If a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.
Given that the salesperson has 7 customers in denver and 13 customers in reno.
We are required to find the number of ways in which he can make use of telephone.
Number of customers in denver=7
Number of customers in reno=13
Total customers=20
Since he can talk to one customer at one time and he can either choose customer from denver or reno, the number of ways by using combinations will be [tex]7C_{1}[/tex]+[tex]13C_{1}[/tex]
=7+13
=20 ways.
Hence if a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.
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3m
2. What is the volume of this object?
1m
2 m
6 m
4 m
3 m
Answer:
60m3
Step-by-step explanation:
my son got the right anser
Answer:
60m^3
Step-by-step explanation:
The formula for volume of a rectangular prism is height*width*depth
We can see two distinct shapes here
First, we find the volume for the bigger shape
We can see the measurements that pertain to it...
Width is 6m, depth is 3m, and height is also 3m
Multiply those three, you get 54m^3
Now the smaller shape...
1m in width, 2m in height, and 3m in depth
Multiply those, get 6m^3
Add the two shapes together, 54+6=60m^3
if a skip rope is a meter long and its a cm less how much is it pls answer
Answer:
99cm
Step-by-step explanation:
A meter is equal to 100cm
The rope is a metre (m) long but a centimetre (cm) less.
100cm - 1cm = 99cm
What is the range of the following set?
28, 45, 12, 34, 36, 45, 19, 20
A. 33
B. 57
C. 45
D. 8
Answer: A. 33
Step-by-step explanation:
During the season, the Rangers played 25 games. They won 14 of the games.
What fraction and percent of the games did they lose? Show your work in the
space below. Remember to check your solution.
Answer:
See below
Step-by-step explanation:
Out of 25 games, they won 14
Fraction won = won / total = 14 / 25
Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %
To find the number of games lost
25-14 = 11
Fraction won = won / total = 11 / 25
Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %
To check your work, the percent total should be 100
56+44 = 100
What is the volume of this rectangular prism? 1cm,6cm,2cm
Step-by-step explanation:
The result is 12 cm³ because to get the volume of a figure you have to multiply all the characters
5- Calculate the radius of a circle whose area is equal to the sum of the areas of 3 circles of radii 2cm, 3cm and 4cm
respectively.
the radius of the new circle =5cm
5cm is your answer love
Using the image, find the midpoint of the line segment. Reduce all fractions and enter using a forward slash (i.e. "/").
where should i place the points!! help please
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
(StartFraction negative 6 Over 2 EndFraction) squared = 9; p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Answer:
step 3
Step-by-step explanation:
he should have subtracted 9 to the outside.
whatever you do to the inside you must do to the opposite to the outside
so your final form must be -7(x-3)^2 + 8
Determine the most probable next term in each list of numbers.
Answer:
23. 216
24. 56
25. 52
for 26, 27 i'll try to calculate the answer, sorry
Solve the initial value problem.
ds 36t(91²-7)³, s(1)=1
dt
The solution is s =
Integrate both sides.
[tex]\displaystyle \int \frac{ds}{dt} \, dt = \int 36t (9t^2 - 7)^3 \, dt[/tex]
On the right side, substitute [tex]u=9t^2-7[/tex] and [tex]du=18t\,dt[/tex], so that
[tex]\displaystyle \int 36t (9t^2 - 7)^3 \, dt = 2 \int u^3 \, du = \frac12 u^4 + C = \frac12 (9t^2 - 7)^4 + C[/tex]
Use the initial value to solve for [tex]C[/tex].
[tex]s(1) = 1 \implies 1 = \dfrac12 (9 - 7)^4 + C \implies 1 = 8 + C \implies C=-7[/tex]
Then the particular solution is
[tex]s(t) = \boxed{\dfrac12 (9t^2 - 7)^4 - 7}[/tex]
Evaluate f(-3) for f(x) = 2^x
a. 1/8
b. -8
c. 8
d. -6
Answer:
A
Step-by-step explanation:
f(-3) = 2^-3
to get rid of a negative in an exponent, move the whole thing to the denominator.
1/(2^3)
2^3 = 2×2×2
1/(2×2×2)
1/8
14) Adelina is comparing prices for two brands of health and energy bars at the local grocery store.
She wants to get the best price for each bar. Feel Great energy bars are $18 for 12 bars. Super
Power bars cost $21.75 for 15 bars.
a) Write an equation to find the price for each bar of the Feel Great brand.
b) Write an equation to find the price of each bar for the Super Power brand.
c) Which bar should Adelina buy? Explain your reasoning.
The bar which Adelina should buy is super power brand because it cost less than feel great energy bar at $1.45 per bar
Unit priceFeel great energy bars = Total cost / number of bars
= $18 / 12
= $1.5 per bar
Super power brand = Total cost / number of bars
= $21.75 / 15
= $1.45 per bar
Therefore, the bar which Adelina should buy is super power brand because it cost less than feel great energy bar at $1.45 per bar
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PLS HELP ITS MATH PLS
[tex] \: \: \: \: \: \: \: y = \frac{ - 7x}{8} + 4 \\ \: \: \: \: \: \: multiply \: all \: by \: 8 \\ \: \: \: \: \: \: \: \: 8y = - 7x + 32 \\ \: \: \: \: \: \: \: \: \: 7x + 8y = 32[/tex]
( 7 , 8 , 32 )What tow numbers have a product of 52 and,when the larger number is divided by the smaller number, a quotient 4?
The numbers are 14.42 and 3.6055.
What is a dividend?It is the whole which is to be divided into different equal parts. For example, if 10 divided by 2 is 5, then 10 is the dividend here, which is divided into two equal parts whereas 2 is the divisor, the quotient is 5 and the remainder is 0.
We can write the system of equations
x*y=52 .......(1)
[tex]\frac{x}{y}[/tex]=4 ........(2)
We can use substitution to solve
From equation (2) we get,
x = 4y .......(3)
now substitute in equation (1)
4y*y = 52
[tex]4y^{2} = 52[/tex]
[tex]y^{2} = \frac{52}{4}[/tex]
[tex]y = \sqrt{13}[/tex]
y = 3.605
We can solve for x = ?
from equation (3)
x = 4y
x = 4*3.605
x = 14.42
Hence, The numbers are 14.42 and 3.6055.
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Slope=
Help me please thanks
Answer:
0
Step-by-step explanation:
In cartesian graphs, the slope or a gradient of a fully horizontal line will always be 0.
Measure of angle TRV?
Answer:
130 degrees
Step-by-step explanation:
We know (x-10)+(2x+10) is 180 degrees.
So first we need to find x. (x-10)+(2x+10)=3x
3x=180
x=60
Angle TRV is 2x+10.
If we input 60 in the place of x, it is 2(60)+10=120+10=130.
The answer is 130 degrees.
Suppose that a, b, c, d are positive real numbers such that a/b < c/d . What can you say about the fraction (a+c)/(b+d) ? Is it always, sometimes, or never between the fractions a/b and c/d ? Provide evidence of your claim. (If always or never, give an algebraic proof, otherwise, give two quadruples values of a, b, c, d in which one quadruple has (a+c)/(b+d) between a/b and c/d and the other does not.)
Answer: (a−c)(b−c)>0
Step-by-step explanation:
ab>1 and ac<01. a>0 if c<0 and also b>02. a<0 if c>0 and also b<0
how i did it:
At the vert first, write the inequality as an equation.
Solve the provided equation for one or more values.
Now, display all the values obtained in the number line.
Use open circles to show the excluded values on the number line.
Find the interim.
At the moment, take any random value from the interval and substitute it in the inequality equation to check whether the values reassure the inequality equation.
Intervals that reassure the inequality equation are the solutions of the given inequality equation.
PLEASE HELP!!! This table shows the profit for a company (in millions of dollars) in different years. The quadratic regression equation that models these data is y=-0.34x^2+4.43x +3.46. Using the quadratic regression equation, what was the predicted profit in year 4?
Answer:
15740000 million dollars in profit in year 4
Step-by-step explanation:
Now since you didn't provide the table, im going to have to assume the years are going to be the X while the Y is going to be profit.
Using the equation you provided y=-0.34x^2+4.43x +3.46, we can simply put 4 as our x value (since x represents years) and we would get 15.74. Now you have to remember to convert it into millions to show the profit so 15.74 times 1,000,000 would be 15740000 million dollars
What is the next number in the arithmetic sequence below??
I think it's D but I'm not sure.
3(x - 5) = 2(x - 5) + x
Solve for x please helppp
Answer: No solution
Distribute the parenthesis
3x-15=2x-10+x
Combine like terms
3x-15=3x-10
This answer has no solution for x.
A boardwalk game of chance costs $1 to play. you have a 25% chance of winning $1 back, a 20% chance of winning $2 (your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). what is the expected value of playing the game if you lose your bet 45% of the time?
Expected value of playing the game = $0.8
What is cost ?
Cost denotes the amount of money that a company spends on the creation or production of goods or services. It does not include the markup for profit. From a seller's point of view, cost is the amount of money that is spent to produce a good or product.
Cost of playing = $2
Expected return
10% chance to win $1 = $1 10% = $0.1
25% chance to win back $2 = $2 25% = $0.5
50% chance to win $5 = $5 50% = $2.5
15% chance to lose $2 (being cost) = $2 15% = ($0.3)
= $0.1 + $0.5 + $2.5 - $0.3 = $2.8
Now for this we have to pay fixed cost $2
Thus, expected value of playing game = $2.8 - $2 = $0.8
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What is the slope of the line that passes through
the points (2,
-4) and (5, 2)? Write your
answer in simplest form.
Answer:
2
Step-by-step explanation:
slope : ( The amount y increases , when x is increased by 1 )
slope : { y2 - y1 / x2 - x1 }
slope : y2 = 2
y1 = -4
x2 = 5
x1 = 2
You must minus the values in the formula to find the slope line that passes through the points:
slope : { y2 - y1 / x2 - x1 }
slope : (2) - (-4) / (5) - (2)
=> 2 + 3 / 3
=> 6/3
=> 2
Text explanation:
Difference between both y-coordinates. = 6
Difference between both x-coordinates. = 3
Divide the difference between y and x. =
y/x =2
Which means the slope of the line that passes through the points (2,-4) and (5,2) is 2.
Hope this helps! Sorry it took so long! ⸜(｡˃ ᵕ ˂ )⸝ xx
The slope of the line that passes through the points (2, -4) and (5, 2) is 2.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the line that passes through the points (2, -4) and (5, 2) can be calculated as shown below,
Slope = (y₂-y₁)/(x₂-x₁) = [2 - (-4)] / (5 - 2)= 6/3 = 2
Hence, the slope of the line that passes through the points (2, -4) and (5, 2) is 2.
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Divide. Write the quotient in lowest terms.
4 2/3 / 7
The quotient in lowest term exists 2/3.
What is an improper fraction?An improper fraction exists as a fraction whose numerator exists equivalent to, larger than, or of equivalent or higher degree than the denominator.
Given the quotient: [tex]$4\frac{2}{3} \div 7[/tex]
Write [tex]$\frac{2}{3}[/tex] in improper fraction
[tex]$4\frac{2}{3}= \frac{14}{3}[/tex]
Dividing throughout by 7 on both sides of the equation, we get
[tex]$4\frac{2}{3} \div 7 = \frac{14}{3}\div 7[/tex]
Change the division sign to multiplication by taking the reciprocal of 7
[tex]$\frac{14}{3}\div 7 = \frac{14}{3} \times \frac{1}{7}[/tex]
Simplifying the above equation, we get
[tex]$\frac{14}{3}\div 7 = \frac{2}{3}[/tex]
Therefore, the quotient in lowest term exists 2/3.
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Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator?
The number of ways people can get off the elevator is 604800 ways.
In this question,
Number of people, n = 7
Number of floors, r = 10
The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.
Number of ways people can get off the elevator can be calculated as
⇒ [tex]nP_r=\frac{n!}{(n-r)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(10-7)!}[/tex]
⇒ [tex]10P_{7}=\frac{10!}{(3)!}[/tex]
⇒ [tex]10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}[/tex]
⇒ [tex]10P_{7}=(10)(9)(8)(7)(6)(5)(4)[/tex]
⇒ 604800 ways.
Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.
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Which of the following is true with respect to the following functions:
The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"
What is the explanation for the above?Lets examine f(x) = 3x + 14Note that this function is indicative of a straight-line. See the attached graph for function 1. Note that it doesn't have any end points. That is, it is Asymptote.
Let us examine h(x) = 3ˣ + 1This represents an exponential graph. Just like the function above it doesn't have any end point. It however has an asymptote:
y = 0
Let us look at F'(x) = Log₃ (x = 1).
This is indicative of logarithm graph. It doesn't have any end but has an asymptote x == 0
Let us take a look at g(x) = X⁴ + 3x² - 14Notice that in the mid point there is an end point given as (0, -14). Thus, it is correct to state that the function in Option B is the only one that exhibits end behavior and as such is restricted.
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HELP
answer the questions 61 and 62 SHOW UR WORK please i’ll mark brainliest
help me
Answer:
Step-by-step explanation:
Find u special 4 A. 22‾√ 2 2 B. 4 C. 2 D. 2‾√
The value of u in the special triangle is 2√3
How to solve for u in the special triangle?The complete question is added as an attachment
From the attached figure, the value of u can be calculated using the following sine trigonometry ratio
sin(x) = Opposite/Hypotenuse
Where
x = 30
Opposite = u
Hypotenuse = 4√3
Substitute the known values in the above equation
sin(30) = u/4√3
Multiply both sides of the equation by 4√3
u = 4√3 * sin(30)
Evaluate the trigonometry expression sin(30)
u = 4√3 * 1/2
Evaluate the product
u = 2√3
Hence, the value of u in the special triangle is 2√3
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A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 2.5 cm and segment be = 3 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth.
3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.
What is diameter?
Diameter is the full length of the circle running from the edge, through the midpoint, all the way to the other side. That is this whole length right here. The diameter of a circle is represented by the letter d.we know that
The diameter of the circle is equal to BD
Applying the Pythagoras Theorem
BD² = BE² + DE²
substitute the given values
BD² = (3)² + (2.5)²
BD² = 9 + 6.25
BD² = 15.25
BD = √15.25
BD = 3.9 cm
Therefore , 3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.
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40 cm³ of water is poured into an empty measuring cylinder. A stone of mass 129g is put into the cylinder. If the density of the mixture of the stone is 8.6g/cm³, find the new reading of the cylinder.
Step-by-step explanation:
I assume the measuring cylinder measures the cm³ of its normally liquid content.
because for anything else we would need more information about the dimensions of the cylinder.
and so, originally the cylinder shows 40 cm³.
after dropping the stone in, how many cm³ of water is the cylinder then showing ?
let's first mention some facts we are going to use :
water weighs 1 kg (1000 g) per liter.
and 1 liter fits exactly into a cube of
10 cm × 10 cm × 10 cm = 1000 cm³
so, 1 cm³ water weighs exactly 1 g and has therefore a density of 1 g / cm³.
the stone has a density of 8.6 g / cm³, is therefore heavier than water and sinks (and replaces water correspondingly).
how many cm³ does the stone have (and replaces water) ?
well, it has 129 g, and 8.6 g of the stone fill a cm³.
so, it has
129 / 8.6 = 15 cm³
therefore, as these 15 cm³ of stone replace 15 cm³ of water, this is the same as putting 40 + 15 = 55 cm³ of water into the measuring cylinder.
and the cylinder reads now 55 cm³.
FYI : but there is still only 40 cm³ of water in there.
this is actually used to calculate the density of objects (by first weighing and then dropping them into the water to see how much water they replace).
Answer: 55 cm³.
Step-by-step explanation:
[tex]\displaystyle\\m_{stone}=129\ g\ \ \ \ \ \rho_{stone}=8,6\ \frac{g}{cm^3} \ \ \ \ \ V_{water}=40\ cm^3\ \ \ \ \ V=?.\\ \boxed {\rho=\frac{m}{V} }\\V=\frac{m}{\rho} \\V=V_{water}+V_{stone}\\V_{stone}=\frac{m_{stone}}{\rho_{stone}} \\V_{stone}=\frac{129}{8,6}\\V_{stone }=15\ cm^3.\\V=40+15\\V=55\ cm^3.[/tex]