Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.
what is length ?Distance between two sites can be determined by a measurement called length. Aside from height and width, it also determines how long an object is. In math classes, kids will study about length to assist them in solving real-world problems both as a part of their education and outside of it. the largest or longest dimension of a thing; a measurable length or width. Dimensions: 10 ft. Table of the Metric System, Weights and Measures Table: the characteristic of length. The definition of length is the distance or measurement between two points. In other terms, the largest two or highest three dimensions of a geometric shape or item.
given
Puppy drawn to scale measures 6 cm in length.
due to the scale's 1:9 cm
Utilize the ratio approach to determine the puppy's true length.
1 = 6 cm
9 = 6×9 = 54 cm
Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.
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A straw is placed inside a rectangular box that is 10 inches by 3 inches by 5 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw
The length of the straw is equal to the length of the space diagonal of rectangular box, that is 11.6 inches.
The length of the straw is equal to the space diagonal of the rectangular box. Space diagonals are three-dimensional diagonals.
If the length of the sides of the box is a, b, and c, then the space diagonal can be computed by applying the Pythagorean Theorem.
D = √(a² + b² + c²)
Substitute the following dimensions:
a = 10 inches
b = 3 inches
c = 5 inches
Then,
D = √(10² + 3² + 5²)
D = √(100 + 9 + 25)
D = √134 = 11.6 inches
Hence, the length of the straw is 11.6 inches.
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Why is 1 called a universal factor?
1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself entirely.
A factor is a number that divides another number and leaves no remainder. In other words, if multiplying two whole numbers gives us a product, the numbers we are multiplying are factors of the product because they are divisible by the product. There are two processes for finding factors: multiplication and division.
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 absolutely and 12 ÷ 6 = 2 absolutely. The other factors of 12 are - 1, 2, 4, and 12.
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291 is the same as 359 increased by the product of 125 and m
The equation 291 = 359 + 125m represents the given phrase, and the required value of m is 2.33
What is Algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The equation 291 = 359 + 125m can be solved for m by subtracting 359 from both sides, resulting in:
291 - 359 = 125m - 359
-68 = 125m - 359
Adding 359 to both sides gives:
-68 + 359 = 125m
291 = 125m
Dividing both sides by 125 gives the solution for m:
291 / 125 = 125m / 125
2.33 = m
So, m is equal to 2.33.
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The question seems incomplete, the completed question would be as:
If 291 is the same as 359 increased by the product of 125 and m. what is the value of f?
Find y' and y''.
y = √x ln(x)
y' = ...?
y'' = ...?
Therefore , the solution of the given problem of equation comes out to be y" = -1/4 *√x * ln(x) + 1/2√x -1/2 * √x .
What is the equation?A mathematical equation looks to be a formula that joins two statements and indicates equality when it uses the equals symbol (=). In algebra, an equation is a statement of fact that demonstrates the equality of different mathematical variables . For instance, the result obd + 6 = 12 has an equal sign between quantities ptdc + 6 and 12. There is a mathematical formula that describes the connection between the syllables on either side of each letter. The emblem and the statement are frequently the same.
Here,
y = √x ln(x)
To find the y'
=> dy/dx = d(√x ln(x)) /dx
=> dy/dx = 1/2√x * ln(x) + 1/x *√x
=> dy/dx = 1/2√x * ln(x) + 1/√x
To find the value of y ''
=> dy'/dx = d(1/2√x * ln(x) + 1/√x ) / dx
=> dy'/dx = 1/2 * (-1/2* √x * ln(x) + 1/√x ) -1/2 * √x
=>dy'/dx = -1/4 *√x * ln(x) + 1/2√x -1/2 * √x
Therefore , the solution of the given problem of equation comes out to be y" = -1/4 *√x * ln(x) + 1/2√x -1/2 * √x .
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The expression -350 +16.6m represents a summering that begins at a depth of 350 feet below sea level and ascended at a rate of 16.6 ft./min. what was the depth of the submarine after nine minutes 
Answer:
Step-by-step explanation:
After nine minutes, the depth of the submarine will be -334.4 ft. below sea level. This is calculated by taking the starting depth of -350 ft. and adding the amount of ascent in nine minutes (9 minutes x 16.6 ft./min. = 149.4 ft.). So the result would be -350 + 149.4 = -334.4 ft.
1. The hypotenuse of a right triangle has length of 34cm. The sum of the lengths of the other two legs is 46cm. What are their lengths?
The length of the other two sides are 16 and 30.
What is right-angle triangle ?
A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.
If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.
let one angle be x
the other angle be 46-x
as the sum of the angles is 46
x² + (46-x)² = 34²
2x² - 92x + 46² - 34² = 0
x² - 46x + 480 = 0
x² - 16x - 30x + 480 = 0
x(x-16) - 30 (x - 16) = 0
(x-30)(x-16) = 0
x = 30 or x = 16
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In the accompany diagram, the width of the inner rectangle is represented by x-3 and the length by x+3. The width of the outer rectangle is represented by 3x-4 and the length by 3x+4. Express the area of the region inside the larger rectangle but outside the smaller rectangle as a polynomial in terms of x.
The inner triangle's area is equal to x2 - 9.The larger triangle has a surface area of (9x2 - 16) square units.8x2 - 7 is the necessary polynomial in terms of x.
Express the area of the region ?The following is the formula for determining a rectangle's area:
A = LW
The length is L.
The width is W.
For the inner triangle, see (A)
Size = x - 3
Height = x +3
(x-3)(x+3) is the inner triangle's area.
x2-3x+3x+9 is the inner triangle's area.
Inner triangle's area is equal to x2 - 9.
B) Regarding the bigger triangle
Size = 3x-4
Height 3x + 4
A = (3x-4)(3x+4)
A = 9x²+12x-12x-16
A = (9 x 2 – 16) square units
Consequently, the larger triangle's area is (9x2 - 16) square units.
C) We will make the difference in the areas in order to describe the size of the region inside the bigger rectangle by outside the smaller rectangle as a polynomial in terms of x:
P(x) is equal to the smaller triangle's area minus the larger triangle's area.
P(x) = (9x² - 16) - (x² - 9)
P(x) = 9x² - 16 - x² + 9
P(x) = 9x² - x² - 16 + 9
P(x) = 8x² - 7
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Pavel uses a piece of cardboard to create a box. The polynomial function V(x) = x^4 − 42x^3 + 352x^2 + 2,688x gives the volume in cubic centimeters of the box in terms of its length, x. If Pavel wants the box to have a volume of 64,800 cm3, what must be the length rounded to the nearest tenth of a centimeter?
PLEASE ITS FOR A TEST
Answer:
To find the length of the box that will give a volume of 64,800 cm^3, we need to find the value of x that makes V(x) equal to 64,800. We can do this by setting V(x) equal to 64,800 and solving for x:
V(x) = x^4 − 42x^3 + 352x^2 + 2,688x = 64,800
x^4 − 42x^3 + 352x^2 + 2,688x - 64,800 = 0
This is a polynomial equation, and we can use techniques like factoring or synthetic division to solve for x. However, in this case, the polynomial is quite large and difficult to factor, so we can use a numerical method like the bisection method or the Newton-Raphson method to find an approximate value for x.
Using the bisection method, we can start by guessing a range of possible values for x, such as x = 50 to x = 100, and then repeatedly narrowing down the range until we find a value that makes V(x) = 64,800.
Using the Newton-Raphson method, we can start by guessing an initial value for x and then repeatedly updating the guess using the formula x(n+1) = x(n) - f(x(n))/f'(x(n)), where f(x) is the polynomial function and f'(x) is its derivative, until we find a value that makes V(x) = 64,800.
Both methods are likely to give an approximate value for x, which is around 94.3cm.
The table shows the rate at which water is being pumped into a swimming pool
Answer:
35, 189
Step-by-step explanation:
2 1/2 + 11 = 13 1/2 minutes
After 2 1/2 min after 11 min: 2 1/2 x 14 = 35 gallons are added after 2 1/2 min
A total of: 154 + 35 = 189 gallons will be pumped in after 13 1/2 min
When you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.T/F?
It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.
In mathematics, an algorithm is a process, a description of a series of steps that may be used to solve a problem; however, they are now far more prevalent than that.
Although many areas of research (and daily life) employ algorithms, long division's step-by-step process is probably the most prevalent example.
Thus, It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.
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In the sequence 2,5,8,11,...,X,...,which expression describes the number after x? explain your choice a.X+3 b. x-3 c.3x d. x divided by 3
Answer:
A- x+3
Step-by-step explanation:
each number is growing by 3
PLEASE Help!! Will give branliest for the correct answer and a brief explanation on how to solve this!
Answer: Well you have to see on the number that is close to the decimal point
Step-by-step explanation:
0.2438
0.4485
0.8641
3.2527
17.9926
5 stars thank and brainiest
The value that represents the smiley face is given as follows:
402.
How to obtain the value of the smiley face?The first three equations compose a system of equations, and then the three solutions to this system are used to obtain the value of the smiley face.
The variables and shapes are attributed as follows:
Variable x: square.Variable y: star.Variable z: triangle.From the third equation, the square has the value obtained as follows:
8x - 6x + 3x = 60
5x = 60
x = 60/5
x = 12.
From the second equation, the value of the star is obtained as follows:
12(12) + 5y = 234
5y = 90
y = 90/5
y = 18.
From the first equation, the value of the triangle is given as follows:
12 + 3z + 18 = 57
3z = 27
z = 9.
Considering these values, the value of the smiley face is given as follows:
Smiley = 18(9 + 18 - 12) + 12(18/9 + 9)
Smiley = 18(15) + 12(2 + 9)
Smiley = 18 x 15 + 12 x 11
Smiley = 402.
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Assume f(x): x+2/3 find Find f-¹(4).
10
2
1/2
1
(the / represents fraction)
Answer:
Step-by-step explanation:
To find the inverse of a function, we need to switch the variables x and y and solve for the new variable.
Given f(x) = x + 2/3, we can write the inverse as f^-1(y) = x.
So we will replace y with 4 in the inverse function f^-1(y) = x and solve for x.
f^-1(4) = x
x + 2/3 = 4
x = 4 - 2/3
x = 8/3
Therefore, f^-1(4) = 8/3
when you refer to the meer-kitty survey feedback tab, you are pleased to find that the available data is aligned to the business objective. however, you do some research about confidence level for this type of survey and learn that you need at least 120 unique responses for the survey results to be useful. therefore, the dataset has two limitations: first, there are only 40 responses; second, a meer-kitty superfan, user 588, completed the survey 11 times. as the survey has too few responses and numerous duplicates that are skewing results, what are your options? select all that apply.
Conduct additional surveys to increase the total number of responses.
Remove duplicates from the dataset to eliminate skewing of results
Use caution when interpreting the results and consider them exploratory rather than conclusive
Consider using a different methodology for gathering data, such as focus groups or interviews
Adjust the confidence level for the survey results to account for the smaller sample size
Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset
Consider using a sample survey method, like stratified sampling or cluster sampling.
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We'll now obtain an estimate of the area of this region with a Riemann Sum, i.e. a collection of rectangles whose combined area approximates the area under the region. On your graph, slice the area up into 4 pieces by drawing 3 evenly spaced vertical lines from the x-axis up to the curve. Then using the left side of each slice as the height, sketch in 4 rectangles on your graph; these four rectangles should overlay the region under 1/x between 1 and 2. What are the x-coordinates of the left edges of the rectangles
The x-coordinates of the left edges of the rectangles are 1,5/4,6/4,7/4.
The area of this region with a Riemann Sum is 0.7595.
What does Riemann sum mean?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
Given function is f(x) = 1/x on the interval [1,2] is shown.
The four rectangles of width 1/4 are present.
From the figure we can see that the x coordinate of the left edges of the rectangle are:
1,5/4,6/4,7/4
Now we plug these values in the function to find the height of rectangles.
For x=1 ,f(x) = 1
For x=5/4 ,f(x) = 4/5
For x=6/4 ,f(x) = 4/6
For x=7/4 ,f(x) = 4/7
Now, Area = length*width, and width of each rectangle is 1/4
Area of rectangle 1 = 1*1/4 = 1/4
Area of rectangle 2 = 4/5*1/4 = 1/5
Area of rectangle 3 = 4/6*1/4 = 1/6
Area of rectangle 4 = 4/7*1/4 = 1/7
Total Area is = 1/4+1/5+1/6+1/7 = 0.7595
This is an overestimation of ln(2).
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Given that f(x) = x/3 - 1 and that g(x)=2x-5 a) Work out f(6) + g(3) b) Work out g^-1(7) c) Work out g^-1(7) – f^-1(1)
Answer:
A) 2 B) 6 C)0
Step-by-step explanation:
A)
f(6) = 6/3 - 1 = 1
g(3) = 2(3) - 5 = 1
f(6) + g(3) = 1 + 1 = 2
B)
Find the inverse of the function g(x)
x = 2y-5
-2y = -x-5
2y = x+5
y = (x+5)/2
g^-1(7) = 12/2 = 6
C)
g^-1(7) = 6
Find the inverse of the function f(x)
x = y/3 - 1
x+1 = y/3
y = 3x+3
f^-1(1) = 3+3 = 6
g^-1(7) – f^-1(1) = 6-6 = 0
Select the expressions that are equivalent to 5(4u).
20u - u+20 - u+9 - 5(u+3u)
The expressions that are equivalent to 5(4u) will be 20 u and 5(u + 3u).
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. The expression that is equivalent to 5(4u) will be:
= 20 u
and
5(u + 3u)
= 20u
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find the area of the shaded triangle
Answer:
20cmStep-by-step explanation:
4x10 40 divided by 2Select the correct answer from each drop-down menu.
Ahmed is a school student of age 15. To support his expenses, Ahmed works in his free time. The place where he works requires him to stay at work
until 9 p.m. What exemption is considered here so that Ahmed's employer does not break any law?
FLSA lets children between 14 and 16 years of age work until 9 p.m. (April 1/June 1/March 1) between
and(StPatricks day/Memorial day/Labor day)
Answer: labour day
Step-by-step explanation:
Roberta wants to reduce a drawing that is 12 inches long by 8 inches wide. If her new drawing is 6 inches long, how wide will it be?
For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
If this drawing is proportional, we can see that 12 was divided by 2 to get 6. We can do the same to 8.
8 ÷ 2 = 4
The width of the new drawing is 4.
(7,349) (2,114) slope
Answer:
Slope = 47
Step-by-step explanation:
Slope:Substitute the x and y coordinates in the formula and find the slope.
(7 , 349 ) ; x₁ = 7 ; y₁ = 349
(2 , 114) ; x₂ = 2 ; y₂ = 114
[tex]\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf = \dfrac{114-349}{2-7}\\\\=\dfrac{-235}{-5}\\\\=47[/tex]
Answer: m=47
Step-by-step explanation:
[tex]\displaystyle\\The \ slope\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given: (7,349) (2,114) Find: m
x₁=7 x₂=2 y₁=349 y₂=114
[tex]\displaystyle\\m=\frac{114-349}{2-7} \\\\\\m=\frac{-235}{-5} \\\\\\m=47[/tex]
What is called absolute?
The exact value of a number is often what is meant when the word absolute is used in mathematics.
The absolute value of a number is often what is meant when the word absolute is used in mathematics. For mathematicians, knowing the absolute value is essential. To display a number's absolute value, vertical bars are placed on either side of the number. The absolute value on a number line denotes separation from zero.
The absolute value of a negative number is a positive number. The absolute value of one positive number is equal to that of another positive number. No matter what its sign, a number's absolute value is always its non-negative value. For instance, 5 is also the absolute value of 5, as is the absolute value of -5.
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How many solutions can an absolute value equation have?
An absolute value equation may have one solution, two solutions, or no solutions.
Absolute value means "distance from zero" on a number line. To represent the absolute value of a number, we use a vertical bar on either side of the number.
The absolute value is the distance from zero, It is the non-negative quantity, which defines the number as the distance of the number from zero on the number line.
The absolute value has only one solution when it is compared to 0.
When the absolute value equation is compared with any positive number, then the number of solutions is two.
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say you continually sample from some i.i.d. uniformly distributed (0, 1) random variables until the sum of the variables exceeds 1. how many times do you expect to sample?
With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.
What are random variables?A quantity or item that depends on random events is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable.
It is a mapping or function from potential outcomes, such as the potential heads or tails of a coin flip.
This graph demonstrates how random variables are a function of real values and all conceivable outcomes.
It also demonstrates how probability mass functions are defined using random variables.
Informally, randomness usually denotes some basic element of chance, like as the roll of a die, and it may also denote uncertainty, such as measurement mistake.
Hence, With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.
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Two players take turns putting pennies on a round table, one penny per turn, withoutpiling one penny on top of another. The player who cannot place a penny loses. Design a winningstrategy for the first player.
The first player will eventually win, when the second player runs out of free slots.
On the first move place the coin on the center of the table.
Then player B will place his coin anywhere on the table.
Now, you put your coin on the line of diameter passing through the coin placed by player B, at the same distance away from the boundary of the circle ( mimic his placement on the opposite side of the table).
If player A has space to place a coin, so will player B. Player B will run out of place before player A.
The first player will eventually win, when the second player runs out of free slots.
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Which is bigger feet or miles?
Answer:
1 mile is about 1.6 km
1 feet is 30cm.
Safe to say a mile is bigger.
Answer:
Miles are bigger than feet.
Step-by-step explanation:
In 1 mile, there are 5,280 feet. So miles would be 5,280 times bigger than feet.
each half of this figure is composed of 3 red triangles, 5 blue triangles and 8 white triangles. when the upper half is folded down over the centerline, 2 pairs of red triangles coincide, as do 3 pairs of blue triangles. there are 2 red-white pairs. how many white pairs coincide?
7 white pairs coincide when upper half is folded over the centerline.
What is triangle ?
A triangle is a three-sided polygon that has three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. Triangles are classified based on their side lengths or angle measures.
We know that each half of the figure is composed of 3 red triangles, 5 blue triangles and 8 white triangles.
When the upper half is folded down over the centerline, 2 pairs of red triangles coincide, as do 3 pairs of blue triangles. there are 2 red-white pairs.
So, 2 red triangles + 3 blue triangles + 2 red-white pairs = 7 pairs of triangles that coincide
The total number of triangles in each half of the figure is 3 red triangles + 5 blue triangles + 8 white triangles = 16
If 7 pairs of triangles coincide, then 16 - 7 = 9 pairs do not coincide.
And since 2 red-white pairs coincide, then the remaining 9 - 2 = 7 pairs must be white pairs.
So 7 white pairs coincide when upper half is folded over the centerline.
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An amount of $1,000 is deposited into a bank account that pays 4% annual interest. What would be the bank account balance after 5 years? Use A= P (1 + r/n)nt
The account balance in the bank after 5 years is $1,216.65.
How to solve compound interest questions?An amount of $1,000 is deposited into a bank account that pays 4% annual interest. The amount in the bank account after 5 years can be calculated as follows:
Therefore,
[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]
where
p = principalr = raten = number of timest = timeTherefore,
p = 1000 dollars
4 = 4 % = 4 / 100 = 0.04
t = 5 years
n = 1
Therefore,
A = 1000(1 + 0.04/1)¹ˣ⁵
A = 1,000(1 + 0.04)⁵
Therefore,
A = $1,216.65
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Find the length of side xx in simplest radical form with a rational denominator.
well, the triangle is an equilateral, so all sides are equal, we know that the segment "x" stems out of the vertex and drops perpendicular to the other side, now, the vertex "x" stems from has two equal sides.
what the hell all that means? well it means that "x" is an altitude and is also an angle bisector and likewise is also cutting the opposite side into two equal halves, meaning that one side is really 8 + 8 = 16, so then
[tex]\stackrel{altitude}{height}\textit{ of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=\stackrel{length~of}{a~side}\\[-0.5em] \hrulefill\\ s=16 \end{cases}\implies h=\cfrac{16\sqrt{3}}{2}\implies h=8\sqrt{3}[/tex]
