On solving the provided question we can say that - by unitary method so in 1 hrs it will travel 62/4 = 15.5 miles
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
A boat travels = 62 miles
in = 4 hours
so in 1 hrs it will travel 62/4 = 15.5 miles
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2√2
Solving radicals
The expression 2√2 is equivalent to 2.83.
What are radicals?A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction. Mathematically -
[tex]$\underbrace{\sqrt[n]{x} \times \sqrt[n]{x} \times \dots}_{n \text{ times}} = x[/tex]
Given is the expression as -
2√2
We can write -
2√2 = 2[tex]$(2)^{\frac{1}{2}}[/tex]
2√2 = 2 x 1.414
2√2 = 2.83
Therefore, the expression 2√2 is equivalent to 2.83.
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Find the perimeter and the area of a rectangle with the sides 4 7/10 m and 6 2/3
(just answer if fine)
Answer:
Step-by-step explanation:
The area of a rectangle is length times the width. So it will be 4 7/10 times 6 2/3=31 1/3.
Perimeter will be length plus the width=11 11/30.
Evaluate when x=5:
(x²-3) / 2
Answer:
11
Step-by-step explanation:
Given x value is 5.
Substitute the value of x in the given equation.
5^2 is 5*5 = 25
Subtract 3 from 25 ---> 25 - 3 = 22
Divide 22 by 2 ---> 22/2 = 11
Hence, the answer is 11.
Write the equation of the line that passes through the points (7,8) and (9,-9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
The equation of the line that passes through the points (7, 8) and (9, -9) in fully reduced point-slope form is y = -17x/2 + 135/2.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line and passes through the points (7, 8) and (9, -9) by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 8 = (-9 - 8)/(9 - 7)(x - 7)
y - 8 = -17/2(x - 7)
y - 8 = -17x/2 + 119/2
y = -17x/2 + 119/2 + 8
y = -17x/2 + 135/2
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What is the solution to this equation?
I
Answer:
x=10922
Step-by-step explanation:
A square board is attached to a wall. The board is divided into four squares and each square is painted either black or white. In how many ways can the board be painted if we can rotate the given board about its center?
The number of ways for which the square can be painted is given as follows:
16 ways.
In how many ways the square can be painted?The square is composed by four regions, and for each region the painting is independent of other regions, meaning that the Fundamental Counting Theorem is used to solve this problem.
The Fundamental Counting Theorem states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the square is composed by four regions, each with two possible options for the paint color, hence the number of ways in which the square can be painted is given as follows:
N = 2 x 2 x 2 x 2 = 2^4 = 16 ways.
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The Department of Transportation in each state is responsible for the improvements and repairs of that state's roads. One important job is to repaint the road lines that have worn away or faded. A painting crew is painting a 24-mile stretch of road. They have already completed a total of 9.5 miles of the road. The crew has been painting at a rate of 0.25 mile per hour and continues to paint at the same rate.
Which of the following equations represents this situation?
According to the solving he painting crew will need 58 more hours to repaint the road.
What is dividing?Mathematical operations come in various types, with division being one. In this procedure, the phrases or numbers are divided into the exact number of components.
Each state is in charge of its own Department of Transportation, which is in charge of maintaining and repairing its roadways.
The task of repainting faded or worn-out road lines is crucial.
According to the given information:A 24-mile length of road is now being painted by painters.
A total of 9.5 miles of the road have already been finished.
24 miles less 9.5 miles equals 14.5 miles of road remain.
The team is still painting at the same 0.25 mile per hour rate as they have been.
The remaining distance travelled in 58 hours (14.5 / 0.25).
Thus, the crew still needs 58 more hours.
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Can you please help me with this!
Step-by-step explanation:
A triangle will ALWAYS be 180 degrees
4. 34 + 21 = 55
180 - 55 = 125
x = 125
5. 100 + 51 = 151
180 - 151 = 29
2x + 3 = 29
2x = 26
x = 13
6. 94 + 60 = 154
180 - 154 = 26
2x = 26
x = 13
What is 2/3 added to the sum of 4/9 and 7/9 and ?
