Answer:
6
Step-by-step explanation:
[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]
Find the area of a circle with a radius of 9. Leave the answer in terms of π.
Answer:
A = 81π units²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius ) , then
A = π × 9² = 81π units²
If cos is x=0.25, find sin x
A) sin x ≈ 0.97
B) sin x ≈ 0.75
C) sin x ≈ 0.0625
D) sin x ≈ 0.03
Answer:
In quadrant I, the answer is A. sin(x) ≈ 0.97
Using the image above, what is the measure of Angle L? Round to the nearest hundredth
Answer:
you can approximate it to 61°
PLEASE HELP MI AMOR ILL LOVE YOU FORVER I SWEAR
Answer:
x = 8
z = 65
Step-by-step explanation:
Through various rules, we are able to assert: (6x + 67)° = 115°.
Now, we want to solve for x:
6x + 67 = 115
6x = 48
x = 8
We know that z° is equal to the complement of (6x + 67)°, and together these must sum to 180°. Therefore, we can simply take 180° - 115° to find that z° = 65°.
There are 27 animals in the barn. Some are geese and some are horses. There are 90 legs in all. How many of each animal are there
Answer:
There are 9 geese and 18 horses.
Step-by-step explanation:
Step 1: Make equations.
g ... number of geese
h ... number of horses
First equation: There are 27 animals in the barn.
g + h = 27
Second equation: There are 90 legs in all.
We know geese have two legs and horses 4.
2g + 4h = 90
Step 2: Solve the system of equations.
g + h = 27 (first equation)
2g + 4h = 90 (second equation)
Let's express g in terms of h in first equation.
g + h = 27
g = 27 - h
Now let's substitute g in second equation with g in first equation.
2g + 4h = 90
2(27 - h) + 4h = 90
And solve for h.
54 - 2h + 4h = 90
54 + 2h = 90
2h = 90 - 54
2h = 36
h = 18
Let's substitute the value of h back to first equation to get g.
g = 27 - h
g = 27 - 18
g = 9
Marcus states that the polynomial expression 3x3 – 4x2y y3 2 is in standard form. ariel states that it should be y3 – 4x2y 3x3 2. explain which student is correct and why.
The correct student is Marcus because the power of the polynomial decreases till 0
How to determine the correct student?The polynomial expressions are given as:
Marcus: 3x³ - 4x²y + y³ + 2
Ariel: y³ - 4x²y + 3x³ + 2
The standard form of a polynomial with the variable x is:
P(x) = ax³ + bx² + cx + d
This means that the power of the polynomial decreases till it gets to 0
Using the above form as a guide, the correct student is Marcus.
Marcus is correct because the power of the polynomial decreases till it gets to 0
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can someone help me with this thank you
10+5h = 25
thank you thank you thank you
Answer:
h=3
Step-by-step explanation:
Here's the explanation
Move 10 to the other side
5h=25-10
5h=15
h=15/5
h=3
10+5h=25
10+5h-10=25-10
5h=15
[tex]\frac{5h}{5}=\frac{15}{5}[/tex]
h=3
the answer is 3
5x
4x
What is the value of x? (3 ponts)
_/3
Step-by-step explanation:
I assume the 2 vertical lines are parallel.
then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).
that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.
and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).
so,
5x + 4x = 180
9x = 180
x = 20
Mark brainlist to whoever answers first
Answer:
The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1. So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.
Using f(x) = 4x + 6 with a domain of {-1, 0, 2), find the range.
A. {10, 6, 15)
B. {2, 14)
C. {-4, 0, 8}
D. {2, 6, 14}
Answer:
D
Step-by-step explanation:
Start by plugging in all the domain values (domain means input) into the function.
f(-1) = 4(-1) + 6 =-4+6=2
f(0) = 4(0) +6=0+6= 6
f(2) = 4(2) +6 = 8+6=14
What areC12, C31, and C22 of matrix C?
Compute the sum to simplify C :
[tex]C = \begin{bmatrix}16-0.5 & 9+0 \\ -3+5 & 0 + 8 \\ 4-3 & -10+14\end{bmatrix} = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ 1 & 4\end{bmatrix}[/tex]
Now, [tex]c_{ij}[/tex] is the entry of the matrix in row i and column j, so
[tex]C = \begin{bmatrix}15.5 & \boxed{9} \\ 2 & 8 \\ 1 & 4\end{bmatrix} \implies c_{12} = 9[/tex]
[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & 8 \\ \boxed{1} & 4\end{bmatrix} \implies c_{31} = 1[/tex]
[tex]C = \begin{bmatrix}15.5 & 9 \\ 2 & \boxed{8} \\ 1 & 4\end{bmatrix} \implies c_{22} = 8[/tex]
Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =
The value of uv to the nearest tenth or as an integer is 3.1 units
How to find side of a right triangle?uv is the adjacent side of the right triangle.
uv can be found using trigonometric ratios as follows:
Therefore,
tan 63 = opposite / adjacent
Hence,
tan 63 = 6 / adjacent
cross multiply
uv tan 63 = 6
divide both sides by tan 63
uv = 6 / tan 63
uv = 6 / 1.96261050551
uv = 3.05716906145
uv = 3.1 units
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A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?
kite EFGH is graphed on the coordinate plane. three of its verticies are E(1,6), F(3,5), and G(4,-3). what are the coordinates of the fourth vertex, H?
The coordinates of the fourth vertex, H is; (-6.056, 7.302)
How to find the Coordinates of a Kite?
A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.
We are given the coordinates of its' vertices as;
E(1,6), F(3,5), and G(4,-3).
The two diagonals are perpendicular;
Slope of EG = (-3 - 6)/(4 - 1)
Slope of EG = -9/5
Equation of line passing through G is;
y = mx + c
-3 = -9/5(4) + c
-15 = -36 + 15c
c = 51/15 = 17/5
y = (-9/5)x + 17/5 ------(1)
Equation of line passing through F is;
y = mx + c
6 = (5/9)(1) + c
54 = -9 + 9c
c = 7
y = (5/9)x + 7 -----(2)
Solving eq 1 and eq 2 simultaneously gives;
x = -1.528 and y = 6.151
If (a, b) are coordinates of vertex H, then;
(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151
Thus;
a = -6.056 and b = 7.302
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If m<1 = 40 degrees , what is m<2 m<3 and m<5
Answer & step-by-step explanation:
Corresponding Angles: m∠1 = m∠5; m∠2 = m∠6;
m∠3 = m∠7; m∠4 = m∠8
Alternate Interior Angles: m∠3 = m∠6; m∠4 = m∠5
Alternate Exterior Angles: m∠1 = m∠8; m∠2 = m∠7
As you can see on the picture below:
simplify PLEASE HELP ASAP
Answer:
[tex]0 < x < 6[/tex]
Step-by-step explanation:
This question asks to solve an inequality which can be written as:
[tex]\sqrt{x^2-6x+9} < 3[/tex]
Solve for x:
[tex]\sqrt{x^2-6x+9} < 3\\x^2-6x+9 < 9\\x^2-6x < 0\\x(x-6) < 0[/tex]
From here we can deduce that the inequality is [tex]0[/tex] when:
[tex]x = 0[/tex] or [tex]x = 6[/tex]
We can write the solution as:
[tex]0 < x < 6[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 3x - 3x+ 9 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{}(x - 3) - 3(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3)(x - 3) } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ (x - 3) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: { (x - 3) {}^{} } [/tex]
Now, we have been given that value of x :
[tex]\qquad \sf \dashrightarrow \:x < 3[/tex]
So, let's plug the value of x as 3 in the given expression ~
[tex]\qquad \sf \dashrightarrow \:3 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:0[/tex]
Therefore, we can conclude that :
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } < 0[/tex]
Value of the expression should be less than 0
A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are red? Write your answel as a fraction in simplest form.
=========================================================
Explanation:
There are 3 red out of 9 total
The probability of picking red at random is 3/9 = 1/3
If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4
Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.
Now multiply the fractions mentioned:
(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12
If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.
Side note: 1/12 = 0.0833 = 8.33% approximately
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The volume of a container is 576 cubic feet.
The height is 6 feet; the width is 8 feet; find
the length.
Answer: 48 feet
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
Containers are generally in the shape of a rectangular prism.
Formula
Volume = Length x Width x Height576 = 8 x 6 x LengthLength = 576/48Length = 12 feetRound 381,726 to the nearest thousand
You buy milk that contains 180 calories per 2 cups. use a ratio table to find the number of calories in 16 cups.
Which equation is graphed here?
y−1=−13(x−1)
y−1=−13(x+1)
y+4=3(x−1)
y−4=−3(x+1)
Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through (negative one, four) and (one, negative two).
Answer: Choice D
y-4 = -3(x+1)
========================================================
Explanation:
Let's first find the slope of the line through (-1,4) and (1,-2)
[tex](x_1,y_1) = (-1,4) \text{ and } (x_2,y_2) = (1,-2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-2 - 4}{1 - (-1)}\\\\m = \frac{-2 - 4}{1 + 1}\\\\m = \frac{-6}{2}\\\\m = -3\\\\[/tex]
The slope is -3, which tells us that the answer must be choice D.
Choices A,B, & C can be eliminated because choices A and B have a slope of -13, while choice C has a slope of 3.
Refer to the point-slope format [tex]y-y_1 = m(x - x_1)[/tex] where m is the slope and [tex](x_1,y_1)[/tex] is a point the line goes through.
Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why
Answer:
yo whats your name i think that we are from the same class
Step-by-step explanation:
PLS HELP!!
What is the measure of ZXYZ?
A. 63°
B. 54°
C. 252°
D. 126°
For Which distributions is the median the best measure of center?
Select each correct answer
Answer: 6, 6, 9 and 25
Step-by-step explanation:
bbringingbbringingout the data's from the graph and arrangementsarrangingarrangingarrangementsarrangingarranging them serially that's from smallest to biggest biggest, then selecting the middle number if the number of entire entries is an odd number but if it's an even number you take the average of the two middle number
12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =
Add 12 and 5 to get 17.
17 + 32 × 10 − 5Multiply 32 and 10 to get 320.
17 + 320 − 5Add 17 and 320 to get 337.
337−5Subtract 5 from 337 to get 332.
332 ===> Answer
Exercise number 2.(12 + 5) + 32 × (10 − 5)Add 12 and 5 to get 17
17 + 32 (10 − 5)Subtract 5 from 10 to get 5.
17 + 32 × 5Multiply 32 and 5 to get 160.
17+160Add 17 and 160 to get 177.
177 ===> Answer
The triangular prism below has a base area of 31 units^2
and a volume of 310 units^3
Find its height.
The height of the given triangular prism.
Solution:[tex]h = \frac{V}{ A_{B}}[/tex]
[tex]h = \frac{310}{31} [/tex]
[tex]\large\boxed{\sf{h=10 \: units}}[/tex]
Therefore, the height of the given triangular prism is 10 units.
h= 310/31
h= 10 units
hope this helps
What is the sum of the interior angles of a polygon that has 6 sides
Answer:
720
Step-by-step explanation:
A polygon with 6 angles is called a hexagon
To find the sum of interior angles, we use the following formula:
(n-2)*180 (n is the number of angles)
4*180 = 720
PLEASE HELP ASAP!!!
(k12 students appreciated!!)
What are the zeros of the function?
ƒ(x)= x^3+x^2-6x
Answer: x = 0, x = -3, x = 2
Step-by-step explanation:
f(x) = x^3 + x^2 - 6x
f(x) = 0
x^3 + x^2 - 6x = 0
x(x^2 + x - 6) = 0
x = 0 or
x^2 + x - 6 = 0
D = b^2 - 4ac = 1 - 4*(-6) = 25
x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or
x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)? 2 x superscript 4 baseline minus 3 x cubed minus eleven-halves 2x2 x – 3 – startfraction 6 over x squared minus 2 x 1 endfraction 2x2 – x 2x2 x – 3
The answer choice which represents the quotient of the polynomials given is; 2x² +x -3.
What is the quotient of the polynomial division?According to the task content, the quotient of the polynomial division; (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is required;
Hence, it follows from long division of polynomials that the required quotient is; 2x² +x -3.
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Answer:
D: 2x² +x -3
Step-by-step explanation:
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)
Answer:
Step-by-step explanation:
