Answer:
5d+4
Step-by-step explanation:
[tex]Total = d + (4d + 4)\\Total = 5d + 4[/tex]
Hope it helps ;P
Represent the electricity bill using a linear equation in 2 variables with respect to fixed charge and unit consumption in the month of April 2020, May 2020 and December 2019. Find the reason behind the variation of electricity bill explaining the use of different electric appliances. April bill -385 May bill - 395 December bill-275
Answer:
Step-by-step explanation:
If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage
PLSSS HELp simplify 3/5-√3 PLS SHOW WORK
[tex]\frac{3}{5-\sqrt{3} }[/tex]
= [tex]\frac{3(5 + \sqrt{3})}{5-\sqrt{3} (5 + \sqrt{3}) }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{5^{2} - \sqrt{3}^{2} }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{25-3 }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{22 }[/tex]
Help me round to the nearest tenth 5x^2-27=6x
Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
[tex](6+\sqrt{576})/10[/tex], this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!
What is the mean of: 3.7, 5, 9.2, 4, 6.1, 5, 2.6, 4, 5.2, 5?
Answer:
4.98
Step-by-step explanation:
Answer:
4.98
Step-by-step explanation:
PLEASE HELP WILL GIVE EXTRA POINTS
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group.
A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822:
H0: Salvage rates are the same for Remedy A and B
Ha: Remedy B has a greater salvage rate
Part A: Interpret the p-value in terms of the context.
Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study?
Answer:
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B
Step-by-step explanation:
The p-value
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]\hat p_1[/tex] = 35/220 = 7/44
[tex]\hat p_2[/tex] = 39/230
[tex]\hat p[/tex] = 74/220 = 37/110
We get our test statistic z = -0.2996381
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.
x+2y=8 under it is x-3y =6 solve it using simultaneous equation,substitution method.
Answer:
Step-by-step explanation:
x +2y = 8 ----- (I)
x = 8 - 2y
x - 3y = 6 -------(II)
Substitute x = 8 - 2y in equation (II)
8 - 2y - 3y = 6 {add like terms}
8 - 5y = 6
Subtract 8 form both sides
-5y = 6- 8
-5y = -2
Divide both sides by -5
-5y/-5 = -2/-5
y = 2/5
Substitute y = 2/5 in equation (I)
[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]
x = 36/5
One popcorn kernel weighs 1.23 grams. If a package of popcorn kernels weighs 2 kilograms, approximately how many popcorn kernels does the package hold?
Answer:
1626.02
Step-by-step explanation:
1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.
Solve this a² ÷ a⁴ × a²
Step-by-step explanation:
a^4 - a^4 = (a^2 +a^2)(a^2-a^2)
a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)
there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0
i hope this will help you
Answer:
Hello There!
~~~~~~~~~~~~~~~
a² ÷ a⁴ × a² =
1
Step-by-step explanation: Simplify the expression.
Hope this helped you! Brainliest would be nice!
☆_____________❤︎______________☆
Pleaseee hellllpp!!!!
How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?
Answer:
Total mass = 105.8 gram (Approx)
Step-by-step explanation:
Given:
Atoms of Cl = 6.3 × 10²³
Find:
grams of AuCl₃
Computation:
Molecules of AuCl₃ = 6.3 × 10²³ / 3 = 2.1 × 10²³
1 mol of AuCl₃ = 6.022 × 10²³ molecules
Number of mol = 2.1 × 10²³ / 6.022 × 10²³
Number of mol = 0.348 mol
So,
Molar mass of AuCl₃ = 303.33 g/mol
Total mass = 0.348 mol × 303.33 g/mol
Total mass = 105.8 gram (Approx)
identify the reflection of the figure with vertices L(-5,15), M(-12,-36), and N(21,-11) across the y-axis. HELP ASAP please. answer choices r in photo
Answer:
The correct answer is:
L'(5,15), M'(12,-36), and N'(-21,-11)
Step-by-step explanation:
We are given the following points:
L(-5,15)
M(-12,-36) and
N(21,-11)
To find:
Reflection of the points across the y axis.
Solution:
To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.
Property of the image:
The image of point and actual point will be equidistant from the y axis.
If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.
Let us take the first point:
L(-5,15)
x coordinate value -5 is on the left side of y axis.
The reflection will be 5 units on the right side of x axis
[tex]\therefore[/tex] L' (5, 15)
Let us take the second point:
M(-12,-36)
x coordinate value -12 is on the left side of y axis.
The reflection will be 12 units on the right side of x axis
[tex]\therefore[/tex] M'(12,-36)
Let us take the third point:
N(21,-11)
x coordinate value 21 is on the right side of y axis.
The reflection will be 21 units on the left side of x axis
[tex]\therefore[/tex] N'(-21,-11)
Please have a look at the attached figure for the points and their reflection.
Reflection triangles is shown as dotted line.
The correct answer is:
L'(5,15), M'(12,-36), and N'(-21,-11)
convert the following to a rectangular equation
x=3t+5
y=t^2-1
Answer:
y=2x-3, x=23.5
Step-by-step explanation:
This is what i got.
The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.
What is Rectangular Equation?An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.
Given:
x=3t+5.....(1)
y=t²-1.....(2)
From equation (1), we get
t= 1/3(x-5)
Now, put t in equation (2)
y= 1/9 (x- 5)² - 1
y = 1/9 x² - 25/9 -10x/ 9 - 1
y= x² /9 - 10x/9 - 34/9
Learn more about rectangular form here:
https://brainly.com/question/10345510
#SPJ2
what is an slope? like in general
Answer:
A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface
Step-by-step explanation:
Change each of the following angles in degrees to angles in radians
(d) 〖150〗^0 (e) 〖240〗^0 (f) 〖300〗^0
Answer:
d: 2.6179, e: 4.1887, f: 5.2359 all in rad
Step-by-step explanation:
(d): 150°degrees
150° × π / 180°
= 0.83333333333π rad
= 2.6179 rad
(e):240°degrees
240° × π / 180°
= 1.3333333333π rad
= 4.1887 rad
(f): 300°degrees
300° × π / 180°
= 1.6666666667π rad
= 5.2359 rad
If all my stuff is correct please give me an 5/5 and a thanks. :)
8. Patrick bought five new baseball trading cards to add to his collection. The next day his dog
ate half of his collection. There are now only 31 cards left. How many cards did Patrick start
with? Write an equation to represent this scenario and solve for the variable. (2 marks)
please please help asap
Step-by-step explanation:
X = the number of cards in his location
[tex]31 = (x+5)/2\\\\Multiply\\\\62 = x+5\\\\Subtract\\\\x = 57[/tex]
Hope this helps <3
Find the measurement of both complementary angles, if One is 30° greater than the other one.
Answer:
30° and 60°
Step-by-step explanation:
Step 1: Write out equation
x + (x + 30) = 90
Step 2: Solve for x
2x + 30 = 90
2x = 60
x = 30
Step 3: Find other angle
90 - 30 = 60
Answer:
30 and 60
Step-by-step explanation:
Let x be one angle
x+30 is the other angle
Complementary angles add to 90
x+ x+30 = 90
2x+30 = 90
Subtract 30 from each side
2x=90-30
2x= 60
Divide by 2
2x/2 = 60/2
x = 30
The angles are 30 and 30+30 = 60
There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court
Answer:
Total no. of cases = 6954
No. of cases decided = 82
Percentage decided = (82/6954)x100 = 1.17%
Answer:
1.18%
Step-by-step explanation:
A percentage can be found by dividing the part by the whole. then multiplying by 100.
(part/whole) * 100
In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.
(cases decided / cases filed) *100
There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.
(82/6954) *100
First, solve the parentheses and divide.
0.0117917745* 100
Multiply
1.17917745 %
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.
1.18 %
About 1.18% of the cases filed were decided by the Supreme Court.
1. Which of the following sets of numbers could represent the lengths of the sides of an acute triangle?
A.4,5,8
b. 5,5,7
c. 6,6,14
d. 7,7,15
Answer:
C
Step-by-step explanation:
That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.
I need help plz i will make u a brainllest
1.Identify the property that justifies the following statement: 31. 36.Find the value of x rounded to the nearest tenth. 38.Which statements could you use to conclude that JKLM is a parallelogram?
