Answer:
a = 4
Step-by-step explanation:
Multiply by 2 on each side
6a = 24
a = 4
Which equation represents the following graph y=3x+2
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Which matrix represents the system of equations below?
Y=10
4x-5y=3
Answer:
The matrix that represents the system of equations is:
[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]
Step-by-step explanation:
We will use the first column for x, the second to y and the last for the independent term.
We have:
[tex]y=10\rightarrow0x+1y=10\\\\4x-5y=3[/tex]
Then, we can write the matrix to represent the system of equations as:
[tex]\left[\begin{array}{ccc}0&1&10\\4&-5&3\end{array}\right][/tex]
A 7 kg ham costs $19/kg. Find the cost per pound.
Answer: [tex]\$8.62/\text{Pound}[/tex]
Step-by-step explanation:
Given
There is [tex]7\ kg[/tex] of ham available which costs
cost[tex]=\$\ 19/kg[/tex]
i.e.
[tex]1\ kg\ \text{costs}\ \$19[/tex]
and we know
[tex]1\ kg=2.204\ \text{pound}[/tex]
So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]
thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]
I'm doing algebra and I need help
3p+q=7
2p-2q= -6
sorry about the pic my handwriting is bad but please help me
Answer:
3p + q =7
2p - 2q = -6
6p +2q = 14
2p -2q = -6
8p = 8
p = 1
so q = 4
Step-by-step explanation:
Answer:
P= 1, q= 4
Step-by-step explanation:
3p + q = 7 -------------(1)
q=7-3p ------------------(1a)
2p- 2q= -6 -------------(2)
Substitute (1a) in (2)
We have :
2p - 2( 7- 3p) = -6
2p -14 + 6p = -6
8p= 14-6= 8
P= 8/8 =1
From, q=7 -3(1)
q= 7-3
q= 4
Hannah is a freshman in college. Her scholarship indicated that each quarter she has $1000 deposited into a meal plan account for her to use to purchase food. Every day Hannah spends $25 on food. Let f(x) represent the amount of money remaining in the account and x represent the number of days.
Answer:
f ( x ) = $1000 - $25*x
( 40 days, $0 )
( 0 days , $1000 )
Step-by-step explanation:
Solution:-
- Every quarter Hannah receives $1000 in her account for meal plan.
- So for a quarter of a year she has $1000 to spend.
- She spends $25 on food each day; hence, an amount of $25 is deducted each day.
- We can mathematically express the amount remaining in her account after ( x ) days as follows:
y = f(x) = Initial deposit - (per day deduction)*x
Where,
y: The amount remaining in Hannah's account after x days.
- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.
y= f(x) = $1000 - ($25)*x
- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.
- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:
f ( x ) = 1000 - 25x = 0
x = 1000 / 25
x = 40 days
- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:
( 40 days , $0 ) ... Answer
- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):
f ( 0 ) = 1000 - 25*0
f ( 0 ) = $1000
- The ordered pair for the y-intercpet would be:
( 0 days , $1000 ) ... Answer
QUESTION 1
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his
Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the
situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and
Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below.
Patient
A
B
C
DE
F
G
HI
J
Age (X) in Years
20 25 50
3045
60
10
15 35
70
BP(Y) in (mmHg) 80 85 125
90 100 135 80 70 100 140
NB: Approximate to 2 decimal places
Use the table to answer the questions that follow,
Calculate the product moment correlation coefficient for the data and interpret your result.
(3 Marks)
Answer:
r=0.96
Step-by-step explanation:
The Pearson product-moment correlation coefficient (PMCC) is a numerical value between -1 and 1 that shows the strength of the linear relationship between two variables.
Given the result of 10 hospital patients which were sampled below:
[tex]\left|\begin{array}{c|ccccccccccccc}$Patient&A&B&C&D&E&F&G&H&I&J\\$Age (X) in Years&20&25&50&30&45&60&10&15&35&70\\$B.P.(Y) in mmHg&80&85&125&90&100&135&80&70&100&140\end{array}\right|[/tex]
To determine the product moment correlation coefficient for the data, we follow the steps below:
Step 1: Find the following as it was done in the table below.
