Answer: Hi, I think your answer is gonna be 260 dollars! Have a good day!
Step-by-step explanation:
Find the y intercept for a line with a slope or 2 that goes through (5, 4)
Answer:
y- intercept = - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here slope m = 2 , then
y = 2x + c ← is the partial equation
to find c substitute (5, 4 ) into the partial equation
4 = 2(5) + c = 10 + c ( subtract 10 from both sides )
- 6 = c
that is the y- intercept c = - 6
What is the scale of the x-axis in this coordinate graph?
A. 1 tick mark represents 0.1 unit
B. 1 tick mark represents 0.2 unit
C. 1 tick mark represents 0.3 unit
D. 1 tick mark represents 0.4 unit
Answer:
B. 1 tick mark represents 0.2 unit
Step-by-step explanation:
Looking at the axis and going over 2 tick marks is .4
.4 /2 = .2
Each tick mark is .2 units
A chambered nautilus is a marine animal that lives in the outermost chamber of its shell
The chambered nautilus is a fascinating marine animal that belongs to the family of cephalopods.
It is notable for its unique, spiral-shaped shell that is divided into a series of chambers.
The nautilus lives in the outermost chamber of its shell, which it can control by adjusting the amount of gas and fluid inside it. This allows the nautilus to regulate its buoyancy and move up or down in the water column.
The nautilus has been around for millions of years and is sometimes called a "living fossil" because of its ancient lineage.
Unfortunately, due to overfishing and habitat destruction, many species of nautilus are now endangered.
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The given question is incomplete, the complete question is:
A chambered nautilus is a marine animal form which family?
jasmine bikes the same distance every day. in 8 days, she biked a total of 32 miles. How far will she bike in 5 days?
Answer:
20
Step-by-step explanation:
She biked an equal amount each day for 8 days to a total of 32 miles. We can write that as 8x = 32. 32/8 = 4 so x = 4. To find how much shell bike in 5 days, we multiply it by x(4). 5*4 = 20.
every year 5 rows and 5columns are increased . derive the formula for the number of students in each row
The number of students in each row after any number of years, as long as the increase in rows and columns is uniform every year.
Assuming that the increase in rows and columns is uniform every year, we can derive the formula for the number of students in each row as follows:
Let's start with the initial number of rows and columns, which we'll call R0 and C0, respectively, and the number of students in each row, which we'll call S.
After one year, the number of rows and columns will increase by 5, so we'll have R1 = R0 + 5 and C1 = C0 + 5. The total number of students will be R1 x S. We can also express this in terms of the initial number of rows and columns as:
R1 x S = (R0 + 5) x S
Expanding the brackets, we get:
R1 x S = R0 x S + 5 x S
Subtracting R0 x S from both sides, we get:
(R1 - R0) x S = 5 x S
Dividing both sides by 5 x (R1 - R0), we get:
S = 5 / (R1 - R0)
We can use this formula to calculate the number of students in each row after any number of years, as long as the increase in rows and columns is uniform every year.
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What is the end behavior for f(x) = 2x^3 -3x -4x^4+1
Based on the given polynomial function, as x approaches positive or negative infinity, the function f(x) = 2x³ - 3x - 4x⁴ + 1 approaches negative infinity.
What is the end behavior of the function?The end behavior of a polynomial function is determined as follows:
Examine the leading term of the function f(x) = -4x⁴ + 2x³ - 3x + 1
The leading term of the function is -4x⁴.
For large positive values of x, as x approaches positive infinity, the leading term -4x⁴ becomes increasingly negative since x⁴ grows faster than any positive constant.
Therefore, the end behavior of the function as x approaches positive infinity is that f(x) approaches negative infinity.
Similarly, for large negative values of x, as x approaches negative infinity, the leading term -4x⁴ becomes increasingly negative since x⁴ grows faster than any positive constant.
Therefore, the end behavior of the function as x approaches negative infinity is that f(x) approaches negative infinity.
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Work out the area of the shaded shape on the millimetre (mm) grid.
State the units with your answer.
The diagram is not drawn to scale.
The requried area of the shaded shape is 5 square millimeters.
From the figure,
The area of the green shaded area is given by:
The area of a single square is given as = 1 * 1 = 1 square millimeters.
Now there is 5 square in the shaded region, So the area is given as:
= 5 * 1 = 5 square millimeters.
Thus, the requried area of the shaded shape is 5 square millimeters.
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please help with geometric series
Answer:
[tex]C. -5.15\cdot10^{13}[/tex]
Step-by-step explanation:
[tex]Common\ ratio\ (r)=\frac{a_{n+1}}{a_n}=(-3)\\\\Sum\ (S_n)=\frac{a(r^n-1)}{r-1}\ \ (r\neq1)\\\\\implies S_n=\frac{1\ (\ (-3)^{30}-1\ )}{-4}\\\\\implies S_n=\frac{205891132094649-1}{-4}\\\\\approx\frac{206\cdot10^{12}}{-4}\\\\\approx-5.15\cdot10^{13}[/tex]
Is this negative and odd or even and positive or negative and even and positive and odd?
Answer:
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Step-by-step explanation:
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209 g = ___ kg
0.0209
0.209
20,900
209,000
Three students share pawpaw as follows: Mark get 1/4 of the total and the remainder is shared between Eric and Francis in a ratio 2:3. If Eric get 48 pawpaws does Mark and Francis had ?
The total number of pawpaws was 160, which can be found by using simple equations considering the amount taken by Eric and the proportion.
How to find the total numberLet's start by finding out how many pawpaws are left after Mark takes 1/4 of the total. Let T be the total number of pawpaws. Mark gets 1/4 of T, which means there are 3/4 of T left:
3/4T = Total number of pawpaws - Mark's share
3/4T = T - 1/4T
3/4T = 3/4T
So, 3/4T is the amount shared between Eric and Francis. The ratio of Eric's share to Francis' share is 2:3. Let's call Eric's share E and Francis's share F.
E/F = 2/3
We can use this ratio to write an equation for Eric's share in terms of F:
E/F = 2/3
E = (2/3)F
We know Eric's share is 48, so we can substitute that into the equation and solve for F:
E = (2/3)F
48 = (2/3)F
F = (48*3)/2
F = 72
So, Francis has 72 pawpaws.
We can now find out how many pawpaws Mark got:
Mark's share + Eric's share + Francis's share = Total number of pawpaws
1/4T + E + F = T
1/4T + 48 + 72 = T
T = 480/3
T = 160
So, the total number of pawpaws is 160. Mark got 1/4 of the total, which is:
Mark's share = (1/4)*160 = 40
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Can someone help me with this? Thank you
The area of the triangle is 6 sq units.
What is the area of the triangle?The area of the triangle is calculated by applying the following formula;
A = ¹/₂ x b x h
where;
b is the base of the triangleh is the height of the triangleThe base of the triangle = 3 - 0 = 3
The vertical height of the triangle = 5 - 1 = 4
Area = ¹/₂ x 4 x 3
Area = 6 sq units.
Thus, the area of the triangle is a function of base and height.
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Ciara needs 4 yards of fabric for a dress. She already had 2 1/4 yards of fabric Convert 32/5 to a mixed number
The cosine of θ is −0.95. What is sin(θ)?
The value of sin(θ) is 0.31 and it lies in the third and fourth quadrants. if the value of the cosine of θ is −0.95.
cos(θ) = -0.95
To calculate the value of sin(θ), we can use the Pythagorean theorem:
[tex]sin^{2}[/tex] (θ) +[tex]cos^{2}[/tex] (θ) = 1
We can rearrange the Pythagorean identity to solve for sin(θ):
[tex]sin^{2}[/tex] (θ)= 1 - [tex]cos^{2}[/tex]
sin(θ) = ±[tex]\sqrt{1-cos^{2}}[/tex] *(θ)--------- (equation 1)
Substitute the value of the cosine of θ = −0.95 in Equation 1
sin(θ) = ±[tex]\sqrt{1-cos^{2}}[/tex] *(θ)
sin(θ) = ±[tex]\sqrt{(1 - 0.9025)}[/tex]
sin(θ) = ±[tex]\sqrt{0.0975}[/tex]
The positive value determines that the value is in the first and second quadrants, Negative shows the third and fourth quadrants.
sin(θ) = [tex]\sqrt{ 0.0975}[/tex]
sin(θ) = 0.312
Therefore, we can conclude that the value of sin(θ) is 0.312.
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60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answer:
800 books
problem solving steps：
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
Can someone please help me with this? Explaining would really help thank you
The solution of the equation is x=1/2 and y=1/3
The given equations are
18x+12y=13...(1)
30x+24y=23...(2)
Let us form the matrix form to solve the equation
[tex]\left[\begin{array}{ccc}18&12\\30&24\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}13\\23\end{array}\right][/tex]
Multiply equation (1) with 2
36x+24y=26..(3)
Subtract equation 3 from equation 2
30x+24y-36x-24y=23-26
-6x=-3
x=1/2
Now plug in the value of x in equation 1
18(1/2)+12y=13
9+12y=13
12y=4
y=4/12
y=1/3
Hence, the solution of the equation is x=1/2 and y=1/3
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What are the solutions to the system of equations graphed?
Answer:
(- 2, 0 ) , (1, - 3 )
Step-by-step explanation:
the solutions to the system of equations are at the points of intersection with the curve and the straight line.
points of intersection are at (- 2, 0 ) and (1, - 3 ) , then
solutions are (- 2, 0 ) , (1, - 3 )
S and P are the midpoints of the
legs, RT and QU, of trapezoid QRTU.
If QR
TU =
X?
= -6x + 37, PS = x + 33, and
= 2x + 41, what is the value of
The value of x in the trapezoid is 2.
How to find the side of a trapezoid?The mid points of a trapezoid is a line that goes across from the middle of one leg to the middle of the other leg.
Using the mid point theorem, let's find the value of x in the trapezoid as follows:
PS = 1 / 2 (QR + TU)
PS = x + 33
QR = -6x + 37
TU = 2x + 41
Therefore,
x + 33 = 1 / 2 (-6x + 37 + 2x + 41)
x + 33 = 1 / 2 (-4x + 78)
x + 33 = -2x + 39
x + 2x = 39 - 33
3x = 6
divide both sides by 3
x = 6 / 3
x = 2
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Mary has a lemonade stand.Last week she spent $18.00 on supplies,but earned only $12.00.Did Mary make a profit ?Explain and show problem as a mathematical equation.
They need to sell at least 13 cups to gain profits.
Here, we have,
Givens
The initial cost is $1.20.
Each cup of lemonade costs 6 cents to make.
May's children sell 10 cents a cup.
First, we need to represents the cost of their investment.
0.06x = 1.20, because each cup costs 6 cents, and the initial costs of all is $1.20.
That means,
x= 20
They can produced 20 cups.
However, they already sell a cup for 10 cents. So, how many cups they need to sell to gain profits? We need to establish a similar relation,
0.10 x = 1.20
x = 12
This means if they sell 12 cups, they will just cover the investment, that is, zero profits.
Therefore, they need to sell at least 13 cups to gain profits.
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complete question
Mary's children decide to run a lemonade stand to earn some extra money.The cost to start the business is $1.20 and each cup of lemonade costs 6 cents to make. If lemonade sells for 10 cents a cup,how many cups must Mary's children sell to make a profit?----Apply systems of equations
johnny can build in 3 1/2 lego planes in 60 minutes. how many can he build in 40 minutes?
The number of lego planes that can be build in 40 minutes is A = 2.33
Given data ,
Johnny can build in 3 1/2 lego planes in 60 minutes
On dividing the number of planes he can build in 60 minutes (3 1/2) by 60:
From the proportion , we get
To find out how many planes he can build in 40 minutes, we can multiply the amount he can build in one minute by 40:
3.5 / 60 = A / 40
Multiply by 40 on both sides , we get
A = 2.33
Hence , Johnny can build approximately 2.33 lego planes in 40 minutes
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Which condition would prove ΔJKL ~ ΔXYZ?
The condition that will prove the two triangles similar is
side JL = 8 * side ZX
angle L = angle Z
What are similar triangles?Similar triangles are triangles which have the similar shape however not necessarily the equal size. More officially, two triangles are comparable if their corresponding angles are congruent and their corresponding aspects are in proportion.
This means that if we had been to scale one triangle up or down uniformly, the ensuing triangle could be much like the original triangle.
In the figure, the scale is 8
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Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Which equation can be used to solve for � xx in the following diagram?
Equation which can be used to solve for the value of x is
3x° + 2x° + 80 °= 180° .
Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.
As shown in the diagram angle on the lines are -
3x ° , 80° , 2x° respectively
Sum of all these angle will be equal to 180°.
3x° + 2x° + 80° = 180
The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .
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how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
The circle graph shows how Josh's family budgets a total of $6200 for the month.
Housing
$1178
Category
Clothing
Insurance
Transportation
Taxes
$1364
Taxes
Food
$868
$248 Insurance
$186
Utilities
$496
Savings
$434
Find the percentage of the total budgeted for each category listed below.
Percentage
0%
0%
0%
Clothing
Entertainment
$682
The percentage of the total budgeted category is given by
a) Clothing : 12 %
b) Insurance : 3 %
c) Taxes : 22 %
Given data ,
Let the percentage value be represented as A
Now , the value of A is
Let the total budgeted amount be = $ 6,200
Now , the amount for clothing = $ 744
So , the percentage for clothing = 744 / 6200 = 12 %
And , the amount for insurance = $ 186
Now , the percentage for insurance = 186 / 6200 = 3 %
And , the amount for taxes = $ 1,364
So , the percentage for taxes = 1364 / 6200 = 22 %
Hence , the percentages are solved
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A triangle has side lengths of 13, 18, and 24. Is it a right triangle?
Answer:
No, it is not a right triangle.
[tex] \sqrt{ {13}^{2} + \ {18}^{2} } = \sqrt{169 + 324} = \sqrt{493} [/tex]
√493 is not equal to 24.
Answer:
it doesn't
Step-by-step explanation:
it doesn't follow pythagoras theorem
a² = b² + c²
Diondra wants to know the most popular movie of this year but is unsure of the best way to determine this answer. Which of the following questions would Diondra ask that does NOT allow for variability?
Which movie did her best friend like the most?
How many awards did each movie win?
What is the total dollar amount that each movie made from ticket sales?
How many weeks did each movie play in the theater?
The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?
How does this question not show variability ?The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.
However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.
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Joe King thinks he is "top notch" and buys a bouquet of flowers to pass out to all the ladies... The bouquet has 7 purple tulips, 9 yellow daisies and 12 pink roses. He grabs a flower from the bouquet and gives it to Anita Bath. Then Joe grabs another flower and gives it to Lois Price.
What is the probability that Anita gets a purple tulip and Lois gets a pink rose?
The probability that Anita gets a purple tulip and Lois gets a pink rose is 1/9.
How to calculate the probabilityTotal number of flowers in the bouquet = 7 purple tulips + 9 yellow daisies + 12 pink roses = 28 flowers.
P(Anita gets a purple tulip) = 7 purple tulips / 28 total flowers = 7/28 = 1/4.
P(Lois gets a pink rose) = 12 pink roses / 27 remaining flowers = 12/27 = 4/9.
P(Anita gets a purple tulip and Lois gets a pink rose) = P(Anita gets a purple tulip) * P(Lois gets a pink rose)
= (1/4) * (4/9) = 1/9.
Therefore, the probability that Anita gets a purple tulip and Lois gets a pink rose is 1/9.
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What is the measure of this angle?
60
80
120
125
Answer:
60
Step-by-step explanation:
180 - 120 = 60
Find the greatest common factor of 56xy and 16y³.
Answer:
8y
Step-by-step explanation:
Lets put these two parts into addition to make it easier.
(y)56x + 16y^2
(8y)7x + 2y^2
8y is the GCF(grates common factor)