²+4x+4+y²-2y=24
Add 1 on both the sides of an equation, we get
(x+2)²+y²-2y+1=24+1
(x+2)²+(y-1)²=25
The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.
To learn more about an equation of a circle visit:
https://brainly.com/question/23799314.
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60%
12. Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On
six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency
should you choose?
95
Answers:
89; the mean
91; the mode
89; the mode
87; the median
Answer:
To answer the question above,
If you entered your test scores correctly, then your choices are off the wall.
The median is 87
The mode is 89
The mean is 85.833...
There is not a mode of 91 !
I hope this helps
Step-by-step explanation:
Can someone help me please
Answer:
60°
Step-by-step explanation:
<DGC = <AGB
90 = 90
You know that line E and F is 180° since it is a straight line. On the staright line you now have two angels. You can now frigure out x° by doing this:
180° - (30° + 90°)
180° - 120°
60°
Answer:
x=60
Step-by-step explanation:
using verticle theorem angle FC is 30 and angle AB is 90. Angle D = x
240+2x=360
x=60
Consider the following expression and determine which statements are true. x^2+5yz−8
Answer:
A.there are 3 terms.
B.the variables are x, y, and z.
Step-by-step explanation:
Complete question below:
Consider the following expression and determine which statements are true. x^2+5yz−8
CHOOSE 2 ANSWERS)
A.there are 3 terms.
B.the variables are x, y, and z.
C.The coefficient of x is 2.
D.the term 5yz is made up of 2 factors
The expression x^2+5yz-8
has three terms namely: x^2, 5yz and -8
The variables are x, y and z
The coefficient of x is 1 not 2, so option c is wrong
The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.
The correct answers are option a and option b
A.there are 3 terms.
B.the variables are x, y, and z
Answer:
A and B
Step-by-step explanation:
What Khan said
can someone help me explain it
Answer:
110.40
Step-by-step explanation:
First find the discount
120 * 20%
120*.2 = 24
Subtract this from 120
120-24
96
Now find the tip
96* 15%
96*.15
14.4
Add this to the 96
96+14.4
110.40
Answer:
$110.40
Step-by-step explanation:
The total is $120 and since there a coupon we need to subtract 20%
20% as a decimal is 0.2
When you do 0.2 multiplied by 120 you would get 24
After that you subtract $24 and get $96
15% as a decimal is 0.15
0.15 multiplied by 96 is 14.4
94 + 14.4 = 110.4
Find the slope of a line perpendicular to the line
36y - 4x = 18.
A perpendicular line would have slope m =
The solution is
Answer:
-36x-4y+72=0
Step-by-step explanation:
given line
36y-4x=18
or 4x-36y+18=0.......(i)
comparing(i) with ax+by+c=0
we get
a=4
b= -36
c=18
we know
line parallel to (i) is
bx-ay+k=0
where k = ac
then
-36x-4y+4×18=0
therefore -36x-4y+72=0 is the required equation
Choose the single logarithmic expression that is equivalent to the one shown.
log2 6 + log2 2 − log2 8
Answer:
C. log2 3/2.
Step-by-step explanation:
When you are adding two logs with the same base, you multiply.
So, log2 6 + log2 2 = log2 6 * 2 = log2 12
When you subtract two logs with the same base, you divide.
So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2
The answer is C. log2 3/2.
Hope this helps!!
To create an open-top box out of a sheet of cardboard that is 25 inches long and
13 inches wide, you make a square flap of side length x inches in each corner by
13 in.
cutting along one of the flap's sides and folding along the other. (In the diagram,
a solid line segment in the interior of the rectangle indicates a cut, while a
dashed line segment indicates a fold.) Once you fold up the four sides of the
box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the
volume of the box.
Step-by-step explanation:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Answer:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 18.8 in and a base with a
diameter of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the cone is 1006.9in³
Step-by-step explanation:
Given
[tex]Height = 18.8\ in[/tex]
[tex]Diameter = 14.3\ in[/tex]
Required
Calculate the volume;
The volume of a cone is calculated as thus;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where V represents volume; r represents radius; and h represents height
The radius is calculated as thus;
[tex]r = \frac{1}{2}Diameter[/tex]
[tex]r = \frac{1}{2} * 14.3[/tex]
[tex]r = 7.15[/tex]
Substitute [tex]r = 7.15[/tex]; [tex]h = 18.8[/tex] and [tex]\pi = \frac{22}{7}[/tex]
[tex]V = \frac{1}{3} \pi r^2h[/tex] becomes
[tex]V = \frac{1}{3} * \frac{22}{7} * 7.15^2 * 18.8[/tex]
[tex]V = \frac{1}{3} * \frac{22}{7} * 51.1225 * 18.8[/tex]
[tex]V = \frac{22* 51.1225 * 18.8}{3 * 7}[/tex]
[tex]V = \frac{21144.266}{21}[/tex]
[tex]V = 1006.86980952[/tex]
[tex]V = 1006.9\ in^3[/tex] (Approximated)
Hence, the approximated volume of the cone is 1006.9in³
Answer:1006.5
Step-by-step explanation:
Find the missing length indicated.
The total surface area of a window is 2630in2. Use the fact that 1 in = 2.54 cm to convert this area to cm2.