Answer: 1) C. Reflexive Property of Congruence
2) A. MD ≅ SG
3) C. 5.3
4) D. LK || MJ & JK ≡ LM
Step-by-step explanation:
1) An angle or side is congruent to itself by the Reflexive Property
2) TM ≡ LG Sides are congruent (given)
∠M ≡ ∠G Angles are congruent (given)
MD ≡ SG Sides are congruent
ΔTMD ≡ ΔLGS Side-Angle-Side (SAS) Theorem
Note: The angle must connect the two sides
3) Use similarity proportion
[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]
4) In order to prove a polygon is a parallelogram, you must show
opposite sides are parallelopposite sides are congruentANY ONE PLZ HELP 25 POINTS PROVE THAT x³+y³+z³-3xyz=(x+y+z)(x+ωy+ω²z)(x+ω²y+ωz)
Answer:
Proved
Step-by-step explanation:
Taking R.H.S
=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]
=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]
Remember ∴ ω³ = 1
So we'll replace all ω³'s with 1
=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]
=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]
Remember ∴ ω²+ω = -1
=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]
=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]
According to formula:
x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]
So, it becomes
=> [tex]x^3+y^3+z^3-3xyz[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing terms and write them in decreasing order of exponents.
Answer:
7m(3m^6 - m^4 + 7)
Step-by-step explanation:
This is a factorization question
All we want to do here is to factor out 7m from each term of the polynomial
This becomes;
21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)
Each of the walls in Harvey’s shed are square and have an area of 84 square feet. What is the approximate height, to the nearest foot, of the walls in Harvey’s shed?
Answer:
9 ft
Step-by-step explanation:
Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls
Mathematically, the area of a square is L^2
The height of the walls is just as one of its side
Thus;
L^2 = 84
L = √(84)
L = 9.165
which to the nearest foot is 9 ft
A)15-3x4
B) find the range of the following list of numbers
7 1 9 3 5
Answer:
The range is 8.
Step-by-step explanation:
7, 1, 9, 3, 5
The range = Largest no. - Smallest no.
9 - 1 = 8
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]
Largest value in this set = 9
smallest value in this set = 1
Range = largest value - smallest value
= 9 - 1
= 8
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck? A. 57 feet B. 14 feet C. 49 feet D. 106 feet
Answer:
b
Step-by-step explanation:
Answer:
its not 14 feet
Step-by-step explanation:
In the diagram below, AB is parallel to cd what is the value of x?
Answer:
45 degrees
Step-by-step explanation:
corresponding angles have are equal
if the length is 4 inches, the width is 5 inches, and the height is 10 inches, what are the units for the volume
Answer:
Step-by-step explanation:
V=lwh=4*5*10=200 cubic inch or in^3
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded region. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Image is missing, so i have attached it
Answer:
21.07 mm²
Step-by-step explanation:
We will use the Formulas:
Area of semicircle = πr²/2
Area_rectangle = Length x width = Lw
We are given:
Length of rectangle = 14 mm
From the attached image, the diameter of the semicircle is equal to the length of the rectangle.
Thus;
diameter of semicircle = length of rectangle
Therefore,
diameter of semicircle = 14 mm
Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.
Thus;
diameter of semicircle/2 = radius of semicircle
Hence;
radius of semicircle = 14/2 = 7mm = width of rectangle
Thus;
Area of rectangle = L*w = 14 × 7 = 98 mm²
Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²
To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.
Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²
Helppp!!!! please!!!
Answer:
[tex]\boxed{Area = 32.5 mm^2}[/tex]
Step-by-step explanation:
Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where base = 13 mm, Height = 5 mm
Area = 1/2 (13)(5)
=> Area = 1/2 (65)
=> Area = 32.5 mm^2
Answer:
c. 32.5 mm²
Step-by-step explanation:
The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².
the sum of the digits of a two digit number is 7 if the digits are reversed the new number was increased by 3 equals 4 times the original number find the number
Answer:
16
Step-by-step explanation:
61+3=64
16*4=64
64=64
Max has 8 8 boxes of cans for a food drive. Each box has 17 17 cans. Max gives half of the boxes to his teacher. Write an expression that represents the total number of cans in all the boxes that his teacher has.
Answer:
Total cans = 17 (4)
Step-by-step explanation:
If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.
Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,
Then, the Total number of cans = [tex]17(4)[/tex] = 68.
Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)
Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD
Answer:
Segment AB || Segment CD
Step-by-step explanation:
Two lines are said to be parallel (||) if they do not meet, even when extended to infinity.
Given: <1 ≅ <3, ΔACD is an isosceles triangle.
Proof: Segment AB || Segment CD
From the diagram given,
AC ≅ AD (side property of isosceles triangle)
<3 = <4 (base angle property of an isosceles triangle)
<1 = <4 (alternate angle property)
Therefore, segment AB is parallel to segment CD.