The product of the given fractions is 21.
The given expression is 9 × [tex]2 \frac{1}{3}[/tex]
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Now, the product of fraction can be solved by multiplying numerators and write the result in numerator and multiplying denominators and write the result in denominators.
That is, 9 × [tex]2 \frac{1}{3}[/tex] = 9 × [tex]\frac{7}{3}[/tex] = 21
Therefore, the product of the given fractions is 21.
To learn more about the product of two fraction visit:
https://brainly.com/question/7335118.
#SPJ1
How many 3-digit number can you write with only 4 and 7?
Answer:
8 numbers
Step-by-step explanation:
447
477
474
774
744
747
777
444
48=16 p what Is p ? Please help
Answer:
p = 3
Step-by-step explanation:
48 = 16p
divide both sides by 16
3 = p
Please help!!
How do you do this?
Write a system of inequalities to describe the
shaded region.
Answer:
In Explanation.
Step-by-step explanation:
In situations like this, you want to first find the equations of the individual lines.
Let's start with the left one.
It has a negative slope of 2 while it has a y-intercept of 1
y=-2x+1
is the equation.
The other line has a slope of 3/2.
The y-intercept is not visible, so we need to use point slope form.
I chose (2,-3)
y+3=3/2(x-2)
Simplify.
y=3x/2-3-3
y=3x/2-6
so we have
y=-2x+1
and
y=[tex]\frac{3x}{2}[/tex]-6
Since both lines are solid, the signs are ≥ or ≤
The shadings intersect above both lines so the individual shadings also have to be above the line.
That means the equation is less than the "y".
y≥-2x+1
y≥[tex]\frac{3x}{2}[/tex]-6
If a bass drum has a diameter of 3 feet, which of these represents C, the circumference of the drum?
Answer:
9.42
Step-by-step explanation:
C= 2 times pie times radius
The area of the figure is
square units.
Answer:
80 square units
Step-by-step explanation:
The figure given can be decomposed to have two trapezoids of equal dimensions and a rectangle.
Area of the figure = (2*area of a trapezoid) + (area of a rectangle)
Area of the 2 trapezoids:
Area of the two trapezoid = 2(½(a + b)*h)
Where,
a = 2 + 6 + 2 = 10 units
b = 6 units
h = 2 units
Plug in the values:
Area of the two trapezoid = 2(½(10 + 6)*2)
= 2(½(16)*2)
Area = 32 units²
Area of the rectangle:
Area = length × width
Length = 8 units
Width = 6 units
Area = 8 × 6 = 48 units²
✔️Area of the figure = 32 + 48 = 80 units²
What is the value of x in the equation 2x +3y = 36, when y=6?
O9
O 27
O 36
Answer:
x=9
Step-by-step explanation:
Substitution and solving
[tex]2x+3y=36\\2x+3(6)=36\\2x+18=36\\2x+18-18=36-18\\36/2=2x/2\\x=9[/tex]
The indefinite integral of ((6e^4x)(e^arctan(3e^4x)))/(1+9e^8x)
Answer:
[tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{e^\big{arctan(3e^{4x})}}{2} + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Integration
Integrals[Indefinite Integrals] Integration Constant CIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
U-SolveStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \int {\frac{6e^\big{arctan(3e^{4x}) + 4x}}{1 + 9e^\big{8x}}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = 6\int {\frac{e^\big{arctan(3e^{4x}) + 4x}}{1 + 9e^\big{8x}}} \, dx[/tex]Step 3: integrate Pt. 2
Set variables for u-substitution.
Set u: [tex]\displaystyle u = 4x[/tex][u] Differentiate [Basic Power Rule, Multiplied Constant]: [tex]\displaystyle du = 4 \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{4e^\big{arctan(3e^{4x}) + 4x}}{1 + 9e^\big{8x}}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{e^\big{arctan(3e^u) + u}}{1 + 9e^\big{2u}}} \, du[/tex]Step 5: Integrate Pt. 4
Set variables for u-substitution #2.
Set v: [tex]\displaystyle v = 9e^{2u} + 1[/tex] [v] Differentiate [Exponential Differentiation, Chain Rule]: [tex]\displaystyle dv = 18e^{2u} \ du[/tex][v] U-Solve: [tex]\displaystyle u = ln \Big( \frac{\sqrt{v - 1}}{3} \Big)[/tex][dv] U-Solve: [tex]\displaystyle du = \frac{e^{-2u}}{18} \ dv[/tex][U-Solve] Rewrite u: [tex]\displaystyle e^u = \frac{\sqrt{v - 1}}{3}[/tex]Step 6: Integrate Pt. 5
[Integral] U-Solve: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{e^\big{arctan(3(\frac{\sqrt{v - 1}}{3})) + ln(\frac{\sqrt{v - 1}}{3})}}{1 + 9(\frac{\sqrt{v - 1}}{3})^2} \frac{1}{18e^{2u}}\, dv[/tex][Integral] Simplify: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{\sqrt{v - 1}e^\big{arctan(\sqrt{v - 1})}}{3[1 + v - 1]} \frac{1}{18(\frac{\sqrt{v - 1}}{3})^2}\, dv[/tex][Integral] Simplify: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{\sqrt{v - 1}e^\big{arctan(\sqrt{v - 1})}}{3v} \frac{1}{2(v - 1)}\, dv[/tex][Integral] Simplify: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{3}{2}\int {\frac{e^\big{arctan(\sqrt{v - 1})}}{6v\sqrt{v - 1}} \, dv[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {\bigg( 6e^\big{4x} \cdot \frac{e^\big{arctan(3e^{4x})}}{1 + 9e^\big{8x}} \bigg)} \, dx = \frac{1}{4}\int {\frac{e^\big{arctan(\sqrt{v - 1})}}{v\sqrt{v - 1}} \, dv[/tex]Step 7: Integrate Pt. 6
Set variables for u-substitution #3.
Set z: [tex]\displaystyle z = arctan(\sqrt{v - 1})[/tex][z] Differentiate [Arctrig Differentiation, Chain Rule]: [tex]\displaystyle dz = \frac{1}{2v\sqrt{v - 1}} \ dv[/tex]See attachment for rest of work (would not fit entire answer in answering box).
Find the area of a rectangle with a length of 17 centimeters and a width of 6 centimeters.
Answer:
102 cm ²
Step-by-step explanation:
A magazine survey of a five-year period considered 100 featured actors. The
table to the right shows the "worst" ten actors, in terms of how much their
films returned per dollar that the actor earned.
The set of actors with at least a return of $7.50 are {H, J, K}
What are the set of actors?The actors that would be included in this set include actors that earn an amount equal to $7.50 or an amount greater than $7.50.
A set can be described as a collection of objects whose elements are fixed and cannot be changed. Thus, elements in this set would include those who earn more than or equal to $7.50.
To write a set in a roster form, the elements in the set are written in a row within curly brackets or braces - { }. The elements in the set are then separated by commas.
Please find attached the complete question. To learn more about sets, please check: https://brainly.com/question/13192210
#SPJ1
Beinggreat78, you are ~Summoned~
Answer:
B.
Step-by-step explanation:
0.32 > 0.304 > 0.03
Work and answers are provided in the screenshot attached! :)
.The values of x and y vary directly, and mul
when x = 48, y = 36. Find the value of x when
y = 18
Step-by-step explanation:
In the general scenario we find thaf x exceeds y by 12. If they vary directly it means even though the values x and y change they will always have the constant different 12
x=y+12
:. x=18+12
x=30
I HOPE THIS HELPS
If you have an equation 2/7m= 14, what is the quickest way to get rid of the fraction?
A. Multiply by which means to multiply by 2 and divide by 7
B. Subtract 2/7
C.Divide by 2/7
D. Multiply by which means to multiply by 7 and divide by 2
25% discount for AED 4000
Answer:
The 25% discount on AED 4000 will be: 1000 AED
Step-by-step explanation:
Given
The amount = 4000Discount = 25%In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.
i.e
Discount amount = 25% of 4000
= 25/100 × 4000
= 0.25 × 4000
= 1000 AED
Thus, the 25% discount on AED 4000 will be: 1000 AED
Please show me the work!
Answer:
9/2π cm/s
Step-by-step explanation:
Volume of the spherical balloon V= 4/3πr³
Rate of change of volume dV/dt = dV/dr * dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
If V = 72cm²/s
72 = 16π*dr/dt
dr/dt = 72/16π
dr/dt = 9/2π cm/s
Hence the radius is changing at 9/2π cm/s
Write the equation for line L in point-slope form and slope-intercept form
L is perpendicular to y=2x
The equation of the line in slope intercept form is y = - 1 / 2 x - 5
The equation of the line in point slope form is (y + 4) = - 1 / 2 (x + 2)
How to represent equation in slope intercept form and point slope form?
The equation in a slope intercept form is represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the equation of the line L in slope intercept form.
The line L is perpendicular to y = 2x
Hence,
m₁m₂ = -1
2m₂ = -1
m₂ = -1 / 2
Therefore,
y = - 1 / 2 x + b
let's find b using (-2, -4)
-4 = - 1 / 2 (-2) + b
b = -4 - 1
b = -5
Hence, the equation of the line in slope intercept form is as follows:
y = - 1 / 2 x - 5
The equation of the line in point slope form is represented as follows:
(y - y₁) = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, using (-2, -4),
(y + 4) = - 1 / 2 (x + 2)
learn more on point slope form and slope intercept form here: https://brainly.com/question/24436844
#SPJ1
four hundred thirty-seven
ten-thousandths in decimal form
Answer:
0.0437
Step-by-step explanation:
I can't really explain this one
Answer:
.0437
Step-by-step explanation:
the 4 is in the hundreds spot, the 37 is in the thousands and ten thousandths
The cost of a gallon of orange juice is $3,50, What is the maximum number of containers you can buy for $15
Need help pls help thanks
Answer:
your right
Step-by-step explanation:
Find the percent of decrease. Round the percent to the neares
amount of decrease: 20 pounds
original amount: 80 pounds
Answer:
75% decrease
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/percentage-decrease-calculator.php?v_1=80&v_2=20&action=solve
What is the base when the expression (-1.5)2 • (3.2)5 is written as a single power of 5?
we can rewrite:
(-1.5)²*(3.2)⁵ = 3.76⁵
The new base of the expression is 3.76
What is the new base of the expression?Here we have the expression:
(-1.5)²*(3.2)⁵
And we want to write this as a single expression with a power of 5.
First we can rewrite:
(-1.5)² = x⁵
x = (-1.5)^(2/5)
Then the new base of the expression will be:
x*3.2
(-1.5)^(2/5)*3.2 = 3.76
Then we can rewrite:
(-1.5)²*(3.2)⁵ = 3.76⁵
The new base of the expression is 3.76
If you want to learn more about exponents:
https://brainly.com/question/11464095
#SPJ1
Kamama is making a quilt. She started with a hexagon that she loves. If Kamama wants the rest of her hexagons to be congruent, which transformations can
she use?
Please choose all of the transformations that she can use to create a congruent image.
Fun fact: Kamama is a Cherokee name meaning Butterfly.
Reflection
Translation
Dilation
Rotation
Based on the fact that Kamama wants her hexagons to be congruent, the transformations that she can use are:
ReflectionTranslationRotationWhat transformations give congruent shapes?In order to have congruent shapes, there are three transformations that can be used.
Firstly, it is important to note that congruent shapes have the same size and the same shape. They are identical except for their orientation which may be different.
A reflection would create a congruent shape that would have the same size and angles but the orientation should be different. This is the same as a rotation. A translation will often result in congruent shapes that also have the same orientation. This means that Kanama can use any of these transformations.
Find out more on congruent shapes at https://brainly.com/question/24430586
#SPJ1
Some one please help
I have attached the question
Answer:
a number question's answer is a power 2. and is c power 1
Pleaseee help me on this question
Answer:
B
Step-by-step explanation:
For every 1 liter of water, 0.07 kilograms of salt must be added. They are asking for 0.5 liters of water, which is half of 1 liter. So therefore, they need half of 0.07 kilograms of salt, which is 0.035 kilograms
Answer:
0.035 kg.
Step-by-step explanation:
0.5 liter is 1/2 liter
0.07kilograms / 2 = 0.035kg
When using the quotient rule of exponents, you must _____
coefficients and _____
the exponents.
Answer:
When multiplying exponents of the same base, add the exponents. When dividing exponents of the same base, subtract the exponents. When raising a power to a power, multiply the powers.
Step-by-step explanation:
The bill for Mr. Wilson’s diner meal is $25.50. As a tip, Mr. Wilson gives the server 20% of the meal’s cost. What is the total amount Mr. Wilson’s pays, including tip?
Answer:
$30.60
Step-by-step explanation:
What we know:
The bill for Mr. Wilson's diner meal is $25.50.
He gives a 20% tip to the waiter.
To figure out this tip, multiply 1/5 by 25.5.
1/5 * 51/2
51/10 = $5.10 tip.
Here, it's asking for the total, including the $5.10 tip. So, add $5.10 to $25.50 for $30.60 total, including the tip.
(For a simpler method *multiply 6/5 by $25.5)
2. Complete the truth table for the statement S ^ P.
S P S ^ P T T T F F T F F
Answer:
Step-by-step explanation:
Find the slope of the line from the table.
X
1
4
7
10
у
7
5
3
1
1
can anyone help me ?
Answer: i think u got it write its that one
Step-by-step explanation:
what is the result if you decrease the sum of 78.932 and 721.832 by 389.823 pls
Answer:
410.941
Step-by-step explanation:
What is the solution set for 3x−(x+2)≤4x−4 ? x≥1 x≤−2 x≤−6 x≥3
Answer:
x>1 (the first one)
Step-by-step explanation: