Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer?
The second integer is negative.
The second integer is positive.
The second integer is greater than the first integer.
The second integer is less than the first integer.
Answer:
c)The second integer is greater than the first integer
Step-by-step explanation:
In mathematics, a number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
A number line can be extended infinitely in any direction and is usually represented horizontally, with 0 in the middle and negative numbers on the left and positive numbers to the right of zero.
Thus a number line can be used to represent both positive and negative rational numbers as well as integers.
The numbers to the left are less than that to the right
Hence here the option c) is right
tossing a number cube numbered from 1 to 6 and getting an odd number that is less than or equal to 3
tickets to a play cost $11 each. There is also a service charge of $4 per order. Write ab equation for the relationship that gives the total cost y in dollars for an order of x tickets.
The equation representing the total cost of an order of tickets is y = 11x + 4, where y is the total cost and x is the number of tickets.
Explanation:The problem involves a constant service charge and a variable cost that depends on the number of tickets bought. In this case, the constant cost is the $4 service fee and the variable cost is the $11 per ticket. We express this relationship with the equation y = 11x + 4, where y is the total cost and x is the number of tickets purchased.
Learn more about Equation writing here:https://brainly.com/question/35560120
#SPJ2
the average adult human has approximately 2.5 x 10 ^ 13 red blood cells + 7 x 10 ^ 9 white blood cells about how many times as great is the number of red blood cells than the number of white blood cells
Find the area under the curve y = 5/x3 from x = 1 to x = t. evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 t = 100 t = 1000 find the total area under this curve for x ≥ 1.
The area under the curve from x = 1 to x = t is [tex]-\frac{5}{2} (\frac{1}{t^2} -1)[/tex].
For, t = 10, 100, and 1000, the areas are 2.475, 2.49975, and 2.4999975 respectively.
The total area is 2.5.
Given that:
[tex]y=\frac{5}{x^3}[/tex]
In order to find the area integrate it with limits from x = 1 to x = t.
[tex]A=\int\limits^t_1 {\frac{5}{x^3} } \, dx[/tex]
This can be written as:
[tex]A=\int\limits^t_1 {5x^{-3} } \, dx[/tex]
[tex]=5[\frac{x^{-2}}{-2} ]_1^t[/tex]
[tex]=-\frac{5}{2} (t^{-2}-1^{-2})[/tex]
So, the area is [tex]A=-\frac{5}{2} (\frac{1}{t^2} -1)[/tex].
When t = 10,
[tex]A=-\frac{5}{2} (\frac{1}{10^2} -1)[/tex]
[tex]=2.475[/tex]
When t = 100,
[tex]A=-\frac{5}{2} (\frac{1}{100^2} -1)[/tex]
[tex]=2.49975[/tex]
When t = 1000,
[tex]A=-\frac{5}{2} (\frac{1}{1000^2} -1)[/tex]
[tex]=-2.4999975[/tex]
To find the total area, the value of t = ∞.
Now, ∞⁻² is always 0, since any negative number to the power of infinity is 0.
So, the area is:
[tex]A=-\frac{5}{2} (0-1)[/tex]
[tex]A=2.5[/tex]
Hence, the total area is 2.5.
Learn more about Area using Integrals here :
https://brainly.com/question/34160198
#SPJ4
if 5 lemons cost £1 and a bag of 4 oranges cost £1.80, how much more does one orange cost than the lemon?
plz help ill give you brainlist plz help
The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle? 5, 10, or 25?
a puppy weighs 9/10 pound. it's mother weighs 8 times as much. how much does the mother weigh?
what is -10+2 because this is really confusing to me.
Alex is decorating a large box with pieces of ribbon. He needs 7 sections of ribbon with a length of (3/4) yard. He is going to cut the 7 pieces from a roll of ribbon that is 30.2 yards long
11x−6y=5 −4x−6y=13 How many solutions does this system have
mrs. west is 14 years younger than her aunt. if mrs. west’s age in years is as much below 60 as her aunt’s age is over 40, how old is each?
Mrs. west is [tex]14[/tex] years younger than her aunt. if mrs. west’s age in years is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex], So, Mrs. West is [tex]43[/tex] years old, and her aunt is [tex]57[/tex] years old.
Let's represent Mrs. West's age as W and her aunt's age as A.
Given that Mrs. West is [tex]14[/tex] years younger than her aunt, we can write the equation:
[tex]W=A-14[/tex]
Also, it's given that Mrs. West's age is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex] . This can be represented as:
[tex]W=60-(A-40)[/tex]
Simplify the equation:
[tex]W=60-A+40\\W=100-A[/tex]
Now, we have two equations for [tex]W[/tex]:
[tex]W=A-14\\W=100-A[/tex]
Since both equations equal [tex]W[/tex], we can set them equal to each other:
[tex]A-14=100-A[/tex]
Now, solve for A:
[tex]A+A=100+14\\2A=114\\A=57[/tex]
Now, plug the value of [tex]A[/tex] into either equation to find [tex]W[/tex]:
[tex]W=57-14\\W=43[/tex]
So, Mrs. West is [tex]43[/tex] years old, and her aunt is [tex]57[/tex] years old.
COMPLETE QUESTION:
Mrs. west is [tex]14[/tex] years younger than her aunt. if mrs. west’s age in years is as much below [tex]60[/tex] as her aunt’s age is over [tex]40[/tex], how old is each?
solve the inequality -×/2 <4
What is greater than 1 kg
What is the value of log0.5^16? a.–4.00 b.–0.25 c.1.51 d.2.41
Answer:
The correct option is a.
Step-by-step explanation:
The given expression is,
[tex]log(0.5)^{16}[/tex]
Use property of logarithm
[tex]loga^b=bloga[/tex]
[tex]log(0.5)^{16}=16\times log(0.5)[/tex]
The value of log(0.5) is -0.30103.
[tex]log(0.5)^{16}=16\times -0.30103[/tex]
[tex]log(0.5)^{16}=-4.81648[/tex]
The value of given expression is -4.81648.
If the final answer appromatted to preceding integer, then the correct option is -4.00.
Which function is the inverse of f(x)=4x-1?
The function f⁻¹(x) = x/4 + 1/4 is the inverse of f(x)=4x-1
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable). In maths and the physical sciences, functions are indispensable for formulating physical relationships.
The function is given as f(x)=4x-1
To determine the inverse of a function, switch the places of x and y (or f(x)).
f(x) = 4x - 1
y = 4x - 1
Switch the variables;
x = 4y - 1
Now, convert the equation back into y = mx + b form.
x + 1 = 4y
y = x/4 + 1/4
f⁻¹(x) = x/4 + 1/4
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Jim Abbott purchased a $60,000 recreational vehicle (RV) with a 40 percent markup on selling price. a. What was the amount of the dealer’s markup? Markup amount $ b. What was the dealer’s original cost? Original cost $
Answer:
24,000 dealer paid
mark up : 36,000
Step-by-step explanation:
60,000 * 0.40= 24,000
60,000-24,000= 36000
which is smaller, half of 36 or one-seventh of 42
Solve this problem using the proper formula
A gardener is installing a circular garden. The circumference of the circle 132 feet. What radius should he use to layout the circle if he uses p=22/7?
The radius is feet.
Given that the garden should be in a circular shape.
And the circumference of the circle would be, C = 132 feet.
It says to find the radius of the circular garden, r = ?
We know the formula for Circumference of the circle is given as follows :-
Circumference of circle = 2π x radius
C = 2·π·r
Hint:- It says to use pi = 22/7.
[tex] 132=2*\frac{22}{7}*r \\\\
132=\frac{44}{7}*r \\\\
r=132*\frac{7}{44} \\\\
r= \frac{924}{44} \\\\
r= 21 \;feet [/tex]
Hence, Radius would be r = 21 feet.
Indicate whether each of the following fractions is proper or improper. a. 4⁄16 b. 75⁄70 c. 2⁄15 d. 6⁄6
What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?
In certain county, the number of charter schools is 4vless than twice the numbervof alternative schools. We know that there are 48 charter schools in the county. How many alternative schools are in the county?
what are the slope and why intercept shown on the graph below
solve for y
11x+7y=-35
A jar of crunchy peanut butter contains 1.35 kg of peanut butter. if you use 8.0 % of the peanut butter for a sandwich, how many ounces of peanut butter did you take out of the container?
Find all integer solutions to the pair of congruences (if any) x ≡ 17 (mod 23) 70x ≡ 3 (mod 93).
The dimensions of an office conference room are 10 feet by 18 feet. If the conference room blueprint dimensions are 5 centimeters by 9 centimeters, what is the scale of the blueprint?
A. 1 centimeter = 9 feet
B. 1 centimeter = 2 feet
C. 1 centimeter = 5 feet
D. 1 centimeter = 10 feet
20 POINTS!!! Of 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelery trends. Her sample is (biased; Not biased).The sample is (representative; not representative) PLZ ANSWER IN THAT ORDER!! I NEED THIS ASAP
Answer:
Biased / Not Representative
Step-by-step explanation:
The answer is biased because she is asking only the 5 biggest jewelers in her whole town, not the whole 35. It is also not representative because it is not representing allts of of the though every jeweler. Hope this helps <3
PS. Brainliest is wrong.
Answer:
I hope this helps
Step-by-step explanation:
2/3 of the product of 3/8 and 16