Answer:
CIRCUMFERENCE (of a circel) = 3.14 * DIAMETER
C = 3.14 * D
106.76 mm = 3.14 * D
hence, D = (106.76 mm)/ 3.14
D = 34mm
Therefore the diameter of the circle is 34mm
What is the domain and range!!
PLEASE HELP I WILL BE GIVING OUT MORE POINTD AND MARKED BRAINIST ONLY IF YOU ARE RIGHT THO I DO CHECK !!
Recall that domain is in x axis
Thus from the graph we can see,
the domain is x ≥ -1 and x ≤ 3
Thus final domain: -1 ≤ x ≤ 3
Answer:
[tex]\textsf{domain:}\quad-1\leq x\leq 3[/tex]
[tex]\textsf{range:}\quad\dfrac{16}{3}\leq y\leq 27[/tex]
Step-by-step explanation:
Information
Domain of a function: set of all possible input values (x-values)
Range of a function: set of all possible output values (y-values)
Closed circle: less than or equal to and greater than or equal to (≤ or ≥).
Open circle: less than or greater than (< or >)
Domain
There is a closed dot at x = -1 and x = 3
Therefore, the domain is -1 ≤ x ≤ 3
Range
To calculate the exact range, we need to figure out the equation of the function (as it is difficult to read the exact value of y at x = -1).
From inspection of the graph, we can identify the following ordered pairs:
(1, 12) (2, 18) (3, 27)
General form of an exponential equation: [tex]y=ab^x[/tex]
Inputting the first two ordered pairs into the exponential equation:
[tex]\implies ab^1=12[/tex]
[tex]\implies ab^2=18[/tex]
Dividing the equations to find b:
[tex]\implies \dfrac{ab^2}{ab^1}=\dfrac{18}{12}[/tex]
[tex]\implies b=\dfrac32[/tex]
Inputting b into the first equation to find a:
[tex]\implies \dfrac32a=12[/tex]
[tex]\implies a=8[/tex]
Therefore, the equation of the function is: [tex]y=8\left(\dfrac32\right)^x[/tex]
Input [tex]x = -1[/tex] into the equation to find y:
[tex]\implies 8\left(\dfrac32\right)^{-1}=\dfrac{16}{3}[/tex]
Therefore, the range is [tex]\dfrac{16}{3}\leq y\leq 27[/tex]
Help help math math math
[tex]y=-6x+12\\\\\text{When}~ x = -1\\\\y=-6(-1)+12 = 6+12 = 18[/tex]
Can you find the area and explain how you got the area
Answer:
102cm^2 - hope this helps
Step-by-step explanation:
find the area of the rectangle first in the middle
which equals 6 x 13 = 78cm^2
then find the traingles on the side
(6 x 4) / 2 = 12
there are 2 traingles so it would be 12 + 12 = 24
so all together the area would be 78 + 24 = 102cm ^2
A conveyor belt drops gravel to create a pile in the shape of a right circular cone. The cone is formed from 3,200 ft^3 of gravel. If the height of the cone is 24ft, what is the radius, in feet, of the base cone? Round your answer to the nearest tenth of a foot.
Answer:
11.3 ft
Step-by-step explanation:
[tex]V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)[/tex]
Since, gravel is in the shape of right circular cone.
[tex]\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft[/tex]
Find the point on the line -5x + 7y - 4 = 0 which is closest to the point (2,3).
Answer:
(x, y) = (2 35/74, 2 25/74)
Step-by-step explanation:
The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.
__
A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...
b(x-h) -a(y-k) = 0
For the given line and point, the perpendicular line will be ...
7(x -2) +5(y -3) = 0
7x +5y -29 = 0
Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...
-5x +7y -4 = 07x +5y -29 = 0Δ = (-5)(5) -(7)(7) = -74
Δx = (7)(-29) -(5)(-4) = -183
Δy = (-4)(7) -(-29)(-5) = -173
x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730
y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378
__
For more on the cross multiplication method, you can read ...
https://brainly.com/question/26397343
Help help help help math math
What is the slope of the line described by the equation below?
y-5= -3(x - 17)
hos
A. -3
B. -5
C. 3
O D. 5
SUBMIT
Answer:
A. -3
Step-by-step explanation:
We recognize the given equation as being in point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
__
Comparing that to the given equation ...
y -5 = -3(x -17)
we see that m = -3.
The slope of the line is -3.
WILL GIVE BRANLEST IF CORRECT
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? SELECT 3 OPTIONS
A.) 6 feet by 2 feet by 3 feet
B.) 6 feet by 5 feet by 4 feet
C.) 0 7 feet by 6 feet by 4 feet
D.) 8 feet by 3 feet by 7 feet
E.) O 8 feet by 4 feet by 3 feet
Answer:
B or C
Step-by-step explanation:
B area = 2 ( 6 x5 + 5 x 4 + 4 x 6) = 148 square feet
C area = 2 ( 8x3 + 3x7 + 7x8) = 202 sq ft
Integrate the expression below
[tex]\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}[/tex]
I neef way more help! Only a few more questions then you will have helped me pass my class!
Answer:
[tex]\boxed{\sf{705.3cm^3}}[/tex]Step-by-step explanation:
To solve this problem, you need to determine the volume of the prism.
Volume of the prism formula:
[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]
L (length): 8 cmW (width): 15.2 cmH (height): 5.8 cmMultiply them all together.
[tex]\sf{8*15.2*5.8=\boxed{\sf{705.3}}[/tex]
Therefore, the volume of the prism is "D. 705.3 cm³", which is our answer.I hope this helps. Let me know if you have any questions.
Answer:
Option D, [tex]705.3\ cm^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume of a rectangular prism
[tex]V = l * w * h[/tex]
[tex]V = (15.2\ cm) * (8\ cm) * (5.8\ cm)[/tex]
[tex]V = 705.28\ cm^3[/tex]
Answer: Option D, [tex]705.3\ cm^3[/tex]
Mr. Davis invested $8,000 in a savings account. The bank pays 4.5% annual compound
interest. Mr. Davis never withdrew nor deposited in the savings account. Which of the
following exponential graphs represents the money y that Mr. Davis has after x years
Answer:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of times periods elapsedGiven:
A = yP = $8,000r = 4.5% = 0.045n = 1t = xSubstitute given values into the equation:
[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]
[tex]\implies y=8000(1.045)^x[/tex]
So the graph will have a y-intercept of (0, 8000)
Calculate the mean and median of the data set below:
8, 9, 2, 4, 5, 11, 7, 9, 10, 9
Answer:
Mean - 7.4
Median - 8.5
Mode - 9
Step-by-step explanation:
Mean - add up all of the numbers = 74
then divided by the numbers of numbers (10 numbers) (74/10) = 7.4
Median - the middle number of the data set
Mode - the number most frequent
In a 51-inch television, the length of the screen's diagonal is 51 inches. If the screen's height is 25 inches,
what is the width? Round your answer to the nearest tenth of an inch.
Answer:
44.452
Step-by-step explanation:
Using the Pythagorean theorem you can use:
51^2 = 25^2 + w^2
2601 = 625 +w^2
w^2 = 1976
w = 44.452
Answer:
The width is 44.5in.
Step-by-step explanation:
25^2 + b^2 = 51^2
625 + b^2 =2601
b^2= 2601-625=1976
Square root it (1976)
=44.45= 44.5
The rectangle of the rectangle is shown 44m squared. Find out the missing length of x
Answer:
12 m
Step-by-step explanation:
3 ⅔
= 3 + 2/3
= 9/3 + 2/3 { LCM = 3 }
= ( 9 + 2 ) / 3
= 11/3
In the diagram,
Length ( l )= x m
Breadth ( b ) = 3 ⅔ m = 11/3 m
Given that area of the rectangle = 44 m²
Formula : -
Area of the rectangle = lb
lb = 44
x * 11/3 = 44
x = ( 44 * 3 ) / 11
x = 4 * 3
x = 12 m
Therefore,
the missing length = 12 m
A number is selected at random from the set (2, 3, 4, . 10}. Which event, by definition, covers the entire sample space of this experiment?
OA. The number Is greater than 2.
O B. The number Is not divisible by 5.
O C. The number Is even or less than 12.
O D. The number is nelther prime nor composite.
O E. The square root of the number Is less than 3.
Reset
Next
s reserved.
This is the list of choices that accompany that question:
A) The number is greater than 2. ---> FALSE BECAUSE IT INCLUDES GREATER THAN 10, AND 10 IS THE LAST NUMBER OF THE SET.
B) The number is not divisible by 5. ----> FALSE BECAUSE 10 IS DIVISIBLE BY 5.
C) The number is even or less than 12. ---> THIS CAN BE RIGHT BECAUSE 1) ALL THE NUMBERS SHOWN ARE EITHER EVEN OR LESS THAN 12 AND THE DEFINITION, AND 2) THE DEFINITION DOES NOT INCLUDE A NUMBER OUT OF THE NUMBERS SHOWN.
D) The number is neither prime nor composite. ---> FALSE BECAUSE ANY NUMBER IS EITHER PRIME OR COMPOSITE.
E) The square root of the number is less than 3. ---> FALSE BECAUSE THE SQUARE ROOT OF 10 IS GREATER THAN 2.
if the Vertical angle of an isosceles triangle is equal to the sum of the base angle find the size of each angle
Answer:
I try my best to give you answer
Find two pairs of prime numbers less than 20 that differ by 4
Answer:
3 and 7,
7 and 11,
13 and 17
Step-by-step explanation:
Prime numbers have exactly two factors, the number itself and 1. This just means that nothing "goes into" these numbers. Example: 7. 7 is a prime number; the only number that goes into 7 is 7 (and 1)
First, find all the prime numbers that are less than 20:
2, 3, 5, 7, 11, 13, 17, 19
Next find the pairs that are 4 units apart. 3 and 7 works.
7 - 3 is 4
Also, 13 and 17 works, and 7 and 11.
Two methods to measure one's heart rate are:
A. Palpitation and monitor
B. Monitor and EKG
C. Palpitation and pulse rate
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
78°
Step-by-step explanation:
the whole measure of a triangle =180° =3angles plus together
the 1st + 2nd angle = 90°+12°=102°
the 3rd angle = 180°-102°=78°
5. A video game console at Games Galore
normally costs $399.50, but all consoles are
marked down by 20% this week. What is the
price of a video game console this week?
Answer:
$319.60
Step-by-step explanation:
Normal Game console cost : $399.50
Discount: %20 (0.20)
$399.50×0.20= $79.90
Total cost of discount $79.90
$399.50-$79.90= $319.60
New cost after Discount= $319.60
What is the complex conjugate of 12i ?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The conjugate of given complex number is ~
[tex]\qquad \tt \dashrightarrow \: \overline{z} = - 12i[/tex]
Conjugate of a complex number is the same number with its imaginary part having opposite sign.
Eg. if z = a + i b
Then it's Conjugate = a - i b
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D
Answer:
ITS (B) 30
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge
Counting techniques
1. A high school basketball has 15 players. In how many different ways can the coach choose the starting line-up?
Answer:
How many players in the starting line up ???
If 1 then its 15 ways
If 2 then its 15 × 14 = ___
If 3 then its 15 × 14 × 13 = ___
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x=11 and t=6
Step-by-step explanation:
If ABC and KLM are approximately equal, 44 degrees=4x and 18 inches=3t.
44/4=11
18/3=6
Shaniqua has 12 apples to divide into "eating" and "using" in apple pie. If she puts at least 3 apples in each group, how many different ways can she divide the apples
Answer:
the answer is 4 i hoped this helped
Step-by-step explanation:
Our competitor struggled to sell 350 products & we sold 46% more than they did
Answer:
The quantity we sold more than the competitors is 161.
What are percentages?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
How much more did we sell?
Quantity sold more = percentage sold more x number sold by competitors
46% x 350
0.46 x 350=161.
Rosie went on a hiking trip. The first day she walked 18 kilometers. Each day since she walked 90% of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day?
Answer:
Rosie has walked 163.8 kilometers by the 10th day,
Step-by-step explanation:
We know that the first day is 18 kilometers.
90% = 0.9
0.9 x 18 = 16.2
There are 9 more days
16.2 x 9 = 145.8
Now we add the first day
145.8 + 18= 163.8
Beau's suitcase weighs 40 pounds. which is NOT a reasonable prediction for the number of items he packed?
A. 39
B.45
C. 31
D. 42
Answer:
B
Step-by-step explanation:
45 items is not a reasonable number, as the suitcase itself probably weighs about 20 pounds, and the likeliness of each item weighing about 1/2 a pound is unreasonable.
Answer:
The answer is 31.
Step-by-step explanation:
Since Beau's suitcase weighs 40 pounds he packed at least 35 items. Anything less than 35 items couldn't be possible.
See attachment. I got it right on my quiz:)
Can someone help me please
Answer:
59.55555555555556
Step-by-step explanation:
*NEED HELP I WILL GIVE BRAINLIEST FOR BEST ANSWER PLEASE HELP ME*
A cylinder has a height of 9 meters and a diameter of 36 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
______cubic meters
Answer:
0.15 cubic meters
Step-by-step explanation:
Formula volume = π x radius² x height
Answer
πr2h
Step-by-step explanation:
What do 12y and 8y represent? You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.