Answer:
c
Step-by-step explanation:
Why is
[tex] \sqrt{2x} [/tex]
is not a polynomial but
[tex] \sqrt{2}x [/tex]
is a polynomial?
Answer:
Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.
Step-by-step explanation:
The exponent of variables in a polynomial should be natural numbers ([tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]\dots[/tex].)
[tex]\sqrt{2\, x}[/tex] is equal to [tex]\sqrt{2}\, x^{1/2}[/tex]. In this expression, [tex]x[/tex] is the variable. Its exponent is [tex]1/2[/tex], which isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is equivalent to [tex]\sqrt{2}\, x^{1}[/tex]. The exponent of variable [tex]x[/tex] is [tex]1[/tex], which is indeed a natural number.[tex]\sqrt{2\, x}[/tex] isn't a polynomial because the exponent of variable [tex]x[/tex] isn't a natural number. On the other hand, [tex]\sqrt{2}\, x[/tex] is indeed a polynomial over the set of real numbers.
Elijah went to the store to buy some coffee. The price per pound of the coffee is $6.75 per pound and he has a coupon for $1.25 off the final amount. With the coupon, how much would Elijah have to pay to buy 4 pounds of coffee? Also, write an expression for the cost to buy p pounds of coffee, assuming at least one pound is purchased.
Answer:
He would have to pay $25.75
[tex]c=6.75p-1.25[/tex]
C is cost, p is pounds
6.75 per pound minus 1.25 with the coupon and you get the cost.
Answer - He would have to pay $25.75
Equation - C = 6.75p - 1.25
please help immediately for brainliest
please do the number 2
Answer:
63.57817848
Step-by-step explanation:
all will be in degrees:
cos 40 sinx - sin 40 cos x = sin(x - 40) by the formula sin(A − B) = sinA cosB − cosA sinB
sin(x - 40) = 2/5
x - 40 = arcsin(2/5)
x - 40 = 23.57817848
x = 63.57817848 degrees
Answer:
x = 63.57817848
x = 196.4218215
Step-by-step explanation:
cos 40 sin x - sin 40 cos x = 2/5
sin x cos 40 - cos x sin 40 = 2/5
Using trig identities sin(α – β) = sin(α) cos(β) – cos(α) sin(β)
sin ( x - 40) = 2/5
Rewriting as m = x-40
sin ( m) = 2/5
Taking the inverse sin of each side
sin ^-1 sin m = sin ^-1 (2/5)
m = 23.57817848
m = 180 -23.57817848 = 156.4218215
now find x
x -40 = m
x = m+40
x = 23.57817848 +40 = 63.57817848
x = 156.4218215 + 40 = 196.4218215
2.16 as a fraction in simplest form
please explain if you can it would help a lot!
Answer:
54/25
Step-by-step explanation:
54/25 is the simplest form of 2.16 when writing as a fraction.
If an atom has 18 positively - charged protons and 18
negatively charged electrons, what is its total charge?
Answer:
THE TOTAL CHARGE WILL BE ZERO.
Step-by-step explanation:
BECAUSE ATOMS ARE NEUTRAL WHEN THE PROTONS AND ELECTRONS HAVE THE SAME CHARGE
HOPE THIS HELPS YOU IF IT DID PLZ CLICK ONTO THANKS AND MARK AS BRAINLIEST
Write an English phrase that would translate into the following mathematical expression. 7z-4
Answer: Four is less than seven times z
Step-by-step explanation:
5. There are 2 green blocks, 3 blue blocks, and 5 yellow blocks in a bag. What is the
likelihood that if one block is randomly chosen it will be either green or blue?
A. Unlikely
B. Likely
C. Certain
D. Equally Likely or Unlikely
Answer:
D
Step-by-step explanation:
equally likely or unlikely because it is 50%
Answer:
It is D hope this helps bud :)
Step-by-step explanation:
4 1/2 + 5 1/2= what
Answer:
10
Step-by-step explanation:
4 1/2 + 5 1/2= 4+5+1/2+1/2=4+5+1=10
Answer:
10Step-by-step explanation:
[tex]4\frac{1}{2}+5\frac{1}{2}\\\\\mathrm{Add\:whole\:numbers}\:4+5:\\\quad 9\\\\\mathrm{Combine\:fractions}\:\frac{1}{2}+\frac{1}{2}:\\\quad 1\\\\=9+1\\\\=10[/tex]
find value of x when one is right angle and other is separated by 2 one of them is 55 (look at the fig for clear details )
Answer:
[tex]\huge \boxed{x=35}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Right angle ⇒ 90 degrees
90 + x + 55 = 180
Subtract 90 and 55 from both sides.
90 + x + 55 - 90 - 55 = 180 - 90 - 55
Simplify the equation.
x = 35
Answer:
x = 35°
Step-by-step explanation:
→ Remember that angles on a straight line add up to 180°
x + 90° + 55° = 180°
→ Collect the whole numbers
x + 145° = 180°
→ Minus 145° from both sides to isolate x
x = 35°
find the slope of the line through the points (-13,15), (20,-7)
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{ - 2}{3} }}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
A ( -13 , 15 ) ⇒( x₁ , y₁ )
B ( 20 , -7 )⇒( x₂ , y₂ )
Finding the slope :
[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
plug the values
⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 - ( - 13)} }[/tex]
We know that, [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 + 13}} [/tex]
Calculate the sum
⇒[tex] \sf{slope = \frac{ - 22}{33} }[/tex]
Reduce the numbers with G.C.F 11
⇒[tex] \sf{slope = \frac{ - 2}{3} }[/tex]
Hope I helped !
Best regards!!
I NEED HELP FAST PLEASE
Answer:
The sum is
[tex]6 \sqrt{5} [/tex]
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
[tex] = 4 \sqrt{5} + 2 \sqrt{5} [/tex]
As their bases are same, simply add them like,
[tex] = (4 + 2) \sqrt{5} [/tex]
[tex] = 6 \sqrt{5} [/tex]
Hope it helps...
Answer: 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
first collect like terms: 4[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] equals to (4+2)[tex]\sqrt{5}[/tex] , then just add 4 and 2 which equals to 6[tex]\sqrt{5}[/tex]
Explain how you can use absolute value to tell wether the sum of two integers is positive or negative
Step-by-step explanation:
Using absolute value to tell wether the sum of two integers is positive or negative.
Suppose we have a positive integer,
x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.
For any integer x, x + (-x) = 0
PLEASEEEEE
Solve for x. A. 13 B. 12 C. 10 D. 7
Answer:
Option (C)
Step-by-step explanation:
"If the two secants are drawn to a circle form an external points then the product of the measures of one secant segment (inside the circle) and its external segment will be equal to the product of measures of the other secant's segments."
By this property,
8(8 + x) = 9(9 + 7)
64 + 8x = 144
8x = 144 - 64
8x = 80
x = 10
Therefore, Option (C) will be the answer.
A delivery driver reported that he was 280 miles away from headquarters.
The driver can expect to travel 50 miles per hour. How long will it take
to return?
Answer:
5.6 hoursStep-by-step explanation:
Using the formula for calculating speed expressed as shown;
Speed = Distance/Time
Given parameters
Distance = 280miles
Speed = 50miles/hour
Required
Time it will take t return
From the formula above, Time = Distance/ Speed
Substituting the given parameters
Time = 280/50
Time = 5.6 hours
Hence the time it will take the driver to return is 5.6hours
Solve for x:
6x + 6 = 3x – 21
Answer:
x = -9
Step-by-step explanation:
6x + 6 = 3x – 21
Subtract 3x from each side
6x-3x + 6 = 3x-3x – 21
3x+6 = -21
Subtract 6 from each side
3x+6-6 = -21-6
3x = -27
Divide by 3
3x/3 = -27/3
x = -9
simplify -4(3-6)+8÷2
Answer: 16
Step-by-step explanation:
multiply -4 onto (3-6) and set 8÷2 off to the side for now
-4(3-6)
-12+24 combine them
12 then solve 8÷2 which is 4
12+4 = 16
2.Show that: (sinΘ + cosΘ)^2 + (sinΘ - cosΘ)^2 = 2
Answer:
Below
Step-by-step explanation:
● A = (sinO +cosO)^2 +(sinO -cosO)^2
●A = sin^2(O) +2×sinO×cosO +cos^2(O)+sin^2O-2×cosO×sinO +cos^2(O)
● A = sin^2(O) +cos^2(O)+sin^2(O)+cos^2(O)
We khow that cos^2 x + sin^2 x = 1
● A = 1+1
● A=2
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water. Lake Ontario has approximately 8,000,000,000,000 gallons of water. How many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water?
Answer:
2500 gallons or water.
Step-by-step explanation:
Atlantic ocean contains 2 x 10¹⁶ gallons of water.
lake Ontario has approx 8 x 10¹² gallons of water.
req'd:
how many lake ontarios would it take to fill the Atlantic ocean in gallons of water?
= 2 x 10¹⁶ gallons of water
8 x 10¹² gallons of water
= 2500 Lake Ontarios to fill The Atlantic Ocean
2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.
Given that,
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water.
Lake Ontario has approximately 8,000,000,000,000 gallons of water or 8 * 10¹².
To determine how many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Lake Ontarios would it take to fill the Atlantic Ocean region
= 2 × 10¹⁶ / 8 * 10¹²
= 0.25 * 10⁴
= 2500 times the gallons of water Lake Ontarios
Thus, 2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ2
Simplifying Square Roots of Negative Numbers √-100 = + i
Answer:
10i.
Step-by-step explanation:
We can rewrite sqrt(-100) as sqrt(-1) multiplied by sqrt(100).
sqrt(-1) is i and sqrt(100) is 10, so sqrt(-100) is 10i.
Answer:
0 + 10i
Step-by-step explanation:
for edge
Michael, Nate, Ben, and Andrew are running a relay race. In order to complete the race, they must run exactly 4 laps. Since Michael is the fastest of the four, he runs 1 1/3 laps. Nate then runs 1/2 lap, followed by Ben running 3/4 lap. How many laps must Andrew run to complete the race? Express your answer as a mixed number.
Answer:
Andrew must run 1 5/12 Laps to complete the race.
Step-by-step explanation:
Total lap run by Michael, Nate, Ben, and Andrew = 4 laps
laps run by Michael = 1 1/3 laps =(3+1)/3 = 4/3 laps
laps run by Nate =1/2 laps
laps run by ben =3/4 laps
Let laps run by Andrew = x
therefore
laps run by Michael + laps run by Nate + laps run by ben + laps run by Andrew = 4 laps
4/3 + 1/2 + 3/4 + x = 4
LCM of 3,2 and 4 is 12
=> (4*4 + 6*1 + 3*3+12x)/12 = 4
=> (16+6+9+12x)/12 = 4
=> 31+12x = 12*4 = 48
=> 12x = 48-31= 17
=> x = 17/12 = 1 5/12
Thus, Andrew must run 1 5/12 Laps to complete the race.
HELPPPP please !!!!!,!!?
Mercury has the greater density than that of Venus .
Answer:
mercury has higher density than venus
A biconditional statement is a conjunction of which two types of statements?
A. Conditional and inverse
B. Converse and conditional
C. Converse and contrapositive
D. Conditional and contrapositive
Answer:
i can confirm its B
Step-by-step explanation:
hypothesis, if and only if, conclusion
Identify the slope and the y-intercept of the linear equation. Y=4x+7
Answer:
Hey there!
The slope of the line is 4, and the y-intercept is (7,0)
Let me know if this helps :)
Is 5 1/
25 rational or irrational? Explain
Answer:
rational
Step-by-step explanation:
Hello!
A rational number can be expressed as a ratio of two numbers in p/q form
A irration number cannot be expressed this way
5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.
Hope this helps!
[tex]\frac{51}{25}[/tex] is a rational number.
Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example
[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]
On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example
π = 3.14159265358979323846…
According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.
Learn more in: https://brainly.com/question/17450097
y
A
B
4
Analyze the pre-image ABCD. What are the vertices of
the final image if T_1,-2y = x is applied to figure
ABCD?
A"
B"(3, 2)
C"
D"
2
D
с
<
*
-2
-2
Answer:
A"(3, 0), B"(3, 2), C"(1, 1), D"(1, -1)
Step-by-step explanation:
Coordinates of A,B,C and D are,
A(2, 4), B(4, 4), C(3, 2) and D(1, 2)
Rule for the reflection over a line y = x,
(x, y) → (y, x)
Therefore, new image of ABCD will be,
A(2, 4) → A'(4, 2)
B(4, 4) → B'(4, 4)
C(3, 2) → C'(2, 3)
D(1, 2) → D'(2, 1)
Rule for translation [tex]T_{-1, -2}[/tex],
(x, y) → (x - 1, y - 2)
By this rule image of A'B'C'D' will be,
A'(4, 2) → A"(3, 0)
B'(4, 4) → B"(3, 2)
C'(2, 3) → C"(1, 1)
D'(2, 1) → D"(1, -1)
HELP!
12. Write a formula to estimate the amount of material required to cover Firm 1’s structure, not including the floor. Explain your reasoning.
** radius = 35, height = 60**
**the shape is a cylinder**
13. Use the formula from question 12 to estimate the amount of material required to cover Firm 1’s structure, not including the floor. Show your calculations.
Answer:
12. The formula to estimate the amount of material required to cover firm 1's structure not including the floor is π·r² + π·r·h
13. 10445.8 unit²
Step-by-step explanation:
12. The given parameters are;
The shape of the firm 1's structure = Cylindrical shape
The radius of the firm 1's structure = 35
Height of firm 1 structure = 60
The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base
The formula for the surface area of a cylinder = 2·π·r² + π·r·h
Removing the area of the base, we have
The surface area of a cylinder excluding the case = 2·π·r² + π·r·h - π·r² = π·r² + π·r·h
The formula to estimate the amount of material required to cover firm 1's structure not including the floor = π·r² + π·r·h
13.
The amount of material to cover firm 1's structure not including the floor = π × 35² + π × 35 × 60 = 10445.8 unit².
Find the sum of 4x^2+3x+24x 2 +3x+2 and 7x^2+7x+37x 2 +7x+3. A
Answer:
146x + 9
unless they have to be seperate not all combined
Jane is saving to buy a cell phone
$35 a month from her allowance
Does it make sense to represent to
and the number of months with a
your answer.
She is given a $100 gift to start and saves
after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved
ne constant rate? Why or why not? Explain.
Answer:
Yes
Step-by-step explanation:
Since it is mentioned that Jane saved $35 in a month from her allowance also the starting amount is $100 and she saved $135 after month
So based on the above information, yes it makes the sense as it represents the relation between the saving amount and number of months considering one constant rate as it she saves the similar money amount for every month
Therefore, it is linear
Q1. Helen can collect 240 flowers in 20 minutes. How many flowers can
she collect in 35 minutes?
Answer:
420 flowers
Step-by-step explanation:
20 minutes = 240 flowers
1 minute =240/20 flowers
35 minutes = (240*35)/20 flowers
The answer is 420 flowers.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Helen can collect 240 flowers in 20 minutes.
You need to find the number of flowers she can collect in 35 minutes.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
1: Find the unit rate of Helen collecting flowers. To find the unit rate, just divide 240 by 20, to see how many flowers she can collect per minute.
2: Multiply the number of flowers Helen can collect in 1 minute by 35 (since 1 times 35 is 35).
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
1: 240 divided by 20 is 12. Helen can collect 12 flowers per minute. The unit rate of Helen collecting flowers is 12 flowers per minute.
2: Since Helen can collect 12 flowers per minute, you need to find out how many she can collect in 35 minutes. To get from 1 minute to 35 minutes, you multiply 1 by 35. So you need to multiply 12 by 35 as well. 12 times 35 is 420. So Helen can collect 420 flowers in 35 minutes.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 31 batteries of each type. (a) How many ways can a total inventory of 31 batteries be distributed among the eight different types
Answer: 12,620,256
Step-by-step explanation:
Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.
Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is [tex]^{n+r-1}C_r=\ ^{31+8-1}C_{31}[/tex]
[tex]=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256[/tex]
Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256