Answer:
Each Postcard is 0.50
Step-by-step explanation:
Subtract 3.50 from 5.00 and have 1.50 then divide 3.
Answer:
$0.50
Step-by-step explanation:
$5 - $3.50 =$ 1.50
[tex]\frac{1.50}{3}[/tex] = $0.50
The perimeter of a rectangle is 104 meters. If the length of the
rectangle is 38 inches, find the area of the rectangle.
Which property is represented by the equation below? (Lesson 1-4)
8•(5•3)=(8•5)•3
Answer:
associative property
Step-by-step explanation:
This is the associative property. The numbers and signs on both sides of the equation stay IN THE SAME ORDER, this is a big hint!
Answer:
associative property
Step-by-step explanation:
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
w2 = 3(243)
3w2 = 243
4w2 = 243
3w2 = 3(243)
Answer:
3w² = 243
Step-by-step explanation:
Width = w
Length = 3w
Area = 243 square units
length *width = 243
3w * w = 243
3w² = 243
The equation that you can used to determine the width of the rectangle with the given area is: 3w² = 243
What is the Area of a Rectangle?Area = (length)(width)
The given dimensions are:
Width = w unitsLength = 3w unitsArea of rectangle = 343 sq. unitsThe equation to se in finding the width (w) of the rectangle will be:
3w(w) = 243
3w² = 243
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What is the answer this question is hard answer fast plz
Answer:
Step-by-step explanation:
I believe it is b
Evaluate the algebraic expression 3f + g,when f = 6, g = 8, h = 12 and j = 2. A. 30 B. 26 C. 17 D. 13
Answer: A.26
Step-by-step explanation:
= 3f+g
= 3 (6)+8
=26
Another word one! Please help only if you know, thank you!
Answer:
Step-by-step explanation:
if C is the right angle,
AB is the hypotenuse
AB^2=AC^2+BC^2
AC^2=13^2-5^2
AC^2=169-25=144
AC=[tex]\sqrt{144}[/tex]=12
AC=12
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
2. For a school project, Terence is taking a survey of students' favorite type
of shoe. Which sampling method would likely provide the representative
sample of the students? *
O Survey 10 students in a math class.
O
Survey only the students wearing sandals.
Survey 20 students who play basketball
Survey every 4th student who walks into the cafeteria.
Survey every 4th student who walks into the cafeteria.
Help !!! ASAP will award lots of points
Answer:
jajjajajja eres bien menos
XYZ is a triangle in which XY = 11 centimeters and YZ = 15 centimeters. The length of XZ is in whole centimeters and is greater than 20 centimeters. What are the possible lengths of XZ?
Answer:
Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
Step-by-step explanation:
According to triangle inequality theorem,
length of one side is less than the sum of remaining two sides.
Also,
[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]
Therefore,
[tex]20<XZ<15+11\\20<XZ<26[/tex]
The length of [tex]XZ[/tex] is in whole centimeters.
Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
1. What is the greatest common factor of
6x2 – 3x + 18?
a. 3
b. 3x
C. 6x
d. There is no GCF
Answer:
a. 3
Step-by-step explanation:
[tex]6 {x}^{2} - 3x + 18 \\ \\ = 3(2 {x}^{2} - x + 6) \\ \\ GCF = 3[/tex]
the greatest common factor of 6x2 – 3x + 18 is 3.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life
Here, given that,
6x2 – 3x + 18
=3×(2x2-x+6)
Hence, the greatest common factor of 6x2 – 3x + 18 is 3.
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can yall help me pls i will give yall the brainliest
Answer: click point (-4,4)
Step-by-step explanation:
here is the answer for the x and y axis
when in brackets x always comes first and y second
in this case x is -4 and y is 4
x axis goes like this----
y axis goes like this |
At any time t ≥ 0, in hours, the rate of growth of a population of bacteria is given by dy/dt = 0.5y. Initially, there are 200 bacteria.
(a) Solve for y, the number of bacteria present, at any time t ≥ 0.
(b) Write and evaluate an expression to find the average number of bacteria in the population for 0 ≤ t ≤ 10.
(c) Write an expression that gives the average rate of bacteria growth over the first 10 hours of growth. Indicate units of measure.
Answer:
(a) The equation for the number of bacteria at time t ≥ 0 is [tex]y = 200\cdot e^{0.5 \cdot t }[/tex]
(b) The average population in the bacteria for 0 ≤ t ≤ 10 is 29,482 bacteria
(c) The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour
Step-by-step explanation:
(a) The given rate of growth of the bacteria population is;
[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]
The initial amount of bacteria = 200
At time, t ≥ 0, we have;
[tex]\dfrac{dy}{y} = 0.5 \cdot dt[/tex]
[tex]\int\limits {\dfrac{dy}{y} } = \int\limits {0.5} \, dt[/tex]
ln(y) = 0.5·t + C
[tex]y = e^{0.5 \cdot t + C}[/tex]
[tex]y = C_1 \cdot e^{0.5 \cdot t }[/tex]
When, t = 0, y = 200, we have;
[tex]200 = C_1 \cdot e^{0.5 \times 0 } = C_1[/tex]
C₁ = 200
The equation for the number of bacteria at time t ≥ 0 is therefore given as follows;
[tex]y = 200\cdot e^{0.5 \cdot t }[/tex]
(b) The expression for the average number of bacteria in the population for 0 ≤ t ≤ 10 is given as follows;
[tex]y = \int\limits^t_0 {0.5 \cdot y} \, dt[/tex]
[tex]y = \int\limits^{10}_0 {0.5 \cdot 200\cdot e^{0.5 \cdot t }} \, dt = \left[200\cdot e^{0.5 \cdot t }\right]^{10}_0 \approx 2,9682.6 - 200 = 29,482.6[/tex]
The average population in the bacteria for 0 ≤ t ≤ 10 is therefore, y = 29,482
(c) The average rate of growth after 10 hours of growth is given as follows;
[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]
[tex]\dfrac{dy}{dt} = 0.5 \cdot 200\cdot e^{0.5 \cdot 10 } = 14,841.32 \ Bacteria/hour[/tex]
The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour
Population functions can either represent growth or decays.
The given parameter is:
[tex]\frac{dy}{dt}= 0.5y[/tex]
(a) Solve for y
We have:
[tex]\frac{dy}{dt}= 0.5y[/tex]
Integrate both sides
[tex]\int \frac{dy}{dt}= \int 0.5y[/tex]
Divide both sides by y, and multiply both sides by dt
[tex]\int \frac{dy}{y}= \int 0.5\ dt[/tex]
Integrate both sides of the equation
[tex]\ln(y) = 0.5t +c[/tex]
Take the exponent of both sides
[tex]y = e^{0.5t +c}[/tex]
This gives
[tex]y = ce^{0.5t}[/tex]
When t = 0, and y = 200.
So, we have:
[tex]200 = ce^{0.5 \times 0}[/tex]
[tex]200 = ce^{0}[/tex]
Evaluate the exponent
[tex]200 = c[/tex]
Rewrite as:
[tex]c = 200[/tex]
Substitute 200 for c in [tex]y = ce^{0.5t}[/tex]
[tex]y = 200e^{0.5t}[/tex]
Hence, the equation for y is [tex]y = 200e^{0.5t}[/tex]
(b) The average number of bacterial for 0 ≤ t ≤ 10.
The average value of the function is calculated as:
[tex]y' = y(10) - y(0)[/tex]
Calculate y(0) and y(10)
[tex]y = 200e^{0.5t}[/tex]
[tex]y(0) = 200e^{0.5(0)}= 200[/tex]
[tex]y(10) = 200e^{0.5\times 10} =29682.6318205[/tex]
So, we have
[tex]y' = y(10) - y(0)[/tex]
[tex]y' = 29682.6318205 - 200[/tex]
[tex]y' = 29482.6318205}[/tex]
[tex]y' = 29483[/tex]
Hence, The average number of bacterial for 0 ≤ t ≤ 10 is 29483
(c) The average rate over the first 10 hours of growth
We have:
[tex]\frac{dy}{dt}= 0.5y[/tex]
Substitute [tex]y = 200e^{0.5t}[/tex]
[tex]\frac{dy}{dt}= 0.5 \times 200e^{0.5t}[/tex]
[tex]\frac{dy}{dt}= 100e^{0.5t}[/tex]
When t = 10, we have:
[tex]\frac{dy}{dt}= 100e^{0.5 \times 10}[/tex]
[tex]\frac{dy}{dt}= 100e^{5}[/tex]
[tex]\frac{dy}{dt}= 14841[/tex]
Hence, the average rate over the first 10 hours of growth is 14841
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D) 9. What is the solution to this equation?
