Answer:
3n + 8 < 5n
n > 4
Step-by-step explanation:
Let
n = cost of viewing videos
Plan A: $3 per video viewed, plus a flat rate of $8 per month
Total cost for plan A = 3n + 8
Plan B: $5 per video viewed and no additional flat rate
Total cost for plan B = 5n
Plan A is less than the cost of viewing n videos using Plan B
The inequality
3n + 8 < 5n
8 < 5n - 3n
8 < 2n
8/2 < n
4 < n
n > 4
An alarm bell will ring when the pressurized gas in a cylinder reaches an internal pressure that is 215% of the maximum allowable pressure. If the maximum allowable pressure
is 220 pounds per square inch, at what pressure, in pounds per square inch, will the alarm bell ring?
Answer:
The alarm bell will ring at 473 psi.
Step-by-step explanation:
To answer this, find 215% of 220 pounds per square inch:
Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:
2.15(220 psi) = 473 psi
The alarm bell will ring at 473 psi.
A high school band has 63 members. 2/9 of the members play a
brass Instrument. How many students play a brass instrument?
Answer:
Members: 14 hope this helps ;)
Step-by-step explanation:
So, we see that there is 63 members (in all) so then we would do 2/9 x 63 = 14. We have 14 members playing a brass instrument
These triangles are congruent by the triangle congruence postulate [?]
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
[tex]AB\cong CD[/tex] (Given)
[tex]\angle BAC\cong \angle DCA[/tex] (Given)
[tex]AC\cong AC[/tex] (Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[tex]\Delta ABC\cong \Delta CDA[/tex] [SAS congruence postulate]
Therefore, the correct option is B.
helpppppp meeeee!!!!!
if u answer all 5 questions i´ll give you Brainliest!!!
Answer:
You can use M a t h w a y. and you will get all the correct answers
Step-by-step explanation:
Hope this helps :)
Answer:
question 21: 29
question 16: -1/729
question 15: 1/144
question 14: 1/64
question d=rt, solving for t: answer is Letter G, t=d/r
Step-by-step explanation:
Hope this helps
Are the following polygons similar ? Explain
Answer:
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.
Step-by-step explanation:
PLEASE HELP! Solve the system of equations by graphing on your own paper. What is true about the system?
A. There is exactly one solution to the system of equations.
B. There are infinitely many solutions to the system of equations,
C. There are exactly two solutions to the system of equations.
D. There are no solutions to the system of equations.
Answer:
B. There are infinitely many solutions to the system of equations,
Step-by-step explanation:
they are the same line look at image
What is $14.81+$16.19-8cents? plz hurry
Answer:
$30.92
Step-by-step explanation:
Answer:
$23 I hope this helps :)
Step-by-step explanation:
I hope you guys can help me with this question :)
What is the value of x? (giving brainliest and thanks to all!)
Answer:
x = 12
Step-by-step explanation:
Given a line parallel to a side of the triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )
10x = 120 ( divide both sides by 10 )
x = 12
The total cost of an order of gift baskets includes the cost of each gift basket plus a one time delivery fee. The cost of each gift basket is the same regardless of how many the customer orders. One company bought 40 gift baskets for their employees for a total of $715. Another company bought 400 gift baskets for $5,935. Based on the information given, what is the cost per gift basket?
Answer:
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Step-by-step explanation:
Let
x = cost of each gift basket
y = one time delivery fee
40x + y = 715 (1)
400x + y = 5935 (2)
Subtract (1) from (2)
400x - 40x = 5935 - 715
360x = 5220
x = 5220/360
x = 14.5
Substitute x = 14.5 into (1)
40x + y = 715 (1)
40(14.5) + y = 715
580 + y = 715
y = 715 - 580
y = 135
x = cost of each gift basket = $14.5
y = one time delivery fee = $135
Solve.
-d/11 - 4 < 1
The solution to the inequality is ----.
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
inequality form:
d>-55
interval notation:
(-55, ∞)
Answer:
−11d−4<1
2
Suma 44 a ambos lados.
-\frac{d}{11}<1+4−11d<1+4
3
Simplifica 1+41+4 a 55.
-\frac{d}{11}<5−11d<5
4
Multiplica ambos lados por 1111.
-d<5\times 11−d<5×11
5
Simplifica 5\times 115×11 a 5555.
-d<55−d<55
6
Multiplica ambos lados por -1−1.
d>-55d>−55
Step-by-step explanation:
d>55
use graph to answer the question
Answer: [tex]36.86^{\circ}[/tex]
Step-by-step explanation:
Given
Coordinates of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis
From figure, we can write
[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]
Consider f(x) = 3x^2 – 14 and g(x) = –12x + 4. Which statements about f + g is true? Select all that apply.
Answer:â
Step-by-step explanation:
f(x)+g(x)=3x^2-14-12x+4=3x^2-12x-10
Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
Answer:
The square root of 37 minus the square root of 26
[tex]\sqrt{37} -\sqrt{26}[/tex]
Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f ( t ) = − 8 t 2 + 48 t + 40 , f ( t ) = - 8 t 2 + 48 t + 40 , where t represents the time in seconds after the ball was thrown and f ( t ) f ( t ) represents its height, in feet, from the ground. Part A. How high is the roof from the ground? How many seconds did it take for the ball to hit the ground after it was thrown off the roof? Part B. Jimmy wanted to throw the ball at a maximum height of 120 feet. Did Jimmy's baseball reach this height after it was thrown? Explain your answer.
Answer:
Step-by-step explanation:
The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get
[tex]f(t) = -(t^2-6t-5)[/tex] and a = 1, b = -6, c = -5.
Filling in the quadratic formula now looks like this:
[tex]t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)}[/tex] and
[tex]t=\frac{6+-\sqrt{36+40} }{2}[/tex] and
[tex]t=\frac{6+-\sqrt{56} }{2}[/tex] so the 2 solutions are
[tex]t=\frac{6+\sqrt{56} }{2}=6.74sec[/tex] and
[tex]t=\frac{6-\sqrt{56} }{2}=-.742sec[/tex] and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.
In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:
[tex]-8(t^2-6t)=-40[/tex] Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:
[tex]-8(t^2-6t+9)=-40+??[/tex]
Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.
[tex]-8(t^2-6t+9)=-40-72[/tex]
The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:
[tex]-8(t-3)^2=-112[/tex]
For the last step, add over the -112 and set it back equal to f(t):
[tex]-8(t-3)^2+112=f(t)[/tex] From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.
Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right
Answer:
A, B, & D
Step-by-step explanation:
A. isosceles - 2 sides equal (actually) all sides are equal
B. equilateral - all sides equal and all angles are equal too
D acute - all angles are less than 90 degrees
The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing
calculator and a system of equations.
Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
It’s another one thanks for the help
Answer:
Step-by-step explanation:
volume of a cylinder=πr^2*h
226.2=3.14*8*r^2
226.2=25.12*r^2
226.2/25.12=r^2
9=r^2
[tex]\sqrt{9[/tex]=r
3=r
radius =3 feet
will mark brainliest
Answer:for points vgunvh
Step-by-step explanation:
How do I solve this?
someone please help me out with these questions . I don’t get them at all.
Answer:
a)similar; b)similar; c)similar; d)NOT similar
Step-by-step explanation:
>In general if
all corresponding angels are ≅, and
all corresponding sides are in proportion
then the Δs are similar
>we have 3 similarity theorems AA, SSS, and SAS
a)
we can use that sum of angles in a triangle is 180 to find the missing angles
180-96-32 = 52
so in the smaller triangle the angles are 96°-52°-32°
in the larger triangle the angles given are 52°-32°
Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated
b)
here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?
14/44.8 =.3125 is equal to 20/64=.3125
since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.
c)
because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)
d)
here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here
18/90 = .2
44/202.4≈.22
58.5/211.2≈.28
.2≠ .22 ≠ .28
since the sides are not in proportion the 2 triangles are NOT similar.
PLease help me answer this.
Answer:
1093.96
Step-by-step explanation:
900(1+.05)⁴=1093.955625
A
5
4
2
-6
-5
-4
-3 -2
-1
2
3
4
5
6
-2
-6
The reflection of points across the y-axis is point
The reflection of point Q across the x-axis and the y-axis is point
whose
coordinates are
Answer:
To be honest I don't understand this question
You are installing a ramp for your house because grandma is coming to live with you! If the measure of angle B is 90 degrees and the measure of angle C is 17 degrees, what is the measure of angle A?
Answer:
73
Step-by-step explanation:
I Gotchu!
180=90+17+x
90=17+x
73=x
73!
-2x(6x^4 -7x^2 +x-5 in standard form pls
Answer:
-12x^5 + 14x^3 -2x^2 + 10x
Step-by-step explanation:
-2x(6x^4 -7x^2 +x-5) =
-12x^5 + 14x^3 -2x^2 + 10x
What is the completely factored form of this polynomial? 7x4 + 14x3 − 168x2 A. 7x3(x + 4)(x − 6) B. 7x2(x + 4)(x − 6) C. 7x2(x − 4)(x + 6) D. 7x3(x − 4)(x + 6)
Answer:
7x^2*(x-4)*(x+6)
Step-by-step explanation:
7x^4 + 14x^3 - 168x^2
common factor 7x^2
7x^2*( x^2+2x-24)
now we factor ( x^2+2x-24)
(x-4)*(x+6)
Solution
7x^2*(x-4(*(x+6)
The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
What is polynomial ?
The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given polynomial as:
7x⁴ + 14x³ - 168x²
There is a common factor 7x²
7x²( x² + 2x - 24)
To determine the factor of ( x² + 2x - 24)
⇒ 7x²( x² + 2x - 24)
⇒ 7x²( x² + 6x - 4x -24)
⇒ 7x²[x(x+6) - 4(x+6)]
⇒ 7x²(x-4)(x+6)
Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
Learn more about polynomial here:
brainly.com/question/13947055
#SPJ2
How many solutions are there to this equation?
3(3x-1)=6x-3
A.no solutions
B.one solution
C.two solutions
D.infinite solutions
Answer:
One Solution
Step-by-step explanation:
3(3x-1)=6x-3
9x-3 = 6x-3
9x-6x= -3+3
3x=0
3x/3 = 0/3
x=0
The solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
The given equation is;
[tex]\rm 3(3x-1)=6x-3[/tex]
The solutions are there to this equation is determined in the following steps given below.
[tex]\rm 3(3x-1)=6x-3\\\\9x-3=6x-3\\\\9x-6x=-3+3\\\\3x=0\\\\x=0[/tex]
Hence, the solutions are there to the equation [tex]\rm 3(3x-1)=6x-3[/tex] is one solution.
Learn more about equation here;
https://brainly.com/question/21511618
#SPJ2
You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing a red tile and then a vowel is
Find the percent of change from 48 people to 71 people. Round to the nearest tenth of a percent if necessary.
Step-by-step explanation:
Here, the number of people has beed increased.
→ Number of people increased = 71 - 48
→ Number of people increased = 23
[tex] \to \% \: change = \left ( \dfrac{23}{71} \times 100 \right ) \: \% \\ [/tex]
[tex] \to \% \: change = \left ( \dfrac{2300}{71} \right ) \: \% \\ [/tex]
[tex] \red{ \to \% \: change = 32.39 \: \%} \\ [/tex]
Therefore, percentage change is 32.39 %.
Please help me I’m stuck on this urgent
Answer:
The answer for "b" is... B.
or 53˚
Step-by-step explanation:
Subtract 180 with 127
which is 53˚