Answer:
what is positive or negative???
Daniel went to Target and bought a magazine for $5.99, a book for $15.99, and a DVD for $20.99. What was his total bill including 6% sales tax?
A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
Is (3, 0) a solution to the equation y = 5x + 3? *
1 point
Answer:
no
Step-by-step explanation:
Substitute x = 3 into the equation and if the result is 0 then it is a solution
y = 5(3) + 3 = 15 + 3 = 18 ≠ 0
Then (3, 0 ) is not a solution to the equation
The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?
Write an inequality for the following statement:
The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35
The formula below represents the standard form of a quadratic equation.
ax2+bx+c=0
Solve for b.
b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c
The tables below each follow a different pattern
Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400
The equations and inequality expresses the relationship between the variables.
The correct responses are;
First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, m, is therefore;
[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; y = 0.5·x - 1
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; 2·n - 6 ≥ 35
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]
Fourth part;
The best correct option is table 4, given that the table is as follows;
[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
75·w + 55 ≤ 400
Learn more about writing equations and inequalities here:
https://brainly.com/question/14321394
Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.
Answer:
the answer is 10,0000
Step-by-step explanation:
Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?
Answer:
she clicks the file
Step-by-step explanation:
Please help me solve this! Very urgent :(
Answer:
last one
Step-by-step explanation:
Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest
Answer: -13
Step-by-step explanation:
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answer:
√26 ≈ 5.10 units
Step-by-step explanation:
The midpoint to which the median is drawn is ...
M = (B +C)/2
M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)
The distance between the first vertex and this point is given by the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10
The length of the median is √26 units.
What is the value of the expression shown below, when p= 1 and q= 4
Answer:
The correct answer is 5.
Step-by-step explanation:
I got 100% on the assignment
Victoria is 30 years old. She has $700 in a checking account, $9000 in a savings account $16,000 in a retirement account, and owns a car worth $6000. What is the total value of her liquid assets?
A. $31,700
B. $9700
C. $15,700
D. $16,000
Answer:
B
Step-by-step explanation:
Please mark as brainliest
Evaluate the expression wx when x = -15 and w = 5. wx = _________.
-3 75 -75 3
Answer:
-75
Step-by-step explanation:
i had the exam so it is write
Kelly has a scarf that is 22 inches long. She folds the scarf in half
three times. How long is the scarf now?
Answer:
2.75 inches or 2 3/4 inches
Step-by-step explanation:
22 / 2 = 11
11 / 2 = 5.5
5.5 / 2 = 2.75
Write 2^100 as a power with the following base of 32.
Answer:
your answer is 30
Step-by-step explanation:
I have completed the test
(This is easy, but confusing) What is 1+ 2+ 3+ 4+ 5 -6 divided by 7 times 8 - 9???
Answer:
=-0.8
Step-by-step explanation:
1+2+3+4+5-6÷7×8-9
15-6÷7×8-9
15-0.85×8- 9
15-6.8-9
=-0.8
Is -4/-19 equivalent to -4/19
Answer:
No
Step-by-step explanation: The first one is positive and the second one is negative
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3
Step-by-step explanation:
The answer is b for sure.
What persent of 240.00 is 60?
Answer:
(240 × 60)/100 = 144
Step-by-step explanation:
(Whole × Percent)/100 = Part
Answer:
25%
Step-by-step explanation:
60 times 4 is equal to 240.
1/4 is 25%
60 is 25% of 240
will mark brainleist pls help
Step-by-step explanation:
Angle c + angle d = 180° ( linear pair)
given,
angle c = 5x + 9
angle d = 5x - 6
now,
5x + 9 + 5x - 6 = 180
10x + 3 = 180
10x = 180 - 3 = 177
10x = 177
x = 177/10 = 17.7
so,
angle C = 5x + 9 = 5(17.7) + 9 = 97.50°
angle D = 5x - 6 = 5(17.7) - 6 = 82.50°
Hope this answer helps you dear! take care!.
What is the slope of the line through (2, -1) and (-2, -3)?
[tex]\text{Given that,}\\\\\\(x_1,y_1) = (2,-1)~~\text{and}~~ (x_2,y_2) = (-2,-3)\\\\\\\text{Slope,}~ m =\dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-3+1}{-2-2} = \dfrac{-2}{-4} = \dfrac 12[/tex]
Answer:
Step-by-step explanation:
Using slope formula:
(y2-y1)/(x2-x1)
(-3 + 1) / (-2-2)
-2/-4
slope: 1/2
what is the quotient of 4/5 divided by 1/3
Answer:
2 2/5
Step-by-step explanation:
Hs math need help on triangle
A 100 , 100 , 160
B 100 , 100 , 100
C 100 , 60 , 20
D 100 , 40 , 40
Answer:
Option D.Step-by-step explanation:
It must be option D because an isosceles triangle always have two angles the same measure and must be a total of 180°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Let other two angles be x
[tex]\\ \tt\Rrightarrow x+x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x+100=180[/tex]
[tex]\\ \tt\Rrightarrow 2x=80[/tex]
[tex]\\ \tt\Rrightarrow x=40[/tex]
Option D is correct
The difference between a and 10 is less than 5
Alex drives at an average speed that is 1 6 of the average speed that Roy's train travels. Alex takes 20 minutes to travel 12 km in her car. Roy travels for 2 hours and 20 minutes on his train. How far does Roy travel to 2 dp?
Answer:
336.00?
not 100% sure though
What are the real and imaginary parts of the complex number ? 16 + 3i
Answer:
Real - 16 Imaginary - 3i
Step-by-step explanation:
If the number has i with it, it's imaginary. If it doesn't have i with it, it's real
It is 5:15 pm now. What time will it be in 40 minutes?
Answer:
5:55 pm
Step-by-step explanation:
Answer:
5:55pm
Mark brainlest if correct
Step-by-step explanation:
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.
Answer:
x=-5, y=-8. (-5, -8).
Step-by-step explanation:
-x+2y=-11
5x-8y=39
---------------
5(-x+2y)=5(-11)
5x-8y=39
---------------------
-5x+10y=-55
5x-8y=39
--------------------
2y=-16
y=-16/2
y=-8
-x+2(-8)=-11
-x-16=-11
-x=-11+16
-x=5
x=-5
Sketch the graph of each linear inequality
Answer:
hope you can see these, the red graph is problem 3 and the blue graph is problem 5 :)
Write an exponential function to model each situation. Find each amount after the
specified time.
A population of 1,236,000 grows 1.3% per year for 10 years
What is the answer to X=7-3y And 2x-4y=-6
I need it
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3