2630 * 2.54 * 2.54 = 16967.71 cm2
The total surface area of the window in square centimeters is 17011 cm².
To convert the total surface area of a window from square inches to square centimeters, we can use the conversion factor of 1 in = 2.54 cm.
Here are the steps to follow:
Multiply the surface area in square inches by the conversion factor to get the surface area in square centimeters.
Round the answer to the nearest whole number.
Using the given surface area of 2630 in², we can convert it to square centimeters as follows:
2630 in² × (2.54 cm/in)² = 17010.76 cm²
Rounding to the nearest whole number, we get:
17011 cm²
Therefore, the total surface area of the window in square centimeters is 17011 cm².
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[tex]\frac{s+24}{7}[/tex] = –2
s = ______
Step-by-step explanation:
S+24/7 = -2
7×{S +24/7} = -2×7
S+24 = -14
S+24-24 = -14-24
S = -38
PLEASE!!! HELP!!! Question: If you have points on a graph that plot (1,7), (2,8), (3,5) and (4,6) what would be the slope?
Answer:
1
Step-by-step explanation:
You only need two points to find the slope.
Let's use (1,7) and (2,8).
The formula for slope is (y2-y1)/(x2-x1)
Let's plug the values in:
(8-7)/(2-1) = 1.
So, the slope is 1.
Attachment Below, please help, I'm not timed
Answer:
Step-by-step explanation:
x + 2x + 4x = 49
7x = 49
x = 7
2(7)= 14 hours he worked on Wednesday
A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
Answer:
Step-by-step explanation:
let width=x
length=3x
area=3x×x=3x²
3x²=192
x²=192/3=64
x=√64=8
width=8 m
length=3×8=24 m
Answer:
Length= 24 meterWidth= 8 meterSolution,
Let the length be 3x meter.
Let the width be X meter
Area of rectangle= 192 square metres
Now,
Area of rectangles= length * breath
[tex]192 = 3x \times x \\ 192 = 3 {x}^{2} \\ {x}^{2} = \frac{192}{3} \\ x^{2} = 64 \\ x = \sqrt{64} \\ x = 8 \: meter[/tex]
Width = 8 meterReplacing value,
Length= 3x[tex] \: \: \: 3 \times x \\ \: \: = 3 \times 8 \\ \: \: \: \: = 24[/tex]
Length= 24 meter.Hope this helps...
Good luck on your assignment...
PLEASE ANSWER! FIRST CORRECT ANSWER GETS BRAINLIEST!
Answer:
The answer should be 20.
Step-by-step explanation:
First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.
So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)
You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.
[tex](7-6.35) = 0.65[/tex]
Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)
[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]
Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.
Start with the first set of numbers that have the division sign in between.
[tex]\frac{1.2}{36} =0.03333[/tex]
Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.
[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]
The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):
[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]
This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:
[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]
Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].
[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]
These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.
[tex]\frac{10}{0.5} =20[/tex]
This gives you the final answer of 20.
Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
Answer:
[tex] \frac{1}{2} [/tex]Solution,
Let the points be A and B
A(-4 , 1)------>( X1, y1)
B(2,4)---------->( x2, y2)
Now,
Gradient:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 1}{2 - ( - 4)} [/tex]
[tex] \frac{3}{2 + 4} [/tex]
[tex] \frac{3}{6} [/tex]
[tex] \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment...
Answer:
1/2
Step-by-step explanation:
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ ≅ ∠IKL and ∠GJI ≅ ∠JLK, as they are corresponding angles for parallel lines cut by a transversal. By the definition of congruent angles, m∠EIJ = m∠GJI, m∠EIJ = m∠IKL, and m∠GJI = m∠JLK. So, m∠IKL = m∠JLK by the ___________ (substitution property of equality, subtraction property of equality , or symmetry property of equality.) . Angle JLK and ∠JLD are supplementary angles by the _____________________ (vertical angles theorem, congruent supplements theroem, or linear pair theroem.) so m∠JLK + m∠JLD = 180°. By the (substitution property of equality reflexive property of equality, or division property of equality) , m∠IKL + m∠JLD = 180°. Therefore, ∠IKL and ∠JLD are supplementary angles by definition.
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
1st blank
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
2nd blank
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
3rd blank
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
there u go
Differentiate... How to solve this type of problem? y = cos^2(x^2 + x^3)
Answer:
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Step-by-step explanation:
Step(i):-
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a) [tex]\frac{d}{dx} (cosx) = -sinx[/tex]
b) [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
Step(ii):-
Differentiating equation (i) with respective to 'x'
First apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]
Now we will apply formula
[tex]\frac{d}{dx} (cosx) = -sinx[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]
Again apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
[tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ
[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
Final answer:-
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Substitution
Step-by-step explanation:
The subtraction property of equality is when you subtract from both sides, they will still be equal. The multiplication property is the same thing but with multiplication.
Answer:
Substitution
Step-by-step explanation:
Substitution: If a = b, then either a or b may be substitued for the other in any equation (or inequality).
Multiplication: If a =b, then ca = cb.
Subtraction: If a=b and c=d, then a-c=b-d
Substitution is the closest.