[tex]\sum{X}~,~ \sum{Y} ~,~ \sum{X \cdot Y} ~,~ \sum{X^2}~,~and \sum{Y^2}[/tex]
Step 2: Take the sum of every column to obtain:
[tex]\sum{X}=360 ~,~ \sum{Y}=1005 ~,~ \sum{X \cdot Y}=40425 ~,\\~ \sum{X^2}=16500 ~,~ \sum{Y^2}=106475[/tex]
Step 3: Use the following formula to find the PMCC.
[tex]r=\dfrac{n\cdot\sum{XY} - \sum{X}\cdot\sum{Y}}{\sqrt{\left[n \sum{X^2}-\left(\sum{X}\right)^2\right] \cdot \left[n \sum{Y^2}-\left(\sum{Y}\right)^2\right]}}[/tex]
[tex]=\dfrac{10\cdot 40425 - 360\cdot1005}{\sqrt{\left[10*16500}-\left(360\right)^2\right] \cdot \left[10*106475-\left(1005\right)^2\right]}}[/tex]
[tex]=\dfrac{42450}{\sqrt{1937265000}}\\=0.9645\\r\approx 0.96$ (correct to 2 decimal places)[/tex]
Interpretation
When r is closer to 1, there is a strong positive relationship between the variables. A value of 0 indicates that there is no relationship between the variables. Values close to -1 signal a strong negative relationship between the two variables.Since r=0.96 which is closer to 1, we conclude that there is a strong relationship between the age and the high blood pressure related deaths in the state.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D. [tex]d=\frac{C}{\pi }[/tex]
Step-by-step explanation:
C = πd
In order to solve for d, we need to divide both sides of the equation by πDoing so we get [tex]\frac{C}{\pi } =\frac{\pi d }{\pi }[/tex] This then simplifies to [tex]\frac{C}{\pi } =d[/tex]Marie has a collection of shark teeth. When her uncle returns from vacation, he brings her 141414 more shark teeth. Now Marie has 515151 shark teeth.
How many shark teeth did Marie have before her uncle's gift?
Answer:
37
Step-by-step explanation:
Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:
51 -14 = 37
Marie had 37 shark teeth.
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]
[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]
(b)Area of the sector
Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]
[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
In a class,three fifths of the children are girls.what percentage are boys.
Answer:
40%
Step-by-step explanation:
If 3/5 = .06 are girls
that means
2/5 = .04 are boys
now
5/5 = 1 are the total children
Finally find the percentage
(.06)(100) = 60% girls
(.04)(100) = 40% boys
What is the vertex of the function " f(x) = x2 – 8x – 9 "
Answer:
(4, -25)
Vertex form: (h, k)
Answer:
Hey!
Your answer is (4, -25) in the vertex form which is (h,k)
Step-by-step explanation:
HOPE THIS HELPS!!
Mrs. bell wrote the expanded form of a number, as shown. 5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Answer:
546.208
Step-by-step explanation:
Let's break this down.
5 x 100 = 500
4 x 10 = 40
6 x 1 = 6
2 x 1/10 = .2
8 x 1/1000 = .008
Now, let's add to find the number.
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form is 546.208
The final answer of Mrs. bell expression will be 546.208
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
the expanded form of a number is written as :
5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Let's calculate it bit by bit :
[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]
Now, let's add all the terms we get :
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form of expression written by Mrs. bell is 546.208
Read more about property of addition here :
https://brainly.com/question/14391436
#SPJ2
Please answer number 5 I give brainliest thank you!
Answer:
Mean : 66
Mode: 80
Median:70
Step-by-step explanation:
Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66
Mode most occurring, so 80.
Median arrange in ascending order and find middle value, so 70
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!! I PROMISEEEEEEEE
Answer:
I want brainliest!!! u promisteed
Step-by-step explanation:
1) 180-114 = 66
angle three = 66
360 = 70 + 70 + angle two + angle two
220 = angle two + angle two
angle two = 110
Use the vertical line test to determine which graph does not repela function
Answer:
graph b
Step-by-step explanation:
if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function
Answer:
the answer is graph b
Step-by-step explanation:
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA. 13
OB. 40
C.
56
D.
64
Answer: They can do 56 different combinations.
Step-by-step explanation:
I will mark the brianliest for the first person to answer right. Give you 30 points.
