Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
What is the smallest number which is reversed when 2 is added to its double?
Answer:
We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.
Step-by-step explanation:
#carryonlearning
Brainlest me please
Find the volume of the prism. An oblique rectangular prism with length of 4 meters and width 7 meters. The height of the prism is 8 and one-half meters.
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]
[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]
[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
Volume of given Rectangular Prism.[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:
[tex]\sf\blue{Length × Width ×Height}[/tex]
So, let's begin:
[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)
[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]
Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]
______________________________
Hope it helps you:)
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which graph represents g(x)?
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)
find the area of a trapezoid
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = [tex]\frac{1}{2}[/tex] × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
b₁ = 6 , b₂ = 4 , h = 3
A = [tex]\frac{1}{2}[/tex] × 3 × (6 + 4) = 1.5 × 10 = 15 cm²
(3)
b₁ = 7 , b₂ = 4 , h = 4
A = [tex]\frac{1}{2}[/tex] × 4 × (7 + 4) = 2 × 11 = 22 cm²
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = \frac{1}{2}21 h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = \frac{1}{2}21 × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
NEED HELP ASAP
In the diagram, m ZAFB = 78°
Which angle is complementary to ZAFB and what is its measure?
Answer:
Angle BFC is complimentary to AFB. Its measure is 12.
Step-by-step explanation:
Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.
Question 5 of 10
Factor the polynomial: x(3x + 5) - 4(3x + 5)
A. -4x(3x + 5)
B. (3x + 5)(x + 4)
C. 4x(3x + 5)
D. (3x + 5)(x-4)
HURRY PLEASE
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Take (3x + 5) common in there :
[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]
[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]
So, choice D is correct
Which of the following polyhedra have the same volume?
Select each geometry shape which have the same volume.
A.
A hemisphere with a radius of 2 cm.
B.
A sphere with a radius of 14 cm.
C.
A cone with a radius of 2 cm and a height of 4 cm.
D.
A cylinder with a radius of 13 cm and a height of 13 cm.
Answer:
A and C
Step-by-step explanation:
We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.
__
A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.
So, the only figures that might have similar volumes are the hemisphere and the cone.
HemisphereV = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³
ConeV = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³
__
The hemisphere (A) and the cone (C) have the same volume.
Let
[tex]Let \\ \displaystyle\sf S = \sum_{k=1}^n \dfrac{n}{n^2+kn + k^2} [/tex] and ,
[tex]\displaystyle \sf T_n =\sum_{k=0}^{n-1}\dfrac{n}{n^2+kn+k^2}[/tex] ,
[/tex]
where n = 1,2,3,4..... Then ,
[tex]A)\quad S_n < \dfrac{\pi}{3\sqrt3} \qquad \qquad B)\quad S_n >\dfrac{\pi}{3\sqrt3}\\\\ C)\quad T_n >\dfrac{\pi}{3\sqrt3}\qquad\qquad D)\quad T_n < \dfrac{\pi}{3\sqrt3}[/tex]
Answer:
A, D
Step-by-step explanation:
You want to know the bound for the values of Sn and Tn, given their definitions as ...
[tex]\displaystyle S_n=\sum_{k=1}^n{\dfrac{n}{n^2+kn+k^2}}\\\\T_n=\sum_{k=1}^{n-1}{\dfrac{n}{n^2+kn+k^2}}[/tex]
ValuesAll we need to do to determine the correct answer choices is evaluate the sums for some value of n.
For n=2, the value of S2 is ...
S2 = 2/(4+2+1) +2/(4+4+4) = 2/7 +2/12 = 19/42 ≈ 0.4524
For n=2, the value of T2 is ...
T2 = 2/(4+2+1) = 2/7 ≈ 0.2857 . . . . . 1/(3n) less than the value of Sn
Both of these values are less than π/(3√3) ≈ 0.6046.
The correct answer choices are ...
A) Sn < π/(3√3)
D) Tn < π/(3√3)
__
Additional comment
For the purpose here, it is not necessary to determine the limiting value of either Sn or Tn. It is only necessary to demonstrate which side of the given value the terms of either sequence lie.
<95141404393>
find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]
*50 points* Pls help. Pls answer both part A and Part B. Look at the picture for question.
Answer:
Eleanor has made an error in Step 1
She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.
Step 1 should be: [tex]x+18=8(2x-6)-18x[/tex]
Correct solution
Given: [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]
Step 1: [tex]x+18=8(2x-6)-18x[/tex]
Step 2: [tex]x+18=16x-48-18x[/tex]
Step 3: [tex]x+18=-48-2x[/tex]
Step 4: [tex]66=-3x[/tex]
Step 5: [tex]x=-22[/tex]
Is the sequence An a function? Why or why not?
Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.
Hope this helps! Have a good day! :)
A vet is preparing a diet for a group of dogs. Each serving should be no larger than 8
ounces and must contain at least 29 units of Nutrient I and at least 20 units of Nutrient II.
The diet will be prepared from a combination of 2 brands, brand A and brand B. Each ounce
of brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of brand B
contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 3 cents/ounce and B
costs 4 cents/ounce. Determine how many ounces of each brand of dog food should be used
per serving in order to meet the given requirements at a minimum cost.
how do I get help with my math work?
Answer:
post your question and someone will respond
Four identical circles are lined up in a row with no
gaps between them such that the diameters for a
segment that is 68 centimeters long. What is the
combined area of all the circles to the nearest
hundredth? Use 3.14 for Pi
Answer: 907.46
Step-by-step explanation:
. Assuming that the pool is 10 ft deep, approximately how many cubic heters of water will this pool hold when filled? (3.3 feet 1 meter)
Answer:
The answer is true
Step-by-step explanation:
hope this helps
Match each value to what it represents. 25 = 32 1. 32 power 2. 5 exponent 3. 2 base
Answer:
The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.
How many different triangles can you make if you are given the measurement for two angles and the length of a side that is NOT shared?
Answer:
One triangle
Step-by-step explanation:
I hope this helps :)
A circle has an area between 100-150 square inches,what are some possible lengths for a diameter of this circle
Answer:
it would range between 11.28379... to 13.819765...
Step-by-step explanation:
the circle's area formula is pi * radius^2
so you make to equation, plugging the 100 and 150 into the circle's area
you get square root of (100/pi) which gets 11.28379... for the area of 100
you do the same with 150 to get square root of (150/pi) which gets 13.819765...
those are the diameter of the circle since the diameter is double the radius which i already multiplied afterwards. so if you need the radius divide the number ive given you
Which of the following is formula that represents The Pythagorean
Theorem?
Look at the diagram for the answer
Hope that helps!
If p(x)=x3-1 then find p(1) and P(-1)
Step-by-step explanation:
p(x)=x³-1
p(-1)=(-1)³-1=(-1)-1=(-2)
p(-1)=(-2)
p(1)=(1)³-1=1-1=0
p(1)=0
i need help with this
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
Solve For X, using the given triangle.
Please answer quick! Also, keep in mind that this uses stuff like sin, cos, and tan. I'm looking for like trig and whatnot, please help!
Step-by-step explanation:
[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]
Answer:
x = 19.8
Step-by-step explanation:
You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.
tan = opposite/adjacent
31tan = x/33
Multiply both sides by 33
33(31tan) = (33) x/33
33(31tan) = x
Find the tan of 31° using a scientific calculator.
tan 31° is about 0.6
Solve for x
33(0.6) = x
x = 19.83
rounded to the the nearest tenth
x = 19.8
b – 12 = 36
A.b = 34
B.b = 48
C.b = 26
D.b = 28
Please helpp!!!!!!!!!!!!!!! I will mark brainlist
Answer:
statements 2 & 5 are true
Step-by-step explanation:
1. False because is a quadratic nonlinear equation
2. True, 4 is the ordered to the origin
3. False, the rate not being linear is not constant
4. False, because when the input is -3 the output is 13
[tex]y = (-3)^{2} +4=9+4=13[/tex]
5. True, y depends on x
Hope this helps
HELPPP PLS .
A cube is 10 inches tall. What is the width of the cube ?
Answer:
Width = 10 inches
Step-by-step explanation:
A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.
NEED AN ANSWER RIGHT NOW I HAVE ALMOST NO TIME PLEASE
The zeros of a quadratic relationship are 3 and 7. The optimal value is -3. Is the optimal value a maximum or minimum? Explain.
TYSM IF SOMEONE HELPS
Answer:
Minimum
Step-by-step explanation:
The zeros of a quadratic equation are the points at which the parabola intersects the x-axis.
[tex]\sf x=3 \implies x-3=0[/tex]
[tex]\sf x=7 \implies x-7=0[/tex]
[tex]\sf \implies y=a(x-3)(x-7)[/tex] (for some constant a)
[tex]\sf \implies y=ax^2-10ax+21a[/tex]
The optimal value is the y-coordinate of the vertex.
[tex]\sf \implies vertex=(x,-3)[/tex]
The x-coordinate of the vertex is the midpoint of the zeros:
[tex]\sf x=\dfrac{7-3}{2}+3=5[/tex]
[tex]\sf \implies vertex=(5,-3)[/tex]
Therefore, the vertex will be in Quadrant IV and so the parabola opens upwards into Quadrant I.
So the optimal value is a MINIMUM since the vertex is the minimum point of the curve.
Additional Information to create the equation of the quadratic
Vertex form of quadratic equation: [tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
[tex]\sf \implies y=a(x-5)^2-3[/tex]
[tex]\sf \implies y=ax^2-10ax+25a-3[/tex]
To find the value of a, compare the constants of both equations:
[tex]\sf 21a=25a-3[/tex]
[tex]\sf \implies -4a=-3[/tex]
[tex]\sf \implies a=\dfrac34[/tex]
So the final equation is:
[tex]\sf factor \ form \implies y=\dfrac34(x-3)(x-7)[/tex]
[tex]\sf standard \ form\implies y=\dfrac34x^2-\dfrac{15}{2}x+\dfrac{63}{4}[/tex]
[tex]\sf vertex \ form \implies y=\dfrac34(x-5)^2-3[/tex]
PLEASE HELP PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Jenna's line would be: C Line L
Step-by-step explanation:
The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)
Which of the following are composite numbers? Select ALL that apply. 4 9 15 3 5 answers.
Answer:
4 and 9
Step-by-step explanation:
Composite numbers are whole numbers that can have more than 2 factors.
What are the domain and range of the function f(x) = 3x + 5
Step-by-step explanation:
Here,let x = 1,2,3 and 4
Then,
Domain =(1,2,3,4)
Again,
f(1)= 3*1 + 5
=3 + 5
=8
f(2)=3*2 + 5
=6 + 5
=11
f(3)=3*3 + 5
=9 + 5
=14
f(4)=3*4 + 5
=12 + 5
=17
Therefore, Range=(8,11,14,17)
Please help me I’m not sure how to answer this problem
Answer:
12/13
Step-by-step explanation:
P(not a queen) = 48/52 = 12/13
Answer:
48/52
Step-by-step explanation:
Out of a 52 card deck there are 4 queens
there is a 48/52 propability you will not be drawn a queen or 92.31% you will not be drawn a queen