Answer:
A
Step-by-step explanation:
thomas read faster than brice!!! wheres the graph btw?
The correct statement of the given ones is that Thomas is reading at a faster rate than Brice.
What is the general equation of straight line? What is a mathematical function, equation and expression?straight line : The general equation of a straight line is -[y] = mx + c
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given are Brice and Thomas who are reading the same book. The graph
shows the number of pages that Brice read in a week and the equation
y = 21x + 33 shows the number of pages that Thomas read in a week.
The given equation for Thomas that shows the number of pages that Thomas read in a week is -
y = 21x + 33
The slope of the line is -
m = 21
Thomas is reading 21 pages per week.
For the graph of Brice, it passes through the points (0, 43) and (6, 163). So, we can find the slope as -
m = (163 - 43)/(6 - 0)
m = 120/6
m = 20
Brice is reading 20 pages per week.
Therefore, the correct statement of the given ones is that Thomas is reading at a faster rate than Brice.
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{Complete question -
Brice and Thomas are reading the same book. The graph shows the number of pages that Brice read in a week. Graph in the coordinate plane with title pages read by Brice. Vertical axis goes from 0 to 250 in increments of 10 and is labeled number of pages read. Horizontal axis goes from 0 to 7 in increments of 1 and is labeled time in days. A ray on the graph starts at point begin ordered pair 0 comma 43 end ordered pair and goes through point begin ordered pair 6 comma 163 end ordered pair.
The equation y = 21x + 33 shows the number of pages that Thomas read in a week with y representing the number of pages and x representing the number of days.
Which statements about the reading of the two boys are true?
Select each correct answer.
Thomas reads 20 pages each day.
Thomas is reading at a faster rate than Brice.
Brice reads 33 pages each day.
Brice started the week with more pages read than Thomas.}
The diameter of the smallest bacteria is .0000002 meters. Rewrite this number in scientific notation.
Blank × 10 blank meters
Answer:
2.0*10^(-7) meters
Step-by-step explanation:
We'll need to move the decimal point 7 places to the right, obtaining 2.0, and then multiply this 2.0 by 10^(-7).
This diameter is 2.0*10^(-7) meters.
Answer:
2x2^10m
Step-by-step explanation:
0.0000002
whats the volume of the box
You can deduct that the height of the first box is 5cm. Since the next box is 3x the size, that means it’s height is 15. So 30*30*15= 13500.
Your answer is 13500 cm^3
Have a blessed day,
Jrodt
Answer:
13500 cm³
Step-by-step explanation:
The linear ratio = 10 : 30 = 1 : 3
The volume ratio = 1³ : 3³ = 1 : 27
Thus the volume of the larger box is 27 times larger than the volume of the smaller box
volume = 500 × 27 = 13500 cm³
Twenty-seven minus of a number (x) is not more than 36. What is the number? A. x > 42 B. x ≥ -6 C. x < 3 D. x ≤ -6
Answer:
x ≥ - 9Step-by-step explanation:
Twenty-seven minus of a number (x) is not more than 36
27 - x ≤ 36 subtract 27 from both sides
27 - 27 - x ≤ 36 - 27
-x ≤ 9 change the signs
x ≥ - 9
Answer:
x ≥ -6
Step-by-step explanation:
got it right
13 is 26 percent how
Answer:
Multiply by 2
Step-by-step explanation:
The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. Is y a function of X. Write an equation describing x as a function of y
Using proportional relationships, it is found that:
y is a function of x, given by [tex]y = 9.6x[/tex].x as a function of y is given by [tex]x = \frac{9.6}{x}[/tex]What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
k is the constant of proportionality.
In this problem, considering:
x as the number of hours she works. y as her earnings.Lin's sister earns $9.60 per hour.Hence, y is a function of x, given by:
[tex]y = 9.6x[/tex]
Also, we can write x as a function of y, as follows:
[tex]x = \frac{y}{9.6}[/tex]
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Yes, y is a function of x as earnings are proportional to hours worked. The equation describing x as a function of y is x = y/9.60, since Lin's sister earns $9.60 per hour.
The problem states that the amount Lin's sister earns at her part-time job is proportional to the number of hours she works, and she earns $9.60 per hour. To answer the question whether y is a function of x, yes, y is indeed a function of x because for each value of x (number of hours worked), there is exactly one value of y (the earnings).
To write the equation describing x as a function of y, we start with the standard form of the equation for a direct proportion: y = kx, where k is the constant of proportionality. In this case, k is $9.60 per hour. So, the equation would normally be written as y = 9.60x. However, the question asks for x as a function of y. Therefore, we need to rearrange the equation to solve for x: x = y/9.60.
The graphs below have the same shape. What is the equation of the blue graph
Answer:
C. [tex]g(x)=(x-2)^2[/tex]
Step-by-step explanation:
Remember the rules for function transformations:
- [tex]f(x+a)[/tex] shifts the function, [tex]f(x)[/tex], [tex]a[/tex] units to the left
- [tex]f(x-a)[/tex] shifts the function, [tex]f(x)[/tex], [tex]a[/tex] units to the right
We can infer from the picture that the blue graph is shifted 2 units to the right of the red graph, so we should apply the second rule:
[tex]f(x)=x^2[/tex]
[tex]g(x-2)=(x-2)^2[/tex]
[tex]g(x)=(x-2)^2[/tex]
We can conclude that the correct answer is C. [tex]g(x)=(x-2)^2[/tex]
which graph represents the function f(x) =2|x|?
Answer:
the third graph
The correct graph is Graph 3.
Step-by-step explanation:We are given a modulus function f(x) by:
[tex]f(x)=2|x|[/tex]
We will go through the following graphs by checking the value of the graph at some value of x and see whether the value on the graph at that x matches the value of f(x) at that particular x.
when x=1 we have:
[tex]f(x)=2\times |1|\\\\f(x)=2[/tex]
Graph 1:
When x=1
we have:
[tex]f(x)=0.5\neq 2[/tex]
Hence, Graph 1 does not represent the given function.
Graph 2:
when x=1 we have:
[tex]f(x)=1\neq 2[/tex]
Hence, Graph 2 is not the answer.
Graph 4:
when x=1 we have:
[tex]f(x)<2[/tex]
Hence, graph 4 is not the correct graph to represent f(x).
Hence, we are left with Graph 3.
When we plot the function f(x) we see that it matches the graph 3.
8 ⋅ 3^2 + 3
2^2 ⋅ 8 ÷ 2 + 2
Answer:
23
Step-by-step explanation:
For this case we have that the order of algebraic operations must be carried out in the following way, according to the PEMDAS method:
P
Parenthesis first
E
Exponents (powers and square roots, etc.)
MD
Multiplication and Division (from left to right)
AS
Addition and Subtraction (from left to right)
We have two expressions:
[tex]8 * 3 ^ 2 + 3 =\\8 * 9 + 3 =\\72 + 3 =\\75[/tex]
The second expression is:
2^2 * 8÷2 + 2 =
4 * 8÷2 + 2 =
32÷2 + 2 =
16 + 2 =
18
ANswer:
75 and 18
Tracy needs to find the length and width of the equipment storage room where she works. The room is 2 meters longer than it is wide. Its perimeter is 16 meters.
What is the width in meters?
Answer:
3 meters
Step-by-step explanation:
We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.
We know it's a rectangle and not a square because it is longer than wide.
We have the perimeter measurement (16 meters).
So, we can make the following equation:
2x + 2y = 16
x being the width of the room, y being it's length. A perimeter is the sum of all sides.
We also know the room is 2 meters longer than wide... so:
y = x + 2
If we replace y in the first equation by its value relative to x, we get:
2x + 2(x + 2) = 16 which becomes
2x + 2x + 4 = 16
4x =12
thus x = 3
Width: 3 meters
Length: 5 meters.
Confirms the 16 meters perimeter.
Answer:
Width = 3 meters
Step-by-step explanation:
We are given that for an equipment storage room, it is 2 meters longer than its width and the perimeter of this room is 16 meters.
Given the above information, we are to find the width of the room.
Perimeter = [tex]2l+2w[/tex]
Supposing [tex]x[/tex] to be the width and [tex]x+2[/tex] to the length, we can write it as:
[tex]16=2(x)+2(x+2)[/tex]
[tex]16=2x+2x+4[/tex]
[tex]12=4x[/tex]
[tex]x=\frac{12}{4}[/tex]
x = 3
Therefore, the width = 3 meters.
Find the area of the trapezoid.
Please Help me really quick!
Which statement about the slope of the line is true?
It is 3 throughout the line.
It is 1/3 throughout the line.
The slope from point O to point A is 1/3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
It is 1/3 throughout the line.
Step-by-step explanation:
It is 1/3 throughout the line.
Add (4x-3)+(2x-4)
Please help !!!
Answer:
A: 6x - 7
Step-by-step explanation:
You may find it helpful to rearrange these two quantities vertically:
Add:
(4x-3)
+(2x-4)
--------------
6x - 7
This corresponds to the first possible answer listed: A.
The simplified expression is 6x - 7.
Hence the correct option is A.
Given is an expression (4x-3) + (2x-4), we need to perform addition operation to simplify the expression.
You must combine like terms in the provided expression, (4x-3) + (2x-4), to make it simpler.
Similar terms are those that share a variable and an exponent.
Group terms that are similar together.
(4x - 3) + (2x - 4)
Add the like terms' coefficients.
(4x + 2x) + (-3 - 4)
Add the coefficients together.
6x - 7
Therefore, the simplified expression is 6x - 7.
Hence the correct option is A.
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the morgan famili and the alexander family each ised their sprinkles last summer. the water output was 20. l per hour. The water output rate for the Alexander family ‘s sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in total water output of 1400 L. How long was each sprinkler used?
Answer:
number of hours Alexander family ‘s sprinkler work = 20
number of hours Morgan family ‘s sprinkler work = 30
Step-by-step explanation:
Given in the question,
water output rate for the Alexander family ‘s sprinkler = 40 L
water output rate for the Morgan family ‘s sprinkler = 20 L
Suppose, number of hours Alexander family ‘s sprinkler work = x
Suppose, number of hours Morgan family ‘s sprinkler work = y
Equation1
x + y = 50
Equation 2
40x + 20y = 1400
x = 50 - y
Put this value of x in equation 2
40(50-y) + 20y = 1400
2000 - 40y + 20y = 1400
-20y = 1400 - 2000
-20y = -600
y = 30
Put this value of y in equation 1 to get the value of x
x + 30 = 50
x = 50 - 30
x = 20
The run is the what
change between two points on a line
Answer:
The Rate of Change between two points on a line
Answer:
horizontal
Step-by-step explanation:
Help me what is the answer?!
Answer:
Hence choice A is correct
Step-by-step explanation:
Given equations are [tex]f(x)=\sqrt{x^2-1}[/tex] and [tex]g(x)=\sqrt{x-1}[/tex]
Now we need to find the value of [tex]\left(\frac{f}{g}\right)\left(x\right)[/tex]. Then select correct matching choice from the given choices.
Now let's find [tex](fof)(3)[/tex]
[tex]\left(\frac{f}{g}\right)\left(x\right)[/tex]
[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}[/tex]
[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{\sqrt{x^2-1}}{\sqrt{x-1}}[/tex]
[tex]\left(\frac{f}{g}\right)\left(x\right)=\frac{\sqrt{\left(x+1\right)\left(x-1\right)}}{\sqrt{x-1}}[/tex]
[tex]\left(\frac{f}{g}\right)\left(x\right)=\sqrt{x+1}[/tex]
Hence choice A is correct
Answer:
a. (f/g)(x) = √x+1
Step-by-step explanation:
We have given two function.
f(x) = √x²-1
g(x) = √x-1
We have to find the quotient of f(x) and g(x).
(f/g)(x) = ?
The formula to find (f/g)(x) is :
(f/g)(x) = f(x) / g(x)
simplifying f(x) , we have
f(x) = √(x-1)(x+1)
f(x) = (√x-1)(√x+1)
Putting values in above formula, we have
(f/g)(x) = (√x-1)(√x+1) / √x-1
(f/g)(x) = √x+1 which is the answer.
write the following decimal number in it’s equivalent fraction form. -3.143
Answer:
-3 143/1000
Step-by-step explanation:
To write -3.143 in its equivalent fraction form, multiply the whole number part by the place value of the decimal and add it to the decimal part multiplied by the place value. The resulting fraction is -3143/1000.
Explanation:To write the decimal number -3.143 in its equivalent fraction form, we first need to determine the place value of each digit. The number -3.143 has three digits after the decimal point, so the fraction's denominator will be ten, raised to the power of three, which is 1000. The fraction's numerator will be the whole number part of the decimal (in this case, -3) multiplied by 1000, plus the decimal part (0.143) multiplied by 1000.
Therefore, the equivalent fraction form of -3.143 is:
-3.143 = (-3 * 1000 + 0.143 * 1000) / 1000 = -3143 / 1000
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The speed limit is 45 miles per hour. Write an inequality that represents this situation
Answer:
45 mph ≠ 40 mph
Step-by-step explanation:
What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4
Answer: [tex]x=\±2\sqrt{10}[/tex]
Step-by-step explanation:
To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:
- Subtract 40 from both sides of the equation.
- Multiply both sides of the equation by -1
- Apply square root to both sides of the equation.
Therefore, by applyin the steps above, you obtain:
[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]
Answer:
= ±2√10
Step-by-step explanation:
40 − x2 = 0
We could solve this by;
subtracting x² from both sides
we get;
40 = x²
Then we get the square root on both sides;
√x² = √40 ; but the square root of a positive number "a" is +√a or -√a
Therefore;
√x² = ± √40
x = ±√40
√40 = √4√10
= 2√10
Thus;
x = ±2√10
Find (1.6x10^8)(5.8x10^6)/(4x10^6), expressed in scientific notation.
[tex]1.6 \times {10}^{8} = 160000000[/tex]
[tex]5.8 \times {10}^{6} = 5800000[/tex]
[tex]4 \times {10}^{6} = 400000[/tex]
How do I solve this problem?
Answer:
[tex]EF=7.6\ units[/tex]
[tex]EG=15.9\ units[/tex]
[tex]m<G=28.6\°[/tex]
Step-by-step explanation:
step 1
Find the measure of side EF
we know that
In the right triangle EFG
[tex]tan(61.4\°)=\frac{FG}{EF}[/tex]
[tex]EF=\frac{FG}{tan(61.4\°)}[/tex]
[tex]EF=\frac{14}{tan(61.4\°)}[/tex]
[tex]EF=7.6\ units[/tex]
step 2
Find the measure of side EG
we know that
In the right triangle EFG
[tex]sin(61.4\°)=\frac{FG}{EG}[/tex]
[tex]EG=\frac{FG}{sin(61.4\°)}[/tex]
[tex]EG=\frac{14}{sin(61.4\°)}[/tex]
[tex]EG=15.9\ units[/tex]
step 3
Find the measure of angle G
wee know that
[tex]m>E+m<G=90\°[/tex] -----> by complementary angles
we have
[tex]m<E=61.4\°[/tex]
substitute
[tex]61.4\°+m<G=90\°[/tex]
[tex]m<G=90\°-61.4\°=28.6\°[/tex]
Which is equivalent to 243?
None of the provided numbers are directly equivalent to 243. Depending on the context like exponents or probability distribution, 243 could arise from such mathematical constructs.
Explanation:From the numbers provided, it seems like none of them are directly equivalent to 243. However, if you are referring to a possible mathematical equation, there could be several combinations of numbers that can equate to 243. For instance, one could add several numbers to total 243. In context of
exponents
or
powers
, 3 raised to the power of 5 (3^5) equals 243. In the world of
binomial probability distribution
, 243 could be a possible result based on specific conditions. Without more context, it's hard to provide a specific equivalence to 243.
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Cal's go cart has a gas tank with the dimensions shown below.
He uses a gas can that holds 111 gallon of gas, to fill the go cart tank.
111 gallon = 231231231 inches^3
3
t
Answer: 2 cans.
Step-by-step explanation:
Calculate the volume of the go cart tank, which has the form of a rectangular prism. You can use the following formula:
[tex]V=l*w*h[/tex]
Where:
l: is the lenght.
w: is the width.
h: is the height.
In this case:
[tex]l=15.4in\\w=10in\\h=3in[/tex]
Substitute values into the formula. Then:
[tex]V=(15.4in)(10in)(3in)=462in^3[/tex]
If a gas can holds 1 gallon of gas and [tex]1\ gallon=231\ in^3[/tex], then the number of full gas cans that will take to fill the go cart's tank (whose volume is 462 in³) is:
[tex]gas\ cans=\frac{(462in^3)(1can)}{(231in^3)}=2\ cans[/tex]
Answer:
8 full cans
Step-by-step explanation:
It will take 8 full cans of gas to fill the go cart's gas tank.
What angle measure is complimentary to a 37 degree angle
Answer:
53 degree angle
Step-by-step explanation:
Two angles are said to be complementary if they add up to 90 degrees. Let the complementary angle of 37 degrees is x. These two angles must add up to 90 degrees. So we can set up the equation as:
37 + x = 90
Subtracting 37 from both sides, we get:
x = 90 - 37
x = 53 degree angle
From the above solution we can see that if we want to find the complementary angle of any angle, we can subtract the given measure from 90 degrees to get our answer.
Answer:53
Step-by-step explanation:
90-37=53
What is the perimeter of kite OBDE?
12 units
22 units
38 units
58 units
Answer:
38 units
Step-by-step explanation:
Triangle ABC is a right triangle. To find the missing side, AB (which is the hypotenuse), we use the Pythagorean theorem:
a²+b² = c²
10²+24² = c²
100+576 = c²
676 = c²
Take the square root of both sides:
√(676) = √(c²)
26 = c
AB is a diameter; this means the radius is 26/2 = 13. This means that OB = 13 and OE = 13.
BD and DE are congruent; this means that BD = 6.
This makes the perimeter
13+13+6+6 = 38 units.
The perimeter of kite OBDE is 38 units.
What is Pythagoras theorem?Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
What is perimeter?Perimeter is the distance around the edge of a shape.
What is kite?A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
According to the given question.
We have a circle with center o and diameter AB.
Triangle ABC is a right triangle.
To find the missing side, AB (which is the hypotenuse), we use the Pythagoras theorem.
So,
[tex](AB)^{2} = (10)^{2} +(24)^{2}[/tex]
[tex]\implies (AB)^{2} = 100+ 576\\\implies (AB)^{2} = 676\\\implies AB = \sqrt{676} \\\implies AB = 26[/tex]
Since, AB is the diameter of the circle. Therefore,
[tex]OB = \frac{AB}{2} \\\implies OB = \frac{26}{2} = 13[/tex]
Also, OBDE is a kite and we know that the adjacent sides of a kite are congruent.
[tex]\implies OB = BD = 13 \\\And,\ OE = ED = 6[/tex]
Therefore,
the perimeter of kite OBDE
= Length of sides (OB + BD + DE + EO )
= 13 + 13 + 6 + 6
= 26 + 12
= 38 units.
Hence, the perimeter of kite OBDE is 38 units.
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Meagan bought 6 kilograms of dried blue berries of $27.which of the following is an equivalent rate?
Step-by-step explanation:
Don't see an answer but
You can divide the dollar amount by the kilograms and it should be 4.5, anything that isn't is incorrect.
for example 27/6 is 4.5
28/4 is 7 and therefore not equivalent.
Sorry I’m very bad in math I need help please
Answer:
d
Step-by-step explanation:
an x without anything in front of it is 1x you can only mix like terms so 8x+1x+1x=10x - 2y
a movie complex is showing the same movie in three theaters. In theater A, 112 of the 160 seats are filled. In theater B, 84 seats are filled and 56 seats are empty. In theater C, 63 of the 180 seats are empty. Which theater has the greater percent of its seats filled.
Answer: Theater A has the greatest percent of seats filled, at 70%
Step-by-step explanation:
To find out which theater has the greatest percent of its seats filled, we need to calculate the percentage of seats filled in each theater. We can use the following formula to calculate percentage:
Percentage = (Part / Whole) x 100
For theater A, we have 112 seats filled out of 160 total seats: Percentage for theater A = (112 / 160) x 100 = 70%
For theater B, we have 84 seats filled out of 140 total seats: Percentage for theater B = (84 / 140) x 100 = 60%
For theater C, we have 117 seats filled out of 180 total seats: Percentage for theater C = (63 / 180) x 100 = 35% (Note that we need to subtract 63 empty seats from the total seats to get the total filled seats in theater C)
Therefore, theater A has the greatest percent of its seats filled, at 70%.
how many times does 7 go into 40
Answer:57.1
If that helps you
Step-by-step explanation:
Answer:
7 cant go into 40 evenly, it would be 5.7 times if we were just to do 40 divided by 7 . . . .
so i guess (even though its not a even number ) your answer is 5.7
40/7 = 5.71
Find the missing term.
If y = 1 + i, then y^3 − 3y^2 + (?) − 1 = -i
What would the "?" equal to.
A) -3y
B) -3y + 1
C) 3y
D) 3i
Answer:
C
Step-by-step explanation:
Simplify everything to get :
-3 - 4i + (?) = -i
From this we know that we need 3i + 3 to get -i.
3y = 3(1 + i)
3y = 3 + 3i
So the answer is C.
The Answer Would be:
C. 3y
What is the charge of an atom with 2 more electrons than protons
An atom containing two more electrons than protons has a net charge of negative two (-2), as determined by the difference in number of positive protons and negative electrons.
Explanation:An atom which has two more electrons than protons has a charge of -2. The charge of an atom is determined by the difference between the number of protons and electrons. Protons have a charge of +1 and electrons have a charge of -1. Hence, if the atom has two more electrons than protons, it will have a charge of -2 because electrons contribute a negative charge. For instance, for an atom with 2 protons (+2 charge) and 4 electrons (-4 charge), the overall charge would be -2.
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An atom with 2 more electrons than protons will have a net charge of -2.
Explanation:An atom is the basic unit of matter, consisting of a nucleus containing protons and neutrons, surrounded by electrons. Elements are defined by the number of protons in their atoms. An atom's charge is determined by the difference between the number of electrons and the number of protons. If an atom has 2 more electrons than protons, it will have a net charge of -2.
For example, let's consider the element oxygen (O). Oxygen normally has 8 protons and 8 electrons, resulting in a neutral charge. If we add 2 more electrons to oxygen, it will then have 10 electrons and still 8 protons, giving it a net charge of -2.
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