Answer:
4
Step-by-step explanation:
[tex]\sqrt{x} 368640 = 1920[/tex]
The number of digits in 1920 is 4
The number of digits in the square root of 3686400 is 4.
What is square root?In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The square root of 3686400 is,
√3686400 = ±1920
The number of digits in 1920 is 4.
Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.
Thus, the number of digits in the square root of 3686400 is 4.
Learn more about the square root here,
https://brainly.com/question/3120622
#SPJ2
Solve:
4(x+3)-2=6
SHOW ALL WORK
Answer:
[tex] \sf \large \: x=−1[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+3)−2=6
Step 1: Simplify both sides of the equation.
4(x+3)−2=6
(4)(x)+(4)(3)+−2=6(Distribute)
4x+12+−2=6
(4x)+(12+−2)=6(Combine Like Terms)
4x+10=6
4x+10=6
Step 2: Subtract 10 from both sides.
4x+10−10=6−10
4x=−4
Step 3: Divide both sides by 4.
4x/4 = −4/4
x=−1
8. A total of $36,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in
bonds is to exceed that in CDs by $5,000, how much will be invested in each type of investment?
The amount invested in CDs is $
The amount invested in bonds is $
Using a system of equations, it is found that:
The amount invested in CDs is $20,500.The amount invested in bonds is $15,500.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: amount invested in CDs.Variable y: amount invested in bonds.The total invested is of $36,000, hence:
x + y = 36000.
The amount invested in bonds is to to exceed that in CDs by $5,000, hence:
x = y + 5000.
Replacing in the first equation:
y + 5000 + y = 36000.
2y = 31000
y = 15,500.
x = y + 5000 = 20,500.
Hence:
The amount invested in CDs is $20,500.The amount invested in bonds is $15,500.More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
PLEASE HELP!
Beth is solving this equation: 1/3 + 3 = 3/x
She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3 ."
Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.
You cannot multiply both sides by x because you do not know what x is.
After multiplying both sides by x you need to subtract 1 from both sides.
You can assume x does not equal 0 because both sides are undefined is x = 0.
The equation is not linear, so you cannot use the methods normally used for solving linear equations.
Answer:
x= 0.9
step-by-step explanation:
LCM=3x
use the lcm to multiply each term
3x×1/3+3x×3=3x×3/x
cancel out
x+9x=9
10x=0
divide both side by the coefficient of x
10x/10=9/10
x=0.9
12. −7.5 • −2³/4
19
Answer:
-9.5
Step-by-step explanation:
Janet weights 20 pounds more than anna if the sum of their weights is 250 lb how much does each girl weigh
Anna's weight is 115 pounds and Janet's weight is 135 pounds.
What is weight?The weight of the object is the force acting on it due to gravity in science and engineering. Weight is defined as a vector quantity in some standard textbooks, as the force of gravity acting on the object. Others define weight as just a scalar quantity, the magnitude of gravity.To find the wight of Anna and Janet:
It is assumed:
Janet is 20 pounds heavier than Anna.This means that if Anna weighs x pounds,Janet's age is then (x+20) pounds.Also,
Their combined weight is 250 pounds.So,
x+x+20 = 2502x+20=250Subtraction of both sides by 20 yields:
2x = 250-202x = 230By dividing both sides by 2, we get:
x = 115So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.
Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.
Know more about weight here:
https://brainly.com/question/2337612
#SPJ4
Dice have 6 sides, with values 1, 2, 3, 4, 5, and 6. which expression randomly rolls one dice, directly yielding one of those values?
(rand() % 6) + 1 is the expression randomly rolls one dice, directly yielding one of those values.
What is dice?Small objects (polyhedrons) used as playing pieces for dice games and other gambling-related activities. The cube, the most popular type of die, has one to six tiny dots on each side (spots). The spots are positioned in the following traditional patterns: 1 and 6, 2 and 5, 3 and 4, so that spots on opposite sides always sum up to 7. The poker and crown and anchor dice, as well as many other types of dice with 4, 5, 7, 8, 10, 12, 16, and 20 sides, are examples of dice with different configurations of spots or other face designs. The majority of the time, dice are employed to generate a random outcome (usually a number or a mixture of numbers), and the mathematical probabilities depend on the physical characteristics and quantity of dice thrown.
