250.
To determine the 4th term in a geometric sequence, start with the first term and use the common ratio. In this case, the first term is -2 and the common ratio is -5. The formula for finding the nth term of a geometric sequence is an = a1 * r(n-1).
Identify the values: a1 = -2, r = -5, n = 4.
Substitute into the formula: a4 = -2 * (-5)(4-1).
Calculate the 4th term: a4 = -2 * (-5)3 = -2 * (-125) = 250.
Simplify six to the -3rd power over six to the fifth power
Solve 2a 2 - 3a - 2 = 0
{-1/2, 2}
{1/2, -2}
{}
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?
7 < h < 9
7 > h > 9
h < 7 or h > 9
h > 7 or h < 9
Answer:
Option C is correct.
The inequalities can be written as one statement as : h<7 or h>9
Step-by-step explanation:
Let h be the working hours
Antonio can drive home after working less than 7 hours.
Less than symbol represented by ('<')
then, we have h<7
Antonio after working more than 9 hours.
More than symbol represented by ('>').
then, we have h>9
Since, we use inequalities when there is a range of possible answers for a given situation
Now, as per the given statement,
the inequalities can be written as one statement as; h<7 or h>9
Of the 240 shirts on a rack, 40 percent are size medium. How many shirts on the rack are size medium?
First, let’s check for the given:
Shirts on the rack = 240
Medium size shirts = 40% of 240
With the following given, we can now solve for the total
number of shirts on the rack that are size medium.
So, in order to solve for the problem, we multiply 40% to 240:
The decimal equivalent of 40% is 0.4.
240 shirts * .4 = 96 shirts
Therefore, out of 240 shirts on the rack, there are 96 shirts on the rack that are size medium.
To add, the number or ratio that represents a fraction of 100 is called a percentage.
A triangle can have sides whose lengths are 9cm, 16cm, and
Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%,what is the sale price of the jeans including tax?
Suppose you roll two standard number cubes once. Find the probability. P(7 or even)
To roll a seven you could have (1,6) (6,1) (2,5) (5,2) (3,4) (4,3)
6 different ways so 6/36 reduces to 1/6 way of getting a 7
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 ways, probability is 18/36 reduces to ½
So for either one you now have 1/6 + 1/2 = 6+2/12 = 8/12 reduced to 2/3
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone is what shape?
Answer:
The answer is a triangle.
Step-by-step explanation:
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.
A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.
For better visualization, you can also see the attached image.
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.
The answer is a triangle.
A cross-section of a cone taken perpendicular to the base and intersecting the apex of the cone is a triangle.
When you cut a cone perpendicular to its base and through its apex, the resulting cross-section will be a triangle. The shape of the cross-section depends on the angle at which you make the cut. If the cut is parallel to one of the sides of the cone, the cross-section will be a right-angled triangle.
If the cut is made at an angle to the sides of the cone, the cross-section will be an isosceles or scalene triangle.
In any case, the cross-section will always be a triangular shape with its vertices at the apex of the cone and the points where the cut intersects the base of the cone.
A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.
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Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
How much money does Sarah have left?
Write your answer as an expression.
True or false, the product of two rational numbers is never equal to 1.
The product of two rational numbers can indeed be equal to 1. For example, 2/3 (two-thirds) and 3/2 (three-halves) are both rational numbers, and their product is 1.
Explanation:The product of two rational numbers can indeed equal to 1. This is a False statement. For example, if we take 2/3 (two-thirds) and 3/2 (three-halves), both are rational numbers because they can be expressed as fractions, i.e., ratios of two integers. In this case, if we multiply these two numbers together, i.e., (2/3)*(3/2), we get 6/6, which equals 1. Therefore, it's possible that the product of two rational numbers can equal 1, hence proving the provided statement to be false.
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-cz+6z=tz+83 solve for z
Answer:
The value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]-cz+6z=tz+83[/tex]
Subtract tz from both the sides.
[tex]-cz+6z-tz=tz-tz+83[/tex]
[tex]-cz+6z-tz=83[/tex]
Take z common.
[tex]z(-c+6-t)=83[/tex]
[tex]z(6-c-t)=83[/tex]
Divide 6-c-t from both the sides.
[tex]\frac{z(6-c-t)}{6-c-t}=\frac{83}{6-c-t}[/tex]
[tex]z=\frac{83}{6-c-t}[/tex]
Thus, the value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].
please help! I have a deadline tonight!!!!
how do you reduce the fraction of 28/49
What type of stock receives an equal part of the profits on each share to be distributed after all other obligations of a company have been satisfied?
Find the area of the composite figure.Use 3.14 for pi.
area for the triangle section is 1/2 x b x h: 1/2 x 16 x 10 = 80 square m
area for half circle = 1/2 x 3.14 x 8^2 = 100.48 square m
100.48 + 80 = 180.48 square meters
Solve the system of equations.
11x+4y=-46
7x-4y=10
The solution is x = -2 and y = -6.
What are linear equations?First-order equations are linear equations. The coordinate system defines the linear equations for lines. A linear equation in one variable is one in which there is only one variable and the equation has a homogeneous variable of degree 1. There can be more than one variable in a linear equation. When there are two variables in a linear equation, it is referred to as a "linear equation with two variables" and so on.
Given equations 11x + 4y = -46
and 7x - 4y = 10
add both equations
11x + 4y + 7x - 4y = -46 + 10
18x = -36
x = -36/18
x = -2
substitute the value of x in equation
11x + 4y = -46
11(-2) + 4y = -46
4y = -46 + 22
4y = -24
y = -6
Hence the solution for given equations is x = -2 and y = -6.
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A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?
Write 2 expressions that represent the areas of 4 triangles
Pls solve 7x-4(6-x)+12 and show steps pls.
What is the value of x/3y , when x = 18 and y = 3?
3/18
2
3
6
x = 18
y = 3
x/3y becomes 18/3(3) = 18/9 = 2
Point D represents a negative number. Which point represents the opposite of that number?
The negative number - 7 and its opposite number 7 are represented on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Point D represents a negative number which is -7.
We know that if the number is 'a', then the opposite number of the number 'a' will be '-a'.
Then the point representing the opposite of that number will be given as,
⇒ -(-7)
⇒ 7
The negative number - 7 and its opposite number 7 are represented on the number line.
The diagram is given below.
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The complete question is given below.
Point D represents a negative number which is - 7. Which point represents the opposite of that number?
A bicycle wheel makes 5 revolutions. Determine how far the bicycle travels in feet. The diameter of the wheel is 32in.
Please help!! I attached an image, will give most brainliest
517.21 km what is the nearest 10km?
Daniel and Sofia both solve this system of equations: y = -1.5x + 5.7 y = 0.5x + 0.3 Daniel's solution is (1.1, 2.4). Sofia's solution is (2.7, 1.65). They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?Daniel is more likely to be correct. The x-coordinate of the intersection is between 1 and 2 and the y-coordinate of the intersection is between 2 and 3. Sofia is more likely to be correct. The x-coordinate of the intersection is between 2 and 3 and the y-coordinate of the intersection is between 1 and 2. or niether
Answer:
Sofia is more likely to be correct
=)
Step-by-step explanation:
Which is the general form of the equation of the circle shown? x2 + y2 + 4x – 2y – 4 = 0 x2 + y2 + 4x – 2y + 2 = 0 x2 + y² – 4x + 2y – 4 = 0 x2 + y² – 4x + 2y + 2 = 0
Answer:
THE ANSWER IS A
Step-by-step explanation:
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Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 and 35.42
SET B: 781 and 78.1
SET C: 1.2 and 01.20
PLease Answer!
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
the answer is x>1610
A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.
In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the number of times you would win? Round off your answer to the nearest whole number.