Write a division expression that could also be solved by using 1/2x9?
Answers
Answer:
18 divided by 4.
Step-by-step explanation:
1/2x9= 4 1/2 and when you divide 18 divided by 4 you get 4 1/2 (4.5)
Related Questions
Identify the equation for the parabola with the focus F(0,-9.5) and directrix y =9.5
Answers
Considering the given focus and directrix, the equation of the parabola is given by:
\(y = -2.375x^2\)
What is the equation of a parabola?The equation of a parabola, with a directrix in y, is:
\(y - k = a(x - h)^2\)
In which:
The value of a is of 0.25C.The vertex is (h,k).The focus if (h, k+C).The directrix if y = k - C.In this problem, we have that the x-coordinate of the vertex is h = 0.
From the focus and the directrix, we have that:
k+C = -9.5
k - c = 9.5.
Hence k = 0, C = -9.5 = a = 0.25C = -2.375.
Thus the equation of the parabola is given by:
\(y = -2.375x^2\)
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Which equation could have been used to create this graph? Responses y = 6x y, = 6, x y = x + 6 y, = , x, + 6 y = 3x y, = , 3x y = x + 5 y, = , x, + 5 A coordinate graph. The horizontal axis is labeled x and ranges from 0 to 10. The vertical axis is labeled y and ranges from 0 to 30. A line connecting the points plotted at begin ordered pair 0 comma 0 end ordered pair, begin ordered pair 1 comma 6 end ordered pair, begin ordered pair 2 comma 12 end ordered pair, begin ordered pair 3 comma 18 end ordered pair, and begin ordered pair 4 comma 24 end ordered pair. Hurry Help
Answers
An equation which could have been used to create this graph is: A. y = 6x.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.From the information provided above, we have the following data points on the graph of this line:
Points on the x-axis = (1, 2).Points on the y-axis = (6, 12).At data point (1, 6), a linear equation of this line can be calculated in point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 6 = (12 - 6)/(2 - 1)(x - 1)
y - 6 = 6(x - 1)
y = 6x - 6 + 6
y = 6x.
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input178nD]+output61213ÓX
Answers
Let's assume it is a linear function of the form:
\(y=mx+b\)so:
\(undefined\)(b) The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1500 after 1 day, what is thesize of the colony after 3 days?Approximately mosquitoes(Do not round until the final answer. Then round to the nearest whole number as needed.)}.vix
Answers
Given:
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1500 after 1 day,
Required:
what is the size of the colony after 3 days?
Explanation:
We know
\(A=A_0e^{kt}\)\(\begin{gathered} Where, \\ A_0=\text{ Starting amount} \\ e=\text{ Euler's constant} \\ k=\text{ Amount of increase} \\ t=\text{ time} \end{gathered}\)Now,
\(\begin{gathered} 1500=1000e^k \\ \frac{1500}{1000}=e^k \\ 1.5=e^k \\ ln1.5=klne \\ k=0.405 \end{gathered}\)After 3 days
\(\begin{gathered} A=1000\times e^{(0.405\times3)} \\ A=1000\times e^{1.215} \\ A=1000\times3.370 \\ A=3370 \end{gathered}\)Answer:
After 3 days there will be 3370 mosquitoes.
A pair of pants cost $35. There is a 20% discount and 7% tax rate. Which expression can be used to find the final price of the pants?
Answers
Answer:
69%
Step-by-step explanation:
Answer:
14.98
Step-by-step explanation:
Step one: \(\frac{100}{20}\) = .20
Step Two: 35 * .20 = 14
Step Three (adding the 7% tax): \(\frac{100}{7}\) = .07
Step Four: 14 * .07 = .98
Step Five (last step): 14 + .98 = 14.98
Answer: 14.98
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
If the half-life of cesium-137 is 30 years, find the decay constant, r. (Round your answer to nine decimal places.)
Answers
Answer:
r = 0.023104906
Step-by-step explanation:
Given half life = T = 30 yrs.
Decay constant = r.
Using the decay constant formula:
\(r=\frac{\ln2}{T}\\r=\frac{\ln2}{30}\\r=0.023104906\)
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what are the advantages of using a bar chart over a pie chart
Answers
The advantages of bar charts over pie charts while graphing the given data are discussed below.
What are the advantages of using a bar chart over a pie chart?A bar chart or bar graph is a visual representation of categorical data that uses rectangular bars with heights or lengths proportional to the values they represent. The possibility of a bar plot, both vertical and horizontal, exists. Vertical bar graphs are also referred to as column charts.
A circular statistical image known as a pie chart uses slices to represent numerical proportions. Each slice's arc length in a pie chart varies depending on the amount it represents.
Any numbers can be chosen for the numeric value axis in a bar chart.
Pie charts can only be used if the sum of the various parts equals a meaningful whole because they are intended to illustrate how each portion contributes to the whole.
Hence bar chart is more advantageous over pie chart when more information is to be presented through charts.
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which algebraic expression will Alex want to use to determine the total amount of food (f) a dolphin will eat over a 5-year period, if x equals pounds per year?
A. F = 5 + x
B. F = 5x
C. F = 5/x
D. F = x/5
Answers
Answer:
A.) F=5+x
Step-by-step explanation:
I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .
|-13| = ?
A. 0
B. -13
C. 13
D. 26
Answers
Answer: C. 13
Step-by-step explanation:
The absolute value of anything will always be positive because absolute value means distance. Distance is never negative always positive.
What is 5 2/5×4 7/12
Answers
Answer:
85.7
Step-by-step explanation:
5x2.5=12.5
4x12/7=6.85
85.7
It's 24 3/4 or 24.75
Find an explicit description of Nul A by listing vectors that span the null space. 1 2 3 0 A = 0 0 1 0 A spanning set for Nul A is (Use a comma to separate answers as needed.)
Answers
An explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
What is the explicit description of a null space matrix?
To find an explicit description of the null space of matrix A, we can find a spanning set of vectors that span the null space.
The null space of matrix A, denoted Nul A, is the set of all vectors x that satisfy the equation Ax = 0. In other words, the null space consists of all vectors that are mapped to the zero vector by the matrix A.
To find a spanning set for Nul A, we can use the following steps:
Row reduces the matrix A to a reduced row-echelon form using elementary row operations.
Identify the free variables in the row-reduced matrix.
For each free variable, create a vector with a 1 in the position corresponding to the free variable and 0's in all other positions.
The set of vectors created in step 3 form a spanning set for Nul A.
For example, consider the matrix A = [1, 2, 3, 0; 0, 0, 1, 0]. To find a spanning set for Nul A, we can row reduce the matrix to reduced row-echelon form:
[1, 2, 3, 0] -> [1, 2, 3, 0]
[0, 0, 1, 0] -> [0, 0, 1, 0]
The matrix is already in reduced row-echelon form, so there are no more elementary row operations to perform. The free variables in this matrix are the third and fourth columns, which correspond to the variables x3 and x4, respectively. Therefore, we can create the following vectors:
x3 = [0, 0, 1, 0]
x4 = [0, 0, 0, 1]
These vectors form a spanning set for Nul A, as they are linearly independent and span the null space.
Hence, an explicit description of Nul A is given by the set of vectors {[0, 0, 1, 0], [0, 0, 0, 1]}.
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What is the equation of the line in slope intercept form?
Answers
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
Please help with number 8 step by step
Answers
Answer:
It is a function because circles are functions
Step-by-step explanation:
the formula for a circle is
\((x-h)^2+(y-k)^2=r^2\)
(h,k) = center
r=radius
radius is 4 because diameter is 8
Center is (2,1)
plug it into the equation:
\((x-2)^2+(y-1)^2=16\)
Which distance measurement is the most precise?
O A. 73 yards
O B. 57 yards
O C. 29.25 yards
O D. 77.2 yards
Answers
Answer:
C- 29.25
Step-by-step explanation:
This answer goes into the thousendths place, meaning this is the most accurate.
Based on a poll, 60% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond? The probability that at least one of them is careful about personal information is
Answers
Answer:
The probability that at least one of them is careful about personal information is 0.9744.
If the survey subjects volunteered to respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.
Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.
Step-by-step explanation:
We can model this with a random variable, with sample size n=4 and probability of success p=0.6.
The probability that k individuals are more careful about personal information when using a public Wi-Fi hotspot in the sample is:
\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{4}{k}\cdot0.6^k\cdot0.4^{4-k}\)
We have to calculate the probability that 1 or more are more careful about personal information when using a public Wi-Fi hotspot. This can be calculated as:
\(P(x\geq1)=1-P(x=0)\\\\\\P(x=0)=\dbinom{4}{0}\cdot0.6^{0}\cdot0.4^{4}=1\cdot1\cdot0.0256=0.0256\\\\\\P(x\geq1)=1-0.0256=0.9744\)
The probability that 1 or more individuals in the sample are more careful about personal information when using a public Wi-Fi hotspot is 0.9744.
Figure 10-25 shows a uniform metal plate that had been square before 25% of it was snipped off. Three lettered points are indicated. Rank them according to the rotational inertia of the plate around a perpendicular axis through them, greatest first
Answers
The rank of the points having a maximum moment of inertia is c > a > b.
The figure of 25 % snipped off square-shaped uniform metal plate.
We can rank the points according to the moment of inertia using the relation between the moment of inertia and the radius of gyration of the elements.
The formulae are as follows:
I = mh²
Where h = Radius of gyration, m is mass, and I is the moment of inertia.
Here,
I = mh²
So, the final moment of inertia will be maximum for the axis, which consists of elements having more h (which are more distant from the axis).
From this, it can be concluded that the moment of inertia about an axis through point c is maximum, followed by (a) and then (b).
Rank is c > a > b
Therefore, the points can be ranked according to the moment of inertia about the axis passing through it using its relationship with the radius of gyration.
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This topic is about to give me a brain aneurysm, please help
Answers
To convert a polar point (r, θ) to rectangular coordinates (x, y) use the formula:
\(\begin{gathered} x=r\cos\theta \\ y=r\sin\theta \end{gathered}\)Therefore,
\(x=5\cos(\frac{11\pi}{4})=-\frac{5\sqrt{2}}{2}\)\(y=5\sin(\frac{11\pi}{4})=\frac{5\sqrt{2}}{2}\)Therefore, the required rectangular coordinates is:
\((-\frac{5\sqrt{2}}{2},\frac{5\sqrt{2}}{2})\)(-5√2/2, 5√2/2)
Here are the cost of tickets at a cinema venue
Answers
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
f(n) restul impartirii lui n la 3. Sa se stabileasca daca functia f este periodica
Answers
Answer:
jajajajjajajajjajajajjajajb mucho men
Step-by-step explanation:
f
f
f
What is the Product?
Answers
The product meaning in maths is a number that we get to by multiplying two or more other numbers together.
What is Product?
In mathematics, a product is the outcome of multiplying two or more numbers together.
Let us consider the scenario. A person had to buy 4 cupcakes. Each cupcake costs $5.
To calculate the total amount he needs to pay at the checkout counter, add the cost of each cupcake 4 times (as he needs to buy 4 cupcakes).
So, the answer will be -
5 + 5 + 5 + 5 = 20
If he needed 10 cupcakes, he would have to add the cost 10 times.
This is where the concept of multiplication and product can help him.
He can find the cost as -
4 times 5 or 4 × 5,
He can skip count by 5, four times and get the answer as 20.
Therefore, product is repetition for the sum of numbers.
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Which of the numbers listed below are solutions to the equation below?
Check all that apply.
√5 =s
S
O A. -5
O B. 3
O C. -1
O D. 5
O E 3
Answers
Answer:
3
Step-by-step explanation:
I think because
\( \sqrt{5 } = 2.236\)
so by round off it should be 2 or 3
if k=6 what is the value of 7k-2
Answers
Answer:
7x6-2=40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7k -2 =
7(6) - 2
42 -2
40
You are welcome!
Kayden Kohl
8th Grade Student
Find the length of the side CD in the pentagon ABCDE.
A)
4√2 units
B)
12 units
C)
4 units
D)
4√10 units
Answers
Answer: A) 4√2 units
Step-by-step explanation:
Use the distance formula to find the distance(d) between Point D and Point C:
\(d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)
Point D = (x₁, y₁) = (4, -2)Point C = (x₂, y₂) = (8, 2)\(d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}\)
simplify the expression (show ur work)
Answers
Answer:
Step-by-step explanation:
\(\sqrt[3]{125y^9z^6}\\ \\ \sqrt[3]{5^3(y^3)^3(z^2)^3}\\ \\ 5y^3z^2\)
Answer:
\(5 {y}^{3} {z}^{2} \)
Solve f(-4) for f(x) = 7x - 4x
f(-4)= [?]
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ternational Academy of Science. All Rights Reserved.
![Solve f(-4) for f(x) = 7x - 4xf(-4)= [?]Enterternational Academy of Science. All Rights Reserved.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/4uS84Os2MuWN7IIrTPKxYiypWqmqAu5y.png)
Answers
Answer:
-12
Step-by-step explanation:
What you have to do is plug -4 into the function as a puzzle. So, replace all x with -4.
f(-4) = 7(-4) - 4(-4) = -28 + 16 = -12
f (-4) = 7x ( 1-4 ) - 4 (-4)
= -28 + 16
= -12
What is a equation example?
An equation is a mathematical statement this is made from two expressions related by an equal sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.
A declaration of the equality of mathematical expressions. An expression representing a chemical reaction by using chemical symbols. equation.
Conclusion: There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.
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Volume of Cylinders, Cones, and Spheres
1
2
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
○ 3² cm³
π
O 87 cm³
○ 64 cm³
O 167 cm³
Answers
Answer:\(\frac{32\pi }{3} cm^{3}\)
Step-by-step explanation:
Since the diameter is 4 cm, we know the radius is 2 cm since diameter = 2 x radius. The formula for a sphere's volume is \(\frac{4\pi }{3}\)×\(r^{3}\), so by plugging in 2 we get \(\frac{4\pi }{3}\)×\(2^{3}\) = \(\frac{4\pi }{3}\) x 8 = \(\frac{32}{3}\) \(\pi\) \(cm^{3}\)
if ∠1 ≅ ∠2and ∠2≅ ∠3 then ∠1≅ ∠3 is it equality or congruence
Answers
Answer:
Congruent
Step-by-step explanation:
∠1 ≅ ∠2
∠2 ≅ ∠3
∠1 ≅ ∠3
Therefore,
∠1 ≅ ∠2 ≅ ∠3
Type : AAA rule of congruency.
Note : -
" ≅ " means " congruence ".
4) Ellen deposited $2,500 into a savings account
that earns 5% interest per year. Her friend's
bank offers a 6 1/2% annual interest rate. How
much more money would Ellen's money have
earned in one year if she had deposited her
money at her friend's bank?
A) $12.50
B) $32.50
C) $16.25
D) $37.50
Answers
Answer:
c
Step-by-step explanation:
A bag contains 8 green candies and 4 red candies. You randomly select one candy at a time to eat. If you eat five candies, there are relatively prime positive integers m and n so that m n is the probability that you do not eat a
green candy after you eat a red candy. Find m + n.
Answers
If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.
A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:
GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)
GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)
GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)
GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)
Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)
so m = 1 and n = 5
m + n =6
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