Answer:
1/2, 8/10, 0.9
Step-by-step explanation:
Convert to decimals.
8/10 = 0.8
0.9
1/2 = 0.5
Arrange from least to greatest.
0.5, 0.8, 0.9
1/2, 8/10, 0.9
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.
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]
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
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.
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
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. :)
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:
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!
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
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)
Please help me thank you
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
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.
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
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)
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
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.
Circle X with a radius of 6 units and circle Y with a radius
of 2 units are shown.
Which steps would prove the circles similar?
6
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 4.
0 Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 4.
Y
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 3.
Os Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 3.
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
[tex]\text{Scale factor}=\dfrac{\text{Radius of circle X}}{\text{Radius of circle Y}}[/tex]
[tex]\text{Scale factor}=\dfrac{6}{2}[/tex]
[tex]\text{Scale factor}=3[/tex]
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
Answer:
the answer is c
Step-by-step explanation:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
edge 2020-2021
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
Put the linear inequality into slope-intercept form.
Answer:
y ≤[tex]\frac{7}{4}x - 5[/tex]
Step-by-step explanation:
We are to put the linear inequality;
7x - 4y ≥ 20
in slope intercept form.
We can rearrange the inequality as;
-4y ≥ - 7x + 20
Dividing throughout by -4 we get;
y ≤ [tex]\frac{7}{4} x[/tex] - 5
Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.
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:
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 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:
Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?
Answer:
4.29x + 6.99y ≤ 88
Step-by-step explanation:
x represents the number of pounds of chicken he can buy and y represents the number of pounds of ham he can buy. Multiplying the price per pound by the number of pounds he will buy will give you the amount of money he will spend and here he has only $88. Which means the amount of money he will spend should be less than or equal to $88 as shown in the inequality above.
Hope this helps.
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)
On the planet Kudzu, the probability that an animal is blue is 0.20. The
probability that the animal is blue given that the animal is female is 0.20
Which statement is true?
HEELLLPP
This is about the domain and range. PLEASE HELP ME!
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
[tex]F(0)=5-(0)^2[/tex]
[tex]F(0)=5[/tex]
The maximum value of y is 5.
Let x = 50
[tex]F(50)=5-(50)^2[/tex]
[tex]F(50)=5-2500[/tex]
[tex]F(50)=-2495[/tex]
The minimun value of y is [tex]- \infty[/tex] from observation.
The values of x can be a negative number.
[tex]F(-5)=5-(-5)^2[/tex]
[tex]F(-5)=5-25[/tex]
[tex]F(-5)=-20[/tex]
The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].
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)