Sphere with a diameter of 6 inches
Answers
Related Questions
andrea rents a bike for 8 hours and pays $42 for the rental tomorrow she wants the same bike but only needs it for 6 hours what equation can she use to figure out how much she will need to pay
Answers
Answer:
8x=42 where x is hourly cost
so x = 21/4
6*x = 63/2 $
Step-by-step explanation:
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The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?
A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
Answers
Based on the definition of parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
What are the Properties of a Parallelogram?If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.
If two sides of a shape have the same slopes, it then means the shape is a parallelogram.
The quadrilateral that is given is said to have the following:
Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.
Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
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The following figure is made of a triangle and a rectangle. All of the sides of the triangle are the same length. 5 cm 23 cm What is the perimeter of the figure?
Answers
The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.
What is the perimeter of the geometry?The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.
The accompanying figure is made of a triangle and a rectangle shape. The sides of the triangle are all a similar length and the aspect of the rectangle shape is 5 cm by 23 cm.
The summation of the outer length of the shape is known as the perimeter. Then we have
P = 23 + 5 + 23 + 5 + 5
P = 61 cm
The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.
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please help me solve
Answers
The equation for the line of best fit is: C. y = 0.894x + 0.535.
How to determine the equation for the line of best fit?In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;
x y x² y² xy__
5 4 25 16 20
6 6 36 36 36
9 9 81 81 81
10 11 100 121 110
14 12 196 144 168
Sum 438 398 415
Next, we would calculate the mean of the x and y variables as follows;
Mean = [∑(x)]/n
Mean = 44/5
Mean, \(\bar{x}\) = 8.8
Mean = [∑(y)]/n
Mean = 42/5
Mean, \(\bar{y}\) = 8.4
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)
∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4
∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²
∑(x - \(\bar{x}\))² = 50.8
Now, we can determine the slope coefficient for the line of best fit:
Slope (b) = 45.4/50.8
Slope (b) = 0.894.
Lastly, we would determine the intercept (a) as follows;
\(a = \bar{y} - b\bar{x}\)
a = 8.4 - (0.894)8.8
a = 0.535
Therefore, the required equation is y = 0.894x + 0.535.
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What is the solution set for 7x − 3 =18, given the replacement set {0, 1, 2, 3, 4}?
x = 0
x = 1
x = 2
x = 3
x = 4
Answers
Answer:
x = 3
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−3=18
Step 1: Add 3 to both sides.
7x−3+3=18+3
7x=21
Step 2: Divide both sides by 7.
7x/7 = 21/7
x=3
Evaluate the determinant
Answers
The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate of 4% per day. Find the mass of the sample after five days if there were 354 grams of the substance present at the beginning of the study. Do not round any intermediate computations and round your answer to the nearest tenth
Answers
Answer:
708
Step-by-step explanation:
trust me
4/8 of Kelly's beads are red and 1/8 are white ,and the rest are blue. What fraction of Kelly’s beads are blue?
Answers
1-5/8 is 3/8 or 0.375
Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 3, −2 is the only other zero, leading coefficient is 2.
Answers
Answer:
\(\Large \boxed{\sf \bf \ \ 2(x-4)^3(x+2)^2 \ \ }\)
Step-by-step explanation:
Hello, please consider the following.
Construct a polynomial function with the following properties...
... fifth degree
It means that the polynomial can be written as below.
\(a_5x^5+a_4x^4+a_3x^3+a_2x^2+a_1x+a_0 \ \text{ with }a_5\text{ different from 0}\\\\\text{ or } k(x-x_1)(x-x_2)(x-x_3)(x-x_4)(x-x_5) \\\\ \text{ with k different from 0 and } (x_i)_{1\leqi\leq 5 } \text { are the roots.}\)
... 4 is a zero of multiplicity 3
We can write the polynomial as below.
\(k(x-4)(x-4)(x-4)(x-x_4)(x-x_5)=k(x-4)^3(x-x_4)(x-x_5)\)
... −2 is the only other zero
Because this is the only other zero, we can deduce that -2 is a zero of multiplicity 2.
\(k(x-4)(x-4)(x-4)(x-x_4)(x-x_5)\\\\=k(x-4)^3(x-(-2))(x-(-2))\\\\=k(x-4)^3(x+2)^2\)
... leading coefficient is 2.
Finally, it means that k = 2 and then the polynomial function is:
\(\large \boxed{2(x-4)^3(x+2)^2}\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Answers
verified
Verified by Toppr
Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
1−3
,
2
6−9
)≡(−2,
2
−3
)
∴ equation of AD:(y−y
1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=
⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0
HELP PLEASE FAST!! Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number if necessary.
Answers
Answer:
26
Step-by-step explanation:
One leg measures 7.
One leg measures 8.
a² + b² = c²
7² + 8² = c²
c² = √113 = 10.630 = 11
perimeter = 7 + 8 + 11
perimeter = 26
If a hypothesis is not rejected at a 5% level of significance, it _____.
a. will also not be rejected at the 1% level
b. may be rejected or not rejected at the 1% level
c. will always be rejected at the 1% level
d. will sometimes be rejected at the 1% level
Answers
Answer:
a. will also not be rejected at the 1% level.
Step-by-step explanation:
A hypothesis is rejected if:
The p-value is larger than the significance level.
Hypothesis is not rejected at a 5% level of significance
This means that the p-value is > 0.05.
At the 1% level:
p-value > 0.01, so it will never be rejected, and thus, the correct answer is given by option a.
Assume that when human resource managers are randomly selected, 42% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 2 of them say job applicants should follow up within two weeks.
Answers
The probability of getting exactly k successes out of n trials is given by the binomial probability formula:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the number of ways to choose k successes out of n trials, p is the success probability, and (1-p) is the failure probability.
To find the probability of at least 2 successes out of 5 trials, we need to sum the probabilities of getting 2, 3, 4, or 5 successes:
P(at least 2) = P(2) + P(3) + P(4) + P(5)
P(2) = (5 choose 2) * 0.42^2 * 0.58^3 = 0.3249
P(3) = (5 choose 3) * 0.42^3 * 0.58^2 = 0.1645
P(4) = (5 choose 4) * 0.42^4 * 0.58^1 = 0.0419
P(5) = (5 choose 5) * 0.42^5 * 0.58^0 = 0.0053
P(at least 2) = 0.3249 + 0.1645 + 0.0419 + 0.0053 = 0.5366
Therefore, the probability that at least 2 out of 5 human resource managers say job applicants should follow up within two weeks is approximately 0.5366.
A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)
Answers
9514 1404 393
Answer:
93.84
Step-by-step explanation:
The exponential function will be of the form ...
q = a×b^t
where 'a' is the initial quantity and b is the growth factor per time period t.
If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...
q = 140×(1 -4%)^t
q = 140×0.96^t
98 years is 9.8 decades, so the quantity q remaining will be ...
q = 140×0.96^9.8 ≈ 93.84
The quantity remaining will be 93.84 after 98 years.
Answer:
94.6
Step-by-step explanation:
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
Answers
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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during a month with 30 days, a baseball team plays at least one game a day, but no more than 45 games. show that there must be a period of some number of consecutive days during which the team must play exactly 14 games
Answers
The period of some number of consecutive days during which the team must play exactly 14 games should be that 2 games plays at these days 1,5,10,15,20,25,30 individually....
As there are 30 days in a month.
So we have to arrange these 14 games during this time period of 30 days,
Which will be arranged as:
suppose its 1 st month of 2023,
So,
2 games at day = 1/1/2023
2 games at day = 5/1/2023
2 games at day = 10/1/2023
2 games at day = 15/1/2023
2 games at day = 20/1/2023
2 games at day = 25/1/2023
2 games at day = 30/1/2023
So from here we conduct:
2+2+2+2+2+2+2= 14 games
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A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answers
Answer: 400
Step-by-step explanation:
Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answers
Answer:
Step-by-step explanation:
Expected value of the bet =
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) =(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
Help
Don’t use for points or will take it back
Answers
Answer:
X is 160 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Answer:
X=160° because straight line =180
180°-20
160°
How many solutions does this equation have? 10p = -6 + 9p
Answers
Subtract 9p to both sides:
p = -6
One solution.
Solve for x.
(x - 2)² = 2
Answers
The value of x is 4 and 0
What is basic algebra ?Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.
Given that : \((x-2)^{2} = 2\)
\((x-2)^{2} = 2\)
(x-2)=±2
x= 4
x=0
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The area of the triangle is 45.5 square units and the height of the triangle is given. What is the measurement of the base?
Answers
For the triangle which is mentioned above the measurement of the base will be 10 cm.
What is a Triangle?
With three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.
The area of a triangle is A=1/2b*h
Here, A is the area of triangle =45.5 square units
b will be the base(NEED TO FIND)
h will be the height = 9.1cm
Substituting, 45.5 = (1/2)×b×9.1
b= (45.5×2)/9.1
b= 10 cms
The base value will be: 10cms
The Complete Question: The area of the triangle is 45.5 square units and the height of the triangle is given as 9.1 cm. What is the measurement of the base?
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What is the slope of the line x
=-1?
Answers
Answer:
Undefined
Step-by-step explanation:
Given the following formula, solve for a
I WILL GIVE BRAINLIST!!
Answers
Answer:
a=2s-b-c
Step-by-step explanation:
2s=a+b+c
a=2s-b-c
Answer:
2s-c-b =a
Step-by-step explanation:
s = ( a+b+c)/2
Multiply each side by 2
2s = ( a+b+c)/2 *2
2s = a+b+c
Subtract c from each side
2s -c = a+b+c-c
2s -c = a+b
Subtract b from each side
2s-c-b = a+b-b
2s-c-b =a
These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
Answers
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____
Answers
I need this both question
Answers
A 100k
B 200k
C 300k
D 400k
The picture above shows 4 glass jars, all with the same number of gas molecules but at different temperatures.
Which of the jars would experience the greatest pressure?
O Jar A
O Jar B
O Jar C
O Jar D
Answers
Answer: The jar that would experience the greatest pressure is Jar D.
This is because the pressure of a gas is directly proportional to its temperature (according to the ideal gas law). Since all four jars have the same number of gas molecules, the jar with the highest temperature (Jar D) would have the greatest pressure.
Step-by-step explanation:
the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x
Answers
Answer:
L = 3x cm
Step-by-step explanation:
For this problem, let's consider the relation that is stated:
Length is 3 times as much as the width. The width is x cm.
Mathematically we can say the following:
L = 3W
W = x cm
So we can say the following about the length:
L = 3W
L = 3(x cm)
L = 3x cm
Cheers.
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answers
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6