Answer:
[tex](a)\ Ratio = 1.43[/tex]
[tex](b)\ Ratio = 0.864[/tex]
Step-by-step explanation:
Given
[tex]French\ Week= 10\ days[/tex]
[tex]French\ days= 10\ hours[/tex]
[tex]French\ hours= 100\ minutes[/tex]
[tex]French\ minutes= 100\ seconds[/tex]
Solving (a): Ratio of french minute to standard week
This is calculated as:
[tex]Ratio = \frac{French\ week}{Standard\ week}[/tex]
[tex]Ratio = \frac{10\ days}{7\ days}[/tex]
[tex]Ratio = \frac{10}{7}[/tex]
[tex]Ratio = 1.43[/tex]
Solving (b): Ratio of french second to standard second
This is calculated as:
[tex]Ratio = \frac{French\ second}{Standard\ second}[/tex]
Convert french days to seconds
[tex]French\ days= 10\ hours[/tex]
[tex]French\ days = 10hr * 100mins/hr * 100secs/min[/tex]
[tex]French\ days = 10 * 100 * 100secs[/tex]
[tex]French\ days = 100000\ secs[/tex]
This gives:
[tex]French\ second = \frac{1}{100000}day[/tex]
For standard day, we have:
[tex]Standard\ second = \frac{1}{86400}day[/tex]
So, we have:
[tex]Ratio = \frac{1/100000}{1/86400}[/tex]
Rewrite as:
[tex]Ratio = \frac{1}{100000} \div \frac{1}{86400}[/tex]
[tex]Ratio = \frac{1}{100000} * \frac{86400}{1}[/tex]
[tex]Ratio = \frac{86400}{100000}[/tex]
[tex]Ratio = 0.864[/tex]
Find the expression different from the others. Do this by showing that the other four are equivalent to each other using the properties of exponents. (4 points)
A)2^4x+2
B)4•16^x
C)2+4^4x
D)2^2 • 4^x (over) 4^-x
E)4^2x+1
Answer:
C) 2+4^4x
Step-by-step explanation:
A) 2^(4x+2) = 2^4x • 2² = 16^x • 4
B) 4 • 16^x = 16^x • 4 (already done)
D) 2^2 • 4^x (over) 4^-x
= 4 • 4^x • 4^x = 16^x • 4
E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4
please help me ASAP I WILL GIVE U BRAINLIEST!
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a vector < x, y > then its magnitude is
[tex]\sqrt{x^2+y^2}[/tex]
Given the directed line segment
P (0, 0 ) → Q (3, 2 ) then
PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >
| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
3.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 11.9 in
C. 9.9 in.
D. 14.0 in
Answer:
C. 9.9 in.
Step-by-step explanation:
Step-by-step explanation:
Alright, lets get started.
Area is given as 49 square inches.
The formula for area A =
base is given as x
Height is given as x
Hence area is A
A =
Multiplying 2 in both sides
Taking square root on both sides
hence the answer is x = 9.9 in : Answer
Hope it will help :)
The value of x is 9.9 in.
Solution:
The given image is a triangle.
Base of the triangle = x
Height of the triangle = x
Area of the triangle = 49 sq. in
To find the value of x:
Area of the triangle =
Substitute the given values in the formula.
Multiply by 2 on both sides, we get
Taking square root on both sides, we get
⇒ x = 9.9 in
Hence the value of x is 9.9 in.
For his phone service, Deshaun pays a monthly fee of $17, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $67.44.
7
45°
X
Find the value of x . Write your answer in simplest form.
Answer:
7√2
Step-by-step explanation:
From the diagram given;
Hypotenuse = x
Opposite = 7
Angle = 45 degrees
According to SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 45 = 7/x
x = 7/sin45
x = 7/1/√2
x = 7 * √2/1
x = 7√2
Hence the value of x is 7√2
What is the completely factored form of this polynomial? 7x4 + 14x3 − 168x2 A. 7x3(x + 4)(x − 6) B. 7x2(x + 4)(x − 6) C. 7x2(x − 4)(x + 6) D. 7x3(x − 4)(x + 6)
Answer:
7x^2*(x-4)*(x+6)
Step-by-step explanation:
7x^4 + 14x^3 - 168x^2
common factor 7x^2
7x^2*( x^2+2x-24)
now we factor ( x^2+2x-24)
(x-4)*(x+6)
Solution
7x^2*(x-4(*(x+6)
The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
What is polynomial ?
The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given polynomial as:
7x⁴ + 14x³ - 168x²
There is a common factor 7x²
7x²( x² + 2x - 24)
To determine the factor of ( x² + 2x - 24)
⇒ 7x²( x² + 2x - 24)
⇒ 7x²( x² + 6x - 4x -24)
⇒ 7x²[x(x+6) - 4(x+6)]
⇒ 7x²(x-4)(x+6)
Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
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May someone solve and give explanation
Answer:
θ = 49.4584°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
Step 2: Find Angle
Substitute in variables [cosine]: cosθ = 13/20Inverse Trig: θ = cos⁻¹(13/20)Evaluate: θ = 49.4584°Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning
Answer:
Part A: 84, 105
Part B: $315
Step-by-step explanation:
Part A:
4 student tickets + 5 adult ticekts = 9 tickets
The ratio of student tickets to adult tickets to total tickets is
4 : 5 : 9
He sold x times more tickets than the numbers on the ratio.
He sold 9x tickets.
9x = 189
x = 21
Student tickets:
4x = 4(21) = 84
He sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
He sold 105 adult tickets.
Part B:
Student tickets:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
What is Equation?Two or more expressions with an Equal sign is called as Equation
The ratio of student tickets to adult tickets sold is 4 : 5
4 student tickets + 5 adult ticekts = 189
4x+5x=189
9x = 189
Divide both sides by 9
x = 21
The number of Student tickets:
4x = 4(21) = 84
Jin sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
Jin sold 105 adult tickets.
Part B:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
Hence 84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
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A circular flower bed is 19m in diameter and has a circular sidewalk around it that is 3m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.
The area of the sidewalk ____ m².
Area of the circular sidewalk around flowerbed is 207.24 m² .
What is area?Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.
Given,
Diameter of flowerbed = 19m
radius = diameter/2 = 19/2 = 9.5 m
Area of flower bed A
= πr²
= 3.14(9.5)²
= 3.14(90.25)
= 283.385 m²
width of the sidewalk = 3m
radius of flower bed with sidewalk = 9.5 + 3 = 12.5m
Area of flower bed with sidewalk A'
= 3.14(12.5)²
= 3.14(156.25)
= 490.625 m²
Area of the sidewalk
= A' - A
= 490.625 - 283.385
= 207.24 m²
Hence, 207.24 m² is area of the circular sidewalk around flowerbed.
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A rectangle in the coordinate plane has vertices at (-1, 6), (-1, 2), (4, 2), and (4, 6). The perimeter of the rectangle is Choose... units. The area of the rectangle is Choose... square units.
Answer:
perimeter = 18 units
area = 20 square units.
Step-by-step explanation:
We know that a rectangle is defined by two measures, length L, and width W.
Such that the perimeter is given by:
P = 2*(L + W)
and the area is given by:
A = L*W
Here we know that the vertices of or rectangle are:
(-1, 6)
(-1, 2)
(4, 2)
(4, 6)
Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)
So we can define the length L as the difference between the two different values of x:
L = 4 - (-1) = 4 + 1 = 5 units
And the width as the difference between the two different values of y:
W = 6 - 2 = 4 units
A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.
Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:
P = 2*(W + L) = 2*(5 + 4) = 18 units
A = W*L = 5*4 = 20 square units
PLLEASEEEEEEEEEEEEEEEEE HELPPPPPPPPPP!!!! ill brainlist/ rate u 5 star.
A ramp is used so a trolley can be wheeled on to a platform.
The cross-section of the ramp is drawn as a right-angled triangle with
the unknown height labelled as x.
1 Is the unknown length in this triangle (shown as x) the length of
the hypotenuse? Explain ur answer.
Answer:
The hypotenuse is sqrt ( 2x^2)
Step-by-step explanation:
Given a right angled triangle, we can find the hypotenuse of a triangle using the Pythagorean theorem which says that c^2 = a^2 + b^2, where a is the length, b is the perpendicular height and c is the hypotenuse. The length of the triangle (l) is x and the height of the triangle is also x. By substituting the values,
c^2 = x^2 + x^2 = 2x^ 2
There are two possible answers to c but the hypotenuse cannot be negative.
Hence,
c = Sqrt (2x^2)
Find the value of x ?
Answer:
7x-1+2x-1=7
9x-2=7
9x=7+2
9x=9
÷9
x=1
For the equation =7−12 which value represents the slope of a line perpendicular to the equation?
Answer:
69
Step-by-step explanation:
help asap!! i’ll mark brainlist :)
Answer:
d=120-75
Step-by-step explanation:
so that means d=45
For a science project, Joseph launches a model rocket. The function "h(s)=-3s^2+6s+45 represents the height in feet of the rocket after s seconds. It will take the rocket ___ second(s) to reach its maximum height. A - 1 B - 3 C - 5 D - 45 E - 48
Answer:
t = 1 s to reach its maximum height.
Step-by-step explanation:
The function that represents the height of the rocket after s seconds is given by :
[tex]h(s)=-3s^2+6s+45[/tex] ...(1)
For maximum height,
[tex]h'(s)=0\\\\-6s+6=0\\\\s=1[/tex]
It is the time the rocket will take. So, the ball will take 1 second to reach its maximum height.
which inequalities are truth, select the 4 correct answers.
Answer:
square the number in the middle to solve
it's easier than calculating the roots
1) true
2) true
3) false (obviously)
4) false (3² = 9, not less than 9)
5) true
6) true
Answer:
Step-by-step explanation:
True 2.23<2.3<2.44
True 2.23<2.4<2.44
True
False 2.82<3<3
True 2.82<2.9<3
False 2<4.5<2.23
if a bus covers a distance of 428.5 km in 8 hours,find the speed of the bus
Answer:
53.525kmh^-1
Step-by-step explanation:
average speed=total distance/total time taken
=428.5km/8h
=53.525kmh^-1
Find the slope from the two points given: (0, -2) and (-6, 4)
Answer:
Step-by-step explanation:
here x1=0 y1=-2 x2=-6 y2=4
slope=y2-y1/x2-x1
=4-(-2)/-6-0
=4+2/-6
=6/-6
=-1
therefore slope=-1.
#42 urgent please be certain
Answer:
Its D
Step-by-step explanation:
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress. If the sales tax in Stafford is 11%, how much did she pay in all?
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer: The correct answer is $566.10
Step-by-step explanation: IXL
20 pts
The vertices of a triangle are (3,-2), (5.-8) and (-2, 1). What is the approximate perimeter of
the triangle
Answer:
23.56 length units
Step-by-step explanation:
To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.
To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).
Side 1: (3,-2), (5, -8)
difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)
Side 2: (5, -8), (-2,1)
difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)
Side 2: (-2,1), (3,-2)
difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)
Perimeter
= sum of sides
= sqrt(40)+sqrt(130)+sqrt(34)
= 6.32+11.40+5.83
= 23.56 approximately
Please help for geometry final!!
Answer:
∠1 = 180° - 123° = 57°
∠2 = 180° - 57° - 48° = 75°
∠3 = 180° - 123° - 13° = 44°
Answer:
2
[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]
3
[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]
4
[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]
how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
find the LCM of 30,45,60,90
Answer:
180
Step-by-step explanation:
30 = 2 x 3 x 5
45 = 3^2 x 5
60 = 2^2 x 3 x 5
90 = 2 x 3^2 x 5
LCM ( 30, 45, 60, 90 )
= 2^2 x 3^2 x 5
= 4 x 9 x 5
= 180
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
129x-33=112
solve for x
Answer:
x =145/129
Step-by-step explanation:
129x-33=112
Add 33 to each side
129x-33+33=112+33
129x = 145
Divide each side by 129
129x/129 = 145/129
x =145/129
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90
Equationlet
number of times Maria hiked the mountain trail = xnumber of times Maria hiked the canal trail = y5x + 10y = 90
Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90
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Answer:
5x + 10y = 90
Step-by-step explanation:
can someone help me?
(2x+8)(2x+2)
[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
What is 9v-8(10v-9) I need an answer
What is the role that by subscribe to translation ABC D
Answer:
The role of ABCD is two determine the points of the figure.
