Answer:
x = 2
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
You already know the vertex, so the axis of symmetry is the line, x = 2.
This is because the equation to graph a vertical line is x = a, where a is the x-value you want the line to intersect.
The axis of symmetry for a parabola with the vertex at (2, -4) is the vertical line x = 2.
If the vertex of a parabola is at the point (2, -4), then the axis of symmetry is a vertical line that passes through the x-coordinate of the vertex. Thus, the equation of the axis of symmetry would be x = 2. This is because, for a parabola, the axis of symmetry always passes through the vertex and is perpendicular to the directrix.
A proportional relationship is represented by the equation 3x = 18y. If y = kx, where k is the
constant of proportionality, then what is the value of k?
NEED HELP ASAP!
Answer: 1/6
Step-by-step explanation:
3x = 18y
y = kx
where,
k = constant of proportionality
3x = 18y
Divide both side by 18
3x/18 = 18y/18
y = 1/6x
k = 1/6
Lance earned $27 for mowing 3 lawns.What is the rate earned per lawn mowed?
Answer:
$9
Step-by-step explanation:
Since he got $27 for moving 3 lawns, you simply divide $27 by 3 to find out how much he earned per lawn. 27 / 3 = 9.
Answer:
27/3=9 so 9 dollars per lawn
Step-by-step explanation:
HELP ME WITH THIS MATH PROBLEM !!!
Answer: C. (25,10)
Step-by-step explanation:
Answer:
I believe its A. I'm not so sure thought so if its a test don't put it unless you are sure.
Step-by-step explanation:
Nancy exercises for 3/4 hours each day for 6 days in a row. Altogether, how many hours does she exercise during 6 days?
Answer:
4 1/2
Step-by-step explanation:
3/4 =0.75
0.75*6 =4.5
4.5=4 1/2
Answer:
4 1/2 Hours is the amount she worked out
Step-by-step explanation:
3/4 = 45 min
45 x 6 = 270 min
270 ÷ 60 = 4.5 Hours
4.5 Hrs + 4 Hours 30 Min = 4 1/2
On a trip, you had to change your money from dollars to British pounds.
You got 560 pounds for 800 dollars.
Which is a unit rate that describes the exchange?
In which number is the dign1 one thourad times togethan
is in the number 1 VLT?
A)
75
192
9
4790
D)
7332
Answer:
1 kvolt = 1 volt =1kv = 1000v
so 1000x 1 volt = 1000kv
The numebr would be the 4th number from end.
Step-by-step explanation:
Ursula's grandfather gave her $20 to spend on new songs and games for her phone. Ursula has already spent $4.50 on new songs. If each game costs $1.75, how many games can Ursula buy without spending more than her grandfather gave her? Use the following inequality to solve the problem.
20≥4.50+1.75x
A
8
B
9
C
13
D
14
Answer:
A
Step-by-step explanation:
Take 20 and subtract 4.50. That leaves you with 15.5.
15.5 divided by 1.75 equals 8.
Hopes this helps! :)
can anyone hknow number 2?
Answer:
n = y/(r+s)
Step-by-step explanation:
(rn+sn) / y = 1
Multiply each side by y
(rn+sn) / y *y= 1*y
rn+sn = y
Factor out n
n(r+s) = y
Divide each side by (r+s)
n(r+s) / (r+s) = y/(r+s)
n = y/(r+s)
What is the radius and diameter of the following circle
Answer:
Radius: 16cm
Diameter: 32cm
Step-by-step explanation: Diameter 2 times the radius. Pls give me brainliest
Answer:
Radius=16 cm Diameter=32 cm (let me know if it is for some reason incorrect)
Step-by-step explanation:
Diameter (just multiply the radius by 2)=32 cm
Radius (the length from the perimeter to the center)=16 cm
Leslie measures around his bike wheel. Then
he measures its diameter. He divides the
circumference by the diameter. What was
the quotient?
A. 2
B. 3
C. 3.14
D. Pi
Pls answer asap!!!
Joe deposits $3500 into a bank account that earns interest compounded continuously. If Joe's money
doubles in 9 years, what interest rate was used?
Answer: 8%.
Step-by-step explanation:
To find this answer, use the compounding interest rate formula, or an exponential function:
[tex]A = P(r)^t[/tex]
Where A is the amount of money after t years, using P (principal) dollars as the investment and r as the rate.
We are trying to solve for r, so substitute the correct values for the other three variables:
[tex]7000 = 3500(r)^9\\\\2 = r^9[/tex]
Solving for r, we find that r to the ninth power equals 2.
Simplifying this, r is equal to 2^(1/9), or 1.08~. The interest rate was 8 percent.
To find the interest rate, we can use the formula for compound interest compounded continuously and solve for the interest rate using logarithms. The interest rate used is approximately 7.76%.
Explanation:To find the interest rate, we can use the formula for compound interest compounded continuously: A = P * e^(rt), where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. In this case, we have A = 2P, P = $3500, and t = 9 years. Plugging in these values, we get 2P = P * e^(9r), which simplifies to 2 = e^(9r). Taking the natural logarithm of both sides, we get ln(2) = 9r.
Now, we can solve for r by dividing both sides of the equation by 9: r = ln(2) / 9. Using a calculator, we find that r is approximately 0.0776. Therefore, the interest rate used is approximately 7.76%.
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One bag of Alice's chocolate almond mix contains 40 grams of almonds and 30 grams of chocolate.
0
Almonds
(grams)
Chocolate
(grams)
+
+
0
Complete the double number line diagram to show the amounts of almonds and chocolate in 1, 2, 3, and 4
bags of Alice's chocolate almond mix.
Choose 1 answer
Answer:
are are 5 chocolate in each bag
Step-by-step explanation:
Answer:
Choice B
Almonds Grams: 0, 40, 80, 120, 160
Chocolate Grams: 0, 30, 60, 90, 120
Step-by-step explanation:
What I did was I kept multiplying by 2.
If that is too difficult just continue adding 30 or 40.
Translate the given phrase into an algebraic expression and simplify if possible: the difference of 10 and -18
Answer:
28
Step-by-step explanation:
10 - (-18) = x
10+18 = x (two negatives make a positive)
28 = x
The result of the given algebraic statement is 28.
Algebraic expressionsThe statement "the difference of 10 and -18" can be translated into an algebraic expression as follows:
10 - (-18)
To simplify this expression, we can simplify the double negative to have a positive sign as shown:
10 - (-18) = 10 + 18
Adding the numbers, we get:
10 - (-18) = 28
Therefore, the algebraic expression simplifies to 28.
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{17, 8, 25, 23, 5, 31, 28} The numbers shown above belong to which of the following sets of numbers? I. Rational Numbers II. Natural Numbers III. Whole Numbers IV. Integers A. I, III, and IV only B. I, II, III, and IV C. I, II, and III only D. I and III only
Answer:
B
Step-by-step explanation:
Rational number - a number that can be written in a fraction (-1/3, 4, 7.635)
Natural number - a number that is greater than 0 and is an integer (1, 2, 3, 4, 5)
Whole number - a number that is greater or equal to 0 and is an integer (e.g. 0, 1, 2, 3, 4, 5)
Integer - a number that can be written in a fraction and has a denominator of 1 (e.g. -364, 0, 1, 84, 2347)
A boat and trailer together weigh 2265 pounds. How much force is required to hold the boat and trailer on an 18° incline to the horizontal?
Answer:
djdmdm nendkkxdekenebrnnr
Find the value of X in this equilateral triangle.
Answer:
x=4
Step-by-step explanation:
Since this is an equilateral triangle, all the sides are equal
6x = 4x+8 = 3x +12
Using the last 2 parts
4x+8 = 3x +12
Subtract 3x from each side
4x-3x +8 =3x+12-12
x+8 = 12
Subtract 8 from each side
x+8-8=12-8
x = 4
2(3s+5) + 4(6-3s) will u help me plz help me
Answer:
If the question is asking you to simplify, here is the simplified equation:
-6s+34
Step-by-step explanation:
Distribute the 2 and 4:
6s+10+24-12s
Simplify:
-6s+34
Estimate the sum to the nearest tenth: (-2.678) + 4.5 + (-0.68) What is the actual sum?
Answer: the first one is 1.1 and the last one is 1.142
Step-by-step explanation: i just answered the question :))
Answer:
1.1 and 1.142
Step-by-step explanation:
get it right on edge
Which equation can be rewritten as x + 4 = x2?
Answer:
x^2 - x - 4
Step-by-step explanation:
I'm not sure if this is the answer you're looking for...
Answer:
x2= x + 4 is the answer. Have a great day.
Step-by-step explanation: brainliest please!!
Use a calculator to find the r-value of these data. Round the value to three
decimal places.
Answer:
The answer would be B- 0.953. I hope this helps you
Answer: b
Step-by-step explanation:
The five-number summary for the number of teams in each of Brad's fantasy football leagues is shown in the following table.
4, 10, 14, 18
The five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than how many teams?
Answer:
10.
Step-by-step explanation:
Answer:
10
Step-by-step explanation: I GOT IT RIGHT BOIIIII
Each ruby in the crowns 1/2carat.How many total carats are the rubies?
Answer:
how many rubys are there
Step-by-step explanation:
Answer:
Well I do know that there is 2,800mg in 14 carat diamonds
(sorry if this didn't answer your question)
Jared got 90% on his assignment. There were 30 questions how many did he get right
Answer:
27
Step-by-step explanation:
easy 27 divided by 30
In order to find how many correct questions Jared answered, we'll need to find 90% of 30.
To find 90% of 30, we'll need to multiply.
90% x 30 = 27
Therefore, Jared answered 27 questions correctly.
Hope this helps! :)
How would you explain surface area and volume to a 6th grader who is just now learning about these concepts?
Answer:
Surface area:
The area on the surface of a shape, so the area of the faces of the square or the area of the faces of the triangle.
(how to solve: find the area of all faces(b*h) and add them up)
Volume: the amount you can fill in that specific shape? Like, filling up a bathtub, how much water can it hold? That's volume.
(how to solve: its different for each shape, but squares are (B*W*H = Volume or V))
-A friendly 8th grader :)
a dog searching for a bone walks 3.5 m southeast, then 8.2 m at an angle 30 degrees north of east. Find the magnitude of the dog's resultant vector
The dog's resultant displacement vector, representing the total distance covered in the specified direction, is approximately 9.74 meters. This was calculated by breaking down each of the dog's movements into their Cartesian components, adding these components separately, and finally applying the Pythagorean theorem to find the magnitude of the resultant vector.
Explanation:To solve this problem, we first need to calculate each displacement in the rectangular (or Cartesian) coordinate system. Let's express each move of the dog as a vector.
First, the dog walks 3.5 m southeast. In the Cartesian coordinate system, this would be represented as two components: x (horizontal) and y (vertical). The x-component is 3.5*cos(45°) = 2.475 m and the y component is -3.5*sin(45°) = -2.475 m (negative because direction is south).
Second, the dog walks 8.2 m at an angle 30 degrees north of east. That gives us an x-component of 8.2*cos(30°) = 7.1 m and a y-component of 8.2*sin(30°) = 4.1 m.
Now add up separate x- and y-components: Our cumulative x-component is 2.475 m + 7.1 m = 9.575 m. The cumulative y-component is -2.475 m + 4.1 m = 1.625 m.
The resultant vector's magnitude can be determined with the Pythagorean theorem a² + b² = c² (where 'a' and 'b' are the legs and 'c' is the resultant vector). In this case: (9.575 m)² + (1.625 m)² = c². Solve for c to get
[tex]c = \sqrt{(9.575 \, \text{m})^2 + (1.625 \, \text{m})^2} = 9.74 \, \text{m}.[/tex]
In conclusion, the magnitude of the dog's resultant vector is approximately 9.74 m.
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I need 3 4 and 5 ill mark you brainiest
Answer:
3) x=4 4)x = 9 5) x=5
Step-by-step explanation:
3) first you have to find the inside of the angle. A straight line = 180*
180-(19x+3) = 177-19x
Than you add all the angles up to equal 180.
(177 - 19x) + (11x-2) + (9x+1) = 180
if you simplify this x = 4. You can check your answer by subbing in for x.
4)first you have to find the inside of the angle. A straight line = 180*
180- (17x-23) = 203-17x
Than add the sides up to equal 180. keep in mind there are 2 of the same angles.
(203-17x)+(7x+2)(2) = 180
Simplify
x=9
5) 180-151=29* this is the inner angle.
(11x-1)+(20x-3)+29=180
31x+25=180
x=5
A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white what is the probability of randomly selecting a red shirt
The probability of randomly selecting a red shirt from a basket of 24 T-shirts, where 12 are red, is 1/2 or 50%.
Explanation:The probability of randomly selecting a red shirt from the laundry basket can be calculated by dividing the number of red shirts by the total number of shirts in the basket. Given there are 24 T-shirts in total and 12 are red, the probability P(red) is 12 divided by 24, which can be simplified.
Here is the calculation:
Total number of T-shirts: 24Number of red T-shirts: 12Probability of selecting a red T-shirt: P(red) = Number of red T-shirts / Total number of T-shirts = 12 / 24After simplifying, P(red) = 1/2 or 50%.
Name one type of graph you've seen that helps organize numerical data.
Answer: A bar graph
Step-by-step explanation: A bar graph helps reperesent numerical data, and is easily organized.
I hope this helps!
Solve for f(5).
f(x) = 2x - 4
f(5) = [?]
Answer & Explanation Included:
f(x)= 2x - 4
f(5)= 2(5) - 4
f(5)= 10 - 4
f(5)= 6
Answer: 16
Step-by-step explanation: f(x) = 2x - 4 means that if we put an x into our function, a 2x - 4 comes out.
So if we want to find f(5), we're putting a 5 into our function which means that a 2(5) - 4 comes out which simplifies to 10 - 4 or 6.
So f(5) = 6 or the value of the function at 5 equals 6.
A regular octagon has side lengths of 9 units. Each side of the octagon is
increased by 27 units. What are the perimeters of the original octagon
and new octagon?
Answer:
The perimeter of the original octagon is:
72 units.The perimeter of the new octagon is:
288 units.Step-by-step explanation:
When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:
Perimeter of an octagon = 8 * length.By replacing you get:
Perimeter of the original octagon = 8 * 9 = 72 units.For the new octagon, it is mentioned that each side increases by 27 units, therefore:
New length = 27 + 9 = 36 units.Applying the formula of perimeter of an octagon with the new values we obtain:
Perimeter of the new octagon = 8 * 36 = 288 units.Final answer:
The perimeter of the original octagon is 72 units, while the perimeter of the new octagon is 288 units.
Explanation:
An octagon is a polygon with eight sides. Since each side of the regular octagon has a length of 9 units, the perimeter of the original octagon is 8 times the length of one side, which is 8 x 9 units = 72 units.
When each side of the octagon is increased by 27 units, the new length of each side becomes 9 + 27 units = 36 units. Therefore, the perimeter of the new octagon is 8 times the length of one side, which is 8 x 36 units = 288 units.