Answer:
what does that even mean
Step-by-step explanation:
1)What Miller is adding a room to the back of his house. For the foundation, 12 ft wide, & and 4 ft deep. How many cubic ft of soil have to be Removed?
We need to find the volume, the volume can be found as:
[tex]V=w\cdot l\cdot h[/tex]Where:
w = width = 12ft
l = length = 16ft
h = height = 4ft
so:
[tex]\begin{gathered} V=12\cdot16\cdot4 \\ V=768ft^3 \end{gathered}[/tex]He has to remove 768ft³ of soil
i need help with this!
Answer:
19. 7
20. 11
21. -12
22. 15
23. 77
24. −6
Step-by-step explanation:
Simply plug the values of a, b and c into each equation and evaluate using a calculator or manually
Leila deposits the same amount of money into a bank account every month. The table below shows the amount of money in the account after different amounts of time.
To see how money is changing with respect to time, we will observe the time and money value differences between two periods.
At 6 months, there is $467
At 8 months, there is $557
We can see that within a two month increase, the amount of money has also increased.
We can observe the values for 10 and 12 months and see that these months are also asscociated with increased account values.
a)
Correct option: As the time increases the amount of money in the account increases.
Rate of increase:
r = (557-467)/2 =
$45 dollars per month.
We are asked to find the amount of money at time t= 0 months.
Since then, the amount in the account has increased 6 times. It has increased by $270.
b)
Therefore the account started with $197.
Select the graph of the piecewise function given by: ƒ(x) = 0 for 0 ≤ x < 4ƒ(x) = 3 for 4 ≤ x < 8ƒ(x) = 6 for 8 ≤ x < 12
Given,
ƒ(x) = 0 for 0 ≤ x < 4
ƒ(x) = 3 for 4 ≤ x < 8
ƒ(x) = 6 for 8 ≤ x < 12
To select the graph of the given piecewise function.
The solid circle represents the inclusion of the point. Similarly, the hollow circle represents the exclusion of the point.
Option A:
It can be observed in option A that the circles are represented properly and the function is properly shown in the respective interval.
As a result, option A is correct.
Option B:
It can be observed that option B does not follow the proper circle for denoting the endpoints of the interval.
As a result, option B is incorrect.
Option C:
The weight of a bacterium is defined by multiplying the functions of f(x) and g(x). Given f(x) = 6x6 + 8x and g(x) = 2x. Which of the following represents the weight of the bacterium?12x6 + 16x12x7 + 16x2-12x7 - 16x23x5 + 4
Given the following functions:
[tex]\begin{gathered} f(x)=6x^6+8x \\ g(x)=2x \end{gathered}[/tex]The weight of a bacterium is defined by multiplying the functions of f(x) and g(x).
So, the product of the functions will be as follows:
[tex]f(x)*g(x)=(6x^6+8x)*2x[/tex]We will use the distributive property to find the result as follows:
[tex]\begin{gathered} f(x)*g(x)=6x^6*2x+8x*2x \\ f(x)*g(x)=12x^7+16x^2 \end{gathered}[/tex]So, the answer will be 12x⁷+16x²
Which value of y makes the equation true?
-2y-9=-11
Answer:
Y=1
Step-by-step explanation:
To solve this we can start by isolating the y value.
To get rid of the -9 we add nine to both sides leaving us with
-2y=-2
Then we want to only have y = ?
So we divide -2 by -2 and get one
y=1
A company makes pens. They sell each pen for $ 6
Answer:
a. -3,000
b. 1,750
Explanation:
We were given the following information:
A company makes pens:
Each pen is sold at $6 per unit
Revenue = 6 * x
Manufacture Cost = 2 * x
Start-up Cost = $7,000
Cost = Manufacture Cost + Start-up Cost = 2 * x + 7,000
Profit = Revenue - Cost
a) The profit is calculated for 1,000 pens as shown below:
[tex]\begin{gathered} Profit=Revenue-Cost \\ \text{For the making of 1,000 pens, it means: }x=1,000 \\ Revenue=6\cdot x=6\times1,000 \\ Revenue=\text{\$}6,000 \\ Cost=2\cdot x+7,000 \\ Cost=2\times1,000+7,000 \\ Cost=2,000+7,000 \\ Cost=\text{\$}9,000 \\ \\ Profit=6,000-9,000 \\ Profit=-\text{\$}3,000 \\ \\ \therefore Profit=-\text{\$}3,000 \end{gathered}[/tex]Hence, the profit is -3,000
b) We will calculate for the number of pens needed to be sold for the company to break even as shown below. We have:
[tex]\begin{gathered} \text{At breakeven: }Revenue=Cost \\ \Rightarrow6x=2x+7,000 \\ \text{We will calculate for the value of the variable ''x'':} \\ 6x=2x+7,000 \\ \text{Subtract ''2x'' from both sides, we have:} \\ 6x-2x=7,000 \\ 4x=7,000 \\ \text{Divide both sides by ''4'', we have:} \\ x=\frac{7,000}{4} \\ x=1,750 \\ \\ \therefore x=1,750 \end{gathered}[/tex]Hence, the breakeven occurs when the company has made 1,750 pens
Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter greater than 15 inches.
Given:
[tex]\begin{gathered} \mu=10\text{ }inches \\ \sigma=2.2\text{ inches} \end{gathered}[/tex]To find- P(X>15)
Explanation-
We know that a z-score is given by-
[tex]z=\frac{x-\mu}{\sigma}[/tex]where x is the raw score, mu is the mean and sigma is the standard deviation.
Hence, the proportion of trees having a diameter greater than 15 inches will be-
[tex]\begin{gathered} P(x>15)=P(\frac{x-\mu}{\sigma}>\frac{15-\mu}{\sigma}) \\ P(x>15)=P(Z>\frac{15-10}{2.2}) \end{gathered}[/tex]On further solving, we get
[tex]\begin{gathered} P(x\gt15)=P(Z\gt\frac{5}{2.2}) \\ P(x\gt15)=P(Z\gt2.2727) \end{gathered}[/tex]With the help of an online tool, the probability will be
[tex]P(x>15)=0.0115[/tex]Since the significance level is not mentioned, we assumed it is 0.05.
Thus, the proportion of trees having a diameter greater than 15 inches is 0.0115.
The answer is 0.0115.
HELPPP please
Which of the following products is irrational?
Answer: B) 7 x π
Step-by-step explanation:
π is irrational since it doesn't have an end(yet)
E3.This table shows the times, in minutes, It took 40 sixth grade students to run 1 mile.frequency15time (minutes)4 to less than 66 to less than 88 to less than 1010 to less than 1212 to less than 1414 to less than 16131272INTLDraw a histogram for the information in the table.321
The histogram is shown below:
If R(-2,-1) is the midpoint of ST and S(-14,3),find the coordinates of t
Answer
Explanation
Mathematically, if a point R(x, y) divides the coordinates S (x₁, y₁) and T (x₂, y₂) internally in the ratio m:n then point R(x, y) is given as
x = [(mx₂ + nx₁)/(m + n)]
y = [(my₂ + ny₁)/(m + n)]
For this question, we are given that
R (x, y) = R(-2, -1)
S (x₁, y₁) = S (-14, 3)
T (x₂, y₂) = ?
Since it is divided equally into two parts (As per the midpoint), m : n = 1 : 1
x = -2
y = -1
x₁ = -14
y₁ = 3
x₂ = ?
y₂ = ?
m = 1
n = 1
x = [(mx₂ + nx₁)/(m + n)]
-2 = [(1 × x₂) + (1 × -14)]/(1 + 1)
-2 = [x₂ - 14]/2
[tex]\begin{gathered} -2=\frac{x_{2}-14}{2} \\ \text{Cross multiply} \\ x_{2}-14=2\times-2 \\ x_{2}-14=-4 \\ x_{2}=-4+14 \\ x_{2}=10 \end{gathered}[/tex]y = [(my₂ + ny₁)/(m + n)]
-1 = {
Fractions and Mixed Numbershogy Commercing eng yourStephan owns a landscaping compary. Today, he is mowing three lawns: one is 1/4 of an acre, one is of 1/2 an acre, and one is 1 1/3 acres. How many acres of lawn is Stephan going to nowtoday. Simplify your answer and write it as a mixed fraction if necessary25 acresSvendoseSotPassHold
We would add each of the given fraction. Thus, the number of acres that he is going to mow
Prove the segments joining the midpoint if consecutive sides of an isosceles trapezoid form a rhombus.
DEFG is a rhombus by definition of rhombus (option B)
Explanation:
To prove that DEFG is a rhombus, we will find the distance between all the 4 sides of the quadrilateral. A rhombus has all 4 sides equal.
Distance formula is given as:
[tex]$$dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$$[/tex][tex]\begin{gathered} distance\text{ DE: D}(-a-b,\text{ c})\text{ and E}(0,\text{ 2c}) \\ x_1=-a-b,y_1=c,x_2=0,y_2\text{ = 2c} \\ distance\text{ DE = }\sqrt{(0\text{ - }(-a-b))^2\text{ + }(2c\text{ - c})^2} \\ distance\text{ DE = }\sqrt{(0\text{ +}a+b)^2\text{ + c}^2}\text{ } \\ distance\text{ DE = }\sqrt{(\text{a + b})^2+c^2} \end{gathered}[/tex][tex]\begin{gathered} distance\text{ EF: E}(0,\text{ 2c})\text{ and F}(a\text{ + b, c}) \\ x_1=0,y_1=2c,x_2=a+b,y_2\text{ = c} \\ distance\text{ EF = }\sqrt{(c\text{ - 2c})^2+\text{ }(a\text{ + b - 0})^2} \\ distance\text{ EF = }\sqrt{(-c)^2+(a+b)^2}\text{ } \\ \text{distance EF = }\sqrt{c^2\text{ + }(a+b)^2} \end{gathered}[/tex][tex]\begin{gathered} distance\text{ GF: G}(0,\text{ 0})\text{ and F }(a+b,\text{ c}) \\ x_1=0,y_1=0,x_2=a+b,y_2\text{ = c} \\ distance\text{ GF = }\sqrt{(c\text{ - 0})^2+\left(a+b-0\right)^2} \\ distance\text{ GF = }\sqrt{c^2+(a+b)^2} \end{gathered}[/tex][tex]\begin{gathered} distance\text{ DG: D}(-a-b,\text{ c})\text{ and G }(0,\text{ 0}) \\ x_1=-a-b,y_1=c,x_2=0,y_2\text{ = 0} \\ distance\text{ GD = }\sqrt{(0-c)^2+(0-(-a-b))^2} \\ distance\text{ GD = }\sqrt{(-c)^2+\left(0+a+b\right)^2} \\ distance\text{ GD = }\sqrt{c^2\text{ + }(a+b)^2} \end{gathered}[/tex]From our calculation, Distance DE = Distance EF = Distance GF = Distance GD
All 4 sides are equal (congruent)
DEFG is a parallelogram with congruent sides. So DEFG is a rhombus by definition of rhombus (option B)
A school is planning a 4th grade field trip. There are 157 students and 9 teachers in the 4th gradeIf each bus holds 45 people, how many buses does the school need to make the field trip?Which of the following equations can be used to solve this problem?
Given:
A school is planning a 4th grade field trip. There are 157 students and 9 teachers in the 4th grade. Each bus holds 45 people.
Required:
To find the number of buses does the school need to make the field trip.
Final Answer:
There area total
[tex]\begin{gathered} =157+9 \\ =166 \end{gathered}[/tex]166 people.
Let the number of bus be x.
Each bus holds 45 people, therefore
[tex]\begin{gathered} 45x=166 \\ x=\frac{166}{45} \\ x=3.68 \\ x\approx4 \end{gathered}[/tex]Final Answer:
4 buses need to make the field trip.
m³ +9n when m = 4
and n = 5
Answer:
109
Step-by-step explanation:
you first cube 4 which means 4x4x4
64
then multiply 9x5 and get 45
then add 45+64 and you get your answer
1. How does someone find the equation of a boundary line?2. How does someone determine if the points on the boundary line are solutions to the inequality?
Answer:
D: Find the boundary line equation by replacing the inequality sign with =
Explanation:
Part 1
Given any inequality, say:
[tex]yTo find the equation of the boundary line, replace the inequality sign with the equality(=) sign. This gives the equation of the boundary line to the inequality above as:[tex]y=x+5[/tex]The correct choice is D.
Part 2
When drawing the boundary line:
• Use a solid line for the inequalities: ≤ or ≥
,• Use a broken line for the inequalities: < or >
If the boundary line is solid, the points on the boundary line are solutions to the inequality, otherwise, they are not.
What are the coordinates of the focus of the parabola?y=18x2+2x
The equation of the given parabola is
[tex]y=\frac{1}{8}x^2_{}+2x[/tex]Rewrite the equation in the vertex form
[tex]y=a(x-h)^2+k[/tex]The equation becomes
[tex]\begin{gathered} y=\frac{1}{8}x^2+2x \\ y=\frac{1}{8}(x^2+16x) \\ 8y=x^2+16x \\ 8y=x^2+6x+64-64 \\ 8y=(x+8)^2-64 \end{gathered}[/tex]Divide through the equation by 8
This gives
[tex]y=\frac{1}{8}(x+8)^2-8[/tex]Comparing the equation with the vertex form
It follows
[tex]a=\frac{1}{8},h=-8,k=-8[/tex]The focus of a parabola in vertex form is given as
[tex]F=(h,k+\frac{1}{4a})[/tex]Substitute h = -8, k = -8 and a = 1/8 into the formula for focus
This gives
[tex]F=(-8,-8+\frac{1}{4(\frac{1}{8})})[/tex]Simplify the expression
[tex]\begin{gathered} F=(-8,-8+\frac{1}{\frac{1}{2}}) \\ F=(-8,-8+2) \\ F=(-8,-6) \end{gathered}[/tex]Therefore, the focus of the parabola is at (-8, -6)
triangles FIM and LAK below are similar with m
8
Explanation
as the triangles are similar we can set a proportion
Step 1
Let
[tex]\text{ratio}=\frac{\text{longest side}}{\text{smallest side}}[/tex]so
a) for triangle FIM
[tex]\begin{gathered} \text{ratio}=\frac{\text{longest side}}{\text{middle side}} \\ ratio_1=\frac{FM}{FI}=\frac{6}{4}=\frac{3}{2} \\ ratio_1=\frac{3}{2} \end{gathered}[/tex]b) for triangle LAK
[tex]\begin{gathered} \text{ratio}=\frac{\text{longest side}}{\text{smallest side}} \\ ratio_2=\frac{LK}{LA}=\frac{12}{LA} \\ ratio_2=\frac{12}{LA} \end{gathered}[/tex]as the tringles are similar, the ratios are similar
hence
[tex]\begin{gathered} \text{ratio}_1=ratio_2 \\ \frac{3}{2}=\frac{12}{LA} \end{gathered}[/tex]Step 2
now, solve for LA
[tex]\begin{gathered} \frac{3}{2}=\frac{12}{LA} \\ \text{cross multiply } \\ 3\cdot LA=12\cdot2 \\ 3LA=24 \\ \text{divide both sides by 3} \\ \frac{3LA}{3}=\frac{24}{3} \\ LA=8 \end{gathered}[/tex]therefore, the answer i
8
I hope this helps you
. Amy's school is selling
tickets to a choral
performance. A senior
citizen's ticket is $6 and a
child's ticket is $15. If they
made $810 dollars and
sold a total of 72 child
and senior citizen tickets,
how many of each ticket
did they sell?
By solving the equation we know that Amy's school sold 30 tickets to seniors and 42 tickets to children.
What are equations?A mathematical statement called an equation includes the symbol "equal to" between two expressions with equal values. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Any value of the variable that satisfies the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is a solution of the equation. Finding an equation's solution or solution is known as solving the equation.So, let 's' represents seniors and 'c' represents children.
The equation is as follows:
6s + 15c = 810 - 6(s + c = 72)⇒ -6s - 6c = -432 (Cut s)Then,
9c = 378c = 378/9c = 42Then,
s = 72 - 42s = 30Therefore, by solving the equation we know that Amy's school sold 30 tickets to seniors and 42 tickets to children.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ13
Compare the quantities in Column A and Column B Column A Column B The solutions of 4x - 30 2-3x + 12 The solutions (A) The quantity in Column A is greater. (B) The quantity is Column B is greater. (C) The quantities are equal. (D) The relationship cannot be determined from the inform
Column A:
[tex]4x-30\ge-3x+12[/tex]The solution will be as following :
[tex]\begin{gathered} 4x+3x\ge12+30 \\ 7x\ge42 \\ \frac{7x}{7}\ge\frac{42}{7} \\ \\ x\ge6 \end{gathered}[/tex]Column B:
[tex]\frac{1}{2}x+3<-2x-6[/tex]The solution will be as following :
[tex]\begin{gathered} \frac{1}{2}x+2x<-6-3 \\ 2\frac{1}{2}x<-9 \\ \frac{5}{2}x<-9 \\ \\ x<-9\cdot\frac{2}{5} \\ \\ x<-3.6 \end{gathered}[/tex]Compare the quantities in Column A and Column B
so,
[tex]x\ge6\text{ and x < -3.6}[/tex]So, the answer is option A) The quantity in Column A is greater.
At the lake, two companies are giving boat rides. At one booth a boat leaves every 12 minutes and at the
other booth a boat leaves every 18 minutes. In how many minutes will both boats be leaving at the same
time?
A) 6 minutes
B) 24 minutes
C) 36 minutes
C) 72 minutes
Answer:
Step-by-step explanation:B
The common ratio for the home prices in an Austin neighborhood is 1.08 every year for the past 5 years increasing or decreasing? and is it linear or exponential? therefore interpret the change?
Lindsey, this is the solution:
Ratio for the home prices in an Austin neighborhood = 1.08 every year
1. It is an increasing ratio because it is higher than 1.
2. It is linear because the rate of change is constant (1.08)
3. Interpretation : The common ratio means that every year for the past 5 years the home prices in the Austin neighborhood grew 8%.
This is a one step inequality can you help my find the answer I don't know how to do this X + 7 < 19
Answer:
X<12
Step-by-step explanation:
A store is selling scooter for $40. You have coupon and purchase it for $15. What percentage was the coupon?
We can solve this problem by applying the rule of three:
[tex]\begin{gathered} 40\text{ dollars ------100\%} \\ 15\text{ dollars ------ x} \end{gathered}[/tex]hence,
[tex]x=\frac{(15)(100)}{40}[/tex]and it yields
[tex]x=\frac{1500}{40}[/tex]which result in x= 37.5. It means that 15 dollars corresponds to 37.5%
Find the slope of the line that goes through the points (2,-6) and (11,15).Slope,m=___Enter your answer as an integer or a reduced fraction in the form A/B
Answer:
m = 7/3
Explanation:
The slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So, replacing (x1, y1) = (2, -6) and (x2, y2) = (11, 15), we get:
[tex]m=\frac{15-(-6)}{11-2}=\frac{15+6}{9}=\frac{21}{9}=\frac{7}{3}[/tex]Therefore, the slope is 7/3
Simplify the complex rational expression by the method of your choice. 1——x-6———-1 - 1 —- x-6
To find:
The simplified form of the rational expression.
Solution:
The given rational expression can be simplified as follows:
[tex]\begin{gathered} \frac{\frac{1}{x-6}}{1-\frac{1}{x-6}}=\frac{\frac{1}{x-6}}{\frac{x-6-1}{x-6}} \\ =\frac{1(x-6)}{(x-6)(x-7)} \\ =\frac{1}{x-7} \end{gathered}[/tex]Thus, the answer is:
[tex]\frac{1}{x-7}[/tex]At a particular restaurant, each slider bas 200 calories and each mini hotdog bas 100calories. A combination meal with mini hotdogs and sliders is shown to have 1200total calories and 4 times as many mini botdogs as there are sliders. Graphically solveagystem of equations in order to determine the number of sliders in the combinationmeal, 2, and the number of mini hotdogs in the combination meal, y.
x: the number of sliders in the combination meal
y: the number of mini hotdogs in the combination meal
Each slider has 200 calories and each mini hotdog has 100 calories. A combination meal with mini hotdogs and sliders is shown to have 1200
total calories, means:
200x + 100y = 1200
The combination meal has 4 times as many mini hotdogs as there are sliders, means:
y = 4x
Ethan's income is 4500 per month a list of some of his expenses appear below what percent of Ethan's expenses is rent
Ethan's income:4500
$975 was spent in rent
percentage of Ethan's expenses on rent:
[tex]\begin{gathered} =\frac{975}{4500}\times100 \\ =21.7 \end{gathered}[/tex]percentage of Ethan's income on rent=21.7%
Lucius has at most $80 to spend on clothes. He wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each T-shirt costs $15. How many shirts can Lucius buy?
Answer:
He can only buy 3 t-shirts
Step-by-step explanation:
80-22= 58
58-(15*3) = 13
A fitness club offers two water aerobics classes. There are currently 40 people in the moming class and
attendance is growing at a rate of 2 people per month. The afternoon class has 22 members and is growing at
a rate of 8 people per month. In how many months will there be the same number of people in each class and
how many people will be in each class?
please help
Answer:
3 months
Step-by-step explanation:
You would set the equations = to each other to identify when they will be the same number of __. The equations to begin with is 40 + 2x and 22 + 8x, you would do 40 + 2x = 22 + 8x and algebraically solve for X, which is the months. so 18 = 6x, x = 3
