Answer:
152,116,8684
Step-by-step explanation:
multiple
Answer:
152,116,868.404
Step-by-step explanation:
0.9401 x 161,809,242 = 152,116,868.404
Dani buys a juice concentrate that requires a ratio of 3 cups of water to 1 cup of concentrate. Which equation could be used to fine c, the number of cups of water that Dani should use with 6 cups of concentrate
Dani buys a juice concentrate that requires a ratio of 3 cups of water to 1 cup of concentrate.
So we can write this ratio as
\(\frac{1}{3}\)Now let c denotes the number of cups of water.
So we need to find c that is used for 6 cups of concentrate.
Again, we can write this ratio as
\(\frac{6}{c}\)Now let us equate them together,
\(\frac{1}{3}=\frac{6}{c}\)If we perform the cross multiplication then
\(\begin{gathered} c\times1=6\times3 \\ c=6\times3 \\ c=18 \end{gathered}\)Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?
Answer:
His unit rate per month is 25 dollars
Step-by-step explanation:
Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.
Which expression is equivalent to (-36) - 128b ? *
Answer:
-36-128b
Step-by-step explanation:
Simply take -36 out of the parentheses to get -36-128b.
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
To learn more about differential equations refer to:
brainly.com/question/1164377
#SPJ4
The function (x)-47x
represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 15 minutes?
Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.
What is a Function?A function models the relationship between an input value and its corresponding output value.
Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:
j(15) = 47(15)
j(15) = 705
Number of jumping jack in 15 minutes is: 705.
Learn more about a function on:
https://brainly.com/question/10439235
#SPJ1
Find
152.87+35.4
. Express your answer in decimal form.
what a subcategory of a polygon
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
Learn more about polygon on
https://brainly.com/question/1592456
#SPJ1
Complete question
How can polygons be considered a subcategory of two-dimensional figures?
The area of the rectangle is 70 yd2? What is the length of side
y?
yards
Answer:
7 yds
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = 10*y
Divide each side by 10
70/10 = 10y/10
7 = y
Answer:
7
Step-by-step explanation:
To find Area is Length x Width
The Length is 10 and the Area is 70
70= 10x
Divide both sides by 10
70/19=7
Help please!!!!!!!!!!!!!!!!!!!!
Answer:
f(-2)= -2
f(-0.75)= -1
f(1)= 1
Which relation is a function of x?
1 {(1,2), (7, 6), (3, 2), (1, 0), (5, 6)}.
3. x=3y²–7
9514 1404 393
Answer:
The given graph shows a function of x.
Step-by-step explanation:
Neither 1 nor 3 is a single-valued relation for some values of x. The graph shown passes the vertical line test, so does represent a function.
The graph is a relation that is a function of x.
___
The attached graph is of the equation of 3. A vertical line will intersect the graph in more than one place, so the relation is NOT a function.
Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is \(\sqrt{3}x\)
Length of the hypotenuse is 2x.
We know x = 7
So, \(\sqrt{3}(x)=\sqrt{3}(7)\)
Thus, the length of the longer leg is \(\sqrt{3}(7)\) m
Length of hypotenuse = 2x = 2(7) = 14m
\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)
Taking square root on both sides:
\(2x = \sqrt{196}\)
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
Learn more about Triangle at:
https://brainly.com/question/2773823
#SPJ1
URGENT!!
Samuel wants to deposit $4,000 and keep that money in the bank without deposits or withdrawals for three years. He compares two different options. Option 1 will pay 1.8%, compounded quarterly. Option 2 will pay 1.5% interest, compounded continuously.
a) How much does option 1 pay?
b) How much does option 2 pay?
Answer:
First option pays $480.60 in interest and the second option pays $442.84 in interest
Step-by-step explanation:
Combine all of the like terms: 10X + 4Y + X + 10
Answer:
11x + 4y +10
Step-by-step explanation:
you can only combine terms with the same variable. X = 1 , so 10X + X = 11X
then 4y and 10 stays the same
Step-by-step explanation:
The like terms are 2 terms that have the same variable, or whole numbers.
Like terms;
10x and x.
Combine both of the like terms:
\(\boxed{11x+4y+10}\)
Why is the angle of elevation for two parasailing boats traveling at the same speed
The angle of elevation for two parasailing boats traveling at the same speed is equal because they have the same length of tow line.
What is parasailing?Parasailing is also referred to as parascending and it can be defined as a recreational activity which involves a person wearing an open parachute (canopy wing) and gliding through the air, while being towed by a boat.
By critically observing the image shown below, we can infer and logically deduce that the reason why the angle of elevation for two parasailing boats traveling at the same speed is equal, is simply because they have the same length of tow line.
Read more on parasailing here: https://brainly.com/question/11450151
#SPJ1
Complete Question:
Why is the angle of elevation for two parasailing boats traveling at the same speed equal?
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
What is the answer to this combination lock
Answer: 375
Step-by-step explanation:
Ruling out each number:
6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.
3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.
2 & 4 & 8: Is proven wrong in the 4th clue.
7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.
1: Is proven wrong after 7 is proven true.
Figuring out placement:
5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.
3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.
7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.
what is the negative square root of 81/49 in fraction form
Answer:
-9/7.
Step-by-step explanation:
√81 = 9 and √49 = 7
but we need the negative square root
which is -9/7.
Please help, This is urgent 7th-grade math.
There was 2/3 of a pan of lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence and draw a model to represent the problem. How much of the pan did they eat?
Explanations/Answers, please!
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
1 and 3/8 as the Sum of two fractions answer is
Answer:
Step-by-step explanation:
45
50 Points! Multiple choice algebra question. Photo attached. Thank you!
It would take 21 weeks for the population to surpass 16,000.
The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.
For the population to surpass 16,000, we can set up the following equation:
15,000 + 2500 sin(πt/52) = 16,000
Subtracting 15,000 from both sides, we get:
2500 sin(πt/52) = 1000
Dividing both sides by 2500, we get:
sin(πt/52) = 0.4
We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:
πt/52 = sin⁻¹(0.4)
Multiplying both sides by 52/π, we get:
t = (52/π) sin⁻¹(0.4)
Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.
t = (52/π) (0.4115)
t = 21.02
Therefore, it would take 21 weeks for the population to surpass 16,000.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ1
simplify the following expression 4(3z+9)-(5z+7)
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Simplify the expression ⇨ 4(3z+9)-(5z+7)\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\(4 \sf \left( 3z+9 \right) -(5z+7)\)
Use the distributive property to multiply 4 by 3z+9.
\( \sf12z+36-\left(5z+7\right) \)
Remove the brackets of 5z + 7 & put the subtraction symbol (minus) accordingly.
\( \sf12z+36-5z-7 \)
Combine 12z and -5z to get 7z.
\( \sf7z+36-7 \)
Subtract 7 from 36 to get 29.
\( \boxed{ \boxed{\bf7z+29 }}\)
Hey there!
4 (3z + 9) - (5z + 7)
= 12z + 36 - 5z - 7
= 12z - 5z + 36 - 7
= 7z + 29
Hope it helps ya!
five people arrived at the check _ out counter of a hotel at the same time, in how many different ways can the people line up?
There are 120 different ways the people can line up
How to determine the number of ways?The number of people that arrived is:
n = 5
Take the factorial to calculate the number of ways they can line up
n! = 5!
Expand
n! = 5* 4 * 3 * 2 * 1
Evaluate
n! = 120
Hence, there are 120 different ways the people can line up
Read more about permutation at:
https://brainly.com/question/11732255
#SPJ1
HELP!
Tell wether the angles are adjacent, vertical, or neither.
Answer:
Hello, i cant see the link, try reposting
Step-by-step explanation:
Are you really in college?
Because I learned that in 7th grade.
(just wondering)
Answer:
Sa ml may matutunan ka
Help ASAP! Look at picture
Answer:
c i think
Step-by-step explanation:
i calculated it so
8x + 3 + 8x help me help me help me help me help me
Answer: 16x + 3
Step-by-step explanation:
Collect your liked terms
(8x + 8x) +3
= 16x + 3
\(\huge\red{\mid{\underline{\overline{\textbf{EQUATION AND ANSWER}}}\mid}}\)
_________________
Let's solve this equation using simple algebra,
_________________DefinitionsAlgebra - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics
Like Terms - In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is power.
_________________
Now that we understand the definition we can further solve this equation
\(\large\red{\mid{\underline{\overline{\textbf{Values}}}\mid}}\)
\(8x\)\(3\)\(8x\\\)________________
Like Terms:\(8x,8x\)\(3\\\)Now we will add to solve this equation
\(\large\red{\mid{\underline{\overline{\textbf{Equtation}}}\mid}}\)
\(8x+3+8x\)
-Use simple addition
\(16x+3\)
\(\large\red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}\)
8x + 3 + 8xThe answer is \(16x+3\)
Have a good day!plsss answer ASAP i really need this fast
Answer:
650
Step-by-step explanation:
13 into 70 goes 5 times.
5×13=65
13 into 2 goes 0 times.
0×13=0
.•. answer is 650
Answer:702
Step-by-step explanation:
The answer is 254.You see how many time 702 goes into 13 and its 54 .We already have the 50 so there is the 4.
Create an equation of a line that is parallel to y=20x-47
How could Marc mathematically try to prove that he hit the ball near the top of the tower?While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is h(x) = -16xsquared + 120x , where h is the height of the ball and x is the number of seconds the ball is in the air. How could Marc mathematically try to prove that he hit the ball near the top of the tower?While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is h(x) = -16xsquared + 120x , where h is the height of the ball and x is the number of seconds the ball is in the air. How could Marc mathematically try to prove that he hit the ball near the top of the tower?
Answer:
To mathematically prove that Marc hit the ball near the top of the tower, he could use the equation h(x) = -16x^2 + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air.
First, Marc would need to determine the maximum height the ball reached during its flight. This can be found by using the vertex formula, which is x = -b/2a. In this case, a = -16 and b = 120, so x = -120/(2*-16) = 3.75 seconds.
Next, Marc can substitute this value back into the original equation to find the maximum height the ball reached. h(3.75) = -16(3.75)^2 + 120(3.75) = 135 feet.
Since the tower is 300 feet tall, Marc could conclude that if the ball hit near the top of the tower, it would have reached a height close to 300 feet. Since the ball reached a maximum height of 135 feet, it is unlikely that it hit the top of the tower.
However, this calculation assumes that the tower is directly in line with Marc's shot and that the ball did not have any horizontal movement. In reality, the tower could have been to the left or right of the shot, and the ball could have had some horizontal movement, which would affect its height at impact. Therefore, this calculation can only provide a rough estimate and cannot definitively prove whether or not the ball hit near the top of the tower.
Sort the polynomials according to whether they are prime or non-prime.
Prime Polynomials
6x³-5x²+2x-14
12-18+8²-12
6x² +9x2 +10x+15
12x²-3x+4x+7
Non-Prime Polynomials
Answer: first, second and fourth are primes, the third is not-prime.
Hope it helps :)