The expression is written as a number in scientific notation as 2.16 × 10^1. Option B
What is scientific notation?Scientific notation can be described as a form of expressing or representing large numbers or very small numbers in a more simpler form.
It is also called index form or standard form.
From the information given, we have;
3.6 times ten to the fifth power = 3. 6 × 10^51.5 times ten to the negative eighth power = 1. 5 × 10^82.5 times ten to the negative fourth power = 2. 5 × 10^4Now, let's substitute the values
3. 6 × 10^5 × 1. 5 × 10^8/2. 5 × 10^4
Multiply the decimals and add the powers
5. 4 × 10^5/2. 5 × 10^4
Divide the values and subtract the powers, we get
2. 16 × 10^5-4
2. 16 × 10^1
Hence, the value is 2. 16 × 10^1
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Answer:
The expression is written as a number in scientific notation as 2.16 × 10^1. Option B
Step-by-step explanation:
what is equilvalent to the square root of -2.
Answer:
1.4142135623730951i
Step-by-step explanation:
Did it help pls make me the brainliest and you can round your answer to how you want it and if not that's you answer thank you.
The price of a pair of shoes after 8% sales tax was added was $77.76. Find the original price before sales tax
Answer: $71.53
Step-by-step explanation:
77.76 = 100%
Use the given point on the terminal side of the angle theta to find the value of the trigonometric function instead
Csc theta (6,4)
Answer:
D) (√13)/2
Step-by-step explanation:
You want to know the cosecant of the angle measured clockwise from the +x axis with point (6, 4) on its terminal side.
CosecantThe cosecant of the angle is the ratio of the point's distance from the origin to the y-coordinate.
The distance from the origin is found using the Pythagorean theorem:
d = √(x²+y²) . . . . . . . distance from the origin to (x, y)
d = √(6² +4²) = √52 = 2√13
Then the desired ratio is ...
csc(θ) = d/y = (2√13)/4
csc(θ) = (√13)/2
-8x < 32
Do what on both sides and change or keep the inequality sign?
See picture please
The required solution of the given inequality is given as x > 4, and the answer for the blanks is to Divide both sides by -8 and change the inequality sign.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
-8x < 32
Divide both sides by -8
x > 4
The sign of the inequality change because multiplication with the negative value changes the inequality sign and the higher negative value is the least value.
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Write an equation and use it to solve for x.
The value of the x would be 9.
Option (A) is correct.
What is a complementary angle?
A complementary angle is an angle that, when added to another angle, forms a right angle (90 degrees). Complementary angles are pairs of angles that add up to 90 degrees.
Angle JKM and angle MKN are complementary angles
so
(3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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After solving the equation the value of the x would be 9. Therefore, the correct option is A.
What is a complementary angle?
A complementary angle is a pair of angles that add up to 90 degrees. Complementary angles can be adjacent angles, or angles that share a common vertex and side, or they can be nonadjacent angles that have no common points or sides. Complementary angles are usually referred to by their sum, such as "90-degree angles" or "angles that add up to 90 degrees." Complementary angles can also be called supplementary angles when they add up to 180 degrees.
Angle JKM and angle MKN are complementary angles
so (3x + 2) + (6x + 7) = 90
9x + 9 = 90
9(x + 1) = 90
x + 1 = 10
x = 9
Hence, the value of the x would be 9.
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A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
The sum of the lengths of two sides is equal to the length of the third side is 45°.
What is Triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.As we discussed in the introduction, a triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry. Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.To learn more about vertex of the triangle refer to:
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If f(x)=-x+6 and g(x)=-x^2-2x+8, the solutions to the equation f(x)=g(x) are x= and x=
The solution to the equation f(x)=g(x) are x=-2 and x=1.
What is solution to an equation?The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given functions are f(x)=-x+6 and g(x)=-x²-2x+8.
Now, f(x)=g(x)
-x+6=-x²-2x+8
⇒ x²+x-2=0
⇒ x²+2x-x-2=0 (Splitting middle term method)
⇒ x(x+2)-1(x+2)=0
⇒ (x+2)(x-1)=0
⇒ x+2=0 and x-1=0
⇒ x=-2 and x=1
Therefore, the solution for the obtained equation are x=-2 and x=1.
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A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles.
If I marble is chosen at random, which is the probability that it will be a blue marble?
Answer:1/3
Step-by-step theexplanation:1/3 is the probablility of the marbles
what is the square root of 1476
Hi sorry for the mistake this is the photo I was meant to post and I need help with number 6(iii)
Answer:
-2
Step-by-step explanation:
Given,
g(x) = f(4)
or, 2 - 4x = 3*4 - 2
or, 2 - 4x = 10
or, 2 - 10 = 4x
or, -8 = 4x
or, x = -2
PLS HELP ME I NEED IT I PUT A PICTURE
Answer: <D, < E, <C
Step-by-step explanation:
What is (x + 3)(x - 5) in generic rectangle
the area of the generic rectangle will be x²-2x-15.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
Area of rectangle is A = a*b
(x + 3)(x - 5) in a generic rectangle
The product will give the area
x²-2x-15
hence the area of the generic rectangle will be x²-2x-15.
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Help me !!??!!!????please
solve for x.
enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x + x - x = x
explanation:
give us the actual formula lol
The following figure was drawn using a straightedge and a compass. Where was the point of the compass located in order to make the arcs?
1. points X and Y
2. point D
3. point C
4. points A and B
The point of the compass located in order to make the arcs is points X and Y.
Define arc.An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc. A circle contains an arc. For instance, a quarter-circle and a semicircle are both examples of arcs. A minor arc is one that is smaller than half of the circle it is a part of, or less than a semicircle, whereas a major arc is one that is more than half of its circle.
Given
The following figure was drawn using a straightedge and a compass.
The point of the compass located in order to make the arcs:
1. points X and Y
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Find the sum of (–4 i) and (10 – 5i). –3 5i –3 – 5i 6 – 4i 6 – 6i
The sum of the two complex numbers will give:
(-4 + i) + (10 - 5i) = 6 - 4i
So the correct option is the third one.
How to add two complex numbers?Let's assume we have two complex numbers which are:
A = a + bi
B = c + di
The sum between these two complex numbers is:
A + B = (a + bi) + (c + di)
Taking i as a common factor we can rewrite:
(a + bi) + (c + di) = a + c + (b + d)i
And that is the general sum.
Here we want to solve:
(-4 + i) + (10 - 5i)
Again, if we take i as a common factor we can rewrite:
-4 + 10 + (1 - 5)*i
6 - 4i
So the correct option is the third one.
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Pythagorus' theorem, explain why the length of AC is 17 cm
Answer:
see below.
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] + [tex]15^{2}[/tex] = [tex]c^{2}[/tex]
64 + 225 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]
17 = c
HELP ME PLEASE!!!!!!!!!!!!!!!!!
The figure shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of a rectangle labeled A is shown on ordered pair 1, 1 and 3, 1 and 3, 2 and 1, 2. Another image of a rectangle labeled B is shown on ordered pair 2, 2 and 6, 2 and 6, 4 and 2, 4. Another image of a rectangle labeled C is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3 , 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? (5 points) A and B are similar but not congruent. A and C are similar but not congruent. A and B are similar and also congruent. B and C are similar and also congruent.
Answer:
(a) A and B are similar but not congruent
Step-by-step explanation:
All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.
Print Prince is a printing company that charges a $14.95 set-up fee and $0.03 per copy to print brochures. Emilio is charged $32.20 to print brochures that will be distributed to promote the annual science fair. Write an equation then solve
Hello,
I hope you and your family are doing well!
To solve this problem, we can use the formula:
total cost = set-up fee + (cost per copy * number of copies)
In this case, we know the total cost and the set-up fee, and we want to find the number of copies. We can substitute these values into the formula and solve for the number of copies:
$32.20 = $14.95 + ($0.03/copy * number of copies)
Subtracting the set-up fee from both sides of the equation gives:
$17.25 = $0.03/copy * number of copies
Dividing both sides of the equation by the cost per copy gives:
number of copies = $17.25 / $0.03/copy = 575 copies
So Emilio was charged $32.20 to print 575 copies of the brochures.
Please rate this 5 stars and brainliest if you find it helpful!
Happy Holidays!
A customer paid a total of $6.00 for 68 copies at a print shop. Some copies were black and white copies, the rest were color copies.
• each black and white copy cost $0.08
• each color copy cost $0.15
Which system of equations can be used to find b, the number of black and white copies and c, the number of color copies that the customer paid for at the print shop?
Answer:
D. b + c = 68
0.08b + 0.15c = 6.00
Step-by-step explanation:
The total cost is $6.00
The total amount of copies is 68
To find the total cost, we multiply the amount of copies by the individual price. So we get
0.08b + 0.15c = 6.00
We add the amount of copies bought to get a total of 68, so we get this equation:
b + 6 = 68
What is the solution to this
inequality?
8.6 ≤ x - 5 4/5
Answer:
x ≥ 72/5
8.6 ≤ x -5 4/5= 8.6 ≤ x -29/5
8.6 ≤ x -29/5= x ≥ 72/5
Solve the Cryptarithm,
BIRD
FOOD
+GRID
which equals GRAIN.
Also note that food is a multiple of 1279 and that it is a prime number.
Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378==13674.
What is a cryptarithmetic problem?Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378==13674
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Using the rules of cryptarithmetics problems and with the provided words and condition for a word, The answer is 9738+2558+1378 =13674.
What is a cryptarithmetic problem?
Mathematical puzzles known as cryptarithmetic problems use letters from the alphabet in place of the digits.
What is reverse cryptarithm?
A rare version in which a formula is written and the matching cryptarithm's solution is the supplied formula is used to find the solution.
since the digits used are 0 to 9.
first letter can't be zero.
and we can't repeat the same digit for same different alphabets.
Using these rules with the condition that food is multiple of 1279.
The answer is : 9738+2558+1378 = 13674
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I don’t understand geometry
Answer:
me either
Step-by-step explanation:
Given f(x) = x² + 4x, find the average rate of change of f(x) on the interval [4, 4+h]. Your answer will
be an expression involving h.
Step-by-step explanation:
please refer to the attached sketch for the answer.
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game.
How many points did Carlos score?
The number of points that Carlos score based on the information is 19 points.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
In this.case, Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos.
Let Carlos point = x
Fabio point will be = 2x - 7
The equation will be:
2x - 7 = 31
2x = 31 + 7.
2x = 38
Divide
x = 19
Carlos had 19 points
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equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven
Answer:
management accountant prepared a decision model which solve sell at split off or process
further decision problem. Which function did he provided?
A. Scorekeeping function C) Problem solving function
B. Attention directing function. D) Record keeping function E) None
NEED HELP ASAP!
Refer to the triangle.
What is the length of side AB?
(Blank) units
After solving the equation the length of AB is [tex]2\sqrt{3}[/tex]
What do you mean by trigonometry?
Trigonometry “triangle” and “measure”) is a branch of mathematics that studies the relationship between the side lengths and angles of triangles.
A trigonometric ratio is the ratio between the edges of a right triangle.
The sine function (sin) defined as the ratio of the opposite side of the angle to the hypotenuse.
In the given triangle ABC , use sin ratio to find AB.
tan θ = P/B
tan 30 = AB/6
[tex]\frac{1}{\sqrt{3} } =AB/6[/tex]
AB = [tex]\frac{6}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }\times \frac{\sqrt{3}}{\sqrt{3}}= \frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
Therefore, length of AB is [tex]2\sqrt{3}[/tex]
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Write the simplest polynomial function with the given root: -5, square root of 2, and -3i.
The needed 3rd-degree polynomial function with real coefficients matching the specified constraints will be y=-5x³+10x²-45x+90.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. Polynomials are sums of k-x^n terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial.
Here,
y=-5(x-2)(x-3i)(x+3i)
y=-5(x-2)(x²+9)
y=-5(x³-2x²+9x-18)
y=-5x³+10x²-45x+90
The required 3rd-degree polynomial function with real coefficients satisfying the given conditions will be y=-5x³+10x²-45x+90.
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The endpoints of AB are A(-8, 1) and B(4, -7).
What are the coordinates of point Con AB that is
34
the distance from point A to point B?
∞
6
4
The Co-ordinates of the point C that divides the line in the ratio of 3:4 is (-20/7, -17/7)
What is Section Formula?
The Section formula is used in coordinate geometry to compute the ratio of a line segment split by a point, either internally or externally. It determines the centroid, incenter, and excenters of a triangle. It is used in physics to determine the centre of mass of systems, equilibrium locations, and so on.
Solution:
A(-8, 1) and B(4, -7)
Ratio is 3:4
Section Formula is (mx2 + nx1/ m + n), (my2 + ny1/ m + n)
m = 3 and n = 4
Co-ordinates of C are (3*4 + 4*(-8)/ 3+4), (3*(-7) + 4*1 / 3+4)
= (12 - 32 / 7), (-21 + 4 / 7)
= (-20/7, -17/7)
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Point B has coordinates (5,2). The x-coordinate of point A is -3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answer:
The possible coordinates of point A are (-3, 8) and (-3, -4).
Step-by-step explanation:
We can find the possible coordinates of point A by using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is equal to the square root of (x2-x1)^2 + (y2-y1)^2. We know that the x-coordinate of point A is -3 and the distance between point A and point B is 10 units. We can use this information to solve for the y-coordinate of point A:
Copy code
d = sqrt((x2-x1)^2 + (y2-y1)^2)
d = sqrt((5-(-3))^2 + (2-y1)^2)
d = sqrt(8^2 + (2-y1)^2)
d = sqrt(64 + (2-y1)^2)
d = sqrt(64 + (y1-2)^2)
d = 10
sqrt(64 + (y1-2)^2) = 10
64 + (y1-2)^2 = 100
(y1-2)^2 = 36
y1-2 = +/- 6
y1 = 8 or -4
Therefore, the possible coordinates of point A are (-3, 8) and (-3, -4).
