Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
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Find the measure of the indicated angle.
Answer: 18) the degree is 45.57 20) 25.01 degree (I am not sure if you need to round up the degree but if you do round it up you will get 46 degree for 18 and 25 degree for 20
Using the digits 1-9 once only fill in the blanks so that you can multiply each column and row to get the answer given on the side.
Answer:
7 4 9
5 6 1
3 2 8
Step-by-step explanation:
..........................
Answer:
7 4 9
5 6 1
3 2 8
Hope this helps!
Please help!! Thank you !!
Answer:
55 degrees
Step-by-step explanation:
Angle ACE and BDE are congruent so segments AC and BD are parallel. That makes angles CAE and DBE congruent.
6x - 15 = 5x - 1
x - 15 = -1
x = 14
So, the measure of angle BDE = 4x = 56 degrees. The measure of angle DBE = 5x - 1 = 69 degrees.
The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55
A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $1,000
Answer: $700
Step-by-step explanation:
The store is selling at 30% off.
If a mattress is $1,000, first find out what 30% of $1,000 is:
= 1,000 * 30%
= $300
The store is selling 30% off, this means that they are reducing the price by 30%:
= 1,000 - 300
= $700
4x + y = 7
- x - y = 2
If (x, y) is the solution to the given system of equations, what
is the value of x?
a) -8
b) 26
c) -5
d) 3
When instructed to find the length of HJ in right
triangle HJG, Alex wrote the equation
HJ
HJ
sin 28° = while Marlene wrote cos 62°
20
20
Are both students' equations correct? Explain
why.
H
+
20
28
O
G
See attachement for the diagram of the triangle
Answer/Step-by-step explanation:
To find the length of HJ, we can use different equations as follows:
✔️Recall: SOHCAHTOA
Let's take <G as the reference angle = 28°
Opposite side to reference angle = HJ
Hypotenuse = 20
Apply SOH.
Thus:
Sin 28° = opp/hyp
Sin 28° = HJ/20 (Alex's equation is correct).
Solving further, we would have:
HJ = Sin 28 * 20 ≈ 9.4
✔️Another way is by using <H as the reference angle.
m<H = 180° - (90° + 28°) (sum of triangle)
m<H = 62°
Adjacent side to reference angle (<H) = HJ
Hypotenuse = 20
Apply CAH:
Cos 62° = Adj/Hyp
Cos 62° = HJ/20 (Marlene's equation is correct)
Solving further, we would have,
HJ = Cos 62° * 20 ≈ 9.4
As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.
im not smart enough fo this
Answer:
4 [tex]1/2[/tex] cups are needed for 3 batches.
Step-by-step explanation:
1 1/2 = 1.5
3*1.5 = 4.5
4.5 = 4 1/2
Have a nice day!
Naneth deposited php1. 200in a savings account that pays 4%interest in 1 year. How much interest will her money earn in a year?
Answer: 8
Step-by-step explanation:
Given
Money deposited [tex]P=200[/tex]
Interest rate [tex]R=4\%[/tex]
Time period [tex]T=1\ yr[/tex]
For a year simple and compound interest is the same
[tex]\therefore \text{Interest}=\dfrac{P\times R\times T}{100}\\\\\Rightarrow \text{Interest}=\dfrac{200\times 4\times 1}{100}\\\\\Rightarrow 8[/tex]
Thus, interest earned is 8 units
Abigail read 42 1/2 pages in 1 2/3 hours. At what rate, in pages per hour, did she read?
Answer:
Pages Time(hours)
[tex]\frac{85}{2}[/tex] [tex]\frac{5}{3}[/tex]
[tex]x[/tex] [tex]1[/tex]
[tex]x*\frac{5}{3} = \frac{85}{2} *1\\\\x = \frac{85*3}{5} = 17*3 = 51 \ pages[/tex]
Estimate the circumference of the circular base of the object. Round to the nearest hundredth if necessary.
D battery with radius 0.65 in.
circumference: ___ in.
Answer:
4.09
Step-by-step explanation:
Circumference=
[tex]2\pi \times r[/tex]
The circumference of the circular base of the object is 4.082 in
What is circumference?The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center.
Given that, we need to find the circumference of the circular base of the object, whose radius is 0.5 in
The circular object is referred as circle, the circle's circumference is its boundary length measured in unit whose power is always 1, like m, cm, km etc.
Here, if we calculate the circumference of the object, we will get,
The circumference of any circular object given by :-
C = 2π×radius
C = 2×3.14×0.65 = 4.082 in
Hence, the circumference of the circular base of the object is 4.082 in
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What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale. NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!
Answer:
25,120 sq. metres
Step-by-step explanation:
Find the diagram attached
Lateral surface area = πrl
r is the radius
l is the slant height
Given
r = 160/2 = 80m
l = √r²+h²
l = √80²+60²
l = √6400+3600
l = √10,000
l = 100cm
Lateral surface area = 3.14 * 80 * 100
Lateral surface area = 25,120 sq. metres
How can you tell when a variable is a
perfect square?
Answer:
hope this helps
Step-by-step explanation:
If a variable with an exponent has an even exponent then it is a perfect square. To get the square root, we simply divide the exponent by 2. For example x8 is a perfect square, its square root is x4
Plz i need help and asap plus work pls and no files
Answer:
25%
Step-by-step explanation:
so out of 32 marbles, 8 of them are red. This means the rest are blue which is 24 blue. To make a percentage, all you do is make a fraction. out of 32, 8 were red so 8/32. Fractions are basically division so 8/32 is 0.25. This means 25%.
