Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.
To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.
There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.
Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.
Step-by-step explanation:
I need help for number 2
The measure of the exterior angle for Object 1 - a decagon is 36°, while th measure of the exterior angle for Object 2 - a dodecagon is 30°.
What is a Decagon and a Dodecagon?n object with 12 sides is called a dodecagon while an object with 10 sides is called a decagon.
Note that the exterior angles of all shapes, regular or irregular is 360°. In this case, the shapes are regular, which means that the sides are equal, hence their angles will be equal.
To derive the exterior angle of a regular geometric shape, the formula is given as:
Exterior angle measure = 360 / number of sides
Hence for A (the decagon), we have:
EAM = 360/10
= 36°
For B (the dodecagon) we have:
EAM = 360/12
= 30°
Thus the exterior angle for both shapes are 36° and 30° respectively.
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Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)
A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).
An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.
For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.
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What is the y-intercept of the quadratic function f/x )=( x 6 )( x 2?
The y-intercept of the quadratic function f(x) = (x - 6)(x + 2) is -12.
The y-intercept of a quadratic function is the point at which the graph of the function crosses the y-axis. This means that when x = 0, the value of y is equal to the y-intercept. In the case of the function f(x) = (x - 6)(x + 2), when x = 0, the value of y is equal to -12. This means that the y-intercept of the function is -12. To find the y-intercept, we can also substitute 0 for x in the equation, which would give us 0 = (0 - 6)(0 + 2), which simplifies to 0 = -12, and thus the y-intercept is -12.
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i need help with this question
The required slope of the linear equation is -3 which values shown in the table.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The table is given in the question as follows:
x y
-4 -15
-2 9
0 3
2 -3
4 -9
As per the question, we take the given points are (0, 3) and (4, -9).
So we can substitute these values into the formula:
m = (-9 - 3) / (4 - 0)
m = -12 / 4
Apply the division operation, and we get
m = -3
Therefore, the required slope of the linear equation is -3.
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The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
Please its due today
a) The domain and the range of the function are given as follows:
Domain: [-4,5).Range: [0,9].b) The zero of the function is given as follows: (3,0).
c) The behaviors are given by these following intervals:
Increasing: (-4,0) U (3,5).Decreasing: (0,3).Constant: DNE.d) The extremas are given as follows:
Relative minimum: (3,0).Relative maximum: (0,9).e) The function is neither even nor odd.
What are the features of the function?The domain of a function is the set that contains all the input values for the function, hence in the graph it is given by the values of x.
The range of a function is the set that contains all the output values for the function, hence in the graph it is given by the values of y.
The zeros are the points of the function at which it either crosses or touches the x-axis.
The function is increasing when the graph is moving up, and decreasing it the graph is moving down.
The extremas are given as follows:
Relative minimum: function changes from decreasing to increasing.Relative maximum: function changes from increasing to decreasing.The function is classified as even, odd or neither as follows:
Even: f(x) = f(-x) for all values of x.Odd: f(-x) = -f(x) for all values of x.Neither: none of the two above statements are true.More can be learned about functions at https://brainly.com/question/24808124
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Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?
Answer:
Step-by-step explanation:
no
Answer:
22:18
Step-by-step explanation:
In this case, firstly you have to add 11 and 9 together, which makes 20.
Then, 40 ( number of sweets ), divided by 20 gives us 2.
This means that every piece, or block, of our ratio will be 2.
Therefore, the last step is multiplying 11x2 and 9x2.
So, Andy has 22 sweets an Trevor has 18.
Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE
The scale factor of the drawing of the neighborhood park would be = 2000.
What is a scale factor?The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).
The width of the neighborhood park. in real life = 8 meters
To convert 8 meters to millimetres is to multiply by 1000
= 8 × 1000 = 8000 mm
The scale factor = 4 × X = 8000
make X the subject of formula;
X = 8000/4
X = 2000.
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Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
what is 20% of 14000
Answer:
2800
Step-by-step explanation:
20% of 14,000 is 2800
Multiply both sides by 14,000, then divide the left side to get the result.
Answer:
2800
is what the calculator says
Which of the options below are the terms of the expression 5x² + 9x + 6? Choose all of the correct answers. 5x 9x 6 X x² 5 5x² 9
The terms of the expression are 5x², 9x and 6
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.
They are also known to be made up of arithmetic operation, such as;
DivisionAdditionParenthesesMultiplicationSubtractionBracket, etcIt is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.
They can be regrouped by the addition of their coefficients. Like terms are those that has the same variables to the same powers or coefficients.
The types are;
5x², 9x and 6
Thus, they are 5x², 9x and 6
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Is x2 4x 4 a perfect square trinomial?
x² + 4x + 4, this is a perfect square trinomial, which is expressed as
(x + 2)²
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 4x + 4
= (x)² + 2(2x) + 4
= (x)² + 2(x)(2) + 2²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 2)²
= (x + 2) (x + 2)
so, this is a perfect square trinomial.
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What is log and example?
Logs are a type of mathematical operation used to solve exponential equations.
Logs are written as log boxes, where b is the base. The base is the number that the logarithm is being calculated concerning. The x is the number that the logarithm is calculated. Logarithms allow us to convert multiplication and division problems into addition and subtraction.
For example, log2 (8) can be calculated by taking the logarithm of 2, which is 0.301029996, and then multiplying it by 8, which is 2.408239965. This means that log2 (8) is equal to 2.408239965.
Another example is log10 (100). This can be calculated by taking the logarithm of 10, which is 1 and then multiplying it by 100, which is 100.
This means that log10 (100) is equal to 100. Logs are an important tool in mathematics and are used in a variety of fields, such as chemistry, engineering, and economics.
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The quotient of 18 and the number is three what is the number
Answer:
Step-by-step explanation:
Divide: 18 ÷3=?
The answer is 6
PLEASE HELP!!! WILL GIVES BRAINIEST!! PLEASE SHOW YOUR WORK!!
Answer:
0.0558
Step-by-step explanation:
3% is out of hundred so we multiply
3%×1.86=0.0558
Checking:
0.0558÷1.86=0.03
0.03=3%
1. A taxi charges a flat rate of $1.75 plus an additional $0.65 per mile. If Eli has at most $10 to spend on the cab ride, how far could he travel?
17 miles
12 miles
23 miles
9 miles
2. Which inequality matches the statement below?
Three-fourths times x added to two times x is more than eleven
3/4x + 2 > 11
2x + 3/4x > 11
3/4(x+2) > 11
3/4 + x + 2 + x > 11
Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that a taxi charges a flat rate of $1.75 and an additional $0.65 per mile.
Eli has at most $10 to spend on the cab ride
We need to find how far could he travel
1.75+0.65x≤10
Subtract 1.75 on both sides
0.65x≤10-1.75
0.65x≤8.25
x≤8.25/0.65
x≤12.6
So he could travel 12 miles.
Three-fourths times x added to two times x is more than eleven
3/4x+2x>11
Hence, Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
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Please answer this by 11/01/22. Thank you.
Answer: a) AE || BC b)AB=BC c)AE⊥ED &ED⊥CD
Step-by-step explanation:
a) The line segments that have the arrow sign on them mean that they are parallel, so AE || BC ( || = parallel to).
b) When two line segments have a dashed line on it, it shows that they are the same length, so AB is equal to BC.
c) when two segments intersect with a 90° angle, they are perpendicular, so AE⊥ED &ED⊥CD(⊥ = perpendicular to).
What is the length of a leg of a 45 45 90 right triangle if the hypotenuse measures 5 square root of 2?
If the leg of the triangle is equal to a, then:
The second leg is also equal to a.
the given hypotenuse is a√2.
The given area is equal to a²/2; and
The perimeter equals a (2 + √2).
Now, looks easy, but from where does it come? There are various of methods to prove that equation, the most popular of them are:
By using the Pythagorean theorem, we can do that.
As you know one leg length a, then you know the length of the other as well, as both of them are equal.
The given 45 45 90 triangle shows the remaining parameters. Now you know that:
hypotenuse length is - 9 in * √2 = 12.73 in.
area is - 9 in * 9 in / 2 = 40.5 in²; and
perimeter - 9 in + 9 in + 9 in * √2 = 30.73 in.
Find the hypotenuse from the Pythagorean theorem:
a² + b² = c² => a² + a² = c² so c = √(2a²) = a√2
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Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
Answer:
yes, the board is long enough
Step-by-step explanation:
5.5 in x 4 walls = 22 inches
The board is 24.5 in, so there is enough.
24.5 > 22, there is an extra 2.5 in left over.
The numerator of a fraction is 2 less than its denominator. If 3 is subtracted from the numerator and from the
denominator, the new fraction obtained is. Find the fraction.
A set of multimedia equipment costs $1900, By setting up an inequality, find the maximum number of sets of
The Fraction for the given word problem is x/y = 9/11
What is Fraction?A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.
Let the fraction be x/y
The numerator of a fraction is 2 minus its denomination.
⇒ x = y - 2 .....(i)
When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4
⇒ x - 3/y - 3 = 3/4
Can also be written as
⇒ 4(x + 3) = 3(y - 3)
⇒ 4x - 12 = 3y - 9
⇒ 4x - 3y = -9 + 12
⇒ 4x - 3y = 3 .....(ii)
Substitute the value of (i) in (ii)
⇒ 4x - 3y = 3
⇒ 4(y - 2) - 3y = 3
⇒ 4y - 8 - 3y = 3
⇒ y - 8 = 3
⇒ y = 3 + 8
⇒ y = 11
Putting the value of y in (i).
⇒ x = y - 2
⇒ x = 11 - 2
⇒ x = 9
Hence, Fraction = x/y = 9/11
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What is the value of x in the equation 2.5 6x 4 )= 10 4 1.5 0.5 x?
The value of x in this problem is 2.
Our given algebraic equation is 2.5 ( 6x - 4 ) = 10 + 4 ( 1.5 + 0.5x) and in this, we have to find the final value of x.
Use the transposing method to isolate the variable x and then solve for it.
distribute brackets on both sides of the equation.
= 2.5*6x - 2.5*4 = 10 + 4*1.5 + 4*0.5x
= 15x - 10 = 10 + 6 + 2x
collect terms in x to the left side and numeric values to the right side.
= 15x - 2x = 10 + 6 + 10
= 13x = 26
= x = 26/13 = 2
Therefore the final value of x in this equation will be 2.
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Why is the 4th interval called perfect?
The 4th interval is called perfect
The perfect fourth interval consists of two notes with five steps distance.
The 4th interval is called perfect
The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third and two semi-steps less compared to the perfect fifth .
The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated (an alternate spelling is augmented third).
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A quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation? 1/9. 1/3
3
9
Answer:
scale factor = 3
Step-by-step explanation:
since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.
given D (12, - 4 ) and D' (36, - 12 ) , then
scale factor = [tex]\frac{36}{12}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3
two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12
The probability is 0.3845.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.Explanation:
2/52 * 10/52 = 20/52 = 0.3845.
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Square root of 16b power four
Answer: 256b
Step-by-step explanation: So, first we need to find the square root of 16b.
That'd be 4b, because a square root is when a number can be divided by a number, such as 4 can go into 16 4 times, and like 5 can go into 25 5 times. So, we got 4b
So, 4 to the power of 4 (ignore the b right now) is the same as 4 x 4 x 4 x 4.
So simplified, that'd be 16 x 4 (64). So, 64 x 4 = 256.
So, I'd be 256b
Solve this problem
Step by step
The value of x in the shape we have here is given as 18.7 cm
How to solve for the value of xIn this question we are to find the value of x using the values that we already have in the shape.
The base of the diagram has its length as 40 cm.
The shape is made up of two right angled triangles.
since the top of the shape is 26 m, the triangles would be gotten by
40 - 26 = 14
14 / 2 = 7cm
each rectangular base is therefore 7 cm
we have to solve for the value of x using the Pythagorean theorem
hence we would have:
7² + x² = 20²
49 + x² = 400
x² = 400 - 49
x² = 351
x = 18.7 cm
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Solve the following equation by first writing the equation in the form a x squared = c: 3 a squared minus 21 = 27 a. a = 4 b. a = plus-or-minus 4 c. a = plus-or-minus 16 d. a = 16 Please select the best answer from the choices provided A B C D
The best answer from the choices provided is a = plus-or-minus 16 . Option C
What is a quadratic equation?A quadratic equation can be defined as an equation that can be rearranged in a standard form
Such that;
x represents an unknown value or variableThe variables, a, b, and c represent known numbersThe variable, a ≠ 0These quadratic equation are also described as polynomial equation having its highest degree as 2.
From the information given, we have that;
3a² - 21 = 27
collect like terms
3a² = 27 + 21
Add the values
3a² = 48
Divide both sides by 3
a² = 48/3
a² = 16
Hence, the value is a² = 16
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Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v
Answer:
hhhhhhhhhhhhhhhh hhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh
Geometry Questions....need help pls
This given figure carries onto themself at 360, 180, and 60 degrees respectively.
What does carrying a figure onto itself mean?If a rotation between 0° and 360° around the center of a figure in the plane may map the figure onto itself, the figure possesses rotational symmetry. From its starting point, the figure can be rotated and mapped onto itself. The symmetry is of order 4. As a result, the figure displays both rotational and line symmetry.
Given three figures those figures have rotational symmetry from their center point. The fixed point that the rotation revolves around in a figure or object with rotational symmetry is referred to as the center of rotation.
for figure 1
figure 1 does not have rotational symmetry on any given angles thus, its rotational symmetry would be 1 since it carries onto itself at 360°.
for figure 2
figure 2 has rotational symmetry at 180°. thus, its rotational symmetry would be 2 since it carries onto itself at 180° and 360°.
for figure 3
figure 3 has rotational symmetry at 60, 120, 180, and 240. thus, its rotational symmetry would be 6 since it carries onto itself at 60, 120, 180, 240, and 360°.
therefore, the given figures have 1, 2, and 6 rotational symmetry.
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483000 in standard form
Answer:
483000
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
Answer:
48300000
We can write the above number as
4.83 x 10000000
=4.83 x 10 ^7