Answer:
Leading term: 4x⁴y³
Leading coefficient: 4
Constant term: 7
The leading term contains the highest degree and power of variable.The leading coefficient is the number written in front of the variable with the largest exponent.The constant term is the simplified number written where there are no variables.Answer:
Leading terms : 4x⁴y³
Leading co-efficient: 4
Constant: 7
Step-by-step explanation:
Leading term: Leading term is the term that holds the highest degree of the polynomial.
Leading co-efficient is the coefficient of the leading term.
Constant term is the term without any variable
Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).
A. -(2√2)/3
B.4/3
C.2√2/3
Answer:
Step-by-step explanation:
[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]
A user manual with 500 pages has 4 pages without diagrams.
What percent of the pages do not have diagrams?
0.25%
0.49%
0.8%
1.25%
0.8%
first we divide 4÷500×100
the we get 0.8%
Answer:
This is so easy it's 0.8%
Step-by-step explanation:
I barely pay attention in class but this is easy work
hope it helps anyways!
p.s i am in k12 sooo ^_^
A total of 249 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answer:
83
Step-by-step explanation:
I really need help on this one
Answer:
-3x+9y=-57
Substitute the x for 4
-3(4)+9y=-57
-12+9y=-57
Add +12
-12+9y=-57
+12 +12
9y=-45
Now divide the 9 to get y by itself
9y=-45
÷9 ÷9
y=-5
So the value of y is -5
☆anvipatel77☆
•Expert•
Brainly Community Contributor
Please help Khan Academy is due soon and I must FINISH!!!!!
When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.
So
6 x 7 = 42
and
6 x -4n = -24n
So the final answer is: 42 - 24n
*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.
6.RP.A.3.C
A dress costs $63. If the store is
having a 20% off sale, how much does
the dress cost now?
Answer:
$50.40
Step-by-step explanation:
20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4
which is a solution to x - 3x + 9 equals negative 27
Answer:
x = 18
Step-by-step explanation:
[tex]\sf x - 3x+9= - 27[/tex]
Let's first combine like terms.
[tex] \sf - 2x+9= - 27[/tex]
Subtract 9 from both sides.
[tex]\sf - 2x= - 27 - 9[/tex]
[tex] \sf - 2x= - 36[/tex]
Divide both sides by −2.
[tex]\sf x=18[/tex]
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length FH.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
28
53
117
Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
__
Triangle EGH:EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
Triangle FGH:FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Please solve with explanation
Answer: h₁ = ~2790.9943 meters tall
Step-by-step explanation:
[tex]h_1 = h_2 + h_3[/tex]
h₂
[tex]sin(a) = \frac{h_2}{h}[/tex][tex]sin(47^{o}) = \frac{h_2}{2200}[/tex][tex]2200sin(47^{o}) = h_2[/tex][tex]~1608.9781 = h_2[/tex]h₃
[tex]sin(a) = \frac{h_3}{h}[/tex][tex]sin(52^{o}) = \frac{h_3}{1500}[/tex][tex]1500sin(52^{o}) = h_3[/tex][tex]~1182.0161 = h_3[/tex]h₁
[tex]h_1 = h_2 + h_3[/tex][tex]h_1 = 1608.9781 + 1182.0161[/tex][tex]h_1 = 2790.9943[/tex]What is the area of the shaded region?
Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Wednesday, May 25th*
NO LINKS!!
VWXYZ ~ IJKGH. Find HI, GK, AND JK.
Answer:
HI = 35
GK = 45
JK = 25
Provided:
VWXYZ ≅ IJKGHGiven proportional sides:
GH = 30, YZ = 36Find the scale factor:
30/36 = 5/6Find missing sides:
1) HI = ZV × 5/6 = 42 × 5/6 = 35
2) GK = XY × 5/6 = 54 × 5/6 = 45
3) JK = WX × 5/6 = 30 × 5/6 = 25
Answer:
HI = 35
GK = 45
JK = 25
Step-by-step explanation:
If VWXYZ ~ IJKGH
Then:
VW ~ IJ WX ~ JKXY ~ KGYZ ~ GHZV ~ HIYZ and GH is the only pair of corresponding sides for which we have been given the lengths:
YZ = 36 and GH = 30
Therefore,
VWXYZ : IJKGH = 36 : 30 = 6 : 5
Find HI
ZV : HI = 6 : 5
⇒ 42 : HI = 6 : 5
⇒ 42/HI = 6/5
⇒ 42 · 5 = 6 HI
⇒ HI = 210/6
⇒ HI = 35
Find GK
YX : GK = 6 : 5
⇒ 54 : GK = 6 : 5
⇒ 54/GK = 6/5
⇒ 54 · 5 = 6 GK
⇒ GK = 270/6
⇒ GK = 45
Find JK
WX : JK = 6 : 5
⇒ 30 : JK = 6 : 5
⇒ 30 /JK = 6/5
⇒ 30 · 5 = 6 JK
⇒ JK = 150/6
⇒ JK = 25
PLEASE HELPPPPP IM OFFERING 100 POINTS
Answer:
36
Step-by-step explanation:
The angles of the triangle are equal.
Hence, the sides of the triangle must also be equal.
It is an equilateral triangle.
Equating JK and KL :
2x + 24 = 10x - 2410x - 2x = 24 + 248x = 48x = 6Finding KL :
KL = 10(6) - 24KL = 60 - 24KL = 36All angles are equal means all sides are equal
2x+24=10x-2424+24=10x-2x48=8xx=48/8x=6KL
10x-2410(6)-2460-2436what is the unit price for 4 greeting cards for $10
Answer:
$2.5/card
Explanation:
Unit price is the price for buying one item.
Here given:
total greeting cards: 4total cost: $10Unit price :-
total cost ÷ total units10 ÷ 4$2.5 per cardPLEASE HELP 25 POINTS!!!
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify following
a1 = 2r = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =4[/tex]
The sum of this infinity series is 4
Find th areas and circumference 5 cm 2 cm
Answer:
The Area is 10cm, and the perimeter is 14cm
Step-by-step explanation:
Area:
a = w · l 5cm · 2cm =10cm
Perimeter:
p = 2(l+w) 2(5 + 2) = 14
Why does it coats $18 per hour ?
Evaluate 2x-5x+ 12
when x = -2
Answer:
2(-2)-5(-2)+12
-4-(-10)+12
6+12
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
2(-2)-5(-2)+12
-4+10+12
=18
Hope this helps! ;-)
A line passes through (- 1, 1) and (3,9).
What is the equation of the line in slope-intercept form?
O y = x + 6
O y = 2x + 3
O y = x + 2
O y = 2x + 9
Answer:
y = 2x + 3
Step-by-step explanation:
Hi there!
We are given the points (-1, 1) and (3,9) which belong to a line
We want to write the equation of the line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Let's label the values of the points before we start, to avoid confusion and mistakes
[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]
Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{9-1}{3--1}[/tex]
Simplify
m=[tex]\frac{9-1}{3+1}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m = 2
The slope of the line is 2
We can substitute this as m in y=mx+b.
y = 2x + b
Now we need to find b
As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.
Taking (3, 9) for example:
substitute 3 as x and 9 as y.
9 = 2(3) + b
Multiply
9 = 6 + b
Subtract 6 from both sides
3 = b
Substitute 3 as b in the equation
y = 2x + 3
Hope this helps!
Topic: finding the equation of the line
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Use the information in the table to find the indicated probability.
Number of Degree Recipients at a Local College
Degree Male Female
Associate's 224 387
Bachelor's 547 776
Advanced 245 322
Find P(the recipient is male).
Using it's concept, it is found that the desired probability is given as follows:
P(the recipient is male) = 0.4242 = 42.42%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there was a total of 224 + 387 + 547 + 776 + 245 + 322 = 2501 recipients, out of which 224 + 547 + 245 = 1016 are males, hence the probability is given by:
P(the recipient is male) = 1016/2501 = 0.4242 = 42.42%.
More can be learned about probabilities at https://brainly.com/question/14398287
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Anna cooks 12 cups of tomato soup in a large pot. She fills 4 bowls with 10 fluid ounces of soup each from the pot. How many cups of soup are left in the pot?
Hint: There are 8 fluid ounces in 1 cup.
Answer:
68 cups
Step-by-step explanation:
You must divide then multiply the reciprocal
7th grade math perimeter!!! Help
Answer:30.28 cm^2
Step-by-step explanation: area of the rectangle = 6x4 = 24
area of semicircle -> (πr^2)/2
radius of semcircle = 4/2 = 2
area of this question semicricle = (π2^2)/2
= 6.28 (3 s.f.)
total area = 24+6.28 =30.28 cm^2
remember put units ^^
Please help! Algebra 2
[tex]y = \sqrt[3]{x - 8} [/tex]
When translating the function in the positive x direction, we have to subtract the value from x
The volume of a right cone is 168π units^3. If its diameter measures 12 units, find its height
Answer:
14 unitsStep-by-step explanation:
In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.
[tex] \: [/tex]
To Find the height of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\[/tex]
Therefore,
The height of the cone is 14 units .What is the Area and Perimeter??? PLEASE HELP
Answer:for area you times them and for perimiter you add
Step-by-step explanation:
hope you understand
A frame contains 4 pounds of gold. Suppose gold is worth $1277 per ounce. How much would the gold in the frame be worth?
Answer:
81728
Step-by-step explanation:
1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728
Give a real-life situation for the sum. (will mark brainiest!!)
Answer:
Jeff is 15 years younger than Joe who is 10
Step-by-step explanation:
PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).
The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20
How to find the nth term of a sequence?We are given the formula for a sequence as;
aₙ = -5(n² + 1n)
Where n is the position of the term.
Now, for the first term, we will have;
a₁ = -5(1² + 1(1))
a₁ = -10
The second term of the sequence is;
a₂ = -5(2² + 1(2))
a₂ = -20
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PLEASE HELP WILL MARK BRSINLIEST!!!!!pleaseeee
Answer:
[tex]x(3x-7)=3x^2-7x[/tex]
Step-by-step explanation:
[tex]\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}[/tex]
[tex]\textsf{Therefore,}\quad x(3x-7)=3x^2-7x[/tex]
Question 1-3
Find the average rate of change of the function, f (x) = log₂ (4x) on the interval of x = 2 to x = 8.
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Given g of x equals cube root of the quantity x plus 6, on what interval is the function negative?
The interval for the function to be negative will be (-∞<x<-7).
What is a function?A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
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Answer:
(–∞, –6)
Step-by-step explanation:
I got it right on exam.