Answer:
Option C.
Step-by-step explanation:
It is given that, a menu at a local diner has
Appetizers = 12
Entrees = 8
Choice of desserts = 4
We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.
Total ways to select an Appetizers = 12
Total ways to select an entrees = 8
Total ways to select a desserts = 4
Now,
Total combinations for different meal [tex]=12\times 8\times 4=384[/tex]
Therefore, the correct option is C.
Answer:
see below
Step-by-step explanation:
the answer is c
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year? The graph starts on the left near the x-axis, and near the point negative 20 comma 5 curves upward to the right. The graph starts on the left near the horizontal line x equal 25, and near the point negative 20 comma 30, the graph curves upward to the right. The graph starts on the top left near the y-axis and moves downward to the right. The graph makes a sharp turn near the point 10 comma 2.5 and continues to the right along the x-axis. The graph starts on the top left near the y-axis and moves downward to the right. The graph makes a sharp turn near the point 5 comma negative 30 and continues to the right along the horizontal line x equals negative 25.
Answer:
C
Step-by-step explanation:
The required graph has been attached below which shows the boat's value decreasing at a rate of 40% per year.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A boat's value over time is given as the function f(x) and graphed below. A(x) = 400(b)ˣ + 0 as the parent function.
Given that the boat's value decreases at a rate of 40% per year.
So after each year, the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.
So the equation becomes: A(x) = 400(0.60)ˣ + 0
Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.
The attached graph meets these requirements.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
Find the product.
(6xyz4)(5xy3)
PLEASE HELP!!! ASAP!!
Answer:
[tex]30x^2y^4z^4[/tex]
Step-by-step explanation:
If we multiply 6x by 5x, we get [tex]30x^2[/tex].
If we multiply y by [tex]y^{3}[/tex], we get [tex]y^{4}[/tex].
z stays the same, since it's not being multiplied by anything.
Hope this helped!
Answer:
Step-by-step explanation:
Multiply each term:
30x^2y^4z^4
Plz mark me brainliest!!
What is the answer now in two minutes
Answer:
m<R=48.2 to the nearest tenth
Step-by-step explanation:
1. sin(m<T)=2/3
m<T=arcsin(2/3)=41.81 degrees
m<R=180-90-m<T=180-90-41.81=48.19 degrees
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?
Answer: the answer is b(5)
Step-by-step explanation:
To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.
Answer:
b(3)=-16
Step-by-step explanation:
We have to figure out the second term
b(2)=b(1)-7
b(2)=-2-7
b(2)=-9
and now the third one
b(3)=b(2)-7
b(3)=-9-7
b(3)=-16
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet: A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years. At least how many schools have participated for more than 1 year and less than 6 years?
Answer:
Step-by-step explanation:
The box encloses data between the two quartiles, namely at least half of the data. If there are 40 schools, then half of them would be in the box, between 1 and 6.
see attached plot.
Answer:
really hard to tell what the box plot is like without an attachment so im gonna help u find it out anyway
Step-by-step explanation:
basically when u look at a box plot and the range the line in the middle is the median and then the max the lowest range the lower quartile and then the higher quartile you can find ur anser, simply find the median first, find where the lower quartile is and then the lowest number in the group thats in betweeen 1 and 6
Go step by step to reduce the radical. 288
Step-by-step explanation:
hope this helps if not well im rlly srry lol
Twins Bruno and Charlie both work at the same restaurant for an hourly rate. Bruno earns minimum wage as a dishwasher, while Charlie earns $2.00 more per hour as a cook. The difference in their wages is becauseTwins Bruno and Charlie both work at the same restaurant for an hourly rate. Bruno earns minimum wage as a dishwasher, while Charlie earns $2.00 more per hour as a cook. The difference in their wages is because
Answer:
The difference in their wages is because the quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.
Step-by-step explanation:
Bruno is a dishwasher
Charlie is a cook
Bruno earnings=$x
Charlie earns $2 more than his twin Bruno
Charlie earnings= $x+2.00
At the same restaurant for an hourly rate
The difference in the wages of Bruno and Charlie is as a result of the productivity of labor
The quantity of output produced by a unit of labor is higher for a cook than a dishwasher and also because Bruno is an unskilled labor while Charlie can be categorised as a semiskilled labor.
Una compañía sabe que si produce "x" unidades mensuales su utilidad "u" se podría calcular con la expresión: u(x)=-0.04x^2+44x-4000 donde "u" se expresa en dólares. Determine la razón del cambio promedio de la utilidad cuando el nivel de producción cambia de 600 a 620 unidades mensuales. Recuerde que la pendiente de la recta secante a la gráfica de la función representa a la razón de cambio promedio.
Answer:
The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
Step-by-step explanation:
The question is:
A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.
Solution:
The expression for the utility is:
[tex]u (x) = - 0.04x ^ {2} + 44x-4000[/tex]
It is provided that the slope of the secant line to the graph of the function represents the average rate of change.
Then the ratio of the average change in profit when the level of production changes is:
[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]
Compute the values of u (x₁) and u (x₂) as follows:
x₁ = 600
[tex]u (x_{1}) = - 0.04x_{1} ^ {2} + 44x_{1}-4000[/tex]
[tex]= - 0.04(600) ^ {2} + 44(600)-4000\\=-14400+26400-4000\\=8000[/tex]
x₂ = 620
[tex]u (x_{2}) = - 0.04x_{2} ^ {2} + 44x_{2}-4000[/tex]
[tex]= - 0.04(620) ^ {2} + 44(620)-4000\\=-15376+27280-4000\\=7904[/tex]
Compute the average rate of change as follows:
[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]
[tex]=\frac{7904-800}{620-600}\\\\=\frac{-96}{20}\\\\=-\frac{24}{5}\\\\=-24:5[/tex]
Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
What is the probability that Annie rolls a sum of 6 and José rolls doubles?
Answer:
5/216
Step-by-step explanation:
There are 5 possibilities that Annie will roll a 6 out of 36 possible outcomes and there 6 possible outcomes of Jose rolling doubles out of 36 if you multiply these possibilities 5/36 x 6/36 you get 5/216. Sorry if wrong that's what I put for my test.
Represent the expression
(4 x 1,000) + (3 x 100) + (6 x
1/100) + (7x1000)
as a decimal number.
Answer:
The answer is 11 300.06
[tex](4 \times 1000) + (3 \times 100) + (6 \times \frac{1}{100}) + (7 \times 1000) [/tex]
[tex] = 4000 + 300 + \frac{6}{100} + 7000[/tex]
[tex] = 11 \: 300 + 0.06[/tex]
[tex] = 11 \: 300.06[/tex]
I promise I will mark the brainiest
Answer:
[tex]\frac{9}{a - b}[/tex].
Step-by-step explanation:
a^2 - b^2 = 9
(a + b)(a - b) = 9
a + b = [tex]\frac{9}{a - b}[/tex].
ab = 3
a = 3/b
3/b + b = [tex]\frac{9}{\frac{3}{b} -b}[/tex]
3 + b^2 = [tex]\frac{9b}{\frac{3}{b}-\frac{b^2}{b} }[/tex]
3 + b^2 = [tex]\frac{9b}{\frac{3-b^2}{b} }[/tex]
3 + b^2 = [tex]9b * \frac{b}{-b^2 + 3}[/tex]
3 + b^2 = [tex]\frac{9b^2}{-b^2 + 3}[/tex]
(b^2 + 3)(-b^2 + 3) = 9b^2
-b^4 + 9 = 9b^2
b^4 + 9b^2 - 9 = 0
Let's say that b^2 = x
x^2 + 9x - 9 = 0
Hope this [somewhat] helps!
Answer:
Step-by-step explanation:
a²-b²=9
ab=3 then a=3/b
a²-b²=9
(a+b)(a-b)=9 ( the values has to b (3*3) or (9*1)
but since ab=3. so the value has to be (3*3)
(a+b)(a-b)=9
3*3=9
a+b=3
ab=3
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Choose True Or False for each statement
Answer:rut
Step-by-step explanation:
find the slope y=2x+5
Answer:
slope is 2
Step-by-step explanation:
the equation of linear is y=mx+b, where m is the slope
therefore, m=2 which means the slope is 2
Answer:the slope is 2
Step-by-step explanation:
the equation y=mx+b represents m as the slope.
Completing the square........... (+25 points+!) Someone please help:)
Answer:
D)
[tex]5 \times {10}^{ - 12} [/tex]
Step-by-step explanation:
velocity(v) = distance/time
but distance =
[tex]3 \times {10}^{ - 4} [/tex]
and velocity =
[tex]6 \times {10}^{7} [/tex]
[tex]6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} [/tex]
[tex]time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } [/tex]
[tex]time = 5 \times {10}^{ - 12} [/tex]
which expression is equivalent to 2(5)^4
Answer:
l0^4
2 (2)^4
I'm sorry if my answer is not helping
Help me to solve this problem ASAP please, also {} is incorrect.
Answer:
8/9
Step-by-step explanation:
2/3 + 1 / ( 2 2/5) - 1/x = 1/3 - 1 / ( 2 2/3)
Changing to improper fractions
2 2/5 = ((5*2+2) / 5 = 12/5
2 2/3 = ( 3*2+2) /3 = 8/3
2/3 + 1 / ( 12/5) - 1/x = 1/3 - 1 / ( 8/3)
1 over and improper fraction flips the improper fraction 1 / ( a/b) = b/a
2/3 + 5/12 - 1/x = 1/3 -3/8
Subtract 2/3 from each side
5/12 -1/x = 1/3 -2/3 -3/8
5/12 -1/x = -1/3 -3/8
Subtract 5/12 from each side
-1/x = -1/3 -3/8-5/12
Multiply each side by 24 to get rid of the fractions
-24/x = -24/3 -3*24/8 -5*24/12
-24/x = -8 -9 -10
-24/x = -27
Multiply each side by x
-24 = -27x
Divide by -27
-24/-27 =x
8/9 =x
Please answer this question now
Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.
This means HG and HG are perpendicular and we have a right angle.
We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.
All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:
[tex]180-90-43[/tex]
[tex]=47[/tex]
The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!
Answer:
<G = 47 degrees
Step-by-step explanation:
For this problem, we need to understand two things. This tangent on the circle, with a line drawn to the center, forms a right angle at H. Additionally, the sum of the angles of a triangle is 180. Now with these two things, let's solve.
<G = 180 - (43 + 90)
<G = 180 - 133
<G = 47 degrees
Hope this helps.
Cheers.
PLEASE help me with this!!
Answer:
Option D
Step-by-step explanation:
H(x) = 3^(2x)
G(x) = reflecting H(x) across the y-axis and shifting 2 units down
=>G(x) = 3^(-2x) - 2
3^(2x) and 3^(-2x) - 2 are valid with all values of x.
=> There is no change in the domain of H(x) and G(x), in which all values of x satisfy H(x) and G(x).
3^(-2x) > 0
=> G(x) = 3^(-2x) - 2 > -2
=> Range of G(x) is from -2 to inifinity
Answer:
D.
Step-by-step explanation:
Well lets graph it first,
Look at the image below↓
So the red line is the new line which has been reflected and shifted down 2.
Meaning the domain turns into positive numbers but still remains infinite.
And the range changes
So we can cross out A and B.
Before the range was lower than 1 and now its (-2,∞)
Thus,
answer choice D is correct.
Hope this helps :)
How many minutes are in 324 hours?
Answer: 19440 minutes
Step-by-step explanation:
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: There are 19440 minutes in 324 hours.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:
324 x 60 = 19440.
Need help, there are also two more questions to answer after those but I couldn’t put them in the picture, they are semicircle and radius. Thanks
Answer:
arc KL=minor arc
arc LJK=major arc
Step-by-step explanation:
so minor arc is a arc which is larger than a semicircle .
a major arc is a circle having measure less than radians.
What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]
We have
[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]
[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]
[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]
So
[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]
is equivalent to
[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]
which reduces to
[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]
What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the y-axis between quadrants 3 and 4. –90° and 630° –45° and 630° –90° and 225° –45° and 225°
Answer:
–90° and 630°
Step-by-step explanation:
The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...
-90° and 630°
_____
Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a negative 90° angle.
Answer:
–90° and 630°
Step-by-step explanation:
The answer above is correct.
Please answer the question correct only if you know the answer
Use the law of cosines to solve for side g.
g^2 = e^2 + f^2 - 2*e*f*cos(G)
g^2 = 10^2 + 8^2 - 2*10*8*cos(57)
g^2 = 76.85775 ... make sure your calc is in degree mode
g = sqrt(76.85775)
g = 8.766855
g = 8.8
In a school, the ratio of students of class 9 to that of class 10 is 3:2. 30% of the students of class 9 and 10%of the students of class 10 were elected to the school student committee. What fraction of the total number of students of the two classes was selected to the school student committee?
Answer:
22% of the two classes were elected to the student committee
Step-by-step explanation:
Given
class 9 : class 10 = 3:2 = 60% : 40%
Total fraction = 60% * 30% + 40% * 10% = 18% + 4% = 22%
Which of the following is a rational number?
Answer:
The answer is B
Answer: B
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
All you need to do is find which of following is a whole number or integer.
The table below shows some inputs and outputs of the invertible function f ff with domain all real numbers.
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
f^-1(1)+f(−14): ?
f^-1(−2): ?
PLEASE HELP!
Answer: [tex]f^{-1}(1)+f(-14)=20[/tex]
[tex]f^{-1}(-2)=10[/tex]
Step-by-step explanation:
The given table :
x: -14,-7,-12,9,10,-2
f(x):11,-12,5,1,-2,13
Since f is invertible ( given) , then [tex]f^{-1}(x)[/tex] exists.
Now , from table [tex]f^{-1}(1)=9[/tex] [ x= 9 corresponding to f(x) =1]
[tex]f(-14)=11[/tex] [ f(x) = 11 corresponding to x=-14]
then, [tex]f^{-1}(1)+f(-14)=9+11=20[/tex]
So, [tex]f^{-1}(1)+f(-14)=20[/tex]
Also, x= 10 corresponding to f(x) =-2, then
[tex]f^{-1}(-2)=10[/tex]
U
Which statements are true about x? Select three
options
B
XEBUC
Oxenc
OXEAUC
Oxeanc
ΕχεΑ
с
Answer:
A, B, C
Step-by-step explanation:
x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C
Answer: A, B, C
Answer:
[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]
[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]
Step-by-step explanation:
Look at the picture
Write the rule for this sequence '32,16,8,4'
Step-by-step explanation:
This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1
plzzz help me!! (question is attached)
Answer:
A, B, D, and E
Step-by-step explanation:
recall that the inverse functions verify the identity rule that one function applied on the other will render the identity "x". It is like launching a function from a value x, and then taking the trip back to the value that originated it.
Such also implies that the domain where you started becomes the Range of the function that makes the trip back. And of course, its reciprocal: The Range of the starting function becomes the Domain of the function that gets back.
Therefore, andswers A, B, D and E are correct answers