An expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)
The correct answer is an option (A)
In this question we have been given an expression -4.5n + 3
We need to identify an expression which is factored form of given expression.
If we simplify the factored form then it must be a give expression.
consider ,A. −3(1.5n−1)
= -4.5n + 3
consider an expression B. −1.5(3n+2)
= -4.5n - 3
consider C. −1.5(−3n+2)
= 4.5n - 3
consider D. −3(1.5n+1)
= -4.5n - 3
Therefore, an expression which is factored form of given expression -4.5n+3 is −3(1.5n−1)
The correct answer is an option (A)
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the two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university. (a) based on these graphs, which of the two exams has the strongest correlation with the final exam grade? explain. (b) can you think of a reason why the correlation between the exam you chose in part (a) and the final exam is higher?
a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.
b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.
Define correlation.The link between variables is described by correlation. It can be characterized as strong or weak, as well as positively or negatively.
Given,
The two scatterplots below show the relationship between final and mid-semester exam grades recorded during several years for a statistics course at a university.
a) Exam 2 has the strongest correlation with the exam grade, according to the graphs below. Since the points are arranged in a positive band that extends from bottom left to upper right.
b) Because there is a positive association and there is little dispersion of points, the correlation between exams and the final exam is higher.
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During 75 days, rain fell on 3/5 of the day. On how many days did rainfall?
Answer:45
Step-by-step explanation:
75*3/5
name the place value of highlighted digits 879.8687
the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.
As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.
Define the term normal approximation?The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.
The population value corresponds to the assumption of a sample fraction or average.Because summing big values might be cumbersome or impossible with certain discrete distributions, such as the Binomial or Poisson distributions. The Normal Distribution, thankfully, provides us to approximation the probability for random variables which would otherwise be impossible to quantify.Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.
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Please help me solve as soon as possible
Using the given expression, the number of tiles Mr. Grants will need to buy is 48
Solving an expression to determine the number of tilesFrom the question, we are to use the given expression to determine the number of tiles Mr. Grant would have to buy
From the given information,
The given expression is,
27 ÷ s²
and
Mr. Grants decides to buy square tiles that have side lengths of 3/4 foot
That is,
s = 3/4
Now,
Using the given expression
27 ÷ s²
We get
27 ÷ (3/4)²
27 ÷ 9/16
= 27 × 16 / 9
= 3 × 16
= 48
Hence, he will need to buy 48 of the tiles
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By increasing the pendulum's mass and releasing the pendulum from a greater height the maximum potential energy
will increase and the maximum kinetic energy will decrease.
Answer: False
Step-by-step explanation:The potential energy will decrease and the kinetic will increase
Graph the linear function.
f(x) = 3x + 4
The graph of the linear function f(x) = 3x + 4 is plotted.
Define the term linear function?To find a linear function, we utilise the slope-intercept form or even the point-slope form.If the function's details are presented in its algebraic form, then f(x) = mx + b designates a linear function. Instead, to check if the data presented in table style reflects a linear function:Get the x-value variations.Get the y-value differences.Determine that there is a steady correspondence between the difference in y values and the difference in x values.For the given question, the function is given as;
f(x) = 3x + 4
Put x = 0, f(x ) = 4 ;(0, 4)
Put f(x) = 0, x = -1.33 ;(-1.33, 0)
Plot the points of the coordinate axis as shown in the graph.
Thus, the graph of the linear function f(x) = 3x + 4 is plotted.
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Which of the following functions does not have
zeros at - 1 and 47.
A.f(x)=x²-3x-4
B. f(x) = 2x² + 6x - 8
C. f(x) = -x² + 3x +4
D.f(x) = 2x² - 6x-8
Answer:
B
Step-by-step explanation:
f(-1)=(-1)²-3(-1)-4
f(-1)=1-3(-1)-4
f(-1)=1+3-4
f(-1)=0
Do this same process with all the equations until you find one that doesn't equal 0.
rearrange the formula below to make 'a' the new subject:
[tex]c + \frac{1}{2} a^{2}b = d[/tex]
Answer:
a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]
Step-by-step explanation:
c + [tex]\frac{1}{2}[/tex] a²b = d ( multiply through by 2 to clear the fraction )
2c + a²b = 2d ( subtract 2c from both sides )
a²b = 2d - 2c ( divide both sides by b )
a² = [tex]\frac{2d-2c}{b}[/tex] ( take square root of both sides )
a = ± [tex]\sqrt{\frac{2d-2c}{b} }[/tex]
What is the interest on a $1900 investment at 3% for 1 year?
The interest is $57 on a $1900 investment at 3% for 1 year
Given,
In the question:
Principal = $1900
Rate of interest = 3%
Time = 1
Now, According to the question:
Principal = $1900
Rate of interest = 3%
Time = 1
Substitute:
Principal = $1900
Rate of interest = 3%
Time = 1 into formula Interest = P x R x T
I = 1900 x 0.03 x 1
Calculate the product or quotient:
I = 57
Hence, The interest is $57 on a $1900 investment at 3% for 1 year.
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what do you add to 5 8/9 to make 7
On a photograph an ant is enlarged at a scale 25:1. In the photo, the ants leg is 15 cm. What is the actual length of the ants leg?
Answer:
0.6cm
Step-by-step explanation:
25 : 1
1 : 0.04
15 : 0.6
how is solving an equation that includes cubes similar to solving an equation that includes squares? how is it different?
The difference in solving equations with cubes and squares is of one additional step of reducing the cubic equation to a quadratic equation. In this way, a quadratic equation (variable raised to power 2) is separated from the given cubic equation.
For example, x3+3x2+x1+3=0 can be reduced to (x+3) and (x2+1), where the later one is a quadratic equation. This step is never part of a squared equation’s solution.
The similarity is from here onwards. Quadratic equations are solved similarly in both cases. Although there are multiple possibilities for roots differing from each other in nature. But once a quadratic equation is developed, the solution from there onwards is mostly generic.
You can refer to the following formula for solving quadratic equations efficiently:
x= -bb2-4ac2a
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1.A recipe for salad dressing calls for three parts oil for every one part vinegar. How many tablespoons of oil are vinegar are needed to make 1/2 cup salad dressing?
Answer:
4 to 7 percent.
Step-by-step explanation:
We use the traditional oil-to-vinegar ratio: three parts oil to one part vinegar/acid, but this ratio can vary depending on your choice of vinegar/acid and personal taste. The less acidic the vinegar/acid, the less oil you need. It's all about balance!
after a bride has interviewed 6 djs to play at her wedding, her fiance tells her she needs to narrow it down to 3 djs. in how many ways can she rank the 3 djs? a) 20 b) 18 c) 720 d) 3 e) 120 f) none of the above.
The number of way in which bride can rank the three Djs out of 6 is 120.
Defined the word permutation?The number of possible arrangements for a given set is determined mathematically, and so this procedure is referred to as permutation. Simply said, a permutation is a concept that refers to the wide range of possible arrangements or orders. The arrangement's order is important if using permutations.There are several different ways we might rank the three DJs.
Therefore, we must identify the permutation P. (6,3).
Total number of DJs = 6Required number of DJs = 3ⁿPₓ = n!/(n - x)!
⁶P₃ = 6!(6-3)!
⁶P₃ = 6×5×4
⁶P₃ = 120
Thus, the number of way in which bride can select the three Djs out of 6 is 120.
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Find a rational function that has vertical asymptotes x= -4 and x= 2 and x-intercept (3,0). Write equation and show work
Step-by-step explanation:
to create a vertical asymptote (a tangent of the curve in infinity) at x = n we define e.g.
f(x) = 1/(x - n)
the cost x gets to n, the much closer the function gets to 1/0 and infinity.
so, the part to get us the asymptote at x = -4 is
1/(x + 4)
the part to get us the asymptote at x = 2 is
1/(x - 2)
and the part that gives us a zero solution at x = 3 is
(x - 3)
because that is what the point (3, 0) is : when x = 3. then y = 0.
now we only need to multiply all 3 parts to combine them :
f(x) = 1/(x + 4) × 1/(x - 2) × (x - 3)
Find the solution to the following equation: 2(2x - 7) = 14
x = 14
x = 7
x = 1
x = 0
Answer:
x=7
Step-by-step explanation:
2(2x - 7) = 14
Solve for x
Divide each side by 2
2/2(2x - 7) = 14/2
2x-7 = 7
Add 7 to each side
2x-7+7 = 7+7
2x = 14
Divide each side by 2
2x/2 = 14/2
x = 7
Answer:
b) x = 7
Step-by-step explanation:
Given equation,
→ 2(2x - 7) = 14
Now the value of x will be,
→ 2(2x - 7) = 14
→ 4x - 14 = 14
→ 4x = 14 + 14
→ x = 28/4
→ [ x = 7 ]
Hence, the value of x is 7.
-2x+5=23 what is x i dont know how to find it
Answer:
x=-9
Step-by-step explanation:
-2x+5=23
-5 on both sides
-2x=18
/-2 on both sides
x=-9
18. Which of the following are solutions to the equation 19.
-11x = 2x² +15? Select all that apply.
x²
a. -5
b. -3
c. -5/2
d. 5/2
e. 3
f. 5
The solutions to the given equation are -5/2 and -3. These answer can get after using quadratic formula.
How can find solution using quadratic formula ?The quadratic formula is a formula that offers a quadratic equation's solution. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
In the literature, there are numerous ways to derive the quadratic formula. The common one uses the completing the square method in a straightforward manner.
The given equation is :
-11x = 2x² +15
Move terms to the left side
-11x -(2x^2 +15) =0
Rearrange terms
-2x^2 - 11x -15 = 0
Common factor
-(2x^2+ 11x +15) =0
Divide both sides by the same factor
2x^2 +11x +15 =0
Use the quadratic formula
x = -11 ± √11² - 4 * 2*15/2*2
x =-11±1/4
Solve
x = -5/2
x= -3
The value of x will be -5/2 or -3.
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Carter bought p packs of baseball cards. There are 12 cards in each pack. Write an expression that shows how many baseball cards Carter bought.
The expression that shows the number of baseball cards is 12n
How make an expression that shows how many baseball cards?An algebraic expression in mathematics is an expression that is made up of letters and numbers, along with algebraic operations (addition, subtraction, multiplication, etc). Expressions are made up of terms
Given that: Carter bought p packs of baseball cards and there are 12 cards in each pack
To know the number of baseball cards, we have to multiply the number of packs by the number of cards in each pack:
Since the number of packs = n and the number of cards in each pack = 12.
Thus, total number of baseball cards = 12 x n = 12n
Therefore, the expression that shows how many baseball cards Carter bought is 12n
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a medical device company knows that 11% of patients experience injection-site reactions with the current needle. if 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11Sample size : n= 4Let x be a binomial random variable that represents the people get an injection-site reaction.Binomial probability formula: The required probability : P(x=0)learn more about probability click here:
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A (8,4)
B (4,3)
C (4,-9)
D(2,-1)
please explain your answer!!!
Neither.
Parallel lines (when the line continues), never intersects. Perpendicular lines intersect and create a 90 degree angle.
The angle created by the lines intersect but do not create a 90 degree angle.
Solve for X please!!!!!!!!!!!!! I need this answer ASAP
2x + 1/3x = 21
We know:
we can add/subtract the same expression to both sides of the equation to get an equivalent equation;we can multiply/divide both sides of the equation by the same non-zero number to get the equivalent equation.Equivalent equations are algebraic equations that have identical solutions.
We have the equation:
[tex]2x+\dfrac{1}{3}x=21[/tex]
SOLUTION:multiply bot sides by 3
[tex]3\cdot2x+3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}x=3\cdot21\\\\6x+x=63\\\\7x=63[/tex]
divide both sides by 7
[tex]\dfrac{7\!\!\!\!\diagup x }{7\!\!\!\!\diagup}=\dfrac{63}{7}\\\\\boxed{x=9}[/tex]
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 2x + (1/3)x = 21
Now the value of x will be,
→ 2x + (1/3)x = 21
→ (6/3)x + (1/3)x = 21
→ (7/3)x = 21
→ 7x = 21 × 3
→ 7x = 63
→ x = 63/7
→ [ x = 9 ]
Hence, the value of x is 9.
Sweet Lucy’s ice cream shop offers customers 2 different types of cones, 5 different flavors of ice cream, and 6 different toppings. Assuming a customer picks one type of cone, one flavor of ice cream, and one topping only, how many different combinations of cone, ice cream, and topping are possible?
60 different combinations of cone, ice cream, and topping are possible.
What is combination?The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.
Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings
Total combination = 2*5*6 = 60
Hence, there are 60 different combinations of cone, ice cream, and topping are possible.
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An object attached to a coiled spring is pulled down a distance, lal, from its rest position and then released. Assuming that the motion is simple harmonic with period T,
write a function that relates the displacement, d, of the object from its rest position after t seconds. Assume that the positive direction of the motion is up.
|a| = 3; T = 8 seconds
below
Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.
In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).
Step-by-step explanation:
To rent a taxi in Philadelphia, the taxi service charges a flat rate of
$35.80 and an additional $5.60 per mile driven. Write an equation
in slope-intercept form where x represents the distance of the trip,
and y represents the amount the taxi service would charge to drive
that distance.
Please I need help badly
Answer:
y = 5.60x + 35.80
Step-by-step explanation:
trust
HELPPPP I'm so confused!!! 60 POINTSSSS!!!
Answer:
que tienes que realizar no se entiende tu pregunta lo siento
Noah runs a farm stand that sells bananas and raspberries. Each pound of bananas
sells for $3 and each pound of raspberries sells for $2.25. Noah made $72 from
selling a total of 28 pounds of bananas and raspberries. Graphically solve a system of
equations in order to determine the number of pounds of bananas sold, a, and the
number of pounds of raspberries sold, y.
There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.
What is Co-ordinate Geometry?
Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.
Solution:
let, the total weight of banana sold be x pounds
and total weight of raspberries soldd be y pounds.
From the data given in the question, the equation formed is
3x + 2.25y = 72
(See Graph)
at x = 28 we will get the value of y as -5.34
which is not a possible solution
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I need help like asap !!!
only numbers and decimal points
Answer:
24.41
Step-by-step explanation:
a^2+b^2=c^2
14^2+20^2=c^2
196+400=596
14^2+20^2=24.41^2
1 million divided by 2
500,000
OR
five hundred thousand