the true statements for 8u + 5 + 3v are:
1.) 8u+3v+5 is written as a sum of three terms.
4.)5 is a constant.
What is constant?The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.
an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.
a function with a constant value (i.e., a constant function).
These constants are frequently represented by a variable that is independent of the main variable or variables in question.
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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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can you guys help me pls NO LINKS
The number of tomato plants Jeff planted went from 4 last year to 12 this year. Find the percent increase.
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 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
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 measure of each exterior angle for a regular polygon with 4 sides?
A. 90°
B. 60°
C. 30°
D. 45°
What is the answer
Answer:
90
Step-by-step explanation:
A regular quadrilateral is a square.
The sum of the exterior angles of a polygon is always
360 degrees
Therefore a quadrilateral has four exterior angles making the individual exterior angles
360 over 4=90 degrees
Hope this helps plz like and brainly :D
much would be appreciated <3
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! :)
$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 $3.84
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Let C be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle with radius 9, and the y-axis, oriented counterclockwise starting from the origin. Label the edges of the boundary as C1,C2,C3 starting from the bottom edge going counterclockwise. Give each edge a constant speed parametrization with domain 0≤t≤1.
Solution :
Along the edge [tex]$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.
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:
pls help I'll give you brainliest
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:
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.
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.
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°
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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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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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
How to find an equation for a line through two given points?
Answer:
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
[tex]m = \frac{6}{10} = 0.6[/tex]
Then
[tex]y = 0.6x + b[/tex]
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
[tex]y = 0.6x + b[/tex]
[tex]3 = 0.6*4 + b[/tex]
[tex]2.4 + b = 3[/tex]
[tex]b = 0.6[/tex]
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
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!!
3 is what percent of 15
Answer:
3 is 20% of 15
Step-by-step explanation:
Customers enter the waiting line at a cafeteria on a first-come, first served basis. The arrival rate follows a Poisson distribution, and service times follow an exponential distribution. If the average number of arrivals is 6 per minute and the average service rate of a single server is 10 per minute. What is the average number of customers in the system?
Answer:
the average no of customers in the system is 0.9
Step-by-step explanation:
Given that
The average number of arrivals is 6 per minute
And, the average service rate of a single server is 10 minutes
We need to find out the average no of customers in the system
So,
Lq = rho^2 / 1 ÷ rho
= (6 ÷ 10)^2 ÷ (1 - 6 ÷ 10)
= 36 ÷ 100 × 10 ÷ 4
= 0.9
Hence, the average no of customers in the system is 0.9
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.
2√54 - √27 - 3√24 how to simplify
Answer: -3√3
Step-by-step explanation: Factor out the square roots from each term
2√54 -> 6√6
√27 -> 3√3
3√24 -> 6√6
The equation becomes 6√6 - 3√3 - 6√6
By combining like terms we can eliminate 6√6
This leaves us with -3√3 as the simplified solution
Answer:
-3√3
Step-by-step explanation:
do the hcf method to get all the values outside
hcf of 54= 2, 3, 3, 3
hcf of 27 = 3, 3, 3
hcf of 24 = 2,2,3,3
2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3
take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number
2×3√2×3 - 3✓3 -3×2×3
6√6 - 3√3 - 3×2×3
6×3 - 3√3 - 3×2×3
18-18 - 3✓3
-3√3
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.
Find the angle that gives the Sine value of .9848 *
Tickets for the theater are $5 for the balcony and $10 for the floor level. The total money
collected is $350. There are 55 tickets sold all together. *
How many balcony and how many floor level tickets were sold?
O 5 balcony / 10 floor
o 50 balcony / 5 floor
O 20 balcony / 30 floor
40 balcony / 15 floor
Answer:
40 Balcony/15 floor
Step-by-step explanation:
A and C are out instantly cause the amount of tickets sold doesnt equal 55 and B is out cause 50x5=250 and 5x10=50 which totals to 300 not 350
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.
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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