Answer:
441
Step-by-step explanation:
Use a proportion.
756 miles is to 12 hours as x miles is to 7 hours
756/12 = x/7
12x = 7 * 756
12x = 5292
x = 441
Answer: 441 miles
Answer:
441
Step-by-step explanation:
756 divided by 12 = 63
Jim drives 63 miles in 1 hour
Multiply 63 by 7
63 ⋅ 7 = 441
Jim will drive 441 miles in 7 hours
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re arrange the equations
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How to convert mC to c?
To convert millicoulomb (mC) to coulomb (C) divide C by 1000.
What is electric charge?
Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field.
Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively.
The coulomb is used to measure electric charge.
"The amount of charge transported in one coulomb in one second."
The definition of a coulomb is expressed mathematically as -
Q = I · t
In the equation, Q is the electric charge, I is the electric current and t is the time.
1 coulomb of charge consists of 1000 millicoulomb charge.
To convert millicoulomb to coulomb use the formula -
mC = C/1000
So, 1 Millicoulomb [mC] = 0.001 Coulomb [C].
Therefore the value of 1 mC is 0.001 C.
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Which value does NOT represent the shaded portion of the model shown? A 3/5 B. 0.3 C. 60% D. 0.6
Answer:
B
Step-by-step explanation:
All the rest = 3/5, 3 shaded out of 5
:]
the number of customers served per day by a large department store is normally distributed, with a mean of 3,250 customers and a standard deviation of 320. find the range of customers served on the middle 50 percent of days.
The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.
Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50% the data.
In order o find range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation
The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate the raw scores that concerning the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514
The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.
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there is 1 prize
daniel buys 17 Raffel tickets
a total of 280 tickets were sold
find the probabillity that daniel does not win the prize
Answer:
he still needs 263 so he is probably going to need more tickets
Answer: elo pgutpa soy hui 263
A savings account balance is compounded continuously.If the interest rate is 3.1% per year and the current balance is 1077.00 in how many years will the balance reach 1486.73?
Answer:13.8 is the best answer i could get
Step-by-step explanation:1,077 multiply that × 13.8 =14,862
Boys to girls in a classroom is 3:5. If there are 9 boys in Mr. Franklin’s class, what is the total number of students in Mr. Franklin's class? *
Answer:
24
Step-by-step explanation:
3 x 3 = 9
5 x 3 = 15
15 + 9 = 24
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\(\sf 4x-15=3\)
\(\sf \longmapsto4x-15=3\)
\(\sf \longmapsto4x = 3 + 15\)
\(\sf \longmapsto4x = 18\)
\(\sf \longmapsto{x }= \frac{18}{4}\)
\(\sf \longmapsto x = 4.5\)
Answer:
\(x=\cfrac{9}{2}\;\; or \;\;4.5\)
Step-by-step explanation:
\(4x-15=3\)
\(4x-15+15=3+15\) Add 15
\(4x=18\)
\(\cfrac{4x}{4}=\cfrac{18}{4}\) Divide by 4
\(x=\cfrac{9}{2}\)
) explain in words how the math is supposed to work for calculating the number of scenarios. (b) show the arithmetic behind calculating the final value. (c) why is it important to be able to estimate the number of scenarios before beginning your full assessment?
a) The connection of the literacy principle to assessments created and used by preceptors and others directly involved in classrooms is fairly straightforward. Less egregious is the connection of the principle to assessments created and assessed by parties outside the classroom. Tradition has allowed and indeed encouraged some assessments to serve responsibility or monitoring purposes without sufficient regard for their impact on pupil literacy.
b) To satisfy the literacy principle, assessment must change in ways consonant with the current changes in tutoring, literacy, and class. In the history, pupil literacy was frequently viewed as a unresistant process whereby scholars flashed back what preceptors told them to flash back . harmonious with this view, assessment was frequently allowed of as the end of literacy. The pupil was assessed on commodity tutored preliminarily to see if he or she flashed back it. also, the mathematics class was seen as a fractured collection of information given meaning by the schoolteacher.
c) The alternate chance gave scholars the occasion not simply to redo the questions on which they were unprofitable in the first stage but, more importantly, to give lesser attention to the essay questions they had little time to address. similar two- stage testing basically formalizes what numerous preceptors of writing do in their courses, giving scholars an occasion to revise their work after the schoolteacher or other scholars have read it and offered suggestions.
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Create a line parallel to ABand passes thru point C
First, the definition of parallel lines is:
Lines on a plane that never meet. They are always the same distance apart.
Considering the definition we draw the parallel line as a line that has all its points at the same distance of the one that passes through A and B.
Two interacting populations of hares and foxes can be modeled by the recursive equations:h(t+1)=4h(t)-2f(t)f(h+1)=h(t)+f(t)For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f(t).a. h(0)=f(0)=100b. h(0)=200, f(0)=100c. h(0)=600, f(0)=500
The closed formula of h(t) and f(t) for
h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,
h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)
h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)
The recursive equations for the given two interacting population of hares and foxes are
h(t+1)=4h(t)-2f(t)
f(h+1)=h(t)+f(t)
for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)
where h(0) = f(0) =100h(t) = 100(2t+1)
f(t) = 100(2t-1)
where h(0) = 200, f(0) =100h(t) = 200(2t+1)
f(t) = 100(2t-1)
where h(0) = 600, f(0) = 500h(t) = 300 + 200(2t+\((-1)^{t}\))
f(t) = 200 - 100\((-1)^{t}\)
The closed formula of h(t) and f(t) for
h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,
h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)
h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)
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The total surface area of a cube is 96cm2, find its volume.
Answer:
\(\huge\boxed{V=64cm^3}\)
Step-by-step explanation:
The formula of a surface area of a cube:
\(SA=6a^2\)
The formula of a volume of a cube:
\(V=a^3\)
We have
\(SA=96cm^2\)
Calculate the edge length (a).
\(6a^2=96\) divide both sides by 6
\(a^2=16\to a=\sqrt{16}\\\\a=4(cm)\)
Calculate the volume of a cube:
\(V=4^3=64(cm^3)\)
consider the adjacent figure.
why arent the angles in the figure equal alternate angles?
A. the two lines cut by the transversal are not parallel, B. The two lines cut by the transversal are not equal in length, C. the two lines cut by the transversal do not intersect, D. the two lines cut by the transversal are not perpendicular
Answer:
A
Step-by-step explanation:
James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile
Answer:
30cm
Step-by-step explanation:
Find L.C.M of 90 and 120
Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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If x^2 -8x=48 and x<0, what is the value of x+10?
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
\(x^2-8x=48\)
To solve for x, turn one side of the equation into 0 and solve. Therefore:
\(x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12\)
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
\(x+10\\(-4)+10\\=6\)
Rachana has a set of ten mugs the set up is made of 3 different mugs
If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.
To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.
Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.
For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.
Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.
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Complete question is:
Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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if (a²-1/a²)=23 find the value of i) (a+1/a), ii) (a³+1/a³)
pls help me
Answer:
5
Step-by-step explanation:
(a + (1/a)2 = a2 + (1/a2) + 2
⇒ (a + (1/a))2 = 23 + 2
⇒ (a + (1/a))2 = 25
⇒ a + (1/a) =
⇒ a + (1/a) = 5
a3+b3=
(a+b)
(a2−ab+b2)
where a=a
and b=1/a.
so sum it up u get -1
find the slope of the line,
Please Help i am confused
Answer:
Slope = -1
Step-by-step explanation:
We will use 2 points from the graph.\
(0 , 2) and (2 , 0)
formula for slope = y2 - y1/x2 - x1
0 - 2/2 - 0
=-2/2
=-1
Let Gle) be the generating function for the sequence , 3.. Expres the generating ao, a1, a2, a3,.... Express the generating function of each sequence below in terms of r and G(x). (a) 2ao, 2a1,2a2,2a3, .. (b) 0,ao,a1,a2,. (c) 0,0,a2, a3,a4,as. (d) ao, 2a1,4a2,8a3,... (e) ao, a1 +ao, a2 + a1,a3 a2,.
Previous question
The generating function for the sequence can be expressed as G(x) = 1/(1 - 3x).
How can we express the generating functions of different sequences in terms of r and G(x)?The generating function G(x) represents a sequence of numbers, where G(x) = a0 + a1x + a2x^2 + a3x^3 + ..., where ai represents the ith term of the sequence.
Step 1: For the given sequence with the generating function G(x) = 1/(1 - 3x), we can express the generating functions of different sequences as follows:
(a) The generating function for the sequence 2ao, 2a1, 2a2, 2a3, ... can be expressed as 2G(x).
(b) The generating function for the sequence 0, ao, a1, a2, ... can be expressed as xG(x).
(c) The generating function for the sequence 0, 0, a2, a3, a4, ... can be expressed as x^2G(x).
(d) The generating function for the sequence ao, 2a1, 4a2, 8a3, ... can be expressed as G(2x).
(e) The generating function for the sequence ao, a1 + ao, a2 + a1, a3 + a2, ... can be expressed as G(x)/(1 - x).
Step 2: How can we express the generating functions of different sequences using the generating function G(x)?
Step 3: The generating function G(x) = 1/(1 - 3x) represents a sequence where the coefficients of the terms correspond to the powers of x. By manipulating the given generating function, we can express the generating functions of different sequences.
For example, to express the generating function of the sequence 2ao, 2a1, 2a2, 2a3, ..., we simply multiply the original generating function G(x) by 2. Similarly, by multiplying G(x) by x, x^2, or 2x, we can obtain the generating functions for the sequences in parts (b), (c), and (d), respectively.
In part (e), the generating function represents a sequence where each term is the sum of the corresponding term and the previous term from the original sequence. To achieve this, we divide G(x) by (1 - x).
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What is the square root of 1/23?
0.04347826086
Step-by-step explanation:
this is the anwser,just round to whatever you need to
Answer:
0.20851
Step-by-step explanation:
\(\sqrt{\frac{1}{23} } \\\\Refine \\=0.20851\dots\)
John's parents decide to use the least-squares regression line of John's height on age to predict his height at age 21 years (252 months). What conclusion can we draw?
We conclude: that the parents will get a fairly accurate estimate of his height at age 21 years because the data are clearly correlated.
The correct option is: such a prediction could be misleading, since it involves extrapolation.
We find the regression equation has positive slope and for a new born child height is intercept
H = 0.3739A + 20.4595
is the relation between height and age.
When we find 252 months this is very far from the age we have considered and hence:
A = 252
H = 0.3739(252) + 20.4595
H = 114.6823
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The given question is incomplete, complete question is:
John's parents recorded his height at various ages up to 66 months. Below is a record of
the results.
Age (months) 36 48 54 60 66
Height(months) 35 38 41 43 45
John's parents decide to use the least-squares regression line of John's height on age
based on the data in the previous problem to predict his height at age 21 years (252
months). We conclude
A) John's height, in inches, should be about half his age, in months.
B) The parents will get a fairly accurate estimate of his height at age 21 years, since
the data are clearly correlated.
C) such a prediction could be misleading, since it involves extrapolation.
D) all of the above.
Suppose that 13 inches of wire cost 78 cents. At the same rate, how many inches of wire can be bought for 42 cents
Step-by-step explanation:
13 in / 78 c * 42 c = 7 inches
Answer:
approximately 7 inches of wire can be bought for 42 cents.
Step-by-step explanation:
whats 8 + 7x = 23 - 2x ?
Answer:
Answers could be 5/3 1.6 or 1 2/3
Step-by-step explanation:
That's all I can say I'm sorry
Answer:
x= \(\frac{3}{2}\)
I would appreciate it if you can help me with this.
Answer:
\(450000 \leqslant 15000 + 4t\)
Please look at the image.
Answer: C or 6/5
Step-by-step explanation: the question is 4/5 plus 2/5 so 6/5
a spinner with the letters a, b, c, and d is spun. what is the theoretical probability of landing on the letter c?
The probability of the spinner landing on the letter C is 1/4
To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.
Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.
Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4
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The given question is incomplete, the complete question is:
A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C
a test worth 100 points has 14 questions. short-answer questions are worth 5 points and essay questions are worth 15 points. how many short-answer questions are on the test? how many essay questioons are on the test?
There are 11 questions worth 5 points and 3 questions worth 15 points.
What is the equation?An equation is a mathematical statement composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the correct number of questions:
Let, 5-point questions are x and 15 marks questions are y.
So, x + y = 14. ...(1)The total points are 100 so the other equation will be:
5x + 15y = 100 ...(2)Now, multiply equation (1) by 5 and then subtract it by equation (2) as follows:
Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.
5 (x + y = 14) ⇒ 5x + 5y = 70Now,
5x + 5y - 70 - 5x - 15y + 10010y = 30y = 3So, questions worth 15 marks are 3 then, and questions worth 5 marks will be 14 - 3 that is 11.
Therefore, there are 11 questions worth 5 points and 3 questions worth 15 points.
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What is the voltage drop across a TV that has a resistance of 150Ω and a current of 1.2A?
Answer:
180 V
Step-by-step explanation:
V = IR (Ohm's Law)
V = (1.2 A)(150 Ω) = 180 V
Answer:
180 volts.
Step-by-step explanation:
The voltage drop can be found using Ohm's law:
V = IR
where V is the voltage drop, I is the current, and R is the resistance.
Substituting the given values, we have:
V = (1.2 A)(150 Ω) = 180 V
Therefore, the voltage drop across the TV is 180 volts.