To learn more about the, dice visit:
https://brainly.com/question/23637540
#SPJ4
The sum of eight and half
of a number
We get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
We are given a statement:
The sum of eight and half of a number.
We have to form an expression for the same.
An expression means a combination of numbers and variables.
Let the number be a variable say x.
Now we need the half of a number.
1 / 2 of x = x / 2
Now we need the sum of 8 and x / 2.
So, it will be:
8 + x / 2
= (16 + x) / 2
Therefore, we get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
Learn more about expression here:
https://brainly.com/question/723406
#SPJ9
Match the angle with its classification
Answer:angels
Step-by-step explanation:bea
What is the graph of y = -3/4x – 2?
In the graph of y = -3/4x – 2 is represent linear equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.The graph is represent a linear equation .
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
Find the sum of all multiple 3 between 5 and 64
Answer:
690
Step-by-step explanation:
The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.
Hope this helps, have a good day! :D
Answer: ∑=690
Step-by-step explanation:
Let's use the formulas for an arithmetic progression:
[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]
Divide both parts of the equation by 3:
[tex]20=n[/tex]
Thus,
[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]
Madelyn read 45 pages in 1 1/3 hours . At what rate , in pages per hour , did she read?
Madelyn reads at the rate of 33.75 pages per hour.
Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.
Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.
Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.
Unit rate= [tex]45\div 1\frac{1}{3}[/tex]
[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]
Madelyn reads at the rate of 33.75 pages in 1 hour .
To learn more about rate or unit rate :
https://brainly.com/question/11258929
#SPJ9
Nylah and harper share £2700.harper gets twice as much money as nylah.
How much does hamper receive?
Give your answe in pounds (£)
Harper will receive £1800 as his own share of the total money
How to calculate the amount of harper that Nylah will receive ?Nylah and harper both share £2700
let x represent Nylah share
let 2x represent harper share
x + 2x= 2700
3x= 2700
divide both sides by the coefficient of x which is 3
3x/3= 2700/3
x= 900
Since harper share is 2x, let's substitute 900 for x
2(900)
= 1800
Hence harper share is £1800
Read more on share here
https://brainly.com/question/2654594
#SPJ1
Evaluate.
10/1⋅(−4)
Enter your answer in the box.
Answer:
Step-by-step explanation:
-40
A composite figure is shown.
6 ft
6 ft
6 ft
20 ft
What is the total surface area of the figure?
A. 180 sq ft
B. 60 sq ft
C. 480 sq ft
D. 720 sq ft
4 ft
The total surface area of the given figure is 720 ft² that is option (D).
The Lateral Surface Area( LSA) of an object is the area covering all the sides of the object except it top and bottom .
Let us divide the given Composite figure into three parts ,
Part(a) = top part having shape of pyramid
First we will calculate the LSA of the top pyramid.
Given that
base = 6ft
perpendicular distance = 4ft
Slant height(l) = [tex]\sqrt{(\frac{base}{2} )^{2} +(perpendicular . distance )^{2} }[/tex]
On substituting the values we get
l=√(3²+4²)
l=√25
l=5 ft
LSA of pyramid = (1/2)* perimeter of base * slant height
Substituting the values we get ;
=(1/2)*(4*6)*5
=60 ft² ....(i)
Part (b)
the 2nd part is a rectangular prism with length = 20 ft
and breadth = 6 ft
Surface area of rectangular prism = 4*Area of side
=4*20*6
=480 ft² ...(ii)
Part(c)
The last part is a cube with only 5 sides of side 6ft.
Surface Area of the cube = 5*Area of side
=5*6*6
=180 ft² ....(iii)
Total surface area of the figure= LSA of pyramid + Surface area of rectangular prism + Surface Area of the cube
Substituting the values from equation (i) , (ii) and (iii) we get ,
Total surface area of the figure = 60+480+180
=720 ft²
Therefore , the total surface area of the given figure is 720 ft².
hence option (D) 720sq ft is correct.
Learn more about Surface Area here https://brainly.com/question/12421735
#SPJ1
Pls help me im stuck
Explain why researchers formulate a null hypothesis in addition to a hypothesis when designing an experimental study.
A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.
What is the null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.
The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.
To know more about null hypothesis, visit:
https://brainly.com/question/19263925
#SPJ4
Ry+z/m-t=x. Solve for y
In linear equation, y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r} is simple form .
What is a formula for linear equations?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Ry+ z/m-t=x
Ry = x - z/m + t
[tex]y = \frac{x - \frac{z}{m}+ t }{r}[/tex]
[tex]y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r}[/tex]
Learn more about linear equations
brainly.com/question/11897796
#SPJ9
HURRY PLS!!
A company orders 22 boxed lunches from a deli for $273.90. If each boxed lunch costs the same amount, how much do 16 boxed lunches cost?
Answer:
Step-by-step explanation:
1 box costs x amount
18 boxes cos 223.20
Cross multiply
223.20 * 1 = 18 x
Divide by 18
223.20 / 18 = 18x / 18
x = 12.40
Cost of 1 box is 12.40
Answer:
It should be 199.20 for 16 boxes
Step-by-step explanation:
I divided 273.90 by 22 which came out to 12.45
so then i multiplied 12.45 by 16 and it gave me 199.20
Given m|n, find the value of x.
Answer:
127°
Step-by-step explanation:
The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.
And alternate angles has equal measures so if one is 127 then so is the other.
Therefore the value of x = 127
How many posts does it take to support a straight fence 300 feet long if a post is placed every 25 feet?
12 posts are required to support a straight fence 300 feet long if a post is placed every 25 feet.
The given question can be solved using division. We are given that 25 feet is covered by 1 post. So, we will simply find the number of posts that will cover the 300 feet long fence. Now, calculating the number of posts as shown in steps below -
Number of post that covers 25 feet = 1
So, 300 feet will be covered by number of posts = (1÷25)×300
Performing multiplication and division to find the number of posts required to cover 300 feet long fence
Number of posts required to cover 300 feet long fence = 12 posts
Hence, 12 posts are required to cover 300 feet long fence.
Learn more about problems on fence -
https://brainly.com/question/10954336
#SPJ4
5a + 2b = 40 solve for b
Answer:
5a-40=-2b
5a-40/-2=-2b/-2
-5a/2+20=b
Uber charges $3 plus $0.75 per mile driven. lyft charges $5.00 plus $.50 per mile driven. write the equations for both companies
The linear equation for both Uber and Lyft will be Y = 0.75x + 3 and
Y = 0.5x + 5 .
A linear equation is an algebraic equation of the form y = mx+b. Involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Here we have,
Uber charge $3 fix on every trip and additional charges on per mile $0.75
So, linear equation be
Y = 0.75x + 3 where, x = no. of mile covered
Similarly, lyft charge $5 fix and $0.5 as an additional
So, linear equation be
Y = 0.5x + 5 where, x = no. of mile covered
Learn more about linear equation - https://brainly.com/question/13738061?referrer=searchResults
#SPJ4
Factoring All Methods
Answer:
5(3n - 4)(3n - 10)
Step-by-step explanation:
15n² - 110n + 200 ← factor out 5 from each term
= 5(3n² - 22n + 40) ← factor the quadratic
consider the factors of the product of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 40 = 120 and sum = - 22
the factors are - 12 and - 10
use these factors to split the n- term
3n² - 12n - 10n + 40 ( factor the first/second and third/fourth terms )
3n(n - 4) - 10(n - 4) ← factor out (n - 4) from each term
(n - 4)(3n - 10)
then
15n² - 110n + 200 = 5(n - 4)(3n - 10)
Answer:
Hello,
Step-by-step explanation:
[tex]15n^2-110n+200=15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )\\[/tex]
1. I am thinking about 2 numbers with sum=22/3 and product=40/3.
Those numbers are 4 and 10/3 since 4*10/3=40/3 and 4+10/3=22/3
[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n-\dfrac{10}{3} )(n-4)=5*(3n-10)(n-4)[/tex]
2.
[tex]15(n^2-\dfrac{22}{3}x +\dfrac{40}{3} )=15(n^2-2*\dfrac{11}{3} x+(\dfrac{11}{3})^2 -\dfrac{121}{9} +\dfrac{120}{9})\\\\=15((n-\dfrac{11}{3})^2 -\dfrac{1}{9})\\\\=15( n-\dfrac{11}{3} -\dfrac{1}{3})*(n-\dfrac{11}{3} +\dfrac{1}{3})\\=15(n-\dfrac{10}{3})(n-4)\\\\=5(3n-10)(n-4)\\[/tex]
3.
Using discriminant ...
Please help with math question
Answer:
5b+35
Step-by-step explanation:
5*b=5b
5*7=35
Question 4 A woman borrowed $2,000,000.00 from bank at a rate of 15% per annum simple interest for 2 years. a) Find i) the interest for the 2 years; how much she paid in all to the after the 2 years. ii) b) She used the $2,000,000.00 to purch fridge and sold it at a profit of 45%.Find the selling price of the fridge.
Part i) Simple interest = $600,000.00.
Part ii) Selling price = $2,900,000.00.
What is defined as the simple interest?Simple interest is a simple and quick method to approximate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate by the principal multiplied by the number of days between payments.Part i) The formula for simple interest is;
SI = PRT/ 100
P = principal amount = $2,000,000.00.
R = rate of interest = 15%
T = time in years = 2 years.
Put the value in the formula;
SI = ( $2,000,000 × 2 × 15)/100
On simplification;
SI = 600,000
Thus, the simple interest at the end of 2 years is $600,000.oo
Part ii) the selling price
Selling price = cost price + profit
Selling price = cost price + 45%of cost price
Cost price = $2,000,000.00
45%of cost price = 45× $2,000,000.00/100
45%of cost price = 900,000.00
Selling price = $2,000,000.00 + 900,000.00
Selling price = $2,900,000.00.
The the selling price of the fridge is found as $2,900,000.00.
To know more about the simple interest, here
https://brainly.com/question/25793394
#SPJ9
What is Euclidian Geometry?
Answer:
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
Step-by-step explanation:
#carryonlearning
What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answer in the simplest form
Answer:
[tex]\frac{-3}{3}[/tex]
Step-by-step explanation:
So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]
The freezing point of water in degrees Celsius is 0 while in degrees Fahrenheit it is 32. The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit. Given that the function F is linear, use this information to find an equation for F
The function F to be used to convert the temperature is; F = ⁹/₅C + 32
How to Solve Algebra Word Problems?
From the given information, we can tag the coordinates as;
(32,0) and (212,100)
Thus, the slope is calculated as;
m = (100-0)/(212-32)
m = 100/180
m = 5/9
The intercept is;
c = y - mx
c = 0 - (5/9)(32)
c = 0 - 160/9
c = -160/9
The line equation is;
y = 5/9 x + (-160/9)
y = 5/9 x - 160/9
y = 5/9 (x - 32)
Let x = F and y = C and we have;
F = ⁹/₅C + 32
Read more about Algebra Word Problems at; https://brainly.com/question/13818690
#SPJ1
10. A Cube-root function with a reflection across the y-axis; a vertex of (4,0).
We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]
A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be
f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is
f(x)=-[tex]\sqrt[3]{x-4}[/tex]
Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be f(x)=[tex]-\sqrt[3]{x-4}[/tex]
Learn more about cube root function here:
https://brainly.com/question/15818396
#SPJ9
Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 5, x + z = 0
The next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
What is the meaning of parametric and non parametric?
The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn. Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.x + y + z = 5, x + z = 0
the line satisfies
x + z = 0 , y = 5
thus
x = t, y = 5 and z = -t .
the first one is technically already the symmetric equations of the line.
thus:
x = -z ; y = 5
the next set is the parametric equations of the same line .
x = t, y = 5 and z = -t .
Learn more about parametric equations
brainly.com/question/12718642
#SPJ4