Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
When a principal amount, P, is invested at an annual interest rate, r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1 + r/n) ^nt
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?
0.0175
5 6 2
Answer:
n =2
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
The money is compounded every 6 months.
n is the number of times that interest is compounded per year.
Each 6 months means 12/6 = twice a year. So n =2..
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
C
Step-by-step explanation:
y = -f(x) is the reflection about the x-axis of the graph y = f(x).
What is the area of the shape below
Answer:
The area of the shape is [tex]A=886 \:cm^2[/tex].
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is [tex]A=34\cdot 16=544\:cm^2[/tex]
The area of the second rectangle is [tex]A=11\cdot19=209\: cm^2[/tex]
The area of a triangle is given by the formula [tex]A=\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle.
The area of the triangle is [tex]A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2[/tex]
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
[tex]A_{composite\:shape}=544+209+133=886 \:cm^2[/tex]
MATHEMATICS
please answer it i am waiting
choose the correct option :
1: set A = { 1,5,6,7 } and set B = { 0,1,7,15 } . what is the A U B ?
a) A U B = { 0,1,5,6,7,15 }
b) A U B = {0,1,1,5,6,7,15}
c) A U B = { 1,5,6,7,15}
d) A U B = { 1, 7 }
2: which equation shows the identity property of multiplication ?
a) a+a+a+= 3× a
b) ( a + b ) + 4 = a + ( 4 + b )
c) a ( b + c ) = ab + ac
d) a×1 = a
3: which is an example of associative property of addition ?
a) 7+ 0 = 7
b) (3+9) + 8 = 3 + ( 9+ 8)
c) 5 + ( -5 ) = 0
d) 4+ 3 = 3 +4
4: which property of addition is used in the following ?
( 9+8 ) + 5 = 9 + ( 8+ 5 )
a) associative property
b) closure property
c) distributive property
d) commutative property
5: which property is used in the following expression ?
( 2 × 6 ) × 4 = 6 × ( 4 × 2 )
a) distributive property of multiplication
b) commutative property of addition
c) associative property of addition
d) associative property of multiplication
6: which property is used in the following ?
2×( 4+3 ) = 2 x 4 + 2 × 3
a) commutative property
b) distributive property
c) associative property
d) none of the above
7: which is an example of identity property of addition ?
a) (4+6) + 2 = 4 + ( 6 + 2 )
b) 9+ 0 = 9
c) 8× 1 = 8
d) 7+ 4 =4+ 7
8: which of the following does NOT show the commutative property of addition ?
a) ab = ba
b) 3x + 4y = 4y + 3x
c) a+ b =b+ a
d) 8+ x = x + 8
9: which operation will not change the value of any nonzero number ?
a) dividing by zero
b) adding one
c) multiplying by zero
d) multiplying by one
10: which property of addition does 2 + 0= 2 illustrate ?
a) commutative property
b) zero property
c) distributive property
d) identity property
please , i am in a hurry
Answer:
1 .i think it is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
Choose the correct option
A cone has a diameter of 6ft and a slant height of 19ft.
Answer:
19π
Step-by-step explanation:
Volume of the cone is πr^2 * h/3
r = 3
h = 19
3π * 19/3 = 19π
I think of a number, double it, and subtract two. I get nine. using the statement above, from an equation. Use the letter "X" for the unknown number.
solve the equation as well.
Answer:
5.5
Step-by-step explanation:
your number is X
doubling it=2X
2X-2=9
using like terms...
2X=9+2
2X=11
dividing through by 2
2X/2=11/2
X=5.5
Answer: The no. thought is 5.5
Step-by-step explanation: Let the no. thought be ' x '
2x - 2 = 9
2x = 9+2
2x = 11
x = 11/2 = 5.5
4 (5 points)
3
Solve 3t - 6 = t - 2
a) -4
6
b) 2
9
O c) 1
12
d) -2.
t = 2
so the answer is b?
it shows many numbers.
2t = 4 [simplify]
divide both sides by 2
2t/2 = 4/2
so t = 2, but i see that theres a 9 on b? is that an accident?
There are 16 students who choose up sides to play soccer. How many different teams of 8 can be formed?
Select the best answer from the choices provided.
ОА
12870
B.
120
40320
D, 720
What is (GCD) of 24, 48 and 60?
Answer:
12
Step-by-step explanation:
find the value of x
a) 1
b) 31
c) 24
d) 14
So the right answer is 14.
Look at the attached picture
Hope it will help you
Good luck on your assignment
What expression is equivalent to 2(t-4)+1
Answer:2t-7
i just kinda solved it hehe
The (2t - 7) is the expression that is equivalent to (2(t-4)+1) and this can be determined by using the arithmetic operations.
Given :
Expression - 2(t - 4) + 1
The following steps can be used to evaluate the given expression:
Step 1 - Open the parenthesis in the given expression. Then multiply 2 by t and then multiply 2 by -4.
= 2t - 8 + 1
Step 2 - Now, subtract 8 from 1 in the above expression.
= 2t - 7
So, the (2t - 7) is the expression that is equivalent to (2(t-4)+1).
For more information, refer to the link given below:
https://brainly.com/question/2353072
formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)
Answer:
y = x^2 +2x +1
Step-by-step explanation:
Let's see how this works.
Two of the given points have the same y-value, so the axis of symmetry is located halfway between. If we translate the desired curve down 1 unit, those symmetrical values become zeros, and our function will look like ...
f(x) = ax(x +2)
We want this to go through the third point, also translated down by 1 unit, so we have ...
3 = a(1)(1+2) = 3a
That is, a=1, so f(x) = x(x+2) and translating that up 1 unit gives our desired function:
y = x(x+2) +1
y = x^2 +2x +1
_____
Using the quadratic regression function of a graphing calculator gives the same result.
_____
Comment on the solution approach
For arbitrary points, one would generally substitute them into the formula for the function you want:
y = ax^2 +bx +c
to get three equations in the parameters a, b, and c. These equations would be solved to find the desired coefficients. As noted elsewhere, one of the given points for this problem is the y-intercept (0, 1), so right away we know c = 1. ("c" is the y-intercept.)
That leaves two remaining equations in two unknowns (using the other two points).
Using the point (-2, 1), the equation is ...
1 = a(-2)^2 +b(-2) +1 ⇒ 4a - 2b = 0 ⇒ 2a -b = 0
Using the point (1, 4), the equation is ...
4 = a(1^2) +b(1) +1 ⇒ a +b = 3
Adding these gives 3a = 3, or a=1. Then substitution gives b=2, so the final equation is ...
y = x^2 +2x +1
Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?
Answer:
Patel’s initial deposit was $3000
Step-by-step explanation:
Given:
Simple interest (S.I.) = 5%
Time period (t) = 10 years
Interest earned (r) = $1500
To find: Patel’s initial deposit
Solution:
Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.
Let p denotes original amount of a loan
[tex]S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000[/tex]
So, Patel’s initial deposit was $3000
marking brainliest right away!!!!
Answer:
(-3,-1)
Step-by-step explanation:
When you graph it on a graphing paper, you can see that the graph touches it but barely
What values of x make the equation 2 + 9x - 22 = 0 true? Check all that apply.
-2
0
2
11
Answer:
x = 20/9
Step-by-step explanation:
2 + 9x - 22 = 0
Combine like terms
9x - 20 =0
Add 20 to each side
9x-20 +20 = 20
9x = 20
divide each side by 9
9x/9 = 20/9
x = 20/9
What’s the correct answer for this question?
Answer:
D = (x+6)² = 13
Step-by-step explanation:
In the attached file
A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 4 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability
Answer:
P of b=7/20
P of g=3/20
P of y=6/20=3/10
P of p=4/20=1/5.
Step-by-step explanation:
there are in total 20 tiles so S=20
there are 7 blue tiles so P=E/S=7/20
there are 3 green tiles so P=E/S=3/20
there are 6 yellow tiles so P=E/S=6/20=3/10.
there are 4 purple tiles so P=E/S=4/20=1/5
-9x+7y=28 find the y intercept
In slope-intercept form, we have these values (y = mx + b):
m = slope
b = y-intercept
Change the equation from standard form to slope-intercept form.
-9x + 7y = 28
-9x + 9x + 7y = 28 + 9x
7y = 28 + 9x
7y/7 = 28/7 + 9x/7
y = 4 + 9/7x
y = 9/7x + 4
Therefore, the y-intercept is 4.
Best of Luck!
Please answer number six I will give brainliest thank you!
Answer:
The new median would be 15.
Step-by-step explanation:
This is because the median means the middle number so we can cross out 2 and 25. Then cross out 6 and 23. Then cross out 7 and 21. Next, cross out 14 and 20. Since there is only one number left, 15, that number is therefore the median.
Answer:
List the numbers in order including 25
2,6,7,14,15,20,21,23,25
choose the number in the middle
15 has 4 numbers to the left and right so it is in the middle so it is the median
hope this helps
Step-by-step explanation:
What is the third step when calculating the Mean Absolute Deviation (MAD)
Answer:
Step 3: Add those deviations together.
Step-by-step explanation:
Miguel brings 3 pies to a bake sale. He sells 1 3/8 in the first hour of the bake sale and 1 2/8 pies in the second hour of the bake sale. What fraction describes the total number of pies Miguel sells in the first two hours of the bake sale?
Answer:
2 5/8
Step-by-step explanation:
Eager to finish studying, Maya mastered all 12 of her spelling words in 4/5 of an hour. At what rate did she master them
Step-by-step explanation:
4/5 of an hour = 48 min
Total words = 12
Rate = 48 ÷ 12 = 4
She mastered 1 word in 4 min
Answer:it’s 15
Step-by-step explanation:
Determine whether the equation is an identity or not an identity.
help me plssssss :(:
Answer:
C = 2*π*r
Step-by-step explanation:
When given the radius, we can multiply it by both pi and 2 to find the circumference of a circle.
Answer:
C=2πr
Step-by-step explanation:
C=2πr
There are three apple orchards. Each orchard has a different number of trees and apples.
Answer:
A. The #1 Seed
Step-by-step explanation
To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.
How do I find how many times a line intersects?
Answer:
you should count how many time two or more line touches each other
Answer:
If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.
Step-by-step explanation:
(-6/5)x- 4 = -46
•23
•35
•-23
•-35
help help help
Answer:
35
Step-by-step explanation:
Equation:
(-6/5)x - 4 = -46
Add 4 on both sides:
(-6/5)x - 4 = -46
+4 +4
(-6/5)x = -42
Multiply both sides by the reciprocal, or opposite:
-5/6[(-6/5)x] = (-42)-5/6
x = 35
Therefore, x is equal to 35.
Answer:
x = 35
Step-by-step explanation:
Step 1 : 6/5 Simplify
Step 2 :
Rewriting the whole as an Equivalent Fraction
Adding fractions that have a common denominator
Step 3
Rewriting the whole as an Equivalent Fraction
Answer: x = 35
Hope this helps.
What is the first step in evaluating this expression?
15 + 20 ÷ (10 – 7) + 12
Answer:
33.67
Step-by-step explanation:
BODMAS (Bracket of Division Multiplication Addition Subtraction)
bracket then divide and so on
Answer:
33.67
Step-by-step explanation:
hope this helps have a wonderful day
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him to walk at a slow pace as he works. However, he is concerned that standing and walking while working may cause his productivity to decline. After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer. Assuming that all conditions for inference are met, which of the following is a 95 percent confidence interval for the average change in the number of billable hours for each increase of 1 hour spent walking?
Answer:
answer is
[tex]-0.245 \pm2.160(0.205)[/tex]
Step-by-step explanation:
After working this way for 6 months he takes a simple random sample of 15 days. He records how long he walked that day (in hours) as recorded by his fitness watch as well as his billable hours for that day as recorded by a work app on his computer.
Slope is -0.245
Sample size n = 15
Standard error is 0.205
Confidence level 95
Sognificance level is (100 - 95)% = 0.05
Degree of freedom is n -2 = 15 -2 = 13
Critical Value =2.16 = [using excel = TINV (0.05, 13)]
Marginal Error = Critical Value * standard error
= 2.16 * 0.205
= 0.4428
[tex]-0.245 \pm2.160(0.205)[/tex]
Answer:
The correct answer is C. [-0.245±2.160*0.205]
Step-by-step explanation:
Hello!
To analyze the if walking while working (independent variable X) affects his working productivity (dependent variable Y) James took a random sample of 15 days (from a 6 month period in which he worked and trained at home) and recorded how long he walked and his billable hours for that day.
Using this information he estimated the linear regression between the working productivity and the time spent training.
^Y= 7.785 -0.245X
The interest is to estimate the change in the average number of billable hours every time he increases the time spent walking in 1 hour.
To estimate the range of values the average billable hours may take each time the training time increases sone hour, you have to calculate a confidence interval for the population slope of the regression. The statistic is a t-test:
[tex]t= \frac{b-\beta}{Sb} ~~t_{n-1}[/tex]
[b±[tex]t_{n-2;1-\alpha /2}[/tex]*Sb]
Using a 95% confidence level the value of t is [tex]t_{n-2;1-\alpha /2}= t_{13; 0.975}= 2.160[/tex]
b= -0.245
Sb= 0.205
[-0.245±2.160*0.205]
[-0.68780.1978]
Using a 95% confidence level you'd expect the interval [-0.68780.1978] to contain the value of the average billable hours when the time spent walking increases in 1 hour.
I hope this helps!
how does the spread of waldens data set compare with the spread of drakes data set
Answer:
Walden’s data ranges from 2 to 4, and Drake’s data set ranges from 3 to 9. Drake’s data set has a greater spread than Walden’s data set.
Step-by-step explanation: