Answer:
9
Step-by-step explanation:
because 9 in a third is 3
3 + 12 is 15
9x2 is 18
and 15 is 3 less than 18
can someone help pls
Answer:
Step-by-step explanation:
1) f(-6)= 3
2)f(0)=3
3)f(1)=4
4)f(3)=6
5)sol. to f(x)=5 is 2
6)sol. to f(x)=0 is -3
Which ordered pair is a solution to the system if inequalities y>2x y
Answer:(0,8), (1,10), (-3,9)
Step-by-step explanation:
Answer:
(2,5)
Step-by-step explanation:
just took the test
WILL GIVE BRAINLIEST !!! What is the axis of symmetry for the function, f(x) = −2(x − 4)2 + 2 ?
Answer:
\(x=4\)
Step-by-step explanation:
We have the function:
\(f(x)=-2(x-4)^2+2\)
This is a quadratic in vertex form:
\(f(x)=a(x-h)^2+k\)
Where (h, k) is the vertex.
So, according to the equation, h=4 and k=2.
Hence, our vertex is at (4, 2).
Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.
Hence, our axis of symmetry is x=4.
Solve this system using the substitution method.
-2x – y = -7
x + 7y = 10
Solve using the substitution method and be sure to show all of your work.
Using the substitution method equation form is x is 3 and y is1
What is substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.Finding the value of any variable from one equation in terms of another variable is the first step in the substitution method. For instance, if there are two equations,-2x – y = -7 and x + 7y = 10, Applying the replacement approach begins with this.One of the equations' initial variable should be solved for, and the answer should be inserted into the other equation.Form of Point: (3 , 1 )
Equation Form: x = 3 and y =1
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TIME SENSITIVE
(2,6)
x-y=4
(a) write an equation of the line that passes through the point and is parallel to the given line
(b) write an equation of the line that passes through the point and is perpendicular to the given line
Answer:
(a) Equation of parallel line is y = x + 4
(b) Equation of perpendicular line is y = - x + 8
Step-by-step explanation:
Given line is
x - y = 4
Rewrite this as
x - 4 = y
or
y = x - 4
This is the equation of a line in slope intercept form which is generally
y = mx + b
where m is the slope and b the y-intercept
Here m = 1, b = -4
(a) A parallel line will have the same slope but a different y-intercept
So for starters we can write the equation of the parallel line as
y = x + b
Since this passes through (2,6) sub 2 for x and 6 for y to get
6 = 2 + b
==> b = 4
Equation of the line is
y = x + 4
(b) A perpendicular line will have as slope -1/m where m is the slope of the original line
Here m = 1, so -1/m = -1/1 = -1
Equation will be of the form
y = -x + b
Since this also passes through (2,6)
6 = -2 + b
==> b = 6 + 2 = 8
Equation of perpendicular line is
y = -x + 8
PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answer:3.8
Step-by-step explanation:
Solve the problem. Use 3.14 as the approximate value of pie
The volume of a cylinder is calculated using the formula:
\(V=\pi r^2h\)where r is the radius of the cylinder and h is the height.
From the question, we have the following parameters:
\(\begin{gathered} diameter=4.8 \\ \therefore \\ r=\frac{4.8}{2}=2.4 \\ and \\ h=6.66 \end{gathered}\)Therefore, we c n calculae tehe volume of a cylinder to be:
\(\begin{gathered} V=3.14\times2.4^2\times6.66 \\ V=120.455424 \end{gathered}\)For four cylinders, the combined volume will be:
\(\begin{gathered} V=120.455424\times4 \\ V=481.821696 \end{gathered}\)The volume i 481 .82 cubic inches.
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
What is the range of this graph?
Answer: [x | x= [3, -1]]
Step-by-step explanation:
Jaxson invest $7,500 into an account with a 4.6% interest rate that is compounded monthly how much money will be in this account after 5years. Round your answer to the nearest cent
Answer:
$9,435.35
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 4.6/100
r = 0.046 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.046/12)(12)(5)
A = 7,500.00(1 + 0.003833333)(60)
A = $9,435.35
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
Solve the equation 1/2(16x – 6) = 2.
Answer:
x = 0.625 or 5/8
Step-by-step explanation:
1/2(16x-6) = 2
8x - 3 = 3
8x = 3 + 3
8x/8 = 9/8
x = 0.625
can you mark me as brainliest
the inequality 7-2/3 x
− 14x/ 3 i think this would be the answer
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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help please help me with this.
\(\pi r^2h\)
\(\pi \times 7^2 \times 7\)
\(\pi \times 7^3\)
\(\displaystyle 343\pi\)
Answer:
V = 343 π cm³
Step-by-step explanation:
Given:
Diameter = 14 cm
Radius = 7 cm
Height = 7 cm
Solution:
Volume of Cylinder = \(\pi r^2h\)
V = (3.14)(7)²(7)
V = (3.14)(49)(7)
V = 343 π cm³
Classify the variables in the data if it’s (qualitative, nominal, ordinal, quantitative, discrete, or continuous etc)
The sample may or may not be representative depending on the sampling method that was used. If the sample was randomly selected from the population, it may be representative.
Classify the variables in the data if it’s?However, if the sample was not randomly chosen, then it may not be representative and may have bias.Gender: Nominal
Age: Ordinal
Number of Family Members: Quantitative, Discrete
Income: Quantitative, Continuous
Education Level: Ordinal
This sample may not be representative of the population as a whole, as it is a small sample size and may not accurately reflect the population.Additionally, the sample is not randomly selected and some groups may be over or underrepresented.Moreover, the sample is not stratified and the data may not be equally distributed across all categories.Therefore, this sample may not be representative and could lead to biased results.To learn more about data classification refer to:
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How many degrees is the measure of ∠4
?
Answer:
Below
Step-by-step explanation:
Angle 4 + 60 + 61 = straight line = 180 °
angle 4 = 180 - 60 - 61 = 59°
PLEASE SOMONE ANSWER ILL GIVE BRAINLIST!
In the solution to the equation shown, what property allows you to transform from one step to the next?
image below
Group of answer choices
Addition Property of Equality
Subtraction Property of Equality
Multiplicative Inverse Property
Multiplicative Identity Property
Hi!
Your answer is "Multiplicative Inverse Property".
We can see that it's multiplying both sides by \(\cfrac{5}{4}\) to get \(x\) by itself.
This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.
When a number is multiplied by its multiplicative inverse, it equals 1.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Let u(x) = sin(x) and v(x) = x ^ 14 and f(x) = (u(x))/(v(x))
Explanation:
Step 1. We are given the expressions for u(x) and v(x):
\(\begin{gathered} u(x)=sin(x) \\ v(x)=x^{14} \end{gathered}\)The first two parts of the problem consist of finding the derivative of these two expressions: u'(x) and v'(x).
Step 2. To derivate u(x) we use the following rule:
\(\begin{gathered} for\text{ a function } \\ g(x)=sin(x) \\ The\text{ derivative is} \\ g^{\prime}(x)=cos(x) \end{gathered}\)which means that in this case:
\(\boxed{u^{\prime}(x)=cos(x)}\)Step 3. To derivate v(x) we use the following rule:
\(\begin{gathered} for\text{ a function} \\ g(x)=x^n \\ The\text{ derivative is} \\ g^{\prime}(x)=nx^{n-1} \end{gathered}\)In our case n=14, therefore, the derivative is:
\(\begin{gathered} v(x)=x^{14} \\ \downarrow \\ v^{\prime}(x)=14x^{14-1} \end{gathered}\)simplifying the exponent:
\(\boxed{v^{\prime}(x)=14x^{13}}\)Step 4. Now, to solve the third part of the problem, we consider the definition of f(x) given in the statement:
\(f(x)=\frac{u(x)}{v(x)}\)And to find the derivative of this function f'(x) or f', we use the quotient rule,
\(f^{\prime}=\frac{u^{\prime}v-uv^{\prime}}{v^2}\)We already know u and v from the given definitions, and we found u' and v' in 2 and 3.
So now, we substitute the known values into the quotient rule formula:
\(f^{\prime}=\frac{cos(x)(x^{14})-sin(x)(14x^{13})}{(x^{14})^2}\)Step 5. The last step is to simplify our result. We start by simplifying the exponent in the denominator:
\(f^{\prime}=\frac{cos(x)(x^{14})-s\imaginaryI n(x)(14x^{13})}{x^{28}}\)and to simplify further, divide both the numerator and denominator by x^13
\(\begin{gathered} f^{\prime}=\frac{cos(x)(x^)-s\imaginaryI n(x)(14)}{x^{15}} \\ \downarrow \\ \boxed{f^{\prime}=\frac{xcos(x)-14sin(x)}{x^{15}}} \end{gathered}\)And that is the simplified solution.
Answer:
\(\begin{gathered} u^{\prime}(x)=cos(x) \\ v^{\prime}(x)=14x^{13} \\ f^{\prime}=\frac{xcos(x)-14s\imaginaryI n(x)}{x^{15}} \end{gathered}\)Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
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Question is on the picture
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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A medical experiment on tumor growth gives the following data table.
x y
61 48
95 76
97 82
101 95
115 118
The least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was 2640.8 and the sum of squares of regression (SSR) was 2429.8. Calculate R2, rounded to three decimal places.
Provide your answer below:
The calculation of the coefficient of determination, or R² rounded to three decimal places is 0.080.
What is the coefficient of determination (R²)?The coefficient of determination, R², is a statistical measurement that determines the proportion of variance in the dependent variable that the independent variable can explain.
In other words, R² shows how well the actual data is approximated by the regression line.
R-Squared (R²) is widely used to predict future outcomes and for hypothesis testing because it provides information about the goodness of fit of the statistical model.
x y
61 48
95 76
97 82
101 95
115 118
The total sum of squares (SST) = 2640.8
The sum of squares of regression (SSR) = 2429.8
R² = 1 - SSR/SST
R² = 1 - 2429.8/2640.8
R² = 1 - 0.92
R² = 0.080
R² = 8%
Thus, with R² = 8%, we can conclude that the y values are only accountable for 8% of the variation in x.
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Enter the number of tens and ones in the chart for 61+14=75
Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?
Answer:
10.2
Step-by-step explanation:
Answer:10.2
Step-by-step explanation:
If f(x)=x^3−5x^2−2x+24 and (x+2) is a factor, what are the remaining factors?
Factor 1:
Factor 2:
Factor 3:
Answer:
(x+2), (x-4), (x-3)
Step-by-step explanation:
Use the rational root theorem to get started, then factor the remaining quadratic to find:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
Explanation:
Let f(x) =x^3 − 5x^2 − 2x + 24
By the rational root theorem, any rational zeros of f(x) must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.
That means that the only possible rational zeros are the factors of 24, namely:
± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24
Try each in turn:
f(1) = 1 − 5 − 2 + 24 = 18
f(−1) = −1 − 5 + 2 + 24 = 20
f(2) = 8 − 20 − 4 + 24 = 8
f(−2) = −8 − 20 + 4 + 24 = 0
So x = −2 is a zero and (x + 2) is a factor.
x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)
We can factor
x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:
x^2 − 7x + 12 = (x − 4)(x − 3)
Putting it all together:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more extreme?
Answer:
the shorter man
Step-by-step explanation:
224 cm minus 174.21 = 49.79
49.79/5.56= approximately 9 standard deviations from the mean.
174.21 minus 97.8= 76.41
76.41/5.56= approximately 14 standard deviations from the mean.
bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.
Can someone please help fast!!
can you simplify this: 1/3(5x-8)+2/3x
Answer:(7/3)x - 8/3.
Step-by-step explanation:
To simplify this expression, you need to distribute the 1/3 to the expression inside the parenthesis. This gives:
1/3(5x-8) = (1/3)*5x - (1/3)*8 = (5/3)x - (8/3)
Now, you can distribute the 2/3 to the x-term:
2/3x = (2/3)x
Putting the two terms together, you get:
(5/3)x - (8/3) + (2/3)x = (5/3 + 2/3)x - 8/3 = (7/3)x - 8/3
So, the simplified expression is (7/3)x - 8/3.
Answer:
Step-by-step explanation:
1/3(5x-8)+2/3x
multiply everything by the LCM of the denomenators
LCM of the denomenators=3
1/3 x 3=0
(5x-8)x3=15x-24
2/3x x3=2x
15x+2x-24
=17x-24
Which equation is equivalent to 4 square x+3 =64?
Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)