Answers
Answer: t = 11
Step-by-step explanation:
f(11)= 5(11) -7
f(11) = 55 - 7
f(11) = 48
Answer:
f(11) = 48
Step-by-step explanation:
f(t) = 5t-7
we have to find out what t is
5t - 7 =48
+7 +7
5t = 55
/5 /5
t = 11
Related Questions
The sides of a hexagon are 2, 3, 2, 4, 7, and 6. Find the perimeter of a similar hexagon
with two sides of length 3.
Answers
The perimeter of hexagon is 24 unit. It is an irregular hexagon.
What is hexagon?A geometrical shape having six straight sides and six angles. The hexagon that has all six sides equal is called regular hexagon and if inequal lengths available is termed as irregular hexagon.
What is perimeter of hexagon?The term perimeter refers to the total length calculated along the boundary of a geometrical shape. Perimeter of a hexagon is six times of its length if it has similar six length. But the hexagon having variable side length is measured by adding the total six length.
we are given a hexagon that is irregular. sides are 2, 3, 2, 4, 7, 6 unit
now perimeter = 2+3+2+4+7+6
= 24 unit
hence, perimeter is 24 unit.
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c) what is an expression for C in terms of b?
Answers
Answer:
[tex]c=5b[/tex]
Step-by-step explanation:
Since we're solving for c, it should be by itself (normally on the left). If you look at the table, c is just 5 times what it's corresponding b value is, so that's what you write as the equation.
A lake fishing map is laid out on a coordinate plane with each unit equal to 1 mille. The boat is launched from the point (7,0) and goes to point (7.-7) to fish. From there, the boat
travels to (0, -7) to fish and then goes back to the launch point.
Determine the total number of miles traveled. Round to the nearest whole number.
•10 miles
•12 miles
•14 miles
•24 miles
Answers
The total number of miles traveled by the boat, found using Pythagorean Theorem, rounded to the nearest whole number is about 24 miles
What does the Pythagorean Theorem state?Pythagoras theorem indicates that the square of the hypotenuse side of a right triangle is the same as the sum of the squares of the legs.
The coordinates of the location of the boat as goes to fish are;
The coordinate of the point at which the boat is launched = (7, 0)
The coordinate of the point at which the boat goes to fish = (7, -7)
The coordinate of the location the boat then travels to in order to fish = (0, -7)
Let A represent the point (7, 0), and let B represent the point (7, -7), and let C represent the point (0, -7), we get;
A(7, 0), B(7, -7), C(0, -7)The length of segment AB = 0 - (-7) = 7
Length of segment BC = 7 - 0 = 7
The x and y-coordinates of the points A and C are different therefore, the length of the segment AC can be found using the distance formula used for finding the distance between two points on the coordinate plane (a form of the Pythagorean Theorem) as follows;
d = √((x₂ - x₁)² + (y₂ - y₁)₂)
The distance between the points A(7, 0), and C(0, -7), is therefore;
Length of segment AC = √((0 - 7)² + (-7 - 0)²) = 7·√2
The total number of miles the boat traveled is therefore;
Total distance traveled = AB + BC + AC
Therefore;
Total distance traveled = 7 + 7 + 7·√2 ≈ 23.889 ≈ 24
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12. CT has a point C at (-7,-9) and point T at (9,7).
What are the coordinates of the midpoint?
A) (-1,-1)
C) (-1, 1)
B) (1,-1)
D) (1, 1)
Answers
The midpoint of CT is located at (b) (1, -1)
How to determine the coordinates of the midpoint?From the question, we have the following parameters that can be used in our computation:
C = (-7, -9)
T = (9, 7)
The midpoint of the line CT can then be calculated as
Midpoint = 1/2 * (C + T)
So, we have the following representation
Midpoint = 1/2 * (-7 + 9, -9 + 7)
Evaluate
Midpoint = 1/2 * (2, -2)
So, we have
Midpoint = (1, -1)
Hence, the midpoint is (1, -1)
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........... i need help past due
Answers
Answer:
[tex]\frac{16}{35}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{2}{5} }{\frac{7}{8} }[/tex]
There is a couple of ways that you can do this. I am going to divide the top and bottom fractions by [tex]\frac{8}{7}[/tex]
[tex]\frac{\frac{2}{5} }{\frac{7}{8} }[/tex] x [tex]\frac{\frac{8}{7} }{\frac{8}{7} }[/tex] = [tex]\frac{\frac{16}{35} }{\frac{56}{56} }[/tex] = [tex]\frac{\frac{16}{35} }{1}[/tex] = [tex]\frac{16}{35}[/tex]
For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the height of his school building. He walks a distance of 13.95 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.15 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answers
The height of the school is 9 meters.
What is proportion?
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
AB/ED = CB/CD
1.35/ED = 2.15/13.95
ED = 8.75 meters
ED ≈ 9 m.
Hence, the height of the school is 9 meters.
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1. Transform The equations into slope-intercept form: y mx+b
2. Graph the system of equations and find the solution
y=x+2
y=3x-2
Answers
The graph for system of the equation y = x + 2 and y = 3x - 2 are shown below and solution for the equations is x = 2 and y = 4.
What is the slope intercept form of an equation ?When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.
Here m is slope and c is constant.
The given system of equations is,
y = x + 2 (1)
and y = 3x - 2 (2)
The given equations are already in slope intercept form and the slope of the equations are, m₁ = 1 and m₂ = 3.
The graph of the equations y = x + 2 and y = 3x - 2 are represented below.
To find the solutions, solve the equations (1) and (2),
x = 2 and y = 4.
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5x -4 =19 please help me it’s for my do NOW
Answers
Add 4 to both sides
5x = 23
Divide 23 by 5
x = 4.6
Also can be expressed x = 23/5 or x = 4(3/5)
Please help! Worth more points will mark as brainiest
Answers
Answer:
252 m^2
Step-by-step explanation:
The equation for surface area in a rectangular prism is SA = 2 (lh +wh + lw ).
So when we plug in the numbers inti the equation we do SA = 2(12×3 + 6×3 + 12×6)
FOLLOW P.E.M.D.A.S (parentheses, exponents, multiplication, division, addition, subtraction)
we get SA = 2(36 + 18 + 72)
then we multiply 2, by each of the numbers.
SA = (72 + 36 + 144)
Add them together and you get
SA = 252
Stevensville has a population of 114,000. The population is decreasing at a rate of 1.5% each year. Which of the following functions would evaluate this situation?
p(s)=114000.0.985³
p(s) =114000
p(s)=114000x+0.985
None of the choices are correct.
Answers
Answer:
none of the choices
Step-by-step explanation:
normally, the form for the answer would be p(s)=Ab^x, but I don't see that here in any of the answer choices. The answer would be p(s)=114,000(0.985)^x.
hope this helps, but downvote this answer if it is wrong :(
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3, −2, and 1, and passes through the point (2,8).
Answers
The third-degree polynomial function for the given circumstances will be 5y=2(x-1)(x+3)(x+2) with zeros of 3, 2, and 1 and passes through the point (2,8).
What is polynomial?Sums of terms of the form k-x^n, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Here,
y=a(x+3)(x+2)(x-1)
x=2 and y=8
8=a(2+3)(2+2)(2-1)
8=a*5*4
a=8/20
a=2/5
y=2/5(x+3)(x+2)(x-1)
5y=2(x+3)(x+2)(x-1)
The polynomial function for given conditions that is third-degree, with zeros of −3, −2, and 1, and passes through the point (2,8) will be 5y=2(x+3)(x+2)(x-1).
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if you test for the for the mean of the differences in a paired t-test, there are how many degrees of freedom?
Answers
There is zero or no degree of freedom in the mean of the differences in a paired t-test.
For the paired t-test, we need two variables. One variable defines the pairs for the observations. The second variable is a measurement. Sometimes, we already have the paired differences for the measurement variable. Other times, we have separate variables for “before” and “after” measurements for each pair and need to calculate the differences.
We also have an idea, or hypothesis, that the differences between pairs is zero. It is also known as the dependent samples t-test, the paired-difference t-test, the matched pairs t-test and the repeated-samples t-test.
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Given two functions:
f(x) = -8x^3 + 9x^2 - 7x + 8
g(x) = −4x^3+ 3x^2 - 4x - 6
Find (f+g)(x)
Answers
Sum of two function f(x) and g(x) is -12x³+12x²-11x+2
What is function?A mathematical expression that indicates a relationship between independent variable and dependent variable. If x is an independent variable function is denoted by f(x) or g(x).
How do we determine the sum of two function?we are given two functions f(x)= -8x³+9x²-7x+8
g(x)= -4x³+3x²-4x-6
now we need to add these two. f(x)+g(x)= -12x³+12x²-11x+2
hence, we obtain another function.
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Dean Willis earns $315.75 per weck. The Social Security tax rate is 6.2% and Medicare tax is 1.45% of gross pay. How much is the deduction from his pay check for Social Security and Medicare?
Answers
The total deduction from Dean's paycheck for Social Security and Medicare is $24.11.
What is a percentage?
A percentage is a way of expressing a number as a fraction of 100. It is often used to express a proportion or a ratio, and is denoted by the symbol "%".
To find the deduction from Dean's paycheck for Social Security and Medicare, we need to calculate the total amount of tax that he owes based on his gross pay.
First, we can calculate the Social Security tax by multiplying Dean's gross pay by the tax rate:
Social Security tax = $315.75 x 6.2% = $19.54
Next, we can calculate the Medicare tax by multiplying Dean's gross pay by the tax rate:
Medicare tax = $315.75 x 1.45% = $4.57
To find the total deduction from Dean's paycheck, we can add the two amounts:
Total deduction = $19.54 + $4.57 = $24.11
Hence, the total deduction from Dean's paycheck for Social Security and Medicare is $24.11.
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Kara downloaded 384 selfies from her cell phone to her laptop. These selfies took up 768 megabytes of space on her laptop. Each selfie took up the same amount of space. How many megabytes do 40 selfies take up?
Answers
Answer:
80 megabytes
Step-by-step explanation:
768/384= 2 megabytes per photo
40 x 2 = 80 megabytes
A two digit number is such that sum of the ones and tens digit is 10.If the digits are reversed, the new number formed exceeds the original number by 54. Find the new number
Answers
Let the tens digit of the original number be x and the ones digit be y. The original number is 10x + y, and the new number formed by reversing the digits is 10y + x.
Since the new number exceeds the original number by 54, we can set up the equation:
10y + x = 10x + y + 54
9x - 9y = 54
x - y = 6
Since x and y are both digits, they must both be integers. The only solution to this equation that satisfies this condition is x = 8 and y = 2.
Therefore, the original number is 82 and the new number formed by reversing the digits is 28. This is the new number.
It takes Andre 4 minutes to swim 5 laps. How many minutes per lap is that?
Answers
Answer: 0.8 minutes
Step-by-step explanation:
4 divided by 5 =0.8
Answer: 0.8 minutes per lap
Step-by-step explanation:
divide the number of minutes by the number of laps to get a minutes per lap
4/5=0.8
A lifeguard recorded the daily average temperature in degrees Fahrenheit and the number of swimmers at the pool each day for 29 days. The scatterplot displays the data.
Complete the correct answers from each drop down menu to complete the statements.
As the x-values increase, the y-values decrease or increase?
This represents a negative or positive? linear or nonlinear? association between the daily average temperature and the number of swimmers at the pool.
Answers
For the given graph, As the x-values increase, the y-values also increase. This represent a positive graph. It is nonlinear function graph.
What is graph?In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty). In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
Here,
For the given graph, As the x-values increase, the y-values also increase.
This represent a positive graph.
It is nonlinear function graph.
As the x-values rise for the presented graph, the y-values rise as well. This graph shows a favorable trend. It is a graph of a nonlinear function.
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Tyler’s cell phone has a $50 charge each month, but no initial fee. On the same coordinate plane, graph the cost of Tyler’s cell phone plan over a period of two years. Then describe how the two graphs are the same and how they are different
Answers
What are the vertices of ΔA'B'C produced by T⟨−3, 6⟩ (ΔABC) = ΔA'B'C? The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate mark -4, -2, -1, 0, 2, 4. -The triangle ABC with coordinates A at (3, 0), B at (3, -2), C at (0, -3).
Answers
[tex]\end{aligned}$$[/tex]So the new coordinates will be ( 0,6 ) , ( 0,4 ) , ( -3 , 3 )
What are coordinates of triangle ?A special example of barycentric coordinates for a triangle is referred to as triangular coordinates, and it is also known as a ternary plot or areal coordinates. Triangular coordinates can also refer to any of at least three other related systems of coordinates in the Euclidean plane.
Given[tex]$\[/tex] triangle ABC[tex]$[/tex] has co-ordinates:
A=(3,0), [tex]\quad[/tex]B=(3,-2), C(0,-3)
Now transaction of [tex]$(-3,6)$[/tex] is applied on Co-ordinates of [tex]$\triangle A B C$[/tex]. Therefore, new Co-ordinates will become:
[tex]$$[/tex] A[tex]^{\prime}= ( 3-3 , 0 + 6 ) = (0,6) . \\[/tex]
B[tex]^{\prime}=(3-3,-2+6)=(0,4) . \\[/tex]
C[tex]^{\prime}=(0-3,-3+6)=(-3,3)[/tex]
[tex]\end{aligned}$$[/tex]So the new coordinates will be ( 0,6 ) , ( 0,4 ) , ( -3 , 3 )
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Write an expression that represents the height of a tree that begins at 8.4 feet and increases by 3.8 feet per year. Let's describe the number of years.
Answers
Answer: 8.4 + 3.8y
Step-by-step explanation: The expression is 8.4 + 3.8y ( y represents the amount of years multiplies by 3.8 or the amount grown per year )
Unless there is a total of height or the amount of years there is no way to complete this problem because there is an infinite number of possibilities.
Find the 9th term
1/8 , 1/2 , 2…
Answers
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive inverse of that elevation?
Answers
Yes subtracting a number is the same as adding its inverse. We have to find the additive inverse of a function.
What is additive inverse?The additive inverse of a number is the number which when we add to the number results zero.
How to find additive inverse?Complex numbers are made up of both real and fictitious numbers. A + iB, where A is the real number and B is the imaginary number, is a complex number.
The additive inverse of A + iB should now be a value that, when added to a given complex number, produces the result zero. It will therefore be -(A + iB).
Suppose we have to find additive inverse of 5.
Let the additive inverse of 5 be x.
So,5+x=0
x=-5
So the additive inverse of 5 is -5.
Hence to find additive inverse of a positive number we have to just put a negative mark and for a negative number we have put positive mark in front of the number.
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What is 30% off $75?
Answers
Answer:
22.5
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
= (0.3)(75) = 22.5
Hope this helps
what is the equation for the function (2,44) and (5,80)
Answers
Answer:
5, 80
Step-by-step explanation:
because 5b / 280 = c2 - b2
Answer: y= 12x +22
Step-by-step explanation:
Find the slope and y intercept
Find Volume of a cone
Answers
Answer:
Your answer is 65.97 meters.
Hence, the volume of the cone is [tex]64.998m[/tex] meters.
What is the volume of cone?
The volume of a cone defines the space or the capacity of the cone. A cone is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called apex or vertex.
Here given that,
The radius of cone is [tex]3m[/tex] and a height of a cone is [tex]7m[/tex].
As we kow the volume of cone is [tex]\pi r^2\frac{h}{3}[/tex].
Now substitute the values in the general formula of cone then,
[tex]V=3.14(3)^2\frac{7}{3}\\\\V=3.14(9)(2.3)\\\\V=3.14(20.7)\\\\V=64.998m[/tex]
Hence, the volume of the cone is [tex]64.998m[/tex] meters.
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What system of linear inequalities is shown in the graph?
Answers
Answer:
y>x?
Step-by-step explanation:
The function f(x) = 150 - 8x represents the distance, in miles, remaining on a trip
x hours into the trip. What is the value of f(5)?
Answers
110
That’s the answer
What is the inequality shown? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 23 4 5 6 7 8
Answers
Answer:
-4<x≤5
Step-by-step explanation:
first at negative 4 there is a white dot and it’s pointing right so x is greater then it
And at 5 it is a closed dot pointing left so x is less then and equal to 5
Hopes this helps
Simplify the expression. 4x^10 y^-3 over 12x-2y
Answers
The expression 4x^10 y^-3 over 12x-2y is x^8 y^-2 / 3
How to solve the expression:Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
1. Eliminate terms from the denominator and numerator.
2. Combine terms that have been multiplied into a single fraction.
3. Add exponents together.
Here, (Given)
4x^10 y^-3 /12x-2y
solving the expression we get
4x^10 / 12x = x^8 / 3
y^-3 / 2y = y^-2
=> x^8 y^-2 / 3
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).
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