Answer:
Step (2) is incorrect.
Step-by-step explanation:
The area of a rectangle is given by :
A = length × width
Area = 8+12x
Width = 4
Step 1: 8 + 12x
Step 2: 4(2) + 4(3x)
Step 3: 4(2 + 3x)
Step 4: Dimensions of the rectangle are 4 and 2 + 3x.
It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).
(7.3)2 + 9.1 divided by (8.7 - 6.1)
im not very good with math that much sorry !!
Answer:
i think you put the 7.3X2+9.1 then divided it by 8.7 -6.1
Step-by-step explanation:
let me see if i can help you
Answer:
18.1
Step-by-step explanation:
(7.3)2+9.1 / (8.7-6.1)
PEMDAS
Paranthesis first so: 7.3 x 2 = 14.6 , 8.7 - 6.1 = 2.6
So the equation becomes 14.6 + 9.1 / 2.6
Division next since there are no exponents or multiplication: 9.1 / 2.6 = 3.5
Equation becomes 14.6 + 3.5
Addition next: 14.6 + 3.5 = 18.1
Using the rational root theorem, identify all the possible rational roots of the equation x^4+25x^3-14x^2-19x+30
Answer: D on Edg
Step-by-step explanation:
Identify how the graph is transformed from that of the parent function.
y = cot(x/5)
>
DONE
y=1/4tan(x)
DONE
The graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation.
How to comparent a parent function with a child functionLet be [tex]f(x) = \cot \frac{x}{5}[/tex] the parent function and [tex]g(x) = \frac{1}{4}\cdot \tan x[/tex] the child function. We can obtain the child function by applying the following three steps:
Relationship between tangent and cotangent functions: [tex]f'(x) = \frac{1}{f(x)} = \frac{1}{\cot \frac{x}{5} } = \tan \frac{x}{5}[/tex]Dilation of the independent variable by 5: [tex]f''(x) = f(5\cdot x) = \tan x[/tex]Vertical dilation by [tex]\frac{1}{4}[/tex]: [tex]g(x) = \frac{1}{4}\cdot f''(x) = \frac{1}{4}\cdot \tan x[/tex]In consequence, the graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation. [tex]\blacksquare[/tex]
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Answer: first is stretched horizontally, second is compressed vertically
Step-by-step explanation:
Kelly bought 3 pounds of chicken for 6.99 per pound 20 pounds of dog food 1.95 Per pound prices include the sales tax Kelly gave the cashier $60 how much change should Kelly receive
Answer: 3 cents
Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.
Multiply the polynomials. (3x − 9)(5x + 1)
Find the total cost of these items, including tax. Round to the nearest hundredth.
Water bottle:
Flashlight:
Answer: watter bottle : $1.61
Flashlight : $3.20
Step-by-step explanation:
Geometry Two column prove
Answer:
(see below)
Step-by-step explanation:
First, you know that the first statement given is Given.
Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.
To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.
Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.
This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.
To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."
It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.
Now you can prove these two triangles congruent by the SAS Postulate.
Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.
Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.
Your proof should look something like IMAGE.A.
[tex] \sqrt{361} [/tex]
Answer:
19
Step-by-step explanation:
Answer:
19
Step by step explanation:
Write the phrase as an expression.
28 divided by 7
An expression is
Just to let you guys know the answer is not 28/2 because someone already got it wrong.
Answer:
28 divided by 7 is 4
Step-by-step explanation:
example: There 28 cupcakes if there are 7 people how many will each get? Ok so you have 28 groups of 7 and then you'll get your answer which is 4.
The mathematical expression for the phrase 28 divided by 7 is 28 ÷ 7 and the value of the expression is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
28 divided by 7,
The mathematical expression for the above statement can be written as shown below,
28 ÷ 7
Calculate the value of the expression as shown below,
28 ÷ 7 = 4
Thus, the expression is 28 ÷ 7.
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3(x+15) - 6x = -6(x-3)
Nancy has $240 in the bank. She wants to buy as many $15 video
games as possible. How many video games could she buy if she wanted
to keep at least $120 in the bank?
she could buy atleast 8, 15 dollar video games
Step-by-step explanation:
240 -120(for her bank)
then you'll b left w 120
divide 120 by 15 and get 8
Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.
Required:
Under this setup, what is the variance of this distribution?
Answer:
The variance of this distribution is 42353.2
Step-by-step explanation:
For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
In this question:
226977 visitors, so [tex]n = 226977[/tex]
56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]
Then
[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]
The variance of this distribution is 42353.2
What is the domain of the function y= Vx?
-00
O 0
O 0x<00
O 1
The domain of the function is 0 ≤ x ≤ ∞.
Option 3 is correct
What is Domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
As per the given data:
The function is y = √x
Square root is not defined to for negative values. For negative values, the answer of square root is a complex number which is not in real domain.
So any such values, for which the expression is not defined, are not in the domain. So the domain of the square root of x will be all real numbers greater than or equal to 0.
Hence, the domain of the function is 0 ≤ x ≤ ∞
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The sum of 7 times one number, x, and 4 times a second number, y, is 148. If the sum of the two numbers is 31, find the two numbers.
Enter a system of equations to represent the situation, then solve the system.
The system of equations is ___ and ___
The first number is ___ and the second number is ___.
Answer:21.88
Step-by-step explanation:
True or False.
43 = 62
Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help
select all that applies
Answer:
A
C
D
F
G
Step-by-step explanation:
You can pretty easily find the answer by just going through each statement and analyzing what it means. For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel. This could be correct. The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question. We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees) This answer choice is incorrect. Next up we have BPC and APD and it asks whether or not they are congruent. We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent. This means C is also a correct option. Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent. This answer choice is correct also. Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from. AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram. This IS a correct choice. Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question. Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC. These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes. G is also a correct answer. Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles. Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other. Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct. This leaves A,C,D,F, and G as the correct answers.
HELP PLEASE! 10 points
Answer:C
Step-by-step explanation:
That’s most likely the answer
The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets are reproduced here.
0.99 1.92 1.23 0.85 0.65 0.53 1.41
1.12 0.63 0.67 0.69 0.60 0.60 0.66
a. Find the range.
b. Find the sample variance.
c. Find the sample standard deviation.
Answer:
a) Range = 1.39
b) the sample variance is 0.1597
c) the sample standard deviation is 0.3996
Step-by-step explanation:
Given the data in the question;
a) Find the range.
To determine the range, we simple subtract the smallest value from the largest value. i.e
Range = largest value - smallest value
from data set; our smallest is 0.53 while our largest value is 1.92
so
Range = 1.92 - 0.53 = 1.39
b) Find the sample variance.
To determine our variance, we use the following formula;
∑([tex]X_{i}[/tex] - [tex]x_{bar}[/tex])² / n - 1 = [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]
where [tex]x_{bar}[/tex] = ∑[tex]X_{i}[/tex]/n
n is sample size = 14 so lets calculate ∑[tex]X_{i}[/tex]
∑[tex]X_{i}[/tex] = 0.99 + 1.92 + 1.23 + 0.85 + 0.65 + 0.53 + 1.41 + 1.12 + 0.63 + 0.67 + 0.69 + 0.60 + 0.60 + 0.66
∑[tex]X_{i}[/tex] = 12.55
∑[tex]X_{i}[/tex]² = 0.99² + 1.92² + 1.23² + 0.85² + 0.65² + 0.53² + 1.41² + 1.12² + 0.63² + 0.67² + 0.69² + 0.60² + 0.60² + 0.66²
∑[tex]X_{i}[/tex]² = 13.3253
so
our [tex]x_{bar}[/tex] = ∑[tex]X_{i}[/tex]/n = 12.55 / 14 = 0.8964
so our Variance will be;
= [ ∑[tex]X_{i}[/tex]²/n-1 ] - [ [tex]\frac{n}{n-1}[/tex]([tex]x_{bar}[/tex])²]
= [ 13.3253 / 14-1 ] - [ [tex]\frac{14}{14-1}[/tex] (0.8964)²]
= 1.025 - 0.8653
= 0.1597
Therefore, the sample variance is 0.1597
c) Find the sample standard deviation.
we know that standard deviation is the square root of variance;
standard deviation = √Variance
standard deviation = √0.1597
standard deviation = 0.3996
Therefore, the sample standard deviation is 0.3996
At camping trip, you have the option of seating in a small table or a large table. A small table fits 5 campers who will share 2 pizzas. A large table fits 6 campers who will share 3 pizzas.
Assuming the pizza is shared evenly among the table , at which table do you get the most pizza? Explain how you know.
Answer:
i will be at small table bcz i will get more pizza there
You move right 1 unit. You end at (2, -1). Where did you start?
Answer:
(1, -1)
Step-by-step explanation:
If you end up at (2, -1), after moving 1 unit to the right, that implies that you started at (1, -1). Note that 1 + 1 = 2.
Answer:
(1,-1)
Step-by-step explanation:
Because as it said go across 1 to the right , just go back 1 to the left so you are at were you started
help please i have the answer on picture
Answer:
4/24
Step-by-step explanation:
[tex]\frac{1}{6} = \frac{1*4}{6*4}=\frac{4}{24}[/tex]
Help with substitution show work please!!!!!!!
Answer: x=4, y=-2
Step-by-step explanation: 4x+y=14, x-2y=8
4x+y-y=14-y
4x/4=14/4-y/4
x=14-y/4-(2y)(4)/4
4(14-9y)/4=(8)(4)
14-9y-14=32-14
-9y/-9=18/-9
y=-2
(14)-(-2)/4
14+2/4
16/4
4
x=4
x=4, y=-2
Answer:
Solution of given system of equations is: x=4, y=-2 or (4,-2)
Step-by-step explanation:
Solve the equation using substitution
4x+y=14
x-2y=8
Substitution method involves placing value of x or y from one equation to other equation.
We have
[tex]4x+y=14--eq(1)\\x-2y=8--eq(2)\\[/tex]
Finding value of x from equation 2
x-2y=8
x=2y+8
Put this value of x in equation 1
[tex]4x+y=14Put\:x=2y+8\\4(2y+8)+y=14\\8y+32+y=14\\9y=14-32\\9y=-18\\y=\frac{-18}{9}\\y=-2[/tex]
We get y=-2
Now, put value of y into equation 2 to find value of x
[tex]x-2y=8\\x-2(-2)=8\\x+4=8\\x=8-4\\x=4[/tex]
We get x = 4
So, solution of given system of equations is: x=4, y=-2 or (4,-2)
A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?
A. Each calculator costs $1,000.
B. The account had $1,000 before buying calculators.
C. Each calculator costs $80.
D. The account had $80 before buying calculators.
Answer:
C. Each calculator costs $80.
Step-by-step explanation:
Linear equation:
Has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.
In this question:
Amount remaining after buying x calculators:
[tex]y = 1000 - 80x[/tex]
So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.
The answer is given by option C.
a rectangle has an area of 3 3/4 square feet. the length is 1 1/2 . what is the width
Answer:
The answer is 2 1/2
Step-by-step explanation:
First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.
Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2
15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .
15/4 x 2/3 =15 x2 = 30 , 4x3=12 so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2
13 14
x
7 11
What is 13/7 times 14/11 equal
Answer:
(2 × 7 × 13) / (7 × 11) =
((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =
(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =
(2 × 1 × 13)/(1 × 11) =
(2 × 13)/11 =
26/11;
Step-by-step explanation:
Answer:
182/77 is the normal answer
the answer is 26/11 in simplest form
If 3/10 = 30/100, then 4/10 = ___/100
Answer:
40/100
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = 40/100
someone help please !
9514 1404 393
Answer:
no, the triangles are not similar
Step-by-step explanation:
The given ratios tell you corresponding side ratios are ...
ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6
AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7
Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.
Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.
Answer:
approximately 7 CDs for her bonus
Answer:
Toris can buy about 7 CDs
Step-by-step explanation:
63 Divided by 9 = 7
Combine like terms.
Please help me.
Answer:
15y^2-45
Step-by-step explanation:
5y^2+10y^2-45 = 15y^2-45