Answer:
in total there are 80 subjects. I don't know what class width is though.
Step-by-step explanation:
Look at the graph
How do you compare exponential functions?
Answer:
In exponentials, the base is any positive constant not = 1, and the power is the variable x (any real number), or a function of x. So as x increases, a^x is raised to higher and higher powers of a. To compare, say, 2^x and x^2; in x^2, as x increases to x+1, y increases to x^2+2x+1.
hope it helps :)
Laura bought 25 rolls of yarn to make a
blanket. The multi-colored yarn cost $4
per roll. The solid colored yarn cost $3
per roll. She paid a total of $88. How
many different rolls of yarn did she buy?
Let's use a system of equations to represent the problem.
Let m be the number of multi-colored yarn rolls Laura bought and let s be the number of solid colored yarn rolls she bought.
From the problem, we know that:
m + s = 25 (Laura bought a total of 25 rolls of yarn)
4m + 3s = 88 (the total cost of the yarn rolls was $88)
We can use the first equation to solve for one variable in terms of the other. For example, if we solve for s, we get:
s = 25 - m
Now we can substitute this expression for s into the second equation:
4m + 3(25 - m) = 88
Simplifying this equation, we get:
m = 13
So Laura bought 13 multi-colored yarn rolls and 12 solid colored yarn rolls (since 13 + 12 = 25).
8g=36 solve for the variable
Answer:
g = 4.5
Step-by-step explanation:
8g = 36
g = 36/8
g = 4.5
MOSS 79 grom Volume 10 m
Mass=79gram
Volume=10ml
density=Mass/Volume
\(\text{Density}=\frac{79\text{gram}}{10ml}=7.9\text{ gram/ml}\)5. The number that is to be divided in a division problem is the
_______________
Answer:
z I need this in essay form......
Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.
Answer:
dividend
Step-by-step explanation:
answer - dividend
Learn with an example
or
Watch a tutorial
Que:
ansv
Find the slope of the line that passes through (9, 3) and (2,8).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
A + A = 2
B + B = 3
A + B x 2 = ?
Answer:
1+1.5x2 is 5 okkkkkkkkkkkk
Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline EndFraction. Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.
Answer:
d. Keep the base the same and then subtract the exponents.
Step-by-step explanation:
To simplify the expression, keep the base the same and then subtract the exponents, the correct option is D.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is
\(\rm \dfrac{3^{-6}}{3^{-4}}\)
According to the exponent rule
\(\rm m^a/m^b = m ^{a-b}\)
3⁻⁶⁻⁽⁻⁴⁾
3⁻²
1/9
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what is the difference between 5 cu ft and 5.0 cu ft
Answer:
There is no difference between 5 cu ft and 5.0 cu ft.
HELP! Which triangles are congruent?
9514 1404 393
Answer:
4. A, B, C, and D
Step-by-step explanation:
Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.
Which lines are parallel if the m<2 = m<6? Lines r & s or lines l & m
(Click document to see image)
In the given picture with 4 lines l, m and r, s. The l and m, r and s line are parallel lines.
Given that,
There is a picture with 4 lines l, m and r, s.
We have to check that those lines are parallel or not
To check that the line are parallel we have a condition.
If two lines are cut by the transversal and corresponding angles are congruent then we can say that those 2 lines are parallel.
In the figure we can see that ∠2 and∠6 are congruent.
So, we can say that lines r and s are parallel lines.
Similarly,
In the figure we can see that ∠1 and∠7 are congruent.
So, we can say that lines l and m are parallel lines.
Therefore, the l and m, r and s line are parallel lines.
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Special Lines: Tutorial
12 of 25
E Save & Exit
Which equation represents a line that's parallel to line JK and passes through point P(6,-2)?
Select the correct answer.
- -2
Oy = {x - 14
Oy = x - 5
Oy = 2x – 14
Oy = 2x - 5
Answer:
y= 1/2x-5
Step-by-step explanation:
Which value of x is a solution of x < -2?
A.
-3
B. -2
C.
-1
D. 0
Answer:
A
Step-by-step explanation:
-3<-2
ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 tablespoons more. John only has measuring cups which got him a bit confused. How many cups he needs to serve the customer to make it up to his order?
Answer:
the answer to this question 2 cups
Step-by-step explanation:
2 cups is equal to a pint
It costs Camp, Inc. $38 per unit to manufacture 1,000 units per month of a product that it can sell for $54 each. Alternatively, Camp could process the units further into a more complex product, which would cost an additional $33 per unit. Camp could sell the more complex product for $81 each. How would processing the product further affect Camp's profit?
Further processing of the product will lead to a decrease Camp in profit by $6,000.
What is profit?Profit is the money left with a company after paying for business expenses from the question;
In the first scenarioWe calculate the profit as;So, Profit in current = 1,000 units × ( $54 - $38)= $16,000In the second scenario;
If we process further, than the profit will be as follows:
Profit after processing = 1,000 units × ( $81 - ( $38 + $33))
= 1,000 units × ( $81 - $71)= $10,000
So, Change in profit = $10,000 - $16,000 = -$6,000 (negative shows decrease)So, Further processing will decrease profit by $6,000.
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Please help I will give all stars!! I have a text on this tomorrow!!
5x - 3y = 7 is in slope intercept form is y = 5/3x - 7/3
How do you write slope intercept form?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
You can utilize two different versions of a line's general form to figure out its equation.
These are the formulas:
1) (y - y1) = m (x – x1), the Point-Slope Formula
2) The formula for slope-intercept, y = mx + b
The form you use depends on the information you are provided at the beginning, as the names suggest.
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During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:
a. probably equal.
b. probably unequal.
c. incomparable.
Answer:
Probably unequal ( B )
Step-by-step explanation:
experimental group = 10
using 85% ethanol gasoline
mean = 240 pounds per 100 miles
standard deviation = 20 pounds
control group = 14 vehicles
using regular gasoline
mean = 252 pounds per 100 miles
standard deviation = 15 pounds
comparing the sample variance of each group shows that they are probably unequal using the equation below
Variance for a sample set of data = ∑ ( x - X ) ^2 / n - 1
where n = number of events
X = mean value
x = value of events
Jus help im in a timed assigment
What are the vertices of A'B'C if ABC is dilated by a scale factor of 2?
The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;
C. A'(0, 20), B'(16, 12), C'(8, 4)Which method can be used to find the vertices of A'B'C'?Given that triangle ABC is dilated by a scale factor of 2, we have;
A'B' = 2 × AB
A'C' = 2 × AC
B'C' = 2 × BC
Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5
Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5
Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2
By multiplying the given coordinates by the scale factor, we have;
A' = 2 × (0, 10) = (0, 20)
B' = 2 × (8, 6) = (16, 12)
C' = 2 × (4, 2) = (8, 4)
A'B' = √((16-0)^2 + (12-20)^2) = 8•√5
A'C' = √((8-0)^2 + (4-20)^2) = 8•√5
B'C' = √((16-8)^2 + (12-4)^2) = 8•√2
Therefore when we have;
A'(0, 20), B'(16, 12), C'(8, 4), we get;
A'B' = 2 × ABA'C' = 2 × ACB'C' = 2 × BCThe correct option is therefore;
C. A'(0, 20), B'(16, 12), C'(8, 4)Learn more about finding the distance between points on the coordinate plane here:
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center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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Please show work and thanks
Answer:
x = 8
each side is 74
Step-by-step explanation:
set two sides equal to each other
see image
Write The Following results into Their Equivalent logarithm form :
• ( 8 )³ = 512
\( \: \: \: \: \)
Compare with y = ax we get
y = 512 , a = 8 , x = 3Now, Logarithmic Form Is
\( \sf \: x = log \: \: \bold{ay }\)\( \: \: \: \)
\( \sf \:3 = log_{8}(512) \)\( \: \: \: \)
\( \sf \: i.e = \boxed{ \sf log_{8}(512) = 3} \)Hope Helps~In this exercise we will use the knowledge of equation of the line plus the knowledge of logarithm, like this:
\(3=log_8 (512)\)
First, we have the following values informed, such as:
y = 512 a = 8 x = 3Knowing that the formula for the equation of the line is given by:
\(y = ax \\512=8*3\)
The logarithm form will be:
\(x=log_ay\\3=log_8 (512)\)
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9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answer:
what we have to find or to prove.
The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are there?
Step-by-step explanation:
let the ration be c
3x and 4x
Now
3x +4x=24
Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
Please help me solve this problem
If cot Theta = Two-thirds, what is the value of csc Theta? StartFraction StartRoot 13 EndRoot Over 3 EndFraction Three-halves StartFraction StartRoot 13 EndRoot Over 2 EndFraction Eleven-thirds
Answer:
csctheta= \(\frac{\sqrt{13} }{3}\)
Step-by-step explanation:
answer is provided on top
The value of the \(\rm cosec \theta = \frac{\sqrt{13} }{3}\). Cosec is found as the ratio of the hypotenuse and the perpendicular.
What is trigonometry?The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle
The given data in the problem is;
\(\rm cot \theta = \frac{2}{3}\)
The \(cot \theta\) is found as;
\(\rm cot \theta = \frac{B}{P} \\\\ \rm cot \theta = \frac{2}{3} \\\\ B=2 \\\\ P=3 \\\\\)
From the phythogorous theorem;
\(\rm H=\sqrt{P^2+B^2} \\\\ \rm H=\sqrt{2^2+3^2} \\\\ H=\sqrt{13} \\\\\)
The value of the cosec is found as;
\(\rm cosec \theta = \frac{H}{P} \\\ \rm cosec \theta = \frac{\sqrt{13} }{3}\)
Hence the value of the \(\rm cosec \theta = \frac{\sqrt{13} }{3}\).
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At the local Dairy Mart, you can buy one ice cream sandwich and two ice cream cones for $8 or one ice cream sandwich and one ice cream cone for $5. This situation can be represented with the system 2x+y=8
and x+y=5
, where x
represents the cost of an ice cream cone and y
represents the cost of an ice cream sandwich.Use the system of equations to determine the cost of one ice cream sandwich and one ice cream cone.
The solution for the system of linear equations is given by ( 2,3) with cost of one ice cream cone as $2 and cost of one ice cream sandwich as $3.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The system of linear equations are 2x+y=8
and x+y=5
Solving the system of linear equations by the method of elimination we get
2x+y=8
2x+2y=10
__________
-y=-2
Thus y=2 and x=8-2 / 2
=3
Hence, The solution for the system of linear equations is given by ( 2,3)
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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