Answers
Related Questions
9/4x-1/2y=-3 in x and y intercepts
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Answer: 4(y/2 - 3)/9
hope this helps
y=mx + b
So
9/4x-1/2y=-3
-1/2y = -3 + 9/4x
-1/2y = 9/4x - 3
-1/2y * -2 = (9/4x - 3) * -2
y = -9/2x + 3
Therefore:
b = 3
and the slope is - 9/2
Line AC is tangent to circle O at point C
What is the measure of OAC?
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The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
The measure of m<OAC is 45degrees
Tangent line to a circleFrom the given diagram, we can see that the line A is tangential to the circle at point C, hence m<C = 90 degrees
Taking the sum of angle in a triangle
m<OAC + 45 + 90 = 180
m<OAC = 180 - 135
m<OAC = 45 degrees
Hence the measure of m<OAC is 45degrees
Learn more on circle geometry here: https://brainly.com/question/25306774
A tennis ball has a radius of 3.4 cm. What volume of this cylinder is empty?
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so, now, we simply get the volume of the cylinder, and then volume of the 3 balls, and subtract the volume of the balls from the cylinders, effectively making a hole in the volume of the cylinder, and what's leftover, is the empty area.
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=3.4\\ h=20.4 \end{cases}\implies V=\pi \cdot 3.4^2\cdot 20.4\implies V=235.824\pi \\\\ -------------------------------\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad r=3.4\implies V=\cfrac{4\cdot \pi \cdot 3.4^3}{3}\implies V=\cfrac{157.216\pi }{3}[/tex]
[tex]\bf \textit{volume of the \underline{3 balls}}\quad 3\cdot \cfrac{157.216\pi }{3}\implies 157.216\pi \\\\ -------------------------------\\\\ \stackrel{\textit{volume of the cylinder}}{235.824\pi }-\stackrel{\textit{volume of the balls}}{157.216\pi }\implies 78.608\pi [/tex]
Answer:
Thanks to point
ok nerd
Taneisha's family has signed up for a new cell phone plan. Taneisha now has a limit on the number of texts she can send or receive each month. She can text no more than 300 times per month.
1. What's is the least number of texts she can make in a month?
2.write an inequality to represent the statement. Use n for the number off texts.
3.what's is the greatest number of text she can make in a month.
4.write an inequality to represent the statement.Use n for the number of texts.
5.write the statement from parts(b) and(d) as a compound inequity.
6.write the compound inequality in compact from.
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3 and 4. Taneisha can send as many as 300 texts in a month, or n<=300.
5. In this case, n>=0 and n<=300.
6. Putting these in compound form to make them one statement gives 0 <= n <= 300.
Hard math question!
What is the inverse matrix of [tex] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] [/tex]?
Please show work!
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To show a matrix is an inverse of another matrix, we write [tex]A^{-1}[/tex]
-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.
For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.
Then multiply each entry in the matrix by 1 divided by the determinant.
[tex] \left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] = \\ \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right][/tex]
I hope this helped!
George wants to save money for a car. George invest 1300 and an account that is an interest rate of 7.5%
How many years will it take for that account 7,100?
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7100=1300 (1+0.075)^t
Solve for t
Divide both sides by 1300 to get
7100/1300=(1+0.075)^t
Take the log for both sides
Log (7100/1300)=t×log (1.075)
Divide both sides by log (1.075) to get
T=log(7,100÷1,300)÷log(1.075)
T=23.48 years round your answer to get 23 years
Hope it helps!
If m = 4 and n = 4, then m = n What property is this?
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branliest offered
which number is between -30 and 025
A. negative square root of 1610
B. negative sqare root of 680
C. negative square root of 410
D. negative square root of 27
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sqrt(1610) = 40.12 = -40.2
sqrt(680) = 36.08 = -36.08
sqrt(410) = 20.25 = -20.25
sqrt(27) = 5.20 = -5.20
is that supposed to be 025 or negative 25?
the way the question is written
the answer is C & D
The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator travels at a rate of 7.5 meters per second, approximately how long will it take to travel from the first floor to the sixty-eighth floor?
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It will take approximately 44.67 seconds for the elevator to travel from the first floor to the sixty-eighth floor, assuming it travels at a constant speed of 7.5 meters per second throughout the journey.
Explanation:To determine how long it takes for the elevator to travel from the first floor to the sixty-eighth floor, we must first calculate the total distance traveled and then use the speed of the elevator to find the time.
Since each floor is 5 meters high, the total distance for 67 floors (from the first to the sixty-eighth) is 67 floors × 5 meters/floor = 335 meters.
Given that the elevator travels at a rate of 7.5 meters per second, the time taken to travel this distance can be calculated using the formula:
time = distance/speed
Substituting the values, we get:
time = 335 meters / 7.5 meters/second
time ≈ 44.67 seconds
Therefore, it will take approximately 44.67 seconds for the elevator to travel from the first floor to the sixty-eighth floor, assuming it travels at a constant speed throughout the journey.
23X67 Estimate then find the prouduct
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so, 20* 70=1400
The actual answer is 1521, so we know we are close
Let f(x) = x2 and g(x) = x − 3. Evaluate (f ∘ g)(−2).
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F(-2-3)
F(-5)
25
Answer: f (g (-2)) = 25
Step-by-step explanation:
Hi, to evaluate (f ∘ g)(−2). Where:
f(x) = x2
g(x) = x − 3
As (f ∘ g)(−2) = f (g (-2))
First we find the value of g (-2) replacing the variable x by the number -2.
g (-2) =-2-3 = -5
Finally , for f(x) = x²,we replace the variable x for the value obtained (-5)
f (g (-2)) = (-5)²= 25
Feel free to ask for more if needed or if you did not understand something.
Suppose $1,000 is compounded quarterly for 4 years. what rate is needed to reach a total of $1,500? round to the nearest tenth of a percent.
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If point a is located at (-12,6) on a coordinate plane, and point b is located at (4,6) what is the distance between the two points
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The distance between point A at (-12, 6) and point B at (4, 6) is 16 units according to the distance formula for a coordinate plane.
Explanation:The question is asking for the distance between two points on a coordinate plane. To solve this, we use the distance formula for a coordinate plane which is D = sqrt((X2-X1)^2 + (Y2-Y1)^2), where X1, Y1 and X2, Y2 are the coordinates of the two points. In this case, both Y coordinates are the same (6), which makes the calculation simpler.
In this case, point A is at (-12, 6) and point B is at (4, 6). Subtracting the x-coordinates of A and B, (-12 - 4), we get -16, but we square this to get a positive result, which gives us 256. Since the y-coordinates are the same, the part of the equation dealing with them results in 0. So, the distance D is then the square root of 256, which is 16 units.
Learn more about Coordinate Geometry here:https://brainly.com/question/11015532
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What is the length of AB?
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Because the angles are the same, the sides are the same.
So:
6x = 3x + 9
3x = 9
x = 3
But this problem isn't over yet. We need to find AB not x.
6(3) = 18
Hope this helps!
As you can see from the diagram, this is an isosceles triangle (triangle where 2 sides are equal and angles opposite are also equal).
Since there are two 65 degree angles, the sides opposite them are also equal. So we can write:
[tex]6x=3x+9[/tex]
Solving for x:
[tex]6x=3x+9\\6x-3x=9\\3x=9\\x=\frac{9}{3}\\x=3[/tex]
Now, we want to know side length of AB, which is 6x. Plugging in x = 3 into that, we get:
[tex]AB=6(3)\\AB=18[/tex]
Answer choice D is right.
ANSWER: D
The volume of a sphere is a function of its radius, V=4/3(pie)(r^3). Evaluate the function for the volume of a volleyball with radius 11.4cm
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Given:
Volleyball (sphere) volume[tex]=\bold{\frac{4}{3} \pi r^2}[/tex]
[tex]\to \bold{r=11.44\ cm}[/tex]
putting the value into the formula:
[tex]=\bold{\frac{4}{3} \times 3.14 \times 11.4^2}\\\\=\bold{\frac{4}{3} \times 3.14 \times 1481.544}\\\\=\bold{\frac{4}{3} \times 4652.04816}\\\\=\bold{4 \times 1550.68272}\\\\=\bold{6202.73}\\\\[/tex]
The final volume of volleyball (sphere) "[tex]\bold{6202.73\ cm^3}[/tex]".
Learn more:
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To find the volume of a volleyball with a radius of 11.4 cm, we plug the radius into the formula for the volume of a sphere, V=4/3(pi)(r^3), resulting in an approximate volume of 6185.7 cubic centimeters.
Explanation:The question asks to evaluate the volume of a sphere using the given formula, which is V=4/3(pi)(r^3), where V represents the volume and r is the radius of the sphere. To find the volume of a volleyball with a radius of 11.4 cm, we substitute r with 11.4 in the formula and calculate the volume accordingly.
The calculation would be:
V = 4/3 × pi × (11.4 cm)^3
V = 4/3 × 3.14159 × 11.4 cm × 11.4 cm × 11.4 cm
V = 4/3 × 3.14159 × 1481.784 cm^3
V ≈ 4/3 × 3.14159 × 1481.784 cm^3
V ≈ 6185.7 cm^3
Therefore, the volume of the volleyball is approximately 6185.7 cubic centimeters.
If ax-a>2a and x-1<-2
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x-1<-1
ok, in the first one, we can undistribute the a
ax-a>2
a(x-1)>2
and we known that x-1<-1, so x-1 is negative
we can assign c for x-1 to do c<-1 then
a(c)>2
ac>2
so if c is negative, then therefor a must also be negve to produce greater than 2
hmm, we see 2 choices that work, B and D
hmm, if c=-1.5
then a has to be 0.75
that is a possible solution so therefor B is false
the answer is D
What is the value of a if (2a + 3) - 3/4 (4a - 8) = 7
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than it would be -x+9=7 and than subtract 7 and 9 -x=-2 divide x=2
Two cards are randomly selected from a 52-card deck. what is the probability that the draw will yield an ace and a face card?
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you have exactly $120 to spend on new school clothes, including 6% sales tax. What is the most that the clothes themselves can cost?
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120 subtracted by 7.2 is 112.8
The most the clothes themselves can cost is $112.80.
Hope this helps!
Suppose you choose a marble from a bag containing 3 red marbles, 3 white marbles, and 5 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).
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Multiply those 2 numbers together and you get 3/11 * 5/11 = (3*5) / (11*11) = 15/121
The probability of first picks the red and then blue will be,15/121.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
No of red marbles =3
No of white marbles = 3
No of blue marbles =5
Total no of the marble is;
T= 3+3+5=11
The probability of picking a red ;
[tex]\rm P_{red}=\frac{3}{11}[/tex]
The probability that the next pick will be blue is;
[tex]P_{( blue})=\frac{5}{11}[/tex]
P(red then blue) is;
[tex]P_{(red \rightarrow blue})=\frac{3}{11} \times \frac{5}{11} \\\\ P_{(red \rightarrow blue})=\frac{15}{121}[/tex]
Hence,the probability of first picks the red and then blue will be,15/121.
To learn more about the probability, refer to the link;
https://brainly.com/question/11234923
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Insert parentheses so that the expression has a value of 67: 3×5+6×2+1
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[tex][3(5+6)2]+ 1 [3(11)2] + 1 66 + 1 67[/tex]
An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the ___________ plane
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The Cartesian plane is where an ordered pair of real numbers can be represented in a rectangular coordinate system.
In a rectangular (Cartesian) coordinate system, an ordered pair of real numbers can be represented in the Cartesian plane. The Cartesian plane is formed by the xy plane, where the x and y axes are perpendicular and intersect at the origin.
Victoria is 4 years older than her neighbor . The sum of their ages is no more than 14 years .
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the neighboor's age is at most, 5 years
and victoria is 9 at most
tours of the art museum are offered every 1/3 hour starting at 10 am. the museum closes at 4 pm. how many tours are offered each day
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Multiply 3x6=18
Hope this helps!
what is the product of −4 1/2 and 2 1/2 ?
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________________________________________________________
-4 ½ * 2 ½ = [tex] \frac{-9}{2} [/tex] * [tex] \frac{5}{2} [/tex] = [tex] \frac{(-9*5)}{(2*2)} [/tex]
= [tex] \frac{-45}{4} [/tex] ; which equals: " -11 ¼ "; or write as " -11.25 " .
________________________________________________________
Or; "-4 ½ * 2 ½ = -4.5 * 2.5 = - 11.25 " .
________________________________________________________
What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?
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x^1/3 is the cube root of x
x^2/3 represents the square of the cube root of x
Note:- the power is the numerator of the exponent and the denominator of the exponents is the root
Round 12502 to nearest thousand
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Simplify the expression using properties of exponents.
12a-9b-4
9a2b6
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Prove that the eigenvalues of a matrix squared are greater than the matrix eigenvalues
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Solve the system of linear equations in two variables by elimination or substitution.
3x+y=7
-2x-y=9
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-2x-y=9
3x+y=7
y=-2x-9
3x-2x-9=7
x-9=7
x=16
Answer:
x=16, y=-41
Step-by-step explanation: