[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation \#1.}[/tex]
[tex]\mathsf{|-8| + 9 = }[/tex]
[tex]\huge\textbf{Random note:}[/tex]
[tex]\textsf{The additive inverse of }\mathsf{|-8|}\textsf{ is positive 8.}[/tex]
[tex]\huge\textbf{Solving for the equation:}[/tex]
[tex]\mathsf{|-8| + 9}[/tex]
[tex]\mathsf{= \bold 8 + 9}[/tex]
[tex]\mathsf{= 17}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{17}}\huge\checkmark[/tex]
[tex]\huge\textbf{Equation \#2.}[/tex]
[tex]\mathsf{|-8 + 9| =}[/tex]
[tex]\huge\textbf{Random note:}[/tex]
[tex]\textsf{We will convert your equation to }\mathsf{-8 + 9}\textsf{ because it can make the equation}\\\textsf{a lot easier to solve.}[/tex]
[tex]\huge\textbf{Solving for the equation:}[/tex]
[tex]\mathsf{|-8 + 9|}[/tex]
[tex]\mathsf{= -8 + 9}[/tex]
[tex]\text{Start at }\rm{-8}\text{ and go \boxed{up} 9 spaces to the right and you have your answer.}[/tex]
[tex]\mathsf{= 1}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{1}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if he has a mix of dimes and quarters, how many of the coins are dimes?
If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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Which equation can be used to solve for xxx in the following diagram?
Answer: A. 2x + 30 = 90
Step-by-step explanation:
You want to choose answer A because you know that together the section of 2x and the section of 30 equal 90 degrees (we know this because the other side shows the right angle which equals 90 degrees).
The equation 2x + 30 = 90 will be used to determine x so option (A) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given an angle with two participants, one is 2x and another one is 30°.
Now if we look right-hand side angle it is a right-angle i.e. 90°.
Since the complete angle above a straight line is 180°
So,
2x + 30 + 90° = 180°
2x + 30 = 90
Hence "The equation 2x + 30 = 90 will be used to determine x".
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What equation is parallel to 3y = 6x-10 and passes through A(4,5)?
Answer:
57?
Step-by-step explanation:
Which formula gives the zeros of y = sin(x)? k pi for any positive integer k k pi for any integer k StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for any integer k
Answer:
y =sin(x)
Step-by-step explanation:
small brain
Answer:
B: k pi for any integer k
Step-by-step explanation:
I took the test
(5x²+36x+40)/(x+6)
Your answer should give the quotient and the remainder.
The quotient of the polynomial exists 5x+6 + (4 / x+6).
What is meant by quotient and remainder?The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).
Given: (5x²+36x+40)/(x+6)
(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)
Dividing the above equation
(6x+40) / (x+6) = 6+(4 / x+6)
Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)
The quotient of the polynomial exists 5x+6 + (4 / x+6).
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Michael collects 45 trays of eggs every week . how many trays does he collect in two months?
Can anyone help please?
Answer:
A'(-3, 12)B'(9, 6)C'(-6, -6)Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
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Use properties to rewrite the given equation. Which equations have the same solution as the equation
x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x
The equation computed shows that the correct options are A, B, and D.
How to illustrate the information?1) The equation we want to rewrite is;
³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x
(³/₅ + 1)x + ²/₃ = ¹/₂ – ¹/₅x
⁸/₅x + ²/₃ = ¹/₂ – ¹/₅x
This corresponds with the solution in Option A
2) ³/₅x + ²/₃ + x = ¹/₂ – ¹/₅x
Let us use multiplication property of equality which states that if we multiply both sides of an equation by the same quantity, then both sides remain equal.
Let's get rid of the denominators by multiplying each term by the LCM of the denominators. LCM of 2,3,5 is 30. Thus;
30(³/₅x) + 30(²/₃) + 30x = 30(¹/₂) - 30(¹/₅x)
Simplifying gives;
18x + 20 + 30x = 15 - 6x
This solution corresponds with that in option B
3) We will make use of additive property of equality which states that when we add the same number to both sides of an equation, then both sides remain equal.
Let's add 6x to both sides of 18x + 20 + 30x = 15 - 6x;
18x + 20 + 30x + 6x = 15 - 6x + 6x
⇒ 24x + 30 + 20 = 15
Using subtractive property of equality, let us subtract 20 from both sides to get;
24x + 30 + 20 - 20 = 15 - 20
This corresponds with the solution in Option D.
Complete question:
Use properties to rewrite the given equation. Which equations have the same solution as 3/5x +2/3 + x = 1/2– 1/5x? Check all that apply.
a. 8/5x+2/3=1/2-1/5x
b. 18x + 20 + 30x = 15 – 6x
c. 18x + 20 + x = 15 – 6x
d. 24x + 30x = –5
e. 12x + 30x = –5
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Please help!!! due today. Find the surface area of the triangular prism.
The surface area of the shape is 168 square cm
Surface area of triangular prismThe surface area of a figure is the area of the faces of the given figure.
For the given figure, the area will be the sum of area of 2 triangles and 3 rectangles.
Area = (6*3) +(10*6)+(6+10) +(10*3)
Surface area = 18 + 120 + 30
Surface area = 168 square cm
Hence the surface area of the shape is 168 square cm
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Mr. smith leaves 3 hours before mrs smith. if he averages 55mph and she 65mph how many hours will it take mrs smith to catch up
It will take 16hr 30min for Mrs. Smith to catch up.
To find how many hours will it take Mrs smith to catch up:Let,
t + 3 = Time of Mr. Smith
t = Time of Mrs. Smith
v1 = 55 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Formula: Distance = speed × time
v1 ( t + 3) = v2t
55 ( t + 3 ) = 65t
65t = 55t + 165
65t - 55t = 165
10t = 165
t = 16.5 hr
t = 16 hr 0.5 × 60 min
t = 16 hr 30 min
Therefore, it will take 16hr 30min for Mrs. Smith to catch up.
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Which bag has more fruit? Use the ratios to justify your answer.
The bag that has more fruits is the second bag, because the ratio is greater.
Which bag has more fruits?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Number of fruits in the first bag : (3/8) x 60 = 22.50
Number of fruits in the second bag :(7/17) x 60 = 24.71
Here is the complete question:
Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag:3 5 Ratio of fruit to nuts in the second bag:7 10 Which bag has more fruit? Use the ratios to justify your answer. The first bag, because the ratio is greater. The first bag, because the ratio is smaller. The second bag, because the ratio is greater. The second bag, because the ratio is smaller.
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Determine the measure of
Answer:
M: 74.579° = 74°34'43" = 1.30164
O: 49.421° = 49°25'17" = 0.86256 rad
Which statement is true about the given function?
f(x) >0 over the interval (-3).
f(x) >0 over the interval (-∞∞).
f(x) <0 over the interval (-3).
Of(x) <0 over the interval (-x).
Intro
20
10
-10
-20
Done. I need an answer ASAP
Answer: Choice C
Reason:
The curve is below the x axis on the interval [tex]-\infty < \text{x} < 3[/tex] which shortens down to the interval notation [tex](-\infty, 3)[/tex], so this is when f(x) < 0.
A method of sampling that enables researchers to specify for each case in the population the probability of its inclusion in the sample is referred to as ______ sampling.
Simple Random sampling
Meaning:
Simple random sampling is a type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected.
For example, if you randomly select 1000 people from a town with a population of 100,000 residents, each person has a 1000/100000 = 0.01 probability. That's a simple calculation requiring no additional knowledge about the population's composition. Hence, simple random sampling.
Advantage:
Simple random sample advantages include ease of use and accuracy of representation. No easier method exists to extract a research sample from a larger population than simple random sampling.
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(1 out of 5 parts) please help >3
Answer:
option D
Step-by-step explanation:
Convert the mixed fraction to improper fraction.As denominators are different, find the LCM of denominators.Find equivalent fractions using the LCMNow subtract and then convert improper fraction to mixed fraction.[tex]\sf 5\dfrac{3}{6}=\dfrac{33}{6}\\\\2\dfrac{1}{3}=\dfrac{7}{3}[/tex]
LCM of 6 , 3 = 6
[tex]\sf \dfrac{33}{6}-\dfrac{7}{3}=\dfrac{33}{6}-\dfrac{7*2}{3*2}\\[/tex]
[tex]\sf =\dfrac{33}{6}-\dfrac{14}{6}\\\\=\dfrac{33-14}{6}\\\\= \dfrac{19*3}{6*3=\dfrac{57}{18}}\\\\=3\dfrac{3}{18}[/tex]
40 points+Brainliest
Can someone please help me asap?? I really appreaciate it. I have to select more than one
Answer:
Your correct
Step-by-step explanation:
x = 36
x/3 = 12
x = 12(3)
x = 36
What are the new coordinates? Marking brainliest whoever gets it!
Answer:
a = (9,8)
b=(10,6)
c=(4,3)
Step-by-step explanation:
basically, you just take the original coordinates and add the translation to it.
so a was -1,6 so just at 10 to -1 as they are x coordinates nad add 2 to 6 because they are Y coordinates and you just do it for all of the points.
Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate plane.
The equation of parabola becomes y = -2/25(x-3)^2 + 4.
According to the statement
we have given a graph and from this graph we have to find the equation of parabola in the general form.
So,
we know that the equation of parabola in general form is
y = a(x-h)^2 +k - (1)
From the graph we have:
a point on the graph is (x,y) = (-2,2)
the vertex of the graph is (h,k) = (3,4)
Now, substitute these values in the equation number (1)
Then
y = a(x-h)^2 +k
2 = a(-2-3)^2 +4
2 = a(-5)^2 +4
2 = a(25) +4
25a = -2
a = -2/25.
Now put a = -2/25 and (h,k) = (3,4) in the equation(1).
Then
the equation of parabola becomes y = -2/25(x-3)^2 + 4
So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.
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how do I find x on the attached right triangle
?
The value of x from the given triangle is 32√3/3
SOH CAH TOA identityIn order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
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Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:
position
open side up closed side up landing on side
1
5
44
number of times landed in position
based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). show your work
2
xd
c
e!
23
3
12 source vc
bius x, xi :-
29
ee
styles
normal
. ?
The experimental probability of each event is as follows:
Landing open side up = 1/50 = 0.02 = 2%.Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.Landing on its side = 44/50 = 0.88 = 88%.The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.
In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:
Open-sided up: 1
Closed side up 5
On the side: 44.
We are asked to determine the experimental probability of each outcome.
The number of outcomes, when the landing is open-sided up is 1.
The number of outcomes, when the landing is closed-sided up is 5.
The number of outcomes, when the landing is on the side up is 44.
The total number of times the experiment took place is 50.
Thus, the experimental probability of each event is as follows:
Landing open side up = 1/50 = 0.02 = 2%.Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.Landing on its side = 44/50 = 0.88 = 88%.Learn more about the experimental probability at
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A and B are independent events. P(S) = 0.40 and P(B) = 0.30. What is P(A and B)
The value of the probability P(A and B) is 0.12
How to determine the probability?The given parameters are
P(A) = 0.40
P(B) = 0.30
Given that the events are independent events;, we have:
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.40 * 0.30
Evaluate
P(A and B) = 0.12
Hence, the value of the probability P(A and B) is 0.12
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MATH HELP!!! 100PTS!!!
Write the parametric equations
x=5sinθ,y=3cosθ,0≤θ≤π
in the given Cartesian form.
(y^2)/9=
with x≥0.
Answer:
[tex]\dfrac{y^2}{9}=1-\dfrac{x^2}{25}[/tex]
Step-by-step explanation:
When converting parametric equations that involve trig functions to Cartesian equations, use trig identities to eliminate the parameter.
Given parametric equations:
[tex]x=5 \sin \theta, \quad y=3 \cos \theta, \quad 0\leq \theta\leq \pi[/tex]
Square the equation for x:
[tex]\implies x^2=(5 \sin \theta)^2=25 \sin^2 \theta[/tex]
Use the identity [tex]\sin^2 x+\cos^2x =1[/tex] to write [tex]x^2[/tex] in terms of cos:
[tex]\implies x^2=25(1-\cos^2 \theta)[/tex]
Isolate [tex]\cos^2 \theta[/tex] :
[tex]\implies \dfrac{x^2}{25}=1-\cos^2 \theta[/tex]
[tex]\implies \cos^2 \theta=1- \dfrac{x^2}{25}[/tex]
Square the equation for y:
[tex]\implies y^2=(3 \cos \theta)^2=9 \cos ^2 \theta[/tex]
Replace [tex]\cos^2 \theta[/tex] with the found equation involving [tex]x^2[/tex] :
[tex]\implies y^2=9\left(1-\dfrac{x^2}{25}\right)[/tex]
Divide both sides by 9:
[tex]\implies \dfrac{y^2}{9}=1-\dfrac{x^2}{25}, \quad \textsf{with }x\geq 0[/tex]
Are the ratios 2:1 and 14:6 equivalent?
yes
no
Find the measure for the unknown angle.
Answer:
49°
Step-by-step explanation:
Right angled triangle:
This is a type of triangle with one of the angle as 90°
Sum of angles in a Right angled triangle is 90°
Therefore,
y + 41° = 90°
collecting like terms
y = 90 - 41 = 49°
Therefore,
y = 49°
What ia an equation of the line that is parallel to y=3x-8 and passes through the point (4,-5)?
Answer:
y = 3x - 17
========================
Given liney = 3x - 8Parallel lines have equal slopes, so its equation is in the form of:
y = 3x + bSince it passes through the points (4 , - 5), find the value of the y-intercept b by substituting x- and y- coordinates into this equation:
- 5 = 3*4 + b- 5 = 12 + bb = -5 - 12b = - 17The equation of the parallel line is:
y = 3x - 17If 4x² = 16, then x =
A20
B12
C4
D2
Which are the solutions of x² = 19x + 12
Answer:
[tex]\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}[/tex]
Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.
[tex]x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}[/tex]
LMNP is rotated 90 degrees clockwise about the origin. What are the coordinates of M’?
A. M’ (-4,3)
B. M’ (4,-3)
C. M’ (3,-4)
D. M’ (-3,-4)
The coordinates of M' is M'(-3,-4).
According to the statement
LMNP is rotated 90 degrees clockwise about the origin.
and we have to find the coordinates of M'.
so,
when it is rotated then it take four steps to reach at the end.
So, due to its moving procedure it takes four steps to reach at end.
and due to the four step procedure it's coordinates are changes four time and that's why at the end the coordinates we have to find are become a -3 and -4. So, the coordinate we get are -3 and -4
Due to this procedure the coordinate of m' become M'(-3,-4)
So, The coordinates of M' is M'(-3,-4).
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Answer: B. M'(4, -3) Just took the test
Step-by-step explanation:
A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
If x represents the number of 13 cent stamps and y the 18 cent stamps, which system represents the problem?
The system of equation which represent the scenario is;
x + y = 42
x + y = 420.13x + 0.18y = 6.66
Simultaneous equationlet
number of 13 cent stamps = xnumber of 18 cent stamps = yTotal cost of the stamps = $6.66Total number of stamps = 42x + y = 42
x + y = 420.13x + 0.18y = 6.66
Therefore, the equation which represent the problem is;
x + y = 42
0.13x + 0.18y = 6.66
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