Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
If the edge of a square measures 3x, which expression represents the perimeter?
A) 12x B) 3x + 4 C) 6x D) 6x2
Answer:
A
Step-by-step explanation:
3x × 4 =12x
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Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
What is the value of v?
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Complete the statements.
Graph__ has one real root.
Graph__ has a negative discriminant.
Graph __ has an equation with coefficients.
A=1 B=4 C=-2
Answer:
1. B
2. A
3.C
Step-by-step explanation:
Use the distributive property to multiply (2 w + 7)(2 w - 7).
Answer:
[tex]4w^{2} -49[/tex]
Step-by-step explanation:
Expand (2w+7)(2w−7)
2w(2w-7)+7(2w-7)
2w(2w)+2w*-7+7(2w-7)
2w(2w)+2w*-7+7(2w)+7*-7
What is the area of square FGHI?
Answer:
Step-by-step explanation:
To get a length of any side 8+10=18
the area= L^2=
18^2=324m
Options are line ED, line EH or line CD
Answer:
ED and CF are paralell to eachother
I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters
Answer:
2×10¹⁰ m²Step-by-step explanation:
Dimensions of rectangle:
5×10⁵ m and 4×10⁴ mThe area is the product of the two dimensions:
5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²Each dance class is 3/4 hour it takes a student 7 1/2 hours to learn a dance routine
Answer: 10
Step-by-step explanation:
Well i got 10 if your asking what i think u are
7 1/2 divided by 3/4 = 10
Answer:
The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.
Step-by-step explanation:
The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.
-8d-5d+7d=72 can you help me figure out d
Answer:
d = -12
Step-by-step explanation:
Add -8 -5 +7
take that number : -6
72 divided by -6 = -12
d = -12
Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?
If a box 100 tea bags cost $4.52 how much does one tea bag cost? (please show work)
Answer:
$0.0452
Step-by-step explanation:
100 tea bags coat $4.52
1 " " " 4.52/100
$ 0.0452
Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.
Answer:
p x 0.79 = 7.90 or 0.79 x p =7.90
Look at the right triangle shown below. Which of the folllowing could not be the triangle’s dimensions?
Answer:
5,12,13
Step-by-step explanation:
The sides are almost close for the distance and so 5 doenst go with 12 and 13, its too small. For dimensions while the other numbers are close to being related. Do you know what I mean?
Hope this helped a little tho!
What is the gradient of the straight line 2y = -3x - 8 ?
Answer:
- [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
2y = - 3x - 8 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x - 4 ← in slope- intercept form
with gradient = - [tex]\frac{3}{2}[/tex]
The gradient of the straight line 2y = -3x - 8 will be -1.5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
The slope(gradient) 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the equation of the line is, 2y = -3x - 8
Rearrange the equation in the standard form of the equation as
2y = -3x - 8
y=-3/2 x-8/2
y= -1.5x - 4
Compare the obtained equation with the standard equation,y=mx+b. Where m is the gradient of the straight line.
m= -1.5
Thus, the gradient of the straight line 2y = -3x - 8 will be -1.5.
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The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
Answer:
14z-9
Step-by-step explanation:
[tex]\frac{84z-54}{6}[/tex]
WILL GIVE 100 POINTS AND BRAINLIEST TO FIRST TO ANSWER CORRECT
RQ = TQ
1 2
RS _____ ST
Choose the relationship symbol to make a true statement.
Answer:
>
Step-by-step explanation:
In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!
Also I did this question myself and this was correct. :D.
Which expression is equivalent to 45 + 9
A. 5(49 + 4)
B. 2(43 + 7)
C.9(5 + 1)
D.15 (3 + 6)
Answer:
9(5+1)
Step-by-step explanation:
9 x 5= 45
9 x 1= 9
Answer:
c
Step-by-step explanation:
9(5+1)
distribute the 9 into the ( )
45+9
Javier and Ebony track the number of steps they walk. Javier records a walk of 6000 steps in 50 minutes. Ebony describes her step rate with the equation y=118, where y is the number of steps and x is the number of minutes she walks. This week, Javier and Ebony each walk a total of 5 hours. Who walks more steps?
Answer:
Javier walks more steps than ebony given the same minutes
Step-by-step explanation:
Javier records a walk of 6000 steps in 50 minutes.
Ebony describes her step rate with the equation y=118x
Where,
y = number of steps
x = number of minutes she walks
Javier and Ebony each walk a total of 5 hours. Who walks more steps?
5 hours = 5 × 60 minutes
= 300 minutes
Javier records a walk of 6000 steps in 50 minutes.
6000 : 50 minutes = x : 300 minutes
6000/50 = x / 300
Cross product
6000 * 300 = 50 * x
1,800,000 = 50x
x = 1,800,000 / 50
= 36,000
x = 36,000
Javier walks 36,000 steps
Ebony describes her step rate with the equation y = 118x
x = 300 minutes
y = 118(300)
= 35,400
y = 35,400
Ebony walks 35,400 steps
Therefore,
Javier walks more steps than ebony given the same minutes
Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral ABCD on a coordinate grid with A(1, 4), B(6, 6), C(4, 1), and D(–1, –1).
a. A rhombus has 4 sides that are equal length. Is ABCD a rhombus? Show how you know.
b. Write the equations of the lines on which the diagonals lie. That is, write the equations of lines AC and BD.
c. Compare the slopes of lines AC and BD. What do you notice?
Answer:
a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus
b. The equation of the diagonal line AC is y = 5 - x
The equation of the diagonal line BD is y = 5 - x
c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other
Step-by-step explanation:
The vertices of the given quadrilateral are;
A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)
a. The length, l, of the sides of the given quadrilateral are given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The length of side AB, with A = (1, 4) and B = (6, 6) gives;
[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]
The length of side BC, with B = (6, 6) and C = (4, 1) gives;
[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]
The length of side CD, with C = (4, 1) and D = (-1, -1) gives;
[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]
The length of side DA, with D = (-1, -1) and A = (1,4) gives;
[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]
Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus
b. The diagonals are AC and BD
The slope, m, of AC is given by the formula for the slope of a straight line as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore;
[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]
The equation of the diagonal AC in point and slope form is given as follows;
y - 4 = -1×(x - 1)
y = -x + 1 + 4
The equation of the diagonal AC is y = 5 - x
[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]
The equation of the diagonal BD in point and slope form is given as follows;
y - 6 = 1×(x - 6)
y = x - 6 + 6 = x
The equation of the diagonal BD is y = x
c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;
The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs
The point of intersection of the two diagonals is given as follows;
5 - x = x
∴ x = 5/2 = 2.5
y = x = 2.5
The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.
Find the midpoint between (3 , -4) and (6 , 1). Group of answer choices
Answer:
[tex](4.5, -1.5)[/tex]
Step-by-step explanation:
[tex](\frac{3+6}{2}, \frac{-4+1}{2})\\(4.5, -1.5)[/tex]
If f(x) = x^3, what is the equation of the graphed function?
A. y = f(x-3) - 2
B. y = f(x+3) - 2
C. y = f(x+2) - 3
D. y = f(x-2) + 3
Answer:
b
Step-by-step explanation:
Just did the test got it right
The equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2
How to determine the function g(x)?The equation of the function f(x) is given as:
f(x) = x^3
The function g(x) is shifted down by 2 units and shifted left by 3 units, to get the function g(x)
This means that:
g(x) = f(x + 3) - 2
So, we have:
g(x) = f(x + 3) - 2
Hence, the equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2
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It's timed plzzz help!!!
Answer:
2A/p
the last option
Step-by-step explanation:
gl!!!
Please answer !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 55 degrees
Step-by-step explanation:
180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.
Answer:55
Step-by-step explanation:
Steps below
Can someone explain this to me please?
Answer:
Option C
Step-by-step explanation:
Since, measure of all sides of the triangle has been given in the picture,
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(BC)cos(B)
11² = 16² + 16² - 2(16)(16)cos(B)
121 = 256 + 256 - 512.cos(B)
121 - 512 = - 512.cos(B)
cos(B) = [tex]\frac{391}{512}[/tex] = 0.763672
B = [tex]cos^{-1}(0.763672)[/tex]
B = 40.2°
Therefore, measure of angle B is 40.2°.
Option C is the answer.
The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?
Answer:
k = 0.25t^2
Step-by-step explanation:
Given the equation :
b = 0.25t
b = number of inches that has burned away
t = time
From our knowledge of variation;
Since candle length will decrease with time ;
b α 1/ t
b = k/t
Where k is the proportionality constant
Comparing the equation :
b = 0.25t
k/t = 0.25t
k = 0.25t^2
At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning
Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.
Step-by-step explanation:
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.
For #3, graph the inequality.
3.
y > x2 + 2x -8
Answer:
Please find attached the required graph of the inequality, y created using Microsoft Excel
Step-by-step explanation:
The inequality is presented as follows;
y > x² + 2·x - 8
We can graph the inequality using Microsoft Excel by generating the data points as follows;
x [tex]{}[/tex] y
-9 [tex]{}[/tex] 55
-8 [tex]{}[/tex] 40
-7 [tex]{}[/tex] 27
-6 [tex]{}[/tex] 16
-5 [tex]{}[/tex] 7
-4 [tex]{}[/tex] 0
-3 [tex]{}[/tex] -5
-2 [tex]{}[/tex] -8
-1 [tex]{}[/tex] -9
0 [tex]{}[/tex] -8
1 [tex]{}[/tex] -5
2 [tex]{}[/tex] 0
3 [tex]{}[/tex] 7
4 [tex]{}[/tex] 16
5 [tex]{}[/tex] 27
6 [tex]{}[/tex] 40
7 [tex]{}[/tex] 55
8 [tex]{}[/tex] 72
9 [tex]{}[/tex] 91
The points are plotted and a dashed line is used to join the points to represent the > inequality symbol. The region above the graph of the inequality is then shaded.
The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the students in melvins school. What is the least possible number of student that attended melvins school
Answer: 640 students.
Step-by-step explanation:
given data:
number of student chosen to attend by the mayor = 160
amount this student represents of the total population = [tex]\frac{1}{4}[/tex]
solution:
since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]
therefore;
[tex]\frac{1}{4} = 160\\[/tex]
multiply both sides by 4
[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]
the least number of students that attend melvins school is 640.
If the dividend is a whole number and the divisor is 3.68, how do you move the decimal point for the dividend? The one who answer thank you so much I need it for my math today!!! 12/23/20 Happy new year and Merry Christmas!!! <3
Answer:
Move it two places to the right
Step-by-step explanation:
For example:
10/3.68= 2.717
See attached snip