EXPLANATION:
In order to multiply correctly we must follow the following steps:
-Multiply the numbers that are not in power of 10 and finally add the powers of 10.
The exercise is as follows:
[tex]undefined[/tex]Select the correct answer, What is the least common multiple of the numbers 5, 25, and 157 A 25 B, 50 C. 75 D 100 E, 125
Rewrite the expression by factoring out 3u-5. [tex]4u(3u-5)+(3u-5)[/tex]
Answer:
[tex]4u(3u-5)+(3u-5)=3u-5(4u +1)[/tex]
Step-by-step explanation:
[tex]4u(3u-5)+(3u-5)=3u-5(4u +1)[/tex]
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying Swing Set Wholesale Price ($) Adventurers 3,056 Thunder Ridge 4,125 The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary,
The selling price of Adventurers swing set is $3,667
What are mathematics operations?
• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.
• The operation's arity is determined by the number of operands.
• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.
• A zero-arity operation, also known as a nullary operation, is a constant.
• The mixed product is an example of an arity 3 operation, also known as a ternary operation.
We have,
Adventurers swing set wholesale selling price = $3056
Markup means the amount increased.
20% Mark up on the price:
= 20% of 3056
= 20/100 x 3056
= $611.2
The selling price of Adventurers swing set:
= $3056 + $611.2
= $3,667.2
Rounding to the nearest cent:
= $3,667
Thus the selling price of Adventurers swing set is $3,667
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What size apartment should she expect And what is the monthly rent for 1,500 sq ft
5.
The given linear regression is
[tex]y=0.775x+950.25[/tex]Where x represents the square footage of the apartment and y represents the monthly rental price
Grace can afford $1500 per month rent
This implies
y = $1500
Substitute y = $1500 into the linear regression
This gives
[tex]1500=0.775x+950.25[/tex]Solve the equation for x
[tex]\begin{gathered} 1500-950.25=0.775x \\ 549.75=0.775x \\ x=\frac{549.75}{0.775} \\ x=709.25 \end{gathered}[/tex]Therefore,
The size of the apartment is 709.25 square footage
PLEASE I REALLY NEED HELP! Which statement is false about the graph of the exponential function f(x)? A) The X-intercept is 1. B) The range is all real numbers.C) As X decreases without bound, f(x) increases without . D) As x increases without bound, f(x) approaches, but never reaches -1 . E) The f(x)-intercept is 3.F) The domain is all real numbers.
From the graph, we can see that
A) True
B) False. The range goes from -1 to +infinity.
C) True
D) True
E) False, the f(x) -intercept is 1.
F) True.
The y-intercept and x-intercepts are:
-A fisherman illegally introduces some fish into a lake, and they quickly propagate. The growth of thepopulation of this new species (within a period of a few years) is modeled P(x) = 5b>, where x is thetime in weeks following the introduction and b is a positive unknown base.a. Exactly how many fish did the fisherman release into the lake?
Equation:
P(x)= 5b^x
Where:
x = time in weeks
b= unknown base
When t= 0
P(0)= 5 b^0
P(0)= 5
a. The fisherman released 5 fish into the lake.
Ashley has sold 70% of the candy bars she’s supposed to sell for her softball team . How many candy bars does she have left to sell
Answer:
70%of 20 is 14 so it is 6
Step-by-step explanation:
20-14=6
what’s the correct answer answer asap for brainlist please.
Answer:
nitrogen is most abundant in atmosphere and soil
In an athletics team there are 60 members. 24 of them are girls. What percentage are girls?
To determine the percentage of girls on the team, you have to divide the number of girls by the total members of the team and multiply the result by 100:
[tex]\frac{nº\text{girls}}{nº\text{members}}\cdot100=\frac{24}{60}\cdot100=0.4\cdot100=40\%[/tex]The percentage of girls on the team is 40%
Plato please help!!
Which statement correctly describes the graph of g(x)=f(-x)+8
Answer:
D
Step-by-step explanation:
hopes this helps please mark brainliest
I need help with this problem
Answer:
f(1) + g(2) = 7
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=-x^2+2x-3\\g(x)=10-\dfrac{1}{2}x \end{cases}[/tex]
To find f(1), substitute x = 1 into function f(x):
[tex]\begin{aligned}x=1 \implies f(1)& =-(1)^2+2(1)-3\\& = -1+2-3\\&=1-3\\&=-2\end{aligned}[/tex]
To find g(2), substitute x = 2 into function g(x):
[tex]\begin{aligned}x=2 \implies g(2)& =10-\dfrac{1}{2}(2)\\& =10-1\\&=9\end{aligned}[/tex]
Therefore, to evaluate f(1) + g(2), sum the two values found for f(1) and g(2):
[tex]\begin{aligned}\implies f(1)+g(2)&=-2+9\\&=7\end{aligned}[/tex]
As one calculation:
[tex]\begin{aligned}\implies f(1)+g(2)&=-(1)^2+2(1)-3+10-\dfrac{1}{2}(2)\\&=-1+2-3+10-1\\&=1-3+10-1\\&=-2+10-1\\&=8-1\\&=7\end{aligned}[/tex]
A pool can be filled by one pipe in 6 hours and by a second pipe in 3 hours. How long will it take using both pipes to fill the pool?
Answer:
2 Hours
Step-by-step explanation:
Hope this helps you.
Tell me if I'm incorrect so I can see what I can do
Find the quadratic model in standard form for the set of values (3, -6), (1,-2), (6,3)
We are asked to determine a quadratic equation given a set of points. To do that, let's remember that a quadratic function is of the following form:
[tex]y=ax^{2^{}}+bx+c[/tex]Now we replace the given points:
Replacing (3, -6)
[tex]\begin{gathered} -6=a(3)^2+3b+c \\ -6=9a+3b+c,(1) \end{gathered}[/tex]Replacing (1, -2)
[tex]\begin{gathered} -2=a(1)^2+b(1)+c \\ -2=a+b+c,(2) \end{gathered}[/tex]Replacing (6, 3)
[tex]\begin{gathered} 3=a(6)^2+b(6)+c \\ 3=36a+6b+c,(3) \end{gathered}[/tex]We get a system of three equations and three variables, these are:
[tex]\begin{gathered} 9a+3b+c=-6,(1) \\ a+b+c=-2,(2) \\ 36a+6b+c=3,(3) \end{gathered}[/tex]Solving for "c" in equation (1):
[tex]c=-6-3b-9a,(4)[/tex]Solving for "c" in equation (2):
[tex]c=-2-b-a,(5)[/tex]Solving for "c" in equation (3)
[tex]c=3-6b-36a,(6)[/tex]equating equations (4) and (5):
[tex]-6-3b-9a=-2-b-a[/tex]Rewritting:
[tex]\begin{gathered} -3b+b-9a+a=-2+6 \\ -8a-2b=4,(7) \end{gathered}[/tex]equating equation (5) and (6):
[tex]-2-b-a=3-6b-36a[/tex]Rewritting:
[tex]\begin{gathered} -b-a+6b+36a=3+2 \\ 35a+5b=5,(8) \end{gathered}[/tex]Now we solve for "a" in equation (7):
[tex]\begin{gathered} -8a=4+2b \\ a=-\frac{1}{2}-\frac{1}{4}b \end{gathered}[/tex]Replacing the value of 2a" in equation (8)
[tex]35(-\frac{1}{2}-\frac{1}{4}b)+5b=5[/tex]Solving the operations:
[tex]-\frac{35}{2}-\frac{35}{4}b+5b=5[/tex]Solving for "b":
[tex]\begin{gathered} -\frac{7}{2}-\frac{7}{4}b+b=1 \\ -\frac{7}{2}-\frac{3}{4}b=1 \end{gathered}[/tex]Adding 7/2 to both sides:
[tex]\begin{gathered} -\frac{3}{4}b=1+\frac{7}{2} \\ -\frac{3}{4}b=\frac{9}{2} \\ b=-6 \end{gathered}[/tex]Therefore, b = 9.
Replacing this value in equation (7)
[tex]\begin{gathered} a=-\frac{1}{2}-\frac{1}{4}(-6) \\ a=1 \end{gathered}[/tex]Replacing in equation (2)
[tex]\begin{gathered} 1-6+c=-2 \\ \end{gathered}[/tex]Adding like terms:
[tex]-5+c=-2[/tex]Adding 5 to both sides:
[tex]\begin{gathered} c=-2+5 \\ c=3 \end{gathered}[/tex]Therefore, the quadratic equation is:
[tex]y=x^2-6x+3[/tex]2. The formula for passing efficiency P in NCAA football is P8.4Y+330T+100C-200/Awhere Y isthe number of passing yards, T is the number of passing touchdowns, C is the number ofcompleted passes, I is the number of interceptions, and A is the number of attempts. Write anequation that will calculate the completed passes for a quarterback with a givenefficiency, number of passing yards, number of passing touchdowns, number of interceptions,and number of attempts. Show your work.
Okay, here we have this:
Considering the provided information and equation, we are going to find an equation that will calculate the completed passes, so we obtain the following:
Then from the given equation we will solve for C and the resulting equation will be the one we are looking for, then we have:
[tex]\begin{gathered} P=\frac{8AY+330T+100C-200I}{A} \\ PA=8AY+330T+100C-200I \\ PA-8AY-330T+200I=100C \\ C=\frac{PA-8AY-330T+200I}{100} \end{gathered}[/tex]The above equation is the one we are looking for, and it will calculate the completed passes for a quarterback with a given efficiency, number of passing yards, number of passing touchdowns, number of interceptions, and number of attempts.
Find the values for x given the equation7. (x - 5) (x + 1) = 0
Solution:
Given the equation;
[tex](x-5)(x+1)=0[/tex]Thus, the solution of the quadratic equation is;
[tex]\begin{gathered} x-5=0,x+1=0 \\ \\ x=5,x=-1 \end{gathered}[/tex]explain how I get 1.2 from multiplying 4×0.3
To multiply 4x0.3 you need to multiply as if there is no decimal, 4x3=12
Then you count the number of digits after the decimal and put the same number of digits behind the decimal in the product.
Because 0.3 has just one number behind the decimal and there is only 1 number after the decimal it would be 1.2
Please help struggling in math & this is for practice
The given functions are
[tex]\begin{gathered} f(t)=\frac{11}{t-2} \\ g(t)=\frac{22t}{t^2-4} \end{gathered}[/tex]The first part consists in adding the functions f(t) + g(t)
[tex]f(t)+g(t)=\frac{11}{t-2}+\frac{22t}{t^2-4}=\frac{11(t^2-4)+22t(t-2)}{(t-2)(t^2-4)}[/tex]Let's factor the square difference
[tex]\frac{11(t+2)(t-2)+22t(t-2)}{(t-2)(t^2-4)}=\frac{11(t+2)+22t}{t^2-4}[/tex]Now, we simplify
[tex]\frac{11t+22+22t}{t^2-4}=\frac{33t+22}{t^2-4}[/tex]Hence, the addition of the given functions is
[tex]f(t)+g(t)=\frac{33t+22}{t^2-4}[/tex]On other hand, let's solve the difference
[tex]\begin{gathered} f(t)-g(t)=\frac{11}{t-2}-\frac{22t}{t^2-4}=\frac{11(t^2-4)-22t(t-2)}{(t-2)(t^2-4)} \\ f(t)-g(t)=\frac{11(t+2)(t-2)-22t(t-2)}{(t-2)(t^2-4)} \\ f(t)-g(t)=\frac{11(t+2)-22t}{t^2-4}=\frac{11t+2-22t}{t^2-4} \end{gathered}[/tex]Hence, the difference is
[tex]f(t)-g(t)=\frac{-11t+2}{t^2-4}[/tex]The question is in the photo please answer with each one
Answer:
Solution(s) below.
Step-by-step explanation:
This question involves the concept of reading values from graph.
The first 3 questions are basically asking you to find the value of y when x is a certain value.
a) g(7) is asking to find the value of y when x = 7.
So we can see from the graph, when x = 7, y = 4.
b) g(0) is asking to find the value of y when x = 0.
So we can see from the graph, when x = 0, y = 7.
c) g(-5) is asking to find the value of y when x = -5.
So we can see from the graph, when x = -5, y = 6 (Read from the value of 5 on the left side of the graph since x is negative.)
d) This question is asking us to do the opposite compared to the other 3 questions, its asking us to find the value of x when y = 3.
So, we can see from the graph, when y = 3, x = 9.
What is the measure of the unknown angle in the base of this pyramid? A) 25° OB) 40° OC) 55° OD) 70°
Notice that the base of the pyramid is a triangle, and recall that the interior angles of a triangle add up 180 degrees, therefore:
[tex]\text{?}+55^{\circ}+70^{\circ}=180^{\circ}[/tex]solving for ?, we get:
[tex]\begin{gathered} \text{?}=180^{\circ}-70^{\circ}-55^{\circ} \\ \text{? = 55}^{\circ} \end{gathered}[/tex]Answer:
its C. 70 degrees
because 180 - 50 - 60 = 70
180= whole shape,
so u want to subtract ur known degrees to get the unknown degree
Which number is the additive inverse of -10 1/4 ?
10 1/4
-4 1/10
0
4/41
The additive inverse is 10(1/4)
What is additive inverse?By merely switching the integer's sign, you can add the original number and the additive inverse to produce a result equal to 0. The attributes of additive inverse are outlined below based on the negation of the original number. For instance, if the beginning integer is x, the additive inverse of x is -x.
The additive inverse of a number is the one that, when added to, yields zero. Other names for this exact number include sign change, negation, and the opposite (number).
Given -10(1/4)
-10(1/4) + 10(1/4) = 0
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The product of -13 and the difference of c and d
The text mentions a product of two terms and a subtraction. The first term is the number - 13 times the difference of c and d. As a mathematical expression, this would be
[tex](-13)\times(c-d)[/tex]Expanding this expression using the distributive rule, we have
[tex]\begin{gathered} (-13)\times(c-d) \\ =-13c+13d \end{gathered}[/tex]A Chick-o-stick is the inside of a Butterfingermade into a cylinder. A Chick-o-stick has adiameter of 1.8 cm and a height of 9.6 cm, ifwe were to cover it in chocolate, how mucharea needs to be covered?
It is given that the diameter is 1.8 cm so the radius is 0.9 cm
It is also given that the height is 9.6 cm.
It needs to be covered in chocolate so the surface area of the cylinder needs to be calculated.
The surface area of the cylinder is given by:
[tex]A=2\pi\times r(r+h)[/tex]Substitute the values to get:
[tex]\begin{gathered} A=2\times\pi\times0.9(0.9+9.6) \\ A=59.3761cm^2 \end{gathered}[/tex]Hence the area of chocolate required is 59.3761 square centimeters.
What is the change in temperature? Simplify the expression. -5-(-1) =
we have the following:
[tex]-5-\left(-1\right)=-5+1=-4[/tex]therefore, the answer the change in the temperature is -4
MODELING REAL LIFE A public university charged $9500 for tuition and fees in the 2015–2016 academic year. This cost increased at a constant rate and reached $10,500 in the 2020–2021 academic year. Estimate the cost of tuition and fees in the 2024–2025 academic year. The cost of tuition and fees in the 2024–2025 academic year is about $\$$ .
The cost of tuition and fees in the 2024–2025 academic year is about the amount of $11,300.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
As per the given information, take two points as
(9500, 0)
(10,500, 5)
Here 2015–2016 academic year is represented as zero
So the linear equation model would be
y - 9500 = [(10,500 - 9500) / (5-0) ](x - 0)
y - 9500 = (1000/5)x
y = 200x + 9500
So the cost of tuition and fees in the 2024–2025 academic year:
Here 2024–2025 academic year is represented as nine,
Substitute the value of x = 9 in the linear equation model y = 200x + 9500
y = 200(9) + 9500
y = 1800 + 9500
y = 11,300
Thus, the cost of tuition and fees in the 2024–2025 academic year is about $11,300.
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I need helpp this is geometry
Answer:
x = 8
AB = 1
BC = 1
Step-by-step explanation:
AB = BC when
[tex]\dfrac{3}{4}x - 5 = \dfrac{9}{4}x - 17[/tex]
In the above equation bring all the x terms to the left and the constants to the right as follows
Add 5 on both sides:Since x = 8 we can solve for the lengths of both segments by plugging in the value in the two expressions
[tex]AB = \dfrac{3}{4} \times 8 - 5\\\\AB = 6 - 5 = 1\\\\BC = \dfrac{9}{4} \times 8 - 17\\\\BC = 18 - 17 = 1\\\\[/tex]
So AB = BC = 1
Answer:
x = 8 , AB = BC = 1
Step-by-step explanation:
we require
AB = BC , that is
[tex]\frac{3}{4}[/tex] x - 5 = [tex]\frac{9}{4}[/tex] x - 17
multiply through by 4 to clear the fractions
3x - 20 = 9x - 68 ( subtract 9x from both sides )
- 6x - 20 = - 68 ( add 20 to both sides )
- 6x = - 48 ( divide both sides by - 6 )
x = 8
Then
AB = [tex]\frac{3}{4}[/tex] × 8 - 5 = 6 - 5 = 1
BC = [tex]\frac{9}{4}[/tex] × 8 - 17 = 18 - 17 = 1
so AB = BC
in a park, the ratio of adults to children is 9 to 3. If there are 216 people in the park, how many children are there?
Answer:
if the question specifically says people then the amount of children are 54.
if the question specifically says the amount of adults in the park compared to the children when there are 216 adults, then the answer is 72.
Step-by-step explanation:
children and adults
so we know that this is a scale factor question because there is a ratio involved . the ratio is 9 to 3 . so the next ratio answer is 216 to what ?
how do you get from 9 to 216 ? the answer is that you multiply by 216 / 9 . this is a form of math short hand if you did not know already . to get from y to x, you multiply y by x/y.
so basically that means that you multiply 9 by 216 / 9 to get to 216 . that means that the scale factor is 216 / 9 . so you will want to multiply three by 216 / 9 because 216 / 9 is the scale factor .
216 / 9 is equal to 24 . now multiplying the scale factor by 3 is equal to 72 . therefore there are 72 children compared to 216 adults.
_____
children and people
if the question is asking specifically people not adults then instead you will want to add nine with three to get the total amount of people . 9 + 3 = 12 so the new ratio will be 12 people to three children . so with the same idea in mind 12 to 3 and 216 to what? to get from 12 to 216 you need to multiply by 216 / 12 thus 216 / 12 is the scale factor in this situation. 216 / 12 = 18 so the scale factor here is 18 so you need to multiply 18 by 3 to get the total amount of children there compared to the total amount of people . the total amount of children there are 54 .
Boone High School is holding a fundraiser and plans to use 2/3 of the money collected to build a new library of the money directed towards building the new library 3/4 will go towards purchase and computers what fraction of the money raised will go towards purchasing computers for the library
Given that Boone High School is holding a fundraiser and plans to use:
• 2/3 of the money collected to build a new library.
,• of the money directed towards building the new library, 3/4 will go towards purchase and computers.
,• We want to know what fraction of the money raised will go towards purchasing computers for the library.
In other words, we want to know what 3/4 of 2/3 is.
Let x be 4/3 of 2/3
Then
[tex]\begin{gathered} x\text{ = }\frac{4}{3}\text{ }\times\frac{2}{3} \\ =\text{ }\frac{8}{9} \end{gathered}[/tex]Therefore, the fraction of the money raised will go towards purchasing computers for the library is 8/9
Joe bought 2 pairs of jeans and 1 shirt for 120 Sam bought 1 pair of jeans and 3 shirts for 135 How much does one shirt cost
Answer:
One shirt costs $80 and a pair of jeans equals $`15.
Step-by-step explanation:
If the shirt would cost $80 and you get 1, the jeans would equal 15. 2 pairs of jeans is 30, leaving $80 for the 1 shirt. You buy 1 pair of jeans, 15, and get 3 shirts for 135, 3 shirts would be 120. 120 + 15= 135. 80 + 15 + 15= 120.
Answer:
One shirt costs 30
Step-by-step explanation:
So, we don't know the prices for 1 shirt & 1 jeans, and we're to find the value of 1 shirt. Let's take it that:
1 shirt costs: x
1 jeans costs: y
Given that two persons in the names of Joe and Sam bought 2 pairs of jeans and 1 shirt for 120 and 1 pair of jeans and 3 shirts for 135 respectively, we can actually see that both persons bought jeans and shirts for different values. With the information, we convert to simultaneous equation.
The first info states that:
[tex]2y + x = 120→equ(i)[/tex]
The second info states that:
[tex]y + 3x = 135→equ(ii)[/tex]
Now, since we are to find the cost of 1 shirt (x), we make y the subject of formula in equation (ii) to solve for x.
[tex]y = 135 - 3x→equ(iii)[/tex]
Replace for the value of y in equation (i)
[tex]2(135 - 3x) + x = 120[/tex]
[tex]270 - 6x + x = 120[/tex]
Take like terms
[tex]-5x = 120 - 270[/tex]
[tex]-5x = -150[/tex]
Divide both sides by -5 to find the value of x
x = -150/ -5
Therefore: x = 30
Replace for the value of x in any of the equations
y = 45
Can you please help me? It's for Algebra 2 Im a little confused and have been on this question for a while.
[tex]A= \begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\hspace{5em} B= \begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix} \\\\[-0.35em] ~\dotfill\\\\ -3A\implies -3\begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix} \\\\\\ 6B\implies 6\begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix}\implies \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\[-0.35em] ~\dotfill[/tex]
[tex]-3A+6B\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix}~~ + ~~ \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\\\ \begin{bmatrix} (9-12)&(-15+36)&(18+42)\\\\ (-27+12)&(15-6)&(-9-36) \end{bmatrix}\implies \Large \begin{bmatrix} -3&21&60\\\\ -15&9&-45 \end{bmatrix}[/tex]
Dont judge me on my answers Im not that good at maths I need to know the corrections . Also there’s another part . c) on a graph show the axis of symmetry of the function . Write down the equation of symmetry below.
Part a:
Let's factor f(x)=2x² - x -6
= (x-2)*(2x+3)
Part b: Solve for f(x) = 0
(x-2)*(2x+3) = 0
x-2 = 0
x = 2
OR
2x+3 = 0
2x = -3
x= -3/2
Part C: In a quadratic equation, such as the one given, the line of symmetry is given by:
x = -b/2a
x= -1/2*2
x= - 1/4
Bellow, you can see the graph:
