Answer:
"At least" implies "greater or equal to".
Step-by-step explanation:
[tex]-\frac{7}{10} \geq (2k -4)\\[/tex]
The value of the variable k is greater than or equal to 33 / 20.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
-7/10 is at least twice a number k minus 4. Then the inequality is given as,
- 7/10 ≥ 2k - 4
Simplify the inequality, then the value of the variable k will be
- 7 / 10 ≥ 2k - 4
4 - 7/10 ≥ 2k
33 / 10 ≥ 2k
33 / 20 ≥ k
The value of the variable k is greater than or equal to 33 / 20.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The value of β is:
A)60º
B)45º
C)90º
D)30º
E)75º
Answer:
A
Step-by-step explanation:
To solve this problem, it is best to identify the sides (opposite, adjacent, hypotenuse) in terms of β. Since the adjacent side of β is 3 and the hypotenuse is 6, we know that cos(β) = 3/6 = 1/2. That means β = 60º, which is choice A.
If you would like more tutoring in math or other subjects for FREE, check out growthinyouth.org.
Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6. What could her original problem have been? Also it is written in decimals.
Answer:
Could be 11.9 + 2.9 + 4.9 + 5.9
Step-by-step explanation:
All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too
Answer:
it would be Could be 11.9 + 2.9 + 4.9 + 5.9
Step-by-step explanation:
Jeans were $11.50 with a 15% sales tax. What is the sales tax?
Answer:
1.50
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\$ \ 1.725}[/tex]
Step-by-step explanation:
Costing Price = $ 11.50
Tax = 15% of $11.50 :
=> [tex]\sf \frac{15}{100} * 11.50[/tex]
=> [tex]\sf 0.15 * 11.50[/tex]
=> $1.725
So, Sales tax is $1.725
Point A is the terminal point on the unit circle associated with real number pi/5. What are the coordinates of this point?
Answer:
In polar coordinates, we represent the points as:
P = (R, θ)
Where R is the radius and θ is the angle (depending on how you want to work, you can use θ in degrees or radians).
Then in this case we know that we are working with the unit circle, whose radius is R = 1.
And the angle is pi/5.
Then our point will be:
P = (1, pi/5).
Now we also could write it in rectangular coordinates, knowing that for a point (R, θ) we have:
x = R*cos(θ)
Y = R*sin(θ)
Then for our point the rectangular coordinates are:
x = 1*cos(pi/5) = 0.81
y = 1*sin(pi/5) = 0.59
Then the point is (0.81, 0.59)
. Consider the recurrence T(n) = 2n + T(bn/4c) + T(b(3/4)nc), where T(n) = 1 if n < 10. Prove by induction that T(n) = O(n log n). g
Step-by-step explanation:
[tex]$ T(n) = T(\frac{n}{4})+T(\frac{3n}{4})+2n \ \ \; \ n > 10 $[/tex]
[tex]$ T(n) = 0; \ \ n<0 $[/tex]
Therefore,
[tex]$ T(n)= T(\frac{n}{4})+T(\frac{3n}{4})+2n $[/tex]
[tex]$ T(\frac{n}{4})= T(\frac{n}{16})+T(\frac{3n}{16})+(\frac{2n}{4}) \ \ ...(i)$[/tex]
[tex]$ T(\frac{3n}{4})= T(\frac{3n}{16})+T(\frac{9n}{16})+(\frac{6n}{4}) \ \ ...(ii)$[/tex]
[tex]$ \Rightarrow \frac{n+3n+3n+9n}{16} = \frac{16n}{16}$[/tex]
= n
[tex]$ \therefore n+n+n+.... = n \cdot \log_{\frac{4}{3}}n$[/tex]
[tex]$ \therefore T(n) = n \cdot \log_{\frac{4}{3}}n$[/tex]
Miguel cycles at an average speed of 12 km/h.
How far has he travelled if he cycles for 5 and a
quarter hours?
Answer:
63 km
Step-by-step explanation:
Distance = speed x time = 12 x 5.25 = 63 km
what are the coefficients of 8+5x-y
Answer:The coefficients are the numbers that multiply the variables or letters. Thus in 5x + y - 7, 5 is a coefficient. It is the coefficient in the term 5x. Also the term y can be thought of as 1y so 1 is also a coefficient.A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1. ... Example: In ax2 + bx + c, "x" is a variable, and "a" and "b" are coefficients.First of all, coefficent means the number standing in front of a variable.
So, according to the expression, 2 - 5x - 4 + 8, the coefficient is -5.
Why? because it stands in front of the variable.
Step-by-step explanation:
Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 10 feet by 11 feet. How many rolls of wall paper will Samantha need if each roll covers a total of 25 square feet.
Answer:
4.4 rolls of wallpaper
Step-by-step explanation:
Dimensions of Samantha's room= 10 feet by 11 feet
Length= 11 feet
Width= 10 feet
Area of Samantha's room= Length × width
= 11 feet × 10 feet
= 110 square feet
Each roll covers a total of 25 square feet
Total rolls of wallpaper = Area of the room / Area covered by each roll
=110 square feet / 25 square feet
= 4 10/25
= 4 2/5
= 4.4 rolls
Write the following sentence using mathematical symbols. The difference of z and two-thirds is the same as the product of z and two-thirds.
