Final answer:
The polynomial in standard form is z⁴ + 3z₂ which is a univariate quartic polynomial since the highest power of z is 4.
Explanation:
Expressing the Polynomial in Standard Form
To express the polynomial z² - z⁴ + 2z² in standard form, we combine like terms. The terms z² and 2z² are like terms, which means they can be added together. So, the polynomial in standard form is z⁴ + 3z².
Classification of the Polynomial
This is a quartic polynomial because the highest degree of the variable z is 4. In addition, there is only one variable, z, which makes it a univariate polynomial. Therefore, the correct classification of the polynomial is a univariate quartic polynomial.
The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.
Answer:
12 by 14
Step-by-step explanation:
took quiz
If the newspaper plans to select an ad at random each week to be published free, what is the probability that the ad for a specific week will be a help dash wanted help-wanted ad
Answer:Theres a article about that ont he internet
Step-by-step explanation:
£850 is invested for 2 years at 6% per annum compound interest. a) Work out the total interest earned over the first 2 years.
Answer:
6% annum for 850 would be 955
The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after 200 years.
A cylindrical tank has a height of 12 feet and a diameter of 16 feet. Jane fills the tank with water at a rate of 6 cubic feet per minute. Calculate how long it would take Jane to fill the tank without overflowing it. Explain your reasoning. Round as needed.
Is the quotient of 5 and 1 / 2 greater than or less than 5? Explain your answer.
The quotient of 5 divided by 1/2 is greater than 5 because dividing by a number less than 1 results in a larger number. In this case, it is equivalent to multiplying 5 by 2, yielding 10.
To determine if the quotient of 5 and 1/2 is greater than or less than 5, we consider the operation of division. Dividing by a number less than 1 will result in a larger number, while dividing by a number greater than 1 will result in a smaller number. The number 1/2 is less than 1, so when 5 is divided by 1/2, the quotient is greater than 5. It is equivalent to multiplying 5 by 2 (since dividing by a fraction is the same as multiplying by its reciprocal), which is 10. Therefore, 5 divided by 1/2 equals 10, which is greater than 5.
Sam has bought a camera for $200 when it was on 20% off sale. What was the original price of the camera
Answer250
Step-by-step explanation:
An employee has an annual salary of $51,300. They receive $2,830 in health insurance and $4,600 in paid time off per year. They drive their personal vehicle for work which costs them $600 per month, but the company reimburses them $0.54 per mile for the total work miles driven. If the employee drives 36,000 miles for work for the year, what will be their total employment compensation?
a.
$70,740
b.
$70,970
c.
$77,570
d.
$78,170
The total employment compensation of the employee is b. $70,970.
What are Arithmetic operations?Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.
Given that,
Annual salary of the employee = $51,300
Health insurance per year = $2,830
Paid time off per year = $4,600
Monthly expense for personal vehicle = $600
Yearly expense = 12 × $600 = $7200
Reimbursement for the vehicle = $0.54 per work mile
Reimbursement for vehicle for 36,000 miles for work for the year = $0.54 × 36,000 miles = $19,440
Total employment compensation = ($51,300 + $2,830 + $4,600 + $19,440) - $7200
= $70,970
Hence the employment compensation is $70,970.
Learn more about Compensations here :
https://brainly.com/question/1903407
#SPJ7
HELP ME PLEASEEEEEEEEEEEEEEEEEE
The coordinates of the vertices of parallelogram ABCD are A(-3,2) , B (-2,-1) , C ( 4,1) and D ( 3,4). The slopes of which line segments could be calculated to show that ABCD is a rectangle?
1) AB and DC
2) Ab and BC
3) AD and BC
4) AC and BD
When you say what answer you chose can you explain why that’s the answer please in depth?
which of the following is important in a 2 column proof?
A list of all theorems
Staircase LOgic
Order
Detailed explanations for each step
Answer:
Order.Step-by-step explanation:
When we are proving a proposition, it's important to have order in our 2-column proof.
So, we must have a left colum for Statements and a right colum for Reasons, that's the order we need to have.
In the statements colum we write our deductions. In the reasons column, we write the justification or reason about our deduction.
Therefore, the right answer is the third choice: Order.
how do you solve x^2+4x-5=0
Actually the answer is (-1,5)
x^2 – 4x – 5 = 0
x^2 – 4x = 5
x^2 – 4x + 4 = 5 + 4
(x – 2)^2 = 9
x – 2 = ± 3
x = 2 + 3 and x = 2 – 3
x = 5 and x = –1
{–1, 5}
Round 3,989.23655 to the nearest tenth
what is 5/10 + 25/100
write a real world example that could be solved by using the inequality 4x+8≥32.then solve the inequality
A real-world situation for the inequality 4x + 8 ≥ 32 could involve calculating the minimum hours required at a part-time job to earn $32. Subtracting 8 and dividing by 4, we find that at least 6 hours of work are needed.
Explanation:A real-world example that could be solved by using the inequality 4x + 8 ≥ 32 might involve a situation where you need to determine how many hours you must work at a part-time job to earn at least a certain amount of money. Suppose you earn $4 per hour and you have already earned $8. You want to know the minimum number of hours you must work to have at least $32 in total.
To solve the inequality 4x + 8 ≥ 32, you would first subtract 8 from both sides, which gives you 4x ≥ 24. Then, you would divide both sides by 4 to find the number of hours (x) you need to work. Therefore, x ≥ 6. This means you must work at least 6 hours to earn $32 or more.
Learn more about Solving Inequalities here:https://brainly.com/question/26855203
#SPJ2
(64+28+76)÷6 show how you can calculate the number of 3/4 cup servings
What angle does this piece of pie form?
which set of three numbers could be the side lengths of a triangle A.5,5,14 B.3,3,2 C.3,3,8 D. 5,5,10
Answer:
B. 3, 3, 2
Step-by-step explanation:
The triangle inequality requires the sum of the lengths of the two shortest sides exceed the length of the longest side. That is the case only for the lengths of selection B:
2 + 3 > 3
7+11v=9v-9 how do you solve by steps
Solve for Y
Y + 1.48 = 6.71
Find a ⋅ b.
a = 7i - 4j, b = 4i + 3j
A) <28, -12>
B) 16
C) -40
D) <11, -1>
Answer:
B) 16
Step-by-step explanation:
The dot product of a pair of vectors is the sum of the products of their corresponding parts. It is a scalar.
... a · b = (7i -4j) · (4i +3j) = 7·4 + (-4)·3
... = 28 -12 = 16
it rained 3/8 of a inch each day for 3 days straight how much rain fell altogether
substitution method for 7x-2y=1 & x-2y=1
When constructing an inscribed equilateral triangle, how many arcs will be drawn on the circle?
a. 3
b. 4
c. 5
d. 6
state whether the relationship between x and y in y=4x-5 is proportional or not
robert leaves his home to go to his office .he drives 6 km north and then 4km due east.approximatley what is the shortest distance from roberts home to his office,in kilometers
a company is shipping a motorcycle in a box with the dimensions of 4 2/3 feet by 3 3/4 feet by 8 ft the box also has packing material to help protect the motorcycle. what is the volume, in cubic feet, of the box?
**Aleta deposited $450 into a savings account earning 3.75% simple interest. How much interest will she earn in 6 years? Explain.
A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off the ground and rises at 1.5 meters per second. Write and solve an equation to determine when the balloons are at the same height.
Final answer:
To find when two balloons are at the same height, set up two equations equal to each other with the starting heights and rates of ascent, and solve for the time. The two balloons will be at the same height approximately 4.636 seconds after they start rising.
Explanation:
To determine when two balloons will be at the same height, we can set up an equation based on their starting heights and their rates of ascent. We have a red balloon that starts at 7.3 meters off the ground and rises at 2.6 meters per second, and a blue balloon that starts at 12.4 meters off the ground and rises at 1.5 meters per second.
Let's let t represent the time in seconds after the balloons begin to ascend. The height of the red balloon at any time t can be expressed as:
Height_red = 7.3 + 2.6t
Similarly, the height of the blue balloon at any time t is:
Height_blue = 12.4 + 1.5t
To find out when the balloons are at the same height, we set the two equations equal to each other:
7.3 + 2.6t = 12.4 + 1.5t
Now, we solve for t by subtracting 1.5t from both sides:
2.6t - 1.5t = 12.4 - 7.3
1.1t = 5.1
Next, we divide both sides by 1.1 to isolate t:
t = 5.1 / 1.1
t ≈ 4.636 seconds
Thus, the balloons will be at the same height approximately 4.636 seconds after they begin to ascend.
(05.02)Find the measure of angle x in the figure below:
Two triangles are shown such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
Answer:
x=95°Step-by-step explanation:
We are given that: Two triangles are such that one triangle is inverted and they share a common vertex. The lower triangle has two angles at the base. The lower left angle is marked as 55 degrees. The lower right angle is marked as 30 degrees. The angle at the vertex of the inverted triangle at the top is marked as x degrees.
The figure of such a triangle is attached to the answer.
As we know that sum of all the angles of a triangle is equal to 180°.
⇒ 55°+30°+x=180°
⇒ 85°+x=180°
⇒ x=180°-85°
⇒ x=95°
Hence, the angle at the vertex is 95°.
The measure of angle x in the inverted triangle formed by two triangles sharing a common vertex is 95 degrees .
Two triangles sharing a common vertex. The angles given are as follows:
Measure of the lower left angle of the lower triangle = 55 degrees.
Measure of the lower right angle of the lower triangle = 30 degrees.
The angle at the vertex of the inverted triangle (at the top) can be found by subtracting the sum of the angles in the lower triangle from 180 degrees .
Since the sum of angles in a triangle is always 180 degrees.
Sum of angles in the lower triangle
= 55 degrees + 30 degrees
= 85 degrees.
Now, subtract the sum of angles in the lower triangle from 180 degrees to find the angle at the vertex of the inverted triangle (x degrees):
x degrees = 180 degrees - 85 degrees
= 95 degrees.
Therefore, the measure of angle x is 95 degrees.
learn more about angle here
brainly.com/question/13954458
#SPJ3