Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.
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can you guys help me pls NO LINKS
pls help I'll give you brainliest
Rick melted a cube and made a cone with it. The amount of melted liquid left after making the cone was 49 cm. . If 6/7 of the melted liquid was used in making the cone, find the side of the initial cube.
pls, quickly no much time is there...
The side of the initial cube is 42 cm.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Rick melted a cube and made a cone with it.
The amount of melted liquid left after making the cone was 49 cm
6/7 of the melted liquid was used in making the cone
We need to find the side of the initial cube.
Cube =a³
Le us the whole liquid be 1.
6/7 of the melted liquid was used in making the cone
1/6/7=7/6 is the left out liquid after making cone.
7/6x=49
x=42 cm
Hence, the side of the initial cube is 42 cm.
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Drag and drop the numbers into the table to complete the table of values for the equation y=4x+9
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
What exactly is circumcenter?the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.
The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.
The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.
The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
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What is the slope of the line through the points (2,5) and (6, 13)?
Answer:
m = 2
Step-by-step explanation:
[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]
Hope this helps.
A bag has 4 green cards, 9 blue cards, 3 purple cards,
and x pink card(s). Each card is a solid color. What is
the probability that a card randomly chosen from the
bag is purple?
answer:
h
Step-by-step explanation:
if there is more blues and green cards than purple there is a lower chance of getting purple
Answer:
[tex]K)~\frac{3}{16+x}[/tex]
Step-by-step explanation:
[tex]green~ cards=4[/tex]
[tex]blue ~cards=9[/tex]
[tex]purple~ cards=3[/tex]
[tex]pink ~cards=x[/tex]
[tex]total:-[/tex] 4×9×3×x
→ [tex]16+x[/tex]
[tex]p(x)=\frac{3}{16+x}[/tex]
[tex]Answer:K[/tex]
[tex]------------[/tex]
hope it helps...
have a great day!!
Find the angle that gives the Sine value of .9848 *
Form the intersection for the following sets.
R = {10, 15, 20)
S = {20, 25)
ROS=
Ol)
(10, 15, 25)
O (20)
(10, 15, 20, 25)
Answer:
[tex]\bold{\boxed{R Intersection S = {20} }}[/tex]
Step-by-step explanation:
The intersection in a sample is the reoccurring numbers that are present.
Let's list the two samples:
R = {10, 15, 20}
S = {20, 25}
The number 20 is present in both samples, so -
R Intersection S = {20} !
Hope it helps! :)
Let C be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle with radius 9, and the y-axis, oriented counterclockwise starting from the origin. Label the edges of the boundary as C1,C2,C3 starting from the bottom edge going counterclockwise. Give each edge a constant speed parametrization with domain 0≤t≤1.
Solution :
Along the edge [tex]$C_1$[/tex]
The parametric equation for [tex]$C_1$[/tex] is given :
[tex]$x_1(t) = 9t , y_2(t) = 0 \ \ for \ \ 0 \leq t \leq 1$[/tex]
Along edge [tex]$C_2$[/tex]
The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain [tex]$0 \leq t \leq 1 $[/tex] is then given by :
[tex]$x_2(t) = 9 \cos \left(\frac{\pi }{2}t\right)$[/tex]
[tex]$y_2(t) = 9 \sin \left(\frac{\pi }{2}t\right)$[/tex]
Along edge [tex]$C_3$[/tex]
The parametric equation for [tex]$C_3$[/tex] is :
[tex]$x_1(t) = 0, \ \ \ y_2(t) = 9t \ \ \ for \ 0 \leq t \leq 1$[/tex]
Now,
x = 9t, ⇒ dx = 9 dt
y = 0, ⇒ dy = 0
[tex]$\int_{C_{1}}y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
And
[tex]$x(t) = 9 \cos \left(\frac{\pi}{2}t\right) \Rightarrow dx = -\frac{7 \pi}{2} \sin \left(\frac{\pi}{2}t\right)$[/tex]
[tex]$y(t) = 9 \sin \left(\frac{\pi}{2}t\right) \Rightarrow dy = -\frac{7 \pi}{2} \cos \left(\frac{\pi}{2}t\right)$[/tex]
Then :
[tex]$\int_{C_1} y^2 x dx + x^2 y dy$[/tex]
[tex]$=\int_0^1 \left[\left( 9 \sin \frac{\pi}{2}t\right)^2\left(9 \cos \frac{\pi}{2}t\right)\left(-\frac{7 \pi}{2} \sin \frac{\pi}{2}t dt\right) + \left( 9 \cos \frac{\pi}{2}t\right)^2\left(9 \sin \frac{\pi}{2}t\right)\left(\frac{7 \pi}{2} \cos \frac{\pi}{2}t dt\right) \right]$[/tex]
[tex]$=\left[-9^4\ \frac{\cos^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} -9^4\ \frac{\sin^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} \right]_0^1$[/tex]
= 0
And
x = 0, ⇒ dx = 0
y = 9 t, ⇒ dy = 9 dt
[tex]$\int_{C_3} y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]
Therefore,
[tex]$ \oint y^2xdx +x^2ydy = \int_{C_1} y^2 x dx + x^2 x dx+ \int_{C_2} y^2 x dx + x^2 x dx+ \int_{C_3} y^2 x dx + x^2 x dx $[/tex]
= 0 + 0 + 0
Applying the Green's theorem
[tex]$x^2 +y^2 = 81 \Rightarrow x \pm \sqrt{81-y^2}$[/tex]
[tex]$\int_C P dx + Q dy = \int \int_R\left(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\right) dx dy $[/tex]
Here,
[tex]$P(x,y) = y^2x \Rightarrow \frac{\partial P}{\partial y} = 2xy$[/tex]
[tex]$Q(x,y) = x^2y \Rightarrow \frac{\partial Q}{\partial x} = 2xy$[/tex]
[tex]$\left(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right) = 2xy - 2xy = 0$[/tex]
Therefore,
[tex]$\oint_Cy^2xdx+x^2ydy = \int_0^9 \int_0^{\sqrt{81-y^2}}0 \ dx dy$[/tex]
[tex]$= \int_0^9 0\ dy = 0$[/tex]
The vector field F is = [tex]$y^2 x \hat i+x^2 y \hat j$[/tex] is conservative.
How many solutions does x^2=9 have
Answer:
Your answer is 1
Step-by-step explanation:
3² = 9 is the only possible solution.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x^2=9}[/tex]
[tex]\large\text{TAKE the SQUARE ROOT}[/tex]
[tex]\mathsf{x =\pm \sqrt{9}}[/tex]
[tex]\large\text{REMEMBER this symbol }\mathsf{\pm}\large\text{ means plus or minus}[/tex]
[tex]\mathsf{ - \sqrt{9} = \boxed{\bf -3}}[/tex]
[tex]\mathsf{\sqrt{9}=\boxed{\bf 3}}[/tex]
[tex]\large\text{OR YOU COULD SAY THIS TO MAKE THIS SIMPLER TO}\\\large\text{SOLVE}\downarrow[/tex]
[tex]\large\text{-3}\mathsf{^2= \boxed{\bf -9}}[/tex]
[tex]\large\text{3}\mathsf{^2}\large\text{= \boxed{\bf 9}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf x = -3 or x = 3 }}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the two way table below to answer the question given.
Favor Do not favor No opinion
Male 20 15 17
Female 18 12 7
Are the events 'male' and 'favor independent?
Answer:
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are independent if:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
In this question:
Event A: Male
Event B: Independent
Probability of male:
20 + 15 + 17 = 52 out of (20 + 15 + 17 + 18 + 12 + 7) = 89.
So
[tex]P(A) = \frac{52}{89}[/tex]
Probability of favoring independent:
20 + 18 = 38 out of 89. So
[tex]P(B) = \frac{38}{89}[/tex]
Probability of male and favoring independent:
20 out of 89. So
[tex]P(A \cap B) = \frac{20}{89}[/tex]
Test if they are independent:
[tex]P(A)P(B) = \frac{52}{89}*\frac{38}{89} = \frac{52*38}{89*89} = 0.24946[/tex]
[tex]P(A \cap B) = \frac{20}{89} = 0.22472[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.
find the product. Simplify
t(3t^2-2t)
Answer:
3t^3-2t^2
Step-by-step explanation:
Multiply the terms inside the parenthesis by the term outside.
In this case its t.
In a recent year, 22.2% of all registered doctors were female. If there were 47,200 female registered doctors that year, what was the total number of registered doctors?
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Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
"Female doctors make up 22.2% of all registered doctors," the inquiry states.
Consider the entire number of doctors who are registered as x; 22.2% of those doctors are women.
and 47,200 divided by 22.2% of x
=>22.2/100 * x = 47,200
in math
264414 doctors were registered that year, or
x = 58700* 100/22.2 x.
Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
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Can y’all help me on question 7?!
Answer:
A
Step-by-step explanation:
its just a definition
Answer:
A
Step-by-step explanation:
The x and y coordinates are both positive. The clue of how to solve this is just to look at the x and y axis.
If x>0 (x is positive) then you are going right from (0,0).
If y >0 (y is positive) then you are going up.
Which quadrant does that?
Use an example
(4,2)
What quadrant are you in? If you said 1, you are correct. So the answer is A.
$640 , 3% , 2 years Find the simple interest earned to the nearest cent for each principal , interest rate , and time
The simple interest for principal of 640 and rate of 3% and time of 2 years is $3.84
How to find the simple interestThe Simple interest the end of 2 years is calculated using the simple interest formula
The formula is stated as
Simple interest = Principal * time * rate / 100
In the problem the give data include
principal = $640
rate= 3%
time = 2 years
plugging in the values
Simple interest = Principal * time * rate / 100
Simple interest = 640 * 2 * 3 /100
Simple interest = 3840 / 100
Simple interest = $3.84
The simple interest is $3.84
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What is the equation of the line through B and C? B = (4,2) C = (-1,-3).
A.y=x+2
B.y=x−2
C.y=−2x+1
D.y=−x+2
Answer:
y=x-2
Step-by-step explanation:
I graphed the equations on desmos and saw which one had those ordered pairs on the line.
Help pls help me with this question
Answer:
E 16 cm
5cm + 5cm = 10cm
3cm + 3cm = 6cm
10cm + 6cm
= 16 cm
5×3=15 so 15 is your answer
The number of tomato plants Jeff planted went from 4 last year to 12 this year. Find the percent increase.
whats the answer??
its math related
Answer:
30
Step-by-step explanation:
x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30
Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
Internal angles of a triangle sum 180°
Then:
x + 2x +3x = 180
6x = 180
x = 180/6
x = 30°
2x = 60°
3x = 90°
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
9514 1404 393
Answer:
56.8 in
Step-by-step explanation:
The side length (s) can be found using the Pythagorean theorem. The short leg of the right triangle is 17/2 = 8.5 inches.
8.5^2 + 18^2 = s^2
s = √396.25 ≈ 19.906 . . . inches
Then the perimeter is ...
2 × 19.9 in + 17 in = 56.8 in
Answer:
56.8
Step-by-step explanation:
I need Part E,F,G, and H for Math please ;(
Answer:
Rounding to tenths
E: 56.8 %
F: 48.8 %
G: 44.9 %
H: 50.4 %
Step-by-step explanation:
Hope this helps!
Answer:
50.4 percent is f
Step-by-step explanation:
and the steps is calculate it
Please need help asap, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
17. The triangles can be proven congruent by the SSS theorem.
18. The triangles cannot be proven congruent by the HL theorem, as it is not known if the triangles are right triangles.
What are the congruence theorems?The side-side-side congruence theorem, abbreviated as SSS, means that if two triangles have three equal side lengths, then the triangles are congruent.
In item 17, we have that:
Sides JK and IH are equal.Sides JI and HY are equal.Side JH is common to both triangles, hence they are equal.As the three triangles are equal, then the SSS theorem can be used to prove the congruence of the two triangles.
