Answer:
328
Step-by-step explanation:
(4x − 16)^½ = 36
Square both sides:
4x − 16 = 36²
4x − 16 = 1296
Solve for x:
4x = 1312
x = 328
Answer X=328
Step-by-step explanation:
6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?
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The volume of the given solid prism is: 3 × 3 × 5 = 45 units³
What is the Volume of a Solid prism?The volume of any solid prism = base area of prism × height of the prism.
Given the following dimensions of the solid prism:
Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²Volume of the solid prism = 9 × 5 = 45 units³
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A frequency generator sends a 550 Hz sound wave through both water and ice. A 3 column by 4 row table. Column 1 is titled Medium and includes the following entries: Ice, Water, Steam. Column 2 is titled Temperature (degrees Celsius) and includes the following entries: 0, 25, 100. Column 3 is titled Speed of Sound (meters per second) and includes the following entries: 3200 meters per second, 1500 meters per second, 346 meters per second. What is the difference in wavelength between the wave produced in ice and the wave produced in water? 2. 1 m 3. 1 m 5. 2 m 8. 5 m.
The difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m. Then the correct option is B.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
A frequency generator sends a 550 Hz sound wave through both water and ice.
The wavelength is given as
[tex]\lambda = \dfrac{v}{f}[/tex]
f = frequency
v = velocity
Then the wavelength in the water will be
[tex]\rm \lambda _w = \dfrac{1500}{550}\\\\\lambda _w = 2.73[/tex]
The wavelength in the ice will be
[tex]\rm \lambda _I = \dfrac{3200}{550}\\\\\lambda _I = 5.82[/tex]
Then the difference in wavelength between the wave produced in ice and the wave produced in water will be
[tex]\rightarrow \lambda _I - \lambda_w \\\\\rightarrow 5.82 - 2.73 \\\\\rightarrow 3.09 \approx 3.1[/tex]
Thus, the difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m.
More about the wavelength link is given below.
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Answer:
3.1
Step-by-step explanation:
B
a company’s profit of 18000 is shared by 2 directors and 24 employees 1-3 of the profit is shared equally by 2 directors of the company
Using proportions, it is found that:
Each director gets 6000.Each employee gets 500.What is a proportion?A proportion is a fraction of a total amount.
In this problem, the directors share one-third of the profit, hence:
18000/3 = 6000
6000/2 = 3000.
That is, each director gets 6000.
The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:
12000/24 = 500
Each employee gets 500.
More can be learned about proportions at https://brainly.com/question/24372153
Find the next three terms of the sequence 2000 ,200, 20 … and write the term to term rule.
Answer:
2 is the next number in the sequence
Step-by-step explanation:
in this pattern, you go down by one decimal spot ( zero)
this is a geometric sequence since there is a common ratio between each term.
i need helppppppppppppppppppppppppppppppppppppppp
What are the zeros of this function?
A. x=0 and x=6
B. x=0 and x= -9
C. x=0 and x= -6
D. x=3 and x= -9
Answer:
A
Step-by-step explanation:
The zeros are the roots or x-intercepts
They are located at coordinate points (0, 0) and (6, 0)
This means the answer is A
Hope it makes sense!
Answer:
A. x = 0 and x = 6
Step-by-step explanation:
So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.
So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).
The x-values of these are 0 and 6, respectively.
How many times greater is the value of 4 in 547 than the value of the 4 and 84
Answer:
10
Step-by-step explanation:
How many times greater is the value of 4 in 547 than the value of the 4 and 84?
547: 500 + 40 + 7
5 is in the hundreds place
4 is in the tens place
7 is in the ones place
84: 80 + 4
8 is in the tens place
4 is in the ones place
The value of 4 in 547 is 10 times greater than the value of 4 in 84.
Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.
Also, 4 * 10 = 40
Hope this helps!
6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.
Answer:
18pi
Step-by-step explanation:
Circumference = 2 Pi R
c = 2 x 9 x Pi
c = 18Pi
Kim works at an airport on the runway. She is standing and watching an airplane take off from the runway as shown below.
When the airplane is 1,100 feet above the ground, the distance to the airplane from where Kim is standing is 3,850 feet. What is the approximate angle of elevation to the airplane?
Find the surface area of the solid figure
Answer:
150
Step-by-step explanation:
area of your base (bh/2) 3x8/2 = 12
2 bases = 24
3 faces ---- Face1 - 7x5= 35 ------Face2 - 7x5 = 35 ------Face3 - 8x7 = 56
24 + 35 + 35 + 56 = 150
On Thursday the cows at the Putnam Dairy produced 70 bottles of milk. Friday, the cows produced 5/8 as much milk as on Thursday. How many bottles of milk did the cows produce on Friday?
Answer the questions about the following polynomial. 1- x³/8
the expression represents a quadratic polynomial with 2 terms.The constant term is 1, the leading tern is x and the leading coefficient is 1
HELP ME PLEASE
I HATE THE BOTS
How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8
Answer:
16
Step-by-step explanation:
Evaluate the two in order to compare them.
2^10=2*2*2*2*2*2*2*2*2*2=1024
2^6=2*2*2*2*2*2=64
The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16
The answer is 16! Hope this helps ^^
EASY GIVING BRAINLIEST JUST GRAPH TO FIND ANSWER While warming up for a game, two basketball players shoot balls in parabolic paths. The path of the first player's ball can be represented by the function g(x) = –2x2 + 13x + 7, where x represents the distance from the coach. The path of the second player's ball can be represented by the function h(x) = –x2 + 4x + 21.
Part A: Find the distances in which the two basketball paths will cross. Show all necessary calculations.
Answer:
2 ft, 7 ft
Step-by-step explanation:
We are interested in the values of x such that g(x) = h(x). These will be solutions of the difference g(x) -h(x) = 0. Hence the x-intercepts of a graph of g(x) -h(x) will be solutions to the problem.
__
The graph shows the difference between the paths will be zero at distances of 2 feet and 7 feet.
A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.
The solution to the problem is correct and the correct option from the given options is B.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The given logarithmic problem can be solved in the following manner, therefore,
[tex]\rm log_210\ log_48\ log_{10}4\\\\[/tex]
Using the logarithmic properties, we can write,
[tex]=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\[/tex]
Now cancelling out the values we will get,
[tex]=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3[/tex]
Thus, the solution to the problem is correct and the correct option from the given options is B.
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Answer:
B
Step-by-step explanation:
on edge
If the value 0.125 is rewritten as X%, what is the value of ?
Answer:
12.5%
Step-by-step explanation:
0.25 * 100
= 12.5%
Help with any questions
1.) right triangle, as it has a right angle
2.) scalene triangle no equal sides
hope this helps
Approximately how many grams of radium will remain after 4 grams have decayed for 2400 years
Answer:
1.4
Step-by-step explanation:
Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.
The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]
Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]
It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3
This was very messy, I apologize if I did make any mistakes.
A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?
The total surface area of the triangular prism that has a height of h and the side length of a is given below.
[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A box is in the shape of an equilateral triangular prism.
If the box is to be covered with paper on its lateral sides.
Let a be the side length of the equilateral triangle and h be the height of the prism.
Then the surface area of the triangular prism will be
Surface area = 2 × area of triangle + 3 × area of the rectangle
The area of the triangle will be
[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]
The area of the rectangle will be
[tex]\rm Area \ of \ rectangle = a \ h[/tex]
Then the total surface area will be
[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
More about the triangular prism link is given below.
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Answer:
72 square inches
Step-by-step explanation:
The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
How to determine the total revenue?The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
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The terminal side of an angle measuring StartFraction pi Over 6 EndFraction radians intersects the unit circle at what point?.
Thee intersection point of the terminal side which measure the angle pi/6 radians is (0.886, 0.5).
What is the meaning of a circle?A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.
The distance from the center to the circumference is called the radius of the circle.
Given that the terminal side of an angle measuring π/6 radians.
The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by
x = r cos∅ and y = r sin∅
Let the r be unity.
Then, x will be
[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]
The variable y will be
[tex]y=sin\frac{\pi }{6}[/tex]
y=0.5
Thus, the intersection point is (0.886, 0.5).
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11. What is the solution of this equation
3(2-x)=-(4+3x)
A
-
5
3
В.
5
3
C 2
D. The equation has no solution.
Answer:
D I think
Step-by-step explanation:
if you do the multiplying you get 6-3x= -4 + (-3x) and then the -3x would cross out leaving 6=-4 which isnt true so D
Answer D
it is 6-3x = -4 -3x then when you add 3 x to both sides so you can move the variables to either side it cancels out on both sides so 6 = -4 meaning there is no solution
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I need help with these questions! Please help me. The choices are all true/false.
Please help me!!!!!!
Please provide in depth explanation too!!
Answer in order:
False
True
False
False
False
False
False
True
True
Step-by-step explanation:
All of the solutions to the equation[tex]3x^2 - 12 = 0[/tex]are x = 12 and x = -12
Solve:
Common factor - [tex]3(x^2-4)=0[/tex]
Divide both sides
[tex]x^2-4=0[/tex]
Use the quadratic formula
[tex]x=\sqrt{4,x}=\sqrt{-4[/tex]
x = 2, x = -2
Thus, This is false..
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There are two unique solutions to the equations (x-3)^2 = 16
one variable in matrix = one possible value.
Therefore, x = 7, x = -1
Hence this is True
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The solutions for the equation 2(x-3)^2-18 = 0 are x = 6 and x = 0
[tex]2x^3-18x^2+54x-72=0[/tex]
[tex]x=5.080084[/tex]
Hence this is false
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The solutions for the equation 2(x-5)^2-8=0 are x = 7 and x = -7
Add both sides by 8
2(x-5)^2-8+8=0+8
2(x-5)^2=8
(x-5)^2=4
x = 7, x = 3
Hence, this is false
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The solutions for the equation (x + 3)^2-25 = -8 are x = 2 and x = -8
[tex](x+3)^2=17[/tex]
[tex]x=\sqrt{17-3,}=-\sqrt{17}-3[/tex]
Hence this is false.
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The solutions for the equation 2(2x-1)^2=18 are x = 5 and x = -4
[tex](2x-1)^2=9[/tex]
x=2, x = -1
Hence this is false.
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The only solution for equation (2x-1)^2-49=0 is x = 4
[tex](2x-1)^2=49[/tex]
x = 4, x = -3
Hence, this is false
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The solutions for the equation 3(x+2)^2 - 3 = 0 are x = -3 and x = -1
[tex]3(x+2)^2=3[/tex]
[tex](x+2)^2=1[/tex]
x = -1, x = -3
Hence, this is true
-------------------------------------------------------------------------------------------------------------
The solutions for the equation 5x^2 - 180 = 0 are x = 6 and x = -6
Add 180 to both sides
[tex]5x^2-180+180=0+180[/tex]
[tex]5x^2 = 180[/tex]
[tex]x^2 = 36[/tex]
[tex]x=\sqrt{36},x=-\sqrt{36}[/tex]
x = 6, x = -6
Hence, this is true.
-------------------------------------------------------------------------------------------------------------
[RevyBreeze]
i need help with this
Answer:
A tangent to a circle is a straight line which touches the circle at only one point. Therefore, if [tex]x=2y+5[/tex] is a tangent of [tex]x^2+y^2=5[/tex] then there will be one point of intersection.
To find the point of intersection, substitute [tex]x=2y+5[/tex] into [tex]x^2+y^2=5[/tex] and solve for y:
[tex]\implies (2y+5)^2+y^2=5[/tex]
[tex]\implies 4y^2+20y+25+y^2=5[/tex]
[tex]\implies 5y^2+20y+20=0[/tex]
[tex]\implies y^2+4y+4=0[/tex]
[tex]\implies (y+2)^2=0[/tex]
[tex]\implies y+2=0[/tex]
[tex]\implies y=-2[/tex]
Substitute found value of y into [tex]x=2y+5[/tex] and solve for x:
[tex]\implies x=2(-2)+5=1[/tex]
Therefore, there is one point of intersection at (1, -2), thus proving that the straight line equation is a tangent to the circle.
The left and right y-axes are in opposite directions because:.
Evaluate each expression using the order of operations
A:-4(-4+3)+2²
B:-3-3-3(-3)
C:-17+2(-2)(-2)
D:-(+2(-3)(5)(3+2)(-6)
Answer:
[A} 8
[B] 3
[C] -9
[D] - 900
Step-by-step explanation:
A:-4(-4+3)+2²
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-4\left(-1\right)+2^2[/tex]
[tex]-4\left(-1\right)+4[/tex]
[tex]4+4[/tex]
8
-------------------------------------------------------------------------------------------------------------
B:-3-3-3(-3)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
[tex]-3-3-\left(-9\right)[/tex]
3
-------------------------------------------------------------------------------------------------------------
C:-17+2(-2)(-2)
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]-17-\left(-8\right)[/tex]
-9
-------------------------------------------------------------------------------------------------------------
D:-(+2(-3)(5)(3+2)(-6)
[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]
-900
-------------------------------------------------------------------------------------------------------------
[RevyBreeze]
The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
3.1%
Step-by-step explanation:
2.20/2.35 = 3.1%
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Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.
Answer:
mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
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help please
on the image.
Answer:
the women won 1 fewer matches than the men
Step-by-step explanation:
In a pie chart, the fraction of the total that is represented by any sector is the ratio of the angle subtended by that sector to 360°.
__
For the men's team, the winning games represent 150°/360° = 5/12 of all games played. The men played 24 games, so they won ...
5/12 × 24 = 10 . . . . games won
__
For the women's team, the winning games represent 180°/360° = 1/2 of all games played. The women played 18 games, so they won ...
1/2 × 18 = 9 . . . . games won
The number of matches won by the men is larger than the number of matches won by the women. (Yes, the women won a larger fraction of their matches played, but not a larger number.)