Answers
Answer:
C -4,-3
Step-by-step explanation:
for PLATO
The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The range of the function will be
The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)
Then the range is given as
[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]
Then the correct option is C.
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Related Questions
What is the first step to solve this equation 4x-9=15
Answers
Answer:
x=6
Step-by-step explanation:
What is 10000000 times 23400?
Answers
Answer:234000000000
Step-by-step explanation:
how can we use the study of time measurement's in our time Management?
Answers
Answer:
We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.
i need your help plz say fast
Answers
What is the slope of a line parallel to the line whose equation is 5x + y = -9
Answers
Answer:
-5
Step-by-step explanation:
Because this equation is in standard form you can do -A/B which is the first two numbers of the equation, and since -A=5 and B=y(1) then i just did -5/1 and i got -5
A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?
Answers
The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
What is Area?Area is the amount of space taken up by a plane shape.
To find an expression for the area of the entire photograph and the frame combined, we use the formula below.
Formula:
A = L×W............. Equation 1Where:
A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frameFrom the question,
Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inchesSubstitute these values into equation 1
A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
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Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?
Answers
The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins
How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18 gNumber of half-lives (n) =?2ⁿ = N₀ / N
2ⁿ = 110 / 18
2ⁿ = 55/9
Take the log of both side
Log 2ⁿ = Log (55/9)
nLog 2 = Log (55/9)
Divide both side by Log 2
n = Log (55/9) ÷ Log 2
n = 2.61
How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?t = n × t½
t = 2.61 × 10
t = 26.1 mins
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What is a good estimate and the actual measurement for this angle measurement? A. 110 and 109 B. 95 and 96 C. 90 and 91 D. 70 and 71
Answers
The good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
What is a good estimate?
In construction, a good estimate is an approximate value of a number that makes it faster to make cognitive deductions.
On the other hand, the actual measurement is the exact measurement of an angle or shape when the appropriate measuring tools are being used.
From the diagram, the angle is an obtuse angle because it is more than 90° since it extends more than its perpendicular axis(90°), but it is less than 180°.
Therefore, we can conclude that the good estimate, as well as the actual measurement for the given angle, is 110° and 109°.
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Answer: A 110 and 109
Step-by-step explanation:
A cut piece of ribbon is 21 inches long. The piece of ribbon is 15% of the original length of the ribbon.
How long was the original length of the ribbon?
Answers
Answer:
140 inches
Step-by-step explanation:
21 is 15% of 140.
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
Answers
Answer:
A = 40°
a = 9.0
b = 10.7
Step-by-step explanation:
The sum of interior angles of a triangle is 180°
⇒ m∠A + 50° + 90° = 180°
⇒ m∠A + 140° = 180°
⇒ m∠A = 180° - 140°
⇒ m∠A = 40°
[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]
[tex]\implies \mathsf{a=14\cos(50)}[/tex]
[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]
[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]
[tex]\implies \mathsf{b=14\sin(50)}[/tex]
[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Let consider the given triangle be ABC
Here, It is given in the question that ,
[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]Therefore,By using Angle sum property
It states that the sum of all angles of triangles are equal to 180°That is,
[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]
Subsitute the required values,
[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]
[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]
[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]
[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]
Thus, The angle A is 40°
Now,We have to find the side a and b
We know that,
[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]
[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]
For side A[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]
[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]
[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]
[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]
[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]
For Side B[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]
[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]
[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]
Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .
What is the surface area of the cube shown?
square centimeters
Answers
The area of one face is length x width:
Area of one face = 6.5 x 6.5 = 42.25 square cm.
There are 6 total faces on a cure.
Total surface area = 42.25 x 6 = 253.5 square cm.
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?
Answers
Answer:
Since Tracy is charged $29 for 250 free minutes so:
For x ≤ 250, f(x) = $29
tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:
For x ≥ 250, f(x) = 29 + 0.35(x - 250)
Solve 12x^2+5x-4=12^2x+6
Answers
Answer:
okay so we need to solve for x.
--
FIRST STEP: 12x^2+5x-4=12^2x+6 would turn into x2 + 5x - 4 = 2x + 6 so it'd have equal bases.
SECOND STEP: move any number with "x" in it to the left side. it ends up as x2 + 3x - 4 = 6
THEN, we use the AC method to eliminate any unnecessary numbers.
you should end up with ( x - 2) (x + 5) = 0
SO, the answer is your third option. ( x = 2, x = -5)
Step-by-step explanation:
Answer:
x = 2, x = -5
Step-by-step explanation:
[tex] {12}^{ {x}^{2} + 5x - 4 } = {12}^{2x + 6} \\ (Bases\: are\: equal\: so\: exponents\: \\will\:also\:be \: equal) \\ \implies \: {x}^{2} + 5x - 4 = 2x + 6 \\ \\ \implies \: {x}^{2} + 5x - 4 - 2x - 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 4- 6 = 0\\ \\ \implies \: {x}^{2} + 5x - 2x - 10 = 0\\ \\ \implies \:x(x + 5) - 2(x + 5) = 0\\ \\ \implies \:(x + 5)(x - 2) = 0 \\ \\ \implies \:x + 5 = 0 \: \: or \: \: x - 2 = 0 \\ \\ \implies \:x = - 5 \: \: or \: \: x = 2[/tex]
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answers
Answer:
[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]
B. 12^18 is the correct answer...Hopes to get BRAINLIEST....Thank you ☺️
The equivalent expression for the given expression from the question is [tex]12^{18}[/tex]
From law of indices[tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]Same principle applies.we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]since they all have the same base, then we can sum up their powers, then we have[tex]12^(3+9+2+2)[/tex][tex]= 12^18[/tex]
Therefore, the equivalent expression is [tex]12^{18}[/tex]
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Please answer all of the problems attached in the pdf. I have fallen behind in studiess and need a little help - thanks
Answers
Answer:
Step-by-step explanation:
Simplify the polynomial by writing each of its term in standard form. 1.5xy^2 *(-4)xyz-4mnk*5m^2 n^3 k
Answers
The simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex][tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
To simplify the given polynomial by writing each of its term in standard form, we need to expand the products and arrange the terms in decreasing order of their degree.
First, let's expand the product [tex]1.5xy^{2}[/tex] *(-4)xyz:
[tex]1.5xy^{2}[/tex] *(-4)xyz = ([tex]-6xy^{3z}[/tex])
Next, let's expand the product -4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex] k:
-4mnk*[tex]5m^{2}[/tex] [tex]n^{3}[/tex]k = ([tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex])
Now, we can write the simplified polynomial by adding the two terms we obtained and arranging them in decreasing order of their degree:
[tex]-20m^{3}[/tex] [tex]n^{4}[/tex] [tex]k^{2}[/tex] - 6xy^3z[tex]6xy^{3z}[/tex]
Therefore, the simplified polynomial by writing each of its term in standard form is:
[tex]-20m^{3}[/tex][tex]n^{4}[/tex] [tex]k^{2}[/tex] - [tex]6xy^{3z}[/tex]
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The answer to: expand and simplify 3x + 2 (x +5)
Answers
Simply: it’s already simplified
my teacher gives me 3$ and buy a sweetie for me she gives me 2 add on and tell me how much chewing gum I ate?
Answers
Answer:
add 3 to 2, then divide the multiple of 3 since it's the largest number. if there are no multiples, split it into a decimal.
3+2:': 1.5%ex ---- you ate 1 piece of chewing gum.
Step-by-step explanation:
36) How old am I if 500 reduced by 3 times
my age is 299?
Answers
Answer:
67
Step-by-step explanation:
500 − 3x = 299
3x = 201
x = 67
What’s the measure of Please help I need this ASAP
Answers
Answer:
the answer is 124 degrees my friend
Show the remainder of this problem as a fraction:
=45 /
Answers
Answer:
45 9/14
That's how you would write it.
Fine angle W……….Inscribed angles….correct answer will get brainliest
Answers
Answer:
40°
Step-by-step explanation:
[tex]\angle UTV [/tex] and [tex]\angle UWV [/tex] are inscribed in the same [tex]\widehat {UTV} [/tex]
Angles inscribed in the same arc are equal in measure.
[tex]\implies m\angle UWV =m\angle UTV [/tex]
[tex]\implies 19x +21\degree =10x +30\degree [/tex]
[tex]\implies 19x -10x =30\degree-21\degree [/tex]
[tex]\implies 9x =9\degree [/tex]
[tex]\implies x =\frac{9\degree}{9} [/tex]
[tex]\implies x = 1\degree [/tex]
[tex]\implies 19x +21\degree= 19(1\degree) +21\degree[/tex]
[tex]\implies 19x +21\degree= 19\degree +21\degree[/tex]
[tex]\implies 19x +21\degree= 40\degree[/tex]
[tex]\implies \huge\orange{\boxed{\boxed{m\angle W= 40\degree}}}[/tex]
A 9. 5-foot pole casts a shadow that is 29 feet long. What is the approximate measure of angle L? 0. 32 rad 1. 24 rad 19. 2 rad There is not enough information to answer this question.
Answers
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A 9.5 feet pole casts a shadow that is 29 feet long.
Perpendicular = 9.5 feet
Base = 29 feet
The angle is given by the tangent. The tangent is given as
[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]
Then we have
[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
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Answer:
A on Edge
Aka 0.32 rad
Step-by-step explanation:
Next one is:
Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.
PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST
Answers
Answer:
no solution
Step-by-step explanation:
There are no values of x that make the equation true.
No solution
Answer:
5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x
Step-by-step explanation:
A Step-by-step means moving slowly from one stage or level to the next
Don’t worry, we’ll take things one step at a time.
Write the word sentence as an equation. Then solve.
The difference between a number c
and 13
is −2
.
Answers
The equation is [tex]c-13=-2[/tex]
The solved equation is 11
First, we must add 13 on both sides
[tex]c=11[/tex]
The answer to the equation is [tex]c=11[/tex]
Answer:
11
Step-by-step explanation:
15 plus a number equals 25
Answers
Answer: 10
Step-by-step explanation: 15+10=25
The statement 15 plus a number equals 25 is equals to 10.
We are given that;
The statement
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the number, we can use the following steps:
Write the equation using a variable for the unknown number: 15 + x = 25
Subtract 15 from both sides: 15 + x - 15 = 25 - 15
Simplify: x = 10
Therefore, by algebra the answer will be 10.
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Need help with question 11- Tysm!
Answers
Answer:
A=½bh
165=15b(½)
multiply both sides
330=15b
divide
22=b
2x + 2x + 2 = 4x + 2
Do this equation has one solution,many solutions,or no solutions?
Answers
Step-by-step explanation:
2x + 2x + 2 = 4x + 2 combine like terms
4x + 2 = 4x + 2 subtract 4x from both sides
4x - 4x + 2 = 4x - 4x + 2
2 = 2 TRUE
CONCLUSION:This equation has an infinitely many solutions. The solution to this equation is any real number.There are 8 green marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answers
Answer:
Total number of marbles in the bag = 8+11?=19
Number of green marbles = 8
Number of blue marbles = 11
Probability of choosing a green marble randomly = 8/19
Step-by-step explanation:
Please mark me brainliest
determine which of the values is a solution of 4t+6≤10
Solution =
not a Solution =
Answers
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
4t + 6 ≤ 10
Simplify the inequality, then we have
4t + 6 ≤ 10
4t ≤ 10 - 6
4t ≤ 4
t ≤ 4 / 4
t ≤ 1
The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.
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