The perimeter of the figure is sum of the side of the figure. If figure is dilated by factor of 3, means that each side of the figure is dilated by 3.
The addition of dilated side to obtain the perimeter results in 3 times the original perimeter.
So new perimeter is 3 times larger than the preimage. Option D is correct.
Solve for x by "Factoring". You MUST show every level of work (like you saw in the lesson) in order to receive full credit.
x^2-x-42
=(x^2+6)+(-7x-42)
=x(x+6)-7(x+6)
=(x+6)(x-7)
keep going to solve for x
The factorization of the quadratic expression 25x² - 4 gives us (x + 6)(x - 7) where; x = -6 or 7
How to factorize a quadratic equation?We are given the quadratic equation as;
x² - x - 42
Now, this quadratic equation can be written as;
x² + 6x - 7x - 42
We can group this using algebra properties to get;
(x² + 6x) - (7x + 42)
Collecting like terms gives us;
x(x + 6) - 7(x + 6)
Thus, the factorization is;
(x + 6)(x - 7)
Thus, the values of x would be;
x + 6 = 0
x = -6
x - 7 = 0
x = 7
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Please help me solve
Whoever answers correctly gets brainliest
For those who can't see the paper:
π²/♾️=9
Answer:
I think the answer will be the infinity sign=1 whole, 1/9
What is the variable terms in 4x-2y+3
The variables of the expression 4x-2y+3 are x and y
What is Variables?
Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Variables include things like age, sex, business revenue and expenses, country of birth, capital expenditures, class grades, eye color, and type of vehicle.
Given expression,
4x-2y+3
Variable is a representation of an unknown numerical value in an equation or algebraic statement by a symbol, typically a letter.
In this expression
4x - 2y + 3
The variable in this expression is x and y
Hence, the variables are x and y
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A restraurant Buys 56 Pounds of Beef at $1.12/ Pound and 24 quarts of Milk at $.90 quart. how Much Money was spent?
Answer:
Step-by-step explanation:
1.12 * 56 = 62.72
.90 * 24 = 21.60
62.72 + 21.60 = $84.32
In the expression 5^2, the 2 represents the _________________.
A: product
B :sum
C: base
D: exponent
In the expression 5^2, the 2 represents the D. exponent.
What is exponent?Exponentiation is a mathematical process that involves the base b and the exponent or power n. An exponent is the result of multiplying a certain number or variable (such as x, y, or z) by itself.
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6⁴ is multiplied by itself four times,
In this case, 5² will be 5 × 5 = 25.
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Given any two arcs, the larger of the arcs is always called a minor arcTrueFalse
When we have two arcs in a circle, one larger and one smaller, one will be called the minor arc and the other the minor arc.
The name of the arc depends on its size, for example, given the following green and yellow arcs, the green, which is smaller, will be the minor arc:
Therefore, the larger arc is always called Major arc, not minor arc.
The statement is False.
Answer: False
there is a stack of cards, each given a different number 1-10, suppose we select a card randomly from the stack, replace it, then randomly select a card. what is the probability that the 1st card is an ODD number and the second card is Less then 5?
Given that:
- A stack of different cards numbered from 1 to 10.
- A card is randomly selected and then replaced. Then another card is randomly selected.
• You need to find the probability that the first card is an odd number.
By definition, Odd Numbers are those numbers that cannot be divided by 2. In this case, these are:
[tex]1,3,5,7,9[/tex]Knowing that the total number of cars is:
[tex]10[/tex]You can set up:
[tex]P(X=ODD)=\frac{5}{10}[/tex]Then:
[tex]P(X=ODD)=\frac{1}{2}[/tex]• You need to find the probability that the second card is less than 5.
Notice that the numbers cards from the stack that are less than 5 are:
[tex]1,2,3,4[/tex]Therefore, you can set up that:
[tex]\begin{gathered} P(X<5)=\frac{4}{10} \\ \\ P(X<5)=\frac{2}{5} \end{gathered}[/tex]• Now you can set up:
[tex]P=\frac{1}{2}\cdot\frac{2}{5}[/tex]Solving the Multiplication, you get:
[tex]\begin{gathered} P=\frac{1\cdot2}{2\cdot5} \\ \\ P=\frac{2}{10} \\ \\ P=\frac{1}{5} \end{gathered}[/tex]Hence, the answer is:
[tex]P=\frac{1}{5}[/tex]I want help answering part c on question 5 to figure out what the measure of angle ROS is
We are given a system of acute angles and are asked to intuitively resolve the different unknown angles while we know some.
Our approach is to create a system of equations that will help us easily separate the different angles as much as possible.
[tex]undefined[/tex]What kind of compound inequality is 1-4x<21 and 5x+2>22?
The compound inequality is 5x + 2 > 22 large i.e., x > 4.
Given,
1 - 4x < 21 and 5x + 2 >22
What is Compound Inequality?
A compound inequality is an inequality that merges two inequalities either by using "and" or "or". Sometimes "and" won't be specifically mentioned but it is understood. For example, 1 < x < 3 is nothing but "x > 1 and x < 3".
To solve the above Inequality:
1 - 4x < 21 and 5x + 2 >22
Now,
1 - 4x < 21
=> 1 - 21 < 4x
=> -20 < 4x
=> x > -5
5x + 2 > 22
=>5x > 20
x > 4
Hence, The compound inequality is 5x + 2 > 22 large i.e., x > 4.
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The measure of <1 is greater than 97° and at most 115°. Graph the possible values of x.
Answer:
The possible values of x are 10, 11, and 12
Step-by-step explanation:
9(10) + 7 = 97
9(11) + 7 = 106
9(12) + 7 = 115
The ordered pair (__, - 5) is a solution of the equation x = 3.
Answer:
(3, -5)
explanation:
the equation only shows x
the ordered pair is made up of (x,y)
Solve the system using a matrix.
-2x - 3y = -26
3x + 4y = 36
([? ],[_])
Help
Answer:
-2x-3y=-26
3x+4y=36
using matrix method
(-2 -3(x = (-26
3 4) y ) 36)
AB=C
multiplying A^-1 on both sides
A^-1AB=A^-1C
IB=A^-1C ........(¡) (AA^-1=I)
determined of A |A|=-8-(-9)=-8+9=1
adjoint of A= (4 3
-3 -2)
now
IB=A-^1C
B=adjoint A/determined of A.C
B=(4 3
-3 -2)/1 .C
B=(4 3 (-26
-3 -2). 36)
B=(-104+108
78-72)
( x (4
y) = 6)
Equating the corresponding elements of equal matrices
:.x=4
:.y=6
so the required value of x and y is 4and6.
Express your answer as a polynomial in standard form.f(x) = x² - 7x + 14 g(x) = 4x - 9 Find: (gof)(x)
While working at a bakery, you are responsible for decorating cakes. You would like to add a string of flowers to the border of a round cake you are decorating. The cake has a radius of 14 inches.
What is the length, to the nearest inch, of the string of flowers you will need?
Answer:
88 inches
Step-by-step explanation:
we need to find the circumference of the cake and the formula is 2rPi
The diameter is 28 and that times pi is about 88
Hopes this help please mark brainliest
Find the variance of the following data. Round the answer to one decimal place.
Solution
For this case we have the following info:
x -4 -3 -2 -1 0 1
P(X) 0.2 0.1 0.1 0.2 0.1 0.3
We can find the variance with this formula:
[tex]\text{Var(X)}=E(X^2)-\lbrack E(X)\rbrack^2[/tex]We can find the expected value like this:
[tex]E(X)=\sum ^n_{i=1}x_iP(X_i)=-4\cdot0.2-3\cdot0.1-2\cdot0.1-1\cdot0.2+0\cdot0.1+1\cdot0.3^{}[/tex]Solving we got:
E(X)= -1.2
The second moment is given by:
[tex]E(X^2)=\sum ^n_{i=1}x^2_iP(X_i)=16\cdot0.2+9\cdot0.1+4\cdot0.1+1\cdot0.2+0\cdot0.1+1\cdot0.3[/tex]Solving we got:
E(X^2)= 5
Solving we got:
[tex]\text{Var(X)}=5-(-1.2)^2=3.56[/tex]Rounded to one decimal place we got:
3.6
a bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls. What is the probability of selecting a blue or green ball on the first draw?
Simplify.n to power of 6 · n to power of 5 ÷ n to power of 4 · n to power of 3 ÷ n to power of 2 · n
The given question is
We will use the order of operations to solve the question
[tex]n^6\ast n^5[/tex]We will add their powers to make the multiplication
[tex]n^6\ast n^5=n^{6+5}=n^{11}[/tex]Now, we will divide n^11 by n^4, to do that we will subtract their powers
[tex]\frac{n^{11}}{n^4}=n^{11-4}=n^7[/tex]Then multiply n^7 by n^3 by adding their powers
[tex]n^7\ast n^3=n^{7+3}=n^{10}[/tex]Then divide it by n^2, to do that subtract their powers
[tex]\frac{n^{10}}{n^2}=n^{10-2}=n^8[/tex]At last, multiply the answer by n
[tex]n^8\ast n=n^{8+1}=n^9[/tex]The answer is n^9
Drag each tile to the correct box. Not all tiles will be used.
Match each function to the correct scenario.
f(x) = 10(1.025)*
f(x) = 7(1.50)*
f(x) = 50(1.07)*
f(x) = 25(1.10)*
f(x) = 15(0.25)*
f(x) = 15(1.25)*
The price of a movie ticket is currently $10 but increases at a rate of 2.5% per
year.
There are currently 15 students with laptops, and the number increases at a
rate of 25% per year.
An animal shelter has 50 dogs, and the number of dogs increases by 7% per
year.
Submit
000
The correct matching of the functions is as follows:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)What are functions?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. Four broad categories can be used to classify different types of functions. One-to-one function, many-to-one function, onto function, one-to-one, and into function—all based on the element.So, matching each function with a correct scenario:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)Therefore, the correct matching of the functions is as follows:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)Know more about functions here:
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The correct question is given below:
Drag each tile to the correct box. Not all tiles will be used.
Match each function to the correct scenario.
f(x) = 10(1.025)*f(x) = 7(1.50)*f(x) = 50(1.07)*f(x) = 25(1.10)*f(x) = 15(0.25)*f(x) = 15(1.25)*(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per
year.
(B) There are currently 15 students with laptops, and the number increases at a
rate of 25% per year.
(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per
year.
Submit
000
Find the hypotenuse where relevant, give your answers to 3 significant figures.
The Pythagorean Theorem states that for Right Triangles:
[tex]c^2=a^2+b^2[/tex]Where "c" is the hypotenuse (the longest side of the triangle), and "a" and "b" are the legs of the Right Triangle.
In this case, you can see that the exercise provides the length of the legs of the Righ Triangle, but you don't know the hypotenuse. Then, you can set up that:
[tex]\begin{gathered} a=6\operatorname{cm} \\ b=8\operatorname{cm} \end{gathered}[/tex]Therefore, you can substitute values into the equation that represents the Pythagorean Theorem and solve for the hypotenuse:
[tex]\begin{gathered} c^2=(6\operatorname{cm})^2+(8\operatorname{cm})^2 \\ c=\sqrt[]{(6\operatorname{cm})^2+(8\operatorname{cm})^2} \\ \\ c=\sqrt[]{100\operatorname{cm}^2} \\ c=10\operatorname{cm} \end{gathered}[/tex]Hence, the answer is:
[tex]c=10\operatorname{cm}[/tex]What is the solution to the equation below? A = 16 B. X2 CE 04
Here, we want to get the value of x
The first thing we have to do here is to isolate the root
We have this as;
[tex]\begin{gathered} \sqrt[]{x}\text{ = 12-8} \\ \sqrt[]{x}\text{ = 4} \\ (\sqrt[]{x})^2=4^2 \\ x\text{ = 16} \end{gathered}[/tex]The graph of a function is shown below . What is true about the function between x=1 and x=5
The true statement about the function between x = 1 and x = 5 is that the function decreases at this interval
How to interpret the graph?The graph of a function represents the given parameter
Also, we have the interval to be
x = 1 and x = 5
From the function, we can see that
f(5) < f(1)
This means that:
The function values decrease from x = 1 to x = 5
The general conclusion of this is that this interval represents a decrement in the values of the function
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if (sin theta + cos theta)^2 =5/2 then sin theta cos theta =?
Given:
[tex](\text{sin}\theta+\cos \theta)^2\text{ = }\frac{5}{2}[/tex]Let's solve for sin θ cosθ
First expand the parenthesis:
[tex]\begin{gathered} (\sin \theta+\cos \theta)^2\text{ = }\frac{5}{2} \\ \\ (\sin \theta+\cos \theta)(\sin \theta+\cos \theta)\text{ = }\frac{5}{2} \\ \\ \sin ^2\theta+\sin \theta cos\theta+\sin \theta\cos \theta+\cos ^2\theta\text{ = }\frac{5}{2} \\ We\text{ know: +}\cos ^2\theta+sin^2\theta=1 \\ ^{}\sin \theta cos\theta+\sin \theta\cos \theta\text{ +}\cos ^2\theta+sin^2\theta\text{ = }\frac{5}{2} \\ 2\sin \theta cos\theta+1\text{ = }\frac{5}{2} \end{gathered}[/tex][tex]\begin{gathered} \\ 2\sin \theta\cos \theta\text{ + 1 = }\frac{5}{2} \\ \\ 2\sin \theta\cos \theta\text{ = }\frac{5}{2}-1 \\ \\ 2\sin \theta\cos \theta=\text{ }\frac{3}{2} \\ \\ \sin \theta\cos \theta\text{ = }\frac{3}{2}\ast\frac{1}{2} \\ \\ \sin \theta\cos \theta\text{ = }\frac{3}{4} \\ \\ \end{gathered}[/tex]ANSWER:
[tex]\frac{3}{4}[/tex]Luke ate a snack with 91 calories If the chips he ate were 41.2 calories were in the rest of his snack?
We have
91 calories in total
he ate 41.2 calories
we need to subtract
91 calories - 41.2 calories= 49.8
There are 49.9 calories in the rest of this snack
The perimeter of a rectangle is 260 feet find the length and width if the length is an even integer in the width is 5 times the next consecutive even integers
The rectangle is 20 feet long and 50 feet wide.
Let the length be x. So, the next consecutive integer will be (x + 2). Width of rectangle = 5(x + 2). As per the formula, perimeter of rectangle is 2(length + breadth).
Keep the values in formula to find the value of x.
2(x + 5(x + 2)) = 260
Firstly solving the inner bracket
2(x + 5x + 10) = 260
Now again opening the bracket
2x + 10x + 20 = 260
Performing addition
12x = 260 - 20
Performing subtraction
12x = 240
x = 240 ÷ 12
Performing division
x = 20
Length of rectangle = 20 feet
Width of rectangle = 2(20 + 5)
Width of rectangle = 2×25
Width of rectangle = 50 feet
So, the length and width of rectangle is 20 feet and 50 feet.
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f(x)=x^2-2x+ 3; d(x) = X-4
Answer: A1:F-IF.A.1. A1:F-IF.A.2. A1:F-IF.A.3. A1:F-IF.B.4. A1:F-IF.B.5 ... Find all the zeros of the polynomial y = x 3 - 2x 2 - 3x. A. -3, 1.
Step-by-step explanation:
I need help with one of my statistics homework questions?
Variance = 209.89
Standard Deviation=14.4875
Explanation:
What’s the correct answer answer asap
Answer: its Protein Channels sir
Step-by-step explanation:
Use the following image to answer the question.CBFGHHow would you identify IE?
Given:
Center of circle = Point O.
Let's use the image to identify line IE.
Since E is the center of the circle and point I is on the circumference of the circle, line IE starts from the point I and goes to the center of the circle, point E.
Hence, we can say line IE is the radius of the circle.
The radius of a circle can be said to be the distance from the center of a circle to any point on the circumference of the circle.
Therefore, IE is the radius of the circle.
• ANSWER:
Radius
A cereal box says that now it contains 20% more. Originally, it came with 18.5 ounces of cereal. How much cereal does the box come with now? Explain your reasoning.
Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.
20% = 0.20
20%(18.5)
0.20(18.5)
3.7
Since this is a 20% increase, we will add this to the original value.
18.5 + 3.7 = 22.2
How to solve -14+(-31)
Answer:
-45
Explanation:
-14 + (-31)
= -14 - 31
= -45
