PLEASE HELP 20 POINTS
How many solutions does 15x+11=8x
What is the equivalent decimal? Drag the answer into the box to match the fraction. 5/45
If the surface area of a sphere is 256π cm2, what is the radius?
4 cm
8 cm
12 cm
16 cm
The formula for surface area of the sphere is -
Surface area of sphere = 4πr²
Now, the surface area of sphere is given to us as = 256π cm²
Thus,
4πr² = 256π cm²
While equating the equations, we will get
4r² = 256 cm²
r² = 64 cm²
64 is the square of 8, thus the radius of sphere will be = 8 cm.
The correct answer will be = 8 cm radius
A wood board is one of a 6 different parts in a shelf kit. the width, depth, and height dimensions of the board are 42 inches x 8 inches x .75 inches, respectively. the board is made from southern yellow pine, which has an air dry weight density of .021 lbs/in.3. (watch the units of measure)
The members of a chorus agree to buy at least 250 tickets for and outside concert. They buy 20 fewer ow tickets that balcony tickets. What is the lowest number of balcony tickets bought
An earthquake strikes and an isolated area is without food or water. three crews arrive. one can dispense needed supplies in 4545 hours, a second in 9090 hours, and a third in 6060 hours. how long will it take all three crews working together to dispense food and water?
Ellen needs to buy 180 inches of ribbon to wrap a present. The store sells ribbon only in whole yards. How many yards does Ellen need to buy to have enough ribbion
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29, 32
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is (less than, greater than, equal to) the median for Data Set B. The mean for Data Set A is (less than, greater than, equal to) the mean for Data Set B.
Answer:
a
Step-by-step explanation:
y varies directly as x and y = 18 when x= 1/2. write an equation that relates y and x
There is a ratio of 5 girls to 3 boys in the class in the chorus.there are 24 boys in the chorus how many girls are in the chorus
It costs $5.75 to enter an arcade and $0.50 to play an arcade game. You have $7.25. Write an equation that represents the number g of games you can play.
Jamal is 167 cm tall. Which expression finds Jamal’s height in dekameters? Use the metric table to help answer the question.
Answer:
It is D
Step-by-step explanation:
40 points!!!!!!!!!!!!!! *If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?
What's the probability a number is odd given that it's an integer between 0 and 11?
In ΔPQR, what is sin Q written as a decimal?
The mass of a grain of sand is about 10^-3 gram. About how many grains of sand are in a 10kg bag of sand?
In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 40 cm tall and 90 cm wide. Find an equation of the parabola with its vertex at the origin.
Please help with geometry
A distribution of numbers has the following five-number summary:
20.2, 22.4, 30.0, 37.6, 39.8
True or False? These numbers can be used to calculate the standard deviation of the distribution.
Please Answer quickly! I need this done ASAP! Please.
The correct answer is:
False.
Explanation:
Using the five number summary, we can estimate the standard deviation.
The quartiles are about 0.67 standard deviations from the mean; this could be used to estimate the standard deviation.
However, we cannot accurately calculate the standard deviation using only the fie number summary.
The average age of the children at a campout is shown in the box plot below. Which statement is true about the box plot? The youngest age is 7. It is skewed right. More of the children were close to 12 years old than 6 years old. Half of the children were between 6 and 9 years old.
The statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.
What is a Box Plot?A box plot shows how a data is distributed, as it displays the five-number summary.
here, we have,
The five-number summary of the box plot representing the average age of children is:
Min = 6 (youngest age)
Lower quartile (Q1) = 9 (25% of the children are below 9)
Median = 10
Upper quartile = 11 (50%, which is half of the children are between 9 years and 11 years old)
Max = 12 (oldest)
Therefore, the statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.
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what is the complete factorization of the polynomial below
x^3-4x^2+x-4?
A. (x-4)(x+i)(x-1)
B. (x+4)(x+i)(x-i)
C. (x+4)(x-i)(x-i)
D. (x-4)(x-i)(x-i)
Answer:
B. (x+4)(x+i)(x-i)
Step-by-step explanation:
Let [tex]P(x)=x^3-4x^2+x-4[/tex]
We can factor this polynomial by grouping:
[tex]P(x)=x^2(x-4)+1(x-4)[/tex]
We factor further to obtain:
[tex]P(x)=(x^2+1)(x-4)[/tex]
[tex]P(x)=(x^2-\sqrt{-1}^2)(x-4)[/tex]
We apply difference of two squares to get:
[tex]P(x)=(x-i)(x+i)(x-4)[/tex]
Answer:
(x+1)(x-1)(x+4)
Step-by-step explanation:
A boy flies a kite with a 100-foot-long string. The angle of elevation of the string is 48°. Find the vertical distance between the kite and the point at which the boy is holding the string.
Using the sine function of trigonometry, the vertical distance between the kite and the point where the boy is holding the string is calculated to be approximately 74.31 feet when the string's angle of elevation is 48 degrees.
To find the vertical distance between the kite and the point at which the boy is holding the string, we can use trigonometric functions, specifically the sine function which is defined as the ratio of the opposite side to the hypotenuse in a right triangle. Since we know the length of the string, which acts as the hypotenuse of the triangle, and the angle of elevation, we can set up our equation as follows:s
sin(48°) = opposite/hypotenuse
sin(48°) = vertical distance/100 feet
W then multiply both sides by the hypotenuse (100 feet) to solve for the vertical distance:
vertical distance = 100 feet \sin(48°)
To get the numerical value, we use a calculator to find:
vertical distance ≈ 100 feet * 0.7431
vertical distance ≈ 74.31 feet
Therefore, the vertical distance between the kite and the point where the boy is holding the string is approximately 74.31 feet.
For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?
−5
12
negative 5 over 13
12 over 13
Find the number if the square root of another number that is 6 greater than this number is equal to the number itself.
Answer:
The number is 3 and the another number is 9
Step-by-step explanation:
Let
x-------> the number
y-----> another number
we know that
[tex]y=x+6[/tex] ----> equation A
[tex]\sqrt{y}=x[/tex] ----> equation B
Substitute equation A in equation B
[tex]\sqrt{x+6}=x[/tex]
squared both sides
[tex]x+6=x^{2} \\x^{2}-x-6=0[/tex]
Using a graphing tool
solve the quadratic equation
see the attached figure
The solution is x=3
Find the value of y
[tex]y=x+6[/tex] -------> [tex]y=3+6=9[/tex]
Can somone help me with this 1 problem? QRST is a parallelogram. Determine the measure of ∠Q
Q (4x+10) bottom left
R (9x+1) top left
S (5x-3) top right
T bottom left
In the parallelogram QRST then measure of ∠Q is 62 degrees.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
Given that QRST is a parallelogram.
We have to find the measure of ∠Q.
Both pairs of opposite sides are parallel, quadrilateral QRST is a parallelogram.
∠Q= ∠S
4x+10=5x-3
We have to find the value of to find ∠Q measure.
10+3=5x-4x
13=x
Now let us plug in the value of x in ∠Q measure.
∠Q = 4x+10
Now plug in x value in ∠Q
∠Q = 4(13)+10
=52+10
=62 degrees
Hence, in the parallelogram QRST then measure of ∠Q is 62 degrees.
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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 5 + 4 cos θ
Explaining how to determine the symmetry of a polar graph based on the given equation r = 5 + 4 cos θ.
To determine the symmetry of the graph r = 5 + 4 cos θ, we can substitute (-θ) for θ in the equation and check if the resulting polar equation remains the same, indicating symmetry about the origin.
If replacing (-θ) gives us the same equation, the graph is symmetric about the y-axis. If replacing (π - θ) gives the same equation, then the graph is symmetric about the x-axis.
In this case, replacing (-θ) in r = 5 + 4 cos θ gives r = 5 + 4 cos(-θ), which simplifies to r = 5 + 4 cos θ, indicating symmetry about the y-axis.
Sina played basketball on a rectangular court that was 74 feet by 42 feet. after the game, she walked across the court diagonally from one corner to the opposite corner. approximately what distance did sina walk in feet?
Distance walked = 85.088 feet
The distance Sina walked would be equal to the length of the diagonal of rectangle.
As every angle in a rectangle is 90 degree. So, we can apply Pythagoras theorem in right triangle formed by sides,
Base- 74 feet, Altitude- 42 feet and Hypotenuse- Diagonal
Base^2 + Altitude ^ 2 = Hypotenuse ^2
74^2 + 42 ^ 2 = Diagonal ^2
On solving,
Diagonal = 85.088 feet
To calculate the distance Sina walked diagonally across the basketball court, we utilize the Pythagorean theorem using the court's length and width. The calculation gives us a diagonal distance of approximately 85 feet.
To calculate the distance Sina walked across the rectangular basketball court diagonally, we can use the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Since the court is 74 feet long and 42 feet wide, these dimensions can be considered the two shorter sides of a right triangle, with the diagonal Sina walked being the hypotenuse.
The Pythagorean theorem formula is:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides. Substituting the known values:
[tex]c^2 = 742 + 422\\c^2 = 5476 + 1764\\c^2 = 7240[/tex]
To find c, we take the square root of 7240:
c ≈ 85.09 feet
Therefore, Sina walked approximately 85 feet diagonally across the basketball court.
Please help!!! Mark is learning to snowboard. The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard rental. Which value represents the rate of change for this scenario?
Calculate the length of AC to one decimal?