The HL theorem represents the hypotenuse and leg theorem, which means that if two right triangles share a hypotenuse measure along with a leg measure, then they are congruent.
Hence item 18 cannot be proven congruent by the HL theorem, as there is no information regarding whether the triangles are right triangles.
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Cardi B uses 1/2 cup of sugar to make 4 1/3 batches of brownies. How much sugar is required to make each batch of brownies?
The sugar required to make each batch of brownies is 3/26 cups
How to determine how much sugar is required to make each batch of brownies?From the question, we have the following parameters that can be used in our computation:
Brownies = 4 1/3 batches
Sugar = 1/2 cups
The amount of sugar required to make each batch of brownies is then calculated as
Sugar needed = Sugar/Brownies
Substitute the known values in the above equation, so, we have the following representation
Sugar needed = (1/2)/(4 1/3)
Evaluate
Sugar needed = 3/26
Hence, the amount is 3/26 cups
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The practice of providing help and advice to people in a community before they have to ask for it is called? A sponsor OR B outreach
Answer:
Step-by-step explanation:
B im pretty sure hope its right
3 is what percent of 15
Answer:
3 is 20% of 15
Step-by-step explanation:
A and B are complementary to each other. If m∠A = 26° + x and m∠B = 38° + x, what is the value of x?
A.13°
B.14°
C.58°
D.18°
Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S Complementary angles add up to 90 degrees
Answer:
A. 13
Step-by-step explanation:
What we are given....
∠A = 26° + x ∠B = 38° + x∠A and ∠B are complementaryIf complementary angles add up to equal 90° and ∠A and ∠B are complementary to each other
Then 26 + x + 38 + x = 90
^ ( Note that we just created an equation that we can use to solve for x )
Now its just basic algebra
26 + x + 38 + x = 90
step 1 combine like terms
26 + 38 = 64
x + x = 2x
we now have 64 + 2x = 90
step 2 subtract 64 from each side
64 - 64 cancels out
90 - 64 = 26
we now have 26 = 2x
step 3 divide each side by 2
26 / 2 = 13
2x / 2 = x
we're left with x = 13
The value x form the given complementary angles is 13°.
Given that, m∠A = 26° + x and m∠B = 38° + x.
What are complementary angles?Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).
Here, m∠A + m∠B =90°
⇒ 26° + x+38° + x =90°
⇒ 2x+64° =90°
⇒ 2x =90°-64°
⇒ 2x =26°
⇒ x = 13°
Therefore, the value x form the given complementary angles is 13°.
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Please Help! need this to pass :/
Answer:
c=66°
Step-by-step explanation:
a=51°
51+63=114°
180-114°= 66°
Answer:
66
Step-by-step explanation:
a° = 51° (corresponding angles)
a = 51
a° + c° + 63° = 180° (interior angle sum postulate of a triangle)
51° + c° + 63° = 180°
c° + 114° = 180°
c° = 180° - 114°
c° = 66°
c = 66
Find the inverse of y=3/(x+1) -2
The inverse of the function is y = 3/(x + 2) - 1
How to determine the inverse of the functionFrom the question, we have the following parameters that can be used in our computation:
y=3/(x+1) -2
Rewrite as
y = 3/(x + 1) - 2
Swap the positions of x and y
So, we have the following representation
x = 3/(y + 1) - 2
Next, we make y the subject of the formula
This gives
3/(y + 1) = x + 2
Take the inverse of both sides
(y + 1)/3 = 1/(x + 2_
So, we have
y = 3/(x + 2) - 1
Hence, the inverse is y = 3/(x + 2) - 1
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9.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18
From the above table, what is the range in the number of pools sold during this period?
8 pools
According to the table, the Range of pools sold during this period is 8.
What is Range?The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8.
Thus, the range could also be defined as the difference between the highest observation and lowest observation. The obtained result is called the range of observation. The range in statistics represents the spread of observations.
Range = Highest Value – Lowest Value
Range = 18 – 10
Range = 8
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You hike 220 meters up a steep hill that has a 43 degree angle of elevation as shown in the diagram
Answer:
9460
Step-by-step explanation: