Answer:
the answer is d
Step-by-step explanation:
i took the quiz on Edge
The solution to the system of linear equations graphed below if, On a coordinate plane, 2 lines intersect at (3.5, negative 4) is (0, negative 4).
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.
Given:
On a coordinate plane, 2 lines intersect at (3.5, negative 4),
the coordinates of the intersection point are (3.5, -4)
The equation of must satisfy these coordinates,
On the y-axis line will have no x-intercept i.e. x = 0
Hence, the coordinates will become (0, -4)
Thus, the solution to the system of linear equations graphed below is (0, negative 4).
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You deposit $300 in a savings account. The account earns 2% simple interest per year. What is the interest and balance earned after 10 years?
Answer:
$365.70
Step-by-step explanation:
The formula to find this is [tex]y = a(1+r)^t\\[/tex]
For this, a is the initial amount, r is the growth rate percentage (but displayed as a decimal), and t is time.
So to solve, you would do
[tex]y = 300(1+0.02)^10\\y = 300(1.02)^10\\y = 365.698325998\\OR\\y = $365.7 in interest[/tex]
The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 6 of the games? Round your answer to the nearest tenth of a percent.
Answer: its 7
Step-by-step explanation:
Joan deposited $550 into her savings account for two years. She received 1.8% simple
interest on her money. How much money did she have at the end of the two year term?
Answer:$569.8
Step-by-step explanation:
To find the amount received for$550 deposited for 2yrs at 1.8% per annum
I=prt/100
I=550×1.8×2/100
I=$19.8
To find the whole money deposited after 2yrs
A=I+p
A=$19.8+550
A=$569.8
What is the radius of the circle?
r=1 because its in the middle
Answer: The radius of the circle would be 4 because if you count from the center going either up, down, left, or right you would count 4. The radius of the circle will remain the same no matter which way you go
Step-by-step explanation:
Which formula gives the x-coordinates of the maximum values for y = cos(x)? k pi for any integer k k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis StartFraction k pi Over 2 EndFraction for any positive integer k StartFraction k pi Over 2 EndFraction for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Answer:
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Step-by-step explanation:
The cosine is a maximum when its argument is at multiples of 2π.
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
_____
Both of us could probably read this more easily if you would use appropriate math symbols.
Answer:
B
Step-by-step explanation:
What is the value of 3z when z = 1.2
Answer:
3.6
Step-by-step explanation:
3z when z = 1.2
3(1.2)= 3 x 1.2
= 3.6
Answer:
3.6
Step-by-step explanation:
You plug in 1.2 to x
3(1.2)
do 12x3=36
Then add the decimal point
3.6
A circle is divided into 4 slices. The slices are arranged into the shape
shown. What a hapo would you get closer to if you kept cutting the circle
into more and more alices?
Hexagon
Rectangle
Pentagon
Triangle
, SOMEONE PLZ HELPPPPP
On cutting the circle into more and more slices, its shape will get closer to a rectangle.
What is a circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
Given that, a circle is divided into 4 slices. The slices are arranged into the shape.
So, when we will cut the circle into similar manner, the shape we will get closer to will be a rectangle,
When we will calculate the perimeter and the area of the obtained rectangle, it will be equal to the circle.
Hence, on cutting the circle into more and more slices, its shape will get closer to a rectangle.
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Final answer:
When a circle is divided into more and more slices and these slices are rearranged, they approximate a circle more closely. While a hexagon may seem like a closer shape due to the angles of its vertices, the ultimate shape remains a circle.
Explanation:
If a student rearranges the slices from a circle cut into more slices, they would get a shape that approximates a circle more closely as the number of slices increases. As each slice becomes thinner, the perimeter of the rearranged shape starts resembling a smooth curve, which is the characteristic of a circle.
Looking at the angles provided, a triangle has 60° angles, a square has 90° angles, a pentagon has 108° angles, and a hexagon has 120° angles. The figures suggest that a hexagon would be a more favorable shape when arranging slices because the angles of a hexagon (120°) are closer to the 360° of a full circle when divided by an increasing number of slices. However, when arranging the slices, the ultimate shape one gets closer to is the circle itself, irrespective of the polygonal shape intermediate stages may suggest.
Prove that in the plane the perpendicular bisector of a chord in a circle contains the center of the circle
The perpendicular bisector of a chord in a circle contains the center of the circle.
Explanation:To prove that the perpendicular bisector of a chord in a circle contains the center of the circle, we can use the fact that the perpendicular bisector of a chord passes through the center of a circle.
Let ABC be a chord in a circle with center O. We want to show that the perpendicular bisector of AB passes through O.
Since AB is a chord, it intersects the center O. Let P be the midpoint of AB. The line segment OP is a radius of the circle, and the line segment AB is perpendicular to OP at P. Therefore, the perpendicular bisector of AB passes through O, the center of the circle.
Help Please please please
Answer:
its 1234
Step-by-step explanation:
Paula walked on the treadmill for 13 minutes. The machine told her she had a total of 858 strides. What was her rate in strides per minute?
A. 65 strides per minute
B.
66 strides per minute
C. 64 strides per minute
D. 67 strides per minute
Answer:
64
Step-by-step explanation:
832/13
a = 8, b = 15, C = 17
Verify if the sides form a
right triangle.
If yes, color
Z red.
If no, color
2 yellow
Answer:
yes, if this is not how you do it i am sorry i tried :(
Step-by-step explanation: Because 8 squared is 64, 15 squared is 225 and 17 squared is 289, 64+225=289 so it will form a right triangle and 289 squared is 17.
The length of a rectangle is 4 feet less than 3 times its width. The perimeter of the rectangle
is 54 feet. Which equation can be used to find the width (w) of the rectangle?
Final answer:
To find the width (w) of the rectangle, set up an equation using the given information and the formula for the perimeter of a rectangle. Solve the equation to find the width.
Explanation:
To find the width (w) of the rectangle, we can set up an equation based on the given information and the formula for the perimeter of a rectangle. Let's start by assigning variables: let w be the width of the rectangle and let l be the length of the rectangle. According to the problem, the length of the rectangle is 4 feet less than 3 times its width. So we have the equation l = 3w - 4. The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter. Since the perimeter is given as 54 feet, we have the equation 54 = 2(l + w). We can substitute the expression for l from the first equation into the second equation: 54 = 2((3w - 4) + w). Simplifying this equation will allow us to solve for the width (w) of the rectangle.
Which statement is true about the box plots?
The correct statement in the box plot is that the ranges of the box plot is the same but the interquartile range are different
How to find the range
The range in a box plot is the difference between the maximum and minimum values
Solving for the range
Marc's class: 10 - 1 = 9
Sue's class: 12 - 3 = 9
Solving for the interquartile range
Marc's class: 9 - 3 = 6
Sue's class: 10 - 5 = 5
how do you solve 5y+1=10y^2
[tex]5y+1=10y^2\\10y^2-5y-1=0\\D=(-5)^2-4*10*(-1)=25+40=65=\sqrt{65}^2 \\y_1=\frac{5+\sqrt{65} }{20} \\y_2=\frac{5-\sqrt{65} }{20}[/tex]
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P.S. Hello from Russia :^)
“Find the missing variable for this proportion.”
In ΔDEF, d = 92 cm, e = 42 cm and ∠F=141°. Find the length of f, to the nearest centimeter.
Answer:
127.4
Step-by-step explanation:
a^2+b^2-2(ab)CosC
The side f will be 127.41 cm long.
What is cosine law?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
Given is triangle DEF, we need to find the length of the side f, if d = 92 cm, e = 42 cm and ∠F = 141°.
So, using the cosine law,
[tex]c^2=a^2+b^2-2ab\cdot \cos \left(\gamma \right)[/tex]
Therefore,
[tex]f=\sqrt{d^2+e^2-2de\cos 141_{\degrees}[/tex]
[tex]f=\sqrt{42^2+92^2-2\cdot \:42\cdot \:92\cos \left(141^{\circ \:}\right)}[/tex]
f = 127.41
Hence the side f will be 127.41 cm long.
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Write 5,482 in expanded form
Answer:
5000 + 400 + 80 + 2
what is 3/5 to the 0 power
Answer:
1
Step-by-step explanation:
(3/5) ^0
Anything raised to the zero power is 1
(except 0) but we will leave that for an advanced math discussion
Answer:
3
Step-by-step explanation:
What the answer for 3(X+5)=27
Answer:
4
Step-by-step explanation:
3x+15=27
3x=12
x=4
that is the steps
Answer:
4
Step-by-step explanation:
3x + 15= 27
-15. -15
3x = 12
÷3
x= 4
What is 9z when z = 2
Answer:
18
Step-by-step explanation:
9 times 2 equals 18
Answer:
18
Step-by-step explanation:
9z, z=2
9x2=18
What does [8+(2*12)]*2 equal?
Answer:
64
Step-by-step explanation:
take 2x12=24+8=32x2=64
Answer:
64 is the answer.
Step-by-step explanation:
To solve this problem, you need to follow the rules of PEMDAS.
That means what is the the parentheses is solved first, then exponents, then you solve the multiplication and division, and then you solve the addition and subtraction.
2*12 is the most specific parentheses, therefore it is solved first.
2*12 equals 24.
The problem is now
[8+24] *2
Then you add 8 and 24, which is also in the parentheses.
8 + 24= 32
The problem is now :
32*2
Then you solve the multiplication.
32*2= 64
Therefore the answer is 64.
mrs.bonnett's recipe for banana bread calls for three and one fourths cups of sugar. she wants to make 6.5 batches so that she has enough for everyone. how much sugar will she need
Answer:
[tex]21\frac{1}{8}[/tex] Cups
Step-by-step explanation:
[tex]6.5(3\frac{1}{4} ) = 21\frac{1}{8}[/tex]
Ms. Lanigan rolls a fair die 300
times. How many times does she roll an even
number, theoretically and experimentally?
Should be around 150 as 3/6 of the numbers on a die are even so thats 1/2 and 300x(1/5) or just 300x0.5 or just 300/2 equals to 150
Theoretically, it would be 150 times that it rolls even. For half of the dice's sides being even and an equal chance of it landing on any of them.
Experimentally, it could be anything between 0-300, although after so many trails in it, it would be extremely likely that it would be near 150.
If it was only 10 trials of instance it would likely have a greater margin of difference compared to the theoretical probability.
Which expression is equivalent to 25*4
A.4x25
B.(20+4)x5
C.20 x 5 x 4
D.(20+5) x (20+4)
Which of the following points is on the circle given
by the equation (x − 5)2 + (y + 3)2 = 25?
A. (5, −3)
B. (8, −6)
C. (2, 1)
D. (4, −8)
Final answer:
The correct point that lies on the circle defined by the equation (x − 5)² + (y + 3)² = 25 is point C (2, 1), as substituting these values into the equation results in 25, which matches the right side of the equation. Thus, option C is correct.
Explanation:
To find which point is on the circle given by the equation (x − 5)² + (y + 3)² = 25, you can plug the x and y values from each option into the equation and see if it holds.
For point A (5, − 3), the equation becomes (5 − 5)² + (− 3 + 3)², which simplifies to 0 + 0 = 0. This is not equal to 25, so point A is not on the circle.
For point B (8, − 6), the equation becomes (8 − 5)² + (− 6 + 3)², which simplifies to 9 + 9 = 18. This is not equal to 25, so point B is not on the circle.
For point C (2, 1), the equation becomes (2 − 5)² + (1 + 3)², which simplifies to 9 + 16 = 25. This is equal to 25, so point C is on the circle.
For point D (4, − 8), the equation becomes (4 − 5)² + (− 8 + 3)², which simplifies to 1 + 25 = 26. This is not equal to 25, so point D is not on the circle.
The correct answer is point C (2, 1), as it satisfies the equation of the circle.
Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.
q= 5/5
q = -5/5
q=375
q=-3/5
q = 2575
Answer:
None of the options are correct
Step-by-step explanation:
Given
[tex]f(q) = q^2 - 125[/tex]
Required
The roots of the function
Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0
[tex]f(q) = q^2 - 125[/tex] becomes
[tex]0 = q^2 - 125[/tex]
Make [tex]q^2[/tex] the subject of formula
[tex]125= q^2[/tex]
Rearrange
[tex]q^2 = 125[/tex]
Take square roots of both sides
[tex]\sqrt{q^2} = \sqrt{125}[/tex]
[tex]q = \sqrt{125}[/tex]
Expand the square root of 125
[tex]q = \sqrt{25 * 5}[/tex]
[tex]q = \sqrt{25} * \sqrt{5}[/tex]
q = ±5 [tex]* \sqrt{5}[/tex]
Split into 2
[tex]q = 5 * \sqrt{5}[/tex] or [tex]q = -5 * \sqrt{5}[/tex]
[tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]
Hence, the roots of the quadratic function are [tex]q = 5 \sqrt{5}[/tex] or [tex]q = -5 \sqrt{5}[/tex]
Answer:
Step-by-step explanation:
What is the product of 4.5 ⋅ 105 and 1.6 ⋅ 102? (1 point)
6.1 ⋅ 10^7
7.2 ⋅ 10^7
6.1 ⋅ 10^10
7.2 ⋅ 10^10
Answer:
Answer is option b) 7.2×10^7
Step-by-step explanation:
[tex]we \: know \: that \: \\ {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {10}^{5} \times {10}^{2} = {10}^{5 + 2} \\ = {10}^{7} \\ 4.5 \times 1.6 = 7.20 \\ = 7.2 \\ hence \: the \: answer \: is \: 7.2 \times {10}^{7} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
The product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This is achieved by first multiplying the coefficients (4.5 and 1.6), and then adding the powers of 10 (105 + 102).
Explanation:First, to multiply these numbers in scientific notation, we begin by multiplying the coefficients and then add up the powers of 10.
So, 4.5 ⋅ 1.6 = 7.2 and then 105 + 102 = 107. Therefore, the product of 4.5 ⋅ 105 and 1.6 ⋅ 102 is 7.2 ⋅ 107. This means it is the second option listed in your potential multiple choice answers above.
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What is the volume of the figure below, in cubic centimeters?
756
936
1008
1080
Answer:
B 396
Step-by-step explanation:
How does the graph of f(x) - 3(x)|x+2|+4 relate to its parent function?
A. The parent function has been translated up.
B. The parent function has been translated to the left.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A.] The parent function has been translated up.
B.] The parent function has been translated to the left.
D.] The parent function has been stretched.
Note:
This may be late, but hopefully this answers those who still seek this question <3
The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched. Then the correct options are A, B, and, D.
What is a parent function?A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.
The function f(x) - 3|x+2|+4 is graphed. The parent function has been translated up. The parent function has been translated to the left. The parent function has been stretched.
Hence, the correct options are A, B, and, D.
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Determine whether the two quantities is proportional
Answer:
No, is not proportional because it does not go through the origin
Step-by-step explanation:
In order to find whether this is proportional or not you gotta divide y from x
and if the result is the same it means the relationship it is proportional.
30/2=15
40/4=10
50/6=8.333
The relationship is not proportional