Forty two billion, three hundred and seven million, one hundred and Two thousand, three hundred and fourteen in number. Please help me
Answer:
42,307,0102,014 is the number form
Please help with problem 8
Answer:
The correct answer is A.
Factor each expression.
x²+x-6
After solving, the factors of equation x²+x-6 are:
(x-2) and (x+3)What is an equation, clearly?A mathematical statement made up of two characterizations joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation.We get the value for the variable x as x = 7 after solving this equation.So,
Given the equation: x²+x-6
Then,
x²+x-6x²+x( - )-6x²+x(3-2)-6x²+3x-2x-6x(x+3)-2(x+3)Factors are: (x+3) and (x-2)
Therefore, after solving, the factors of equation x²+x-6 are:
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Scarlett made a scaled copy of the following quadrilateral. She used a scale factor greater than 1.
A
B
C
D
What could be the length of the side that corresponds with AD on the scaled copy of the
quadrilateral?
Answer:
Step-by-step explanation:
First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.
So the answer must be 12 or 15 from those answers given.
Solve each equation for θ with 0 ≤ θ <2 π.
cotθ=-10
Answer:
0 with 0 2 pi cot0=-10 am not sure what It is
Find the midpoint of the segment with the following endpoints.
(9, 6) and (5, 2)
The midpoint of the segment is (7, 4).
According to the section formula-
If a point (x , y) divides a line in the ratio of m : n, where the two endpoints of the line are (x1, y1) and (x2, y2), then-
x = (nx1 + mx2)/ (m + n)
and y = (ny1 + my2)/ (m + n)
Here, we are given two points- (9, 6) and (5, 2)
Therefore,
x1 = 9, y1 = 6
x2 = 5, y2 = 2
Since, midpoint divides a line segment into two equal halves, m : n = 1 : 1
Now, substituting the values in the section formula we get-
x = (9 + 5)/2
x = 14/2
x = 7
and y = (6 + 2)/2
y = 8/2
y = 4
Thus, the midpoint of the segment is (7, 4).
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When would an ordinary annuity consisting of quarterly pay- ments of $500 at 6% compounded quarterly be worth more than a principal of $5,000 invested at 4% simple interest?
Firstly we will convert the percent R into a decimal value r. For that, we will divide with a hundred,
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n) ^ nt
A = 500.00(1 + 0.06/12) ^ (12 x 10)
A = 500.00(1 + 0.005)^ 120
A = $909.70
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 6% per year compounded 12 times per year over ten years, is $909.70.
I = A - P = $2,000.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 5000(1 + (0.04 × 10)) = 7000
A = $7,000.00
The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 4% per year for ten years is $7,000.00.
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I need this answered please
Answer: 1. x-8
2. x/8
3. x squared
4. 4x
When they say "a number" that just means "x".
A recipe requires 3/4 cups if milk.Paula is making 1/2 of the recipe .How many cups of Milk will Paula use?
The answer to this question is:
No. of cups of milk will Paula use = 3/8
Given that recipe requires 3/4 cups of milk.
Paula is making half (1/2) of the recipe.
And we are asked to find that No. of cups of milk will Paula use.
To solve this question, we have to multiply the quantity of milk required by the quantity she is going to make.
The quantity of milk required * the quantity she is going to make
= 3/4 * 1/2
= 3/8
Therefore, No. of cups of milk will Paula use = 3/8
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(-3 1/3 n +1/6) + (1 3/6n - 3/12 )
- 2/6n-1/12
-29/6 n + 1/12
-11/6n - 1/12
- 11/6n+5/12
(-3 1/4d +3/5) -2 7/8 d +7 /10
Answer:
[tex]\frac{4080n+1585d-188}{240}[/tex]
Step-by-step explanation:
I simplified it to the best possible state
what is the change in temperature between 24 Celsius and 15 Celsius
Answer:
It got colder by 9 degrees
Step-by-step explanation:
9)
Find the length of
the hypotenuse of
the right triangle.
6 ft
6 ft
The hypotenuse of the right triangle is found to be 6√2 ft.
What is defined as the Pythagorean theorem?A right triangle contains a single 90 angle within it, which is known as a right angle.The hypotenuse is really the side straight from the right angle in a right triangle. It is the only side of a triangle that does not form a right angle.The Pythagorean Theorem describes the relationship between the sides of a right triangle, where c represents the hypotenuse and a and b represent the sides that form the right angle.The formula is as follows:
H² = B² + P²
where, H is the hypotenuse.
B is the base
P is the perpendicular.
In the given question, hypotenuse is to be calculated.
Lets, base B = 6 ft and
Perpendicular P = 6 ft.
Thus, put the values in the formula;
H² = 6² + 6²
H² = 2×6²
Taking square root on both sides.
H = 6√2
Thus, the value of the hypotenuse if the right angled triangle is found as 6√2 ft.
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Choose all properties that were used to simplify the following problem:
[38 + 677] + (-38)
[677 + 38] + (-38)
677 + [38 + (-38)]
677 + 0
677
A.associative property of addition
B.distributive property
C.additive inverse
D.additive identity
E.commutative property of addition
The properties used to simplify the problem are associative property of addition, additive inverse, and additive identity.
Consider the given problem;
( 38 + 677 ) + ( - 38 )
The associative properties can be represented as:
( A + B ) + C = A + ( B + C )
Now, we need to check all the options to determine the properties used:
( 38 + 677 ) + ( - 38 ) = 38 + ( 677 - 38 )
( A + B ) + C = A + ( B + C )
Therefore, this is the associative property.
Now,
677 + 0 = 677
A + 0 = A
Thus, this is the additive identity.
Similarly,
677 + [ 38 + ( -38 ) ]
Here, 38 + ( -3 8 ) represents,
A + ( - A ) = 0.
Therefore, this is the additive inverse.
Thus, the properties used to simplify the problem are the associative property of addition, additive identity, and additive inverse properties.
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Find all solutions to 8x³-10x² - 21x + 18 = 0 if x= 2 is one solution.
According to the given cubic equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.
How does one solve a three-degree equation?Traditionally, a cubic problem can be solved by converting it to a quadratic equation and then solving it using factoring or the quadratic formula. A cubic equation, like a quadratic equation, has three roots.
What is the simplest method for solving a cubic equation?The typical strategy for solving a cubic problem is to convert it to a quadratic equation and then solve the quadratic using the standard methods, either factoring or using the formula. All of them are cubic equations. A cubic equation, like a quadratic equation, may have two or three real roots.
According to the given data:8x³-10x² - 21x + 18 = 0
x= 2
substituting the value in the equation we get:
8x³-10x² - 21x + 18 = 0
8(2)³-10(2)² - 21(2) + 18 = 0
68 - 40 - 42 + 18 = 0
4 = 0
According to the given equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.
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Duo makes 65 percent of his dumplings with vegetarian fillings.
What fraction of Duo's dumplings have vegetarian fillings?
The fraction 13/20 of Duo's dumplings have vegetarian fillings.
What is fraction?
A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
Duo makes 65 percent of his dumplings with vegetarian fillings.
According to given question we have
A percentage is a number or ratio expressed as a fraction of 100.
65 percent
=65 %
=65/100
Simplify fraction into simpler fraction,
⇒13/20
Therefore, the fraction 13/20 of Duo's dumplings have vegetarian fillings.
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Steve is going to prom with a group of friends. steve's group of friends decide to rent a limo. a local company is willing to rent a limo for $130 an hour. the limo can hold up to six people. steve and his five friends decide to split the cost of the limo evenly. if they rent the limo for four hours, how much will steve and his friends expect to pay? (round up to the nearest dollar amount)
$ 86.67 , Steve and his five friends has to pay $86.67 each to rent limo for four hours.
According to the question,
rent of limo for five hours = $130
now by multiplication ,
rent of limo for four hours = $130 * 4
= $520
now we know that there are six people including Steve hence we divide this $520 by 6 to get the share of each individual,
by division ,
hence the amount for each = $520 / 6
= 86.666666
amount round up to the nearest dollar is $86.67
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Given the expression -7x -1/6y +2z - xy+28 answer the questions below
A. how many terms are there? How did u find them
B. how many different variables are there list all of them.
C. what is the coefficient of the 4th term.
Answer:
A. 5 || how? uh counting; -7x -1/6y +2z -xy +28
B. 3 (2;x | 2;y | 1;z)
C. 28
Hope this helps!
--Blu
A cargo plane flew to the maintenance facility and back. It took one hour less time
The time it took to fly through ah fro is 21 hours
x=21 hrs
This is further explained below.
How many hours did the trip take?Generally, A cargo aircraft traveled to the repair facility and returned again, and the flight there took an hour less of its total time than the flight back did.
The voyage there had an average speed of 220 miles per hour, whereas the return back had an average speed of 200 miles per hour. I was wondering how many hours the journey took.
Generally, the equation for the distance is mathematically given as
Dist = speed * time
Therefore
Dist to = dist back
220t = 200(t+1)
220t = 200t + 200
220t - 200 = 200
20t = 200
t = 200/20
t = 10 hrs to
Considering for hours back
10 + 1 = 11 hrs back
Total hrs: 10 + 11 = 21 hrs for the round trip
In conclusion, The trip took
21 hrs
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CQ
a cargo plane flew to the maintenance facility and back it took one hour less time to get there than it did to get back. the average speed on the trip there was 220mph the average speed on the way back was 200mph how many hours did the trip take
The vertices of a quadrilateral are A(−5, 3), B(2, 2), C(4,−3), and D(−2,−2). Find the slope of each side.
The sole of AB = 1/7, BC = -5/2, CD= -1/6, DA= -5/3
Here we have to find the slope of the side of the quadrilateral
The formula of the slope between A(x1, y1), B (x2, y2)
slope = (y2 - y1)/( x2- x1)
Slope of AB , where A = (-5, 3), B = (2,2)
AB = (2-3)/ ( 3- (-5))
= 1/ 8
Slope of BC, where B= (2,2 ), C = (4, -3)
BC = (-3 -2)/ (4-2)
= -5/2
Slope of CD, where C= (4,-3), D=(-2,-2)
CD = (-2-(-3))/ (-2-4)
= 1/ (-6)
=-1/6
Slope of DA , where D=(-2,-2), A=(-5,3)
DA= (3-(-2))/(-5-(-2))
= (3+2)/(-5+2)
= 5/-3
=-5/3
Therefore the slope of AB, BC, CD, DA = 1/7, -5/2, -1/6, -5/3 respectively.
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A fire is steadily burning at a temperature of 600 degrees F. If the fire is no longer maintained, the temperature drops 20 F every half hour. After how many hours will the fire be out?
When the fire is steadily burning at a temperature of 600 degrees, the number of hours needed to run out is 30 hours.
How to illustrate the information?From the information, the fire is steadily burning at a temperature of 600 degrees F and t was stated that the fire is no longer maintained, the temperature drops 20 F every half hour.
Therefore, the appropriate expression to solve the information will be:
Let the number if hours be h
600 - (20 × h) = 0
600 - 20h = 0
20h = 600
Divide
h = 600 / 20
h = 30
Therefore, when the fire is steadily burning at a temperature of 600 degrees, the number of hours needed to run out is 30 hours.
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I would really appreciate some help. I am confused with this problem..it says Solve for
Translate each of the following verbal descriptions into an algebraic rule.The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p.
The algebraic expression which correctly represents the verbal description; The total cost of the order, t, is 11 dollars multiplied by the number of pizzas ordered, p is; t = 11p.
Which algebraic expression correctly represents the verbal description as in the task content?It follows from the task content that the expression which correctly represents the verbal description be determined.
On this note, since total cost is; t and the number of pizzas ordered is; p.
The required expression is therefore;
t = 11 × p
t = 11p.
Ultimately, the verbal representation of the algebraic expression where total cost of the order, t, is 11 dollars and number of pizzas ordered, is p is given by t = 11p.
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2x² + 5x-11
+3x² -11x +2
please solve thankyou!!
Answer:
5x^2 - 6x -9
Step-by-step explanation:
an oil tank is being filled at a constant rate of .2 feet per minute. After 15 minutes the tank is 6 feet deep. Write an equation that can be used to determine the amount of oil in the tank at any time.
The equation that represent amount of oil in the tank at x minutes is
6- 0.2t
What is an equation?A mathematical statement that shows that two mathematical expressions are equal.
Given:
rate of filling the tank = 0.2 feet/ minute
After 15 minutes,
height = 6 feet
let the time take be x minutes
So, the equation that represent amount of oil in the tank at x minutes.
=6- 0.2t
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i need help on this 4−d<4+d
For all the values of 'd' the expression 4-d will be less than 4+d.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that 4−d < 4+d. The inequality expression will be solved as:-
4−d < 4+d
4 - 1 < 4 + 1
3 < 5
4 - 2 < 4 + 2
2 < 6
It is concluded that for all the values of d in the given expression the portion 4 - d will be less than 4 + d.
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diary entry on 180 word about a sick friend 3 entrys
Solve each equation.
ln (x+2)- ln 4=3
After solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].
What exactly is an equation?An equation is a mathematical statement made up of two expressions joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value of the variable x as x = 7.So,
Given equation: ln(x+2)-ln4=3Then,
ln(x+2)-ln4 = 3log(e)(x+2)-In4 = 3log(e)(x+2)-4In = 3[tex]x=e^{4 \ln +3}-2[/tex]Therefore, after solving the given equation ln(x+2)-ln4=3, the value of [tex]x=e^{4 \ln +3}-2[/tex].
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Find the inverse of each function.
y=log (x-6)
The inverse of the function y = log(x ₋ 6) is y = 10ˣ + 6.
Given the function is :y = log₁₀ (x ₋ 6)
we are asked to find the inverse of the function.
steps to find inverse function are:
Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.To get x = ay + b from the equation y = ax + b, replace x with y and y with x.
Here, find y and solve for x = ay + b.
Then we get :
y = (x - b/a).
Finally, we can substitute y = f⁻¹(x) with f⁻¹(x) = (x - b)/a.
now interchange the positions of x and y in the function.x = log₁₀(y ₋ 6)
the next step is to isolate the dependent variables.
y = 10ˣ + 6
hence we get the inverse of the function y = log₁₀ (x ₋ 6) as y = 10ˣ + 6.
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ojos del salado is the highest mountain in chile, with a peak at about 6900 meters above sea level. The atacama trench, just off th coast of peru and chile,is about 8100 meters below sea level (at its lowest point.) What is the difference in elevations between Mount Ojos del salado and the atacama trench.
The difference in elevations between Mount Ojos del salado and the atacama trench is 15000 meters
From the question, we are to calculate the difference in elevations between Mount Ojos del salado and the atacama trench
From the given information,
"Ojos del salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level"
and
"The atacama trench, just off the coast of Peru and Chile, is about 8100 meters below sea level"
Thus,
With respect to the sea level,
The elevation of Mount Ojos del salado is 6900 meters
and
The elevation of the atacama trench is -8100 meters
Then,
The difference in elevation between Mount Ojos del salado and the atacama trench is 6900 - (-8100) meters
6900 - (-8100)
= 6900 + 8100
= 15000 meters
Hence, the difference in elevations between Mount Ojos del salado and the atacama trench is 15000 meters
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What is the value of x+26
The value of x can not be told as there is no answer to the question "x+26".
Hence, can not be solved and it is left as 'x+26'