Using long division convert 1/4 to a decimal
To convert a fraction into a decimal, we'll just divide the numerator by the denominator:
4√1
we'll divide 1 by 4.
1 divided by 4 equals 0
0
4√1
To keep dividing, we'll add a decimal point and a zero after the 1, we'll also add a decimal point after the 0 on top
0.
4√1.0
Now we can divide 10 by 4, 10 divided by 4 equals 2.
0.2
4√1.0
Now we'll multiply 4 by 2, 4 times 2 equals 8. So we'll subtract 8 from 10.
0.2
4√1.0
-8
______
2
Since 2 is greater than 0, we're not finished dividing yet. We'll add another 0 after the decimal point and bring it down.
0.2
4√1.00
-8
________
20
20 divided by 4 equals 5.
0.25
4√1.00
-8
______
20
Now we'll multiply. 4 times 5 equals 20. When we subtract 20 from 20, we get 0. The 0 means we're done dividing.
0.25
4√1.00
-8
______
20
20
________
0
So 1/4 is equal to 0.25.
If £2000 was put into a bank acount that pays 3% compound intrest per year, how much will be in the account after 2 years
Answer:
After 2 years, there will be £ 2,121.80 in the account.
Step-by-step explanation:
Since £ 2000 was put into a bank account that pays 3% compound intrest per year, to determine how much will be in the account after 2 years the following calculation must be performed:
2000 x (1 + 0.03 / 1) ^ 1x2 = X
2000 x 1.03 ^ 2 = X
2,121.8 = X
Therefore, after 2 years, there will be £ 2,121.80 in the account.
Need help with this question, will give brainliest
Answer:
1/2
Step-by-step explanation:
So lets go over what slope is.
The formula for slope is y/x
To find this, we can just count the change in y, and put it over x.
So lets see.
On the graph, we can count that y goes up by one, and that x goes to the right by 2.
So this means our slope is y/x, or 1/2.
This is our answer.
I hope this helps! :)
I included a visual of this as well!
HELP PLEASE THIS IS A TEST SO PLEASE DO TGE CORRECT ANSWERS! NO LINKS
Answer:
B. (1,4)
Step-by-step explanation:
you see the x and y coordinate by looking at the numbers (x,y) = (1,4)
OPEN ENDED NOT MULTIPLE CHOICE
Some recent studies suggest that a teenager sends an average of 60 texts per day. For each of
the following scenarios, find the linear function that describes the relationship between the input
value and the output value. Then, determine whether the graph of the function is increasing,
decreasing, or constant.
a. The total number of texts a teen sends is considered a function of time in days. The input is
the number of days, and output is the total number of texts sent.
b. A teen has a limit of 500 texts per month in his or her data plan. The input is the number of
days, and output is the total number of texts remaining for the month.
c. A teen has an unlimited number of texts in his or her data plan for a cost of $50 per month.
The input is the number of days, and output is the total cost of texting each month
Is 2025 a perfect square Yes or no?
EXPLANATION
2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of x satisfies this equation?
1.5(4)25
= 12
Round your answer to the nearest hundredth.
The value of x is
Answer:
0.75
Step-by-step explanation:
plato
The value of x for the equation is,
⇒ x = 3/4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ 1.5 (4)²ˣ = 12
Now, We can solve for x as;
⇒ 1.5 (4)²ˣ = 12
Divide by 1.5;
⇒ (4)²ˣ = 12/1.5
⇒ (4)²ˣ = 8
⇒ (2)⁴ˣ = 2³
By comparing we get;
⇒ 4x = 3
⇒ x = 3/4
Thus, The value of x for the equation is,
⇒ x = 3/4
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
circle c shown below was dilated with the origin as the center of dilation to create circle C' which rule represents the transformation?
Answer:
A. (x, y) → (2/7x, 2/7y)Step-by-step explanation:
Equation of the smaller circle:
x² + y² = 2²Equation of the greater circle:
x² + y² = 7²The scale factor is the ratio of radiuses:
k = r₁ / r₂ = 2/7So the rule is:
(x, y) → (kx, ky) = (2/7x, 2/7y)Correct choice is A
Answer:
[tex]\sf A. \quad (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]
Step-by-step explanation:
The distance from the center of the circle to any point on the circumference is the radius.
From inspection of the given graph:
Radius of Circle C (before dilation) = 2 unitsRadius of Circle C' (after dilation) = 7 unitsTo find the scale factor of the dilation from the small circle C to the large circle C', divide the radius of the large circle by the radius of the small circle.
Therefore, the dilation is an enlargement of scale factor ⁷/₂ about the origin.
So the rule that represents the transformation is:
[tex]\sf (x, y) \rightarrow \left(\dfrac{7}{2}x, \dfrac{7}{2}y \right)[/tex]
Check (see attached):
Point (0, 2) is on circle C.
[tex]\implies \sf (0, 2) \rightarrow \left(\dfrac{7}{2}(0), \dfrac{7}{2}(2) \right)=(0,7)[/tex]
Point (1, √3) is on Circle C:
[tex]\implies \sf (1, \sqrt{3}) \rightarrow \left(\dfrac{7}{2}(1), \dfrac{7}{2}(\sqrt{3}) \right)=\left(3.5,6.06)[/tex]
does the order of the quantities in an inequality matter
Yes, the order of the quantities in an inequality matters, and examples are given to show why.
Why does the order of the symbols matter in an inequality?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.It is known that the number 5 is greater than the number 3, hence the inequality that describes these numbers is given as follows:
5 > 3.
However, if we tried to apply the commutative property, that is, changing the order of the numbers, we would have that:
3 > 5.
Which is a false statement, as the number 3 is less than the number 5, and not more.
This shows that the order of the symbols in an inequality in fact does matter.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
Deion has a toy car collection of 360 toy cars. He keeps 85% of the toy cars on his wall. How many toy cars does he keep on his wall?
Answer:
306 toy cars
Step-by-step explanation:
since he has a total of 360 toy cars, and he keeps 85% on the wall, to find how many toy cars he keeps on his wall we have to find 85% of 360:
360*0.85=306
therefore, he keeps 306 toy cars on his wall
The number of toy cars does that Deion keeps on his wall is 306 cars.
Number of cars = 360
Percentage of the toy cars on his wall = 85%
Then, the number of toy cars that is kept in his wall will be:
= 85% × 360
= 0.85 × 360
= 306
In conclusion, 306 toy cars are kept on the wall.
Read related link on:
https://brainly.com/question/24429956
Calculate the correct answer.
17x - 3 = 48
Answer: x = 3
Step-by-step explanation:
Simplifying
17x + -3 = 48
Reorder the terms:
-3 + 17x = 48
Solving
-3 + 17x = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 17x = 48 + 3
Combine like terms: -3 + 3 = 0
0 + 17x = 48 + 3
17x = 48 + 3
Combine like terms: 48 + 3 = 51
17x = 51
Divide each side by '17'.
x = 3
Simplifying
x = 3
Find the derivative of the function. y = arctan √[(1 − x) /(1 + x)]
y' = ?
and
Find the derivative of the function. y = 3tan−1 [x − √(1 + x^2)]
y' = ?
The derivative function for equations 1 and 2 will be
y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively
Here we need to find the derivative of
[tex]y = tan^{-1}\sqrt{\frac{1-x}{1+x} }[/tex]
Let x = cos2z
Hence we get
[tex]y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }[/tex]
[tex]or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }[/tex]
[tex]or, y = tan^{-1}(tanz)[/tex]
or, y = z
Hence dy/dx = dz/dx
We know that
x = cos2z
or, 2z = cos⁻¹x
or, 2 dz/dx = -1/√(1-x²)
Hence dy/dx = -1/ [2√(1-x²)]
The second equation is
[tex]y = 3tan^{-1}[x-\sqrt{1+x^{2}} ][/tex]
Let x = cotz
Hence we get
[tex]y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ][/tex]
[tex]y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ][/tex]
or, y = 3tan⁻¹ [cotz - cosecz]
or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]
or, y = 3tan⁻¹ [(cosz - 1)/sinz]
or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]
or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]
or, y = 3tan⁻¹ [-tan{z/2)]
or, y = 3tan⁻¹ [tan{-z/2)]
or, y = -3z/2
or, dy/dz = -3/2 dz/dx
We have
x = cotz
or, z = cot⁻¹z
or, dz/dx = -1/(1 + x²)
Hence we get
dy/dx = 3/[2(1 + x²)]
To learn more about differentiation visit
https://brainly.com/question/27986235
#SPJ4
Find the equation of the line that goes through ( 0, 2 ) and ( 3, 4 ).
Select one:
a.
2x + y - 3 = 0
b.
- 2x + 3y - 6 = 0
c.
x + y - 2 = 0
d.
2x + 3y + 6 = 0
Answer:
Option b. -2x + 3y - 6 = 0
Step-by-step explanation:
Let's look for a linear equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate the slope first. Slope is the Rise/Run of any two points on a straight line. Using the given points, (0,2) and (3,4) we find:
Rise = 4 - 2 = 2
Run = 3 - 0 = 3
Slope, m, Rise/Run = (2/3)
The equation becomes y = (2/3)x + b
To find b, enter either of the two given points.
y = (2/3)x + b
2 = (2/3)(0) + b : for point (0,2)
b = 2
The equation becomes: y = (2/3)x + 2
Reformat this to match the format of the answer options.
y = (2/3)x + 2
3y = 2x + 6 [Multiplied by 3]
3y - 2x - 6 = 0
-2x + 3y - 6 = 0 [rearrange]
This matches option b.
Pressure =
force/area
A force of 70 newtons acts on an area of 20 cm?
berabils HBO
The force is increased by 10 newtons,
The area is increased by 10 cm?
Helen says,
"The pressure decreases by less than 20%"
Is Helen correct?
You must show how you get your answer.
Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
Pressure = force/area
The initial pressure is 70 N / 0.2 m^2 = 350 Pa (Pascals). If the force is increased by 10 N and the area is increased by 10 cm^2, the new pressure is 80 N / 0.3 m^2 = 266.67 Pa
The difference in pressure between the initial and final states is 83.33 Pa (350 Pa - 266.67 Pa)To calculate the percentage change in pressure, we divide the change in pressure by the initial pressure and multiply by 100:
(83.33 Pa / 350 Pa) * 100% = 23.8%So Helen is not correct. The pressure decreases by 23.8% and not less than 20%.
Learn more about Force here:
https://brainly.com/question/25239010
#SPJ4
I NEED HELPPP ASAPP PLEASE AND THANKYOU
Answer:
Using substitution method
x= 2
y= 1
Why can the sine ratio never be greater than 1?
Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.
What is sine and cosine?Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.
Learn more about sine and cosine
https://brainly.com/question/13813821
#SPJ4
Phyllis invested $10,500, a portion earning a simple interest rate of
3 1/2% per year and the rest earning a rate of 3% per year. After one year the total interest earned on these investments was $352. 50. How much money did she invest at each rate?
Please answer ASAP
The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.
As given in the question,
Total amount with Phyllis is equal to $10,500
Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate
Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year
Total interest earned by the investment = $352.50
0.035x + 0.03( 10,500 - x ) = $352.50
⇒0.035x + 315 - 0.03x = 352.50
⇒0.005x = 352.50 - 315
⇒0.005x = 37.5
⇒x = $7500
and $( 10,500 - x ) = $( 10,500 - 7500 )
= $ 3,000
Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.
Learn more about simple interest rate here
brainly.com/question/7279636
#SPJ4
(x + 7 ) + 3y help me please
Answer:
x+7+3y
Step-by-step explanation:
You just remove the parentheses in this case since you don't have to change any of the operations.
Answer:
Step-by-step explanation:
x+7+3y simplifed
answer please no links
Answer:
x = 65
Step-by-step explanation:
180 - 115 = x
x = 65
Have a nice day!
Which direction is XYZ?
The directions of XYZ in graph are left and right, top and bottom and outward from the screen respectively.
The term graph is known as a pictorial representation or a diagram that represents data or values in an organized manner.
Here we have to find the directions of XYZ on the graph.
Here we have know that X-Y-Z matrix is a three-dimensional structure whereby the x-axis and y-axis denote the first two dimensions and the z-axis is the third dimension.
And then in a graphic image, then the x denotes width, y denotes height and the z represents depth.
The directions of the x axis is in the plane of the screen and is positive toward the right and negative toward the left. Where as the directions of the y axis is in the plane of the screen and is positive toward the top and negative toward the bottom.
Finally the directions of the z axis is perpendicular to the screen or keyboard, and is positive extending outward from the screen.
To know more about graph here,
https://brainly.com/question/17267403
#SPJ4
Discover the value of each of the shapes. The total weight is 48
In the figure shown, EF is tangent to the circle at F, and EG is
tangent to the circle at G. Line segments HF, PG, HJ, and PJ
are also tangent segments.
When mEF = 10 units, what is the perimeter of triangle EHP?
Explain your reasoning.
Answer:
The perimeter is 20 units----------------------------------
According to the two-tangent theorem, two tangent segments drawn to one circle from the same external point are congruent.
That is:
EF = EG,HF = HJ,PJ = PG.We have EF = 10 units, it means EG is also 10 units.
The perimeter of triangle EHP is:
P = EH + HP + EPWe can substitute:
HP = HJ + PJ, segment addition,HJ = HF, stated above,PJ = PG, stated above.Then the perimeter is:
P = (EH + HF) + (EP + PJ) = EF + EG = 10 + 10 = 20 unitsPlssssss someone help I've been stuck on this for over an hour.
Answer:
c = √52
Step-by-step explanation:
→ Write Pythagoras' theorem
a² + b² = c²
→ Substitute in the numbers
4² + 6² = c²
→ Simplify
52 = c²
→ Square root both sides
√52 = c
How many zeros are at the end of the product $25 \times 240$?
Answer: There are three 0s
240 x 25 = 6000 and there are three 0s in 6000
Pls help plssssssssssss
HURRY HELP ME PLEASE
Answer:
c maybe
Step-by-step explanation:
Answer:
i cant see it very well but i wanna say its A but im not 100% sure
Step-by-step explanation:
Some one please help me solve this
Solve each system by elimination.
1) -3х – бу = -3
5x + 5y = 0
Answer: look at the picture
Step-by-step explanation: Hope this help :D
I’d love you he help for all of it but i’ll take what I can get
Answer:
Parallelogram formula- 1/2 x base xheight
Step-by-step explanation:
Rent-A-Car charges $50 to rent a car plus $0.25 per mile. Save-To-Rent charges $25 to rent a car plus $0.41 per
After how many miles will the cost be the same to rent a car?
miles
After 156.25 miles will the cost be the same to rent a car. This can be solved by the concept of cross-multiplication.
What is cross-multiplication?Fractions are multiplied by multiplying the numerator of the first fraction by the denominator of the second fraction, and the numerator of the second fraction by the denominator of the first fraction.
In order to get the second fraction's numerator, multiply the first fraction's denominator by it. Cross multiply is another name for the butterfly technique of multiplication. The cross-multiply technique is used to find one or more variables in a fraction.
Let, assume miles be m.
and, Let the total cost be x.
According to the question,
0.25m + 50 = x ........(i)
0.41m + 25 = x ........ (ii)
By solving equation (ii) by (i) we get -
0.16 m - 25 = 0
or, 0.16m = 25
or, m = 25 /0.16
or, m = 156.25
Thus, number of miles = 156.25 miles.
To know more about cross - multiplication refer to:
brainly.com/question/17211345
#SPJ1
A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52
The sample space of the experiment is 52.
What is probability?The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.
52 cards in a deck
There are 12 face cards.
The experiment needs a sample space of 52 to find the face cards.
Given that a regular deck of cards is available.
The sample space required for the experiment to determine the probability of face cards must be found.
A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.
52 samples are therefore required for the experiment.
To know more about probability visit:-
brainly.com/question/11234923
#SPJ4
The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?
The percent of fans that are between 18 and 27 years old is 16.80%.
How to calculate the percentage of fans?From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.
It should be noted that this will be Illustrated through the normal curve.
The probability will be:
P(18 ≤ X ≤ 27)
= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8
= P(-2.0 ≤ Z ≤ -0.875)
= 0.1908 - 0.02275 (From the standard normal calculator)
= 16.80%
The percentage is 16.80%.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1