Answer:
r = 100
6.5r = 650
Step-by-step explanation:
let r be resistors.
6.5r + r = 750
Simplify:
6.5r + r = 750
7.5r = 750
------ ------
7.5 7.5
r = 100
100 × 6.5 = 650
One resistor is 100 ohms, and he other is 650 ohms.
Hope this helped.
The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
S O L U T I O N :According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size
Let us assume the other resistor's size be x
Here,
The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x
Given that : the sum of two resistors in 750 ohms
1st Resistor + 2nd Resistor = 750 ohms 6.5x + x = 750 ohms7.5x = 750 ohms x = 750/7.5 ohms x = 100 ohmsFINDING SIZE :
First Resistor's Size = 6.5x = 6.5*100 = 650 ohms
Other Resistor's Size = x = 100 ohms
_________________________________[Note : Symbol of ohm is Ω]
13-16 pls I don’t understand
Answer:
13. 1
14. 42
15. 65
Step-by-step explanation:
13.
If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.
Only one number is an integer and has a reciprocal that is an integer, the number being 1.
1/1 = 1
1/1 = 1
Average:
1+1 = 2
2/1 = 1
Therefore the answer is 1.
14.
If we multiply everything by 7x, we'd get
7 + x = 49
subtract 7 on both sides
x = 42
15.
If
pg = 50 and gr = 15
then
pg + gr = 65
factoring that would give you
g(p+r) = 65
I can't see 16 but good luck!
- 6 x 8 - (4)² - (-72)
Answer:
[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]
(a) An angle measures 40°. What is the measure of its complement?
(b) An angle measures 63°. What is the measure of its supplement?
Answer:
see below
Step-by-step explanation:
Complements add to 90 degrees
x+40 = 90
x = 90-40
x = 50
Supplements add to 180
y+63 =180
y = 180-63
y = 117
If the sum of the measures of two angles is 90° they are known as complementary angles.
Let the value of unknown angle be x.According to the question
⇨x + 40° = 90°
⇨x = 90° - 40° [Subtract]
⇨x = 50°
Complement angle is 50°
____________________(b)If the sum of the measures of two angles is 180° they are known as supplementary angles.
Let the value of unknown angle be x.According to the question
⇛x + 63° = 180°
⇛x = 180° - 63° [Subtract]
⇛x = 117°
Supplement angle is 117°
If the sum of the measures of two angles is 90° they are known as complementary angles.
Let the value of unknown angle be x.According to the question
⇛x + 40° = 90°
⇛x = 90° - 40° [Subtract]
⇛x = 50°
Complement angle is 50°
____________________(b)If the sum of the measures of two angles is 180° they are known as supplementary angles.
Let the value of unknown angle be x.According to the question
⇨x + 63° = 180°
⇨x = 180° - 63° [Subtract]
⇨x = 117°
Supplement angle is 117°
Pls help I am giving brainliest help me ASaP
Answer:
4
Step-by-step explanation:
4 because 4^2 = 16.
Look at this cylinder:
If the radius and height are doubled, then which of the following statements about its surface area will be true?
We know
[tex]\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2[/tex]
Now
New Radius=2(4)=8cmNew Height=2(8)=16cm[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2[/tex]
So
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}[/tex]
Hence our correct option is Option C
x^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
I will give BRAINLIEST.
If x4≤f(x)≤x2 for x in [−1,1] and x2≤f(x)≤x4 for x<−1 and x>1, at what points c do you automatically know limx→c f(x)? What can you say about the value of the limit at these points?
You would know that
[tex]\displaystyle\lim_{x\to\pm1}f(x)=1[/tex]
It follows from the sandwich/squeeze theorem: for instance,
[tex]x^4 \le f(x) \le x^2 \implies \displaystyle\lim_{x\to-1}x^4 \le \lim_{x\to-1}f(x) \le \lim_{x\to-1}x^2 \implies 1 \le \lim_{x\to-1}f(x) \le 1 \\\\ \implies \lim_{x\to-1}f(x)=1[/tex]
what is the volume of the cone below?
Answer:
96 pi
Step-by-step explanation:
The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
d
Step-by-step explanation:
Answer:
D
because the least popular thing that was sell at the bake sale is the corn muffins
hope this helps!!!
Work out an estimate for the value of
41.2 x 19.8
——————-
0.49
Answer:
820
Step-by-step explanation:
41.2 * 19.8 = 41 *20 = 820
41.2
In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41
19.8
In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.
