Answer:
all real numbers
Step-by-step explanation:
the domain for normal linear and quadratic equations is always all real numbers
In the figure below, BC=7 and AB= 16. Find AC.
The expressions BC and AB are illustrations of straight lines
The length AC is 25 units
How to determine the length of AC?The given parameters are:
BC =7
AB = 16
Assume that AB and BC are straight lines.
Then , we have:
AC =AB + BC
Substitute known values
AC = 16 + 7
Evaluate the sum
AC = 25
Hence, the length AC is 25 units
Read more about lengths at:
https://brainly.com/question/2005046
Linear relationships are important to understand because they are common in the world around you. For example, all rates and ratios are linear relationships. Miles per gallon is a common rate used to describe the number of miles a car can travel on one gallon of gasoline. Dollars per gallon, or the price of gas, is a linear relationship as well. What other relationships can you think of that are linear? How do they affect your everyday life?
Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
Other examples of linear relationships?
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
If you want to learn more about linear relationships, you can read:
https://brainly.com/question/4025726
NOCTI MATH REVIEW
all
1) if the cost of one case of fresh pineapples is $14.95 for a case of 6, and the
calculated waste factor is 15 percent, what is the actual cost of each pineapple?
Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
More can be learned about proportions at https://brainly.com/question/24372153
The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
Find out more on equation at: https://brainly.com/question/2972832
Solve for a
SOLVE ASAP!!
Have a good rest of your Day
A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.
Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
Answer:
d
Step-by-step explanation:
i just finished the test
find the area of the shaded region. please show your work
Answer:
≈184.25
Step-by-step explanation:
1) if r=10 and 'a' is the length of the side of the triangle, then the ratio
a=r√3;
2) the required area can be calculated as
A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;
3) according to the formula above, the required area:
[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair that lasts x hours?
Answer:
15x + 25 = y
Step-by-step explanation:
$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y
The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]
Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p > at</p><p>[tex]at</p><p>
Step-by-step explanation:
f(x) - g(x) = 0
f(x) = g(x)
4.5√x = ⅑ x²
4.5 × 9 = x√x
40.5 = x√x
square it on both side
1640.25= x².x
1640.25 =x³
x=11.7
Let m and n be two positive integers greater than 1 . If
[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]
Then the value of [tex]\dfrac{m}{n}[/tex] is ?
Complete the sentence.
13. The slopes of perpendicular lines are?
Answer:
negative reciprocals of each other
Step-by-step explanation:
internet
Kyle goes to the movies with his friends. Each person buys a ticket and two equally priced snacks at the snack bar. Let ticket price be represented by t and the price of the snacks be represented by s. Kyle says the total cost can be represented by the expression 5(t + 2s). Which explanation represents Kyle’s thinking about how to find the total price?
A.
Add the price for each item bought by each person.
B .
Add the total cost of the tickets with the total cost of the snacks for all the people that went to the movie.
C .
Multiply the ticket total by the snack total.
D .
Multiply the total spent on tickets plus snacks by the number of people who went to the movie.
Answer:
The correct answer is actually D
Step-by-step explanation:
i am 100% correct because i just answered this
See
one ticket means it's only 1t or tTwo equally packed snacks means
2×s2sSo if no of friends be 5
Then total is 5(t+2s)Option D
10. Which expression is equivalent to 4
(4-3)*(4042)* ?
பமccee
A.
4-4
В.
4 3
C
413
D.
4 14
Answer:
C Because the evolution of wasted numbers is incorrect
assume that
show work
Answer:
Assume what? And show work for what?
What is the median of the following numbers? 1, 2, 4, 6, 41,2,4,6,41, comma, 2, comma, 4, comma, 6, comma, 4
Answer:
4
Step-by-step explanation:
Here are the Numbers: 1,2,4,6,41,2,4,6,41,2,4,6,4
First we order from least to greatest;
1,2,2,2,4,4,4,4,6,6,6,41,41
Since the amount of numbers are odd, we just take the middle number:4
in a single drawer, erin has some socks of different colors: 3 black and 9 orange. if she pulls one sock out of the drawer what's the likelihood the sock is black??
650ft2 divided by 2/3
Answer:
I'm 100% sure the answer is 4.24
Step-by-step explanation:
please mark as BRAINLIEST
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.
Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,
[tex]6a = 42[/tex]
First, Amelia must substitute 8 for the variable using parentheses as,
[tex]6(8) = 42[/tex]
To simplify, Amelia must. multiply 8 by 6.
[tex]48 \neq 42[/tex]
The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.
Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Answer:
it is a
Step-by-step explanation:
What is another way to write 3x+9y=-8 to get exactly one solution
Answer:
Step-by-step explanation:
Slope = -0.667/2.000 = -0.333
x-intercept = 8/3 = 2.66667
y-intercept = 8/9 = 0.88889
Answer:
Step-by-step explanation:
Help please. Thank you
Step-by-step explanation:
use the formula and simply solve
Ash company reported sales of $580,000 for year 1, $630,000 for year 2, and $680,000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3??
Answer:
Year 2: 109.4%
Year 3: 118.9%
Step-by-step explanation:
Given;Ash company reported sales of $580,000 for year 1$630,000 for year 2, $680,000 for year 3.Now,
For the revenue trend percent for year 2
Year 2: $580,000 / $530,000 × 100 = 109.4%
For the revenue trend percent for year 3
Year 3: $630,000 / $530,000 × 100 = 118.9%
Thus, The answer is 109.4% and 118.9%.
-TheUnknownScientist 72
The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 576 in^2
SA= 1024 in^2
V= 2240 in^3
Answer:
945 in²
Step-by-step explanation:
The scale factor of two figures is k.
The scale factor of their surface areas is k².
The scale factor of their volumes is k³.
1024 in² / 576 in² = 16/9 = k²
k = √(16/9) = 4/3
k³ = (4/3)³
k³ = 64/27
2240 in³ × 27/64 = 945 in²
VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO
Answer:
Step-by-step explanation:
which of these numbers is a solution of the inequality 3x>18?
Answer:
x>6
Step-by-step explanation:
3x>18
x>6
Any number over 6 can satisfy this inequality.
Jessica is going to paint her
patio. It is made up
of two
rectangles. One measures
7ft. x 4 ft. x 5ft. and the other
measures 10ft. x 8ft. x 6ft.
What is the total area of her
patio?
Answer:
514 square feet
Step-by-step explanation:
2(7×4+4×5+5×7)+2(10×8+8×6+10×6)
=2*83 +2*188
=166+376
=542 square feet
7*4=28
542-28=514 square feet
Answer:
640ft
Step-by-step explanation:
7ft×4ft×5ft = 160
10ft×8ft×6ft=480
Add them together
480+160=640 so the answer is 640ft
A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Answer: a). 1/8
Step-by-step explanation:
If the coin is fair, then the odds of getting heads or tails should be equal, 12.
Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
HELPPPPPPPPP URGENT :(((((((((
Answer:
Step-by-step explanation:
a and b are the parallel sides of the trapezoid.
In the graph, each unit = 2
a = 8 & b= 4
height = h = 8
[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]
[tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]
A bag contains 12 balls which are numbered from 1 to 12. If two ball are selected at random, what is the probability that the total sum of the balls will be an even number
Answer:
5/11.
Step-by-step explanation:
The number of ways 2 balls can be selected = 12P2
= 12!/10!
= 12*11
= 132.
There are 6 even numbers and 6 odd numbers in the bag.
If both numbers drawn are even there are 6P2 = 30 ways that sum is even.
If the 2 numbers are odd there are also 30 ways that sum is even.
Any other combination wil be odd.
So the required probabilit = 2(3) / 132
= 60/132
= 5/11.
1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?
Answer:
10 kg
Step-by-step explanation:
Let x be the mass of her cat.
1)
2x + 6 = 16
2x = 16 - 6
2x = 10
x = 10/2
x = 5
2)
2(5)
= 10
Answer:10kg
Step-by-step explanation:
- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know
A principal of a large high school wants to estimate the true proportion of high school students who use the community's public library. To do so, he selects a random sample of 50 students and asks them if they use the community's public library. The 95% confidence interval for the true proportion of all students who use the community's public library is 0.25 to 0.34. If the principal had used a sample size of 200 students rather than 50 students, how would the length of the second interval compare to the original interval?
O It would be half as wide.
O It would be twice as wide.
O It would be one-fourth as wide.
O It would be four times as wide
ws
Considering the margin of error of a confidence interval, it is found that the correct option is:
It would be half as wide.
What is the margin of error of a confidence interval?It is modeled by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value.s is the standard deviation.n is the sample size.From this, we get that the margin of error is inversely proportional to the square root of the sample size. Then, multiplying the sample size by 4, when it changes from 50 to 200, cuts the margin of error in half, making the interval half as wide.
More can be learned about the margin of error of a confidence interval at https://brainly.com/question/25890103
Answer: It would be half as wide
Step-by-step explanation:
If the principal had used a sample size of 200 students rather than 50 students, the length of the second interval would be half as wide compared to the original interval.
The width of a confidence interval is inversely proportional to the square root of the sample size. In this case, the sample size is multiplied by 4 (from 50 to 200), so the square root of the sample size is doubled. As a result, the width of the confidence interval is divided by 2, making it half as wide.
Therefore, the correct answer is: It would be half as wide.