Answer:
Step-by-step explanation:
difference=1-(-12)=13°F
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
WORTH 100 POINTS!!!
The indirect proof is unlike the proofs taught during the beginning chapters of geometry. Before you can begin an indirect proof it is important to determine the steps that you will follow. Please put the steps of the indirect proof in the correct order from beginning to end.
1.
2.
3.
4.
5.
1) Identify the statement you want to prove is true
2) Assume temporarily that the statement is false; assume the opposite is true
3) Obtain statements that logically follow from your assumption.
4) Reason logically until you reach a contradiction of a known fact.
5) Point out that your assumption must be false, and the statement must then be true.
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.
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
Find the natural antilogarithm of the given logarithm. 0.0058887
The natural antilogarithm of the given logarithm can be evaluated as; 1.014.
What is the natural antilogarithm of the number?The natural logarithm of the number given in the task content can be evaluated by multiplying by 2.303 as follows;
Natural logarithm value is; 2.303 × 0.0058887
= 0.01356.
On this note, it follows that the natural antilogarithm of the result can be evaluated as;
= 1.014.
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(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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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]
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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Mrs. Carpenter's class is dividing into groups for group work. There are 28 students in the class and 35
desks.
How many students will be in each group if there are 7 equal groups?
Answer:
Step-by-step explanation:
Solution
There are 28 students
There are 7 equal groups
There must by 28/7 = 4
Answer
Each group will have 4 students in it..
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°
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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Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
Answer:
$4.5
Step-by-step explanation:
We apply sales tax to the total cost, which in this case is $40 + $50 = $90.
Thus, we have 5% * $90 = $4.5
It even works individually if you apply the tax to both orders separately and add them together:
(50 * 5%) + (40 * 5%) = 4.5
2.5 + 2 = 4.5
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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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°
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:
(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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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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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.
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.
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
14,392•7 what is the answer step by step
Answer:
100744
Step-by-step explanation:
14392
7
______
4 (carry the 1)
14392
7
______
44 (carry the 6)
14392
7
______
744 ( carry the 2)
14329
7
______
0744 (carry the 3)
14329
7
______
100744 (final answer)
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°
Find the magnitude of −3i
.
Answer:What is the magnitude of 3i?
3i invested c.
Step-by-step explanation: $182m in Magnitude Software in 2019 to accelerate its global growth ambitions through new product development and investments in sales & marketing, and to build a more integrated enterprise software business.
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
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
Which of the following choices will evaluate the expression a2 + b when a = 2 and b = 3?
7 evaluates the expression a2 + b.
option a.7 is the correct choice which evaluates the given expression.
Given values are a = 2 and b =3
the given expression is = a2 + b
To evaluate an expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.
Substitute these value in the given expression.
=2 × 2 ₊ 3
=7
Every time we replace the variables with its values we get the answer as 7. The other options present does not satisfy the equation.
For ex: 25 , we don't get this number when we substitute the given values in the expression. 10 is also not what we get when we solve the expression. Likewise other options are also invalid.
Hence we get the answer as 7.
Your question is incomplete. Please find the missing content here.
Which of the following choices will evaluate the expression a2 + b when a = 2 and b = 3?
a. 7
b. 10
c. 25
d. None of these choices are correct
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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 %
Which equation shows that the pythagorean identity is true for 0=3n/2 ?
Answer:
d
Step-by-step expladnation:
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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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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