There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in. If you make a horizontal slice through it, what is the area of the exposed 2-dimensional shape? (show your work in numbers)
Answer: The required area of the exposed 2-dimensional shape would be 137.5 sq. inches.
Step-by-step explanation:
Given, There is a rectangular prism with a length of 12.5 in., a width of 11 in. and a height of 4 in.
If we make a horizontal slice through it, then we will have two-dimensional figure called 'rectangle' with dimensions length by width as 12.5 in. by 11 in. [As per given]
Then, the area of the exposed 2-dimensional shape = Area of the reactngle
= Length x width
[tex]=12.5\text{ in.}\times11\text{ in.}\\\\=137.5\text{ in.}^2[/tex]
Hence, the required area of the exposed 2-dimensional shape would be 137.5 sq. inches.
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
Answer:
1/12
Step-by-step explanation:
Probability of 4 = 1/6
Probability tail = 1/2
Multiply them
Answer:
1/12
Step-by-step explanation:
Probability of 4 = 1/6
Probability tail = 1/2
1/6 x 1/2 = 1/12
A cone and cylinder have the same height and their bases are congruent circles. If the
volume of the cylinder is 120 in3, what is the volume of the cone?
Answer:
40 in³
Step-by-step explanation:
You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.
FormulasThe formulas for the volume of a cylinder and cone are ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
V = 1/3πr²h . . . . . volume of a cone with radius r and height h
Cone volumeIf the volume of the cylinder is such that ...
πr²h = 120 in³,
we can substitute for πr²h in the formula for the volume of the cone:
V = 1/3πr²h = 1/3(120 in³) = 40 in³
The volume of the cone is 40 in³.
What’s the correct answer for this?
Answer:
Option (2)
Step-by-step explanation:
Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0
Now we will convert this equation into the standard equation of the circle.
x² + 12y + 22x + y² - 167 = 0
(x² + 22x) + (y² + 12y) = 167
[x² + 2(11)x] + [y² + 2(6y)] = 167
[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167
[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167
(x + 11)² + (y + 6)²- (11)²- (6)² = 167
(x + 11)² + (y + 6)² - 121 - 36 = 167
(x + 11)² + (y + 6)² - 157 = 167
(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157
(x + 11)² + (y + 6)² = 324
Therefore, option (2) will be the standard equation of the given circle.
Suppose Lorenzo and Neha are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Lorenzo chooses Right and Neha chooses Right, Lorenzo will receive a payoff of 6 and Neha will receive a payoff of Neha Left RightLorenzo Left 8, 4 4, 5 Right 5, 4 6, 5The only dominant strategy in this game is for _________ (Neha/Lorenzo) to choose ______________(Right/Left)t .The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses ___________ (Right/Left) and Neha chooses _________ (Right/Left) .
Answer:
In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.
The correct option has been inserted in the blank and underlined, please see below:
The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.
Hope that answers the question, have a great day!
what is the circumference of the semicircle
Answer:
[tex]12.56m[/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]
Answer:
this answer is attached to the picture
Is my answer of mine days right.
Answer:
indeed it is
Step-by-step explanation:
A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176
Answer:
We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.
Step-by-step explanation:
hope it helps ig
How many students were asked? How do you know?
Find the median for these data.
Answer:
a=10 students because there are 10 answers.
b=5
Step-by-step explanation:
a=10 students because there are 10 answers.
b, you need to list the numbers all out and rearrange them from smallest to largest.
0, 0, 1, 2, 3, 7, 9, 10, 13, 15
The median means the middle which is 3 and 7
Because we have two numbers, we need to find the middle number of 3 and 7 which is 5
A man loses 20 percent by selling an article for 11 naira. What was the cost price of the article
Answer:
hbbhhhhhggggg
Step-by-step explanation:
vgggggffffff
What is the value of the expression 5 × (4 + 3) – 4
Answer:
31
Step-by-step explanation:
distribution
5(4+3) - 4
20+15-4
=31
Answer:
19
Step-by-step explanation:
5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps
Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.
Does the graphed relation define a function?
a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.
Answer:
There are going to be 7 sections in the path
Step-by-step explanation:
First Step:
Simplify 2/16 in 1/8
Second Step:
Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.
744-__=312+220 I m in need