Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
Which of the following choices is a linear function?
O f(x) = x2 – 3x+ 2
O f(x) = 3x3 – 3x + 2
O f(x) = -3x + 2
Answer:
f (x) = x2 - 3x + 2
Step-by-step explanation:
Answer:
f(x)=-3x+2
Step-by-step explanation:
The first one is a quadtratic function because it is in quadtratic form.
The second one is also not linear because it looks like a squiggly line. Sorry I forgot what they are called but I know it is not linear.
That leaves the last one is is linear and should be going down because there is a negative in front of the coefficient. It also has so exponent to prove why it is linear even further.
Hope this helps!
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
slove for inequality of -6> t-(-13)
Step-by-step explanation:
-6>t-(-13)
= -6>t+13
= -6-13>t
= -19>t
= t<-19
Answer:
t < - 19
Step-by-step explanation:
Given
- 6 > t - (- 13) , that is
- 6 > t + 13 ( subtract 13 from both sides )
- 19 > t , then
t < - 19
The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of the piece of plastic?
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
Find the circumference and the area of a circle with diameter equal to 8.6 inches. Use 3.14 for pi
Please answer it will mean a lot thanks
Answer: Circumference of circle = 27.004 inches
Area of circle = 58.0586 inches²
Step-by-step explanation:
Diameter of circle = 8.6 inches
Pi ([tex]\pi[/tex]) = 3.14
Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)
= 3.14 × 8.6
= 27.004 inches
Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4
= 3.14 × 8.6 × 8.6 / 4
= 3.14 × 73.96 / 4
= 58.0586 inches²
pls help answer, explain it too. I will give brainliest
Pages read by Arnold in 7 minutes = 3 pages
Pages read by Arnold in 1 minutes
= 3/7 pages
= 6/14 pages
Pages read by Brenda in 14 minutes = 8 pages
Pages read by Brenda in 1 minutes = 8/14 pages
(6/14) < (8/14)
So, speed of Arnold < speed of Brenda.
So, Brenda reads faster.
A staircase is being constructed in a new house as displayed on the right. Each tread is 18 cm and each riser is 10cm. Determine the angle of inclination of the stairs.
Answer:
29.1°
Step-by-step explanation:
Given that :
Riser, AB, Opposite = 10 cm
Thread, = AC, Adjacent = 18 cm
Angle of inclination, θ
Using trigonometry :
Tan θ = opposite / Adjacent = AB / AC
Tan θ = 10 / 18
θ = tan^-1(10/18)
θ = 29.055
Hence, angle of inclination is 29.1° (1 decimal place)
will mark brainliest! determine if this is a one solution, no solution, or infinite solution equation
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
What are the roots of this equation x^2-4x+9=0?
Answer:
Roots is a fancy word for zero, which is also another fancy word for the x intercept.
You can factor a quad or use the quadratic equation to get zeros.
In this case, its non-factorable. So you gotta use the quadratic.
Using the quadratic equation you get : x = -2 ± √-1 (√5),
which can be rewritten as x = -2 ± i(√5)
Function was : x^2 + 4x + 9
For quad, I identified the following:
A = 1
B = 4
C = 9
I also added a picture of the formula in the attached.
(f^3-5f+25)-(4f^2-12f+9)
Answer:
3−42+7+16
Step-by-step explanation:
if its simplify
Lines s and t are parallel and r is a transversal.
Which angles are congruent to 4?
a) 2, 5, 8
b) 3, 5, 7
c) 2, 6, 8
d) 3, 7, 2
Answer:
The angles that are congruent to 4 are: 3, 8, and 7.
3 and 4 are vertical angles, 8 and 3 are opposite interior angles, 8 and 7 are vertical angles.
Hope this helps!
find the value of x. give reasons to justify your answer NEED HELP ASAP!!!!
Answer:
[tex]x = 34^\circ[/tex]
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
[tex]m\angle TSU = m\angle PSR[/tex]
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
[tex]\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR[/tex]
We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:
[tex](4x) = m\angle PSQ + (3x)[/tex]
Solve for ∠PSQ:
[tex]m\angle PSQ = x[/tex]
Next, ∠PQS and ∠RQS form a linear pair. Thus:
[tex]m\angle PQS + m\angle RQS = 180^\circ[/tex]
∠RQS measures 68°. Thus:
[tex]m\angle PQS +(68^\circ) = 180^\circ[/tex]
Solve for ∠PQS:
[tex]m\angle PQS = 112^\circ[/tex]
The interior angles of a triangle must total 180°. So, for ΔPQS:
[tex]\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ[/tex]
Substitute in the known values:
[tex](x) + (112^\circ) + (x) = 180^\circ[/tex]
Simplify:
[tex]2x = 68^\circ[/tex]
And divide. Hence:
[tex]x = 34^\circ[/tex]
If f(x)=-2x find x= -1
A.-3
B.-2
C.2
D.0
if i traveled 35 miles on his bike in 3.5 hours what is his rate of speed? i rlly need help- m not sure how to do the steps or whatever
Answer:
hes going 10 miles an hour,
Step-by-step explanation:
if it took you 3.5 hrs and you went 35 miles, you can do 35/3.5=10, which is 10 miles an hour
Answer:
10 miles per hour
Step-by-step explanation:
We know that distance = rate * time
35 miles = rate * 3.5 hours
Divide each side by 3.5 hours
35 miles / 3.5 hours = rate
10 miles per hour = rate
plss i reallly need help
Answer:
7x^2 +7x
------------------
x^2 -9
Step-by-step explanation:
7x (x+1)
------- * ----------
(x+3) (x-3)
Multiply
7x^2 +7x
------------------
x^2 +3x-3x-9
7x^2 +7x
------------------
x^2 -9
Answer:
7x^2 +7x / x^2 -9
Step-by-step explanation:
URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!
pleasee fasterrr !!!!
Answer:
3b (3a - 4b)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
9ab - 12b² ← factor out 3b from each term
= 3b(3a - 4b) → C
77 yd
36 yd
What is the length of the hypotenuse?
C =
yards
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = [tex]\sqrt{7225}[/tex] = 85
Answer:
[tex]85yd[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]
Help mee whats the answerr :( Q: The midpoint of the line segment with the coordinates (9, -8) and (-2, 1) is _
Answer:
(3.5, - 3.5)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(9-2)/2=7/2=3.5
y=(-8+1)/2=-7/2=-3.5
l= 6 ft, w = 2 ft, h= 5 ft what is the surface area of the rectangular prism
104 ft^2
Explanation:
The surface areaa of a rectangular prism is given by the formula:
2 (lw + hl + hw)
l = length
w = width
h = height
Substitute the formula with the givsn dimensions:
2 ([6 x 2] + [5 x 6] + [5 x 2])
= 2 (12 + 30 + 10)
2 (52)
= 104
So the SA is 104 square feet or ft^2
Hope this helps!
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
I need 26/50 simplified so I can answer an assignment
find the missing side lengths
Answer:
[tex]x = \frac{2 \sqrt{3} }{3} [/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
30, 60, 90 triangle
One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number
Answer:
4
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]
[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]
[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]
[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]
The number is 4.
A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age?
Answer:
x=11
Step-by-step explanation:
51-x-5*19= -5x
51-5*19= -4x
4x=5*19-51
4x=95-51
4x=44
x=11
Step-by-step explanation:
let x year ago son age was 5 time his father age.
age of son before x year = 19-x
age of father before x year = 51-x
NOW
according to the question
5(19-x) =51-x
95-5x =51-x
95-51 = -X-5x
44 = 4x
x=11
so your ans is 11years ago
Thomas went for a long hike and burned 675 calories in 2 hours. Marvin decided to go for a bike ride and burned 1,035 calories in 3 hours. Who burned the most calories per hour? Let t represent Thomas's calories burned and m represent Marvin's calories burned. Equivalent Ratio 1: Equivalent Ratio 2: burned the most calories per hour.
Step-by-step explanation:
I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.
Thomas burned 675 cal/ 2 hours.
by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get
337.5 cal / hour
and Marvin burned 1035 cal / 3 hours.
so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :
345 cal / hour
so, Marvin burned more calories per hour.
Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13
Answer: C : 11
Step-by-step explanation:
pls help me due tomorrow
Answer:
Step-by-step explanation:
f(x) = 2x - 4
g(x) = 1/2x - 4
6)
f(4) means that wherever you see an x on the right, you put a 4.
f(4) = 2x - 4
f(4) = 2*4 - 4
f(4) = 8 - 4
f(4) = 4
7)
g(x) = 1/2x - 4
g(2) = 1/2(2) - 4
g(2) = 1 - 4
g(2) = - 3
8)
f(-5) = 2*-5 - 4
f(-5) = -10 - 4
f(-5) = -14
9)
g(-6) = 1/2 ( - 6) - 4
g(-6) = -3 - 4
g(-6) = - 7
Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.
Answer:
your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)
Step-by-step explanation:
The exponential function gotten from the table is given by y = 650(1.045)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multipliers.
Let y represent the bacteria population after x hours.
The class started out with 650 bacteria cells.
a = 650Growth rate = 4.5%
b = 100% + 4.5% = 104.5% = 1.045The exponential function gotten from the table is given by y = 650(1.045)ˣ
After 30 hours:
y = 650(1.045)³⁰ = 2434Find out more on exponential function at: https://brainly.com/question/12940982
Please help explanation if possible
Answer:
y = 3x+6
Step-by-step explanation:
refer to the picture
Answer:
y = 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so slope of parallel line is 3
Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)
y - 9 = 3(x - 1)
y - 9 = 3x - 3 ( add 9 to both sides )
y = 3x + 6 ← in slope- intercept form