Answer:
Step-by-step explanation:
z - 2/3 = (2/3)z
imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?
Answer:
100NStep-by-step explanation:
If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.
THe net force will the sum total of both forces acting on the desk.
Net force F = F1+F2
Given F1 = +150N and F2 = -50N
Net force F = +150N+(-50N)
Net force F = +150N-50N
Net force F = +100N
Hence the net force on the desk is 100N
PRECALC HELP PLEASE WILL GIVE BRAINLIEST
Answer:
d ⇒ di^(21-22) = -di, facing right from where it was; order doesn't matter
Step-by-step explanation:
For direction defined as 1, i, -1, -i, a left turn is accomplished by multiplying by i. Then "L" left turns will be multiplication by i^L.
A right turn is equivalent to multiplication by -i, so R right turns will be multiplication by (-i)^R.
We know that turning left and turning right are inverse operations of each other, so we can also write a right turn as multiplication by i^(-1). Then R right turns will be equivalent to multiplication by i^(-R).
We know from the commutative and associative laws of multiplication that the order does not matter. So, L left turns and R right turns will be equivalent to multiplication by ...
(i^L)(i^-R) = i^(L -R)
Hence 21 left turns and 22 right turns is equivalent to a turn of ...
i^(21-22) = i^-1 . . . . one right turn
From an initial facing direction of 'd', the final facing direction after these 43 turns is -di.
Juan proyecta alquilar un local para hacer funcionar un gimnasio cuando las normas sanitarias lo permitan. El alquiler mensual es de S/2000, ¿a cuanto equivale el impuesto que debe pagar el dueño por alquilar su local?
Answer:
Si posee una propiedad y la alquila a inquilinos, ¿cómo se gravan esos ingresos?
La respuesta es que los ingresos por alquileres se gravan como ingresos ordinarios. Si está en el tramo impositivo marginal del 22% y tiene $ 5,000 en ingresos por alquiler que declarar, pagará $ 1,100.
Sin embargo, hay más en la historia. Los propietarios de propiedades de alquiler pueden reducir sus cargas fiscales de varias formas. De hecho, una propiedad rentable en alquiler podría no mostrar ingresos, o incluso una pérdida, a efectos fiscales.
Si uno de sus inquilin os le extiende un cheque por $ 1,000 por mes para cubrir su alquiler, se trata de ingresos por alquiler.
El impuesto deducido en el que incurre el propietario depende del tramo impositivo marginal del estado del país. Si el tramo impositivo marginal es del 20%, el impuesto será 20/100 x 2000 = 400
Does a point have any dimensions ?
Answer:
NO
Step-by-step explanation:
Points do not have dimensions.
Answer:
no
Step-by-step explanation:
a(x+b)=g+3f
solve for x
Answer:
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Note that PEMDAS =
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
& is the order of operation.
First, divide a from both sides:
[tex]a(x + b) = g + 3f[/tex]
[tex]\frac{a(x + b)}{a} = \frac{g + 3f}{a}[/tex]
[tex]x + b = \frac{g + 3f}{a}[/tex]
Next, subtract b from both sides to isolate the variable, x.
[tex]x + b (-b) = \frac{g + 3f}{a} (-b)[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
There were 94,172 people at a football game, which digit is in the thousand place in this number
Answer: 4
Step-by-step explanation:
94,172
ten thousands, thousands, hundreds, tens, ones
According to the list of places, 4 is the thousand place in 94,172.
Hope this helps!! :)
Please let me know if you have any question
Answer: In this number, 4 is the thousands place.
Step-by-step explanation:
So we have to find the thousands place in this number:
94,172
Label it:
9 4 1 7 2
ten thousands thousands hundreds tens ones
Therefore, 4 is the thousands place.
Hence, your answer.
Hasan has an annual income of $24,000. He decides to take classes on line and at night so that he can continue to work. After 3 years he gets his degree and immediately starts earning $30,000 per year. If it takes Hasan 6 years to recover his investment for his education, how much did it cost him?
Answer:
$36,000
Step-by-step explanation:
The difference in income is $6000. After 6 years, the extra income totals to $36,000. So that was the cost of the investment.
On Thursday the Meat King Market sold 1,212 pounds of ground beef. On
Friday they sold twice
that amount. On Saturday they only sold 2,137 pounds. How much more
meat did they sell on
Friday than Saturday ?
Answer:
287 pounds
Step-by-step explanation:
1212 X 2= 2424
2424-2137= 287
Fill in the blank.
(5x)2
a0x2
Answer:[tex]a_0=25[/tex]
Step-by-step explanation:
It is given that, [tex](5x)^2=a_0x^2[/tex]
We need to find the value of [tex]a_0[/tex]
As [tex](5x)^2=a_0x^2[/tex]
Solving LHS
[tex]25x^2=a_0x^2[/tex]
Now comparing the coefficients of [tex]x^2[/tex]
In LHS the coefficient of [tex]x^2[/tex] is 25
In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]
It implies that, [tex]a_0=25[/tex]
So, the value of [tex]a_0[/tex] is 25.
For questions 6a & 6b, calculate the mean for each group: 6a) Textbook A 6b) Textbook B Mean: ______________ Mean: ______________ 6) Which class performed better? 7) If the standard deviation for Class A was 26.3 and the standard deviation for Class B was 8.5, which class was more consistent?
Answer:
44 52 95 76 13 94 83 72 55 81 22 25 64
The mean is: 59.7
65 72 48 63 68 59 68 62 75 79 81 72 64
The mean is: 67.4
Enter an algebraic equation for the sentence. Use x as your variable.
The difference between nine times a number and 4 is 23.
Answer:
Step-by-step explanation:
Represent the number by x. Then:
9x - 4 = 23
Simplify and mention the property used: -265 × 52 + 265 ×152
Answer:
0
Step-by-step explanation:
Using bodmas
(-265*52)+(265*152)
(-13780)+(13789)
=0
Answer: 26500
Step-by-step explanation:
Simplify -265 x 52 to -13780
-13780+265 x 152
Simplify 265×152 to 40280
-13780+40280
Simplify
26500
Unfortunately I do not understand the part which mentions "property used"
Is it possible to add a rational number to an irrational number and get a rational
number?
Answer:
no
Step-by-step explanation:
rational numbers are just like negative and positive. If you add a positive number and a negative number together, you are going to get a negative number, so the answer is no.
// have a great day //
The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 325 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
Answer:
D. 153.37 lb
Step-by-step explanation:
I chose C and it said the Correct answer is D
if the radius of the right cylinder is 5 in and the radius of the oblique cylinder is 4 in, they will have the same volume as long as they are the same height.
a. True
b. False
Answer:
False.
Step-by-step explanation:
Recall that the volume of a right cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
And the volume if a oblique cylinder is likewise also given by the formula:
[tex]V=\pi r^2h[/tex]
From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.
solve v = 1/3 bh for b the base of the cone
Answer:
[tex]b = \frac{3v}{h} [/tex]Step-by-step explanation:
[tex]v = \frac{1}{3} bh[/tex]First of all multiply through by 3
That's
[tex]3v = \frac{1}{3} \times bh[/tex]We have
[tex]3v = bh[/tex]Divide both sides by h to make b stand alone
That's
[tex] \frac{bh}{h} = \frac{3v}{h} [/tex]We have the final answer as
[tex]b = \frac{3v}{h} [/tex]Hope this helps you
Can somebody help me with this math problem?
Answer:
i can't give answer because i cant see full graph but plot point A then draw a diagonal line through point M until your in the top right square and the line hits a point
Step-by-step explanation:
Answer: (-11, -5.5)
Step-by-step explanation:
Use Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
Midpoint M= (-9, -3)
(x1, y1)=(-7, -0.5)
-------------------------------------------------
[tex]\frac{x1+x2}{2}[/tex]=-9
-7+x2=-18
x2=-11
---------------------------------------------
[tex]\frac{y1+y2}{2}[/tex]=-3
-0.5+y2=-6
y2=-5.5
(-11, -5.5)
Hope this helps!! :)
Please let me know if you have any question
The question is in the image below.
Answer:
50 degrees
Step-by-step explanation:
What are 3 equivalent fractions for 4/8
Answer:
1/2, 3/6, 7/14
Step-by-step explanation:
Each are 1/2 :)
The 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.
What are equivalent fractions?Equivalent fractions are those fractions that are made up of different numerator and denominator but are equal to the same value.
To find the equivalent fractions of 4/8, multiply the numerator and denominator by the same number.
That is , 4/8 ×2 = 8/16
4/8 × 3 = 12/24
4/8 × 4 = 16/32
Therefore, the 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.
Learn more about equivalent fractions here:
https://brainly.com/question/17220365
Change the following military times to regular times. a. 0215 b. 0532 c. 0045 d. 1842
Answer:
a) 2:15 AM
b) 5:32 AM
c) 12:45 AM
d) 6:42 PM
Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical length of \overline{CD}. CD .
Answer:
[tex]CD = 3[/tex]
Step-by-step explanation:
Given
[tex]CD = x[/tex]
[tex]BC = 5x - 5[/tex]
[tex]BD = 2x + 7[/tex]
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
[tex]BD = BC + CD[/tex]
Substitute the values of BD, BC and CD
[tex]2x + 7 = 5x - 5 + x[/tex]
Collect Like Terms
[tex]2x - 5x - x = -5 - 7[/tex]
[tex]-4x = -12[/tex]
Divide both sides by -4
[tex]\frac{-4x}{-4} = \frac{-12}{-4}[/tex]
[tex]x = 3[/tex]
To determine the length of CD;
Substitute 3 for x in [tex]CD = x[/tex]
Hence;
[tex]CD = 3[/tex]