Answer:
1 tsp of oil = 4 g
Step-by-step explanation:
1 Tbsp of syrup = 5 tsp of oil
2 tsp of oil = 1 Tbsp of syrup - 12 g
2 tsp of oil = 5 tsp of oil - 12 g
-3 tsp of oil = -12 g
1 tsp of oil = 4 g
You need 120 pieces of chalk for art day. your teacher gar 6 boxes of chalk. Each box he's 18 pieces of chalk. Is that enough chalk for art day if there is 24 students
Answer:
No
Step-by-step explanation:
6 time 180 is only 108
108<120
There is not enough chalk.
Which point is located at (–0.50, –1.25)?
Point
Answer:
Hopefully, this helps you!!
:3
Here's a graph!
Have a great day!!
[tex]Sokkachan[/tex]
Answer:
Point W
Step-by-step explanation:
Which is greater -8.5 or -15
Answer:
-8.5
Step-by-step explanation:
this is because the more negative a number is, the less value it is, hence -8.5 is greater than -15.
What is the value of x?
-5x = 60
Answer:
x = -12
Step-by-step explanation:
⇒ -5x = 60
Isolate the variable "x" by dividing by -5 on each side.
⇒ -5x/-5 = 60/-5
⇒ x = -12
The solution is x = -12
[tex]\boxed{ \sf \bold{x = -12}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf -5x = 60[/tex]
divide both sides by -5
[tex]\dashrightarrow \ \ \sf \dfrac{-5x}{-5} = \dfrac{60}{-5}[/tex]
simplify
[tex]\dashrightarrow \ \ \sf x = -12[/tex]
HELP PLEASE!!!
Worth 1 point
Giving 30!!
PLS HELP
I'LL GIVE BRAINLEIST IF CORRECT!!
Answer:
^EKF and^HKI
Step-by-step explanation:
Because they are vertically opposite anglesThere was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat
Answer:
1/3
Step-by-step explanation:
This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.
write equivalent expressions 3(x-6)
Answer:
3(x-6)=3x-18
Step-by-step explanation:
Solve the following expression when
p = 15
P + 4
_
3
Answer:
49/3 or 16.33...
Step-by-step explanation:
15 + 4/3.
15/1 + 4/3
45/3 + 4/3.
ANSWER: 49/3
Assuming that Dave’s marginal tax bracket is 25%, but how much did his federal taxes declined this year if he contribute 7000 to his retirement account?
The marginal tax bracket of Dave shows that the amount of the federal tax is $28000.
How to compute the tax?Let the federal tax be represented by x.
From the information, Dave’s marginal tax bracket is 25%, and he contributed 7000.
Based on the information, the amount will be:
25% of x = 7000
0.25 × x = 7000
0.25x = 7000
x = 7000/0.25
x = $28000
In conclusion, the amount is $28000.
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[tex]Find } \sum r^{2} \cdot{ }^{20} C_{r}\end{equation}[/tex]
Options:
(a) [tex]$2^{20}$[/tex]
(b) [tex]$2^{21}$[/tex]
(c) [tex]$210 \times 2^{19}$[/tex]
I bet the sum you're referring to is supposed to be
[tex]\displaystyle \sum_{r=0}^{20} r^2 \times {}^{20}C_r[/tex]
or equivalently,
[tex]\displaystyle \sum_{r=0}^{20} r^2 \binom{20}r[/tex]
where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.
Recall the binomial series,
[tex](1+x)^\alpha = \displaystyle \sum_{r=0}^\infty \binom\alpha r x^r[/tex]
which is valid for |x| < 1. (Note that if r > α, the binomial coefficient is defined to be zero, so there really are only α many terms when α is a whole number.)
Differentiating both sides with respect to x gives
[tex]\alpha (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^{r-1}[/tex]
Multiply both sides by some arbitrary x in |x| < 1 :
[tex]\alpha x (1+x)^{\alpha-1} = \displaystyle \sum_{r=0}^\infty r \binom\alpha r x^r[/tex]
Repeat:
[tex]\alpha (1+x)^{\alpha-1} + \alpha(\alpha-1) x(1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^{r-1}[/tex]
[tex]\alpha x (1+x)^{\alpha-1} + \alpha(\alpha-1) x^2 (1+x)^{\alpha-2} = \displaystyle \sum_{r=0}^\infty r^2 \binom\alpha r x^r[/tex]
Let α = 20, and let x approach 1 from below. The right side converges to the sum we want, while the left side converges to
[tex]20 \times 2^{19} + 20\times19\times 2^{18} = (20 + 10\times19)\times2^{19} = \boxed{210\times2^{19}}[/tex]
Use the formula to evaluate the series . Round your answer to the nearest hundredth.
We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;
[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]
[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]
[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]
[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]
[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]
A random sample of 1400 home owners in a particular city found 644 home owners who had a swimming pool in their backyard. Find a 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
700,000
90,000
6,000
100
40
2
Answer:
9
Step-by-step explanation:
796,142
100000 10000 1000 100 10 1
Approximately how many
years would it take for an
investment of $1,000 to grow
to $1,500 with a simple
interest rate of 8%?
Answer:
6.25 years
(6 years 3 months)
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $1,500P = $1,000r = 8% = 0.08Substitute given values into the formula and solve for t:
⇒ 1500 = 1000(1 + 0.08t)
⇒ 1500 = 1000 + 80t
⇒ 500 = 80t
⇒ t = 6.25 years
Find fRound the answer to the nearest tenth.
A. 54.5°
B. 57.2°
C. 90.0°
D. 109.2°
Answer:
109.2 degrees
Step-by-step explanation:
Use the cos law to find angle F
3.1^2 = 2^2 + 1.8^2 - 2 (2)(1.8) cos F
shows cos f = -.329
arc cos( - .329) = angle F =109.2 degrees
T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?
Answer:
Jason can afford 5 more additional lines, making 9 lines total because
175-120=55
55/10=5.5 so He can not afford more than 5 more additional lines.
Step-by-step explanation:
Find b given to that a= 20 angle a= 30 degrees and angle b = 45 degrees in triangle abc
Answer:
Step-by-step explanation:
a tree diagram represents an experiment consisting of two trails.
P(A and D) = [?]
Answer:
0.3
Step-by-step explanation:
Start at the beginning, follow the branch to A and then the branch to D (see attached annotated diagram).
When calculating the probability of an event AND another event, multiply the probabilities.
P(A and D) = 0.5 x 0.6 = 0.3
Use compatible numbers to estimate the quotient of 3,780 divided by 90. What will compatible numbers did you use? Will your estimate be an underestimate or overestimate? Explain why.
Answer:
3780/90
what number close to 37 is divisible by 9 ? 36 !!
3600/90=40 or 3690/90=41
3780/90=42
this an underestimate because the compatible numbers 3600 and 3690 are less than 3780
yall be safe
Our estimate is 38. This estimate is an overestimate because we rounded up both numbers, so we expect the actual quotient to be slightly smaller than our estimate.
What is compatible number?Compatible numbers are numbers that are simple to mentally work with and can be used to estimate or simplify a more complex calculation.
When performing addition, subtraction, multiplication, or division, for example, it is often helpful to choose numbers that are easy to manipulate in your head or by hand, such as multiples of 10, 100, or 1000.
To estimate the quotient of 3,780 divided by 90 using compatible numbers, we can round 3,780 to 3,800 (which is divisible by 100) and round 90 to 100. Then, we have:
3,800 ÷ 100 = 38
Thus, the estimate is 38. This estimate is an overestimation because we rounded both numbers, so we anticipate that the actual quotient will be slightly lower than our estimate.
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9. You roll a standard number cube (with 6 sides) 8 times. The results are 5, 1, 2, 4, 6, 3, 5, 5
a. What is the experimental probability of rolling a 5 on a standard number cube?
b. For 40 rolls of the number cube, predict the number of rolls that will result in a 5 based on your experiment.
Answer:
a) we have 5 there 3 times so answer is 3/8
b)
for 8 times rolling 3 times 5 we have
for 40 times rolling will 15 times 5
Step-by-step explanation:
a) we have 5 there 3 times so answer is 3/8
b)
for 8 times rolling 3 times 5 we have
for 40 times rolling will 15 times 5
Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11
Answer:
1, 5
Step-by-step explanation:
I may be a little wrong but;
Multiply it by 3 and 4-
-12x+9y=-51
12x-16y=44
-7y=-7
y=1
x=5
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
For questions 4 – 6, name all of the radii of the circle shown in the figure.
For questions 7 – 10, find the measure of the radius of the circle. 7. 8.
Answer:
center(-2,5) r=6
Can someone help me with these please
Answer:
1a. 210 m^2 1b. 14 ft^2 1c. 199.5 in^2
2a. 270 cm^2 2b. 162 m^2 2c. 272 cm^2
3a. 348 ft^2 3b. 230 in^2 3c. 312.5
Step-by-step explanation:
The area of a triangle can be calculated with one equation...
A = 1/2bh
b stands for base, h stands for height
1a. A = 1/2(21)(20)
One half divides 20 easily..
A = 21(10)
A = 210
1b. A = 1/2(7)(4)
One half divides 4 easily..
A = 2(7)
A = 14
1c. A = 1/2(19)(21)
A = 1/2(399)
A = 199.5
2a. A = 1/2(36)(15)
One half divides 36 easily..
A = 18(15)
A = 270
2b. A = 1/2(18)(18)
One half divides 9 easily..
A = 9(18)
A = 162
2c. A = 1/2(32)(17)
One half divides 32 easily..
A = 16(17)
A = 272
3a. A = 1/2(29)(24)
One half divides 24 easily..
A = 12(29)
A = 348
3b. A = 1/2(23)(20)
One half divides 20 easily..
A = 10(23)
A = 230
3c. A = 1/2(25)(25)
A = 1/2(625)
A = 312.5
Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]
b --> length of base of triangleh --> length of height of triangleQuestion 1:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]
Question 2:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]
Question 3:
a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]
b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]
c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]
Finding Area of Parallelogram --> b * h
b: length of base of parallelogramh: length of height of parallelogramQuestion 1
a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]
b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]
c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]
Question 2
a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]
b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]
c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]
Question 3:
a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]
b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]
c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]
Hope that helps!
The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6 3/5% sales tax on their purchases. If the Changs paid $351.72 total, determine if they paid the correct amount.
Answer:
Step-by-step explanation:
In order to determine the correct answer, we need to confirm it first by making the solution below:Costs: $89.95 = New Lamp $239.99 = Comforter 6 3/5% = Sales Tax (convert this to decimal and we get 6.6%) $351.72 = Total amount the Chang's paidLet's get the total costs first which is $329.946.6% of 329.94 is $21.78The total cost with the tax would be $351.72.Therefore, the Chang's paid the correct amount. The correct answer would be option D. The Chang's family paid the correct amount for their purchases.
a cart is pushed 40 meters against 45 newtons of friction = how much work done
Answer:
-1.8 kJ
Step-by-step explanation:
Given
Displacement = 40 metersForce against = 45 NSolving
W = F x SW = - 45 x 40W = -1800 J = -1.8 kJAnswer:
2250 J
Step-by-step explanation:
Work done is given by the formula :
work done = force × distance
Substituting values given gives us:
Work done = 45 × 40
Work done = 2250 J
(I.5)
Write the sentence as an equation.
148 is equal to 12 minus z
Type a slash ( / ) if you want to use a division sign.
Answer:
the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.
Step-by-step explanation:
Someone help. I do not understand.
Step-by-step explanation:
SinP = sin30° = 1/2
sinQ = sin60° = root3/2
cosR = cos90° = 0
cosQ = cos60° = 1/2
sinR = sin90° = 1
The average weight of an adult black bear is 4.35 x102 pounds.
This is 15 times as much as Shaneen's dog weighs.
What is the weight of Shaneen's dog?
Answer: B (2.9 x 10)
Step-by-step explanation: (4.35 x 10^2)/15 = 29 = 2.9 x 10
0.6 × 0.8 = ___ I need help with this question KNOW!!!!!!
ANSWER = 0.48
HOPE IT HELPS :)
Answer: 0.48
Step-by-step explanation:
6 x 8 = 48
we add those decimals back in which would be 0.48
Need Help Confused give explanation please and thanks
