Answer:
Reflection
Step-by-step explanation:
A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and form as the original, but it faces the opposite way. The opposing signs are created from the coordinates. Changes in posture during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.
can someone help me with this
If we solve for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
What is the linear equation with two variables ?
A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.
The given equation is a form of linear equation with two variables.
The equation is 16x + 28y = 112.
From graph it is clear that coordinates of Y are Y(1 , -1).
So , let's check for the value of x by putting the values of y in given expression.
i.e.,
The resulted equations will be :
16 x + 28 (1) = 112
or
16x + 28(-1) = 112
So ,
16 x + 28 = 112 --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1
16x - 28 = 112 --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2
The values of x will be :
x = 84 / 16 = 21 / 4
or
x = 140 / 16 = 35 / 4
The coordinates of X will be X([tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
Therefore , solving for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
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two students in mrs.johnson's preschool class are stacking blocks,are 4 cm height, and maddy's blocks are 9 cm high. how tall will their stacks be when they are the same height for the first time.
36 cm tall will their stacks be when they are the same height for the first time.
Given,
Two students in Mrs. Johnson's preschool class are stacking blocks:
The height of Reece's block = 4 cm
The height of Maddy's block = 9 cm
We have to find the height of the stacks when they are same height for the first time.
Here,
We have to find the least common multiple.
Least Common Multiple (LCM):
The smallest number that is a multiple of both of two numbers is called the least common multiple.
So here,
We have to find the least common multiple of 4 and 9.
Here, the least common multiple of 4 and 9 = 36
Then,
36 cm tall will their stacks be when they are the same height for the first time.
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rlly need helpp plsssss
Answer: Equation is x+45 = 90
It solves to x = 45
Explanation:
The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.
To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.
As a check x+45 = 45+45 = 90.
Write the equation of the line in point slope form that passes through the point (-8,-3) and (2,2)
Answer:
i think y=1/2x+1 or y+3=1/2 times (x+8)
Step-by-step explanation:
Geometry I need help with finding x on triangles
Answer: ...
Step-by-step explanation: Find the hypotenuse x. Suppose angle A = 50°, angle B = 60°, and angle C = x are the angles of a triangle. ABC. By using the angle sum property we can find the value of x. angle A + angle B + angle C = 180 degrees. Solve for x in fractions, we simply do the cross multiplication and simplify the equation to find x.
4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of68 (1 point),O $100,79600$1.000 76.00$261896.00$5226,192.00
His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.
The total number of years Demarcus will work is 68 - 24 = 44 years.
Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:
44 years × 52.1429 weeks/year = 2294.2876 weeks
We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:
2294.2876 / 2 = 1147.1438 payments
Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:
1147.146 payments × 2456 per payment = $2,817,385.1728
Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.
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-27 = -w/5 solve for w and simplify as much as possible and put the anwser
Answer:
w = 135
Step-by-step explanation:
-27 = -w/5
multiply both sides by 5:
5(-27) = 5(-w/5)
-w = 135
divide both sides by -1:
-w/-1 = 135/-1
w = 135
The value of w is 135 in the equation -27 = -w/5 .
We are provided with the equation mentioned below:
-27 = -w/5
As per the question we have to simplify and solve this above mentioned equation. To simplify this provided equation we will follow the steps mentioned below:
-27 = -w/5 equation 1
On multiplying both the sides of equation 1 with 5, we will get
(-27) × 5 = (-w/5) × 5
- 135 = -w equation 2
On multiplying both the sides of equation 2 with -ve sign, we will get
w = 135
Thus, we can write that the value of w is 135.
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I add six to eleven, and get five. Why is this correct?
Answer:
because the six is a negative number (-6)
What is the least common multiple of 3, 5, and 10?
How long will it take for a $4000 investment to grow to $5780 at an annual rate of 4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredths.
The working equation when dealing with problems regarding compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.
The problem compounds quarterly, hence, we have n = 4.
We derive the working equation to solve for t, as follows:
[tex]\begin{gathered} \frac{A}{P}=(1+\frac{r}{n})^{nt} \\ \ln (\frac{A}{P})=\ln ((1+\frac{r}{n})^{nt}) \\ nt\ln ((1+\frac{r}{n}))=\ln (\frac{A}{P}) \\ t=\frac{\ln (\frac{A}{P})}{n\ln ((1+\frac{r}{n}))} \end{gathered}[/tex]Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get
[tex]\begin{gathered} t=\frac{\ln (\frac{5780}{4000})}{4(\ln (1+\frac{0.04}{4}))} \\ t=\frac{\ln (1.445)}{4(\ln (1.01))} \\ t=\frac{0.368}{4(0.00995)} \\ t\approx9.25 \end{gathered}[/tex]Therefore, the $4000 investment grows to $5780 in 9.25 years.
20 POINTS!!! PLEASE I NEED HELP STAT!!!
Francisco is moving and must rent a truck. There is an initial charge of $45 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C, in terms of m, representing the total cost of renting the truck if Francisco were to drive m miles.
Answer:
0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5
Step-by-step explanation:
Complete the boxes in the decimal
grid below.
0.345
0.348
help meeeeeeeeeeeeeeeeeee pleaseeee!!
Answer: The answer is y
Step-by-step explanation:
Given p(x) = -4(x-15)+2, what is the value of p(7) ?
Step-by-step explanation:
Given the figure below, find the values of x and z.
(7x + 73)°
(10x + 22)
In the given figure,
(7x + 73) + (10x + 22) = 180 ........(Because they are linear pair)
⇒ 7x + 73 + 10x +22 = 180
⇒ 17x + 95 = 180
⇒ 17x = 180-95
⇒ 17x = 85
⇒ x = 85/17
⇒ x = 5
Now, 7x +73 = z ....................(Because they are vertically opposite angles)
⇒ 7 x 5 + 73 = z
⇒ z = 35 + 73
⇒ z = 108°
What are vertically opposite angles and linear pairs?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. These are referred to as vertical angles at times.A linear pair of angles in geometry is a pair of neighboring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.
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Question on the image please help
Answer: 0.195
Step-by-step explanation:
The function f(x) is shown below.
X
-6
اس
-3
5
8
f(x)
1
2
5
3
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
O-6
O-3
02
O 5
The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.
If g(x) is the inverse of f(x), 2 is the value of f(g(2)).
What is meant by inverse function?An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.
Given
[tex]&x \rightarrow f(x) \\[/tex]
[tex]&-6 \rightarrow 1 \\[/tex]
[tex]&-3 \rightarrow 2[/tex]
[tex]$$g(x)=f^{-1}(x)[/tex] inverse
To find the value of f(g(2)).
For two functions f(x) and g(x) where f(x) and g(x) are inverse; f(g(x))=x
So, by comparison: f(g(2)) = 2.
Therefore, the inverse of the function f(g(2)) = 2.
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With indices , solve 32⅕
Answer:
Step-by-step explanation:
32=2⁵
therefore=2⁵×⅕
=2
Match the following items.1.(-14) + 81 = 81 + (-14)multiplicative inverse2. • = 1additive identity3.101 + (29 + 417) = (101 + 29) + 417associative property of addition4.(24 + 15) = • 24 + • 15commutative property of addition5.-72 + 0 = -72distributive property
Given:
[tex]\begin{gathered} (1)\rightarrow(-14)+81=81+(-14) \\ \\ (2)\rightarrow\frac{13}{17}\cdot\frac{17}{13} \\ \\ (3)\rightarrow101+(29+417)=(101+29)+417 \\ \\ (4)\rightarrow\frac{1}{3}(24+15)=\frac{1}{3}\cdot24+\frac{1}{3}\cdot15 \\ \\ (5)\rightarrow-72+0=-72 \end{gathered}[/tex]Find-:
Match the item
Explanation-:
(1)
The commutative property of addition is:
So the commutative property of addition is:
[tex](-14)+81=81+(-14)[/tex](2)
The multiplicative inverse is:
So value is:
[tex]\frac{13}{17}\cdot\frac{17}{13}=1[/tex](3)
Associative property of addition
So the value is:
[tex]101+(29+417)=(101+29)+417[/tex](4)
Additive identity.
The property of additive identity is:
[tex]A+0=A[/tex]So the value is:
[tex]-72+0=-72[/tex](5)
The distribution property is:
[tex]a(b+c)=ab+ac[/tex][tex]\frac{1}{3}(24+15)=\frac{1}{3}.24+\frac{1}{2}\cdot15[/tex]what is a trigonometrical complex number
A complex number z = a + bi has the trigonometric form z = r(cosθ + I sinθ ), where r = |a + bi| is z's modulus and tanθ = b.
the angle generated by the complex number on a polar graph having one real axis and one imaginary axis. This may be calculated using the right angle trigonometry for the trigonometric functions. Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).
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wht is the ending balance of R341000 at 4% for 3 years?
The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.
What is interest?
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).
Information given in the question,
Principle amount = 341,000
Time period = 3 years
Interest rate is 4 % which can be written as 0.04 in decimals.
We can calculate the ending balance using this formula formula for simple interest:
[tex]S.I. = Principle \times Interest \times time[/tex]
Putting the values given in the question
S.I. = (341000)(0.04)(3)
S.I. = 40,920
Interest is 40,920.
The ending balance is the sum of Principle amount and Interest. So,
ending balance = 341000+40920
ending balance = 381920
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A chef had to fill up 4⁄6 of a container with mashed potatoes. He ended up using 3 2⁄4 pounds of mashed potatoes. How many pounds would he use if he had to fill up the entire container?
5.25 pounds of mashed potatoes is required to fill the container.
How Many Pounds to Fill the ContainerIn the question, we were told the container was 4/6 filled and the chef used 3 2/4 pounds which is equal to 14/4 pounds of mashed potatoes.
In doing this, we are calculating the volume of the container.
Let's equate this and find how many pounds will fill the container.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\ 1 fill = x pounds[/tex]
Let's cross multiply both sides and solve for x.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\1 = x pounds\\x = \frac{1 * \frac{14}{4} }{\frac{4}{6} }\\x = \frac{21}{4} = 5.25 pounds[/tex]
To fill the container, we need 5.25 pounds of mashed potatoes.
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A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. how much will ted pay for 2 t-shirts and 4 pairs of shorts?
A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4
A t-shirt and a pair of shorts cost $29.75 together.
jason paid $228.55 for 12 t-shirts and 5 shorts.
how much will ted pay for 2 t-shirts and 4 pairs of shorts
let T denote for t shirt and S denote for shorts
then T+ 2S=29.75
12T+ 5S=228.55
solving these equation
multiply by 12 in 1 , we get
12T+ 24S= 357
12T+ 5S=228.55
substract these two equation we have
19S=128.45
S= 6.76
we can substitute in 1 we get
T + 13.52 =29.75
T=16.23
Hence , 2T + 4S = 32.46+27.04=59.4
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find the range of each function:
f(x) = 2^x
[tex]f(x) = - 5 \leqslant x \leqslant 4[/tex]
please give me explaination
The range of the exponential function f(x) is 1 / 32 ≤ f(x) ≤ 16.
How to find the range of an exponential function
Exponential functions are monotonous functions, that is, functions that are increasing or increasing but never both. Functions are defined by the following three features:
Domain - Set of input variables.Range - Set of output variables.Relation - Relations between domain and range.In this problem we find a function with an input variable (x) and an output variable (f(x)). Since exponential functions are monotonous functions we can determine the bounds of the range by the function evaluated at x = - 5 and x = 4. Thus:
f(- 5) = 2⁻⁵
f(- 5) = 1 / 2⁵
f(- 5) = 1 / 32
f(4) = 2⁴
f(4) = 16
The range of the function f(x) = 2ˣ for - 5 ≤ x ≤ 4 is 1 / 32 ≤ f(x) ≤ 16.
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-11+?=15
?-(-3)=5
?+(-4)=7
?+-8=-3
-2+?=1
?-12=-4
Answer:
Step-by-step explanation:
-11+?=15
?=15+11
15+11= 26
So, -11+26=15.
?-(-3)= 5
?+3=5
?=5-3
?=2
So, 2-(-3)=5.
?+(-4)=7
?-4=7
?=7+4
?=11
So, 11+(-4)=7.
?+-8=3
?=3+8
?=11
So, 11+-8=3.
-2+?=1
?=1+2
?=3
So, -2+3=1.
?-12=-4
?=-4+12
?=8
So, 8-12=-4.
PLEASE HELP!
Keisha is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than10 square inches. (Keisha doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign.
The base length of triangle for the store is b ≤ 5in.
What is triangle?Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.
A polygon also includes a triangle.
Triangle's characteristics:
A triangle's internal angles are always added together to equal 180 degree.Any two triangle sides added together will always have a length larger than the third side.Half of the product of a triangle's base and height makes up its surface area.Given:
height of triangle(h)=4in
Area of triangle(A)≤ 10in²
let base length of triangle be b
Area of triangle is given by:
Area = (1/2) × base × height
(1/2) × b × 4 ≤ 10
2b ≤ 10
b ≤ 5 in
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Select the values that make the inequality −d≥7 true. Then write an equivalent inequality, in terms of d. -12 -8 -7.1 -7 -6.9 -6 -2 0 2 6 6.9 7 7.1 8 12
The values of the inequality -d ≥ 7 are -12, -8 and -7.1
The inequality is
-d ≥ 7
The inequality is the equation that shows the relationship between the numbers or algebraic expression. The relationship maybe greater than, greater than or equal, less than, less than or equal. In inequality there is no equal relationship.
The given inequality is
-d ≥ 7
Divide both sides of the given inequality by -1
-d/-1 ≥ 7/-1
d ≤ -7
Therefore the value of d is less than -7
So the values are -12, -8 and -7.1
Hence, the values of the inequality -d ≥ 7 are -12, -8 and -7.1
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PLEASE ANSWER ASAP!!
A) The end behavior of the polynomial graph is that;
as x → -∞, y → -∞, and as x → ∞, y → ∞
B) The given graph polynomial represents an even degree polynomial.
What is the End behavior of the graph?The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.
Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.
In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.
Thus, we can say that option D is correct.
B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.
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Write a recursive formula for a_na
n
term of the sequence 13, 3, -7, -17,
The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.
How to illustrate the information?It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:
= a + (n - 1)d.
where a = first term = 13
d = common difference = 3 - 13 = 10
n = number of terms
Therefore, the recursive formula will be:
a + (n - 1)d.
= 13 + (n - 1)10
= 13 + 10n - 10
= 3 + 10n
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I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
Answer:
B
Step-by-step explanation:
12 multiplied by 5 is 60 and 10 multiplied by 6 is 60. which is the lowest that they both will meet