Answer:
$0.80
Step-by-step explanation:
If the 100 pounds was bought separately (of course in real life you will probably not)
= 100 pounds x $0.0825/pound
= $8.25
As you can see it will cost more than if you buy a 100 pound sack.
Cost Difference = $8.25 - $7.45 = $0.80
That means you will save $0.80 from it.
There will be a profit of $0.8 if the soil is bought for $7.45 for 100- pound sack and sold for 8 1/4 cents per pound.
What is Multiplication?Multiplication in mathematics is the process of adding a number repeatedly up to the times of another number. If two numbers, namely a and b are multiplied, this is denoted by a × b. This means that 'a' is added repeatedly to itself up to b times or b is added repeatedly up to 'a' times.
Amount got for 1 pound soil after selling = 8 [tex]\frac{1}{4}[/tex] cents
= 33/4 cents
= 8.25 cents
= 8.25 / 100 dollars
= 0.0825 dollars
For 100 - pound sack, amount got after selling = 0.0825 × 100
= 8.25 dollars
Cost for 100 - pound sack = $7.45
Profit = $8.25 - $7.45
= $0.8
$0.8 will be saved if you bought a 100- pound sack for $7.45.
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Compare the graph of m(x) = 0.7x² + 4 with the graph of n(x) = x².
The graph of m(x) is narrower.
Both graphs open upward.
Both have the axis of symmetry x = 1.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
The graph of m(x) is wider.
Both graphs open downward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
The graph of m(x) is narrower.
Both graphs open upward.
Both have the axis of symmetry x = 1.
The vertex of m(x) is (0, 4), the vertex of n(x) is (0, 2).
Answer:
B.) The graph of m(x) is wider.
Both graphs open upward.
Both have the axis of symmetry x = 0.
The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).
Step-by-step explanation:
When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.
When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.
The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.
The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.
m(0) = 0.7(0)² + 4 n(0) = (0)²
m(0) = 0 + 4 n(0) = 0
m(0) = 4
Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).
Answer:
Step-by-step explanation:
m(x) =.7x^2 + 4
n(x) = x^2
In the graph below
green = m(x)
blue = n(x)
Answer:
Just look at the graph belowBoth graphs open upward.The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).The graph of m(x) is wider.When half of 3,926 is added to a quarter of 1,924
Answer:
Again, this would be 2444.
Step-by-step explanation:
Because of the previous answers 1963 and 481, we can add them together to make 2444.
What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
log(x) = 3
log(y) = 2
log(z) = -1
A. 12
B. 13
C. 16
D. 18
Urgently need answer
Answer:
B. 13
Explanation:
[tex]\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )[/tex]
Logarithm rules:
[tex]\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)[/tex]
Breakdown of the expression:
[tex]\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)[/tex]
[tex]\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)[/tex]
[tex]\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)[/tex]
insert given values
[tex]\rightarrow \sf 2(3)+3(2)-(-1)[/tex]
[tex]\rightarrow \sf 13[/tex]
find domain and range
Domain: [-4, ∞)
Range: (-∞, 0]
*Domain are all x-values listed. Here you can see the graph going the right (positive) of -4 (Doesn't go to the left)
*Range are all y-values listed. Here you can see the graph starts from zero and goes down (negative)
Hope it helps!
using ruler and set square draw AB 8cm long. construct line PQ parallel to line AB such that distance apart is 2.5cm
Step-by-step explanation:
omg you are looking like
..........[tex] \\ \qquad{\rule{200pt}{3pt}} [/tex]
[tex]\boxed{\red{ \sf \:Correct\ Answer}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
#carryonlearning[tex]\boxed{\red{ \sf \:Correct\ Answer}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
#carryonlearning[tex]\boxed{\red{ \sf \:Correct\ Answer}}[/tex]
[tex]\red{ \rule{500pt}{900000pt}}[/tex]
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Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4.
Answer:
y=2x-11
Step-by-step explanation:
arralel lines have same gradient
since gradient of the known line is 2( the coefficient of x), it therefore follows that the gradient of the second line we want to find is also 2
So we know the gradient of the second line is 2, and we have one known point (7,3). We can therefore apply the formula for finding gradient to come up with the line
[tex]2=\frac{y-3}{x-7} \\\\y-3=2(x-7)\\\\y-3=2x-14\\\\y=2x-14+3\\\\y=2x-11[/tex]
The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 196 pounds on the surface of the Earth, what will this astronaut weigh 300 miles above the Earth? Assume that the radius of the Earth is 4000 miles. (Round off your answer to the nearest pound.)
the astronaut would weigh 1 pound above the Earth.
How to calculate the weightGiven that;
Gravitational force = Gm/r^2
M1 = 196 pounds
M2 = unknown
R1 = 4000 miles
R2 = 300 miles
We can deduce that;
[tex]\frac{m1}{r^21} = \frac{m2}{r^22}[/tex]
Let's substitute the values
[tex]\frac{196}{4000^2} = \frac{x}{300^2}[/tex]
[tex]\frac{196}{1.6 *10^7} = \frac{x}{9 *10^4}[/tex]
Cross multiply
196 × 9 ×10^4 = x × 1.6 ×10^7
1.76 × 10^7 = x × 1.6 ×10^7
Make 'x' the subject of formula
x = [tex]\frac{1.76* 10^7}{1.6*10^7}[/tex]
x = 1.1
x = 1 pound
Thus, the astronaut would weigh 1 pound above the Earth.
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write an inequality to represent the graph
Answer:
y ≤ 2.5x-3
Step-by-step explanation:
we know two points: (2 , 2 ) and ( 0 , -3)
[tex]Grad = \frac{2--3}{2-0} =\frac{5}{2} =2.5\\[/tex]
we also know the y intercept is -3
therefore equation in question is : [tex]y = 2.5x-3[/tex]
we take any point either above the line or below the line and substitute in the equation above. Let us try point (0,0) which is above the line and in the unwanted(shaded region):
y = 2.5x-3
0=2.5(0)-3
0=-3
Normally 0 can never be equal to -3 but is ≥ -3.
Since the point taken was not in the wanted region we reverse ≥ to ≤ to show the wanted region. The inequality in question becomes :
y ≤ 2.5x-3
84. A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent’s survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.
Critical value z_{0.05}=-1.645
Decision Rule, Reject H if z< -1.645
We do not reject the null hypothesis.
What is the Decision?Generally, the equation for the hypothesis is mathematically given as
H P=0.3
H2:P<0.13
Therefore
[tex]z=\frac{p'-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\\\z=\frac{0.11-0.13 }{\sqrt{\frac{0.13(1-0.13)}{76}}}[/tex]
z=-0.52
In conclusion, from the table
Critical value z_{0.05}=-1.645
Decision Rule, Reject H if z< -1.645
In conclusion, we do not reject the null hypothesis.
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Someone help me with this please, solve it in process please ;-;
Step-by-step explanation:
2A and 2B are scalar multiplications : every item in the matrix has to be multiplied by that factor.
the subtraction then of 2A - 2B is simply to subtract every positive in B from the corresponding same position in A.
that is all.
2A =
4 0
-6 2
2B =
0 2
-4 6
2A - 2B =
4-0 0-2
-6--4 2-6
=
4 -2
-2 -4
Pls Help! Geometry
How much will the molding cost?
Answer: $412.50
Step-by-step explanation:
The area of the square formed by combining the painting and the molding is [tex](25)(28)=700[/tex] square inches.
The area of the painting itself is [tex](22)(25)=550[/tex] square inches.
Therefore, the area of the molding is [tex]700-550=150[/tex] square inches, and thus costs [tex](150)(2.75)=\$412.50[/tex]
Which is the distance betweeen parallel lines with the equations y=-1/3x+3 and y=-1/3x-7
Answer:
the distance is 10
Step-by-step explanation:
since the slope is the same you know they're parallel, but just find the difference from the two y intercepts (the +3/-7) the difference is 10, so 10.
In the video Mouse Count, Miss Ashley read a book about a snake that captured mice and placed them one-by- one in a jar for his dinner. Which Number and Operations standard would this part of the story represent?
A. Combining sets
B. Removing sets
C. Dividing into equal parts
Based on the fact that the snake was placing the mice one - by - one into a jar, this is A. Combining sets.
What does combining sets entail?When sets are combined, it means that numbers from a certain set of variables are combined with those from another set.
The snake had captured the mice separately which means they were in different sets. Putting them into one jar means they are being combined so this is combining sets.
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write as an algebraic expression and then simplify the number that is x more than 2x+1
The algebraic expression is x > 2x + 1 and simplification form of the algebric expression is x < -1
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
The number that is x more than 2x+1
x is the number.
x > 2x + 1
After simplification:
2x - x < -1
x < -1
x ∈ (-∞, -1)
Thus, the algebraic expression is x > 2x + 1 and simplification form of the algebric expression is x < -1
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At a party there is one bottle of coke for every 3 guests, one bottle of sprite for every 6 guests, and one bottle of lift for every 4 guests. There are 54 bottles of drink at the party. How many guests are there? At a party there is one bottle of coke for every 3 guests , one bottle of sprite for every 6 guests , and one bottle of lift for every 4 guests . There are 54 bottles of drink at the party . How many guests are there ?
Answer:
72 guests
Step-by-step explanation:
We can add up the numbers of bottles per guest, then use that total to find the number of guests from the number of bottles.
SetupLet g represent the number of guests at the party. Then there are ...
g/3 bottles of cokeg/6 bottles of spriteg/4 bottles of liftThe total number of bottles is ...
g(1/3 +1/6 +1/4) = 54
SolutionMultiplying by the inverse of the coefficient of g, we find its value to be ...
g(4/12 +2/12 +3/12) = g(9/12) = 54
g = 54(12/9) = 72
There are 72 guests at the party.
PLEASE ANSWER
Consider the data set displayed on the following box plot.
Which of the following statements about the data set are true? Select all that apply.
A.The interquartile range is 10.
B.There is one outlier.
C.There are no outliers.
D.The data is skewed.
E.The interquartile range is 8.
F.There are two outliers
G.The data is symmetric.
The true statements are:
The interquartile range is 10.
The data is skewed.
What are the true statements?A box plot is used to study the distribution and level of a set of scores
The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The interquartile range is the difference between the first and third quartile.
Interquartile range = 9 - (-1) = 10
A box plot is negative skewed because the median is not at the center of the box.
An outlier would be within: (Q1 - 1.5 * IQR or Q3 + 1.5 * IQR).
- 1 - (1.5 x 10 ) = -16
9 + (1.5 x 10) = 24
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Given the right triangle shown, solve for X, Y and Z. The triangle may not be drawn to scale
Answer:
X ≈ 8.58 ftY ≈ 9.46 ftZ = 65°Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to help you remember the relationships between sides of a right triangle and trig functions of the acute angles. It tells you ...
Sin = Opposite/HypotenuseCos = Adjacent/HypotenuseTan = Opposite/AdjacentSidesThe given triangle shows values of an acute angle and its opposite side. You are to find the other two sides in the triangle, as well as the other acute angle.
X is the side adjacent to the given angle, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(25°) = (4 ft)/X
Solving for X gives ...
X = (4 ft)/tan(25°) . . . . . . . . multiply by X/tan(25°)
X ≈ 8.58 ft
Y is the hypotenuse, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(25°) = (4 ft)/Y
Y = (4 ft)/sin(25°) . . . . . . multiply by Y/sin(25°)
Y ≈ 9.46 ft
AngleThe sum of angles in a triangle is 180°, so if one of them is 90°, the sum of the other two is 90°.
Z = 90° -25°
Z = 65°
Use the demoivres theorem
By de Moivre's theorem,
[tex]\left(\cos\left(\dfrac\pi6\right) + i \sin\left(\dfrac\pi6\right)\right)^{18} = \cos\left(\dfrac{18\pi}6\right) + i \sin\left(\dfrac{18\pi}6\right) \\\\ ~~~~~~~~ = \cos(3\pi) + i \sin(3\pi) = \boxed{-1}[/tex]
The value of the given complex number is -1
De'moivres theorem
Given the polar form of a complex number expressed as:
[tex](cos\theta + isin\theta)^n\\[/tex]
This can also be expressed according to the de moivre's theorem as;
[tex]=(cos\theta + isin\theta)^n\\\\=(cosn\theta+isinn\theta)[/tex]
Given the expression below;
[tex](cos\frac{\pi}{6} + isin\frac{\pi}{6} )^{18}\\(cos18\cdot\frac{\pi}{6} + isin18\cdot\frac{\pi}{6} )\\(cos3\pi + isin3\pi)\\=-1[/tex]
Hence the value of the given complex number is -1
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Hayley and Tyler are on the cross-country team. Tyler can run 1 mile (at a
constant speed) in 8 minutes and 20 seconds. Hayley's distances and times
a training run are given by the equation y = 8x, where x represents distance
miles and y represents time in minutes. Who ran farther in 10 minutes? How
much farther?
The person who ran farther is Hayley.
Who ran farther?
Average speed is the total distance travelled per time.
Average speed = total distance / total time
Tyler's average speed = 1 / 8.30 seconds = 0.12 miles per minute
The distance covered by Tyler in 10 minutes = 0.12 x 10 = 1.2 miles
Distance covered by Hayley in 10 minutes : 10 = 8x
x = 10 / 8 = 1.25 miles
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Miss Brandy is preparing her unit on architecture. She set up the construction area with a variety of objects and tools for measuring. She also included paper and pencils for children to record their results. An assortment of books on architecture were set up for the children to explore. Which mathematical thinking standard is being addressed in this learning center?
A. Children are extending a simple AB repeating pattern.
B. Children are identifying measurable attributes such as length and weight and solve problems by making direct comparisons of objects.
C. Children are constructing and count sets of objects.
In this scenario, children are identifying measurable attributes such as length and weight and solve problems by making direct comparisons of objects.
What is measurement?Measurement refers to a process through which the dimensions, size (weight), or other physical quantities of magnitude that are associated with an object is taken, especially for use in a scientific research and experiment such as direct comparison.
In this scenario, we can infer and logically deduce that the children are identifying measurable attributes such as length and weight and solve problems by making direct comparisons of objects.
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SEVEN TIMES THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 140 MORE THAN ELEVEN TIMES THE
MIDDLE INTEGER. FIND THE INTEGERS
The integers are 12,14 and 16
How to determine the integers?Consecutive even integers are represented as:
x, x + 2 and x + 4
So, the statement is represented as:
7 * (x + x + 2 + x +4) = 140 + 11 * (x + 2)
Evaluate the like terms
7 * (3x + 6) = 140 + 11 * (x + 2)
Open the brackets
21x + 42 = 140 + 11x + 22
Collect the like terms
21x -11x =
Evaluate
10x = 120
Divide by 10
x = 12
So, we have
x + 2 = 14
x + 4 = 16
Hence, the integers are 12,14 and 16
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If one number is three less than five times m, what is the number?
Answer:
Step-by-step explanation:
n = the number
n = 5m - 3
LMNP is rotated 180 degrees clockwise around the origin. What are the coordinates of L?
[tex]\huge\boxed{L^\prime(0, -1)}[/tex]
To rotate a point around the origin by 180 degrees, multiply both parts of the coordinate point by [tex]-1[/tex]. (This means you go from [tex](x, y)[/tex] to [tex](-x, -y)[/tex].)
[tex]L(0, 1)[/tex]
[tex]L^\prime(0*(-1), 1*(-1))\\\boxed{L^\prime(0, -1)}[/tex]
1/2 divided 8 as a whole number
Answer:
16
Step-by-step explanation:
A fraction that is divided by a number is just multiplication with the denominator. So with that 8(2)=16
What is the range of the function y=3√x+8?
-∞xy<∞
-8
0≤y<∞
2≤y<∞
The range of the function the as given in the equation is; -∞ ≤ y < ∞.
What is the range of the function?It follows from the task content that the function given is; y=3√x+8.
On this note, it follows that the range of the function is the set of all possible outputs, y values and in this case is; -∞ ≤ y < ∞.
It therefore follows that the range of the function is as indicated above as all X-values (domain) must be positive and the square root of x yields a positive or negative real number.
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Drag each graph to the correct location on the table. The points on the graphs represent relations. Classify these relations according to whether or not they are functio 1-3 -2 -1 3. -40 2 1 -2 -3 1 2 Function -3 -2 -1 -1 -2 3 D 2 3 -3 2 101 -1 3 1240 1 24 2 10 3 Not a Function Drag each graph to the correct location on the table . The points on the graphs represent relations . Classify these relations according to whether or not they are functio 1-3 -2 -1 3. -40 2 1 -2 -3 1 2 Function -3 -2 -1 -1 -2 3 D 2 3 -3 2 101 -1 3 1240 1 24 2 10 3 Not a Function
Answer:
Function: BNot a function: A, CStep-by-step explanation:
A relation is a function if there is only one y-value for each x-value. If you can draw a vertical line on the graph that intersect more than one point, the relation is not a function. (This is the "vertical line test.")
ApplicationGraph A: there are 3 y-values associated with x=2. Not a function.
Graph B: passes the vertical line test: A function.
Graph C: there are 2 y-values at each of x=1 and x=2. Not a function.
6(1+5x)=5(1+6x) solve x
Answer:
No solutions
Step-by-step explanation:
Hello!
To solve for x, we should expand the parenthesis and isolate the variable x.
Solve for x6(1 + 5x) = 5(1 + 6x)6 + 30x = 5 + 30x6 ≠ 5The are no solutions for x, as 6 does not equal to 5.
The store has p packages of batteries. Each package contains 12 batteries. Write an expression that shows the number of batteries.
The value of the equation is A = 12p , where p is the number of packages of batteries
What is an Equation?Equations are mathematical statements with two algebraic expressions on either side of the equals (=) sign.
It depicts how the expressions on the left and right sides are linked together.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are all parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of packages be represented as p
Let the number of batteries in one package = 12 batteries
So , the total number of batteries in p packages A = number of packages x number of batteries in one package
The total number of batteries in p packages A = 12p
Hence , the equation is A = 12p
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Consider the quadratic function y equals 4 x squared minus 4 x minus 1.
What is the graph of this function?
First accurate answer gets brainliest
Answer:
Graph D (look in the attached picture)
The way you do this is use the quadratic formula to solve for the x intercepts which are [tex](\frac{1+\sqrt{2} }{2} )[/tex] and [tex](\frac{1-\sqrt{2} }{2})[/tex]
Pls help! 20 points very ugrent
Answer: -2, 1, all real numbers, all real numbers
Step-by-step explanation:
g o f(n) is basically g(f(n))
Using the question as an example we can get that f(0) = 1 so
g(f(0)) = g(1) = -2
f(1) = 0 so g(f(1)) = g(0) = 1
The domain of f(x) is all real numbers and the range of g(x) is all real numbers