Let that be x
Use the general formula used for calculating half-life
[tex]\\ \rm\Rrightarrow A=A_o(0.5)^{\frac{t}{h}}[/tex]
H is half-life,t is timetime given xput values
The equation is
[tex]\\ \rm\Rrightarrow A=90(0.5)^{x/17.5}[/tex]
Rectangles T and U are similar. If the area of rectangle T is 40, what is the area of
rectangle U?
10
4.5
Rectangle
T
Rectangle
U
Area = 40
Answer:
Area = 18
Step-by-step explanation:
Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.
Which is an exponential decay function?
f(x) =
4
O f(x) =
13 (7)
O =1 (
O fx)=9)*
f
O flx) = (-3)
9
() =
An exponential decay function is flx) = (-3)9, the correct option is D.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x) =4
An exponential decay function is a function of the form:
f(x) = ab^x
where a and b are positive constants and b < 1.
The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.
To find which option is an exponential decay function, we need to compare their values of b.
Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.
Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.
Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.
Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.
Therefore, by exponential growth and decay the answer will be flx) = (-3)9
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
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What is the volume of the prism?
N-
cm
1 cm
4 cm
o 1 cm3
O 2 cm3
o 4 cm3
o 8 cm
3
The volume of the prism is 2 cm³.
Option B is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of the prism:
= Base area x height
Now,
Base area = 4 x 1 = 4 cm²
Height = 1/2 cm
Now,
The volume of the prism.
= 4 x 1/2
= 2 cm³
Thus,
The volume of the prism is 2 cm³.
Learn more about prism here:
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Find the 63rd term of the arithmetic sequence -1, 5, 11, •
Answer:
The 63rd Term Is 309
Step-by-step explanation:
Hi I could use some help with this, thank u!
Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
The area of a rectangle is
3/8 in and the length is 5/8 What is the width?
Answer:
The width W is :
[tex]W=\frac{3}{5}[/tex]
Step-by-step explanation:
Let A be the area of the rectangle
Let L be the length of the rectangle
Let W be the width of the rectangle
______
Formula:
A = L × W
__________
[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
What is transformaton?This is a technique used to change the position or size of an object on the xy plane.
Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'
If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)
If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)
If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)
Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)
Learn more on transformation here:
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which expression is eqivalent to 4(9+3)
You could do
36+12
4*12
4*9+12
(4*9)+(3*4)
and many more!
Find the circumferences of both circles to the neartlest tenth
Answer with step by step explanation
First, let us find the circumference of the small circle.
The radius of the small circle is 5 cm.
So, now let us see the formula which is needed to find the circumference.
C = 2 π r
Let us find it now.
Circumference of the small circle.
C = 2 π r
C = 2 × 3.14 × 5
C = 31.4 cm
≈ 30 cm → nearest 10th
Now let us find the circumference of the big circle.
The radius of the big circle is 10 cm.
C = 2 π r
C = 2 × 3.14 × 10
C = 62.8 cm
≈ 60 cm → nearest 10th
NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE
1. A rectangular prism has a length of 20 in, a width, of 2 in, and a height of 3 ¼ in. What is the volume of the prism? Question 1 options:
V = 25 ¼ in³
V = 130 ¼ in³
V = 120 ¼ in³
V = 130 in³
2. What is the volume of a box that measures 4 ft. long, 2 ½ ft. wide, and 2 ft. tall?
Question 2 options:
V = 16 ½ ft. ³
V = 20 ft. ³
V = 40 ft. ³
V = 8 ½ ft. ³
3. Find the volume of a right rectangular prism with the measurements: length is 5/4 in, width is 2 in, and height is 4 in.
Question 4 options:
V = 40 in³
V = 2 3/4 in³
V = 11/4 in³
V = 10 in³
Answer:
1. V = 130 in³
Step-by-step explanation:
1. You can find the volume of a rectangular prism with this formula:
( l • w )h
(20 • 2)3 1/4
=
130
And then add the label in³
Answer:2. V = 20 ft³
Step-by-step explanation:2. A box is the same as a rectangular prism.
Use the same formula to find the answer.
(4•2 1/2)2
=
20
And then add the label ft³
Answer:3. V = 10 in³
Step-by-step explanation:3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.
5/4 = 1 1/4 or 1.25
(1.25 • 2)2
=
10
And then add the label in³
PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!
Do number 9 please thank you
Answer:
82cm
Step-by-step explanation:
ihope it helps thanks
A researcher wants to study the math scores of high school students in the state of Florida.
Select all
the samples that are biased.
Send a voluntary on-line questionnaire to all Florida high school students.
Randomly select 2,500 high school students in the state of Florida.
Select all students in 20 schools, selected through random sampling.
Select all students in all Miami high schools.
Using sampling concepts, it is found that these following sample is biased.
Select all students in all Miami high schools.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:
Select all students in all Miami high schools.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Vertical angles are always adjacent. True False
Answer:
False
Step-by-step explanation:
Vertical angles are not always adjacent, but they are always congruent.
Hope that helps!
Answer:
False
Step-by-step explanation:
Hope it will help you*
Which of the following situations best completes the following statement:
When subtracting an integer is the same as _____.
multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite
Answer:
The answer would be adding its opposite.
Answer:
its subtracting its opposite
Step-by-step explanation:
if 3^2x+1 = 3^x+5 what happened the value of x
Answer:
x = 4
Step-by-step explanation:
See attachment.
A rectangle has an area of 54 sq. cm and a length of 6 cm. Find its width
Answer:
9 cm
Step-by-step explanation:
A= lw
54=6w
9=w
Answer:
9 cm
Step-by-step explanation:
⇒ Area of rectangle = (L)(B)
Substitute the length, breadth, and the area in the formula:
⇒ Area of rectangle = (L)(B) = 54 cm²
⇒ (6)(B) = 54 cm²
Divide 6 both sides:
⇒ (6)(B)/6 = 54/6 cm²
⇒ B = 9 cm
Thus, the measure of the width is 9 cm.
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
How many people between the ages of 35 and 54 prefer football?
Answer:
the answer is five 5 students prefer football
here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4
Answer:
(1.2, 1.6)
Step-by-step explanation:
Rewrite both equations to make y the subject:
Equation 1: 3x - y = 2
⇒ 3x = 2 + y
⇒ y = 3x - 2
This line has a positive slope.
Equation 2: 2x + y = 4
⇒ y = -2x + 4
This line has a negative slope.
Therefore, the graph that has been plotted is y = 3x - 2
Plotting second graph
Equation of the line: y = -2x + 4
Input x = 0 into the equation and solve to find the y-intercept:
⇒ y = -2(0) + 4 = 4
Therefore, the y-intercept is (0, 4)
Input y = 0 into the equation and solve to find the x-intercept:
⇒ 0 = -2x + 4
⇒ 2x = 4
⇒ x = 2
Therefore, the x-intercept is (2, 0)
Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.
The solution to the system is the point of intersection of the two lines. From inspection of the graph, this is (1.2, 1.6)
------------------------------------------------------------------------------------------------
Solving algebraically
Equation 1: 3x - y = 2
Equation 2: 2x + y = 4
Sum the equations to eliminate y:
[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]
Solve for x:
[tex]\implies x=\dfrac65=1.2[/tex]
Substitute found value of x into one of the equations and solve for y:
[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]
So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)
Solve for x in the parallelogram.
The solution is x=
units.
[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]
A bag with 6 marbles has 1 yellow marble 2 blue marbles and 3 red marbles. A marble is chosen from the bag at random what is the probability that it is yellow ? write your answer as a fraction in simplest form
A fraction/probability is created by taking what we want and putting that over the total.
In this case, we want yellow out of the total number of marbles.
Yellow Marbles = 1
Total Marbles = 6 + 1 + 2 + 3 = 12
Probability/Fraction = 1 / 12
Hope this helps!
Which list shows the decimals ordered from least to greatest?
0.31, 0.68, 0.16
0.39, 0.49, 0.35
0.42, 0.47, 0.46
0.19, 0.23, 0.28
Answer:
0.19, 0.23, 0.28...............
Find the additive inverse of 4x + 3 .
Answer:
-4x - 3
Step-by-step explanation:
4x + 3 + y = 0
y is additive inverse
y = -4x - 3
-4x - 3 + 4x + 3 = 0
0 = 0
cancels out
PLEASE HELP I NEED HELP
Answer:
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept:
(
0
,
0
)
x
y
0
0
1
1
Select all numbers that are solutions to the inequality w < 3.
A. -7
B. -1.5
C. 1
D. 5
E. 0
Answer:-7,0,1.5
Step-by-step explanation: they are lower then number three
please answer quick!! what are the exact values of x and y? i’ll give brainlist
Answer:
x = 20
y = 10√3, or 17.32
A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer: 47/90
Step-by-step explanation:
3/10+2/9=47/90 somehow ig
The principal at Key North Middle School wants to determine if the 85 students in the seventh grade prefer to collect bottles or sell magazines as their yearly fundraiser. Which of the following is a set of people that could be a representative sample of the population?
Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Help! I need help asap, I will give brainliest
Answer:
15.733in^2
Step-by-step explanation:
For this triangle it would be area=0.5 * b * h * sin(y)
(y) being the angle
(b) being base
(h) being height
Hope this helps and I am pretty sure this is right.
Answer:
is 24
Step-by-step explanation:
because is multiply for 22
What is the slope of the line that goes through the points (2,0( and (4,6)
Answer:
slope = 3x
Step-by-step explanation:
Equation is y = 3x - 6
3x is slope
NEED HELPPPP!!!!!!!!!
Answer:
i think d but i don't know for sure