19+1 = 20
Which of the following phrases are inequalities?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
5=\dfrac{55}{11}5=
11
55
5, equals, start fraction, 55, divided by, 11, end fraction
(Choice B)
B
-2<2\text{}−2<2minus, 2, is less than, 2, start text, end text
(Choice C)
C
10-6q10−6q10, minus, 6, q
(Choice D)
D
7w>5.6\cdot 10^{4}7w>5.6⋅10
4
7, w, is greater than, 5, point, 6, dot, 10, start superscript, 4, end superscript
(Choice E)
E
f-4-7>7-4-ff−4−7>7−4−f
Answer:
B,D, and E
Step-by-step explanation:
Yes
A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?
Answer:
$28.5
Step-by-step explanation:
Write three integers that do not ali have the same sign that have a sum
of -20.
Bao Yu is completing the square to solve the polynomial equation.
x2 – x – 3 = 0
What should be her first step?
adding –x to both sides of the equation
adding –3 to both sides of the equation
isolating the first term, x2
isolating the constant, –3
[tex]\\ \sf\longmapsto {x}^{2} - x - 3 = 0 \\ \\ \sf\longmapsto {x}^{2} - x = 3 \\ \\ \sf\longmapsto 4( {x}^{2} - x) = 4 \times 3 \\ \\ \sf\longmapsto 4 {x}^{2} - 4x = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 = 12 \\ \\ \sf\longmapsto {(2x)}^{2} - 2 \times 2x \times 1 + {1}^{2} = 12 + 1 {}^{2} \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 12 + 1 \\ \\ \sf\longmapsto {(2x - 1)}^{2} = 13 \\ \\ \sf\longmapsto 2x - 1 = \pm \sqrt{13} \\ \\ \sf\longmapsto 2x = 1 \pm \sqrt{13} \\ \\ \sf\longmapsto x = \frac{1 \pm \sqrt{13} }{2} [/tex]
Bao Yu first step to solve the equation is,
⇒ adding –3 to both sides of the equation
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polynomial is,
⇒ x² - x - 3 = 0
Now,
We can solve the equation as;
⇒ x² - x - 3 = 0
⇒ x² - x - 3 + 3 = 3
⇒ x² - x = 3
⇒ x² - x + 1/4 = 3 + 1/4
⇒ (x - 1/2)² = 13/4
⇒ x - 1/2 = ±√13 / 2
⇒ x = ±√13 / 2 + 1/2
Hence, Bao Yu first step to solve the equation is,
⇒ adding –3 to both sides of the equation
Learn more about the mathematical expression visit:
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A
1
-4
-3
-2
-1
0
00
-1
-2.
The distance AB rounded to the
nearest tenth = [?]
Hint: d = V(x2 – x1)2 + (y2 - yı)2
Answer:
2.8
Step-by-step explanation:
use the distance formula in the picture:
[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]
Answer:
AB ≈ 2.8
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)
d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]
= [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]
= [tex]\sqrt{2^2+4}[/tex]
= [tex]\sqrt{4+4}[/tex]
= [tex]\sqrt{8}[/tex]
≈ 2.8 ( to the nearest tenth )
Which of the following are the correct steps to solve the equation below?
5x + 9 = 39
A----Add 9 first and then divide by 5
B----Add 9 first and then multiply by 5
C-----Subtract 9 first and then divide by 5
D----Subtract 9 first and then multiply by 5
For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:
There is no a that will make f(x) continuous.
No matter what value of a you pick, you will always have the one-sided limits,
[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
but f(a) = 8 regardless of a.
Andrew has a coupon for 20 % off of the price of any CD. If he purchases a CD originally priced at $16, what will the discounted price be?
Solve the above problem by using decimals.
Answer:
If you want to turn a percentage into a fraction divide by 100:
20%/100 = 0.2
0.2*16 = 3.2$
and if you want to turn a decimal into a fraction multiply by 100.
His discounted price will be 3.2$.
Have a nice day! :-)
and if you have questions please ask!
Percentage is the part of a whole given as a fraction of the hundred. The discounted price of the CD is $12.8.
Given information-
Andrew has a coupon for 20 % off of the price of any CD.
The price of the CD purchased by the Andrew is $16.
PercentagePercentage is the part of a whole given as a fraction of the hundred.
As the Andrew has a coupon of 20 percent, the 20 percent will be off whatever he buys. Now the discount price for the $16 priced CD is equal to the 20 percent of the 16. Thus the discount is,
[tex]d=\dfrac{16\times20}{100} \\ [/tex]
[tex]d=3.2[/tex]
Thus the discount on the CD is 3.2.
Now the discounted price of the CD is equal to the difference of the price of the CD and the discount. Thus the discounted price of the CD is,
[tex]P=16-3.2[/tex]
[tex]P=12.8[/tex]
Thus the discounted price of the CD is $12.8.
Learn more about the percentage here;
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Can someone help? I also have 4 more problems.
Answer:
.0853
.8770
.9370
.0045
.4898
Step-by-step explanation:
Just go to a ztable and match the values (I've attached the one i use below)
if it's negative subtract one
if it's z># then subtract one
so for 1.37 go to the table and find the value (.8770) and subtract 1
Go to 1.16 on the z table (.8770), subtract 1 (1-.8770) and then do it again
for the last one you need to take a z value of 0 (.5) and then the value for 2.32 (.9898) and subtract them
.9898-.5=.4898
Help with this question please!!!!
Answer:
I think that the answer is 5
evaluate 3a+2b
a=2
b=3
Answer:
12
Step-by-step explanation:
3a+2b
Let a =2 and b=3
3(2) + 2(3)
6 + 6
12
PLEASE HELP!! Which of the following demonstrates the commutative property across multiplication for 2 x 10 x 7
A.(2 x 10) x 7
B. 10 x7 x 2
C. 2 +10 x 7
D 2 x (10 x 7)
Ayuda con esto de geometría
Answer:
Baba
Step-by-step explanation:
Booey
Shannon is planning to tile a rectangular kitchen countertop that is 24 inches wide and 64 inches long. She determined that 1 tile will be needed for each 4-inch-by-4-inch region. What is the minimum number of tiles that will be needed to completely cover the countertop to its edges
Answer:
96
Step-by-step explanation:
[tex]\frac{24*64}{4*4}=96\\[/tex]
or
[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]
The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.
Area of kitchen,
A(k) = 64 x 24 = 1536 Square inches
Area of a tile,
A(T) = 4 x 4 = 16 square inches.
Divide the area of the kitchen by the area of a tile.
N = 1536 / 16 = 96 tiles
Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.
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U= a/k, for a. I really don’t get this whole topic an in depth explanation would be great thanks!
Answer:
ku=a
Step-by-step explanation:
We are given
[tex]u = \frac{a}{k} [/tex]
and we need to solve for a. First let multiply k by both sides to isolate a.
[tex]ku = a[/tex]
Classify each number as an integer or a not an integer.
-2.5
Integers
Not Integers
3
1²
8.1
-5
0
9514 1404 393
Answer:
integers: 3, -5, 0
non-integers: -2.5, 1/2, 8.1
Step-by-step explanation:
A non-integer is any real number with a non-zero fractional part.
integers: 3, -5, 0
non-integers: -2.5, 1/2, 8.1
Answer:
integers: 3,-5,
not integers: -2.5,1/2,8.1
Step-by-step explanation:
points V W X Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ find the indicated length
21.) WX 22.) VW 23.) WY 24.) VX 25.) WZ 26.) VY
Answer:
WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42
Step-by-step explanation:
1)WX=XY=XZ/2=20/2=10
2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22
3)WY=WX+XY=2*WX=2*10=20
4)VX=VW+WX=22+10=32
5)WZ=WX+XY+YZ=3*WX=3*10=30
6)VY=VZ-YZ=52-10=42
The points V, W, X, Y and Z are collinear. The indicated lengths are
[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]
Given :
points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ
Lets make diagram using the given information
The diagram is attached below
XY=YZ
XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]
[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]
Now we find out VW
[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]
Now we find the indicated length
[tex]WX =10[/tex]
[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]
Learn more : brainly.com/question/17208040
PLEASE HELP I NEED AN ANSWER QUICK
Answer:
- first option is incorrect
- second option is correct
- third option is correct
- fourth option is correct
Step-by-step explanation:
grammarly xoxo
if x = 3+root8 find the value of :- 1/x
Answer:
Value is 3 - √8
Step-by-step explanation:
[tex]x = 3 + \sqrt{8} \\ \\ \frac{1}{x} = \frac{1}{3 + \sqrt{8} } \\ [/tex]
rationalise the denominator:
[tex] = \frac{1}{3 + \sqrt{8} } . \frac{3 - \sqrt{8} }{3 - \sqrt{8} } \\ \\ = \frac{3 - \sqrt{8} }{ {3}^{2} - {( \sqrt{8}) }^{2} } \\ \\ = \frac{3 - \sqrt{8} }{9 - 8} \\ \\ = 3 - \sqrt{8} [/tex]
PLZ HELP ME ASAP PLZ
Answer:
Perpendicular bisector
Step-by-step explanation:
The construction is of a perpendicular bisector, because the line in bisected and the angle formed by the bisector is a right angle.
