Answer:
14
Step-by-step explanation:
The diameter of a circle is twice the radius
d = 2*r
d = 2*7
d =14 m
Answer:
diameter = 14
Step-by-step explanation:
given that the radius of a circle = 7m
diameter = ?
recall that the formulae for finding the diamer = 2 x radius
diameter = 2 x 7
diameter = 14
Select all of the following that are quadratic functions.
x = 3y2 – 6y + 5
y + 3 = –2 x 2+ 5
y = 2 x 2 – 8 x + 6
y= –7 x – 4
y – 3 x = 4 x 3 – x2 + 9
y = 5 x(x + 9) – 8
y – 2 x 2 = 3 x – 2 x 2 + 4
2. y + 3 = -2x^2 + 5
3. y = 2x^2 - 8x + 6
6. y = 5x (x+9) - 8
Out of the given functions, y + 3 = –2 x 2+ 5, y = 2 x 2 – 8 x + 6, y = 5 x(x + 9) – 8 and y – 2 x 2 = 3 x – 2 x 2 + 4 are quadratic functions. They fit the standard quadratic form a*x^2 + b*x + c = y.
Explanation:A function can be classified as a quadratic function if it can be written in the standard form a*x^2 + b*x + c = y, where a, b, and c are constants and a is not equal to zero. Quadratic functions graph as a parabola.
x = 3y2 – 6y + 5: This is not a quadratic function in y due to its form.y + 3 = –2 x 2+ 5: This is a quadratic function in variable 'x' once rearranged to the standard form.y = 2 x 2 – 8 x + 6: Thus is a quadratic function. It clearly fits the standard form.y= –7 x – 4: This is a linear function in 'x', not quadratic.y – 3 x = 4 x 3 – x2 + 9: This is a cubic function due to the term with x^3, not quadratic.y = 5 x(x + 9) – 8: After expanding the multiplication to get y = 5x^2 + 45x - 8, we can see that it is a quadratic function.y – 2 x 2 = 3 x – 2 x 2 + 4: This is a quadratic function in 'x' once rearranged to the standard form.Learn more about Quadratic Functions here:https://brainly.com/question/35505962
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Which expression is equivalent to 12^4(x-3)(x+5)/30x(x+3)(x+5)
Answer:
x+5
Step-by-step explanation:
Answer:
[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
Step-by-step explanation:
[tex]$ \frac{12^4(x-3)(x+5) }{30x(x+3)(x+5)} $[/tex]
[tex]$\frac{12^4\left(x-3\right)}{30x\left(x+3\right)}$[/tex]
[tex]$\frac{2^8\cdot \:3^4\left(x-3\right)}{2\cdot \:3\cdot \:5x\left(x+3\right)}$[/tex]
[tex]$\frac{2^7\cdot \:3^3\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
You have a cylindrical pond that has a diameter of 30 feet and has a depth of 5 feet. If you need to fill the pond one-quarter of the way up with water and water costs $3.25 per cubic foot, how much will you need to spend to fill the pond?
First, calculate the volume of water needed to fill the pond one-quarter of the way up, then multiply that by the cost per cubic foot to find the total cost, which is approximately $2297.29.
Explanation:The subject of this question is Mathematics, more specifically, it involves the use of geometry and algebra. The question is asking about the cost of filling a cylindrical pond one-quarter of the way up with water, given the dimensions of the pond and the price of water per cubic foot.
To answer this question, we first need to determine the volume of water needed. Since the pond is cylindrical, we use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. The diameter is given as 30 feet, so the radius is 15 feet (half the diameter), and we're filling to a depth of 1.25 feet (one-quarter of the 5-foot depth). This gives us a volume of approximately 706.86 cubic feet.
We then multiply this volume by the price of water. At $3.25 per cubic foot, that's a total cost of about $2297.29. So, you would need to spend approximately $2297.29 to fill the pond one-quarter of the way up with water.
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The interior angle of a regular polygon is 115 degrees. What is the exterior angle?
Answer:
Step-by-step explanation:
exterior angle=180-115=65°
find the exact value of tan(x+y) if csco= 5/3 and cosy=5/13
Answer:
-63/16
Step-by-step explanation:
csc x = 5/3
sin x = 3/5
So x is the angle in a 3-4-5 triangle, opposite of the 3.
cos y = 5/13
So y is the angle in a 5-12-13 triangle, opposite of the 12.
tan(x + y) = (tan x + tan y) / (1 − tan x tan y)
tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))
tan(x + y) = (3/4 + 12/5) / (1 − 9/5)
tan(x + y) = (15 + 48) / (20 − 36)
tan(x + y) = -63/16
36 is what percent of 46
Answer:
78.26%
Step-by-step explanation:
Can someone help me with a and b thank you
Given:
a) Area = 121 ft²
b) Area = 81 yd²
To find:
The side length of each square
Solution:
a) Area = 121 ft²
Area of the square = s²
⇒ s² = 121
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 121}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}[/tex]
Square root and squares get canceled.
⇒ s = 11
The length of each side of the square is 11 ft.
b) Area = 81 yd²
Area of the square = s²
⇒ s² = 81
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 81}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}[/tex]
Square root and squares get canceled.
⇒ s = 9
The length of each side of the square is 9 yd.
The perimeter of a square is 80 cm. What is the area?
Answer:
A = 400 cm^2
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
80 = 4s
Divide each side by 4
80/4 = 4s/4
20 =s
We want to find the area of the square
A = s^2
A = 20^2
A = 400 cm^2
Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and D(-2,4).What is the area of the rectangle ABCD?
Answer: 15
Step-by-step explanation:
When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15
thank you!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
square root of 36 is 6 ^w^
u = 6
The graph below shows the hours students spent studying and their science test scores.
Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.
A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours
Answer:
4.5
Step-by-step explanation:
Just took the Test
The required time the student spends on studying is 9.5 hours. Option C is correct.
What is a scatter plot?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
here,
Given the regression line,
y = 3.1 x + 40.5.
Put y = 70
70 = 3.1x + 40.5
70 - 40.5 = 3.1x
x = 29.5/3.1
x = 9.51
Thus, the required time the student spends on studying is 9.5 hours. Option C is correct.
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0.42 with repeating 2, as a fraction.
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Final answer:
The correct simplified form is \(\frac{1}{r^7} + \frac{1}{s^{12}}\), with each term representing the reciprocal of the base raised to a positive exponent and kept as separate terms.
Explanation:
The simplified form of r-7 + s-12 is \(\frac{1}{r^7} + \frac{1}{s^{12}}\). The negative exponents indicate that each term is the reciprocal of the base raised to the positive exponent. So, r-7 becomes \(\frac{1}{r^7}\) and s-12 becomes \(\frac{1}{s^{12}}\). Since these are two separate terms, they are not combined together into a single fraction.
Solve the inequality: -5x ≥-20 a. x ≤ 4 b. x ≥ -4 c. x≥ 4 d. x ≤ -4
Answer:
a. x ≤ 4
Step-by-step explanation:
-5x ≥ -20
Divide by -5
-5x / (-5) ≤ -20 / (-5)
x ≤ 4
what is the length of df to the nearest tenth
Answer:
bro I don't even remember this sorry wish I could help tho
Answer:
8.1 units
Step-by-step explanation: Here is the question?
What is the length of DF¯¯¯¯¯?
Round the answer to the nearest tenth. The link is the picture for the problem if you need it.
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the
- foreign language they are studying. Charles first gets class lists of all students taking foreign language classes. He then
chooses 10 students from each different language class to survey. Which best explains why the sample he chose may not be
a representative sample?
The sample size is not large enough to represent the population.
The sample was not chosen at random
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
The way the sample was chosen does not sample students from each different language class.
Answer:
The sample was not chosen at random.
Step-by-step explanation:
For it to be a representative sample the selection needs to be completely random.
Answer:
The sample was not chosen random .
Step-by-step explanation:
16)
What is 8.3 x 10-3 in standard form?
0.00083
0.0083
0.083
8.300
Answer:
0.0083
Step-by-step explanation:
Move the decimal place to the left three times
Answer:
0.0083
Step-by-step explanation:
What is the value of 4y when y=-3
Answer:
-12
Step-by-step explanation:
a positive times a negative is a negative
Uisng the appropriate arithmetic operation, the value of 4y when y = - 3 is - 12.
To obtain the value of 4y, we substitute, the value of y into the equation thus :
4y ; y = - 34(-3) = 4 × - 3
4(-3) = - 12
Hence, the value of 4y = - 12
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2x - 2y = 6
3x + 2y = 9
Solve the system of equations.
A) x = 0, y = 3
B) x = 3, y = 0
C) x = 1, y = -2
D) x = -2, y = 1
Answer:
B) x = 3, y = 0
Step-by-step explanation:
I will use the subtraction method, at least i think it is the subtraction method lol:
2x - 2y = 6
3x + 2y = 9
1: Combine
5x=15
x=3
2: Substitute
2(3)-2y=6
6-2y=6
-2y=0
y=0
3: Check by pluggin answers in
2(3)-2(0)=6
6-0=6
6=6 true
3(3)+2(0)=9
9+0=9
9=9 true
DISCLAIMER: the answers might not be right, so you should check just in case and i hope this made sense, you can ask questions too.
also... i would be great if i got a brainliest because i need one more to level up but you don't have to bc i bet someone has a better explanation hehe
Please help !! I would really appreciate it
Answer:
Runner 1
Step-by-step explanation:
Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10
Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)
Runner 3's speed is slope = (36-18)/(4-2) = 9
The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5
In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second?
To find the air pressure of a thunderstorm, the given wind velocity is substituted into the function and the equation is solved for the air pressure in millibars.
Explanation:To find the air pressure of a thunderstorm where the wind velocity is 49.3 meters per second, we need to substitute this given wind velocity into the given function and solve for p.
First, we equate the function v(p) = 5.7 √998 - p with the given wind velocity, so we get 49.3 = 5.7 √998 - pSecond, we isolate the square root term on one side by dividing both sides by 5.7 which gives √998 - p = 49.3/5.7Then we square both sides to get rid of the square root: (998 - p) = (49.3/5.7)² After simplifying the equation, we can solve for p, which is the air pressure in millibars.Learn more about Air pressure calculation here:https://brainly.com/question/13624217
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To calculate the air pressure during a thunderstorm with a wind speed of 49.3 m/s, use the mathematical function provided. Solve for 'p' by setting the function equal to given wind speed, isolating 'p', and calculating thereafter.
Explanation:The student's question pertains to finding an unknown in the function v(p) = 5.7 √998 - p, given that the wind velocity is 49.3 m/s. The expression given is for wind velocity in a storm, based on changing air pressure. To answer this, we need to solve the equation for 'p'.
1. First, we set the equation equal to 49.3: 49.3 = 5.7 √998 - p
2. Then we isolate the square root term by dividing by 5.7: (49.3/5.7) = √998 - p
3. After that, we square both sides to eliminate the square root: (49.3/5.7)^2 = 998 - p
4. We then isolate 'p' by subtracting the result from 998: p = 998 - (49.3/5.7)^2
Doing the calculations will give the approximate value of 'p', which is the air pressure in millibars for a thunderstorm with a wind velocity of 49.3 m/s.
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Find x if these are similar:
7 cm, 3 cm, 12 cm, and x cm
Answer:
i want to say 28
Step-by-step explanation:
this is because 3 times 4 is 12 so i multiplied 7 by 4
Nigel tried to solve an equation step by step.
1/2(2h-4)=20
2h−4=10 step1
2h=14 step2
h=7 step 3
What step did he FAIL on?
Answer:
the answer should be h=22 so i would say step 1
Step-by-step explanation:
The mistake was in Step 1.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The equation is
(1/2) (2h-4) = 20
2h-4 = 40
2h = 44
h = 22
The mistake was in step 1, where Nigel should have multiplied 20 by 2 and not divide it by 2.
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Using the drawing Below, find all the possible situations it could be describing. Mark all situations that apply to the inequality.
A. Any temperature that is at 0°C or below will allow water to freeze.
B. Marcus saved one dollar every day from his lunch money.
C.Hank had no money for his trip so he had to keep borrowing money to make it home.
D.Carter had 5 toy cars. He gave Jamison 4 of them.
Answer:
it would be a and c
Step-by-step explanation: Because if you had a zero on a number line you would subtract 5 from the left and that would give you negative 5
Find the radius of a sphere with a volume of 26,244π cubic inches.
Radius of a sphere with a volume of 26,244π inches³ is 27 inches.
Volume of a sphere, V = (4/3)πr³.
Given the volume of 26,244π inches³,
(4/3)πr³ = 26,244π
The radius of sphere (r) =
r³ = (26,244π)/(4/3)π
r³ = 26,244 × (3/4)
r³ = 19,683
r = ∛19,683
r = 27 inches
The radius of the sphere is 27 inches.
The formula for the volume (V) of a sphere with radius (r) is given by:
[tex]\[ V = \frac{4}{3} \pi r^3 \]Given that the volume (\( V \)) of the sphere is \( 26,244\pi \) cubic inches, we can set up the equation:\[ 26,244\pi = \frac{4}{3} \pi r^3 \]To solve for \( r \), we first divide both sides by \( \frac{4}{3} \pi \):\[ r^3 = \frac{26,244\pi \times \frac{3}{4}}{\pi} \]\[ r^3 = 19,683 \][/tex]
Taking the cube root of both sides:
[tex]\[ r = \sqrt[3]{19,683} \]\[ r \approx 27 \][/tex]
Therefore, the radius of the sphere is 27 inches.
Help now plsssssssssssssssssssssssssssssssssssssss
Answer:
I think its A
Step-by-step explanation:
Is it A, B, C, or D, please answer.
Answer:
B
Step-by-step explanation:
All of the angles have to add up to 180
Hope this helped
:)
Answer:
the answer is B
Step-by-step explanation:
you have to have all of the angles add up to B, that is part of it.
I need an answer asap please
the sum of two numbers increased by 5
Answer:
If the sum is x, x+5
Step-by-step explanation:
The sum of the two numbers x+y = a, increased by 5, a+5.
The sum of two numbers increased by 5 to be determined.
What is the sum?The sum is defined as the addition of two or more values.
Here,
Let the two numbers be x and y.
their sum is x+y = a(let)
Now the sum is increased by 5.
=a+5
Thus, the sum of the two numbers x+y = a, increased by 5, a+5.
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Please help me out I know that supplimentary angles have to equal 180 but I have no idea how to solve for x since they didnt give us any angles
Answer:
x = 6
Step-by-step explanation:
13x + 2 = 12x + 8
Because of:
1) Corresponding angles
2) Vertically opposite angles
13x + 2 = 12x + 8
13x - 12x = 8 - 2
x = 6
Answer:
x = 6
Step-by-step explanation:
13x + 2 = 12x + 8
13x - 12x = 8 - 2
x = 6