On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at noon. On average, she is able to clean the teeth of 9 patients in 4 hours
Write a function to represent the number of patients she sees, y, and the number of hours, 2. the hygienist works after lunch on Monday.
Enter your answer in the box
PLEASE HELP!
The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients
How to write Functions?We are given;
Number of patients the dental hygeinist cleans before lunch = 5
Average number that she cleans after lunch = 9 patients in 4 hours
Thus, number of patients per hour is 9/4
The formula for slope intercept form is;
y = mx + c
Thus, equation to represent the situation in the question is;
y = 9/4x + 5
At 2 hours after lunch, number of patients is;
y = 9/4(2) + 5
y = 9.5
Approximately 9 patients
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Given:
The vertices of a parallelogram GHJK are K(1,2), J(5,2), G(0,8).
To find:
The coordinate of the vertex H.
Solution:
We know that the diagonals of a parallelogram bisects each other. It means the midpoint of the diagonals are same.
Let the coordinate of the vertex H are (a,b).
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram GHJK ,
Midpoint of diagonal GJ = Midpoint of diagonal HK
[tex]\left(\dfrac{0+5}{2},\dfrac{8+2}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
[tex]\left(\dfrac{5}{2},\dfrac{10}{2}\right)=\left(\dfrac{a+1}{2},\dfrac{b+2}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{5}{2}=\dfrac{a+1}{2}[/tex]
[tex]5=a+1[/tex]
[tex]5-1=a[/tex]
[tex]4=a[/tex]
And,
[tex]\dfrac{10}{2}=\dfrac{b+2}{2}[/tex]
[tex]10=b+2[/tex]
[tex]10-2=b[/tex]
[tex]8=b[/tex]
Therefore, the coordinates of the vertex H are (4,8). Hence, option B is correct.
A shirt was sold for 31.99 after a markup price of 15% markup. What was the original price?
Answer:
27.82
Step-by-step explanation:
make a proportion
31.99/115 = x/100
I needs your helps please :) ty
Answer:
so the answer could either be
Yes. as elevation increases, the temp decreases
but..
there is also no trend coz the points are scattered i.e the temp
as the elevation is increasing the temp does vary.
so My final answer would be no, there is not a trend
Find the surface area and volume of each figure round your answer to the nearest 10th if necessary
Answer:
13
Step-by-step explanation:
connie sells lemonade for $0.25 per small cup and $0.75 per large cup. if she sells 20 small cups how many large ones must she sell?
Answer:
Not accomplishable.
Step-by-step explanation:
Could you please stucture this question more simply. This partly doesn't make sense, unless I am wrong.
which turn best describes a mathematical statement
Answer:
The correct answer is: D Conditional Statement. Explanation: A conditional statement is a statement in "if, then" form. This statement is "If A, then B." This makes it a conditional statement
Step-by-step explanation:
whats the length of d
Anna graphs y=4/5x+5 as shown. Select the statements that identify errors,if any,on Anna’s graph
Answer:
where is the graph????
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rewrite in slope-intercept form.
Tap for more steps...
y
=
4
5
x
−
5
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
4
5
y-intercept:
(
0
,
−
5
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
5
25
4
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
5
y-intercept:
(
0
,
−
5
)
Some students were asked to pick their favourite Action Hero.
3/5 chose Batman, 20% chose Hulk and the rest chose Iron Man.
.
Write the ratio of Batman: Hulk: Iron Man in Simplest form.
Select one:
a. 6:2:2
b. 60: 20:20
c. 3:1:1
Answer:
a
Step-by-step explanation:
First convert 3/5 to a percentage.
3/5 is 60% and 20% of the students chose Hulk. That leaves 20% who chose Iron Man. The simplest form of 60:20:20 is 6:2:2.
NEED HELP ASAP, WILL GIVE BRAINLIEST
The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation.
Which of the following statements is false?
Answer:
i think the second answer??
Step-by-step explanation:
Denver, Engle and Fido are all dogs who eat differing amounts of dog food. Denver gets 8 19 of the dog food. Engle and Fido share the rest of the food in the ratio 2 : 1 What is Fido's share of the dog food? Show your answer as a percentage, rounded to the nearest percent if necessary.
Answer:
This is hard
Step-by-step explanation:
-16(c-4)-12c+80 ( simplify each expression
Answer:
-28c+144
Step-by-step explanation:
if you simplify -16(c-4)-12c+80
it equals -28c+144
Explanations:
Distribute
-16(c-4)-12c + 80 ---> -16c + 64 - 12c +80
Add the numbers
-16c+64-12c+80 ---> -16c+144-12c
Combine like terms
-16c+144-12c
-28c+144
Translate the expression: 3 times the difference between 7 and
g is 90
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
PLEASE ANSWER THE QUESTION IN THE IMAGEEEEE
Answer:
=1/2 (2) (1/3)
Step-by-step explanation:You have to find the size of the sides using the intersecting lines and then multiply L*W
Answer:
1/2 (2) 1/3
Step-by-step explanation:
trust me broo
HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer