The simplified expression is 2187.
Given expression:
expression 3 with the exponent 4 multiplying 3 with the exponent of 3.
= [tex]3^{4} *3^{3}[/tex]
we know that,
if base are equal exponents are added.
= [tex]3^{4+3}[/tex]
= [tex]3^{7}[/tex]
= 3*3*3*3*3*3*3
= 9*3*3*3*3*3
= 27*3*3*3*3
= 81*3*3*3
= 243*3*3
= 729*3
= 2187.
Therefore the simplified expression is 2187.
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HURRY ASAP!
What is six-eighths times five?
Your answer should be in mixed number form.
A. one and ten-thirtieths
B. three and six-eighths
C. six and four-sixths
D. nine and three-fifths
Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
Hopes this helps please mark brainliest
I (O,6), J (-1,1)
Help me find the slope please
Answer:
The slope is 5.
Step-by-step explanation:
[tex]m = \frac{1 - 6}{ - 1 - 0} = \frac{ - 5}{ - 1} = 5[/tex]
-2x+5=23 what is x i dont know how to find it
Answer:
x=-9
Step-by-step explanation:
-2x+5=23
-5 on both sides
-2x=18
/-2 on both sides
x=-9
Hi, how would I solve this question and what's the answer
Answer:
-4/5
Step-by-step explanation:
do -3/2to get your answer
Step-by-step explanation:
You find the image of triangle by translation
Use the diagram below for the expression x^2+10x+6 to answer the following questions?
What value needs to be added to x^2+10x+6 to complete the square?
Using your answer above rewrite the perfect square trinomial as a squared binomial?
The value needs to be added to x²+10x+6 to complete the square is 19.
What is Perfect square trinomials?Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)².
In the presented trinomial, we can immediately find that a = x, and b² = c,
We know that a = x, and , 2ab = 2bx.
Now, 2bx and 30x are corresponding terms, 2bx = 30x.
Take the coefficient of x = 10
Divide by 2
10/2 =5
Then Square it
5 x 5=25
Add this to make a perfect square trinomial;
x² + 10x + 25
In the given equation we need to add 19 to make the perfect square trinomial; x² + 10x + 25.
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Write an expression to represent:
4 times the difference of x and 2.
Answer:
4 times the difference of x and 2 is 4(x-2)
x + y = 5
–3x + 2y = 5
using a z-table like the one found in lectures, or a z-score calculator, approximately what is the probability of randomly drawing a value greater than 3.0 from a z-distribution? question 3 options: .9995
The probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
What does z-score mean?The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.
An element that is below the mean is indicated by a z-score that is less than 0.
An element bigger than the mean is indicated by a z-score greater than 0.
An element that is equal to the mean is represented by a z-score of 0.
P(Z > a) = 1-P(Z<a)
Let's say we want to know, for instance, the likelihood that a z-score will be higher than 3.00.
We learn from the table, that
P(Z < 3.00) = 0.9987.
Therefore,
P(Z > 3.00) = 1 - P(Z < 3.00)
= 1 - 0.9987
= 0.0013.
Therefore, the probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
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is the number 1.41421356 rational
The number 1.41421356 is not a rational number.
What is a rational number?
A number that can be expressed as a ratio is called a rational number. This indicates that it may be expressed as a fraction, where the numerator (the number on top) and denominator (the number on the bottom) are both whole numbers.
The given number is 1.41421356
The square root of 2 has the approximate value of 1.41421356
The number is non-terminating and non-repeating decimals.
That's why the given number is not a rational number.
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given: line 1 passes through (-3, -7) and (5,3)
Line 2 passes through (-4, -2) and is perpendicular to line 1
Answer:
Step-by-step explanation:
We start by developing an equation for Line 1, and then use that to find the equation for Line 2. We'll use the form of an equation for a straight line:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x=0).
Line 1
Determine the slope, m, by calculating the "Rise/Run" between the two points (-3,-7) and (5,3).
Line up the two points from left to right (based on x) and then calculate:
Rise: (3 - (-7)) = 10
Run: (5 -(-3) = 8
The slope, m, is Rise/Run or (10/8)
The equation becomes y = (5/4)x + b
We could calculate b, the y-intercept, by entering one of the two given points and solving for b, but the only thing we need from this line is it's slope, m. Slope is (5/4), which we'll use in the next step: Line 2.
[Note: Out of curiosity, here is the calculation for b: Use point (5,3) in y = (5/4)x + b and solve for b. 3 = (5/4)*5 + b. 3 = (25/4) + b b = -13/4. This means that Line 1 is y = (5/4)x -(13/4)]
Line 2
The slope of a line perpendicular to the first is the "negative inverse" of the first line. In this case, line 1's slope of (13/8) would become a slope of -(8/13) for line 2.
Line 2: y = -(8/13)x + b
We'll calculate b for this line by enetering the single point provided, (-4,-2), and solving for b:
y = -(8/13)x + b
-2 = -(8/13)*(-4) + b
-2 = (32/13) + b
-2 - (32/13) = b
b = -(26/13) - (32/13)
b = -(58/13)
The new line perpendicular to Line 1 and passing through (-4,-2) is:
y = -(8/13)x -(58/13)
See attached graph.
71.
For what values of x is the above
inequality true? -12>6x
A. x > -6
B. x < -6
C. x < -2
D. x > -2
g(x) = x ³ +5x
h(x) = x +5
find g(x) + h(x)
Answer:
[tex]g(x) + h(x) = x^3 + 6x + 5[/tex]
Step-by-step explanation:
We are told that:
[tex]g(x) = x^3 + 5x[/tex]
[tex]h(x) = x + 5[/tex],
and we are asked to find an expression for [tex]g(x) + h(x)[/tex].
In order to find the expression for [tex]g(x) + h(x)[/tex], we have to simply add the expressions of [tex]g(x)[/tex] and [tex]h(x)[/tex] together:
[tex]g(x) + h(x)[/tex]
= [tex]x^3 + 5x + x + 5[/tex]
= [tex]x^3 + 6x + 5[/tex]
What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?
The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)
What is the midpoint?
The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.
Given, [tex]A(6,12) = (x_{1}, y_{1} )[/tex]
[tex]B(6,12) = (x_{2}, y_{2} )[/tex]
Let M is a midpoint of AB, then
[tex]M(x,y)=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)[/tex]
The midpoint of point AB is M(2.5,5)
Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factor of the polynomial f(x) graphed on the coordinate plane is
(x - 1).
What is factor of the polynomial?
A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.
From the given graph we can see that, graph crosses x - axis at points
x = 1 and x = 8.
That means x = 1, 8 are the zero of the polynomial.
Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.
As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.
Hence, from the given options (x - 1) is factor of the polynomial.
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Which table of values satisfies the linear equation y=−47x−2?
x y
−7 −6
0 −2
7 2
x y
−14 6
0 0
14 −10
x y
−7 2
0 −2
7 −6
x y
−14 −10
0 0
14 6
The values satisfies the linear equation y = −47x−2 is (0, -2).
Describe the word linear equation?an equation where every term has either a constant else includes only one variable, each variable does have an exponent of one, and the graph is always a straight line.The general form of such a linear equation is y = mx + b, where m and b can be any real number.For the given question.
The linear equation is given as;
y = −47x −2
Check the result by putting the values from option.
For : −7 −6
Put x = -7
y = −47(-7) −2
y = 799 -2
y = 498 (incorrect)
For: 0 −2
Put x = 0
y = −47x −2
y = −47(0) −2
y = -2 (correct)
Thus, the values satisfies the linear equation y = −47x−2 is (0, -2).
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five sevenths raised to the negative first power times eighteen hundredths raised to the second power.
Answer: 0.04536
Step-by-step explanation:
Consider the quadratic equation.
X^2 -5x=6
If a student wants to factor this equation by the method of completing the square, why term should the student add to both sides as the first steps?
In completing the square method, considering the equation X^2 - 5x = 6 the student should add 25 / 4 to both sides of the equation
How to know term should the student add to both sidesThe quadratic equation is an equation of the form
ax^2 + bx + c
The completing the square method is on of the methods of solving equations of the form above
The factor to be added on the both sides of the equation while using the completing the square method is
(b / 2a)^2
compared to the equation in the problem X^2 - 5x = 6 it is
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Write the equation of the line is fully simplified slope intercept form
Answer:
y = - 2x + 1
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 11) and (x₂, y₂ ) = (6, - 11) ← 2 points on the line
m = [tex]\frac{-11-11}{6-(-5)}[/tex] = [tex]\frac{-22}{6+5}[/tex] = [tex]\frac{-22}{11}[/tex] = - 2
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - 2x + 1 ← equation of line
he types at a rate of 30 words per minute is this stament a function or not a function
Two cars are traveling in the same direction. the first car is going 40 mi/h and the second car is going 55 mi/h. the first car has a 120 mile head start. which equation could you solve to find how many hours it will take for the second car to catch up to the first car?
The equation that could solve how many hours it will take for the second car to catch up to the first car is 55t = 120 + 40t.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
If the first car is going 40 mi/h, and has a 120 mile head start, then the distance it covers at time = t is,
d1 = 120 + 40t
If the second car is going 55 mi/h, you want to know the amount of time it will catch the first car, then, their distance must be equal.
d2 = 55t
d1 = d2
120 + 40t = 55t
Simplify the equation of t.
55t - 40t = 120
15t = 120
t = 8
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What is the quotient of 7 over 8 divided by 2 over 5?
Answer:
2 3/16
Step-by-step explanation:
It's simple math :D
NOVEMBER QUOTE!
Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox
(sorry that ones so long- ;-;)
Solve for x.
x/2 + 1 = √3
The solution of x when solving x/2 + 1 = √3 is :
x is 2√3 - 2 .
What is the solution of x?Find the value of x that would make the equation you see true is what it means to "solve for x." Consider the following formula: x + 1 Equals 3. If you were to attempt to solve it, you would need to identify a value for x such that it yields three when one is added.
Here in the question given equation ,
x/2 + 1 = √3
To find solution,
we have to subtract 1 from LHS and RHS of equation,
⇒ x/2 + 1 - 1 = √3 - 1
⇒ x/2 = √3 - 1
Next multiply both sides by 2
2( x/2) = 2(√3 -1)
By simplifying both sides we get,
x = 2√3 - 2
So the value of x = 2√3 -2.
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A midwife delivers 10 babies considering a % chance of delivering a boy and 50% chance of delivering a girl, answer the following questions what is the probability that 6 of the babies will be boys?
A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%
The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.
The formula is given by:
P(x) = ⁿCx . P^x . (1 - P)^(n-x)
x = total number of event A
n = number of trials
P = probability of A in a single trial
Parameters given in the problem:
n = 10
x = 6
P = 50% = 0.5
Plug these parameters into the formula:
P(6 boys) = ¹⁰C₆ . (0.5)⁶ . (0.5)⁴
= 0.205 = 20.5%
Hence, the probability that 6 out of 10 babies will be boys is 20.5%
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which are the solutions of x2= -5x +8
PLEASEEE HELPPP
Find ALL missing angles.
will give brainly
Step-by-step explanation:
E=29
G = 180-29-107= 44
F = 180-29-29 = 122
H = 180-29-29 = 122
S = 180-107 = 73
M = 107
C = 73
D = 107
T = 73
B = 107
N = 73
K = 44
A = 360-44-44-107 = 165
O = 180-44 = 136
P = 44
J= 136
What is the expression d/3+4
Answer:
d+12/3
Step-by-step explanation:
*= multiply /= fraction ALL OVER= fraction over fraction
find the common denominator-
d/3+4
d/3+3*4/3
combine fractions with the common denominator
d/3+3*4/3 ALL OVER d+3*4/3
multiply
d+3*4/3 ALL OVER d+12/3
help with this math problem
The solution of the linear equation:
(2x + 6)/5 = 4x - 3
is x = 7/6
How to solve the equation?
Here we have the following equation:
(2x + 6)/5 = 4x - 3
To solve this, we need to isolate x in one of the sides of the equation, we can start by multiplying both sides by 5.
2x + 6 = 5*(4x - 3)
Expanding the right side we get:
2x + 6 = 20x - 15
Now you can see that this is a simple linear equation, now we need to group like terms:
6 + 15 = 20x - 2x
21 = 18x
Now we can divide both sides by 18 to get:
21/18 = x
Finally, if we divide both numerator and denominator of the fraction by 3, we get:
21/3 = 7
18/3 = 6
Then 21/18 = 7/6
Finally, we conclude that the solution is:
x = 7/6
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Maximum height of 32 feet after 1.25s
Step-by-step explanation:
suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. a sample is drawn from this population of size 64. expressing your answer to one decimal place, what is the standard error of the mean?
The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.
What is standard error?Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Here,
Sample size=64
Standard deviation= 9.6
Error=Standard deviation/Sample size
=σ/√n
=9.6/√64
=9.6/8
=1.2
The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.
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the chief of police in statville wanted to estimate the number of people above the age of 181818 who are using illegal substances in town. he obtained 200200200 random names of statville residents from a computer database and sent his officers to survey these people about substance abuse. once the results came in, he calculated the margin of error and got an estimate of the percentage of residents who use illegal substances. what type of statistical study did the chief of police use?
The chief of police use sample statistical study to estimate the number of people above the age of 18 who are using illegal substances in town.
In the given question,
The chief of police in statville wanted to estimate the number of people above the age of 18 who are using illegal substances in town.
He obtained 200 random names of statville residents from a computer database and sent his officers to survey these people about substance abuse.
Once the results came in, he calculated the margin of error and got an estimate of the percentage of residents who use illegal substances.
We have to explain what type of statistical study the chief of police use.
In the given question chief of police wants to check number of people who using illegal substances in town above the age of 18. So he take 200 random names from a computer database. That means he take the sample of 200 random people.
As we know that a sample is a selection from a larger population of individuals, things, or things that are used for measurement. To enable us to extrapolate the research sample's findings to the entire population, the sample must be representative of the population.
So we can say that the chief of police use sample statistical study to estimate the number of people above the age of 18 who are using illegal substances in town.
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Answer: Sample Study
No because there’s a great risk of obtaining biased answers.
