Answer:
D
Step-by-step explanation:
1/2 hour -> 1/3 pool
multiply this by 2
1 hour -> 2/3 pool
so D 2/3 pool
The fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.
What is a Constant Rate?A constant rate can be described as a quantity that changes steadlity over time.
The rate that the pool gets filled is given as:
1/2 hr = 1/3 of the water that would be filled in the pool
1 hr would be: 1/3 × 2 = 2/3
Therefore, the fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.
Learn more about rate on:
https://brainly.com/question/25184007
Triangle PQR is shown, what is the value of x?
Answer:X = 13
Step-by-step explanation:
An exterior angle is equal to the sum of the two opposite interior angle
⇒95=4x+3 + 3x+ 1
95=4x + 3x + 3 + 1
95=7x + 4
95-4=7x
91=7x
91/7=x
13=x
This implies that X= 13
The graph of a function g is shown below.
Find g (2) and find one value of x for which g(x) = -2.
Answer:
a. 1
b. 1
Step-by-step explanation:
by looking at the graph you can deduce the answer.
The equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The equation for the function is,
g(x) = x²-3
The graph of a quadratic function that has something bowl-shaped. Any equation of the form ax²+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
To find the value of g (2) the value of the function is,
g(2) = 2²-3
g(2) =8-3
g(2) =5
Thus, the equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
What is the approximate volume of the cone? Use 227
22
7
for π. Enter your answer in the box.
Answer:
132 cm³
Explanation:
[tex]\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2h[/tex]
put radius: 3 cm, height: 14 cm, π as 22/7
[tex]\sf \rightarrow \dfrac{1}{3} *\dfrac{22}{7} * (3)^2(14)[/tex]
[tex]\sf \rightarrow 132 \ cm^3[/tex]
please help me i need to solve for x
Answer:
1.732i (complex form)
its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct
Step-by-step explanation:
Find x. Perimeter.
What is the value of x?
What is the perimeter of this triangle?
Step-by-step explanation:
the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.
and that applies to all 3 vertexes.
so, we know for the top left vertex the distance to both touching points is 4.
that means the distance to the touching points from the bottom left vertex is 7-4 = 3.
and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.
so, x = 13
it is the distance to one of the touching points for the bottom right vertex.
and the perimeter of the triangle is therefore
7 + 16 + (13 + 4) = 40
What is 3/5 1/2 because my answer is 7/10 and my teacher said it's wrong
Answer:
If you want to multiply then,
3/5 × 1/2 = 3/10 or 0.3
If you want to Add then,
3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1
If you want to subtract then,
3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1
If you want to Divide then,
3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5
Find the measure of the arc or angle indicated
Answer:
D) 130
Step-by-step explanation:
So there are three arc sections in this problem,
The first one is given: 158
To find the arc between S and R, you can use the angle of point T and double it.
So:
36 * 2 = 72
The second arc is 72
Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle
Like so:
360 - (158 + 72) = 130
Answer:
130
Step-by-step explanation:
There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X
Answer:
5
Step-by-step explanation:
19-14=5
for the Tape diagram just make 19 boxes and fill in 5.
Noah says, "If I try to write ten to the zero power expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
No, I do not agree. This is because 10⁰ is equivalent to 1.
Step-by-step explanation:
any number to the power of 0 is equal to 1
help me!!Write a function using correct notation that models the value of each car.
Answer:
[tex]f(x) = 2000 * 1.05^x[/tex]
Step-by-step explanation:
The key to this question is interpreting the graph and then modelling it into an exponential function.
You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)
Now refer to the standard form of an exponential function.
[tex]y = a * b^x[/tex]
Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000
So you got your a value. Sub it into the equation and now you got.
[tex]y = 2000 * b^x[/tex]
You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.
[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]
Now you have your a and b values. Now you can express using a function:
[tex]f(x) = 2000 * 1.05^x[/tex]
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?
Answer:
centre (5, 6 ) , r = [tex]\sqrt{37}[/tex]
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = [tex]\sqrt{37}[/tex]
Toni typed 600 words in 1hour, 250 words in 20 minutes and 480 words in 40minutes. How many words did Toni typed in 2 hours?
a 1 113 words
b 3 113 words
c 1 330 words
d 1 130 words
1hour=600
2hour=600+600
=1200words
jimmy has 27 apples and there are 9 houses. he feeds the same number of apples to each horses. how many apples dose jimmy feed to each horse?
-------------------------------------------------------------------------------------------------------------
Answer:
The answer is, Jimmy, fed the horses 3 apples each.
27 apples divided into the 9 horses
27 ÷ 9 = 3
If you had 27 seven apples and you individually gave one apple to each of the 9 horses each horse would end up having 3.
-------------------------------------------------------------------------------------------------------------
SOMEONE PLSLPLSSLSLS HELP ITS JUST 3 QUESTIONS BRO PLEASE ITS SO CONFUSING ILL BRAINLIST.
The length and width of a rectangle is 3x + 4 and x + 3 respectively.
a) write the perimeter of the rectangle in simplified form.
b) find the perimeter of the rectangle if x = 5.
c) the area of a rectangle is given by the formula area = length x width. Find the area of this rectangle when x = 4.
Step-by-step explanation:
a) Perimeter is equal to 2w + 2L
2(3x + 4) + 2(x + 3)
6x + 8 + 2x + 6
8x + 14
b) Put 5 in x's place
8×5 + 14
40 + 14
54
c) Area = (3x + 4) * (x + 3)
Put 4 in x's place
(3×4 + 4) * (4 + 3)
12 + 4 * 7
16 * 7
112
Can someone solve this?
Step-by-step explanation:
First box =25
Second Box = 0.25
Precal unit 4 sample work-
I need help converting the polar to rectangular. I already solved just needing to convert it.
Thank you!
Answer:
(3√26, 0)
Step-by-step explanation:
Finish your work by evaluating the sine and cosine. The imaginary part corresponds to the y-coordinate in (x, y) form.
3√26(cos(360°) +i·sin(360°)) = 3√26(1 +0i)
In rectangular form, that is ...
(3√26, 0)
HELP MeMe M3 i dont get it
What is the value of x? (angle bisector problem)
Answer:
47Step-by-step explanation:
According to angle bisector theorem we get the following ratio:
VT/KT = VY/KYSubstitute the lengths and solve for x:
77/87.5 = 22/(x - 22)77(x - 22) = 87.5*2277x - 77*22 = 192577x = 1925 + 169477x = 3619x = 3619/77x = 47Use angle bisector theorem
77/87.5=22/x-2277x-1694=192577x=3619x=3619/77x=47What is the circumference
help please :) help
Answer:
6
Step-by-step explanation:
4 time one is 1
plug in 1 for m
and you got 4 - -2
witch both negatives make a positive
BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =
Answer:
Step-by-step explanation:
9.23
It is given that AB CD Identify the postulate that proves the triangles are congruent
Answer:
i can't see the multiple choice
Step-by-step explanation:
angle c and b are equal
angle a and d are equal
and you have a common angle o
and ab = cd
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
It is given that AB || CD. The side AB is congruent to the side CD.
The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.
And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
2,7, 12, ...
Find the 46th term.
Given is an A.P. in which -
First term,a = 2Common difference = Second term - First term[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = a_2-a_1[/tex]
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 7-2 [/tex]
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad = 5[/tex]
Solution:-nth term of an A.P ,is given by-
[tex]\green{ \underline { \boxed{ \sf{a_n =a+(n-1)d }}}}[/tex]
where
[tex]a_n = nth \;term[/tex]a = first termn = number of termd = common differencePutting n = 46
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + (46-1)\times 5 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 45\times 5 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 2 + 225 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \sf a_{46}= 227 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, the 46th term is 227
Hence, the [tex]46th[/tex] term is [tex]227[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is
[tex]2,7, 12,...[/tex]
Here,
[tex]a=2[/tex]
[tex]d=a_2-a_1\\d=7-2\\d=5[/tex]
The general formula of the sequence is
[tex]a_n=a+(n-1)d[/tex]
where,
[tex]a_n=[/tex] nth term
[tex]a[/tex] is the first term
[tex]d[/tex] is the common difference
[tex]n[/tex] is the number of terms
Now substituting the values in general formula is
[tex]a_{46}=2+(46-1)5\\\\a_{46}=2+(45)5\\\\a_{46}=2+225\\\\a_{46}=227\\[/tex]
Hence, the [tex]46th[/tex] term is [tex]227[/tex].
To know more about the sequence
https://brainly.com/question/28615767
#SPJ2
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem such that the quotient is the same as 3/7 divided by 5/14
.
Answer:
6 6
---- ÷ ---
16 10
Step-by-step explanation:
equals 5/8
John drove 737 miles in 11 hours At the same rate, how many miles would he drive in 5 hours?
Answer:
Step-by-step explanation: 737/ 11= 67
sooooo 67 x 5= 335
Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.
Part B: Are these figures congruent? how do you know?
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
Find out more on transformation at: https://brainly.com/question/4057530
what is the answer for this also?
Answer:
64 cm^3
Step-by-step explanation:
V = lwh
V = 4 x 4 x 4
V = 64 cm^3
Hope this helps!
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{volume \: of \: square = {x}^{3} }[/tex]
[tex] \mathsf \pink{v = {4}^{3} }[/tex]
[tex] \mathsf \purple{v = {64cm}^{3} }[/tex]
What is the area and circumference of the circle? diameter = 12 cm
Answer:
Circumference = 7.68 cm
Area = 113.04 cm²
Step-by-step explanation:
First, let us find the radius of the given circle.
d = 2r
r = d / 2
r = 12 / 2
r = 6 cm
And now, let us find the circumference of the circle using the below formula.
C = 2 π r
C = 2 × 3.14 × 6
C = 37.68 cm
And now let us find the area of the circle using the below formula.
A = π r²
A = 3.14 × 6 × 6
A = 113.04 cm²
Model this equation using a visual model.
4x + 8.46 = 2x + 15.62
Which property can be used to solve the equation?
5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer:
Division property of equality
Step-by-step explanation:
If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.
Answer:Division property of equality
Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.