Answer:
50.2
Step-by-step explanation:
Natalie is paid for writing numbers on pages of a book. She is paid for writing each digit of the number. If she wrote 702 digits, how many pages is the book?
Answer:
I think 1,000??
The ages of three friends are represented by three consecutive odd integers. If the youngest of
the three is represented by m, express the sum of the ages of the three friends.
Solving the Question
We're given:
m is the smallest age.This means that the consecutive odd integers will be m + 2 and m + 4.
If we add all their ages, it will look like this:
[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]
Answer[tex]3m+6[/tex]
FENCING Vanessa has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area toenclose at least 1800 square feet. What are the possible widths of the play area? List the smallest width first.
The possible widths of the play area is mathematically given as
w =30 w=60This is further explained below.
What are the possible widths of the play area?Generally, the equation for perimeter is mathematically given as
P =2(l+w)
180 =2(l+w)
2(l+w) =180
[tex]l+w = \frac{180}{2}[/tex]
l+w =90
A =l \times w
1800 &=l *w
l *w =1800
l *w =1800
Substitute Eq. 3 in the Eq. 2:
l *w=1800
(90-w) *w=1800
90w-ww=1800
90w-w^2=1800
w^2-90 w+1800=0
Therefore
w^2-90 w+1800 =0
[tex]\left(w^2-30 w\right)+(-60 w+1800) =0[/tex]
w(w-30)-60(w-30) =0
(w-30)(w-60) =0
Thereofre
w =30
w=60
In conclusion, Because of this, the width of the rectangular play space is either thirty or sixty feet.
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Complete the table of values for f(x) = -3|x+1|-4 using the table of values for g(x) = |x|
f(x)>=-7
Functions:
Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.
If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x
Given :
f(x) = -3|x+1|-4
using the table of values for g(x) = |x|
Solution :
f(x) = -3|x+1|-4
f(x) = -3|g(x)+1|-4
f(x) = -3||x|+1|-4
which means |x| is always positive |x|>0
f(x) = -3||x|+1|-4
f(x) = -3x-3-4
f(x) = -3x-7
f(x)>=-7
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Help me
Evaluate the expression.
Do not round your answer.
image:-
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
2 ( [tex]\frac{1}{3^2}[/tex] )
= 2 ( [tex]\frac{1}{9}[/tex] )
= 2 × [tex]\frac{1}{9}[/tex]
= [tex]\frac{2}{9}[/tex]
22) Larry earns a yearly salary of $35,000 plus 5% commission on his sales. If his total sales for the
aro $260.000 what will be his total earnings ( salary and commission) for the year?
Answer:
48000
Step-by-step explanation:
260000*5%=13000
35000+13000=48000
The granite sample has a
mass of 24. 31 g and a volume
of 9. 35 cm3. What is the
density of the granite?
d = [?] g/cm3
4. If C.P of a product is E950 and loss percentage is 6%, then find the S.P of the product.
So S.P of the product is 10.4% .
We have been given C.P of a product is E950 and loss percentage is 6%,.
So the starting price is the the price for which something actually sells.
And the cost price represents the specific value that represents unit price purchased. This value is used as a key factor in determining profitability, and in some stock market theories it is used in establishing the value of stock holding.
A saving account has a rate of interest of 10 denoted by our which we can write equal to 0.1 in decimal form and we have to calculate the effective annual yield yield if the interest is calculated quarterly, that means we have the number of compounds per year denoted by M equal to four. The effective yield denoted by capital Y is given by the formula one plus are divided by M. Hold raised to the Power M -1. After putting in the values of R and M we get one plus 0.1 divided by four. Hold raised to the Power 4 -1, equal to one plus 0.25 raised to the power four minus one which is equal to 1.025 raised to the Power 4 -1. On simplifying this further, we get the value equal to 0.1038. Now this value is in the decimal form to convert it into percentage. We will multiply this value by 100. That means we have like 0.1038 multiplied by 100 Which gives us 10.38. And after rounding it off to one decimal place, we get the value 10.4%.
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find the point that partitions CD in the ratio 1:2 c(-1,7) and d(5, 1)
Coordinates of the point that partitions the line into the given ratio is; (1, 5)
How to divide a line segment?
If the ratio dividing a line segment represents a:b, then the formula to divide the line segment is;
Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}
From our question, we have the ratio as;
1:2. Thus; a = 1 and b = 2
Our coordinate of CD is; C(-1,7) and D(5, 1)
Thus;
x₁ = -1
x₂ = 5
y₁ = 7
y₂ = 1
Coordinates of the point that partitions the line into the given ratio is;
Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}
Coordinate = (3/3, 15/3) = (1, 5)
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2. A container in the shape of a cube can hold 1,000 cm³ of water. What is the edge length of the container?
Answer:200
Step-by-step explanation:1,090
An engineer is estimating the weight of a steel beam. the actual weight of the beam is 286 pounds. the engineer's estimate is 300 pounds.
find the absolute error and the percent error of the engineer's estimate. if necessary, round your answers to the nearest tenth.
The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
Absolute Error is defined as the difference between The Actual value and the estimated value .
Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .
[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]
Given that the Estimated value =300 pounds
Actual Value=286 pounds
Absolute Error=300-286=14 pounds
Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]
=[tex]\frac{14}{286} *100=4.89[/tex]%
Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
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Three red cards are numbered 1, 2, and 3 and the other three green cards are also numbered 1, 2, and 3. All of them are in a box. Randomly pick 2 cards one by one with returning before the second pick. Find the probability that they have the same number or the same color.
Answer:
Step-by-step explanation:
According to the information, first pick with returning make the question easy, it means that fist pick and second pick are independent events, we want to calculate the probability of same number or same color so 'or' means the addition method in statistics, from above second card has same number or same color decide the probability, not the first picked card,
P = P(same number) + P(same color) = 1/3 + 1/3 = 2/3
Or you can draw a tree diagram
e
The temperature in a town is 23.3°F during the day and -21.4°F at night. Find the difference in the temperatures.
Answer:
53.7 degrees.
Step-by-step explanation:
0.6x +0.5=0.8x - 1.1
Answer:
8
Step by step :
0.6x = 0.8x-1.1-0.5
0.6x-0.8x = -1.6
-0.2x = -1.6
x = -1.6/-0.2
x = 8
Please help with algebra!
Answer: x=-10
Step-by-step explanation:
LMN=LMF+FMN
125=x+48+x+97
125=2x+48+97
125=2x+145
2x=-20
x=-10
el precio de un terreno rectangular es $8736. si su largo es 17,50 m y su ancho, 15,60 m , halla el precio del metro cuadrado...
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
¿Cómo determinar el precio por cada metro cuadrado?
Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:
A = a · l
El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:
A = (17.50 m) · (15.60 m)
A = 273 m²
c = C / A
c = 8736 / 273
c = $ 32 / m²
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
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∠A and \angle B∠B are vertical angles. If m\angle A=(2x+19)^{\circ}∠A=(2x+19) ∘ and m\angle B=(3x-18)^{\circ}∠B=(3x−18) ∘ , then find the measure of \angle A∠A.
The measure of Angle ∠A is 93
How to find the measure of angle ∠A?The given parameters are
Angle ∠A = 2x + 19
Angle ∠B = 3x - 18
The angles are vertical angles
So, we have
Angle ∠A = Angle ∠B
This gives
3x - 18 =2x + 19
Collect the like terms
3x - 2x = 18 + 19
Evaluate the like terms
x= 37
Substitute x= 37 in Angle ∠A = 2x + 19
Angle ∠A = 2 x 37 + 19
Evaluate
Angle ∠A = 93
Hence, the measure of Angle ∠A is 93
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Use the distributive property to remove the parentheses.
(−6+3u+3w)(−8)
X
Ś
Answer:
you should use words that can help some people can,t under stand so this is what
What is the slope of the line?
1/2
-1/2
-2
2
Answer:
1/2
Step-by-step explanation:
If angle A is 4x+2 and angle B is 11x, what is the value of x? (round to the nearest tenth)
Answer: 13.6 or 9.2
Step-by-step explanation:
Answer:
x=2/7
Step-by-step explanation:
The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.
To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.
When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form? brainley
The slope-intercept form will be easier to write the equation of the line.
What is the equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The equation of the line for the slope and intercept form is y = mx + c. Where m is the slope of the line and c is the y-intercept of the line.
Therefore, the slope-intercept form will be easier to write the equation of the line.
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Why is nobody ANSWERING ME PLS MAth HELPPPPPP 12 points
Answer:
Step-by-step explanation:
Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^
So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.
Slightly above that, more near to the top you are going to want to write 85.
On the second Line drawn you are going to want to label the middle horizontal line 4
Above that, near the top write 854
The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.
for question 3. a
the answer would be 18.4 if you round to the tenths, or 18.39
This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)
For question 3. b
1 meter = 100 centimeters, so we would multiply 18.386 by 100
That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)
This would give us 1838.6 centimeters.
And I cant read question 4(sorry)
Hope this helps!!
Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.
Both functions are the solution to the given Laplace solution.
Given Laplace's equation: [tex]u_{x x}+u_{y y}=0[/tex]
We must determine whether a given function is the solution to a given Laplace equation.If a function is a solution to a given Laplace's equation, it satisfies the solution.(1) [tex]u=e^{-x} \cos y-e^{-y} \cos x[/tex]
Differentiate with respect to x as follows:
[tex]u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x[/tex]
Differentiate with respect to y as follows:
[tex]u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x[/tex]
Supplement the values in the given Laplace equation.
[tex]e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0[/tex]
The given function in this case is the solution to the given Laplace equation.
(2) [tex]u=\sin x \cosh y+\cos x \sinh y[/tex]
Differentiate with respect to x as follows:
[tex]u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y[/tex]
Differentiate with respect to y as follows:
[tex]u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y[/tex]
Substitute the values to obtain:
[tex]-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0[/tex]
The given function in this case is the solution to the given Laplace equation.
Therefore, both functions are the solution to the given Laplace solution.
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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)
What is the area of the semicircle? Use 3.14 for pi. 22cm
hi
area of circle is π* radius²
as radius is half diameter, and as diameter is 22 , so radius is 22 /2 = 11 cm
so area is 11²π and 11² = 121 then area is 121π
as it is say to use 3.14 for pi , then 121*3.14 = 379.94
but 379.94 is the area of the whole circle , and we only have half.
so : 379.94 / 2 = 189.97
area of semi circle is 189.97
Which number would be found on the number line between 0 and -1
Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9
Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.
please help!
Given an arithmetic progression -8, -3, 2,.... Determine three consecutive terms in this progression which sum up to 111.
Answer:
9th, 10th and 11th terms; 32, 37 and 42=============================
Given AP:
-8, - 3, 2, ...We observe that:
The first term is a = - 8,The common difference is d = -3 - (-8) = 2 - (-3) = 5.Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13The following two terms are:
aₙ₊₁ = 5n - 13 + 5 = 5n - 8aₙ₊₂ = 5n - 8 + 5 = 5n - 3Their sum is 111, set an equation and solve for n:
5n - 13 + 5n - 8 + 5n - 3 = 11115n - 24 = 11115n = 135n = 135/15n = 9The three terms are 9th, 10th and 11th terms and they are:
5*9 - 13 = 45 - 13 = 3232 + 5 = 3737 + 5 = 4217. the amount a of money in an account after simple interest has been earned is given
by the formula a = p + prt where p is the principal, r is the annual interest rate
in decimal form, and t is the time in years.
a. solve the formula for r
b. the amount of money in an account after interest has been earned is $1080, the
principal is $1000, and the time is 2 years. what is the annual interest rate?
c. solve the formula for p.
pl
a) the formula for r is r = (a/p - 1)/r
b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04
c) The formula for p is p = a/1+rt
Simple Interest:
Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
the amount a of money in an account after simple interest has been earned is given by the formula
=> a = p + prt
where
p is the principal,
r is the annual interest rate in decimal form, and
t is the time in years.
Here we need to find the following:
a. solve the formula for r
b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?
c. solve the formula for p.
a) The formula for r is calculated by moving the other elements and hold on r.
Then, the given formula,
=> a = p + prt
=> a = p (1 + rt)
=> a/p = 1 + rt
=> a/p - 1 = rt
=> r = (a/p - 1)/r
b) The given values are
p = $1000
t = 2
a = $1080
Now apply the values on the formula r to find the value of it,
=> r = ([1080/1000] - 1)/2
=> r = (1.08 - 1) /2
=> r = 0.08/2
=> r = 0.04
c) The formula for p can be derived as follows:
=> a = p + prt
=> a = p(1+rt)
=> p = a/1+rt
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PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
5/6
Step-by-step explanation:
f(x) =22 - 4x-7
find the following values.
f (2) =
f(4) =
f(-3)=
Answer:
your your question is wrong please make sure
12. Jeremy has 3 pounds of ground beef to make hamburgers. How many 1/3-pound hamburgers can he make?
Answer: He can make 9 hamburgers.
Step-by-step explanation:
one hamburger can be made by 1/3 of beef,
so according to ratio and proportions ,
1 beef can make 3 hamburgers,
hence 3 pound of beef can be used to make
=3*3
=9 hamburgers
hence,
He can make 9 hamburgers.
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Answer:1
Step-by-step explanation: firstly , divide 3 by 1\3 then 3÷1\3=1