2x + 10 = 28
Answer:
X=9
Step-by-step explanation:
I know this because you can find the answer by doing 28 - 10 which equals 18 and 2 times 9 gets you 18 and would make the equation
( 2 times 9) + 10= 28
18 + 10=28
PLZZZZ HELP ME WITH THIS QUESTION WITH AN EXPLANATION
Answer :
Given : A and B are complementary angles. B and C are complementary angles.
Prove : A C
I have attached a picture of me doing it. Hope this helps, thank you :) !!
negative 7 over 3, the whole multiplied by x minus 3 equals negative 52
Answer:
21
Step-by-step explanation:
Here is an inequality: -2x>10.
List some values for x that would make this inequality true.
How are the solutions to the inequality -2x10 different from the solutions to -2x>10? Explain your reasoning.
Answer:
The difference is -2x10 is basically-2 times x times 10.
Step-by-step explanation:
Cuz i said so
The x values that makes the given inequality true are -10, -9, -8, -7 and -6.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -2x>10.
Divide -2 on both the sides of an inequality, we get
x<-5
So, the solution is {.......-10, -9, -8, -7, -6}
Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.
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5 nickles to 2 dollars
Answer:
1/8
Step-by-step explanation:
plz brainliest
find the area of the figure
Answer:
area = 92 yd²
Step-by-step explanation:
13x8 = 104
3x8x0.5 = 12
104 - 12 = 92 yd²
Answer:
Step-by-step explanation:
if 24 golf balls weigh 2 1/4 pounds, how much would 60 golf balls weigh
Answer:
5.625 pounds or 5 5/8 pounds
Step-by-step explanation:
(2 1/4)/24 = weight of one golf ball = 0.09375
0.09375 x 60 = 5.625 pounds or 5 5/8 pounds
Answer:
5.625 pounds or 5 5/8 pounds as a fraction
Step-by-step explanation:
Hi i have this class work of my cousing
but i need some help beacause i forgot this
the first question is 5_8
Answer:
5 < 8
-4 < 0
0 < 4
-5 < 5
-9 > -19
-5 > -8
Step-by-step explanation:
Remember, the "Alligator" or better known as the "Packman" symbol ( > < )
It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8
help please i rlly need it
A rectangular playground is 28m long and 15m wide. If all sides are
extended lm outward, what is the area of the enlarged playground ?
Answer:
464m^2
Step-by-step explanation:
Given data
Dimension of the regular playground
Length= 28m
Width= 15 m
We want to extend both sides by 1 m
Length= 28+1= 29m
Width= 15+1= 16m
Hence the area
Area=Length*Width
Area= 29*16
Area= 464m^2
The Area is 464m^2
4. Find the x-intercepts of the functions. (a) g(x)= 4x² +12x +9
Answer:
x = -3/2 or -1.5
Step-by-step explanation:
Factor function into (2x+3)(2x+3) Set 2x+3 equal to 0Solve 2x+3=02x=-3x = -3/2I need help with these questions (see image). Please show workings.
Answer:
Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.As per above two statements we have:
y = 2*58° = 116°and
z = 90°/2 = 45°Answer:
y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle
z=90/2=45
inscribed angle is half of central angle of the cyclic quadrilateral
−3(3h−1)≤−7h−5
kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
h<=4
Step-by-step explanation:
-9h+3<=-7h-5
-9h+7h<=-5-3
-2h<=-8
h<=4
2400000 in standard form
Answer:
2.4 is the correct answer
The equation of a circle is 3x^2+3y^2_7x_6y_3=0.Find the length of its diameter.
I assume the _ characters are supposed to be minus signs, as in
3x ² + 3y ² - 7x - 6y - 3 = 0
Move the 3 to the right sides, and complete the square in x and y :
(3x ² - 7x) + (3y ² - 6y ) = 3
3 (x ² - 7/3 x) + 3 (y ² - 2y ) = 3
x ² - 7/3 x + y ² - 2y = 1
(x ² - 7/3 x + 49/36) + (y ² - 2y + 1) = 1 + 49/36 + 1
(x - 7/6)² + (y - 1)² = 121/36
(x - 7/6)² + (y - 1)² = (11/6)²
The circle thus has radius 11/6, so its diameter is 2 • 11/6 = 11/3.
please help me with it
Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
30^2 + b^2 = 35^2
b^2 = 325
b=18.03
Let me know if this helps!
Find m Help! Will mark brainliest!
Answer:
Answer is A! 38 degrees
Step-by-step explanation:
opposite side is the same