Answer:
C
Step-by-step explanation:
you find the variable
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?
Parallel Perpendicular Neither
Line M, with slope3/4 Line N, with slope 4/3 Line P, with slope -4/3 Line Q, with slope -3/4
Given:
The slope of a line is [tex]-\dfrac{3}{4}[/tex].
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?
Answer:
$95.52
Step-by-step explanation:
Number of robots = 3
Cost of each robots = $398
Tax rate = 8%
Amount of tax of each robots = 8% of $398
= 8/100 × $398
= 0.08 × $398
= $31.84
TOTAL TAX to be paid = Amount of tax of each robots × Number of robots
= $31.84 × 3
= $95.52
TOTAL TAX to be paid = $95.52
2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
How far apart are -14 1/2 and 2 on the number line
Please i need the correct answer, no funny business.
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of C-14
[tex]N_0[/tex] = Initial amount
[tex]k[/tex] = 0.0001
[tex]t[/tex] = Time in years
If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]
[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]
[tex]0.53=e^{-0.0001t}[/tex]
[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]
[tex]-0.634878=(-0.0001)t[/tex]
[tex]t=6348.78[/tex] years
[tex]t[/tex] ≈ [tex]6349[/tex] years
Therefore, age of the spear head = 6349 years.
Please help!!!!!!!!!!!!!!
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
You need to design a rectangle with a perimeter of 11 cm. The length must be 2.8 cm. What is the width of the rectangle? (You might want to draw a picture.)
a) Let w = the width of the rectangle. Write the equation you would use to solve this problem.
Step-by-step explanation:
p = 2×( l+w)
p = 2×l + 2×w
=> 2×w = p - 2×l
w = (p - 2×l) / 2
w = (11 - (2×2.8))/2
= (11- 5.6)/2
= 5.4 /2
= 2.7 cm
factor x^2-3x-28 using the x method
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
Amanda asked each student in her class: How many pets do you have? The data collected is below.
Amanda's Class: 0, 0, 2, 1, 1, 0, 5, 0, 3, 2, 1, 1, 0, 2, 4, 0, 2, 1, 1, 1, 2, 3, 1, 0, 2
Charley asked the same question to each student in his class (which is no
class as Amanda's). The data he collected is below.
Charley's Class: 1, 2, 1, 3, 1, 1, 0, 0, 1, 0, 0, 2, 3, 1, 2, 5, 2, 0, 0, 4, 1, 1, 2, 0, 0, 1, 1
Whose class had a larger percentage of students with no pets?
Answer:
Charley's class.
Step-by-step explanation:
There are 25 students in Amanda class and 27 in Charley's.
Number of students with no pets in Amanda's = 7 which is 100 * 7/25 = 28%.
In Charley's class this is 8 which is 100 * 8/27 = 29.6%.
Answer:
Charley's class
Step-by-step explanation:
Amanda's class has 7 students with zero pets out of 25 total students. Charley's class has 8 students with zero pets out of 27 total students.
7/25 = 28% with zero pets
8/27 = around 30% with zero pets
Charley's class has a larger percentage of students with no pets
Find the volume of this solid.
Answer:
Step-by-step explanation:
area of side surface=50×20+20×35=1000+700=1700 m²
voume of solid=1700×12=204,00 m³
simplify.
[tex] {y }^{ - 3} [/tex]
Options:
3/y
-1/y^3
-3y
1/y^3
Answer:
Rewrite the expression using the negative exponent rule [text]{b}^{-n } = 1/bn
Step-by-step explanation:
1/y^3
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
Need helppppp I’m stuckkkk
Answer:
b) 94
Step-by-step explanation:
The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.
68+26+x=180.
x is the complementary angle of the "?" angle.
Solve the equation.
94+x=180
x=86
Then Subtract 86 from 180 to find "?"
180-86=94
I hope this helps!
Answer:
94;b
Step-by-step explanation:
68+26=94. 180-94=86. 180-86=94.
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
The heights of 200 adults were recorded and divided into two categories
Which two-way frequency table correctly shows the marginal frequencies
Answer:
C
Step-by-step explanation:
male total= 98
female total =102
total total=200
Someone plz help me on this one
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side/ adj side
tan ? = 40 / 10
tan ? = 4
Taking the inverse of each side
tan ^ -1 (tan ?) = tan ^-1(4)
? =75.96375653
To the nearest degree
? = 76
If 12 is the greatest common factor of y and 36, how many possible values for y are in between 20 and 80 ?
Answer: 3
Step-by-step explanation: I don’t have an explanation but I got the same question on a quiz and 3 was the correct answer.
the possible values for y are in between 20 and 80 will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
If 12 is the greatest common factor of y and 36.
The value of y will be a multiple of 12 and greater than 36.
Then the numbers will be
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
Then the possible values for y are in between 20 and 80 will be 3.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
the inverse of f(x) is a function true or false
Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X
[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]
The missing side is 53.6 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown.
The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:
sin(θ) = opposite / hypotenuse
Here, θ = 66°
Using the sine ratio in the given triangle, we get
sin 66° = perdenicular/hypertanuas
Substitute the known values in the above ratio,
sin 66° = 49/x
x = 49/sin 66°
x = 53.63717
Rounded to the nearest tenth,
x ≈ 53.6
Thus, the missing side is 53.6 units for the given right triangle.
Learn more about the right triangle here:
https://brainly.com/question/11899922
#SPJ7
If a point is chosen inside the square, what is the probability that it will also be inside the circle?
Answer:
[tex]79\%[/tex]
Step-by-step explanation:
The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.
Formulas used:
Area of a square with side length [tex]s[/tex] is given by [tex]A=s^2[/tex] Area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:
Area of square: [tex]A=2^2=4[/tex]
Area of circle:
[tex]A=1^2\pi=\pi[/tex]
Therefore, the probability that the point will be inside the circle is:
[tex]\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}[/tex]
Write as an equation: a triangle has two equal sides and a third side that is 15cm long. How long is each of the equal sides if the perimeter is 50?
Answer:
Step-by-step explanation:
X+x+15=50
On a world , the distance between city A and city B is 5,625 inches. The two cities are actually 1688 miles apart. On the same , what would be the distance between city C and city D, two cities that are actually 1296 miles apart? Use a proportion to solve this problem.
Answer:
The distance between C and D is 4.2768 inches.
Step-by-step explanation:
As from A to B the distance is 5.625 inches and actual is 1688 miles
so,
1 mile = 5.625/1688 = 0.0033 inches
So, the distance between C and D is 1296 miles
= 1296 x 0.0033 inches = 4.2768 inches
I need to know the transformation of the shape
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
match the absolute value functions with their vertices
which expression is equivalent to 13-(-18)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{13 - (-18)}[/tex]
[tex]\huge\textsf{= 13 + 18}[/tex]
[tex]\huge\textsf{= \bf 31}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]
Answer:
[tex] \displaystyle 31[/tex]
Step-by-step explanation:
we want to simplify the following expression:
[tex] \displaystyle 13 - ( - 18)[/tex]
remove parentheses and change its sign because we know that two negatives make positive Thus:
[tex] \displaystyle 13 + 18[/tex]
finally simplify addition:
[tex] \displaystyle\bf \fbox{31}[/tex]
hence,
[tex] \displaystyle 13 - ( - 18) = \boxed{31}[/tex]
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
pleasee help asapp:)
They gave you the length of the two sides of the triangular part. Calculate the circumference of the semi circle on top.
Circumference of a semi circle is 1/2 x 2 x radius x PI
The radius is given as 3 ft.
Circumference = 1/2 x 2 x 3 x 3.14 = 9.42ft
Perimeter is the length of the circumference of the semi circle plus the side lengths of the triangle:
5 + 5 + 9.42 = 19.42 feet
Answer: 19.42 feet
Answer:
10 + 3[tex]\pi[/tex]
19.42
Step-by-step explanation:
What is Index Law 2?
please give definition
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.
Answer:
The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.
use the information in the diagram, set up a proportion to solve for the height of the tree
Answer:
Step-by-step explanation:
There are a couple of ways you could solve this problem. B is one of them.
The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height
Let the tree equal x
100/220 = x / 176 Multiply both sides by 176
100 * 176 / 220 = x
x = 80
Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220
The graph of a relation is shown.
Which of these values could be the slope of the line?
Select two options.
-2
-8/5
0
7/4
3
Answer:
4th option, 7/4 and
5th option, 3
Step-by-step explanation:
The line seems like it will have a positive slope and will not be 0 since it's not passing through the origin
so, possible values are 7/4 and 3
Answered by GAUTHMATH
Answer: The answer would be 7/4, 3
Step-by-step explanation:
