By using integers to represent the information, Death Valley will be -282 and Mount Mckinley is 20320.
How to illustrate the Integer?From the information, death valley california has the lowest point in the united states. its elevation is 282 feet below sea level.
Mount mckinley alaska has the highest point in the united states and it's elevation is 20,320 feet above sea level.
It should be noted that by using integers, Death Valley is the lowest point. This will have a negative sign and will be -282. Mount McKinney will be +20320
Learn more about integer on:
brainly.com/question/17695139
#SPJ1
f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41 Over 8 EndFraction,
The inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
What is the procedure to find inverse of function ?Inverse of a function can be calculated by following the steps mentioned below -
Step 1 - Replace {y} with {x} and vice - versa.Step 2 - Rewrite the equation by solving for {y}.Step 3 - Replace {y} with f⁻¹(x).According to the question, the equation given is as follows
y = f(x) = 2x + 5
y = 2x + 5
Replace 'y' with 'x', we get -
x = 2y + 5
Now, solve for y -
2y = x - 5
y = (x/2) - (5/2)
Replace 'y' with f⁻¹(x) -
f⁻¹(x) = (x/2) - (5/2)
Hence, the inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
To solve more questions on inverse of function, visit the link below-
brainly.com/question/28229665
#SPJ1
Jennifer first spins a spinner and then flips a coin. Complete the following table representing the sample space for this compound event
The size of sample space is 8.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. This is the fundamental theory of probability, which is applied to the probability distribution.
Given Jennifer first spins a spinner and then flips a coin,
Table for sample space is
Result of spin
Coin result Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
Total sample space is 8.
Hence the number of sample space is 8.
Learn more about probability;
https://brainly.com/question/30034780
#SPJ1
Answer:
Step-by-step explanation:
Which statement is false?
A. Linear pairs are two supplementary angles that are adjacent.
B. Complementary and supplementary angles must share a common side.
C. Acute angles measure between 0° and 90°.
D. Vertical angles are congruent.
The answer choice which represents a statement which is false among the given answer choices as required to be determined is; Choice B; Complementary and supplementary angles must share a common side.
Which answer choice represents a statement which is false?It follows from the task content that the statement which represents na false statement is to be identified among the given answer choices.
First, acute angles have measures between 0 and 90° and hence, Choice C is correct.
Also, vertical angles are congruent and their measures are equal. Choice D is true.
Also, it is noteworthy to know that; If two supplementary angles are adjacent to each other; then they are called linear pair. Hence, Choice A is correct.
However, complementary and supplementary angles are angles whose sum amount to 90 and 180 respectively and do not necessarily need to share a side.
Therefore, Choice B represents a statement which is false.
Read more on complementary and supplementary angles;
https://brainly.com/question/14941189
#SPJ1
Angela has a pet pig befor the winter started she bought several shipments of food for the pig 250pounds 145 pounds and 200 pounds. From the start of November to through march she feed the pig the same amount of food daily how many pounds did the pig eat each day
The number of pounds of food that the pig ate every day, given that it was the same amount of food daily, was 3. 94 pounds per day
How to find the food eaten ?To find the food that the pigs ate each day, you first need to find the total number of pounds of food that Angela bought and this amount in total is :
= 250 + 145 + 200
= 595 pounds of food
The number of days from the start of November through March is :
= 30 days November + 31 days December + 31 days January + 28 Days February + 31 Days March
= 151 days in total
The amount of food that Angela's pigs ate per day is therefore:
= Total food purchased / Number of days
= 595 / 151
= 3. 94 pounds per day
Find out more on pounds at https://brainly.com/question/19162873
#SPJ1
Expand and simplify the expresión. show your work
The given expression is equivalent to z(i) = 21 + 12i.
What are complex numbers?A complex number is a number of the form z = a + bi, where {a} and {b} are real numbers. The polar form of complex number is given by -[tex]${\displaystyle z=re^{i\varphi }=r(\cos \varphi +i\sin \varphi )}[/tex]
where {r} is the absolute value of z, and {φ} is the argument of z.
Given is the complex expression -
z(i) = (3 - 4i)(1 + 5i) - (2 - i)
The given complex expression is -
z(i) = (3 - 4i)(1 + 5i) - (2 - i)
z(i) = 3(1 + 5i) - 4i(1 + 5i) - (2 - i)
z(i) = 3 + 15i - 4i - 20i² - 2 + i
z(i) = 3 - 2 + 15i - 4i + i - 20i²
z(i) = 1 + 12i - 20i²
z(i) = 1 + 12i + 20
z(i) = 21 + 12i
Therefore, the given expression is equivalent to z(i) = 21 + 12i.
To solve more questions on complex numbers, visit the link below -
https://brainly.com/question/20566728
#SPJ1
{Complete question -
Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work}
11. A graph of a relation is shown below.
6-4/
6
4
4
6
6
Which line segment should you remove to make the relation a function of x ?
A. the line segment with endpoints (3,3) and (-3,2)
the line segment with endpoints (4,-3) and (-4,-2)
C. the line segment with endpoints (-3,2) and (-4,-2)
D. the line segment with endpoints (3,3) and (4,-3)
On solving the provided question, we can say that from the graphs, line segment should you remove to make the relation a function of x the line segment with endpoints (-3,2) and (-4,-2)
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
from the graphs,
line segment should you remove to make the relation a function of x
the line segment with endpoints (-3,2) and (-4,-2)
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Please help with 62 and 63
For #62 here are the reasons for the statements:
1. Given
2. Corresponding angles
3. Given
4. By ASA rule of congruence
Which of the following inequalities matches the graph?
x ≤ 5
x ≥ 5
y ≤ 5
y ≥ 5
Answer:
x ≤ 5
Step-by-step explanation:
That inequality best matches the graph.
Jessica has a sack of vegetables.
There are 3 carrots for every 4 potatoes
in the sack.
If there are 12 carrots in the sack, how
many potatoes are there?
16 potatoes
according to the question:
we can formulate it as, (12*4)/3
= 48/3= 16
use the BODMAS rule to solve
that is Brackets Of Division Multiplication Addition Subtraction
so first (12*4) will be calculated.
multiply means adding equal groups
the first value that is used to multiply is called the multiplicand (12)
the second value that is been multiplied is called the multiplier. (4)
the result that we get when we multiply the multiplicand and the multiplier is called the product. (48)
then, divide the product with the denominator
48/3
The division is the process of splitting a specific amount into equal parts.
therefore, 16 potatoes are there.
To learn more problems about operations, please refer to the link below:
https://brainly.com/question/550188
Match the inequalities on the left with the correct statement about that inequality on the right.
-4 r ≤ 22
Drop selections here
54 y+-8 ≥ -1
Drop selections here
-7d/4>3
Drop selections here
0>-8 n
Drop selections here
The statement which is correct about each inequality as required to be assigned are as follows;
-4r ≤ 22; Flip the inequality sign.54y + -8 ≥ -1; Do not flip the inequality sign.-7d / 4 > 3; Flip the inequality sign.0 > -8n; Flip the inequality sign.Which statements are correct about the given inequalities?It follows from the task content that the statement which is correct about each of the inequalities is to be matched accordingly.
It is noteworthy to know that the underlying rule while solving inequalities is such that;
If the coefficient of a variable upon isolation on one side of the inequality is negative, it follows that the inequality sign must be flipped while multiplying or dividing both sides of the inequality by a negative number.
On the other hand, if the coefficient of the variable is positive, the inequality sign is not to be flipped.
Read more on solving inequalities;
https://brainly.com/question/10711608
#SPJ1
What is 1/2xb+9=11 In written form?? Answer needed Thursday January 5th 2023
Answer:
b = 4
Step-by-step explanation:
Solve for b?
1/2b + 9 = 11 Subtract 9 from both sides
1/2b = 11 -9
1/2 b = 2 Multiply both sides by 2
b = 4
Find an equation for the line below.
Answer: [tex]y = \frac{1}{2}x + \frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Find the slope using the two points given
[tex](3,2)[/tex]and [tex]-(5,-2)[/tex]
use the slope formula ->[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]
[tex]= \frac{-2-2}{-5 - 3}[/tex]
[tex]= \frac{-4}{-8}[/tex]
[tex]= \frac{1}{2}[/tex]
Plug in the slope into the slope-intercept form -> [tex]y = mx + b[/tex]
[tex]y = \frac{1}{2}x + b[/tex]
Step 2: Find the y-intercept (also known as b in the formula above):
Do this by taking any point (3,2) or (-5,-2) and plugging it into the slope equation in Step #1
[tex](3,2)\\y = \frac{1}{2}x + b\\2 = \frac{1}{2}(3) + b\\2 = \frac{3}{2} + b\\4 = 3 + 2b\\1 = 2b\\b = \frac{1}{2}[/tex]
Step 3: Plug in the slope we found in step 1 and the y intercept in step 2
[tex]y = mx + b\\y = \frac{1}{2}x + \frac{1}{2}[/tex]
31) reflection across y=2
solve both for brainliest, 20 points, and thanks!
Answer:
8. b.) x < -3 ; closed dot9. a.) 4m + 16 > 40Step-by-step explanation:
if help pls like or commentsGraph the linear equation. 3x - 4t = 12
A graph of the linear equation 3x - 4t = 12 has been plotted as shown in the image attached below.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.
Next, we would use an online graphing calculator to plot the relationship between the value of x and the value of t as shown in the image attached below.
In conclusion, a graph which represents the linear equation (3x - 4t = 12) does not represent or show a proportional relationship between the value of x and t because they didn't pass through the origin (0, 0).
Read more on graphs here: brainly.com/question/4546414
#SPJ1
To solve the equation x - 9 = 0,
Responses:
A subtract x from both sides.
B add 9 to both sides.
C subtract 9 from both sides
D add 0 to both sides.
PLS HELP! ASAP!
To solve the equation x - 9 = 0, B. add 9 to both sides.
How to Solve an Equation?In a typical equation that is algebraic in nature, as in, has a variable, the value of that variable can be solved by isolating the variable on such a way that it would stand alone on one side of the equation.
We can solve by applying the appropriate properties of equality to isolate the variable.
Given the equation x - 9 = 0, solve for the value of x by isolating the variable x to one side of the equation by applying the addition property of equality. Tod of this, add 9 to both sides of the equation:
x - 9 = 0 + 9
x = 9
Therefore, the correct answer is: B. add 9 to both sides.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ1
In a bag there are 24 coins, some
nickels and some dimes. If there is 1
nickel for every 3 dimes, how many
dimes are there?
Answer:
If there are 24 coins in total and some of them are nickels, then there must also be some dimes. Let's call the number of dimes "x" and the number of nickels "y". We know that y = 1/3 * x. We can set up an equation to represent this relationship: y + x = 24. We can also substitute 1/3 * x for y to get the following equation: 1/3 * x + x = 24. We can combine like terms to get: (4/3) * x = 24. We can divide both sides by 4/3 to solve for x: x = 18.
Therefore, there are 18 dimes in the bag.
Step-by-step explanation:
how long does it take to get from 20:40 to 21:15
pls help quickly
thank you
Solve the following inequality.
175 + 35x > 700
A.)x>2
B.) x<2
C.) x> 15
D.)x< 15
Answer:
D. x > 15
Step-by-step explanation:
To solve, we must isolate x:
[tex]175+35x > 700\\35x > 525\\x > 15[/tex]
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
A clothing store is donating socks to various charities. The store gave 6 regular packs and 5
value packs to a homeless shelter, which contained a total of 378 pairs of socks. For foster
children, the store donated 5 regular packs and 5 value packs, which equaled 335 pairs. How
many pairs of socks are in each pack?
There are
pairs of socks in each regular pack and
Submit
pairs in each value pack.
5 standard packs and 5 value packs totaling 335 pairs were provided to foster children by the store. As a result, Value packs equal 32 and Regular packs equal 38.
What is regular and value packs ?How many value and standard packets of socks there are
4 x + 6 y = 344
⇒ 2 x + 3 y = 172 --------- ( 1 )
again
6 x + 6 y =420
x + y = 70 ----------- ( 2 ) × 3
Subtract equation (2) from equation by three ( 1 )
2 x + 3 y = 172 -
3 x + 3 y = 210
⇒ -4 = -38
⇒ 4 = 38
introducing x = 38 as a value in equation ( 2 )
x + y = 70
⇒ 38 + y = 70
⇒ y = 70 - 38 = 32
As a result, Value packs equal 32 and Regular packs equal 38 .
To learn more about system of equations refer to :
https://brainly.com/question/25976025
#SPJ1
Drag each object to show whether cost is proportional to area in the situation represented.
The cost-area proportional situations are:
Pavers that cost a set amount per square footThe linear graphHardwood flooring that costs $16 for every 2 square feetThe cost-area non-proportional situation is:
The table of valuesSod that is quoted at a set price per square yard plus a labor feeThe situation where there is no enough information is
A concrete patio quoted at a bulk cost for 50 square feetHow to categorize the situationsAs a general rule:
Proportional situations are situations that can be represented as unit rates
When represented as a graph, they pass through the origin as in graph (d)
Other possible scenarios are:
Pavers that cost a set amount per square foot i.e. Rate is constant and no initial feeHardwood flooring that costs $16 for every 2 square feet i.e. Rate is constant and no initial feeThe information in (b) a concrete patio quoted at a bulk cost for 50 square feet is incomplete because it does not state if the bulk cost is a unit rate
Other scenarios are non-proportional
Read more about proportional relationship at
https://brainly.com/question/14425347
#SPJ1
10. Assume the economy consists of 3 sectors namely agriculture (A), manufacturing (M) and energy (E). In general, part of the output from one sector will be used by other sectors through intra-industry purchases and the surplus will be sold to meet final consumer demand. The technology matrix is given as below.
0.2 0.2 0.1
[0.2 0.4 0.1 ]
0.1 0.2 -0.3
What is the amount of production in the economy to meet the final consumer demand which is 80 units of agriculture, 60 units of manufacturing and 50 units of energy?
The amount of production in the economy to meet the final consumer demand which is 80 units of agriculture, 60 units of manufacturing and 50 units of energy
How to find the amount?The given parameters that will help us to calculate the amount are
(1) Pe =0.2Pa + 0.2 Pm + 0.1pe
Pm = 0.2P + 0.4 Pm + 0.1 Pe
Pa = 0.1 Pa + 0.2Pm -0.3 Pa
(2) The free variable Pa = 100
We create a table of outputs using the given Units economy distribution
Agriculture Manufacture Energy Purchased by
0 .2 0.2 0.1 Agriculture
0.2 0.4 0.1 manufacturing
0.1 0.2 -0.3 Energy
Let Pa, Pm, Pe represent the prices for each sector
We then create an income equation using the expenses of the table above we have
(1) Pa =0.2Pa + 0.2 Pm + 0.1pe =80
Pm = 0.2P + 0.4 Pm + 0.1 Pe = 60
Pe = 0.1 Pa + 0.2Pm -0.3 Pa=50
Making pa, pm and pe the subjects of the relation and summing them to have the amount
pa = 0.5x = 80
Pa=80/0.5= 160
Pm = 0.7pm = 60
Making pm the subject of the formula
pm= 60/0.7 = 86
Pe = 0
Therefore the amount is 160+86+0 = 246
Learn more about amount of production on https://brainly.com/question/13890278
#SPJ1
Why do you think dividing works to test for equal ratios?
Answer:
Step-by-step explanation:
because a ratio is liek a fraction
Bayat wants to order DVD's over the internet. Each DVD costs $20 and shipping the entire order costs $5. If he can spend no more than $100, how many DVD's could he buy?
Please help. My exam is close and I need the answer.
Which side lengths form a right triangle?
Choose all answers that apply:
(A
) 4,8, 12
( 2, v5,3
6 2,2. v8
Using the pythagoras theorem to set the appropriate hypotenuse, perpendicular and base to make a right angled triangle, the correct option the would for a right angled triangle would be option c i.e 2, 2, [tex]\sqrt{8}[/tex].
What is a right angled triangle?A right angled triangle is a triangle in which one of the angles is a right angle (90 degrees). The side opposite the right angle is called the hypotenuse and the other two sides are called the legs or catheti. The two legs are perpendicular to each other and the hypotenuse is the longest side of the triangle. The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, applies to all right-angled triangles.
What is pythagorean theorem?The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs or catheti). This can be written as: c^2 = a^2 + b^2 where c is the length of the hypotenuse, and a and b are the lengths of the legs.
So applying the pythagorean theorem on provided options to choose the best option for making a right angled triangle, we find that the option c suites best to form a right angled triangle as show below,
[tex](\sqrt{8}) ^{2} = 2^{2}+2^{2}[/tex] , which satisfies the equation.
i.e 8 = 8
To learn more about pythagorean theroem visit:
https://brainly.com/question/29769496
#SPJ1
Find the volume to the near....?
1.
The volume of the given prism would be = 10,164 in³
What is a prism?A prism is defined as the type of polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms.
The formula that is used to find the volume of the prism ;
Volume = 1/2 length× width × height.
Length = 22 in
width= 22 in
height = 42 in
Therefore volume of the prism ;
V = 1/2 × 22 × 22 × 42
V = 20328/2
V = 10,164 in³
Learn more about prism here:
https://brainly.com/question/28795033
#SPJ1
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:
B. 2.3p – 10.1 = 6.49p – 4
C. 230p – 1010 = 650p – 400 – p
How to determine the required equations?From the information provided, we have the following equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Next, we would simplify the given equation by collecting like terms as follows;
2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4
2.3p - 10.1 = 6.49p - 4
What is the multiplication property of equality?In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.
By multiplying both sides of the given equation by 100, we have;
100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)
230p - 1010 = 650p - 400 - p
Read more on multiplication property of equality here: brainly.com/question/17565345
#SPJ1
A drug dose for an adult is 25 mg/kg. A child's dose is 1/5 the adult dose.
What is the child's dose in mg/kg?
Answer:
5mg/kg
Step-by-step explanation:
1/5 of 25 = 5
Gabriella borrowed $3,600 to finance a large-screen television at a rate of 6.25% for 4.75 years. How much interest will she need to pay?
She will need to pay 1068.75 dollar.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that Gabriella borrowed $3,600 to finance a large-screen television at a rate of 6.25% for 4.75 years.
Amount = $3,600
Rate = 6.25%
Time = 4.75 years
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = 3,600× 6.25% × 4.75
Simple Interest = 3,600× 6.25/100 × 4.75
Simple Interest = 1068.75
Learn more about simple interest here;
brainly.com/question/1548909
#SPJ1
Answer:
$1,068.75
Step-by-step explanation:
$3,600 x 0.0625 x 4.75 = $1,068.75
Find the domain of the rational function.
f(x) = x
x2 − 64
All real values of x such that −∞ < x < −8 and 8 < x < ∞
All real values of x such that −8 ≤ x ≤ 8
All real values of x such that x ≠ −8 and x ≠ 8
All real values of x such that −64 ≤ x ≤ 64
All real values of x such that x ≠ −64 and x ≠ 64
Answer:
(3)
All real values of x such that x ≠ −8 and x ≠ 8
The domain of the rational function given; f (x) = x / ( x² - 64 ) as required to be determined in the task content is; All real values of x such that x ≠ −8 and x ≠ 8.
What is the domain of the rational function given?Recall that the domain of a rational function includes all real number values except those which render the rational function undefined; i.e the denominator is equal to 0.
On this note, the only exceptions for the domain of the rational function can be determined as follows;
x² - 64 = 0
x² = 64
x = ± 8
On this note, the values which are exceptions to the possible real number values of x are; -8 and 8.
Ultimately, the domain of the given rational function as required is; All real values of x such that x ≠ −8 and x ≠ 8.
Read more on domain of rational function;
https://brainly.com/question/17191111
#SPJ1