Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
Below are the pre-image and image a trapezoid. Choose the name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation
Answer:
None of the options
Step-by-step explanation:
Given
Trapezoids: ABCD and A'B'C'D'
Required
Select type of transformation
Notice that width and length of ABCD are larger than that of A'B'C'D'
This means that the transformation applied on ABCD shrinks it size to A'B'C'D'
From the list of given option'
None of the 3 options describes this type of transformation.
The applied transformation is Dilation because it affects the size of ABCD
Hence;
None of the options is correct
Answer:
The answer is Reflection
Step-by-step explanation:
I can’t figure out how to find the average.
Answer:
The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.
Step-by-step explanation:
Remember what an average is. (Look at the hint at the bottom of the problem.)
To find the average of a set of numbers, add all the numbers and divide by the number of numbers.
For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.
In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.
We know 3 of the 4 scores. We don't know the fourth score because he has not taken the test yet, so we use a variable to represent the unknown score. Let's call the score of the fourth test x.
To find the average of the 4 scores, we add them and divide the sum by 4.
The three known scores are 63, 62, 74.
The unknown score is x.
Add all 4 scores: 63 + 62 + 74 + x.
Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.
[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]
The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.
We get this inequality.
[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]
Now we solve the inequality for x.
Add like terms in the numerator.
[tex] \dfrac{199 + x}{4} \ge 70 [/tex]
Multiply both sides by 4.
199 + x = 280
Subtract 199 from both sides.
x = 81
Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.
A marble is selected at random from a jar containing 5 red marbles, 2 yellow marbles & 3 green marbles. What is the probability that a)the marble is red
b)the marble is not yellow
c)the marble is either red or green
d)the marble is neither red nor green
Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
Which number is prime?
49
51
53
55
Answer:
53
Good luck with your quiz/test :D
Answer:
53
Step-by-step explanation:
what is the answer 3x+15=8x
Answer:
3x +15 = 8x
5x = 15
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Move the Terms:
3x = 8x - 15
3x - 8x = -15
Collcect Terms.
-5x = -15
Divide:
3
Answer
x = 3
Hope this helped
Brainliest is appreciated
Can someone please help me out?
Answer:
S=46.6
Step-by-step explanation:
x is the number of years :
from 1998 to 2020 = 22 years
S-1.9x=4.8
S-(1.9)(22)=4.8
S=4.8+41.8
S=46.6
Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication
Answer:
you should use multiatication
Step-by-step explanation:
Answer:
lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS
Step-by-step explanation:
Which angle pairs are supplementary? Check all that
apply.
Angle 1 and angle 2
Angle 4 and angle 3
Angle 4 and angle 5
Angle 7 and angle 5
Angle 3 and angle 6
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
We need to identify which angle pairs are supplementary.
What are supplementary angles?Supplementary angles are two angles with a sum of 180°.
Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.
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WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95
Which scale factor was used to create triangle SRT?
Answer:
1.6
Step-by-step explanation:
5 times 1.6 is 8.
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of the longest side is unknown. What is the smallest possible whole-number length of the unknown side?
Answer:
17 inches.
Step-by-step explanation:
Answer:
answer is 17 inches
Step-by-step explanation:
What is the percent change from 56 to 39? Round your answer to the
nearest tenth.
Answer:
30.4%
Step-by-step explanation:
Use integration by parts to evaluate the indefinite integral
[ 2x sin(c) dx
Answer:
-2x cos x + 2 sin x + C
Step-by-step explanation:
∫ (2x sin x) dx
If u = 2x, then du = 2 dx.
If dv = sin dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 2x (-cos x) − ∫ (-cos x) (2 dx)
= -2x cos x + 2 ∫ cos x dx
= -2x cos x + 2 sin x + C
Answer:
[tex]\displaystyle \large{2 \sin x - 2x \cos x + C}[/tex]
Step-by-step explanation:
We are given the indefinite integral:
[tex]\displaystyle \large{\int {2x \sin x} \ dx }[/tex]
Using by-part method, we have to substitute u-term and dv appropriately.
By-part is an integration of product rules, when integrated the product rules of differentiation, we’ll obtain:
[tex]\displaystyle \large{\int {u} \ dv = uv - \int {v} \ du}[/tex]
Above is by-part method/formula.
Where 4 terms are presented:
ududvvOur main terms to substitute are u and dv which mean u-term has to be a function that’s differentiatable and dv has to be a function that’s integratable.
The main concept of by-part is to understand how to substitute appropriately which you can simply follow below:
LIATE
Stands for Logarithm, Inverse (Trigonometry), Algebraic, Trigonometric and Exponential.
These are in orders from first to last on what to let u-term first. That means logarithm functions must be the first to substitute themselves as u-term, so if you encounter a logarithmic function and a polynomial function, you must let u = logarithmic function while dv = polynomial.
In this case, we have 2x which is polynomial and sin(x) which is trigonometric. According to LIATE, we have to let Algebraic or Polynomial 2x be first to substitute as u-term, that means our dv is trigonometric sin(x).
Therefore, we have:
u = 2xdu = 2dx dv = sin(x)dxv = -cos(x)Now, substitute these terms in accordingly to formula of by-part.
[tex]\displaystyle \large{\int {2x \sin x} \ dx = 2x \cdot (-\cos x) - \int {-\cos x \cdot 2 \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + \int {2 \cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \int {\cos x \ dx}}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \cdot \sin x + C}\\ \displaystyle \large{\int {2x \sin x} \ dx = -2x \cos x + 2 \sin x + C}[/tex]
__________________________________________________
Summary
Property
[tex]\displaystyle \large{ \int {k f(x)} \ dx = k \int{f(x)} \ dx \ \ \ \ \tt{(k \ \ \ is \ \ \ a \ \ \ constant.)}\\[/tex]
Only shown in explanation.
