Type the integer that makes the following addition sentence true:
+ 4 = 4
Monica wants to make sure that her sentences are easily understood. how long should she make them?
a. an average of 28 words
b. no more than 8 words
c. at least 30 words
d. an average of 20 words
James built a small electric car and recorded the distance it traveled. The table below shows the distance traveled (n) during the first 4 seconds after starting (f). Elapsed Time (seconds) Distance Traveled (feet) 1 6.2 2 12.4 3 18.6 4 24.8 Which of the following equations represents the relationship between the distance traveled and the elapsed time? f = 6.2 + n n = 6.2 + f f = 6.2n n = 6.2f
Answer:
Answer: n = 6.2 f
Step-by-step explanation:
so you only know the answer
Which value of r indicates a stronger correlation: r equals=0.828 or r equals= −0.879? explain your reasoning?
A value of r = 0.828 indicates a stronger positive correlation, while r = -0.879 indicates a stronger negative correlation.
Explanation:A stronger correlation is indicated by a value closer to 1 or -1. In this case, r = 0.828 indicates a stronger positive correlation, whereas r = -0.879 indicates a stronger negative correlation. The closer the absolute value of r is to 1, the stronger the correlation. A value of r = 0.828 suggests a strong positive relationship between two variables, while a value of r = -0.879 suggests a strong negative relationship.
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which formula can be used to describe the sequence? 1.2, 3, 7.5, 18, 7.5, ...
Answer:
Option A) [tex]1.2(2.5)^{x-1}[/tex]
Step-by-step explanation:
We are given a series:
[tex]1.2, 3, 7.5, 18.75, ...[/tex]
We know that the given series is a geometric series as
[tex]\displaystyle\frac{3}{1.2} = \frac{7.5}{3} = \frac{18.75}{7.5} = 2.5[/tex]
Geometric Series:
A geometric series is a series with a constant ratio between successive terms. The first term is represented by aIn the given series a = 1.2The common ratio is denoted by rFor the given series r = 2.5The [tex]n^{th}[/tex] term of a geometric series is given by:
[tex]a_n = a(r)^{n-1}[/tex]
[tex]a_1= 1.2\\a_2 = 1.2(2.5)^{2-1} = 3\\a_3 = 1.2(2.5)^{3-1} = 7.5\\a_4 = 1.2(2.5)^{4-1} = 18.75[/tex]
Thus, the general term of the given series can be formulated with the help of [tex]f(x) = 1.2(2.5)^{x-1}[/tex]
Option A) [tex]1.2(2.5)^{x-1}[/tex]
How many solutions can be found for the linear equation?
(3x + 12) 3 - 1 = (4x + 16) 2
one solution
Step-by-step explanation: i just did the test lol
The planet Mercury orbits around the sun at 29.74 miles per second. How many miles will mercury travel in 1 minute?
Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
Answer:
y = -1/34 . x + 167/17
Step-by-step explanation:
The slope-intercept form of a linear equation is:
y = m.x + b
where,
m is the slope
b is the y-intercept
Line v is perpendicular to the graph of y = 34 x - 11. If 2 lines are perpendicular, the slope of one is the inverse and opposite of the other. Then, the slope of v is -1/34.
Line w is parallel to line v. When 2 lines are parallel, they have the same slope.
The equation of w is:
y = -1/34 . x + b
Lines b passes through the point (-6, 10). We can replace this ordered pair in the previous equation to find the value of b.
10 = -1/34 . (-6) + b
b = 167/17
The equation of w is:
y = -1/34 . x + 167/17
One half of a number y is more than 22
Answer:
Inequality: [tex]\frac{y}{2}>22[/tex]
Solution: [tex]y>44[/tex]
Step-by-step explanation:
We are supposed to write and solve an inequality for the given verbal description.
One half of a number y would be y divided by 2: [tex]\frac{y}{2}[/tex].
Since one half of a number y is more than 22, so we can set an inequality as:
[tex]\frac{y}{2}>22[/tex]
Multiply both sides by 2:
[tex]\frac{y}{2}*2>22*2[/tex]
[tex]y>44[/tex]
Therefore, the solution to our given inequality is any value of y greater than 44.
what does u stand for and could you make your answer a little clearer please?
One side of a rectangle is 18 inches and the other side is x inches. What values of x will make the perimeter more than 56 inches?
what inequality represents the verbal expression? 8 less than a number n is less than 11
The inequality representing the verbal expression '8 less than a number n is less than 11' is written as 'n < 19'. This is found by adding 8 to both sides of the inequality 'n - 8 < 11'.
Explanation:The inequality that represents the verbal expression '8 less than a number n is less than 11' can be translated into a mathematical inequality as follows. First, '8 less than a number n' means you take 8 away from n, which is written as n - 8. Then, this quantity being 'less than 11' is represented by the inequality n - 8 < 11. To find the range of values for n, we solve this inequality.
Step 1: Add 8 to both sides of the inequality to isolate n -
n - 8 + 8 < 11 + 8
Step 2: Simplify -
n < 19
Therefore, the inequality symbol that represents the verbal expression is n < 19.
The inequality that represents the verbal expression '8 less than a number n is less than 11' is 8 < n < 11. The symbol '<' represents 'less than' and since the number n is between 8 and 11, we use the inequality symbol '<' twice.
The inequality that represents the verbal expression '8 less than a number n is less than 11' is 11 > n - 8 > 8.
Explanation:The inequality that represents the verbal expression '8 less than a number n is less than 11' is 11 > n - 8 > 8. This inequality states that the number n, decreased by 8, is greater than 8 and less than 11.
if 45 people enrolled in a psychology course but only 35 completed it, what percent of the students completed the course
there is 4/5 lb of sand in the class science supplies. if one scoop of sand weighs 1/20 lb, how many scoops of sand can maria get from the class supplies and still leave 1/2 lb in the supplies
If a dilation is applied to a triangle, then the image must be _____
Answer: I believe it would be "larger or smaller triangle" due to when dilation is applied it mostly only changes the size of the figure but never changing its shape. Hope this helps :)
Compare and contrast the absolute value of a real number to that of a complex number
Answer:
The absolute value of a real number is the distance from 0 on the number line. The absolute value of a complex number is the distance from the origin in the complex plane. Both are distances, and therefore both are positive values. You need to use the distance formula or the Pythagorean theorem to calculate the absolute value of a complex number.
Step-by-step explanation:
Use the distance formula or the Pythagorean theorem to calculate the absolute value of a complex number.
What is a complex number?Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labeled I sometimes known as the imaginary unit, and satisfies the equation i² = 1.
The absolute value of a real number is the distance from 0 on the number line. The absolute value of a complex number is the distance from the origin in the complex plane.
Both are distances, and therefore both are positive values. You need to use the distance formula or the Pythagorean theorem to calculate the absolute value of a complex number.
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find two numbers the quotient is between 67÷4
What does it mean to say that a shape has an area of 8 square inches?
Final answer:
To say a shape has an area of 8 square inches means the shape covers 8 units of square inches. For similar shapes, the area comparison is the square of their scale factor; hence, if one shape's dimensions are twice another's, its area is four times larger.
Explanation:
When it is said that a shape has an area of 8 square inches, it means that the surface enclosed by the shape covers 8 units of square inches. In other words, you could fit 8 squares, each measuring 1 inch by 1 inch, inside the shape without overlapping or leaving any space inside the shape uncovered. To understand how the area of similar shapes compares, we can look into the problem involving two squares.
Marta has one square with a side length of 4 inches. A similar square has dimensions that are twice as large, meaning its side lengths are 8 inches. The area of the smaller square can be calculated as 4 inches x 4 inches, which equals 16 square inches. The area of the larger square would be 8 inches x 8 inches, resulting in 64 square inches. The ratio comparing the two areas is 64:16, which simplifies down to 4:1. This shows that the larger square's area is four times greater than that of the smaller square.
An area of 8 square inches means the shape covers a space equivalent to eight 1-inch by 1-inch squares.
To say that a shape has an area of 8 square inches means that the amount of space enclosed within the boundaries of the shape is equivalent to the area of eight 1-inch by 1-inch squares. Imagine a piece of graph paper where each small square is 1 inch by 1 inch.If the shape could be perfectly copied onto the graph paper, you would find that it covers eight of those squares.For example, an area of 8 square inches could be visualized by a variety of shapes: a rectangle measuring 2 inches by 4 inches or even an irregular shape that neatly fits inside the same area.In mathematics, there are various ways to calculate the area depending on the shape. For regular shapes like rectangles and circles, formulas are often used. But the fundamental idea of area — the measure of the space inside a shape — remains the same.If g'(3)=8 and h'(-3)=6, find f'(-3) for f(x)=-3g(x)-2h(x)+3
Find the slope of the graph of the function y=5x/x-2 at (3,15). Then find an equation for the line tangent to the graph at that point.
The slope of the graph at the point (3,15) is -10. The equation of the tangent line at that point is y = -10x + 45.
Explanation:To find the slope of the graph, we need to differentiate the equation y=5x/(x-2). Using the quotient rule, the derivative of this equation is (5(x-2) - 5x)/(x-2)². Simplifying this further, we get -10/(x-2)². Now, substitute the x-coordinate of the point (3,15) into the derivative to find the slope at that point. Substituting x=3, we get a slope of -10/1 = -10.
To find the equation of the tangent line at the point (3,15), we use the point-slope form of a line, y - y1 = m(x - x1). Substituting the slope (-10) and the coordinates of the point (3,15) into this equation, we get y - 15 = -10(x - 3). Simplifying further, we get y - 15 = -10x + 30. Rearranging the equation, we get y = -10x + 45. Therefore, the equation of the tangent line to the graph at the point (3,15) is y = -10x + 45.
The volume of a cone is 31.4 cm3 and the radius is 2 cm. What is the height of the cone? Use 3.14 for π. Round to the nearest tenth, if needed.
A) 22.5 cm
B) 7.5 cm
C) 15 cm
D) 41.9 cm
Describe how to substitute an ordered pair into an equation
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How many times can you put 555555 in 52222854
Which statement is true about this argument? Premises: If a triangle has an angle that measures 150°, then it is an obtuse triangle. △JKL is an obtuse triangle. Conclusion: △JKL has an angle that measures 150°.
A) The argument is not valid because the premises are not true.
B) The argument is valid by the law of syllogism.
C) The argument is not valid because the conclusion does not follow from the premises.
D) The argument is valid by the law of detachment.
A bacteria has a doubling period of 10 days. If there are 2100 bacteria present now, how many will there be in 45 days?
First we must find the daily growth rate (Don't round up, keep all the decimal places) .
The growth rate is:
There will be (_) bacteria.
Jackson's mom gave him $1.50 each day to buy his lunch. How much money would she give him each week?
A)
$1.50 x 5 = $15.00
B)
$1.50 x 5 = $0.75
C)
$1.50 x 5 = $75.00
D)
$1.50 x 5 = $7.50
Option D. $1.50 x 5 = $7.50
For week:
$1.50 x 5
= $7.50
So, the correct answer is D) $1.50 x 5 = $7.50.
A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. imagine you stick your hand into the refrigerator and pull out a piece of fruit at random. what is the sample space for this process?
What is 571,951 in written form
Jacqueline leaves city a at 2:00 p.m. and drives at a constant speed, traveling west on i-90. she passes city b, 40 mi from city a, at 2:50 p.m. (a) find a linear function d that models the distance (in mi) she has traveled after t min.
Jacqueline's speed is 0.8 miles per minute. The linear function representing the distance she has traveled in t minutes is d(t) = 0.8t. This equation means Jacqueline would have covered 0.8t miles after any given time t.
Explanation:The subject of this question is a linear function in mathematics, more specifically, it is about the concept of speed and distance. The question describes the journey of a person named Jacqueline who is traveling at a constant speed.
Given that city B is 40 miles from city A and it took Jacqueline 50 minutes to cover that distance, we can easily calculate her speed. Speed = Distance / Time. Therefore, her speed is 40 miles / 50 minutes = 0.8 miles per minute.
The linear function d, which models the distance she has traveled after t minutes would, therefore, be d(t) = 0.8t. The coefficient 0.8 indicates the speed, and the variable t is the time spent traveling. So, after any given number of minutes t, Jacqueline would have covered 0.8t miles on her journey.
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