The value of (38)-2(13⋅38)3(13)4. is -154090
How to simplify the expression?The expression is given as:
(38)-2(13⋅38)3(13)4.
Rewrite properly as:
(38) - 2 * (13 * 38) * 3 * (13) * 4.
Evaluate the products in the bracket
(38) - 2 * (494) * 3 * 52
Further, expand
38 - 154128
Evaluate the difference
-154090
Hence, the value of (38)-2(13⋅38)3(13)4. is -154090
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What was the full commission rate if Sarah was paid $3,152.50 on the sale of a $97,000 property? Sarah's agreement with her broker is half of the full commission.
Answer:
6.5 %
Step-by-step explanation:
Full commission would then be 2 * 3152.50 = 6305
Full commission percentage of sale is then:
6305 / 97000 * 100 % = 6.5 %
What’s the correct answer answer asap
Answer:
overfishing
Step-by-step explanation:
I'm not completely sure but i think it's overfishing because it has more to relate to the food chain which would be most likely to lead to a shortage
solve the equation using complete square method x²-x-2=0
The values of x in x²-x-2=0 are x = 2 or -1
How to solve the equation?The equation is given as:
x²-x-2=0
Add 2 to both sides
x² - x = 2
Take the coefficient of x
k = -1
Divide by 2
k/2 = -1/2
Square both sides
(k/2)² = 1/4
Add 1/4 to both sides of x² - x = 2
x² - x + 1/4= 2 + 1/4
Evaluate
x² - x + 1/4= 9/4
Express as perfect square
(x - 1/2)² = 9/4
Take the square roots
x - 1/2 = ±3/2
This gives
x = 1/2 ±3/2
Evaluate
x = 2 or -1
Hence, the values of x in x²-x-2=0 are x = 2 or -1
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M∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary
The value of 'x' is 10°
How to determine the anglesWe have that supplementary angles sum up to 180
M∠A = (6x +4)° and m∠B = (10x + 16)°.
Then,
6x + 4 + 10x + 16 = 180
Collect like terms
16x + 20 = 180
16x = 180 - 20
16x = 160
x = 160/ 16
x = 10°
Thus, the value of 'x' is 10°
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Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of
Southwest Airlines bonds by 2028. Calculate the payment Rob needs to make
at the end of each year at 5% compounded annually to reach his goal of paying
off $430,000 in 10 years. (Use Table 13.3.) (Do not round intermediate
calculations.)
To achieve his goal of paying off $430,000 in 10 years, Rob Herndon needs to make $34,186.97 at 5% compounded annually.
What is a future value?A future value refers to a value on a future date based on an assumed growth rate of interest over time.
The future value can be determined using the FV formula or table.
We can also compute the future value using an online finance calculator as follows:
Data and Calculations:N (# of periods) = 10 years
I/Y (Interest per year) = 5%
PV (Present Value) = $0
FV (Future Value) = $430,000
Results:
PMT = $34,186.97
Sum of all periodic payments = $341,869.70
Total Interest= $88,130.30
Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.
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Which equation shows that the pythagorean identity is true for 0=3n/2 ?
Answer:
d
Step-by-step expladnation:
mer School)
Applying the Addition Rule of Mutually Exclusive Even
A day of the week is randomly chosen. What is the probability of choosing Monday or a day that starts with t
S?
Try It
P(Monday) =
P(starts with S) =
P(Monday or starts with S) =
Step-by-step explanation:
a probability is always the number of desired cases over the number of total possible cases.
in this situation the number of total cases is 7 : days of the week.
the 3 probabilities just differ based on the number of desired cases.
P(Monday) : there is only one desired case out of the 7 possible ones. so, the probability is
1/7 = 0.142857143...
P(starts with S) : 2 desired cases (Saturday and Sunday).
so the probability is
2/7 = 0.285714286...
P(Monday or starts with S) : 3 desired cases (Monday, Saturday, Sunday).
so the probability is
3/7 = 0.428571429...
It cost Allison $5.80 to send 58 text messages. How much would it cost to send 40 text messages?
Answer:
4$
Step-by-step explanation:
The ratio between the $5.80 spent for 58 text messages is $0.10. This means that each text message sent is $0.10. So you just multiply $0.10 and 40 text messages to find that it costs $4 to send 40 messages.
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x)=x+30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answer: Then the graph of the function f(x) will change shifting vertically down (because the negative sign in 4) by 4 tons.
Please help!! Getting timed for this! Consider the following system of two linear equations:
3y + 2x = 15
x – y = 0
Select the graph that correctly displays this system of equations and point of intersection.
Answer: plug in the coordinates for x and y
Step-by-step explanation:
take a look at my work if you still need some help
For an output level below Qg, the value of a unit to a buyer is
Suppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free market
equilibrium shown in the previous graph. Such a situation is characterized by
, which is an example of
the cost of a unit to a seller.
Step-by-step explanation:
გჰჰბფჯ არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი კომენტარი არ არის დაწერეთ პირველი
A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 4 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds.
Answer:
write three methods of writing set. Give one example of each method.
A single die is rolled twice. Find the probability of getting a 1 the first time and a 4 the second time.
Answer:
1/36
Step-by-step explanation:
Rolling a 1 the first time has an 1/6 chance and rolling a 4 has an 1/6 chance the 2nd time.
1/6 * 1/6 = 1/36 chance.
NO LINKS!!! What is the transformation f(x)= x^3:
PART 2:
THIS IS NOT MULTIPLE CHOICE!!!
4. f(x)= (5x)^3
5. f(x)= (x+5)^3 + 5
6. f(x)= (x-5)^3-5
Answer:
4. Horizontal shrink by a factor of ¹/₅
5. Left 5, Up 5
6. Right 5, Down 5
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Identify the transformations that take the parent function to the given function.
Question 4
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(5x)^3[/tex]
Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by 5.
Therefore, the transformation is:
[tex]y=f(5x) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{5}[/tex]
As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅
Question 5
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(x+5)^3+5[/tex]
Comparing the parent function with the given function, we can see that there are a series of transformations:
Step 1
5 has been added to the x-value of the parent function.
[tex]f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}[/tex]
Step 2
5 has then been added to function.
[tex]f(x+5)+5 \implies f(x+5) \: \textsf{translated}\:5\:\textsf{units up}[/tex]
Transformation: Left 5, Up 5
Question 6
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(x-5)^3-5[/tex]
Comparing the parent function with the given function, we can see that there are a series of transformations:
Step 1
5 has been subtracted from the x-value of the parent function.
[tex]f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}[/tex]
Step 2
5 has then been subtracted from function.
[tex]f(x-5)-5 \implies f(x-5) \: \textsf{translated}\:5\:\textsf{units down}[/tex]
Transformation: Right 5, Down 5
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Answer:
4) Horizontal shrink by a factor of 1/5
5) Left 5, Up 5
6) Right 5, Down 5
Explanation:
Main parent function: f(x) = x^3
4.) f(x) = (5x)^3
Comparing it with f(ax) which gives horizontal compression when a > 1 or horizontal stretch when 0 < |a| < 1 by a factor of 1/a
The function has been compressed horizontally by a factor of 1/5.
5.) f(x) = (x+5)^3 + 5
Comparing with f(x + c) + d, gives function moved c units left, d units up.
The function has moved 5 units left and 5 units up.
6.) f(x) = (x-5)^3 - 5
Comparing with f(x - c) - d, gives function moved c units right, d units down.
The function has moved 5 units right, 5 units down.
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 45°
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent (equal).
From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
∠FEC = x°∠DEG = 20° + 25° = 45°Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm
Answer:
28
Step-by-step explanation:
The diagram shows a square, and it is known that all side lengths for a square are equal. We can use these information on hand and write the following equation to find the side length:
7x + 3 = 5x + 8 transfer like terms to the same side of the equation
7x - 5x = 8 - 3 add/subtract
2x = 5 divide both sides by 2
x = 2.5 to find a side length simply replace x with 2.5
5x + 8 = 5*(2.5) + 8
5*(2.5) + 8 = 28
an angle is equal to five times of its complementary angles, find the angle
Answer:
75°Step-by-step explanation:
the sum is 90°add 5 + 1 to find the units5 + 1 = 6 units
divide 90 ° by 6 to find the value of one unit90 : 6 = 15 (one unit)
multiply the result by five to find the angle15 * 5 = 75°
2=3√4x-12 x=? Please help with this question
Answer: 49/9
Step-by-step explanation:
[tex]2=3\sqrt{4x}-12\\\\14=3\sqrt{4x}\\\\\frac{14}{3}=\sqrt{4x}\\\\4x=\frac{196}{9}\\\\x=\frac{196}{36}\\\\x=\frac{49}{9}[/tex]
What are the factors of the trinomial?
(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)
(x + 4) and (x – 5)
The factors of the trinomial to the given quadratic expression are (x+1) and (x-4)
Factoring quadratic equationGiven the quadratic equation below
f(x) = x^2 - 3x - 4
Factorize
f(x) = x^2 - 4x + x - 4 = 0
f(x) = x(x - 4) + 1(x - 4) = 0
(x+1)(x-4) = 0
Hence the factors of the trinomial to the given quadratic expression are (x+1) and (x-4)
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which table represents a linear function? x=1,2,3,4 y=3,7,11,15 x=1,2,3,4 y=3,8,15,21 x=1,2,3,4, y=3,9,3,9 x=1,2,3,4 y=3,9,27,81?
Answer:
x=1,2,3,4 y=3,7,11,15
firstly find d such that d=7-3=4
afunction f(x)= 3+4(x-1)
and x= 1,2,3,4 y=3,9,27,81
y=x²
1. The cost of three dozen eggs and two dozen oranges is ¢6.96. The cost of two dozen eggs and one dozen
oranges is $4.08. What is the cost per dozen of each item
Answer:
$1.20 per dozen eggs, $1.68 per dozen oranges
Step-by-step explanation:
Let x=cost of one dozen eggs and y=cost of one dozen oranges.
3x + 2y = 6.96------>3x + 2y = 6.96
2x + y = 4.08-------->4x + 2y = 8.16
---------------------
x = 1.20
4(1.20) + 2y = 8.16
4.80 + 2y = 8.16
2y = 3.36
y = 1.68
Answer:
The cost of one dozen of egg is 1.2
The cost of one dozen of orange is 1.68
Step-by-step explanation:
The solution is in the image
In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade? 0.2 0.3 0.4 0.5
The probability that a randomly selected riverside high school student is in twelfth grade is 0.4
How to determine the probability?The complete question is in the attached image
From the image, we have:
Riverside students = 500High school riverside students in twelfth grade = 200The probability is then calculated as:
P = 200/500
Divide
P = 0.4
Hence, the probability that a randomly selected riverside high school student is in twelfth grade is 0.4
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Answer:
the answer is C
Step-by-step explanation:
Geometry worded problem
What is the total cost of material for bunny costumes?
Answer: $201.81
Step-by-step explanation:
The total amount of faux fur required is [tex]6(3.1)=18.6[/tex] square yards.
Multiplying this by $10.85 per square yard, we get the total cost is [tex](18.6)(10.85)=\$201.81[/tex]
Find the sin T. Round to the nearest hundredth.
Answer:
.38
Step-by-step explanation:
sin is the opposite side from angle T over the hypotenuse.
5/13
Find a in degrees.
3
V58
7
?
Answer:
23.20°
Step-by-step explanation:
All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.
Trig relationThe tangent of the angle is the ratio of opposite and adjacent sides:
Tan = Opposite/Adjacent
Here, that means ...
tan(α) = 3/7
To find the value of α, we need to use the inverse tangent function, also called the arctangent function.
α = arctan(3/7) ≈ 23.19859°
α≈ 23.20°
Children develop spatial awareness as they hear position words when you give directions or narrate as children demonstrate the action in their play. Which of the following demonstrate narration as Bailey plays on the slide?
A.Teacher : Good job Bailey , You are a great climber.
B. Teacher : Bailey you are climbing up the ladder to the top of the slide and now you are going down the slide.
C. Teacher: Bailey, be sure to wait your turn and be careful up there
(1 point)
If A and B are 7 x 2 matrices, and C is a 4 x 7 matrix, which of the following are defined?
OA. CA
B. B - A
C. B-C
D. ABT
E. AC
OF. CT
The statements A, B, D, and E are defined.
When we multiply matrices, the number of columns of the 1st matrix must equal the number of rows of the 2nd matrix.
What is the subtraction of the matrix?
When we add or subtract matrices, the number of rows and columns must be the same.
A) If C is 7x3 and A is 3x2, that means C has 3 columns and A has 3 rows. So C * A is defined.
B) When you transpose a matrix, the number of rows and columns are switched. So C^T has 3 rows and 7 columns. So C^T is defined.
C) B has 2 columns and C has 7 rows, so B * C is not defined.
D) Because A and B have the same number of rows and columns, we can add them. So A + B is defined.
E) B^T has 2 rows and 3 columns, and C^T has 3 rows and 7 columns. So B^T has the same number of columns as the number of rows as C^T. So B^T * C^T is defined.
F) C and A have different numbers of rows and columns, so C-A is not defined.
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Select the correct answer. Consider these functions: f(x)=x+1 g(x)=2/x.Which polynomial is equivalent to (f ◦ g)(x)?
The polynomial which is equivalent to fog(x) is 2/x + 1.
What is Polynomial?A polynomial is a type of expression. An expression is a mathematical statement without an equal-to sign (=).
Here,
given functions are;
f(x) = x + 1 ; g(x) = 2/x
Now, we need to compose fog(x) from the given function;
fog(x) = f ( g(x) )
= f( 2/x)
= 2/x + 1
Thus, the polynomial which is equivalent to fog(x) is 2/x + 1.
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(01.05 LC)
Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −48?
−2x − 8 > −44 and −2x − 8 ≥ −48
−2x > −44 and −8 ≥ −48
−2x − 8 < −44 and −2x − 8 ≤ −48
−2x − 8 < −44 and −2x − 8 ≥ −48
The equivalent form of the compound inequality are −2x − 8 < -44 and −2x − 8 ≥ −4
Compound inequalityInequality are expression not separated by an equal sign. Given the compound inequality
−44 > −2x − 8 ≥ −48?
Add 8 to all the sides
−44 + 8> −2x − 8+8 ≥ −48 + 8
−36 > −2x ≥ −40
This can be also be written as
−44 > −2x − 8 and −2x − 8 ≥ −48
Changing the sides will change the sign to have
−2x − 8 < -44 and −2x − 8 ≥ −48
Hence the equivalent form of the compound inequality are −2x − 8 < -44 and −2x − 8 ≥ −4
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A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x2−10x+25 yd2.
The length of the flagpole is x - 5 yards
How to determine the length of the flagpole?The complete question is in the image
The area of the flagpole is given as:
Area = x^2 - 10x + 25
Expand the expression
Area = x^2 - 5x -5x + 25
Factorize the expression
Area = (x - 5)(x - 5)
Express as squares
Area =(x - 5)^2
The area of a square is
Area = Length^2
So, we have:
Length = x - 5
Hence, the length of the flagpole is x - 5 yards
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