Answer:
R is reflexive and transitive but not symmetric.
Step-by-step explanation:
R = {(a, b); a ≤ b}
Clearly (a, a) ∈ R as a = a.
R is reflexive.
Now,
(2, 4) ∈ R (as 2 < 4)
But, (4, 2) ∉ R as 4 is greater than 2.
R is not symmetric.
Now, let (a, b), (b, c) ∈ R.
Then,
a ≤ b and b ≤ c
→ a ≤ c
→ (a, c) ∈ R
R is transitive.
Thus, R is reflexive and transitive but not symmetric.
Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a
Line CB touches circle A only at one point (point B), hence CB is a tangent.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
When a line intersects a circle in exactly one point the line is said to be tangent to the circle
Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.
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A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
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Place each function below in the appropriate cell to show the transformation from
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Top left box
f(x) = 2x² + 4
g(x) = 2f(x) - 3
g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5Top right box
f(x) = 2x² + 4
g(x) = 2f(x) + 3
g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11Bottom left box
f(x) = 2x² - 4
g(x) = 2f(x) - 3
g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11Bottom right box
f(x) = 2x² - 4
g(x) = 2f(x) +3
g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5How to find the base of a triangle if your height is 6 inches.
Answer:
Triangle Area = 1/2 x Base Length x Height Example:
Can anyone please answer the attachment
Answer:
•SEE BELOW•1) NAME OF CIRCLE : CIRCLE ABDE
2) CHORD : SEGMENT DE
3)DIAMETER: SEG DB
4)TANGENT LINE : RAY E
5) SECANT LINE : SEGMENT AB
HOPE IT HELPS!
MARK AS BRAINLIAST.
giving brainiest and 85 points!
Answer:
12 560 cubic feet
Step-by-step explanation:
radius of circular cross section = 20ft/2 = 10ft
Area of circular cross section = πr²
= 3.14 x 10 x 10
= 314 square feet
Volume of cylindrical tank = 314 ft² x 40ft
= 12 560 ft³
How much blue paint did they use in all?
Answer:
2.25 ounces
Explanation:
0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 Xso total used:
0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm long, 11 cm wide, and 10 cm tall?
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
Additional comment
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!
Answer:
To get the discount for the 5 pound bag of apples, we must first note the following:
The original price of the apples, which in this case it is 2.99
Also we must note the sale price for the apples which is 1.59
to get the discount for apples we must then create an equation based on the above information,
Discount for A= original price -sale price
Discount for A=2.99-1.59
Discount for A=1.40
Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.
Part 2
To get the discount for oranges we follow the same steps.
Discount for R= Original price for R -sale price for R
Discount for R=3.99-2.59
Discount for R=1.40
In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:
D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)
Answer:
I'm not certain I understand what is being requested. Please see the attached explanation for two different approaches.
Step-by-step explanation:
See attachment.
Gwen owes a total of $4,522.50 on revolving credit accounts thar have total limits of $7,950.00. Calculate the amount she needs to pay on her revolving credit accounts to reach a 25% debt-to-credit ratio.
$1,922.50
$2,100.00
$2,517.50
$2,535.00
In the following expression, 6 and -6 are like terms.
6- 6 + 8a
a) True
b) False
Answer:
no there not
Step-by-step explanation:
6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign
What is the surface area?
l×d×h
= 9m×4m×5m
= 180m²
What is the measure of \angle D∠Dangle, D?
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Evaluate. 3 x 2/3 x 1/8
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
HOPE IT HELPS (^o^)/
#carryonlearning
A composite figure consisting of two right angled triangles lying next to each other. Two sides of the triangle on the left are labeled as 13 millimeters and 5 millimeters. Two sides of the triangle on the right are labeled as x and 35 millimeters."/>
Answer:
u got this bro come on
x28
The wheel of a bike has a diameter of 26 inches. What is the circumference of the wheel?
Answer:
C ≈81.64 inches
Step-by-step explanation:
Formula : C ≈ πd
Where:
C = circumference
π ≈ 3.14 {About}
d = diameter
As Given :
Wheel of a bike has a diameter of 26 inches.
Solution:
Note - Given that diameter = 26
π ≈ 3.14 {About}
C ≈ 3.14 (26)
C ≈ 81.64
Therefore the circumference of the wheel is 81.64 inches
Kavinsky
this really hard for me so if you could leave a explanation that would be great.
Answer: The answer is B and C.
Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.
find the surface area of a cube with a side length of 1/9
To find the surface area, we must define what is the surface area
Definition of Surface Area: is all the areas of the sides of the 3D shapes added upIn this case, we have a cube
⇒ which means all the sides have equal areas since all the side lengths
are equal
That means the surface area
⇒ is equal to ⇒ 6 * (Area of One Side)
'6' comes from the # of sides on a cube
Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27
Hoped that helped!
(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.
Students who will attend community college are not required to take SAT or ACT exams.
Given that,
Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.Based on the information.
About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.Therefore, Students who will attend community college are not required to take SAT or ACT exams.
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WHAT IS -X-5 I AM STUCK ON THIS QUESTIOOOOON
Answer:
Step-by-step explanation:
Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5
please please help me
Answer:
D. 102.6 in²
Step-by-step explanation:
The area of the square is 9 in² (3 × 3 = 9)
The area of the rectangle is 30 in² (3 × 10 = 30)
The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)
Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Square:
side = 3 in
[tex]\bf \boxed{\text{Area of square = side *side}}[/tex]
= 3*3
= 9 square inches
Rectangle:
length = 10 in
width = 3 in
[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]
= 10 *3
= 30 inches
Circle:
diameter = 9 in
radius = 9 ÷ 2 = 4.5 in
[tex]\boxed{ \text{Area of circle = $\pi r^{2}$}}[/tex]
= 3.14 * 4.5 *4.5
= 63.6 square inches
Total area = area of square + area of rectangle + area of circle
= 9 + 30 + 63.6
= 102.6 square inches
What does 'n' represent in the general term (tn) = an2 + bn+c of a sequence?
Answer:
number of terms
Step-by-step explanation:
Answer:
n represents any natural number.
Step-by-step explanation:
the $120 repair bill included $36
parts and the rest for labor.
hat percent of the bill was for
labor?
Answer:
Step-by-step explanation:
36/120 for parts
x-36/120 is for labour
x = 120
120-36/120
84/120
times by 100 for percent
70%
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
What is a square root?
Answer: the factor that we can multiply by itself to get that number
Step-by-step explanation:
For example, the square root of 4, is 2 because 2*2 is 4.
Answer:
the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give
Step-by-step explanation:
Complete the table and then graph the function.
y = 5x
Answer:
Coordinates: (0,0) ; (1,5) ; (2,10)
Step-by-step explanation:
x | y
0 0
1 5
2 10
Coordinates: (0,0) ; (1,5) ; (2,10)
This should be a straight line that is going diagonally with a positive slope.
True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.
The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.
What is a pooled sample?It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.
In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.
In conclusion, the correct option is true.
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Decide whether each equation is true or false.
1. 9 ⋅ 9 ⋅ 3 = 3 5
2. 7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
3. 1 7 ⋅ 1 7 ⋅ 1 7 = 3 7
4. 4 1 = 4 ⋅ 1
5. 6 + 6 + 6 = 6 3
Answer:
Step-by-step explanation:
Number 1 FALSE
9 * 9 * 3 = 81 * 3 = 243
Number 2 TRUE
7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
7 * 3 = 3 * 7
21 = 21
Number 3 FALSE
17 * 17 * 17 = 4913
Number 4 FALSE
4 * 1 = 4
Number 5 FALSE
6 + 6 + 6 = 18
What is the slope of the line that includes these two points
Answer:
[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]
Step-by-step explanation:
[tex]m=\dfrac{rise}{run}[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{6-8}{-7-5}[/tex]
[tex]m=\dfrac{-2}{-12}[/tex]
[tex]m=\dfrac{1}{6}[/tex]
Hope it helps! :)
