Answer:
18/5
Step-by-step explanation:
3(6)=5x
18=5x
x=18/5
how many hundred billions in the number 432,845,979,484
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
answer the following please answer! i'll mark brainliest!
Answer:
0.2x+1???
Step-by-step explanation:
2x/3x+1=-3
-3=2x/3x+1
-3 x 3x + 1
-9x + 1
2x/-9x+1
0.2x+1
Gieo 120 hạt giống của một loại cây thấy có 15 hạt nảy mầm. Với độ tin cậy 95% hãy tìm ước lượng khoảng cho tỷ lệ nảy mầm của loại hạt giống đó.
Mn giúp mình với ạ
Answer:
sorry can't understand the language
how can I show my work for 37x4??
Answer:
37x4
4x30=120
4x7=28
120+28=148
this is how i show my work. it has never failed me
Step-by-step explanation:
37×4
4×30
4×7=28
120+28=148
I need help converting 3/5 into a decimal
Answer:
0.6
Step-by-step explanation:
3 divided by 5
What is the slope,m=
Answer:
i belive the awnser to this is m= –4
Answer:
Slope m = -4
Step-by-step explanation:
In order to solve this problem, we need to use \(\frac{y2-y1}{x2-x1}\). After plugging in we get \(\frac{2-6}{9-8}\). 2 - 6 = -4 and 9 - 8 = 1. Because we don't need to write the 1 when it is in the denominator, the answer is just -4.
The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
C. Explain how the y-intercept and the slope of the function in part A differs from the y-intercept and the
slope of the function in part B. Be sure to indicate what each represents in your explanation.
Answer: The y-intercept for part A is 2 and for part B is -5 and the slope for part A is 3 and for part B is 2. ✅
Step-by-step explanation:
PLEASEEEE GIVE BRANLIEST
The y-intercept is a point on the graph where the line of the function crosses the y-axis. It is represented by the number that is next to the y in the equation of a line (y = mx + b).
The slope is the steepness of the line and it is represented by the number that is next to the x (y = mx + b).
In part A, the y-intercept is 2 and the slope is 3. This means that the line starts at the point (0,2) and for every 1 unit on the x-axis, it goes up 3 units on the y-axis.
In part B, the y-intercept is -5 and the slope is 2. This means that the line starts at the point (0,-5) and for every 1 unit on the x-axis, it goes up 2 units on the y-axis.
So the difference between part A and part B is that the y-intercept for part A is 2 and for part B is -5 and the slope for part A is 3 and for part B is 2. This means that the line in part A starts at a different point and is steeper than the line in part B.
Answer:
In the context of a linear function, the y-intercept is the point where the line crosses the y-axis and the slope is the rate at which the line increases or decreases as the x-value increases. If two functions have different y-intercepts, it means that they have different starting points on the y-axis. Similarly, if two functions have different slopes, it means that they have a different rate of change. So, in part A and part B, if the y-intercept and the slope of the function in part A are different from the y-intercept and the slope of the function in part B, it means that the two functions have a different starting point on the y-axis and a different rate of change respectively.
Step-by-step explanation:
In the context of a linear function, a line can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b. For example, if the equation of the line is y = 2x + 3, the y-intercept is (0,3).
The slope of the line is the rate at which the line increases or decreases as the x-value increases. It is represented by the value of m in the equation y = mx + b. For example, if the equation of the line is y = 2x + 3, the slope is 2.
If the y-intercept and the slope of the function in part A are different from the y-intercept and the slope of the function in part B, it means that the two functions have different starting points on the y-axis and a different rate of change respectively.
For example, if the equation of the function in part A is y = 2x + 3, the y-intercept is (0,3) and the slope is 2. And if the equation of the function in part B is y = 4x + 1, the y-intercept is (0,1) and the slope is 4. Therefore, the y-intercept and slope of part A are different from the y-intercept and slope of part B.
Find the value of k, if x + 2 is a factor of 5x³ + 4x² – 3x + 2k + 1
Answer:
7.5
Step-by-step explanation:
if x+2 is the factor
suppose the equation to be f(x)
then f(-2) =0
A store sells a 114 pound package of turkey for $9.
What is the unit price of the turkey in the package?
Answer:
Each pound of turkey in the package cost 7.20 dollars.
Step-by-step explanation:
If you wanted a explanation then comment
Answer:
$7.20
Step-by-step explanation:
The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!
-2x + 8 > 22
im a little stuck help
Answer:
Step-by-step explanation: am sorry but I don’t know nothing
Suppose a normal distribution has a mean of 62 and a standard deviation of 4. What is the probability that a data value is between 56 and 64? Round your answer to the nearest tenth of a percent. OA. 64.5% B. 63.5% O c. 62.5% O D. 61.5%
Answer:Given a normal distribution with μ = 62 and σ = 4., calculate the 68-95-99.7 rule, or three-sigma rule, or empirical rule ranges
Calculate Range 1:
Range 1, or the 68% range, states that 68% of the normal distribution values lie within 1 standard deviation of the mean
68% of values are within μ ± σ
μ ± σ = 62 ± 4.