By-Part
[tex]\displaystyle \large{\int u \ dv = uv- \int v \ du}[/tex]
LIATE
The functions in order that should be u-term from first to last.
Logarithm Inverse TrigonometricThese functions above do not have integration formula by default.
Polynomial (Algebraic)TrigonometricExponential (Last since it’s the easiest to integrate, especially natural exponential)Indefinite Integral
Make sure to always add + C after evaluating the integral, regardless what multiplies or attempts to affect + C, we must always add + C.
__________________________________________________
Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
a)Manny rode his bike for 3 hours. How far did he travel?
b)Manny rode his bike for 1.5 hours. How far did he travel?
Answer:
A. 54 miles B. 27 miles for the bikeathon
5. Natalie has a pound bag of 1/8 pound bag of gummy worms, a 1/2 pound bag of twizzlers, and a 2/3 pound bag of chocolate. How many pounds of candy does Natalie have in all?
Step-by-step explanation:
1. Add all the different candies together
1/8 + 1/2 + 2/3=
2. Find the lowest common multiple of all the denominators
All the denominators can evenly multiply to 24 so 24 is the Lowest Common Denominator.
3. Multiply to make all the denominators 24
8x3=24 2x12=24 3x8=24
4. Whatever you did to the denominators, do the same thing to the numerators of that specific denominator.
1x3/8x3 1x12/2x12 2x8/3x8
5. Now that the denominators are the same for all the fractions, add all the numerators together.
3/24 + 12/24 + 16/24
3+12+16= 31
ANSWER: Natalie had 31/24 pounds of candy in all
Note: The decimal form is 1.292 pounds
10 x 1/5 in simplest form
Hey there!
ANSWER: [tex]2[/tex]EXPLANATION:[tex]10*1/5[/tex]
Divide 10 by 5.
[tex]10/5=2\\2(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
2.
Step-by-step explanation:
[tex]10 *\frac{1}{5} = 2[/tex]
find the first three terms of the sequence with nth term 3n-2
Answer:
To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.
so the three terms a
3(1)-2=1
3(2)-2=6-2=4
3(3)-2=9-2=7
As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16
so 16 is the tenth term
Hope this helped!
Solve the following function. Show all work.
If g(x) = – 3x + 2, find g(–4).
13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.
Answer: 35 minutes
Step-by-step explanation:
Since we are given the value of h, we can plug that into the equation and solve.
20+15 [add]
35
Now, we know that it is 35 minutes.
10 ft 8 ft 5 ft 4 ft 8 ft 17 ft What is the volume of the figure? Enter the answer in the box. 1 cubic feet
Answer: 944 cubic feet
Step-by-step explanation:
Answer:
It’s 944
Step-by-step explanation:
It was on my last test and I got it right
h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)
A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt
Answer: 0.08192
Step-by-step explanation:
Given: Probability of free throws = 0.80
Then, probability of missing the free throw = 1-0.80=0.20
Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-
[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]
Put p = 0.20 , x=5 and r =1, we get
The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]
[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]
hence the required probability =0.08192
Answer:0.08912
Step-by-step explanation:
Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r
Answer:
q = r
Step-by-step explanation:
Explanation:-
Given 2q – r = 4p ...(i)
2r = q...(ii)
r = 2p ...(iii)
Substitute 2r = q in equation (i)
2(2r) – r = 4p
3 r = 4 p
2 r + r = 4 p
2 r + 2 p = 4 p
2 r = 2 p
q = r
If the room had a volume of 5,184,000 cubic inches, approximately how many basketballs
did the students put in the principal's office if each basketball has a volume of 523.6 cubic inches?
Answer:
around 9900.6 balls can fit in the room
Step-by-step explanation:
3.60 rounded to the nearest tenth
Answer:
3.6 its already rounded just take off the 0
The requried when rounding 3.60 to the nearest tenth is given as 3.60.
When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.
The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.
In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.
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For an indirect proof, what must first be assumed to prove that LaTeX: \angle X∠ Xis a right angle?
Answer:
If the lines that forms < X are perpendicular, it can be assumed that it is a right angle.
Step-by-step explanation:
An indirect proof of an angle is an assumption about the value of the angle that can be made by mere inspection and some considerations.
< X = right angle = [tex]90^{o}[/tex]
A right angle is one that is equal to [tex]90^{o}[/tex]. As an indirect proof, if the lines that forms the angle are perpendicular; then it can be assumed to be a right angle. Because perpendicular lines are at right angle to one another.
Answer:
verified answer isn't right
Step-by-step explanation:
i dont know the answer but just thought i should let people know
Beyoncé drove 6 miles in 18 minutes and Kelly drove 4 miles in 16 minutes. Who
traveled at a greater average speed? Define an appropriate unit of speed and provide
mathematical justification for your answer.
Beyoncé 18 min = 18/60= = .3 per hour
Kelly = 16 min. 16/60 = 2.6 per hour
So your answer is Beyoncé
The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.
Answer:
96 inch,180 inch,216 inch
Step-by-step explanation:
let the sides be 8x,15x,17x
then 8x+15x+17x=480
40x=480
4x=48
x=48/4=12
8x=8×12=96
15x=15×12=180
17x=17×12=216
~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~ ~ BRAINLIEST ~
Answer:
THe answer is 13
Step-by-step explanation:
Answer:
its the second one 13
Step-by-step explanation: