The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 5z + 5 - 6z
Simplify the expression, then we have
⇒ 5z + 5 - 6z
⇒ 5 - z
The expression 5z + 5 - 6z is equivalent to the expression 5 - z.
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PLEASE WRITE VALID ANSWER. WILL GIVE BRAINLIEST TO REAL ANSWERS
20 POINTS
Write the equation of a linear function and define one point that lies on this function. Write the equation of your function translated 4 units to the left and 5 units down. What are the coordinates of your new point?
The translated function is:
⇒ y = 2x + 7
And, The translated point is (-3, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Let The original linear function with coordinate is,
⇒ y = 2x + 4 ;
The point is, (1, 6)
Now, To find a point on that line, we can just evaluate the function in x = 1, we will get:
y = 2*1 + 4
y = 2 + 4
y = 6
So, we have the point (1, 6)
Now, we want to translate it 4 units to the left and 5 units down.
So, To translate it 4 units to the left, we need to add 4 to the argument.
⇒ y = 2(x + 4) + 4
And, to translate it 5 units down, we just need to subtract 5, we will get:
⇒ y = 2(x + 4) + 4 - 5
Thus, we can simplify this to get;
⇒ y = 2x + 2×4 + 4 - 5
⇒ y = 2x + 8 + 4 - 5
⇒ y = 2x + 7
Here, The new coordinates of the point are the same as the last ones, but we subtract 4 to the x-value and 5 to the y-value:
⇒ (1 - 4, 6 - 5) = (-3, 1)
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james and terry open a savings account that has a 2.75% annual interest rate compounded monthly. the initial deposit was $5,000 how much will be in the account after 20 years?
The total amount after 20 years will be $ 1,60,110.6741.
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
Annual interest rate is 2.75%. Hence, the monthly interest rate is 2.75/12
The amount will be compounded (20*12)=240 times.
Every month they deposits $500.
In the first month that deposited $500 will be compounded 240 times.
It will be 500 [1+(2.75/1200) ] ^240
In the second month $500 will be deposited again, this time it will be compounded 239 times.
It will give 500 [1+(2.75/1200) ] ^239
Hence, the total after 20 years will be
500 [1+(2.75/1200) ] ^240 + 500 [1+(2.75/1200) ] ^239 + ..........+500 [1+(2.75/1200) ] ^1 = 1,60,110.6741
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a bag contains 80 pieces of candy.Benjamin takes 1/4 of them Clara takes 3/8 what fraction of candy was taken from the bag and how many pieces of candy are left
Answer:
I know the answer
Step-by-step explanation:
go solve it by yourself, be independent
Find a number in the interval -1
After 5 hours of flight, how much farther would the fastest bird have traveled than the slowest bird?
Answer: The crow would have traveled 40 miles per hour faster than the seagull after 5 hours of flight
Step-by-step explanation: (crow) 24 times 5 is 120 (seagull) 16 times 5 is 80, so it’s 120 - 80 which is 40
GEOMETRY PLEASE HELP
The Venn diagram shows that there are 10 students in the Yearbook Club (Y).
n Find the number of students in the set y' s?The Venn diagram shows that there are 16 students in the Yearbook Club and 12 students on Student Council.This means that there are 28 students in Mr. Connelly's class (C).The set Y' s, which is the set of students who are in Mr. Connelly's class but not in the Yearbook Club or Student Council, is made up of the students who are not in either group.This set can be found by subtracting the number of students in the Yearbook Club (16) and the number of students in Student Council (12) from the total number of students in Mr.Connelly's class (28). The set Y' s therefore contains 28 - 16 - 12 = 0 students.This means that there are no students in Mr. Connelly's class who are not in either the Yearbook Club or Student Council.To learn more about The Venn diagram refer to:
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1. Trey was playing a board game in which he
purchased 8 houses. He paid $100 for each
house. Which equation can be used to find m,
the total amount of money he spent on buying
houses?
Answer:
8x100 = m
Step-by-step explanation:
8x100 is an equation to find m, because 100 each, and there are 8.
8x100 = m
A strategy from learning science for retaining material is to write a summary of things you have learned and to note how this new information relates to previous concepts. Take a few moments to answer the following questions or write a summary of what you have learned from this section. a. How can you recognize a quadratic equation? b. What methods can you use to solve a quadratic equation? Explain each method. c. How many solutions can a quadratic equation have? d. What is the discriminant of a quadratic equation, and what does it determine? e. Write the formulas that you can use to solve application problems. f. How can you connect the concepts in this section to previous topics you have learned?
The information related to the quadratic equation is given below.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
A polynomial with degree 2 is called a quadratic equation.
It is in the form of ax² + bx + c
So,
We can recognize a quadratic equation if the highest power of the equation is two.
Now,
The methods that can be used to solve are:
Middle-term factorization.
Example:
x² + 2x + 1
x² + (1 + 1)x + 1
x² + x + x + 1
x(x + 1) + 1(x + 1)
(x + 1) (x + 1)
Using the determinant formula.
ax² + bx + c
x = [-b ± √(b² - 4ac)] / 2a
Now,
The number of solutions is equal to the degree of the quadratic equation.
Now,
The discriminant of a quadratic equation is [-b ± √(b² - 4ac)] / 2a.
Where ax² + bx + c is the equation.
The discriminant determines the solutions.
Thus,
The information related to the quadratic equation is given above.
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A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is 130 ft long. The barrel has a circular base that turns 26 times in being rolled up the
ramp. What is the diameter of the circular base?
Use the value 3.14 for 1. Round your answer to the nearest tenth. Do not round any intermediate steps.
The diameter of the circular base is approximately 1.57 ft.
What is the circumference of a circle?
The circumference of a circle is the total length of the arc of a circle. It is also known as the perimeter of the circle. The distance from the center to any point on the circle is called the radius of the circle.
If the barrel has a circular base and turns 26 times in being rolled up the ramp, that means the circumference of the circular base is 26 times the distance the barrel travels up the ramp. We know that the distance the barrel travels up the ramp is 130 feet, so we can set up the equation:
26 * C = 130 ft
where C is the circumference of the circular base.
To find the diameter, we know that the circumference of a circle is equal to pi times the diameter, or C = pi * D. So we can substitute this into the equation above:
26 * pi * D = 130 ft
To find the diameter, divide both sides by 26 * pi:
D = 130 ft / (26 * pi)
Using the value of pi = 3.14, we can calculate the diameter of the circular base:
D = 130 ft / (26 * 3.14) = 130 ft / 82.44 = 1.57 ft
Hence, The diameter of the circular base is approximately 1.57 ft.
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ANSWER ASAP PLEASE I WILL GIVE 50 POINTS
Which of the following tables represents a linear relationship that is also proportional?
x −1 0 1
y −3 −2 −1
x −2 0 2
y −3 0 3
x −2 0 2
y 0 2 3
x −2 0 2
y 2 4 6
A table which represents a linear relationship that is also proportional include the following:
B. x −2 0 2
y −3 0 3
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x and y represents the variables.k represents the constant of proportionality.In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = -3/-2 = 3/2
Constant of proportionality (k) = 3/2.
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Answer: The answer is B
Step-by-step explanation: I took the test and got it right
m/ABD is a straight angle.
m/CBD = 8x+16°
m/ABC = 6x - 60°
Find m/ABC:
Answer:
Solution in attached photo.
Step-by-step explanation:
SolutionThe solution is attached as a photo. This Question tests on the concept of Angle Properties.
Properties required:
1) Angles in a straight line sums up to 180°.
is the binomial 7+1 equal to the trinomial 3x^2-2x+1
Answer:
Step-by-step explanation:
Nope.
Also, 7 + 1 is a monomial as it is equal to 8 which is a monomial.
Graph h(x)=7sinx .
Use 3.14 for π .
Answer:
To graph h(x) = 7sin(x), we need to plot a set of points that satisfy the equation. To do this, we can pick several values of x, substitute them into the equation and find the corresponding y values.
We can use the fact that h(x) = 7sin(x) = 7sin(x + 2π) = 7sin(x + 4π) = .... = 7sin(x + 2nπ) , for any integer n.
The graph of h(x) = 7sin(x) is a sine function with an amplitude of 7 and a period of 2π.
It oscillates between -7 and 7 and the graph will look like a wave that oscillates between y = -7 and y = 7.
It has a horizontal shift of 2π to the right.
It is not possible to graph the function here but you can easily plot it using a graphing calculator or a program like Desmos.
Step-by-step explanation:
A soccer field is 115 yards (yd) long by 70 yd wide.
What is the length of the diagonal of a soccer field? Round your answer to the nearest tenth.
Answer:
135.3 yd
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the length of the diagonal (c) is equal to the sum of the squares of the length (a) and the width (b) of the rectangle. So the formula is c = √(a^2 + b^2)
Given the length of the soccer field is 115 yd and the width is 70 yd, we can use the formula:
c = √(115^2 + 70^2)
c = √(13225 + 4900)
c = √(18125)
c = 135.3 yd
Rounding the answer to the nearest tenth we get 135.3 yd
Therefore, the length of the diagonal of a soccer field is 135.3 yd.
In order for an initial investment of P dollars to mature to S dollars after two years when the interest is
compounded annually, an annual interest rate of r=
S
- 1 is required. Find r if P = $3,240,000 and S = $3,779,136.
1 P
The formula that relates the initial investment, P, the final value, S, and the annual interest rate, r, is:
Compounding: how would you define it?
When interest is applied to a principal amount as well as interest that has already been paid, this process is known as compounding. Therefore, compounding can be thought of as interest on interest, which has the effect of magnifying returns to interest over time, or the so-called "wonder of compounding."
S = P(1 + r)^2
We are given that P = $3,240,000 and S = $3,779,136, so we can substitute these values into the equation and solve for r:
3,779,136 = 3,240,000(1 + r)^2
3,779,136/3,240,000 = (1 + r)^2
1.17 = (1 + r)^2
To find r, we need to take the square root of both sides and then subtract 1 from each side:
√(1.17) = √((1 + r)^2)
1.08 = 1 + r
r = 0.08 or 8%
So the annual interest rate required for an initial investment of $3,240,000 to mature to $3,779,136 after two years when the interest is compounded annually is 8%.
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Ibrahim owns a rectangular shaped property having a width of 1.9 miles and length of 3.6 miles. Once a week, Ibrahim walks around the perimeter of his property at a pace of 4.2 miles per hour. How many hours does it take Ibrahim to walk around the perimeter of his property once?
Answer:
about 2.62 hours
Step-by-step explanation:
add 1.9 and 3.6 twice
11
divide the parameter by 4.2
Melissa is going shopping. She has no more than $55.00 to spend on
new clothes. She wants to buy a pair of pants for $19.95 and some t-
shirts that cost $9.50 each.
Write an inequality and solve it for the number of shirts that Melissa
can buy.
Answer:
3
Step-by-step explanation:
She has no more to spend than $55, which means the starting equation is:
x<=55.
She wants to buy ONE pair of pants, which means that you have to subtract 55 by 19.95.
55-19.95=35.05;
x<=35.05;
Each t-shirt costs 9.5 each, which means the equation is now
9.5x<=35.05
Which, if you divide by 9.5 on both sides, is
x<=3.68947368.
So, at most, she can buy 3 shirts.
the stingray tank contains 6 inches of water. the Shark tank is empty. each hour, 4 inches of water are added to the stingray tank and 6 inches are added to the shark tank. will the water in the shark tank ever be as deep as the water in the stingray tank
Yes, after 3 hours the level of water in both tanks will be equal.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the stingray tank contains 6 inches of water. the Shark tank is empty. each hour, 4 inches of water are added to the stingray tank and 6 inches are added to the shark tank.
The time at which both the tanks will have the same level will be calculated as;-
4x + 6 = 6x
6x - 4x = 6
2x = 6
x = 3 hours
Level = 6x = 6 x 3 = 18 inches
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How to solve the problem of equivalent fractions
1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively
What is Equivalent Fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
1/2 = /6 = /8.
a. Multiply numerator and denominator by 3 for equivalenting the equation /6
Therefore,
3*3/6*3
=9/18
=1/2
therefore:1/2=1/2.
b. Multiply numerator by 4
Therefore,
4/8
=1/2.
Therefore:
1/2=1/2.
1/2=1/2=1/2.
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4. Sasha has seven ten dollar bills and 5 one dollar bills. She plans to get some things out of
a vending machine (that does only takes one dollar bills) with a friend later, so she
exchanges some of her tens for ones. If Sasha now has 15 one dollar bills, how many ten
dollar bills does she have? How do you know?
Answer: 6 ten dollar bills
Step-by-step explanation:
At the start Sasha had seven ten dollar bills and 5 one dollar bills. It then says she has 15 one dollar bills after the exchange, she exchanged one ten dollar bill for 10 one dollar bills adding up to 15 one dollar bills and six ten dollar bills.
A house has decreased in value by 24% since it was purchased. If the current value is $209,000, what was the value when it was purchased?
Answer:
A house has decreased in value by 24% since it was purchased, that means the current value is 24% less than the value when it was purchased.
To find the original value, we can use the following formula:
Original Value = Current Value / (1 - (Decrease % / 100))
where the decrease is expressed as a decimal, thus 24% is 0.24
Original Value = $209,000 / (1 - 0.24)
Original Value = $209,000 / 0.76
Original Value = $275,000
So the original value when it was purchased is $275,000
-4(a+2)-1 = -5a PLEASE SHOW STEPS
Answer:
a = 9
Step-by-step explanation:
Given:
-4(a+2)-1 = -5a
Solve:
-4(a+2)-1 = -5a << Distribute {-4 × a = -4a } {-4 × 2 = -8}
-4a - 8 - 1 = -5a << Subtract {-8 - 1 = -9}
-4a - 9 = -5a << Add -4a to both side {-4a + -4a = } {-5a + -4a = -1a}
-9 = -1a << Divide both sides by -1 {-9/-1 = -1a/-1}
a = 9
RevyBreeze
Select the classification that best identifies 0
A) integer, rational number, real number
B) integer, whole number, rational number, real number
C) integer, natural number, whole number, rational number, real number
D) irrational number, real number
Answer: either b or c
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
PLS HELP!! Evaluate each arithmetic series described and show all work!!!
the sum of the term in the arithmetic series will be 3500.
What is arithmetic series?
When there are identical differences between every two next words, the series is known as an arithmetic progression (AP). There is a chance to find a formula for the nth term of the AP using this kind of development.
An arithmetic series can be described in one of two ways:
A sequence known as an arithmetic progression has identical differences between each pair of terms in the sequence.
Arithmetic progressions are sequences where each term, with the exception of the first, is created by multiplying the previous term by a predetermined amount.
a1 =20
an = 260
So the sum of the series will be (an+a1)n/2
=(20+260)25/2
=25*280/2
=25*140
=3500
Hence the sum of the term in the arithmetic series will be 3500.
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(Look at picture) and ty btw <3
An inequality system that reflects this circumstance is C. 8x + 12y 240 since the dyers must produce at least 22 rugs in fewer than 240 hours.
How to determine inequality?Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.
The small-size rug and medium-size rug would first receive the following variable assignments:
Give x the rug in the small size.Let y be the area rug of medium size.When the problem is converted into an equation, we get;
It takes 8 hours to dye a small-sized rug: 8 times.
12 hours are needed to colour a medium-sized rug.
Given that the dyers must produce at least 22 carpets in less than 240 hours, the following system of inequality best captures the situation:
8x + 12y < 240.
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function f(x) is shown on the graph. On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6). What is f(0)? 0 only –6 only –2, –1, 1, and 3 only –6, –2, –1, 1, and 3 only
The described graph crossing the y-axis at (0, negative 6) has f(0) at
A. only –6How to find the y - interceptThe y - intercept is calculated by substituting the value of x as zero.
For a graph, when the curve passes through the y axis, the point is the y intercept.
On a coordinate axis the points are represented using ordered pairs of the form (x, y). For an equation, this is represented as f(x) = y
Because of this, the points (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0) are f(-2) = 0, f(-1) = 0, f(1) = 0, and f(3) = 0, are the x intercepts
The y intercept in the problem is (0, negative 6), represented in equation form as
f(0) = -6
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Given APQR - ASTU, Solve for x and find the perimeter of triangle STU. Select the two correct answers.
Perimeter= 210.9
X=76.5
X=66.6
X=59.6
Perimeter= 175
Perimeter= 195
Therefore , the solution of the given problem of triangle comes out to be 195 is the perimeter of ΔSTU .
What exactly is a triangle?The fact that a triangle contains 4 elements or segments qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a pyramid with teams A, B, or C. Euclidean geometry produces a single flight and square because once sides are not collinear. It is a polygon if a component has three parts and three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.
Here,
Given:
ΔPQR - ΔSTU
Perimeter of ΔPQR = =335
To find the perimeter of ΔSTU
=> 105/ x = 119/63
=> x = 105 * 63 / 119
=> x = 59.58 or 59.6 (approx)
So , the perimeter of ΔSTU
=> 59.6 + 71.4 + 63
=> 195
Therefore , the solution of the given problem of triangle comes out to be
195 is the perimeter of ΔSTU .
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Which expression is equivalent to 2^8? A) 8^2 B) 2•8 C) 2^4 • 1^4 D) 2^4 • 2^2 E) 2^4 • 2^4
Answer:
E) [tex]2^{4} * 2^{4}[/tex]
Step-by-step explanation:
By properties of exponents, when multiplying two numbers that have the same base, you can add the exponents. Therefore:
[tex]2^{8}=2^{4} * 2^{4}\\2^{8}=2^{(4+4)}\\2^{8}=2^{8}[/tex]
Please help me find the perimeter
The perimeter of one of the equilateral triangles in the window is equal to 12 feet.
How to evaluate for the perimeter of the equilateral triangleAn interior angle of an equilateral triangle measures 60°, hence by considering the right triangle LNX and the sine of angle X = 60°, we will derive one of the side lengths of the equilateral triangle as follows:
sin 60° = 2/XL {opposite/hypotenuse}
1/2 = 2/XL {sin 60° = 1/2}
XL = 2 × 2 {cross multiplication}
XL = 4 feet
All side length of an equilateral triangle are equal so;
one of the triangles perimeter = 3 × 4 feet
one of the triangles perimeter = 12 feet
Therefore, the perimeter of one of the equilateral triangles in the window is equal to 12 feet.
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Find 133.5% of 413. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Determine the two consecutive multiples of 10 that bracket 551
551 is between 550 and 560
555 is the midpoint between 550 and 560
As illustrated on the number line, 551 is less than the midpoint (555)
Therefore, 551 rounded to the nearest ten = 550
551 rounded to the nearest ten with a number line
Answer: 551.36
Step-by-step explanation:
“Of” means you have to multiply so multiply 133.5 and 413 and you will get 55,135.5 then you move the decimal point to the right 2 times and that will be 551.355, then since there is a five you change the other five to a 6 (5 or more raise the score 4 or less let it rest) and that will be 551.36.