62 - 4. <= 68% of values <= 62 + 4.
58 <= 68% of values <= 66
Calculate Range 2:
Range 2, or the 95% range, states that 95% of the normal distribution values lie within 2 standard deviations of the mean
95% of values are within μ ± 2σ
μ ± 2σ = 62 ± 2(4.)
62 - 2 x 4. <= 95% of values <= 62 + 2 x 4.
62 - 8 <= 95% of values <= 62 + 8
54 <= 95% of values <= 70
Calculate Range 3:
Range 3, or the 99.7% range, states that 99.7% (virtually ALL) of the normal distribution values lie within 3 standard deviations of the mean
99.7% of values are within μ ± 3σ
μ ± 3σ = 62 ± 3(4.)
62 - 3 x 4. <= 99.7% of values <= 62 + 3 x 4.
62 - 12 <= 99.7% of values <= 62 + 12
50 <= 99.7% of values <= 74
Step-by-step explanation:
The probability that a data value is between 56 and 64 is,
= 64.7%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that :
Mean (m) = 62
Standard deviation (s) = 4
Hence, Probability that a data value is between 56 and 64
P(56 < x < 64)
Using the relation :
(x - m) / s
P(x < 56) : (56 - 62) / 4
= - 1.5
P(Z < - 1.5) = 0.10565
( Z probability calculator)
P(x < 64) :
(64 - 62) / 4 = 0.75
P(Z < 0.75) = 0.77337 (Z probability calculator)
Hence, We get;
P(Z < 0.75) - P(Z < - 1.25)
0.77337 - 0.10565
= 0.64772
= 64.7%
Thus, the probability that a data value is between 56 and 64 is,
= 64.7%
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The graph of the function B is shown below. If B(x) = -1, then what is x? -1 1 2 NEXT QUESTION
Answer:
x is -1/b yw
Step-by-step explanation:
What decimal is equivalent to 10/3?
Answer:
3.33333333 . . .
Step-by-step explanation:
Answer:
3.33333333
Step-by-step explanation:
Its a forever number, i forgot the term i think its called a terminal number, or nonterminal i forget. You divide 10 / 3 and get 3.33333333333333333333 forever
3x + 2(x - 6) + 17 = -10
Solve the following equation for x
Answer:
x= -3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
3x + 2(x - 6) + 17 = -10
simplify
3x + 2x - 12 + 17 = -10
add like terms
5x + 5 = -10
subtract 5 from both sides
5x = -15
both sides divide by 5
x = -3
Helpp please I don’t understand :(
Answer:
s = 2 1/3 + 1/2
t = 2/3 + 3/2
We have to find the sum of both s and t.
2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6
2/3 + 3/2 = 4/6 + 9/6 = 13/6 = 2 1/6
If we look at the number lines, we can see that c matches with both points.
Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range.
f(x) =x^2 +12x+6
What is the vertex?
What are the x-intercepts?
What is the y-intercept?
what is the axis of symmetry?
Identify the function's domain
Identify the function's range.
The Vertex is : (-6, -30)
The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)
The Y-intercept is : (0, 6)
The Axis of symmetry is : x = -6
The functions Domain: is All real numbers
The Range is : All real numbers greater than or equal to -30.
To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.
To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)
In this case, a = 1, b = 12, and c = 6.
Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.
To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)
So, the vertex is (-6, -30).
To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)
Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.
Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).
The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)
Thus, the y-intercept is (0, 6).
The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.
The domain of the function is all real numbers since there are no restrictions on the possible input values of x.
To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.
Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).
As a result, the range of the function is all real numbers greater than or equal to -30.
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If you apply the changes below to the exponential parent function f(x)=2^x, what is the equation of the new function? Shifts five units to the right, Shifts seven units down
the equation of the new function is:
\(g(x) = 2^{x - 5} - 7\)
What is the equation of the new function?We have a function:
\(f(x) = 2^x\)
And we want to shift it five units to the right, and seven units down, then the new function will be:
\(g(x) = f(x - 5) - 7\)
If we now replace f(x), we get:
\(g(x) = 2^{x - 5} - 7\)
That is the equation of the new function.
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Four less than the product of a number (x)
and 5 is equal to 8 more than 2 added to
3 times the number. Which of these equa-
tions could be used to find the value of x?
Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.
Step-by-step explanation:
Four less than the product of a number (x) and 5 = 5x - 4
8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10
Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10
5x - 3x = 10 + 4
2x = 14
x = 14/2
therefore, x = 7
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Felipe uploaded a funny viedo of his dog. The relationship between the elapsed time in days, d , since the viedo was first uploaded and the total number of views, v , that the viedo received is modeled by v=4^1.25d . Find the number of days it took Felipe's viedo to get 1024 views.
The number of days took to get the video of Felipe 1024 views is 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,
v = 4^(1.25d)
We have to find d when v = 1024
1024 = 4^(1.25d)
We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ
1024 = \((4^{1.25} )^d\)
1024 = (5.6569)^d
Taking logarithms on both sides,
㏒ (1024) = ㏒ [(5.6569)^d]
We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)
㏒ (1024) = d ㏒ (5.6569)
d = ㏒ (1024) / ㏒ (5.6569)
d = 4
Hence it took 4 days to for Felipe's video to get 1024 views.
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A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what proportion of cars are driving between 60 and 70 mi/hr? Round to the nearest thousandth) Group of answer choices
Answer:
Approximately \(0.157\).
Step-by-step explanation:
Let \(X\) denote the speed of a car. The question is asking for \(P(60 \le X \le 70)\).
That probability is equal to \(P(X \le 70)- P(X \le 60)\).
Find each of \(P(X \le 60)\) and \(P(X \le 70)\) using a \(Z\)-table.
Calculate the \(Z\) value for \(x = 70\) and \(x = 60\):
At \(x = 70\), \(\displaystyle z = \frac{x - \mu}{\sigma} = \frac{60 - 55}{5} = 3\).
At \(x = 60\), \(\displaystyle z = \frac{x - \mu}{\sigma} = \frac{70 - 55}{5} = 1\).
In other words: \(P(X \le 70) = P(Z \le 3)\) whereas \(P(X \le 60) = P(Z \le 1)\).
Look up \(P(Z \le 3)\) and \(P(Z \le 1)\) on a \(Z\)-table. The question is asking that the answer be rounded to the nearest thousandth. Therefore, keep at least more decimal places than that in intermediate values.
\(P(Z \le 3) \approx 0.9987\) and \(P(Z \le 1) \approx 0.8413\).
Therefore:
\(\begin{aligned}P(60 \le X \le 70) &= P(X \le 70)- P(X \le 60) \\ &= P(Z \le 3) - P(Z \le 1) \approx 0.157\end{aligned}\).
PLZ HELPPPPPP. 25 POINTS.
A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y?
A. y=12/x
B. y=12x
C. y=12+x
D. y=12−x
Answer:
b
Step-by-step explanation:
because its right dummy
n
What is the domain of the function y=3Vx?
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x 0 3 6 9 y 0 2 4 6
The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The table is given below.
x y
0 0
3 2
6 4
9 6
The variable 'y' is directly proportional to the variable 'x'. Then we have
y ∝ x
y = k x
At (9, 6), the value of the constant 'k' is given as,
6 = 9k
k = 6 / 9
k = 2/3
The proportionality is given as,
y = (2/3) x
The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.
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which point from the equation would you use? y-7=3(x+9)
Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.
To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.
The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.
For example, if we let x = 0, we can solve the equation for y:
y - 7 = 3(0 + 9)
y - 7 = 3(9)
y - 7 = 27
y = 27 + 7
y = 34
So, one point on the line is (0, 34).
Alternatively, if we let x = -9, we can solve the equation for y:
y - 7 = 3(-9 + 9)
y - 7 = 3(0)
y - 7 = 0
y = 7
So, another point on the line is (-9, 7).
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Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
Select ALL expressions that are squares of linear expressions:
O x² + 5x + 25
0 (-²/x + 5)²
O (3m + 2) (3m2)
Od²8d + 16
O x² +81
16x² - 64
The expressions that are squares of linear expressions:
(a²/x + 5)² and (3m + 2) (3m +2).
Here, we have,
given that,
the expressions are:
x² + 5x + 25
(a²/x + 5)²
(3m + 2) (3m +2)
d²8d + 16
x² +81
16x² - 64
now, we have to Select ALL expressions that are squares of linear expressions:
here, we get,
(a²/x + 5)² is a expression that is square of linear expression
(3m + 2) (3m +2) = (3m + 2)² is a expression that is square of linear expression.
Hence, The expressions that are squares of linear expressions:
(a²/x + 5)² and (3m + 2) (3m +2).
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I give Brainlest !!!!!!!
Answer:
40,000
Step-by-step explanation:
Solve 2-3 cos x=5+3 cosx for 0° ≤ 180°
The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
1. Start with the given equation: 2-3cos(x) = 5+3cos(x).
2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.
3. Combine like terms: 2-6cos(x) = 5.
4. Subtract 2 from both sides: -6cos(x) = 3.
5. Divide both sides by -6: cos(x) = -1/2.
6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.
7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.
8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.
9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.
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