Answer:
31/35.
Step-by-step explanation:
9/7-2/5
= 45/35 - 14/35
= 31/35
the equation y= 1.25x represents the cost (y) to buy (x) granola bars at the sack shop. the table shows the cost of granola bars at the sports field. which location sells granola bars for a lower price
Answer:
Its the snack shop because for each bar it is 1.25 each.
Step-by-step explanation:
Answer:
The answer is Snack Shop.
Step-by-step explanation:
The equation given us, y=1.25x means this store sells a bar of granola for $1.25.
However the other store sells there granola bar for $1.30.
1.25 is less than 1.30.
Choose the store that sells their granola bar for $1.25.
what is -2(3x+12y-5-17x-16y+4) simplifyed
Answer: 28x+8y+2 .
= -2 (-14x-4y-1)
= 28x + 8y + 2
Step-by-step explanation:
Answer: 28x + 8y + 2
Step-by-step explanation:
-2(3x+12y-5-17x-16y+4)
= -2(3x-17x+12y-16y-5+4)
= -2(-14x-4y-1)
= -2(-14x) -2(-4y) -2(-1)
= 28x+8y+2
what is the slope of a line with endpoints (-11,5) and (5,-7)
Answer:
-6/8
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where (X1,y1) is (-11,5) and (X2,y2) is(5,-7)
Slope=5+7/-11-5
=-12/16
= -6/8
So the slope is -6/8
A famous piece of artwork was up for bid at a museum auction. The minimum bid was $25,000.
Determine which inequality represents the bid for the artwork.
b ≥ 25,000
b ≤ 25,000
b < 25,000
b > 25,000
The inequality that represents the bid for the artwork is A. b ≥ 25,000.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this case, the famous piece of artwork was up for bid at a museum auction and the minimum bid was $25,000.
Let the minimum bid be b. This will be b ≥ 25,000.
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ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
ZC = 87, AC = 150Step-by-step explanation:
Attached screenshot, for some reason can't save as answer
Which statements are true?
Answer:
Step-by-step explanation:
Consider the rule
C
−
A
−
S
−
T
or All Slow Turtles Crawl for this type of problem.
Both of these rules indicate in which quadrant the trigonometric function is positive. In all quadrants except the first, only 1 out of the three trigonometric functions are positive; the other two are negative.
Quadrant 1: All are positive
Quadrant 2: Sine is positive
Quadrant 3: Tangent is positive
Quadrant 4: Cosine is positive
The acronym and the expression mentioned above are meant to facilitate your ability to remember these. Beware, though that C-A-S-T starts in the 4th quadrant and then goes to the 1st, 2nd and finally the 3rd, while "All Slow Turtles Crawl# goes from 1st to 4th.
Now, back to the problem at hand.
If cosine is positive, then we are already limited to 2 quadrants: IV and I. However, in quadrant I, all the functions are positive, and the problem says that sin is negative in this case. This leaves us one option: quadrant IV.
When the company can sell its products above competitive prices or when its costs are below those of its primary competitor, the company has
Market power exists when a company can sell its products at prices that are higher than the market average or when its costs are lower than those of its primary rival.
Market power is a company's relative capacity to influence the market price of a product by influencing supply, demand, or both. Producers must be price takers in markets with perfect or near-perfect competition because they have little pricing power.
Cutthroat valuing is the method involved with choosing key costs to best exploit an item or administration based market comparative with the opposition.
A cutthroat valuing technique permits organizations to keep a benefit by decisively setting costs above, underneath, or equivalent to their immediate rivals. Pricing based on competition can be very effective, but not all businesses should use it.
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Suppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.2. What is P(F/E)
From the given information provided, the probability of event F given that event E has occurred is 0.5.
Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:
P(A|B) = P(A and B) / P(B)
To find P(F/E), we use the conditional probability formula:
P(F/E) = P(E and F) / P(E)
We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:
P(F/E) = 0.1 / 0.2
Simplifying this expression, we get:
P(F/E) = 0.5
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Solve the system of equations by subsitution.
b = 4a +2
12a - 3b = -6
Answer:
infinite solution
Step-by-step explanation:
hello
we substitute b = 4a + 2 in the second expression
12a -3*(4a+2) = -6
<=> 12a -12a -6 = -6
<=> -6 = -6
which is always true
so there is infinite solution
hope this helps
The total cost, in dollars, to order x x units of a certain product is modeled by c(x)=5x2+320 c ( x ) = 5 x 2 + 320. According to the model, for what size order is the cost per unit a minimum?.
The minimum cost per unit is obtained for an order of 8 units.
Since the total cost is modeled by;
We'll solve this by unitary method
The unitary method is a technique for solving a problem by finding the value of a single unit, I.e.,1,(by dividing), and then finding the necessary value by multiplying the single unit value.
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x+2y-3z = 5 3x-y + 2z = 3 4x + y + (a²-10)2 = a +5 For a i there is no solution. For a i there are infinitely many solutions. For at i the system has exactly one solution. eTextbook and Media: Hint
- For values of 'a' that satisfy (a+5)(a²-10)² - (a+5) ≠ 0, the system of equations has no solutions.
- For values of 'a' that satisfy (a+5)(a²-10)² - (a+5) = 0, the system has infinitely many solutions.
- For all other values of 'a', the system has exactly one solution.
To determine the values of 'a' for which the system of equations has no solutions, exactly one solution, or infinitely many solutions, we can analyze the augmented matrix of the system using row operations.
The augmented matrix for the system is:
[ 1 2 -3 | 5 ]
[ 3 -1 2 | 3 ]
[ 4 1 (a²-10)² | a+5 ]
Performing row operations to bring the matrix to row-echelon form, we have:
[ 1 2 -3 | 5 ]
[ 0 -7 11 | -12 ]
[ 0 0 (a²-10)² + (5-a) | (a+5)(a²-10)² - (a+5) ]
From the row-echelon form, we can determine the cases:
Case 1: No solutions
If the last row of the row-echelon form has a non-zero entry in the augmented column (rightmost column), then the system has no solutions. In this case, we need the expression in the last row's augmented column to be non-zero. Therefore, we require:
(a+5)(a²-10)² - (a+5) ≠ 0
Case 2: Infinitely many solutions
If the last row of the row-echelon form consists of all zeros (except the augmented column), then the system has infinitely many solutions. In this case, we need the expression in the last row's augmented column to be zero. Therefore, we require:
(a+5)(a²-10)² - (a+5) = 0
Case 3: Exactly one solution
For any other value of 'a', the system will have exactly one solution.
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The tables of ordered pairs represent points on the graphs of Equation 1 and Equation 2. Which system of equations is represented
by these two tables?
A)
4x + y = 24
2x + 2y = 4
B)
x + 4y = -24
x-y--4
C)
x - 4y= 24
x+y=4
D)
4x - y = 24
2x - 2y - 4
Answer:
Step-by-step explanation c
Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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what are all the values of c that will make x^2 cx 121 a perfect square ?
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
Gravel is being dumped from a conveyor belt at a rate of 30 ft 3ymin, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high
The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.
Given the following data: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min.
Its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
The pile is 10 ft high.
To determine how fast the height of the pile is increasing, we need to differentiate the formula for the volume of a cone with respect to time.
We know that the volume of a cone is given by: \(V = (1/3)πr²h\)
We are given that the base diameter and the height of the cone are always equal, so we can write: r = (d/2)and h = d
where d is the diameter of the base of the cone.
The volume of the cone is given by: V = (1/3)π(d/2)²d
Simplifying, we get:\(V = (1/12)πd³\)
Differentiating both sides with respect to time, we get:
dV/dt = (1/4)πd² (dd/dt)
We are given that dV/dt = 30 ft³/min, and we want to find dd/dt when h = 10 ft.
Substituting V = (1/3)π(10/2)²(10)
= (1/3)π(25)(10)
= (250/3)π and d = 10,
we get:
30 = (1/4)π(10²)(dd/dt)
Simplifying, we get:
dd/dt = 12/π
The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.
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How do you find the total amount given the percentage of a partial amount
The whole value can be found by using a phenomenon known as proportion
What is percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
Now we are given a percent p of a value let us say x and that value be v
We have to find the initial value let us say that value to be 'P'
To find that we use proportion
That is ratio of value to their respective percentage will be equal
Hence we will have
P/100 = v/ x
P= (v/x)*100
Hence we get the initial value
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Let X and Y be two independent random variable, uniformly distributed over the interval (-1,1). 1. Find P(00). Answer: 2. Find P(X>0 min(X,Y) > 0). Answer: 3. Find P(min(X,Y) >0|X>0). Answer: 4. Find P(min(X,Y) + max(X,Y) > 1). Answer: 5. What is the pdf of Z :=min(X, Y)? Ofz(x):= (1 - x)/2 if z € (-1,1) and fz(z) = 0 otherwise. Ofz(x) = (- 1)/2 if z € (-1,1) and fz(2) = 0 otherwise. Ofz(2) := (2-1)/2 for all z. Ofz(2) := (1 - 2)/2 for all z. 6. What is the expected distance between X and Y? E [X-Y] = [Here, min (I, y) stands for the minimum of 2 and y. If necessary, round your answers to three decimal places.]
The values are:
P(0)= 1/4P(X>0 min(X,Y) > 0) = 1/2P(min(X,Y) >0|X>0) = 1/4P(min(X,Y) + max(X,Y) > 1) = 3/4 Z :=min(X, Y) fZ(z) = (1 - |z|)/2 if z ∈ (-1,1) and fZ(z) = 0 otherwise. E [X-Y] =01. P(0<min(X,Y)<0) = P(min(X,Y)=0)
= P(X=0 and Y=0)
Since X and Y are independent
= P(X=0) P(Y=0)
Since X and Y are uniformly distributed over (-1,1)
P(X=0) = P(Y=0)
= 1/2
and, P(min(X,Y)=0) = (1/2) (1/2)
= 1/4
2. P(X>0 and min(X,Y)>0) = P(X>0) P(min(X,Y)>0)
So, P(X>0) = P(Y>0)
= 1/2
and, P(min(X,Y)>0) = P(X>0 and Y>0)
= P(X>0) * P(Y>0) (
= (1/2) (1/2)
= 1/4
3. P(min(X,Y)>0|X>0) = P(X>0 and min(X,Y)>0) / P(X>0)
= (1/4) / (1/2)
= 1/2
4. P(min(X,Y) + max(X,Y)>1) = P(X>1/2 or Y>1/2)
So, P(X>1/2) = P(Y>1/2) = 1/2
and, P(X>1/2 or Y>1/2) = P(X>1/2) + P(Y>1/2) - P(X>1/2 and Y>1/2)
= P(X>1/2) P(Y>1/2)
= (1/2) * (1/2)
= 1/4
So, P(X>1/2 or Y>1/2) = (1/2) + (1/2) - (1/4)
= 3/4
5. The probability density function (pdf) of Z = min(X,Y) is given by:
fZ(z) = (1 - |z|)/2 if z ∈ (-1,1) and fZ(z) = 0 otherwise.
6. The expected distance between X and Y can be calculated as:
E[X - Y] = E[X] - E[Y]
E[X] = E[Y] = 0
E[X - Y] = 0 - 0 = 0
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Find the length of MT
Answer:
Solution,
x+12+8x-2=180° (Linear pair)
or, 9x+10=180°
or, x+10=180/9
or, x=20-10
x=10
The length of MT
=8x-2
=8×10-2
=80-2
=78
hope it helps you
Answer:
Step-by-step explanation:
x+12+8x-2=180(being straight line)
or,9x+10=180
or,9x=180-10
or,9x=170
or,x=170/9
x=18.88
now,
MT=8x-2
=8(18.88)-2
=149.04
Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891.
A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0
B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0
C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0
D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0
Answer:
you figure it out
Step-by-step explanation:
Number one is going to be N1
Number two is going to be N2
Product of the two numbers combined is going to be 891
N1= N2 +5
N1 + N2 = 891
(N2+5) + N2 = 891
N2 +5 +N2 =891
2N2 + 5 =891
im gonna let you figure the rest out
Which of these could be the side lengths of a right triangle? list all possible answers and show your work for full marks.
a) 4-7-10
b) 36-48-60
c) 6-10-14
d) 14-48-50
The sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).
To determine which of these sets of side lengths could form a right triangle, we will use the Pythagorean theorem (a² + b² = c²), where a and b are the shorter sides and c is the hypotenuse. Let's evaluate each option:
a) 4-7-10
Applying the Pythagorean theorem: 4² + 7² = 16 + 49 = 65, which is not equal to 10² (100). So, this set does not form a right triangle.
b) 36-48-60
Applying the Pythagorean theorem: 36² + 48² = 1296 + 2304 = 3600, which is equal to 60² (3600). So, this set does form a right triangle.
c) 6-10-14
Applying the Pythagorean theorem: 6² + 10² = 36 + 100 = 136, which is not equal to 14² (196). So, this set does not form a right triangle.
d) 14-48-50
Applying the Pythagorean theorem: 14² + 48² = 196 + 2304 = 2500, which is equal to 50² (2500). So, this set does form a right triangle.
In conclusion, the sets of side lengths that could form a right triangle are 36-48-60 (option b) and 14-48-50 (option d).
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a nutritionist wanted to find out if coffee and tea, as served in restaurants, differed in caffeine content. she went to 30 restaurants. in 15 randomly selected restaurants, she ordered coffee; in the other 15 restaurants, she ordered tea. what statistical test should the nutritionist use to see if coffee and tea differ in mean caffeine content?
The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .
We need to Know about Hypothesis testing and independent t test to answer this-
Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.
An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.
We can find the difference caffeine content following these steps -
1)H0=Null hypothesis=tea and coffee has same caffeine level
HA=tea and coffee has different caffeine level
2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.
The t value obtained should be then performed under hypothesis testing.
3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.
Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.
Hence null hypothesis will be rejected.
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What is the surface area of the triangular prism.
Answer:480cm^3
Step-by-step explanation:
Which of the following differential equation(s) is/are linear? (Choose all that apply.) 1 2xy" - 5xy' + y = sin(3x) (v)² + xy =In(x) □y' + sin(y)=e3x (x²+1)y"-3y - 2x³y=-x-9 (+1)y'+xy=y"
To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.
The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".
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Can someone help me with these word problems?
Answer:
First Answer: 12.5 weeks
Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)
Hey guys what’s the answer to this question
Put the values
x = 10______________________\((6x)^{2} - \frac{x}{5} \)\((6 \times 10)^{2} - \frac{10}{5} \)\((60)^{2} - \frac{ \cancel{10}}{ \cancel{5}} 2\)\(3600 \: - \: 2\)\(3598\)The answer to the equation is 3698
(6x)² - x/5 for x=10
= (6× 10)² - 10/5
= 3600 - 2
=3698
the equation is a statement that indicates that two expressions consisting of variables or numbers are equal. Essentially, equations are problems, and the development of mathematics has been driven by attempts to find answers to these problems in a systematic way.
An equation is defined as a state of equality, often expressed as a mathematical formula in which the values on both sides are equal, or refers to problems that require much consideration. An example equation is 2+2 = 3+1.
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Please help me with this
Find the measure of angle A
Answer:
40°
X=11
I can't give you a very good explanation because I'm
only a freshman lol, I only studied so far in this stuff so I think ill stick to questions like this that give me side lengths and require an angle.
Anyways, hope this helped!
anyone know the answer
Answer:
994
Step-by-step explanation:
\( {(8 + t)}^{3} - 6\)
By putting the value of t = 2,
\( {(8 + 2)}^{3} - 6\)
\( {10}^{3} - 6\)
(First inside brackets)
1000 - 6. (Then subtraction)
994 (Ans)
which of the following statements correctly describes the items shown below y=9
Answer:
Both are horizontal lines.
Step-by-step explanation:
See the graph.
Y = 9 No matter what x is, y will be 9
Some points would be
(-1,9 (0,9) (1,9)
The second statement would be the equation
y = 1
No matter what x is y is 1
Some points would be
(-1,1) (0,1) ( 1,1)
A scatterplot shows a set of data points that fit very loosely around a line that slopes down to the right. Which of the following values would be closet to the correlation for these data?
A.) 0.75
B.) 0.35
C.) -0.75
D.) -0.35
The value closest to the correlation for the given scatterplot would be C.) -0.75.
Which option is the closest value to the correlation for the loosely scattered data points with a downward sloping line?In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.
To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.
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