Answer:
2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Substitute the given values into the expression
2 ( [tex]\frac{1}{16}[/tex] + ([tex]\frac{1}{4}[/tex] )² ) + 5([tex]\frac{1}{2}[/tex] )
= 2 ( [tex]\frac{1}{16}[/tex] + [tex]\frac{1}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]
= 2 ([tex]\frac{2}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]
= 2 ([tex]\frac{1}{8}[/tex] ) + [tex]\frac{5}{2}[/tex]
= [tex]\frac{1}{4}[/tex] + [tex]\frac{10}{4}[/tex]
= [tex]\frac{11}{4}[/tex]
= 2 [tex]\frac{3}{4}[/tex]
√(112) - √(80) / √(20) - √(28) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We need to solve,
[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]
We can write the above mentioned expression as,
[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
Hence,
[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]
Taking common in respective terms,
[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]
On cancelling 4 with 2,
[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]
[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]
Taking (-) common,
[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]
So, (√5 - √7) gets cut,
Hence,
[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]
One eight of a pizza pie is sold for 65 cent. How much will be received
Answer:
I don't know haha
Step-by-step explanation:
Salamat nalang sa points
Answer:
the whole pizza would cost $5.20
Step-by-step explanation:
1/8 = $0.65
8/8 = 1 = $5.20
0.65 × 8 = 5.2
is this what you mean??
please please please answer ill pay you
Answer:
Your answer is :
There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.
Step-by-step explanation:
Hope this helps!
There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.
Reflection RotationTranslationThese transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.
What is the value of the expression3+3⋅72−9⋅103+3⋅72−9⋅10 ?
-7.763 will be the total to the answer.
Ray GI bisects ∠DGH so that m∠DGI is 3x-9 and m∠IGH is 2x + 21. Find the m< DGI.
Answer:
[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]
m<DGI = 80°
[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]
The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The ray GI bisects ∠DGH.
It implies that the new angles are equal in measurement.
⇒ m∠DGI = m∠IGH
⇒ 3x - 9 = 2x + 21
⇒ x = 30
Then, in order to calculate m∠DGI, plug x = 30 in 3x - 9 as,
3 × 30 - 9 = 81
Hence, the measure of angle ∠DGI is given as 81°.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
P(A) is the power set of A. Show that-
(i) P(AUB) = P(A) ∩ P(B) is always true, but
(ii) P(AUB) = P(A) U P(B) may not be always true.
[tex]\large\underline{\sf{Solution-}}[/tex]
Let assume that,
[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]
and
[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]
[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]
and
[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]
We know,
Power set of a set A is defined as set of subsets of A.
So,
[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]
and
[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]
and
[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]
4(3 × 2) + (8 - 3)^2 - 6^2 + 3 × 9 - 2^3 + 1
Show your work
[Thank you]
Answer:
33
Step-by-step explanation:
if its in () its the 1th step and then the rest u can continue
one kilometer is 1000 meters complete the tables what is the interpretation of the constant of proportionality
Answer:
Step-by-step explanation:
Left side:
250=1/4 km (0.25)
12 meters=0.012
1 meter= 0.001
Right side: 5=5000 meters
20=20000 meters
Step-by-step explanation:
Left side: You divide each number by 1 km, and you should get the answer.
Right side: Do the same for the right side. But, instead of division, use multiplication.
show work
please! this is due tmr
Answer:
-120
Step-by-step explanation:
subtract 45 to both sides
m/8 = -15
multiply by 8 on both sides.
with the fraction just multiply by the bottom number to make m by itself.
m = -15*8
m= -120
Answer:
-120
Step-by-step explanation:
30-45= -15
-15×8= -120
How high can Ron lift a feather with his magic?
Answer: 705 cm
Step-by-step explanation:
Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525
centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.
How high can Ron lift a feather with his magic?
Hermione = 3,525 cm
Hermione = 5 × Ron
Substitute Hermione = 3,525 cm into
Hermione = 5 × Ron
3,525 = 5 × Ron
Ron = 3,525 / 5
= 705
Ron = 705 cm
Arden has 7/8th yard of ribbon. What is the maximum number of 1/16th yard-long pieces Marilyn can cut from this ribbon?
Answer:
2/8 is the answer
Step-by-step explanation:
I think the answer
Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1
[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]
Given that,
[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]
and
[tex]\rm \longmapsto\:g(x) = x - 2[/tex]
We know,
Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.
So, using Factor theorem, Consider
[tex]\rm \longmapsto\:p(2)[/tex]
[tex]\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]
[tex]\rm \: = \: 16 - 8 - 4 - 4[/tex]
[tex]\rm \: = \: 16 - (8 + 4 + 4)[/tex]
[tex]\rm \: = \: 16 - 16[/tex]
[tex]\rm \: = \: 0[/tex]
[tex]\rm\implies \:p(2) \: = \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]
[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]
[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]
and
[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]
Now, By using Factor Theorem, Consider
[tex]\rm \longmapsto\:p( - 1)[/tex]
[tex]\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]
[tex]\rm \: = \: - 2 + 1 + 2 + 1[/tex]
[tex]\rm \: = \: 2[/tex]
[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]
u may not understand this but what is 10 g/cm³ a measure of
. is it Volume Mass or density
Y=5x+b
how do i solve for B?
Answer:
Y=5x+b
y-5x=b
B= y-5x
hope this helps
Answer:
b = y-5x
Step-by-step explanation:
y =5x+b
Step 1- Cancelation minus or add the numeric first both side then variable numbers, then variables then exponents ^2 last.
In this case if we were asked to find x we would divide both sides by 5. But we are not asked that and instead asked to find b so we just apply and keep 5x together through add or subtraction.
For exponents we sqrt both sides. But this equation doesnt show any exponents so we stop at -5 each side.
y-5x=b
Step 2 - keep doing to isolate b we have no more to change other than reverse to show b first.
b = y-5x
10 points and a brainliest…plz answer
Answer:
Identify the numerical terms in the following expression
a) x-y+7
b)-18-5 x^2+2y^2.
Step-by-step explanation:
Finally......
Just kidding Im just here to wasting your time
(2,4) is perpendicular to y:2x
Answer:
is a Step-by-step explanation:
combination
A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:
2
+
2
=
4
.equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
ordered pair
Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates
(
x
,
y
)
, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.
solution
1. The value of a variable that makes an equation true.
2. In chemistry, a solution is a homogeneous mixture composed of only one phase.
please help me :)
see image below
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
9. On election day, registered voters go to a polling place to cast their vote. a. In a town, 273,600 votes were cast in an election. 57% of those who were registered voted. How many registered voters are there in the town? b. Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was reduced to 2 units?
clapped
Step-by-step explanation:
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Work out the sum of 2/9 and 5/9 Give your answer in its simplest form.
Answer:
5 4/9
Step-by-step explanation:
Convert a mixed number 2 19
to a improper fraction: 2 1/9 = 2 19 = 2 · 9 + 19 = 18 + 19 = 199
Answer:
7 / 9
Step-by-step explanation:
You cannot simplify this fraction any more. The two fractions have the same denominator you can just add the numerators.
Which of these is NOT discrete data:
A. toppings on a pizza
B. boys in a family
C. temperature outside
D. planks in a deck
Answer:
C. temperature outside
Step-by-step explanation:
Discrete data is information that can only take certain values. ... This type of data is often represented using tally charts, bar charts or pie charts. Continuous data is data that can take any value. Height, weight, *TEMPERATURE* and length are all examples of CONTINUOUS data. = not discrete data
I believe, hope it is correct
Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?
Answer:
50.37
Step-by-step explanation:
True or False?
VERY STUCK!!! PLEASE HELP!!!!
Answer:
I'm pretty sure it's True
Step-by-step explanation:
Congruent triangles are triangles that are the same shape and size. Each triangle has the numbers 71, 47, 62 so I'm assuming the answer is True
Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!
HELPPP PLEASEEE
If θ is 180 degrees and the radius is 4.9 cm, the length should be
A) 10.4 cm
B) 13.6 cm
C) 15.4 cm
D) 16.6 cm
Answer:
15.4 is right ans
Step-by-step explanation:
using this formula θ ×(22÷7÷180)×r
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating
A functionf(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
Answer:
y = -1/2x + b meaning f(x) = -1/2x + b
Step-by-step explanation:
Use two points on the graph that you can find the value of or use Slope = raise/run
let use points (2,0) and (0, 1)
slope = (change in the y-value)/(change in the x-value.
slope = (1 - 0)/(0 - 2)
slope = 1/-2 or -1/2
Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.
slope = raise/run
slope = 1/-2 or -1/2
Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .
y= mx + b
0 = -1/2(2) + b
0 = -1 + b
1 = b
Now write your equation: y = mx +b where m = -1/2 and b = 1
y = -1/2x +b
Simplify the expression using the order of operations. (21−3)÷32
Step-by-step explanation:
(21 - 3) ÷ 32
BIDMAS
Brackets: 21 - 3 = 18
Division: 18 ÷ 32 = (0.5625)
Plzzz help!! just atleast look at my question!! plzz I really need help!
no
Step-by-step explanation:
-2 - -3 doesn't equal -5
Answer:
no
Step-by-step explanation:
-2 - -3 = 1 not 5
A quality manager for a publishing company checks 3 of every 250 books printed for typos. At that rate, how many of every 15,000 books will be checked for typos?
Answer:
Print between 25 - 2,000 books. Your price per book will go down as your quantity increases.
Step-by-step explanation: