Which of these is false?
A) 21,730 < 22,341
B) 21,730 > 22,341
C) 22,341 > 21,730
D) 22,341 < 24,687
The false statement among the given options is B) 21,730 > 22,341. The greater than, less than symbols should be accurately used to compare two numbers. The other given statements are true.
Explanation:The false statement in the given options is B) 21,730 > 22,341. This statement is saying that 21,730 is greater than 22,341, which is false. In mathematics, '<' symbol represents 'less than' and '>' represents 'greater than'. So, the statement B) is false because 21,730 is not greater than 22,341, but less.
Comparing the following two statements A) 21,730 < 22,341 and C) 22,341 > 21,730, we can see they are actually the same statement, restated in a different manner. Both statements are saying that 21,730 is less than 22,341 which is true.
The statement D) 22,341 < 24,687 is also true because 22,341 is less than 24,687.
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if a 40-foot tree casts a 12-foot shadow, find the length of the shadow cast by a 28-foot tree
12/40 =0.3
28 *0.3 = 8.4
it will cast a 8.4 foot long shadow
Answer:
The shadow cast by a 28-foot tree is 8.4 foot.
Step-by-step explanation:
The rule of three is a way of solving problems of proportionality between three known values and one unknown, establishing a relationship of proportionality between all of them. In the case of direct proportionality, when one magnitude increases, the other increases ( or if one magnitude decreases, the other will also decrease)
This is an example of application of this rule:
40 foot tree ⇒ 12 foot shadow
28 foot tree ⇒ x foot shadow
Then, to solve and calculate the value of x, which is the value of the shadow cast by the 28-foot tree, perform the count:
x=[tex]\frac{28*12}{40}[/tex]
x=[tex]\frac{336}{40}[/tex]
x=8.4
This means that the shadow cast by a 28-foot tree is 8.4 foot.
Rachel drove 804 miles in 12 hours. at the same rate, how long would it take her to drive 335 miles?
50 POINTS formula plus solution.
A regular pentagonal pyramid has a base area of 300 m2 and a lateral area
is 70 m2. What is the surface area of the regular pyramid?
A. 370 m2
B. 185 m2
C. 670 m2
D. 118 m2
Mike has half the number of cars as Todd. Todd has c cars; write an expression that shows how many cars Mike has?
The larger of two numbers is one more than four times the smaller number. if the sum of the numbers is 106, find the numbers.
To solve the problem, create two equations based on the information given, then solve these equations step-by-step. After calculation, the two numbers are 21 and 85.
Explanation:Given the problem, we can translate and create two equations which are:
The larger number is one more than four times the smaller number. We can express this as: L = 4S + 1 The sum of the numbers is 106. We can express this as: L + S = 106
Step 1: From the first equation, we know that L = 4S + 1. We can substitute this into the second equation in place of L, giving us 4S + 1 + S = 106.
Step 2: Add up, and we get 5S + 1 = 106. Subtract 1 from both sides and we get 5S = 105.
Step 3: Divide both sides by 5 to solve for S, we get S = 21.
Step 4: Substitute S = 21 into the equation L = 4S + 1, you can calculate and find L = 85.
Therefore, the two numbers are 21 and 85.
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Diane works mowing lawns and babysitting. she earns $8.50 an hour for mowing and $7.10 an hour for babysitting. how much will she earn for 5 hours of mowing and 7 hours of babysitting?
Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: f (g (x)) and h (f (x))
How do I graph this equation?
The length of a rectangle is two thirds its width. the area is 12 square meters. find its width. round your answer to two decimal places.
In the triangles below, ma + md = 90°. using the information given about the triangles below, determine how the triangles can be shown to be similar.
Answer:
The triangles are similar by AA
Step-by-step explanation:
Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $1100. It's original price is $1200. What percent of the original price will you save if you purchase it? Write your answer to the nearest tenth of a percent, but in decimal form.
Naomi went on a 6.5-mile hike. Im the morning, she hiked 1.75 miles, rested, and then hiked 2.4 more miles. She completed the hike in the afternoon. How much farther did she hike in the morning than the afternoon?
I’m confused on how you would find what triangle is.
How do you solve for x when x squared = 9?
An angle measures 29° . what is the measure of its complement?
The measure of the complementary angle will be 61°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
An angle measures 29°.
Let 'x' be the complementary angle. Then the measure of the complementary angle is given as,
x + 29° = 90°
Simplify the equation, then we have
x + 29° = 90°
x = 61°
The measure of the complementary angle will be 61°.
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Lisa purchased a prepaid phone card for $25 . Long distance calls cost 12 cents a minute using this card. Lisa used her card only once to make a long distance call. If the remaining credit on her card is $19.96 , how many minutes did her call last?
Ive been super sick so im a little behind. Help please .
1. A line goes through the points (8,9) and (-2,4)
(a) What is the slope of the line? Show your work
(b) Write the equation of the line in point-slope form. Show your work
(c) Write the equation of the line in slope-intercept form. Show your work.
the two way table represents data from a survey asking schoolchildren whether
Please help my brain is dead -_-
Lynn has an annual income of $17,500. she has $5,500 withheld as deductions. What is the amount of each paycheck if she gets paid biweekly?
please explain your answer i actually want to learn this THANKS
How do you write 100, in an exponential form
How do write 100,000, in an exponential form
And how do you write 10,000 ,in an exponential form
1. 10^2
2. 10^5
3. 10^4
Hope this helped!
Nate
Numbers can be written in exponential form with a base of 10. For example, 100 is written as 10^2, 100,000 as 10^5, and 10,000 as 10^4.
Explanation:To write numbers in exponential form, you need to understand the concept of exponential notation which is a way to express a number as a base raised to a power. In each of the given cases, the base is 10.
For 100, there are two zeros following the 1. This means that 100 can be written as 10 to the power of 2, or 10^2.
Similarly, for 100,000, there are five zeros following the 1. This would be written as 10 to the power 5, or 10^5.
Lastly, 10,000, has four zeros following the 1. This would be written as 10 to the power of 4, or 10^4.
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To have an inverse function, a function f must be
To have an inverse function, a function f must be onto the function,
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What are inverse functions?Inverse function of function is defined as the, that modified and derived function from parent function that has domain[range of parent function] and range [domain of parebt function].
here,
To have an inverse function, a function f must be onto function, because it is neccessary that the function gives one distinct image for the distinct pre-image.
Thus, To have an inverse function, a function f must be onto function,
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To have an inverse function, a function must be bijective, meaning it is both one-to-one (injective) and onto (surjective). An example is shown with the function f(x) = x^2 which is not injective, hence doesn't have an inverse function.
Explanation:In mathematics, to have an inverse function, the original function, represented as f, must be both injective (one-to-one) and surjective (onto). This dual property is called being bijective. This means every element of the function's domain maps to one distinct element in the function's range (injective) and that every element in the range has a pre-image in the domain (surjective).
For example, consider the function f(x) = x^2. This function is not injective, as both f(-2) and f(2) give the same output, hence it does not have a true inverse function across all real numbers.
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What is the first step in the construction of a line parallel to ab through point p? answers?
Answer:
option b
Step-by-step explanation:
It costs $6 per pound for peanuts at Blessed Food Market. Which of the following represents the range of the function in terms of cost per pound?
A. $6
B. Amount of Peanuts
C. Cost of Peanuts Purchased
D. Peanuts Purchased
Answer:
C
Step-by-step explanation:
I did it and got it right!
Evaluate a + b2 for a = 2 and b = 3. 8 11 25
which pairs of angles are not always congruent when two parallel lines are cut by a transversal?
A. Vertical lines
B. Alternate exterior angles
C.corresponding angles
D. Consecutive interior angles
When two parallel lines are cut by a transversal vertical lines are not always congruent.
What are transversal?A line that goes through two lines in the same plane at two different points is called a transversal. When determining whether two or more other lines in the Euclidean plane are parallel, transversals play a role. Different kinds of pairs of angles are created when two lines intersect a transversal: alternate angles, corresponding angles, consecutive exterior angles, and consecutive interior angles. If the two lines are parallel, Euclid's parallel postulate states that consecutive interior angles are supplementary, that corresponding angles are equal, and that alternate angles are equal.
Given to find the pairs of angles are not always congruent when two parallel lines are cut by a transversal,
when parallel lines are cut by a transversal some pair of angles are congruent like alternative exterior angle, corresponding angles and
Consecutive interior angles all the pairs are congruent and equal.
but When a transversal line cuts through two parallel lines, vertical lines are not always congruent.
Therefore vertical lines are not always congruent.
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Has grades of 71 and 87 on her first two algebra tests. if she wants an average of at least 75, what possible scores can she make on her third test
Brainliest reward math question
The hypotenuse of a right triangle measures 10 inches and the side opposite to <0 one of the non right angles is 5 inches long
The measure of <0 is
30
45
60
90
?
The measure of angle <0 in the right triangle is approximately 30 degrees.
Explanation:To find the measure of angle <0 in the right triangle, we can use trigonometry. The side opposite to angle <0 is given as 5 inches. The hypotenuse is given as 10 inches. We can use the sine ratio to find the angle:
sin(<0) = opposite/hypotenuse
substituting the given values:
sin(<0) = 5/10 = 0.5
Now, to find the measure of angle <0, we can use the inverse sine function:
<0 = arcsin(0.5)
Using a calculator, we find that the measure of angle <0 is approximately 30 degrees.
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What two numbers multiply to -30 and add to 1?
The products of two numbers involves multiplying them.
The two numbers are -5 and 6
Let the numbers be x and y.
So, we have:
[tex]\mathbf{x \times y = -30}[/tex]
[tex]\mathbf{x + y = 1}[/tex]
Make x the subject in [tex]\mathbf{x + y = 1}[/tex]
[tex]\mathbf{x = 1 - y}[/tex]
Substitute [tex]\mathbf{x = 1 - y}[/tex] in [tex]\mathbf{x \times y = -30}[/tex]
[tex]\mathbf{(1 - y)y = -30}[/tex]
Expand
[tex]\mathbf{y - y^2 = -30}[/tex]
So, we have:
[tex]\mathbf{y^2 -y - 30 = 0}[/tex]
Expand
[tex]\mathbf{y^2 -6y + 5y - 30 = 0}[/tex]
Factorize
[tex]\mathbf{y(y -6) + 5(y - 6) = 0}[/tex]
Factor out y - 6
[tex]\mathbf{(y + 5) (y - 6) = 0}[/tex]
Solve for y
[tex]\mathbf{y = -5\ and\ 6}[/tex]
Hence, the two numbers are -5 and 6
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