Slope intercept form:
y= mx+b
Where:
m= slope
b= y-intercept
First, solve for y:
3x-5y=-9
-5y = -3x-9
y= (-3x-9)/-5
y= 3/5x+ 9/5
So, the x- intercept is when y=0
0 = 3/5x+9/5
Solve for x:
-9/5 = 3/5x
-9/5 * 5/3 = x
x = -3
x -intercept = (-3,0)
Tia wrote a perfect square trinomial on the board, but a value is missing. Which of the following statements must be true?
Answer:
c
Step-by-step explanation:
i think it's C cause it shows you the 4×
The missing value in the given perfect square trinomial is 20. (option 2)
What is a perfect square trinomial?A perfect square trinomial is a trinomial that can be written as the square of a binomial.
Given that, Tia wrote a perfect square trinomial on the board, but a value is missing.
The trinomial is =
4x²+?+25
When comparing with (a+b)² = a²+b²+2ab
We get,
a² = 4x²
a = 2x
b² = 25
b = 5
We are asked to find, 2ab,
Therefore,
2ab = 2×2x×5
= 20x
Hence, the missing value in the given perfect square trinomial is 20.
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Three security cameras were mounted at the corners of a triangular parking lot. Camera I was 132 ft from
camera 2, which was 150 ft from Camera 3. Cameras 1 and 3 were 102 ft apart. Which lcamera had to cover
the greatest angle?
Answer:
Camera I (camera I is across from the longest side: 150 ft)
Step-by-step explanation:
I need help bro how do you find the median, perp bisector, altitude, and angle bisector of a triangle? I need to know this for my final
You can determine the median of a triangle by looking out for the point that is 2/3 of the distance tht connects from the vertices, to midpoint and oposite sides.
The perpendicular bisector is determined by measuring the point that is equidistant from the segment.
How to find the altitude and angle bisectorThe altitude of a triangle can be found by measiring the height of the triangle's extension that could be inside or outside the triangle. In obtsue triangles, this altitude is commonly found outside the triangle.
Also, the angle bisector of a triangle is the point that is equidistant from the angles sides. These descriptions can help in analyzing a trinagle.
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Tyra bought 4.5 pounds of strawberries they cost $2.60 a pound how much did she spend
Answer:
11.70
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINIEST
Answer:
C. zero
Step-by-step explanation:
because if q is 0, the fraction equals 0, so the whole thing is equal to 0
Answer:
the answer would be zero :)
Step-by-step explanation:
The second angle of a triangle is 44 less than the first angle. The third angle is two times the first. Find the
three angles.
Answer:
1st: 56, 2nd: 12, 3rd: 112
Step-by-step explanation:
Let's allow "x" to represent the first angle. This would mean:
1st: x
2nd: x-44 [ The second is 44 less than the first(x) ]
3rd: 2x [ The third is double the first(x) ]
Then, we create and equation using each of these expressions, and set it equal to 180. This is because the sum off all the angles in a triangle is equivalent to 180.
x + x - 44 + 2x = 180
4x = 180 + 44 (224)
4x/4 = 224/4
x = 56
Finally, we insert the value of x into the expressions we made in the beginning.
1st: 56
2nd: 12
3rd: 112
To check our work, we simply need to verify whether this equation is true:
56+12+112=180
This equation is valid. Therefore, the answers provided are correct.
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
18 + 30 × 20 + 15 = n
suchacxtie's profile picture
Answer:
A the answer is A
Step-by-step explanation:
break them apart put 18 into 10 and 8 and multiply it by 30 10 x 30 equals 300
30 x 8 equals 240 add them up you get 540 do the same with next one break 15 into 10 and 5 multiply 20 by 5 and you get 100 multiply 20 by 10 and you get 200 add them up and you get 300 now add the final numbers up and you get 840
how much would it cost to buy 100 shares in ODX group Inc and 300 shares
Complete Question
The complete question is shown on the first uploaded image
Answer:
The cost to buy 100 shares in ODX group Inc and 300 shares peer Comms Lts is
\(C = \$ 775\)
Step-by-step explanation:
From the chat we that the cost of 100 ODX shares is \(\$175\)
The cost of 100 peer Comms Lts is \(\$ 200\)
Hence the cost 300 peer Comms Lts is \(k = 3 * 200 = \$ 600\)
Now the cost of 100 shares in ODX group Inc and 300 shares of peer Comms Lts is mathematically evaluated as
\(C = 175 + 600\)
\(C = \$ 775\)
The cost to buy 100 shares in ODX group Inc and 300 shares in peer comm LTD is $775.
Given in question the graph here is missing.
We have to calculate the total cost of 100 shares in ODX group Inc and 300 shares in peer comms limited in year 5.
From the graph it is clear that, the x axis shows the no. of year and y axis shows the cost of 100 shares for each type.
From graph, the cost of 100 shares of ODX group in year 5 is $175.
And the cost of 100 shares of peer comm Ltd in year 5 is $ 200.
So the total cost of 300 shares of peer comm Ltd in 5 year is $(\(200\times3\)) or $600.
Now final cost of 100 shares in ODX group Inc and 300 share in peer comm Ltd is \(($600+$175)\) dollars.
Hence the cost to buy 100 shares in ODX group Inc and 300 shares in peer comm LTD is $775.
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9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
PLEASEEEEE HELP MEEEEEE!! ILL GIVE BRAINLIEST + POINTSSS!! :))
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
1. Square side = 50 ft
2. Square with side length 40 ft
3. Rectangle with 2 inscribed circles. Length of the rectangle is 20m and the width is 10m
4. Concentric circles with the radii labeled below.
The radius of the large circle is 20 m
The probabilities of landing in the shaded areas are: 0.64, 0.786, 0.785 and 0.1875
How to determine the probabilities?The attached images represent the missing information in the question
1. Square side = 50 ft
Start by calculating the square area using:
a = 50² = 2500
The diameter of the circle is represented as :
d = 50√2
So, the circle area is:
A = π(d/2)²
A = π(25√2)² = 3925
The probability of landing in the shaded area is:
P = a/A
P = 2500/3925
P = 0.64
2. Square side = 40 ft
Start by calculating the square area using:
a = 40² = 1600
The diameter of the circle is represented as :
d = 40
So, the circle area is:
A = π(d/2)²
A = π(20)² = 1257
The probability of landing in the shaded area is:
P = a/A
P = 1257/1600
P = 0.786
3. Rectangle with 2 inscribed circles
Start by calculating the rectangle area using:
A = 20 * 10 = 200
The diameter of the circles is represented as :
d = 10
So, the circle areas is:
a = 2π(d/2)²
a = 2π * (10/5)² = 157
The probability of landing in the shaded area is:
P = a/A
P = 157/200
P = 0.785
4. Concentric circles
Start by calculating the area of the bigger circle using:
A = πr²
A = π * 20² = 400π
The shaded area is then calculated as :
a = π(10² - 5²)
a = 75π
The probability of landing in the shaded area is:
P = a/A
P = 75π/400π
P = 0.1875
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Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
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The question is incomplete. The complete question will be -
A metal sphere of volume 24430 cm^3 and radius 18 cm is placed in an empty tank which is a cylinder with radius 50 cm, standing on its circular base. water is poured into the tank to a depth of 60 cm. calculate the number of litres of water needed
The number of liters of water needed is 471.24 L.
Explanation:
The problem involves finding the amount of water needed to fill a cylinder with a radius of 50 cm and a height of 60 cm. The volume of the cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. The problem also provides information about a metal sphere with a radius of 18 cm and a volume of 24430 cm^3. However, this information is not directly relevant to finding the volume of water needed.
To solve the problem, we first need to calculate the volume of the cylinder that is filled with water. The height of the water is given as 60 cm, and the radius of the cylinder is given as 50 cm. We can substitute these values into the formula for the volume of a cylinder to find the volume of water needed.
Once we have the volume of water in cubic centimeters, we can convert it to liters by dividing by 1000. This gives us the final answer in liters.
Solving:
The volume of the water needed can be calculated by finding the volume of the cylinder that is filled with water, which is given by the formula:
V = πr^2h
where V is the volume of the cylinder, r is the radius of the cylinder, and h is the height of the water.
Substituting the given values, we have:
V = π(50 cm)^2(60 cm)
V = 471,238.9 cm^3
Since 1 liter is equal to 1000 cm^3, we can convert the volume of water to liters by dividing by 1000:
471,238.9 cm^3 ÷ 1000 cm^3/L = 471.24 L
Therefore, the number of liters of water needed is 471.24 L.
A store sells mugs each mug costs the same amount. During a sale, the store reduces the price of each by $1.25. Jackson spends $11.48 on 2 mugs at the sale price. What was the price of 1 mug before the sale?
Answer:
$14.73
Step-by-step explanation:
I hope this helps
Answer:
The price was $4.49
Step-by-step explanation:
11.48÷2 = 5.74
5.74-1.25=4.49
Tell me if I'm right :)
Parts of similar triangles.
If DEF~ JHI, find EF
Answer:
\(EF = 18\)
Step-by-step explanation:
Given
\(\triangle DE\ F\) similar to \(\triangle JHI\)
Required
Find \(EF\)
\(\triangle DE\ F\) similar to \(\triangle JHI\) implies that:
The corresponding sides are:
\(DE \to JH\)
\(DF \to JI\)
\(EF \to HI\)
\(FG \to IK\)
First, solve for x using the following corresponding ratios
\(EF : HI = FG : IK\)
This gives:
\(x + 8 : 3x - 2 = 9 : 14\)
Express as fraction
\(\frac{x + 8 }{ 3x - 2} = \frac{9 }{ 14}\)
Cross multiply
\(14(x + 8) = 9(3x - 2)\)
Open brackets
\(14x + 112 = 27x - 18\)
Collect like terms
\(27x - 14x = 112 + 18\)
\(13x = 130\)
Solve for x
\(x = 10\)
In the diagram, we have:
\(EF = x +8\)
\(EF = 10 +8\)
\(EF = 18\)
A certain race car can sustain a top speed of
250 miles per hour on a straight road. If this
car had an infinitely-long straight road to
drive upon, how many miles could this race
car travel at top speed in 45 seconds?
(A) .555
(B) 3.125
(C) 187.5
(D) 11,250
Answer:
C
Step-by-step explanation:
250÷60×45=187.5
Answer is C.
Identify the steps for proving ADDC.
A. 1. BD BD by the reflexive property
2. AABD=ACBD by SAS
3. ADDC by CPCTC
B. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by SAS
3. ADDC by CPCTC
C. 1. BD BD by the reflexive property
2. AABD = ACBD by CPCTC
3. ADDC by SAS
D. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by CPCTC
3. ADDC by SAS
Kate is granted a 4.6% salary increase. If Kate's current salary is 2,500 per month, ind Kate's new monthly salary, rounded to the nearest dollar.
kates new salerie = 2500(1+0.046)= 2615 dollars
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
Translate the sentence into an inequality. Twice the difference of a number and 6 is greater than -15. Use the variable w for the unknown number.
Answer:
2(w - 6) > -15
Step-by-step explanation:
2(w - 6) > -15
⇒ 2w - 12 > -15
⇒ 2w > -3
⇒ w > -3/2
Find the measure of ∠GJK. (I need the answer as fast as possible)
Answer:
∠ GJK = 102°
Step-by-step explanation:
(2x + 92) and (3x + 63) are same- side interior angles and sum to 180° , so
2x + 92 + 3x + 63 = 180
5x + 155 = 180 ( subtract 155 from both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Then
∠ GJK = 2x + 92 = 2(5) + 92 = 10 + 92 = 102°
=
Drag up the correct symbol to make each statement true.
Answer:
1. >
2.>
3.<
4. <
Step-by-step explanation:
I am doing it from top to bottom
I hope this helps! :)
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
In circle L with mKNM=63°, find the mKLM.
The measure of angle mKLM is 31.5°.
The angle mKLM can be found using the property of inscribed angle. An inscribed angle is an angle formed by two chords that intersect inside of a circle. The measure of an inscribed angle is half of the measure of its intercepted arc. In this case, the measure of the intercepted arc is the angle mKNM, which is 63°. Therefore, the measure of the inscribed angle mKLM is half of 63°, which is 31.5°.
Formula:
mKLM = 1/2 (mKNM)
mKLM = 1/2 (63°)
= 31.5°
mKLM = 31.5°
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Find the shortest distance from Starting vertex A to F on the network below
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
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3. GEOMETRY The rectangle shown below has an area of (28x + 49) inches. Factor the expression 28x + 49.
This expression can be factored by finding the common factor of the terms of the expression.
\(\begin{gathered} 28x+49 \\ 7\cdot4x+7\cdot7 \\ 7(4x+7) \end{gathered}\)The factored expression is 7*(4x+7)
What are the exact values of a and b?
CORRECT ANSWER
WITH EXPLANATION
Step-by-step explanation:
TRY WITH SOME Trigonometric FUNCTION.
IF SOMETHING IS Wrong . I AM STILL A STUDENT
If you double a number and then add 28 , you get 4/9
of the original number. What is the original number?
Answer: -124/9 or -13.778
Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).
If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.
We have now built an algebraic equation for X. We can now simply solve for X.
2X + 28 = 4/9
2X + 252/9 = 4/9 Rewrite 28 as 252/9 so we have common denominators
2X = -248/9 Subtract 252/9 from both sides
X = -124/9 Divide by 2 on both sides and we get X
Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.
Hope this helps!
Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins.
The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.
How do you make a histogram with data?A frequency histogram or a relative frequency histogram can be used to depict data if there are several data points and we want to examine how they are distributed.A histogram resembles a bar chart in appearance, but it displays numerical data. The data must be divided into class intervals in order to make a histogram. Then make a tally to display the frequency (or relative frequency) of the data within each interval. The frequency in a given class divided by the overall number of observations is the relative frequency. The bars are the same width as the class interval and the same height as the frequency (or relative frequency).Histogram Illustration
Jessica has been self-weighing every Saturday for the past 30 weeks. She was weighed in pounds, as shown in the table below.135 137 136 137 138 139
140 139 137 140 142 146
148 145 139 140 142 143
144 143 141 139 137 138
139 136 133 134 132 132
Her weight should be a histogram.
Answer
Usually, we want histograms to have intervals between 5 and 20. With a class of width 2, which will offer us 9 intervals given that the data ranges from 132 to 148, it is practical to have.131.5-133.5
133.5-135.5
135.5-137.5
137.5-139.5
139.5-141.5
141.5-143.5
143.5-145.5
145.5-147.5
147.5-149.5
To eliminate any doubt about whether the end point belongs to the interval to its left or to its right, we chose the end points to be.5, which is why. The endpoint convention specification is a substitute. The left end point, for instance, is included by Minitab but the right end point is not.To Learn more About histogram refer to:
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find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²