The addition of 2/3 with the addition of 4/9 and 7/9 is 1 8/9
What is addition of fractions?The addition of fractions teaches us to add two or more fractions with the same or different denominators. The addition of fraction depends on two major conditions: Same denominators. Different denominators.
When adding fractions of same denominator, it easier, for example 2/5+1/5 =( 2+1)/5 = 3/5
But, the addition of fractions with different denominators, we have to find the LCM of the two denominator. for example 1/2+1/3, the LCM of 2 and 3 is 6, Therefore; = (3+2)/6 = 5/6
Similarly, 2/3+( 4/9+7/9)
2/3 + 11/9 =( 6+11)/9
= 17/9 = 1 8/9
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What is 0.5% of 75?????????????? And tell me step by step
Answer:
0.375
Step-by-step explanation:
convert percent to decimal:
[tex]\frac{0.5}{100}=0.005[/tex]
multiply by 75
[tex](0.005)(75)=0.375[/tex]
Hope this helps
If You write all numbers from 30 to 65 including 30 and 65 how many times would you write the digit 4?
The number of times you would write the digit of 4 from 30 to 65, would be 14 times.
How to find the number of times ?From the range of 30 to 39, the digits with 4 are:
34
From the range of 40 to 49, the digits with 4 are:
40, 41, 42, 43, 44, 45, 46, 47, 48, 49
From the range of 50 to 59, the 4s are:
54
From 60 to 65 the 4s are:
64
The number of times you write 4 is therefore the sum of the number of times you see 4 above, and this is: 14 times
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HELP PLEASE!!!
Translate the sentence into an equation.
Two more than the quotient of a number and 4 is 8.
Use the variable b for the unknown number.
Answer:
D. A princess must choose the fate of her lover; lady or tiger.
On August 23, Carlito Rosselini had $1,432.19 in his savings account at Camden Savings and Trust. The
account earns 5.5% interest compounded daily. What will be the amount in his savings account when he closes it on October 1?
Answer:
1440.63
Step-by-step explanation:
August 23 - October 1 = 39 days
5.5%/365 in days a year
=5.5/365%
for the amount in savings is:
= Amount x ( 1 + rate) ^ number of periods
= 1,432.19 x ( 1 + 5.5/365%)^39
= $1,440.63
12) In the diagram of ΔA B C below, BD is drawn to side AC.
If m∠A=35, m∠A B D=25, and m∠C=60, which type of triangle is ΔBCD (1) equilateral
(2) scalene
(3) obtuse
(4) right
The triangle in the figure given is a scalene triangle
What are types of triangleThere are three main types of triangles: right triangles, acute triangles, and obtuse triangles. Right triangles have one angle that is 90 degrees, while acute triangles have all angles less than 90 degrees, and obtuse triangles have one angle that is greater than 90 degrees.
1. Equilateral Triangle: All sides and angles are equal in an equilateral triangle.
2. Isosceles Triangle: Two sides and two angles are equal in an isosceles triangle.
3. Scalene Triangle: No sides or angles are equal in a scalene triangle.
4. Right Triangle: A right triangle has one angle that is 90 degrees.
5. Acute Triangle: All angles in an acute triangle are less than 90 degrees.
6. Obtuse Triangle: One angle in an obtuse triangle is greater than 90 degrees.
The angles given in this triangle have all their values less than 90 degrees. This makes them a scalene triangle.
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solve 3/8+1/4+1/2-2/3
Write a function that models the data.
Answer:
[tex]y = 5( {3}^{x} )[/tex]
3, 6, 12, 24, ...
Which of the following would not be a term of this sequence?
Α. 48
B. 64
C. 96
D. 192
Answer:
B. 64
If write sequence in order
3 6 12 24 48 96 196
it's very clear each sequence got multiplied by 2 to obtain other element
Drag each tile to the correct box. Not all tiles will be used.
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vot+at², to find a. In this formula, d is displacement,
Vo is initial velocity, a is acceleration, and it is time.
d+vot = at²
2 (d+vot) = at²
2 (d-vot)= at²
d-vot = at²
a=
a=
2(d+ vot)
2(d-vot)
The steps to find acceleration a are:
Step 1: d = vt + (1/2)at²
Step 2: d - vt = (1/2)at²
Step 3: 2(d - vt) = at²
Step 4: a = 2(d - vt) / t²
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
d = vt + (1/2)at²
We will find a.
d - vt = (1/2)at²
2(d - vt) = at²
a = 2(d - vt) / t²
Thus,
Step 1: d = vt + (1/2)at²
Step 2: d - vt = (1/2)at²
Step 3: 2(d - vt) = at²
Step 4: a = 2(d - vt) / t²
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the function g(x) represents f(x) = 9cos(x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?
The equation that represents the function g(x) is g(x) = 9cos(x - π/3) + 7
How to determine the equation that represents the function g(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = 9cos(x-pi/2)+3
Express the terms of the equation properly
So, we have the following representation
f(x) = 9cos(x - π/2) + 3
The transformation is given as translating π/6 units left and 4 units up
Mathematically, this can be expressed as
g(x) = f(x + π/6) + 4
So, we have
g(x) = 9cos(x - π/2 + π/6) + 3 + 4
Evaluate the like terms
g(x) = 9cos(x - π/3) + 7
Hence, the equation is g(x) = 9cos(x - π/3) + 7
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Two poles are 80 meters and 60 meters tall. Their bases are located at a distance of
90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire? Enter the exact value of the answer
how many meters to the right of the pole with height 80 meters?
The position at which the wire must be connected to the ground so it uses the least amount of wire is given as follows:
51.4 meters to the right of the pole with height 80 meters.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are two similar triangles in this problem, with side lengths given as follows:
80 and x.60 and 90 - x.Hence the proportional relationship to find the value of x is given as follows:
80/60 = x/(90 - x).
Symplifying by 20, we have that:
4/3 = x/(90 - x).
Applying cross multiplication, the value of x is obtained as follows:
360 - 4x = 3x
7x = 360
x = 360/7
x = 51.4 meters.
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0.0095 in science notation
Answer:
9.5 x 10^-3
Step-by-step explanation:
Move the decimal place until the leading digit is between 1 and 10, about three places to the right.
The exponent we use to notate our movement is negative, as we moved it to the right, so since we moved it three places to the right, it is -3.
Write it in the notation form m x 10^n, where m is that number between 1 and 10, and n is the exponent.
Your answer is 9.5 x 10^-3
how many solutions does 3x+15=6x+2-3x have?
Answer:
This equation has no solution.
Step-by-step explanation:
To find out how many solutions an equation has, you can just solve it. If you get an answer, that is one solution. Let's look at the equation.
3x+15=6x+2-3x
Combine like terms.
3x + 15 = 3x + 2
Subtract 3x from both sides.
15 = 2
Ruh-roh! 15 = 2 is a false statement. Since the variable fell out of the equation and what was left is false, there are no solutions.
NO number can be substituted into the equation that will make it true. There are no solutions.
PLS HELPPPPPPPPPPP ILL MARK YOU BRAINLEST
Answer:
a) 14 , b) -13 , c) 9
Step-by-step explanation:
use a calculator
Answer:
a) 14
b) -13
c) 9
Step-by-step explanation:
c) y = 3x +2
29 = 3x + 2
Subtract 2 from both sides
27 = 3x
x = 9
d Bula drives to work and
back every day. One way,
the trip is fifty miles.
How many miles does
she drive in five days?
Answer:
500 miles
Step-by-step explanation:
We want to find the distance traveled
50 miles one way
We need to multiply by 2 to find the distance traveled there and back
50 * 2 = 100
She does this for 5 days
5 * 100 = 500
She travels 500 miles to work and back in 5 days
Distance travelled. both way
50×2=100
After 5 days,
[tex] \longmapsto \: 100 \times 5 = 500miles[/tex]
2
3
P() = 0
O x + 1 is a factor of P(x)
O x + 1 is not a factor of P(x)
X
4
$
5
6
7
3
Use the Factor Theorem to determine whether x + 1 is a factor of P (x) = − xª¹ − x³ + 2x + 4.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.
8
00
To use the Factor Theorem to determine whether x + 1 is a factor of P(x) = -x^4 - x^3 + 2x + 4, we need to evaluate P at x = -1. If the result is 0, then x + 1 is a factor of P(x). If the result is non-zero, then x + 1 is not a factor of P(x).
Substituting x = -1 into the function P(x) gives us:
P(-1) = (-1)^4 + (-1)^3 + 2(-1) + 4
= 1 + -1 + -2 + 4
= 2
Since P(-1) is non-zero, x + 1 is not a factor of P(x).
8-(x+12)=1
I need help can someone please help me with this math problem
Answer:
x = -5
Step-by-step explanation:
You want the solution to 8-(x+12)=1.
SolutionEliminate parentheses using the distributive property:
8 -x -12 = 1
Combine like terms.
-4 -x = 1
We like to have the x-coefficient be positive, so we're going to add x to both sides:
-4 = 1 +x
Subtract 1 to get x by itself.
-5 = x
The value of x is -5.
__
Additional comment
We could have solved this by adding 4 to both sides in the third step:
-x = 5
Now, we need to multiply (or divide) by -1:
x = -5
Any operation (add, subtract, multiply, divide, root, log, or any other function) is done to both sides of the equation, according to the properties of equality.
Given f(x) = x^2 – 3 and g(x)= x+2/x. Find (g ° f)(4).
a. 11/13
b. 6
c. 15/13
d. -6
Answer:
c. [tex]\frac{15}{13}[/tex]
Step-by-step explanation:
[tex](g \circ f)(4)=g(f(4)) \\ \\ f(4)=4^2-3=13 \\ \\ g(13)=\frac{13+2}{13}=\frac{15}{13}[/tex]
Select the correct answer.
Which expression is equivalent to
Answer:
A
Step-by-step explanation:
A child on a swing is given a big push. She travels 12 feet on the first back-and-forth swing but only 5 6 as far on each successive back-and-forth swing. How far (total distance) does she travel before the swing stops?
She travels a total distance of 72 feet before the swing stops
How to determine how far she travel before the swing stops?This is an infinite geometric series problem. Theoretically, it is assumed the swing never stops, but we know it does.
But we will calculate mathematically as if it the swing never stops, but swings through a negligibly small distance.
The formula for an infinite geometric series is given by:
S∞ = a₁/(1 - r)
where a₁ = 12 feet and r = 5/6
S∞ = 12/(1 - 5/6)
S∞ = 12/(1/6)
S∞ = 72 feet
Thus, travels a distance of 72 feet
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Which of the following is a like radical to
6 3*/2x
A: 6 3*/x
B: 6 4*/2x
C:-5 3*/2x
D:6 3*/2x 2*
* is for exponents when put on the right and / is for square roots for clarification also all 6 and -5 are not exponents as well and in dead the 2 at the end is the only exponent that is apart of 2x
So for the square roots in answer D it is 2x and then the exponent of 2 just to make sure I made that clear and the exponents for all square roots are 3 for the question and 3 for A 4 for B 3 for C and finally 3 for D
Answer: D. 6 3*/2x 2*
Step-by-step explanation:
All of the answer choices you provided involve radicals, which are numbers or expressions that include a square root (or other root) symbol. In order to determine which answer choice is a like radical to the given radical (6 3*/2x), we must compare the coefficients, the indices, and the radicands of each radical.
The coefficient of a radical is the number that appears before the radical symbol, while the index is the number written as a small superscript to the right of the radical symbol. The radicand is the number or expression that is inside the radical symbol.
For the given radical (6 3*/2x), the coefficient is 6, the index is 3, and the radicand is 2x.
With this information in mind, we can compare the answer choices as follows:
A. 6 3*/x - This radical has the same coefficient and index as the given radical, but the radicand is different (it is x instead of 2x). Therefore, this is not a like radical to the given radical.
B. 6 4*/2x - This radical has the same coefficient and radicand as the given radical, but the index is different (it is 4 instead of 3). Therefore, this is not a like radical to the given radical.
C. -5 3*/2x - This radical has the same index and radicand as the given radical, but the coefficient is different (-5 instead of 6). Therefore, this is not a like radical to the given radical.
D. 6 3*/2x 2* - This radical has the same coefficient and index as the given radical, and the radicand is 2x, which is the same as the given radical. However, there is an additional exponent of 2 after the radical symbol, which is not present in the given radical. Therefore, this is not a like radical to the given radical.
Therefore, the correct answer is:
D. 6 3*/2x 2*
