To write the radius of the fishing line in standard form, it is 0.00025 foot. In inches, the length is 0.003 inches.
Explanation:The radius of the fishing line is given as 2.5*10^-4 foot. To write this number in standard form, we first need to convert it into decimal form.
To do this, we move the decimal point four places to the left, since the exponent is negative. This gives us 0.00025.
Therefore, the number in standard form is 0.00025 foot.
To convert this into inches, we know that there are 12 inches in a foot. So, we multiply the length in feet by 12 to get the length in inches.
Therefore, the length of the fishing line in inches is 0.00025 foot * 12 inches/foot = 0.003 inches.
What is this please help
Answer:
y=9
y=1
y= -7
y= -15
Step-by-step explanation:
You have to use the number in the x colum and fill in itnot te equation
y= -4x+1
Start with the first number, -2
y= -4(-2)+1 multiply -4 and -2 because of PEMDAS
y=8+1 simplify
y=9
Now do the next number, 0
y= -4(0)+1 Multiple -4 and 0 because of PEMDAS (Anything times 0 is 0)
y=1
Now do the next number, 2
y= -4(2) + 1 Multiply -4 and 2 because of PEMDAS
y= -8 + 1 Simplify
y=-7
Now do the next number, 4
y= -4(4) +1 Multiply -4 and 4 because of Pemdas
y = -16 +1
y= -15
ErvIn bowled 7 games last weekend. his scorers are : 155,165,138,172,193,142. what is the range of ErvIn scores
The range of a set of values is the lowest and highest number of that data set.
First, lets put the numbers from least to greatest.
138, 142, 155, 165, 172, 193
Second, find the lowest and greatest number in the data set.
138 is the lowest and 193 is the highest number in the data set.
Therefore, 138 and 193 is the range.
Best of Luck!
4x + 10 = -26 what is x
Answer: x=-9
Step-by-step explanation:
First, we want to isolate x by subtracting ten from both sides
4x=-36
Then divide by four to get:
X=-9
Answer:-6
Step-by-step explanation:
you'd want to subtract the ten and move it under the 26, adding to make a negative 36 then divide by 4 on both sides
What is the positive solution to the equation 2x^2+25=73
Step-by-step explanation:
Because 1. x =(5-√73)/4=-0.886and the other one is 2. x =(5+√73)/4= 3.386
Final answer:
The positive solution to the equation 2x² + 25 = 73 is x = √24, which is approximately 4.9.
Explanation:
The student is asking for the positive solution to the equation 2x² + 25 = 73. To solve this, we first isolate the quadratic term by subtracting 25 from both sides of the equation, resulting in 2x² = 48. Then, we divide both sides by 2, simplifying to x² = 24. Taking the square root of both sides gives us two solutions, x = √24 and x = -√24. Since we're seeking the positive solution, we take the positive square root, which yields x = √24 or about 4.9.
Simplify the following expression.
2x^5+ 3x^3 - 5x^2 + x^2 +7x+1+7x^5 - 3x^3 - 4
The sum of three consecutive integers is -234 find the integers
Answer:
-77, -78, -79
Step-by-step explanation:
let one of the integers be x
since the integers are consecutive, the other 2 integers must be
(x+1) and (x+2)
given that sum of the integers is -234,
x + (x+1) + (x+2) = -234
x + x + 1 + x + 2 = -234
3x + 3 = -234 (subtract 3 from both sides)
3x = -234-3
3x = -237 (divide both sides by 3)
x = -237 / 3
x = -79 (answer)
hence the other two numbers are
(x + 1) = -79 + 1 = -78 (answer)
and
(x+2) = -79 + 2 = -77 (answer)
Answer:
Step-by-step explanation:
let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are
x,x+1 and x+2.
since sum or add all three integer we get -234. so
x+x+1+x+2=-234
x+x+x=3x, and 1+2=3
3x+3=-234
3x=-234-3
3x=-237
x=-237/3
now the first integer is -237/3 or -79,
second integer is -78 and third integer is -77.
for verification add all three to get -234.
-79-78-77=-234. hence proved.
6r3s–12r3–10r2s+20r2
Answer:
2(s+10r)
Step-by-step explanation:
Solve for r but write the answer in Simplified form
-12 = 15r
Answer:
r = -4/5
Step-by-step explanation:
Divide both sides by 15 so you have r
-12/15 simplify (both by 3)
-4/5
A ____ a0 angle has the same measure as its arc.
A central angle has the same measure as its arc.
Which of the following are possible equations of a parabola that has no real solutions and opens downward?
y>= -(x+4)^2 - 2
y>= -(x+4)^2 + 2
y>= -x2-2
y>=(x-4)^2 + 2
y>= -(x-4)^2 - 2
Answer:
[tex]y = - {(x - 4)}^{2} - 2[/tex]
[tex]y = - {(x + 4)}^{2} - 2[/tex]
Step-by-step explanation:
The vertex form of a parabola is given as
[tex]y = a {(x - h)}^{2} + k[/tex]
If this parabola opens downward, then a<0.
This means for a function opening downward not to have a solution, the k value must also be negative and taking a square root of a negative number will not give real solution.
From the given options, examples of such functions are:
[tex]y = - {(x + 4)}^{2} - 2[/tex]
and
[tex]y = - {(x - 4)}^{2} - 2[/tex]
Answer:it’s y>=-(x+4)^2-2
Step-by-step explanation:
I checked it in my graphing calculator and it works. I’m also doing the program sooo
factor 5x2 + 10x + 2x + 4
Answer:
(5 x + 2) (x + 2)
Step-by-step explanation:
Factor the following:
5 x^2 + 10 x + 2 x + 4
10 x + 2 x = 12 x:
5 x^2 + 12 x + 4
Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):
2 (5 x + 2) + x (5 x + 2)
Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):
Answer: (5 x + 2) (x + 2)
PLEASE HELP - Part A Find the value of x in the following figure: Part B Find the measure of ACD
Answer:
Part A = 90
Part B = 145
Step-by-step explanation:
For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.
If 12 and 20 each divide K without a remainder, what is the value of K?
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 20: 1, 2, 4, 5, 10, 20
In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.
Answer:
4
Step-by-step explanation:
1*12=12 1*20=20
2*6=12 2*10=20
3*4=12 4*5=20
both have a similar multiple of 4, so k must be 4.
How to solve -x+3y=4 ,3x+2y=-7
Answer:
x = -29/11 , y = 5/11
Step-by-step explanation:
-x+3y=4 ,..........(1)
3x+2y=-7 ............(2)
Solve simultaneously using elimination method
Multiply equation 1 by 3
It gives
-3x + 9y = 12
3x + 2y = -7..........(2) , add both equations
--------------------------
11y = 5
Divide both sides by 11
y = 5/11
Put value of y into equation (2)
3x +2y = -7
3x + 2(5/11) = -7
3x + 10/11 = '-7
Subtract 10/11 from both sides
3x +10/11 - 10/11 = -7 - 10/11
3x = -87/11
Divide both sides by 3
3x/3 = -87/11 ÷ 3
x = - 87/11 × 1/3
x = -29/11
Therefore x = -29/11 , y = 5/11
I hope this was helpful, please mark as brainliest
What is the area of this figure?
Problem setup:
The shape is way too complicated by itself, so I cut the shape into 5 different parts.
Please refer to the attached image or my answer will not make much sense.
Shape 1:
This is a triangle. The base is 3 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*3*2[/tex]
[tex]=3[/tex]
Shape 1 has an area of 3 square units.
Shape 2:
This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=\dfrac{1}{2}*4*2[/tex]
[tex]=4[/tex]
Shape 2 has an area of 4 square units.
Shape 3:
This a unit square (the side lengths are 1).
Thus, Shape 3 has an area of 1 square unit.
Shape 4:
This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:
[tex]A=3*4[/tex]
[tex]=12[/tex]
Shape 4 has an area of 12 square units.
Shape 5:
This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:
[tex]A=4*2[/tex]
[tex]=8[/tex]
Shape 5 has an area of 8 square units.
Total shape:
Add the areas of all 5 shapes to find the area of the shaded figure.
[tex]A=3+4+1+12+8[/tex]
[tex]=26[/tex]
The figure has a total area of 26 square units.
Side notes:
There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?
Let me know if you need a hint or any clarifications, thanks!
~ Padoru
Define highest common factor
Answer:
Of two numbers, The largest whole number which is a factor of both.
Step-by-step explanation:
The sum of two numbers is 51 and the difference is 17. What are the numbers?
Answer: The answer is 34 and 17
Step-by-step explanation: 34+17= 51
and 34-17=17
the sidees of a triangle measures 10cm 10 cm and 6cm what type of triangle is it?
i need help
Answer:
Isosceles Triangle
Step-by-step explanation:
Since, sides of triangle measures 10 cm, 10 cm & 6 cm.
Therefore, two sides of triangle have equal measurement.
Hence, it is an ISOSCELES triangle.
Find the slope of the line that contains the points (1,-1) and (-2,8)
The slope of the line that contains the points (1,-1) and (-2,8) is calculated using the change in y-values over the change in x-values, which results in a slope of -3.
To find the slope of the line that contains the points (1,-1) and (-2,8), we use the formula:
slope (m) = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1)
Substitute the given points into the formula:
m = (8 - (-1)) / (-2 - 1)
= (8 + 1) / (-2 - 1)
= 9 / (-3)
= -3
So, the slope of the line is -3.
Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a tally table and a line plot to show the data. 3/4, 1/4, 2/4, 4/4, 1/4, 1/4, 2/4, 3/4, 3/4
What is the difference in weight between the heaviest carton and lightest carton of rasperries?
Answer:
The difference is 3/4
Step-by-step explanation:
First, you look at the smallest and biggest amount. Then, you subtract! 4/4-1/4=3/4
you want to leave a person a 25% tip. But how much of a tip would you leave her if your meal was $38.47
Answer:$48.09 please give brainliest!
Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09
Answer:
$9.62
Step-by-step explanation:
total cost= $38.47
tip = 25% = [tex]\frac{25}{100}[/tex]
=> tip = [tex]\frac{25}{100}[/tex] * $38.47
≈ $9.62 (to the nearest cent)
NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.
Hope this helps :)
A large candy bar was 127 calories. The smaller
candy bar has 25 percent less calories. How many
calories does the smaller candy bar have?
Answer:
95.25 calories
Step-by-step explanation:
127 x 0.25 = 31.75
127 -31.75 = 95.25
Simplify 5(x - 6).
5x - 30
O-X
5x - 6
Answer:
[tex]5x - 30[/tex]
Step-by-step explanation:
We want to simplify
[tex]5(x - 6)[/tex]
We use the distributive property of real numbers which says that:
[tex]a(b + c) = ab + ac[/tex]
We apply the distributive property to get;
[tex]5(x - 6) = 5 \times x - 5 \times 6[/tex]
This implies that:
[tex]5(x - 6) = 5 x - 30[/tex]
Therefore the correct answer is 5x-30
Chuck mallory makes a deposit at an atm and walks away with $50.00 in cash and the receipt for the $538.00 total deposit he made. He remembers that the checks deposited totaled twice the currency he deposited. He did not deposit any coins. How much In currency did he deposit ? How much in checks did he deposit ?
Chuck Mallory deposited $179.33 in currency and $358.66 in checks at an ATM. This total transaction totaled $538.00.
Explanation:The question references a deposit made at an ATM. We'll analyze this transaction with the given facts.
Chuck deposited a total of $538.00 He left the bank with $50.00 in cash The total deposit is composed of checks and currency The checks deposited were twice the amount of currency deposited
Let's declare two variables to solve this problem. Let C represent the Currency and Ch represent the Checks. Based on the facts, we can establish the following equations:
C + Ch = $538 Ch = 2C
We can solve for C by replacing Ch in the first equation with 2C from the second equation. Doing this, we get C + 2C = $538, or 3C = $538.
By dividing both sides of the equation by 3, We get C = $179.33. He deposited $179.33 in currency.
We can then find how much in checks he deposited by substituting C=$179.33 in the second equation. Ch = 2* $179.33, so Ch = $358.66. He deposited $358.66 in checks.
Learn more about Currency and Checks Deposits here:https://brainly.com/question/15867820
#SPJ12
Find the volume of a cylinder if the radius is 12 inches and the height is 17 inches
Answer:
Volume of the cylinder = [tex]7686.72\,inches^3[/tex]
Step-by-step explanation:
Radius(r) of the cylinder= [tex]12\,inches[/tex]
Height(h) of the cylinder= [tex]17\,inches[/tex]
Volume of a cylinder is :
[tex]\pi \times r^2\times h[/tex]
As,
[tex]\pi =\dfrac{22}{7}=3.14[/tex]
Volume is:
[tex]=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3[/tex]
The volume of the cylinder is: [tex]7686.72\,inches^3[/tex]
Use prefix to write 0.0052 grams in kilograms
Answer:
0.0000052 kg
Step-by-step explanation:
Per one kilogram, there are one thousand grams. By dividing 0.0052 grams by 1000, we can find kilograms.
0.0052/1000 = 0.0000052 kg
(This could also be written as 5.2 x 10^-6 kg)
Hope this helps!
1.2 per 1000 delivery hospitalizations equals how many births
Answer:
1200
Step-by-step explanation:
1.2 * 1000
1200
Answer: 1200
Answer:
1200
Step-by-step explanation:
1.2 per 1000 delivery hospitalizations equals how many births?since they are 1.2 per 1000
= 1.2 * 1000
= 1200
Write an expression using the distributive property to find the product of 7x63
Answer:
7(60+3)
Step-by-step explanation:
The distributive property is a(b+c) = ab+ac
7 x 63 = (7x60) + (7x3) = 7(60+3)
So in distributive form it would be 7(60+3)
Answer:
7(1·9)
Hope this helps
The sum of two numbers is 98. If four times the smaller number is subtracted from the larger number, the result is 18. Find the two numbers,
The larger number is
The smaller number is
Hey there!
Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.
x+y=98
y-4x=18
Now, let's solve the bottom equation for y so we can use substitution.
y=18+4x
Now we plug this into the first equation.
x+18+4x=98
5x+18=98
5x=80
x=16
Now, we plug this into the first equation to find y.
y=82.
So, the larger number is 82 and the smaller number is 16.
I hope this helps! Have a great day!
use mental mathe to solve n−5=−6
Answer:n=-1
Step-by-step explanation:n=-6+5
n=-1
Answer:
n = -1
Step-by-step explanation:
Given
n - 5 = -6
Add 5 to both sides in order to isolate the unknown
n - 5 + 5 = -6 + 5
n = -1