Answer:
$1.08
Step-by-step explanation:
Use a system of equations. Let x represent eric's money and y represent erica's money.
x+y=5.40
2x=1/2y
Let's solve for y in the second equation and substitute it into the first.
Double both sides.
4x=y
Substitute
x+4x=5.40
5x=5.40
Divide by 5
x=$1.08
So eric has $1.08
the perimeter of a regular triangle is 81cm. what is the length of one side
Answer:
27 cm.
Step-by-step explanation:
As there are 3 sides in a triangle and this is regular , the length of one side
= 81/3
= 27 cm
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
X Y
5 -5
6 -6
7 -7
8 -8
Y=___x + ___
Answer:
y = -x +0
Step-by-step explanation:
y = mx + b
y= slope * x + y-intercept
To find slope, use any x and y pair from the table, for example (x= 5, y= -5)
slope = y/x = -5/5 = -1
y= -x + b
To find b the y-intercept, substitute any x and y pair from the table, for example (x= 5, y= -5)
-5 = -5 +b
b = 0
The linear equation that gives the rule for this table is
y = -x + 0 or just y = -x
Which equation represents a line with a slope of -4
Answer:
y= -4x
Step-by-step explanation:
it will be more helpful to answer this question if the equations were provided.
Help pleaseeee
Which combination of three-dimensional shapes could be used to best model the table shown below?
A. 6 rectangular prisms and 1 cube
B. 4 right triangular prisms and 1 cube
C. 2 rectangular prisms and 2 right triangular prisms
D. 3 right triangular prisms and 2 rectangular prisms
Answer:
There are two rectangular prisms and two right triangular prisms
Step-by-step explanation:
The two right-angle triangular prisms can be found on the right and left. One rectangular prism can be found in the middle between those two triangular prims, and the other can be found at the top. Voila.
True or false -if the measure of an acute angle is x then its completely angle is (90 - x)
Answer:
False
Step-by-step explanation:
The measure of an acute angle is less than 90°
What type of sequence is shown: 120, 12, 1.2, 0.12
Answer: divide by 10
Step-by-step explanation: you divide the previous number by 10 to get the next number
Find constants a and b such that = (axy + z3) i + (3x2 – z)j+-y)k is irrotational. Also find a scalar function Φ such that = Φ.
Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.
[tex]\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k[/tex]
[tex]\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k[/tex]
[tex]\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]
At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.
As I mentioned in comments, if the i-component had instead been [tex]axy+bz^3[/tex], we would have ended up with
[tex]\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k[/tex]
in which case we would have b = 0.
I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,
[tex]\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy[/tex]
[tex]\dfrac{\partial\Phi}{\partial y} = 3x^2 - z[/tex]
[tex]\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y[/tex]
Let's start with the last equation. Integrating both sides with respect to z yields
[tex]\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)[/tex]
Now differentiate both sides with respect to y :
[tex]\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2[/tex]
Integrate both sides of the latter PDE with respect to y to solve for g :
[tex]g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)[/tex]
Now we differentiate Φ with respect to x :
[tex]\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0[/tex]
Integrate to solve for h :
[tex]h(x) = \displaystyle \int 0 \, dx = C[/tex]
where C is an arbitrary constant.
So the scalar function whose gradient is our "fixed" field f is
[tex]\Phi(x,y,z) = -yz + 3x^2y + C[/tex]
Plot the vertices (-2, -8), (-2, 2), and (8,2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units
Check the picture below.
Work out the sheet here
164
to find:the unknown angle x.
solution:angle at a point= 360°
x= 360 - ( 164 + 90) (because that's a right angle)
x= 360 - 254
x= 106°
please answer this i need help :p
The school is planning to add a vegetable garden. The length of the garden is 13 feet. The width of garden is 9 feet. What is the perimeter of the garden?
I NEED THIS NOW
Answer:
44
Step-by-step explanation:
double both 13 and 9 then add the awnser together to get 44
2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices
A compound interest formula is a type of exponential equation. That is option C
What are exponential equations?Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.
The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.
Therefore, a compound interest formula is a type of exponential equation.
Learn more about exponential equations here:
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TIMED PLEASE HELP!
Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2
Answer:
"Answer: A. m=2;y-int=(0,4);y=2x+4
Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear"
Step-by-step explanation:
Found this on Brainly, hope it helps? :)
The sum of three consecutive number is forty two what are the numbers
Answer:
Thus, 12+14+16=42.
Step-by-step explanation:
Hope this helps.
Here is the question
The value that would be obtained using the 5 midpoint rectangles of equal width to estimate the given Integral is; 33/100
How to partition integral?First of all, let us partition the interval [0, 1] as;
[0, 1/5] ∪ [1/5, 2/5] ∪ [2/5, 3/5] ∪ [3/5, 4/5] ∪ [4/5, 5]
Thus, the midpoints of the intervals which are the sample points are, respectively;
1/10, 3/10, 1/2, 7/10, 9/10
The integral is approximated by;
(0,1)∫x² dx = (5, n=1)Σf(x_n) Δx
where Δx is the difference between the partition endpoints, i.e.
Δx = (1 - 0)/5 = 1/5
and x_n is the midpoint of the nth partition.
Thus, we have;
(5, n=1)Σf(x_n) Δx = (1/5)[(1/10)² + (3/10)² + (1/2)² + (7/10)² + (9/10)²] = 33/100
Read more about integral partition at; https://brainly.com/question/9043837
explain pls
...................................
Answer:
C. 9
Step-by-step explanation:
This is the answer because of how the math works...Its really hard to explain how it works.
write A number in each box that would create an equation that has an infinite number of solutions
4(3x+6)-x=_____x+_____
[tex]\huge\text{Hey there!}[/tex]
[tex]\\\large\text{ORIGINAL EQUATION: }\\\mathsf{4(3x + 6) - x}\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\mathsf{\rightarrow 4(3x) + 4(6) - x}\\\mathsf{\rightarrow 12x + 24 - x}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow 12x + 24 - 1x}\\\mathsf{\rightarrow 11x + 24}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{11\bold{x} + 24}}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Two of the biggest disadvantages of the corporate form of business are government regulation and corporate
One of the biggest downsides for businesses (besides government regulation) is taxes.
What are taxes?The tax is a term to refer to a tribute that must be paid by an individual or group of people associated with a state without direct consideration.
How do taxes affect businesses?Taxes affect companies because the state establishes some special taxes for companies to export or import their products. In some cases, they are also assigned a tax for receiving large amounts of money as profit for their services.
Learn more about taxes in: https://brainly.com/question/1362871
Answer:taxes
Step-by-step explanation:
t will be awarded for all answers
1.) A catering service is making up trays of hors d'oeuvres. The hors d'oeuvres are categorized as inexpensive, average, and expensive. If the client must select 2 of the 6 inexpensive, 5 of the 7 average, and 3 of the 5 expensive hors d'oeuvres, how many different choices are possible?
2.)A food company is testing 5 chocolate chip cookies, 4 crackers, and 7 reduced-fat cookies. If it plans to market 1 of the chocolate chip cookies, 1 of the crackers, and 4 of the reduced-fat cookies, how many different combinations are possible?
from the 8 male and 8 female sales representatives for an insurance company, a team of 3 men and 4 women will be selected to attend a national conference on insurance fraud.
In how many ways can the team of 7 be selected?
Using the combination formula, it is found that the number of possible outcomes are given by:
1. 3150
2. 700.
3. 3920.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Item 1:
We have combinations of 2 from 6, 5 from 7 and 3 from 5, all independent, hence we multiply them:
[tex]T = C_{6,2}C_{7,5}C_{5,3} = 15 \times 21 \times 10 = 3150[/tex]
3150 different choices are possible.
Item 2:
1 from 5, 1 from 4 and 4 from 7, hence:
[tex]T = C_{5,1}C_{4,1}C_{7,4} = 5 \times 4 \times 35 = 700[/tex]
700 different combinations are possible.
Item 3:
3 men from a set of 8, 4 women from a set of 8, hence:
[tex]T = C_{8,3}C_{8,4} = 56 \times 70 = 3920[/tex]
3920 ways to select the team of 7.
More can be learned about the combination formula at https://brainly.com/question/25821700
What is 5/21 expressed as a decimal?
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095
Robert wants to make a small batch of japchae. He needs
4 1/6 oz of noodles. His scale shows he has 4.18 oz of noodles. Does Robert have enough noodles? How do you know?
Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.
What are fractions and decimals?A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.
Does Robert have enough noodles?In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.
4 1/6 = 4. 17
To learn more about fractions, please check: brainly.com/question/1114498
what is 2 +2 { 25 points }
1. 22
2. 4
Answer:
4
Step-by-step explanation:
if you have 2 apples and you get 2 more apples how many do you have.
Matthew is at the beach with is family, Housing a rectangular prism shaped container to mold sand for his sandcastle. The container has the following dimensions. 12 in. by in. by in.
a)Matthew noticed that the container was one fourth full of sand. How many more cubic inches of sand would be required to fill the container ? Show your work.
b) Matthew's father has a container that has dimensions that are each double the dimensions of Mathew's container.Matthew thought that the volume would be also double. Is Matthews correct? How many times greater is the volume of the larger container the the volume of the smaller one? Show your work and explain the reasoning. Can someone help ? thanks
When Matthew noticed that the container was one fourth full of sand, the remaining volume quantity needed is 432 inches³.
How to calculate the volume?The container has the following dimensions. 12 in. by 8in. by 6in. Therefore, the volume will be:
= 12 × 8 × 6
= 576 inches.
Since Matthew noticed that the container was one fourth full of sand, the remaining quantity needed will be:
= 576 - (1/4 × 576)
= 576 - 144
= 432 inches³.
Learn more about volume on:
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my sis needs help asap
Answer:
B. 7
Step-by-step explanation:
7 × n = 42 + 7
7n = 49
n = 49/7
n = 7
______
Hope it helps ⚜
[tex]7 \times n = 42 + 7[/tex]
to find:what the "n" represents
solution:[tex]7 \times n = 42 + 7[/tex]
[tex]7 \times n = 49[/tex]
[tex]n = \frac{49}{7} [/tex]
[tex]n = 7[/tex]
therefore, "n" represents 7.
answer= option B
Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y
= 9? Explain your answer.
Answer:
Perpendicular
Step-by-step explanation:
Simplify 3x+9y=9 to 9y=-3x+9 and then to y=-1/3x+1
y=3x-7
and
y=-1/3x+1, 3 and -1/3 are negative reciprocals which makes these equations perpendicular.
WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP
Answer:
b
Step-by-step explanation:
This a very difficult question but im pretty sure its b
Write an expression which can
be used to describe the area in
square units of a rectangle that
has a length of 5x3y5z2 units
and a width of 3x2yz4 units.
Answer:
15x^2 6y^2 5z^6
Step-by-step explanation:
area = length x width
area = 5x3y5z^2 * 3x2yz^4
i dont get this please help
Step-by-step explanation:
the side lengths of the base (the ground triangle) are equal. that means every ground side length is 8 in.
and that also makes the 3 triangles of the side areas of the pyramid equal.
so, for the surface area of the pyramid we need to calculate the area of one side area triangle, multiply it by 3 (as we have 3 side areas) and add the area of the ground triangle.
the area of a triangle is
baseline × height / 2
so, for a side area triangle we get
8 × 14 / 2 = 8×7 = 56 in²
all 3 side areas together are then
3×56 = 168 in²
the ground area triangle is then
8 × 6.9 / 2 = 4 × 6.9 = 27.6 in²
so, the total surface area of the pyramid is
168 + 27.6 = 195.6 in²
write a linear equation in slope-intercept form. m=-3 and contains (0,2)
y=-3x-2
Solution:We have a point that the line passes through and its slope.Since the point has an x-coordinate of 0, this point is the line's y-intercept (2)Slope-intercept form: y=mx+bm -> slopeb -> y-interceptPlug in the values:y=-3x-2Hope it helps.
Do comment if you have any query.
Answer:
[tex]\Longrightarrow: \boxed{\sf{y=-3x+2}}[/tex]
Step-by-step explanation:
The slope-intercept form is used to write linear equations.
Slope-intercept form:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
The slope is -3.
The y-intercept is 2.
(0,2)x1=0y1=2y=-3x+2
Therefore, the slope-intercept form is y=-3x+2, which is our answer.I hope this helps! Let me know if you have any questions.
An opaque bag contains three red, two blue, and four green
marbles. What is the probability of randomly pulling out a red
marble, replacing it, then randomly drawing another red
marble?
Answer:
1/9Step-by-step explanation:
Probability of drawing 1st red marble
No. (red) / No. (total)3 / (3 + 2 + 4)3/91/3 - P(1)Probability of drawing 2nd red marble
It states it is replacedNumber of red is same as the beginning and total number is sameP(2) = P(1)1/3 - P(2)Probability
P(1) x P(2)1/3 x 1/3P = 1/9