Answer:
To add fractions, find the LCD and then combine.
Exact Form:
-7/15
Decimal Form:
−0.46
5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A 4:3
B 4:9
C 3:9
D 3:4
Curriculum Associates, LLC
SHOW YOUR WORK
Find the 7th term in the following binomial expansion(4f+t/3)8 in ascending powers of t
Answer:
[tex]\displaystyle T_6=\frac{448}{729} f^2t^6[/tex]
Step-by-step explanation:
Binomial Theorem
Any power of x + y can be expanded into a sum of the form:
[tex]\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}[/tex]
For any given term k, counted from 0 to n:
[tex]\displaystyle T_k={n \choose k}x^{n-k}y^{k}[/tex]
Note if we have to find the 7th term, we have to use k=6. The expression is:
[tex]\displaystyle \left(4f+\frac{t}{3}\right)^8[/tex]
For n=8, x=4f, y=t/3, k=6:
[tex]\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}[/tex]
Calculate:
[tex]\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28[/tex]
Thus:
[tex]\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}[/tex]
Simplifying, the 7th term is:
[tex]\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}[/tex]
Türevin tanımı ile çözümü
Answer:
15/2
Step-by-step explanation:
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
Equations and Graphs of Rational Functions Precalculus 12
A car can travel 450 km in the same time it takes a train to travel 350 km. The car's average speed is 20 km/h faster than the average speed of the train. What is the average speed of the car? Give your answer to two decimal places.
I would just like help with figuring out the right equation for this word problem, because I cannot figure this out.
Answer:
The average speed of the car is 90 km/h
Step-by-step explanation:
The rule of the distance id D = v × t, where
v is the speedt is the time∵ A car can travel 450 km in the same time it takes a train to travel
350 km
→ That means the time of them are equals
∴ Time of the car = Time of the train
→ From the rule above t = [tex]\frac{D}{v}[/tex]
∵ D(car) = 450 km and D(train) = 350 km
∵ The car's average speed is 20 km/h faster than the average speed
of the train
→ Assume that the average speed of the train is x km/h
∴ v(train) = x km/h and v(car) = (x + 20) km/h
→ Use the rule of the time above to find the time of each one
∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]
∵ t(train) = [tex]\frac{350}{x}[/tex]
∵ t(car) = t(train)
∴ [tex]\frac{450}{(x+20)}[/tex] = [tex]\frac{350}{x}[/tex]
→ By using cross multiplication
∵ 450 × x = 350 × (x + 20)
∴ 450x = 350(x) + 350(20)
∴ 450x = 350x + 7000
→ Subtract 350x from both sides
∴ 100x = 7000
→ Divide both sides by 100 to find x
∴ x = 70
∵ x represents the average speed of the train
∴ The average speed of the train = 70 km/h
∵ The average speed of the car = x + 20
∴ The average speed of the car = 70 + 20
∴ The average speed of the car = 90 km/h
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
Answer:
Step-by-step explanation:
there are a couple ways to find slope
1. Rise over Run Method:
for this method, you use basic counting
to do this, you count the number of x spaces it takes the line to get from one y space to the next
for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces
you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment
so we know the rise is -1 and the run is 3
if you put this into rise/run format, you get 1/-3
so -1/3 is you slope
2. Using the Coordinates
in this line, you see two points
the points are 1. (-1, -1), and 2. (2, -2)
using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)
the x2 is the x value of the second coordinate (2), the x1 is the x value of the first coordinate (-1)
if you plug these it you get: -2 - (-1) / 2 - (-1)
this can be simplified to -2 + 1 / 2 + 1
and simplified again to -1/3
Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.
A teacher wants to buy supplies to make kits for students that each contains a pencil, a pen, an eraser, and a notebook. Write and solve an equation to find the greatest number of kits the teacher can make by spending $35. Explain your reasoning.
Answer:
10 kits
Step-by-step explanation:
Because the price of one kit is $3.45 (pencil, pen, eraser, and a notebook). You can get 10 kits for $34.50. 11 kits would be over the amount she would be willing to pay for the kits.
Hope this is helpful, to you have a gret day! Brainliest would be awesome.
If f(x)=8x+2, find the inverse *
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
To find the inverse first we need to solve the equation for x ,
Then put x instead of y .
_________________________________
Let's do it...[tex]f(x) = 8x + 2[/tex]
[tex]y = 8x + 2[/tex]
[tex]8x + 2 = y[/tex]
Subtract sides 2
[tex]8x + 2 - 2 = y - 2[/tex]
[tex]8x = y - 2[/tex]
Divide sides by 8
[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]
[tex]x = \frac{y - 2}{8} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which dimensions cannot create a triangle?
three angles measuring 254, 650, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 14 ft
HELP!!!
What is the length of KL?
th
3x
Lx+6k
Answer:
KL =9cm
Step-by-step explanation:
IL = KL {being corresponding side of congruent triangle}
or, 3x = x+6
or, 3x-x = 6
or, 2x = 6
or, x = 6/2
or, x = 3cm
Now,
KL = x+6
= 3+6
=9cm
BRAILLEST just help me answer
Answer:
Hello! What are the questions? You can type them in Comments and I will edit my answer :)
Step-by-step explanation:
Answer:
what are the questions I don't see any?
Step-by-step explanation:
2(3x+4)=38
what is the answer
Answer:
x=5
Step-by-step explanation:
1. Distribute
2. Subtract 8 from both sides of the equation.
3. Simplify
4. Divide both sides of the equation by the same term
5. Simplify
6. Solution : = 5
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
1.2x-2.4=84
Pls show work...
Answer:
x=72
Step-by-step explanation:
1.2x−2.4=84
Step 1: Add 2.4 to both sides.
1.2x−2.4+2.4=84+2.4
1.2x=86.4
Step 2: Divide both sides by 1.2.
x=72
Answer: x=72
Step-by-step explanation:
Can anyone asnwer this ?
i need the answer help
Answer:
the second one(20)
Step-by-step explanation:
If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.
4(20)-10
80-10
70
70+20=90
Answer: The answer to this question is 20 degrees
Step-by-step explanation:
So, you know that it's a straight line, which is 180 degrees. The angle on the very left is 90 degrees because it's a right angle.
So that means (x + 10) + x = 90 degrees because 180 - 90 = 90
Solve that equation for x:
x + 4x - 10 = 90
5x = 100
x = 20
So, your final answer is 20 degrees
MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
What is the value of angle PDV
Answer:
9y+7=2y+98
7y+7=98
7y = 91
y = 13
m<PDV = 2y+98
= 2(13)+98
= 26+98
= 124
Hi! can someone simplify this, thank youu
k-6:5 + 4-k:6= 6k-36+20-5k:30 =
k-16:30
Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day
Answer:
11000 meters
Step-by-step explanation:
1km=1000m
5km=5000m
5000+6000=11000m
2. La forma correcta de representar la suma de -6 con-12 es:
a)-12 +-6= - 6 b) +-12 +-6 = c)-6 (+) 12 =
3. El resultado de aplicar la jerarquía de operación es a la cadena
70.5 x 18 + 120 = 4 es:
a) 10
b) 35
c) 50
4. Un corredor de maratón lleva de la carrera. La distancia a cubrir e
esta competencia es de 42 km, ¡qué distancia lo hace falt
Answer:
a) +-12-6
b) 70.5 * 18 = 1,269 + 120 = 1389 - 4 = 1385
c) 18
Step-by-step explanation:
Give the numerator [n] and the denominator [d] after simplifying.
Answer:
Answer would be (n) = x(x+y)(x-2y) and the (d) = y^2
Step-by-step explanation:
Hope it helps
Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!
Answer:
For any equation X€R But here is Nothing like it.
Step-by-step explanation:
0 = -x^-4 is wrong to say.
What is the simplified value of the exponential expression 27}?
оооо
3
9
1/3
1/9
Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.
But, I am assuming that your exponential expression is:
[tex]\:27^{\frac{1}{3}}[/tex]The reason is that my solution would still clear your concept about this topic, no matter what the question is.
Answer:
The simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
Step-by-step explanation:
Assuming the exponential expression
[tex]\:27^{\frac{1}{3}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:27=3^3[/tex]
[tex]=\left(3^3\right)^{\frac{1}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^1[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
[tex]=3[/tex]
Therefore, the simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March $114,900
April 106,900
May 97,300
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.
Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.
Answer:
Hey bro
Step-by-step explanation:
Carl simplified this expression. What did he most likely do wrong?How many multiples of 2 does the prime factorization of the number 96 have?
Answer:
2⁵
Step-by-step explanation:
Given:
Number 96
Computation:
96 = 2 x 2 x 2 x 2 x 2 x 3
96 = 2⁵ x 3
So, Number 2 repeat 5 times
The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6 degrees with the ground. How much longer must the ramp be in order to make the angle 3 degrees? Round the answer to the nearest tenth.
Answer:
The ramp should be 32.9 feet longer.
Step-by-step explanation:
When the ramp is at [tex]6^{o}[/tex] to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]6^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 6^{o} }[/tex]
= [tex]\frac{3.45}{0.10453}[/tex]
= 33.0048
l = 33.0 feet
When the angle is reduced to [tex]3^{o}[/tex], the length of the ramp would be;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin [tex]3^{o}[/tex] = [tex]\frac{3.45}{l}[/tex]
l = [tex]\frac{3.45}{Sin 3^{o} }[/tex]
= [tex]\frac{3.45}{0.05234}[/tex]
= 65.9152
l = 65.9 feet
Change in length of ramp = 65.9 - 33.0
= 32.9
The ramp should be 32.9 feet longer.
Solve 5x -9= 90 step explanation
Answer:
x = 19.8
Step-by-step explanation:
5x - 9 = 90
5x = 90 + 9
5x = 99
x = 19.8
Hope this helped!
Answer:
19.8
Step-by-step explanation:
5x-9=90
Cancel the 9 on both sides, so you get:
5x=90+9
5x=99
x= 19.8
In a capture-recapture study, a biologist tagged and released 330 deer. A month later she captured 40 deer, 10 of which had tags. About how many deer were in the population?
Answer:
I think that there should be 320 tagged deer in the population
A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.
What is a Ratio?A ratio shows us the number of times a number contains another number.
When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,
[tex]\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320[/tex]
Thus, the total population of the deer after a month was 1320.
Learn more about Ratios:
https://brainly.com/question/1504221