Answer:
1.57Step-by-step explanation:
[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]
Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?
256, 126, 61, 28.5, ....
Plz explain
Answer:
8 th term
Step-by-step explanation:
Continuing the sequence from the last term given (term 4 )
a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25
a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125
a₇ = 0.5 × 4.125 - 2 = 2.125
a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative
The first term to be negative is term 8
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
i’m not able to solve this question
Here are four fractions.
A.
B. § c.
10
Look at the number line below.
Write the letter for each fraction in the correct box.
0.5
Hey! I am not stealing points, but pls complete your question. Which number line are you asking about? Where is the number line image?
Also, where is the option A?
Pls complete your question.
Please help me with this maths homework
Answer:
The transformation is
reflection in the x axis
That's ( x , - y)
Hope this helps.
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
The vertex form of the equation of a parabola is y= 2(x + 4)2- 21.
What is the standard form of the equation?
O A. y = 2x2 + 12x+17
O B. y = 4x2 + 4x + 9
O c. x = 2y2 + 5y + 17
O D. y = 2x2 + 16x+11
Answer:
D. y = 2x2 + 16x+11
Step-by-step explanation:
this is the correct answer, the person above me is incorrect!!
ap ex :)
The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.
Expand the equation, we have
y = 2(x + 4)² – 21
y = 2(x² + 16 + 8x) – 21
y = 2x² + 32 + 16x – 21
y = 2x² + 16x 11
Then the correct option is D.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ2
A 1000 pound boat sits on a ramp inclined at 22 degrees. How much force is pulling down the ramp, and how much force is pressing on a line perpendicular to the ramp?
Answer:
The force pulling down the ramp is 374.6 lb
The force pressing on a line perpendicular to the ramp is 927.1 lb
Step-by-step explanation:
Given;
weight of boat (mg) , w = 1000 lb
angle of inclination of the ramp, θ = 22 degrees.
The force pulling the boat down, which is 'mg' has two components; the parallel component of the force which is pulling down the ramp and the vertical component of the force which is force pressing on a line perpendicular to the ramp
Parallel component of the force, F = mgsinθ
F = wsinθ
F = 1000 sin(22)
F = 1000 x 0.3746
F = 374.6 lb
Vertical component of the force which is force pressing on a line perpendicular to the ramp.
F = mgCosθ
F = wCosθ
F = 1000 x Cos(22)
F = 1000 x 0.9271
F = 927.1 lb
Find the maximum and minimum values by evaluating the equation, C = 4x - 3y at the critical points of the restrictions include the following (picture)
a. minimum: -32; maximum: 45
b. minimum: -45; maximum 32
c. minimum: -45, maximum: -32
d. minimum: 32; maximum: 45
Answer:
fsdfsdf
Step-by-step explanation:
ghlvlc
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
^3 square root of 1
please help
Answer:
1
Step-by-step explanation:
=> [tex]\sqrt[3]{1}[/tex]
=> [tex]\sqrt[3]{1*1*1}[/tex]
=> [tex]\sqrt[3]{1^3}[/tex]
=> 1
Which pair of points have equal x-coordinates
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Which of the following expressions have a quotient of –2? Check all that apply. –12 ÷ –6 –12 ÷ 6 –6 ÷ –3 6 ÷ –3 –6 ÷ 3
Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Answer:
2
4
And 5
Step-by-step explanation:
HELP! 30 POINTS!
Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.
(a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (
b) Use the possibility diagram to calculate the probability that the product of the two numbers is
I) A prime number
ii) Not a perfect square
iii) A multiple of 5
iv) Less than or equal to 21
v) Divisible by 4 or 6
Answer: i) 12.5% ii) 87.5% iii) 23.4%
Step-by-step explanation:
There are two die, each with 8 sides so the total number of outcomes is 8²
i) Product is a prime number --> 2, 3, 5, 7
Since it is a prime we only have the option of one die being a 1 and the other being the prime number.
So possible successful outcomes is: (1, 2), (1, 3), (1, 5), (1, 7), (7, 1), (5, 1), (3, 1), and (2, 1) = 8 options.
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{8}{8^2}=\dfrac{1}{8}=\large\boxed{12.5\%}[/tex]
ii) Not a perfect square. Let's find the probability that it IS a perfect square and subtract that value from the total (64).
Product IS a perfect square --> 1, 4, 9, 16, 25, 36, 49, 64
Possible successful outcomes of a perfect square: (1, 1) (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8) = 8 options.
Product is NOT a perfect square = 64 - 8 = 56 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{56}{8^2}=\dfrac{7}{8}=\large\boxed{87.5\%}[/tex]
iii) Product is a multiple of 5 --> 5, 10, 15, 20, ,25, 30, 35, 40,
Possible successful outcomes of a multiple of 5: (1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (6, 5), (7,5), (8, 5), (5, 8), (5, 7), (5, 6), (5, 4), (5, 3), (5, 2), (5, 1) = 15 options
[tex]\dfrac{successful\ outcomes}{total\ possible\ outcomes}=\dfrac{15}{8^2}=\dfrac{15}{64}=\large\boxed{23.4\%}[/tex]
You are limited to 3 questions on Brainly so hopefully you can follow what I did to answer the last two questions (less than or equal to 21) and (divisible by 4 or 6). If not, please post this question again and state "Need iv and v only".
each of the letters in the word SNOWFLAKE are on seperate cards face down on the table. If you pick a card at random, what is the probaility that the letter on it will fall within the range of "L" and "T" in the alphabet?
Answer:
1:9 probability it will fall on "L" and there is a 0:9 probability it will fall on "T" because "SNOWFLAKE" doesn't have the letter "T" in it.
A t-shirt increased in price by 14. After the increase it was priced at £30. What was the original price of the t-shirt?
Answer:
Either £16 or £26.32 depending on what you meant in the question
Step-by-step explanation:
I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%
If its £14, then the original price is 30-14 = £16
If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.
This means that
£30 = 114%
To make it easier, reduce the 114% to 1 %
1% = 30/114
1% = £0.26316
100% = £26.32 (rounded to 2 decimal places)
Therefore the original price was £26.32
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
(–4, 2)
(–1, 4)
(1, 3)
(2, –3)
Answer:
C 1/3
Step-by-step explanation:
got it right on edge :)
What is the measurement of angle 2 ?
A.140˚
B.40˚
C.50˚
D.220˚
Answer:
im pretty sure 140 because if you take away the seperating line between the given angle and 3 its 180 which if you would do the same to the other side it would be identical. So Try 140
Step-by-step explanation:
It is Option A 140° as the opposite angles are of equal measures in intersecting lines.
x intercept f(x)=(x+4)^2
Answer:
-4Step-by-step explanation:
Given the function f(x)=(x+4)², the x intercept occurs at f(x) = 0, substituting f(x) = 0 into the given equation to get the value of x we have;
[tex]0 = (x+4)^{2} \\[/tex]
Taking the square root of both sides
[tex]\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\[/tex]
Subtracting 4 from both sides of the equation
[tex]x+4-4 = 0-4\\x = -4[/tex]
Therefore the x intercept of the equation is -4
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
[tex]a_{n} = 3(4)^{n-1}[/tex]
Step 3: Plug in 8th term for n
[tex]a_{8} = 3(4)^{7}[/tex]
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
How do you create and use a table to solve problems?
Answer: Organizes Data
Step-by-step explanation:
A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs
Triangle ABC is dilated about the origin by a factor of 2, reflected in the x-axis, rotated 180°, and translated 2 units to the right and 4 units down to form triangle XYZ. Which statement is true? a. The two triangles are congruent because the each transformation is a rigid motion. b. The two triangles are not congruent because the orientation is changed. c. The two triangles are congruent because the orientation did not change. d. The two triangles are not congruent because dilation is not a rigid motion.
Answer:
d. The two triangles are not congruent because dilation is not a rigid motion.
Step-by-step explanation:
Triangle ABC is dilated about the origin b a factor of 2. It is then reflected and translated to form Triangle XYZ.
The new triangle formed is not congruent to ABC because the image is not the same size as the pre-image. It is only rigid transformations that preserve length, however dilation is not a rigid transformation.
Which of these numbers have exactly two factors 7 8 9 10
A B C D
Answer:
A. 7
Step-by-step explanation:
If a number has exactly two factors, 1 and itself, the number is a prime number. The only prime number below is 77= 1*7
8= 1*8= 2*4
9= 1*9= 3*3
10= 1*10= 2*5
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
Please help meh lol.
Answer:111m^2
Step-by-step explanation: