Answer:
Part A
1. After 4 weeks of work, Jeremy has saved 300
2. Jeremy worked 8 weeks in order to save $600
3. For every one week of work, Jeremy saved 75 dollars
4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars
Part B
1. Saeed orders 15 meals and his total cost of delivery is $24
2. Saeed paid $32 to have 20 meals delivered
3. For every meal delivered, Saeed is charged $1.6
4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals
Step-by-step explanation:
Part A
The given graph gives the proportional relationship between total amount saved and the number of weeks worked
1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300
Therefore;
After 4 weeks of work, Jeremy has saved 300
2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8
Therefore;
Jeremy worked 8 weeks in order to save $600.
3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;
Rate of change, m = Constant = y/x
∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week
Therefore;
For every one week of work, Jeremy saved 75 dollars
4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;
A = m × n
Where;
m = The rate of change of the amount saved to the number of weeks worked = 75/week
n = The number of weeks worked
∴ A = 75/week × 15 = $1,125
Therefore;
If Jeremy works 15 weeks, then he can expect to save 1,125 dollars
Part B
From the graph, we have;
1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals
At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24
Therefore;
1. Saeed orders 15 meals and his total cost of delivery is $24
2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20
Therefore;
Saeed paid $32 to have 20 meals delivered
3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;
m = y/x (for proportional relationships)
Taking any corresponding 'x' and y-values
m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal
Therefore;
For every meal delivered, Saeed is charged $1.6
4. From m = y/x = 1.6
When y = $19.20
x = y/m = $19.20/($1.6/meal) = 12 meals
Therefore;
If Saeed pays $19.20 in delivery fees then he ordered 12 meals.
Let f (x) = -1/2(x + 2)+ 5
-3 to x=1?
What is the average rate of change for the quadratic function from x=-3 to x=1
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = [tex] \frac{0.5 - 4.5}{1 - (-3)} [/tex]
Rate of change = [tex] \frac{-4}{4} [/tex]
Rate of change = -1
Solve for x.
9 - 3x = 1 + x
Answer:
x=2
Step-by-step explanation:
9
−
3
=
1
+
{\color{#c92786}{9-3x}}=1+x
9−3x=1+x
−
3
+
9
=
1
+
Answer:
2
Step-by-step explanation:
9-3x=1+x
9-3x-x=1
9-4x=1
4x=9-1
4x=8
x=8/4
x=2
if the endpoints of a circles are at (-5, 6) and (3, -7), what is the length of the radius rounded to the nearest tenth?
Answer:
7.632169 units
Step-by-step explanation:
7.6 is radius Step-by-step explanation:
Consider the function f(x)=x^2
What effect does adding 2 to the input have on the graph of the function?
(a) shifts the graph right 2
(b) shifts the graph up 2
(c) shifts the graph down 2
(d) compresses the graph horizontally by 2
(e) stretches the graph vertically by 2
(f) shifts the graph left 2
Answer:
b
Step-by-step explanation:
if the 2 is like this (x+2) it would move to the left but if its like this x+2 it would move up
OH LORD THIS IS A NIGHTMARE FOR ME
Answer:
∠1 = 150°
Step-by-step explanation:
supplementary angle to angle 1 = 180° - 100° - 50° = 30°
∠1 = 180° - 30° = 150°
There are 90 girls and 60 boys in sixth grade at a middle school. Of these students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders write left-handed.
10%
8%
5%
15%
Answer:
8% of the kids are left-handed. I used 12/150 to yield 0.08 which equals 8%
What type of triangle is a 45/45/90 triangle?
Answer:
An isosceles triangle.
Step-by-step explanation:
Answer:
right isosceles
Step-by-step explanation:
The Johnson family pays 1,783 per month for rent. If the cost of their rent remains the same, how much will they pay for rent over 15 years?
Answer:
1 year= 12 months
1 months rent=1783
1783x12=21396
15 years = 180 months
the equation would be
1783x180=320940
or
21396x15= 320940
Nieves y Ana juegan tres partidas partidas. Nieves tenía 10 cromos y Ana 80. En la primera partida ganó Nieves y elevó sus cromos al cuadrado, en la segunda perdió el cubo de 3, y en la tercera perdió el cuadrado de 4. ¿Cuántos cromos les quedan a Ana y a Nieves?¿Quién ha ganado?
Answer:
A Nieves le quedan 57 cromos y a Ana 33.
Nieves ha ganado 47 cromos
Step-by-step explanation:
Para la primera partida, el cuadrado de los cromos de Nieves es de 100.
El cubo de 3 es 27. Nieves queda con 100-27 = 73 cromos
El cuadrado de 4 es 16. Nieves queda con 73-16 = 57 cromos
A Nieves le quedan 57 cromos
A Ana 90-57 = 33 cromos
Así, Nieves ha ganado 57-10 = 47 cromos
Sarah surveyed 100 people. She asked each person two
Sarah made the following two-way table to display information about the responces
of the people Sarah surveyed who listen to jazz, what is the probability that a randomly
selected person also plays a musical instrument?
Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p.
Answer:
The best point estimate of the population proportion p is 0.0251.
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In clinical trials, among 4547 patients treated with the drug, 114 developed the adverse reaction of nausea.
This means that [tex]n = 4547, \pi = \frac{114}{4547} = 0.0251[/tex]
The best point estimate of the population proportion p is 0.0251.
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 - 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0191[/tex]
The upper limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 + 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0311[/tex]
The 99% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).
2. 5x2 + 16x - 84 = 0
Helppp please
Answer:
the x would equal 25 as 5x2 is 10 + 16x25 - 84 is 0.
Step-by-step explanation:
Answer:
2.8, –6
Step-by-step explanation:
The equation is already instandard form. Use the quadraticformula.5x2+16x−84=0x=−b±b2−4ac√2aSubstitute 5 for a, 16 for b,and −84 for c. Solve to getx=2. 8 or x=− 6.
Plot the vertices (–4, –4), (–2, 1), and (5, 1).
To form a parallelogram, plot the last vertex at point
✔ (3, –4)
.
The area of the parallelogram is
✔ 35
square units.
Answer:
✔ (3, –4)
✔ 35
Step-by-step explanation:
Math
Can anyone help me with this question? I can’t find the answer for the ? Box
The question(s) are :
-4 - ? = -7
? - (-3) = 5
All we need to do is get the ? by itself in both equations.
-4 - ? = - 7
-? = -7 + 4
-? = -3
? = 3
? - ( -3) = 5
? + 3 = 5
? = 5 - 3
? = 2
Answer:
First ?: 3
Second ?: 2
Step-by-step explanation:
Do the inverse operation of what is shown to get the answer.
First ?:
-4 - ? = -7
-7 + 4 = -?
-3 = -?
3 = ?
Second ?:
? + 3 = 5 (Two negatives in a row make a positive.)
5 - 3 = ?
2 = ?
I hope this helps! \(★ω★)/
Calculate the interest
Answer:
120$
Step-by-step explanation:
as we know the formula to calculate i is (ptr)/100
so i =(1000×6×2)/100
=(12000)/100
=120$
Which of the following is true? A) −16=−16 B) −29>24 C) −47<−43 D) −70<−77
Answer:
A and C are true.
Step-by-step explanation:
-16 = -16 that's just a given, they are the same number. And -47 is less than -43, since -43 would be a higher number considering it's in the negatives.
What angle pair is pictured?
1)Alternate lantern angles
2)corresponding angles
3)same-side interior angles
4)Alternate exterior angles
Step-by-step explanation:
Alternate and corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
it has six points
it is a corresponding angles
David puts 0 . 40.4 liters of solution in each of 55 beakers.
How much solution is there in total?
Answer:
2 liters
Step-by-step explanation:
There are 5 beakers in total, in which David adds 0.4 liters into each of them. To solve, multiply 5 with 0.4: 5 x 0.4 = 2.0 2.0 or 2 liters is your answer.
Answer: 2 liters
Step-by-step explanation: There are 5 beakers in total, in which David adds 0.4 liters into each of them. To solve, multiply 5 with 0.4: 5 x 0.4 = 2.0
2.0 or 2 liters is your answer.
can someone help?? i’ll mark brainlist
Answer:
G. y = -[tex]\frac{1}{9}[/tex](x - 2)² -3
Step-by-step explanation:
There's this website called Desmos it has graphing calculators that will help you on these type of questions. This is not a random website so please trust me.
thanks for help have nice day
Answer: 6. d
7. b
8. d
9. c
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Solve for c when,
[tex]7c = 28[/tex]
Answer:
c = 4
Step-by-step explanation:
hope this helps
help asap pls, thank u
Answer:
1243.4 [tex]cm^{3}[/tex]
Step-by-step explanation:
If x = 4, y = 3, z = -5, then evaluate: z - z + x - y
Answer:
The answer is 1
Step-by-step explanation:
z-z+x-y
(-5)-(-5)+(4)-(3)
-5+5+4-3
4-3
1
hasil dari 64^5/6 + 27^2/3 - 81^3/4 adalah
tolong bantuannya kakak kakak
Answer:
14
Step-by-step explanation:
Given the indicinal expression 64^5/6 + 27^2/3 - 81^3/4
According to indices;
[tex]a^{m/n} = (\sqrt[n]{a}) ^m[/tex]
Applying this to the question
[tex]64^{5/6} \\= (\sqrt[6]{64}) ^5\\= 2^5= 32[/tex]
Similarly
[tex]27^{2/3}\\= (\sqrt[3]{27}) ^2\\= 3^2\\= 9\\[/tex]
Also;
[tex]81^{3/4}\\= (\sqrt[4]{81}) ^3\\= 3^3\\= 27[/tex]
Substitute inti the original equation
64^5/6 + 27^2/3 - 81^3/4
= 32 + 9- 27
= 41 - 27
= 14
Hence the required answer is 14
y+8 can be translated as "the
of a number and elght."
quotient
product
difference
sum
Please help me! This may be easy for some of you..
Answer:
9) 5
10) 5x+2
11) -1
12) -x+6
Alice has 15 times as many crayons as Bryan. Write an equation to find the total number of crayons that Alice has.
Answer:
a = 15b
Step-by-step explanation:
It's given in the question that Alice has 15 times as many crayons as Bryan.
Let the number of crayons with Bryan = b
And the number of crayons with Alice = a
Therefore, equation representing the number of crayons with Alice will be,
a = 15b
PLS HELP I PROMISE ILL GIVE U BRAINLEST
5:15pm was the start time.
What is the slope represented in the table ?
Answer:
slope:2
Step-by-step explanation:
Slope is rise/run, or change in y/change in x.
With that being said, we only need two points to solve this.
Let's take the points (0,7) and (1,9)
The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).
M is the slope.
y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.
x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.
Plugging those values in to the formula, we get m=(9-7)/(1-0)
Simplifying, we get m=2/1, which is m=2.