Help plz will give brainliest!
Answer:
ExponentialStep-by-step explanation:
A group of 4444 friends is playing cards. The deck has 70707070 cards. To start the game, the dealer makes a pile of 15151515 cards in the center. Then she deals the remaining cards one at a time to each player until all the cards are gone.
What is the greatest number of cards any player will have after all the cards are dealt?
cards
Answer:
12502 cards
Step-by-step explanation:
Given:
» total of 70707070 cards of the deck
» 15151515 cards were taken and put in a pile
Solve:
1. So, you can subtract 15151515 from 70707070 to find how many cards are left:
70707070 - 15151515 = 55555555
2. Now, there are 55555555 cards remaining in the deck since 15151515 cards were taken to put in a pile. Since the dealer deals the remaining cards to 4444 people, you can just do 55555555 divided by 4444 to find how many cards each person gets:
55555555 ÷ 4444 = 12501.25
3. 12501.25 is the exact number of cards each person gets, but you can’t have a fraction/part of a card. You have to find a specific remaining number:
0.25 is the same as \(\frac{1}{4}\), and so convert \(\frac{1}{4}\) into a fraction with a denominator of 4444, but is still equivalent to \(\frac{1}{4}\): You’ll get \(\frac{1111}{4444}\), which is correct because it’s still equivalent to \(\frac{1}{4}\)
4. So, the remaining 55555555 cards divided by 4444 people is 12501 cards and a remainder of 1111 cards. The 1111 cards can be distributed upon the players, but not everyone can get it. Since 12501 were to given to the players and after the remaining 1111 were also distributed, this means that some will have 12501 cards and others will have 12502 cards.
Answer: So, the greatest number of cards any player will have after all the cards are dealt is 12502 cards.
Miriam charges $5 per trip for deliveries plus $0.50 per mile, If x= the number of miles
Miriam drives for a trip and y = the total cost for a trip, which of these ordered pairs is a
solution to the equation that describes this situation? (1 Point)
(10, 10)
(2,7)
(12, 12)
(5, 6.5)
Answer:
(10,10)
Step-by-step explanation:
y = .5x + 5
If you put in 10 for x, we get 10 for y.
y = .5(10) + 5
y =5 + 5
y = 10
When x is 10, y is 10 (10,10)
An object moving with a speed of 21 m/s and has a kinetic energy of 140 J, what is the mass of the object?
Answer:
0.63 kg
Step-by-step explanation:
KE = 1/2mv²
solve for m:
m = 2(KE)/v²
m = 2(140J) / (21m/s)²
m = 280J / 441 = 0.63 kg
4x+5(7x-3)=9(x-5)
x????
Answer:
x=-1
Step-by-step explanation:
4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1
Answer:
\( \sf \: x = - 1\)
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30 ÷ 30
→ [ x = -1 ]
Hence, the value of x is -1.
I don't know how to go about solving this, can you help?
Given the complex number : -64 i
To find the cube roots, we will use the formula:
\(\sqrt[3]{r}(\cos \frac{\theta+2\pi k}{3}+i\sin \frac{\theta+2\pi k}{3})\)k = 0 , 1 , 2
So,
\(r=-64i=64\angle270\)So,
\(\sqrt[3]{64}=4\)and the angles will be :
\(\begin{gathered} \frac{\theta+2\pi k}{3}=\frac{\theta+360k}{3} \\ k=0,\frac{\theta+360\cdot0}{3}=\frac{270}{3}=90 \\ \\ k=1,\frac{\theta+360\cdot1}{3}=\frac{270+360}{3}=210 \\ \\ k=2,\frac{\theta+360\cdot2}{3}=\frac{270+720}{3}=330 \end{gathered}\)so, the cube roots of the -64i are:
\(\begin{gathered} 4(\cos 90+i\sin 90) \\ 4(\cos 210+i\sin 210) \\ 4(\cos 330+i\sin 330) \end{gathered}\)So, the answer is option C
Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)I will send a picture of the problem and or question
The equivalency for grams to centigrams is:
1 gram = 100centigrams
To convert the units you can apply cross multiplication:
1gr_____100cgr
443gr____xcgr
\(\begin{gathered} \frac{100}{1}=\frac{x}{443} \\ x=443\cdot100=44300 \end{gathered}\)This means that 443 grams equals to 44300 centigrams
*-*-*-*
The scale is done in a base of 10 and the grams are in its center with value 1.
To convert from smaller units to grater units you have to divide the given measurement by 10
And to convert from greater units to smaller units you have to multiply by 10.
For example if you have 1mg and want to convert it to grams you have to divide the value 3 times by 10, i.e. divide the value by 1000
\(\frac{1mg}{1000}=0.001g\)If you want to convert 1 Kg into 1 decagram, multiply the value two times by 10, i.e. multiply it by 100
\(1\operatorname{kg}\cdot100=100\text{dag}\)
Pls help I will give points
Answer:
60
Step-by-step explanation:
Find the probability of tossing 3 tails, then 4 heads, on the first 7 tosses of a fair coin
Answer:
zxczxcz
Step-by-step explanation:
Solve x² + 9x + 9 = 0
What is the answer and how did you work it out?
Answer:
A) \(x=\frac{-9\pm3\sqrt{5}}{2}\)
Step-by-step explanation:
\(ax^2+bx+c=0\)
\(x^2+9x+9=0\)
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
\(x=\frac{-9\pm\sqrt{9^2-4(1)(9)}}{2(1)}\)
\(x=\frac{-9\pm\sqrt{81-36}}{2}\)
\(x=\frac{-9\pm\sqrt{45}}{2}\)
\(x=\frac{-9\pm3\sqrt{5}}{2}\)
Using the rules of inference show that s is a conclusion
1. p → q
2. q → r
3. (q → r) → s
4. p
how to solve?
"s" can be concluded from the premises
How to show that s is the conclusionTo use the rules of inference to show that "s" is a conclusion, we can use modus ponens,
This is a rule that allows us to infer a conclusion from a premise and its conditional statement.
Using modus ponens, we can infer "q" from "p → q" and "p".Next, using modus ponens, we can infer "r" from "q → r" and "q".Finally, using modus ponens, we can infer "s" from "(q → r) → s" and "q → r".Thus, "s" can be concluded from the premises "p → q", "q → r", "(q → r) → s", and "p".
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1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
centimeters. If the base measures 30 centimeters, find the height and the
measure of the two equal angles. Round your answer to the nearest tenth.
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
\( L^{2} = H^{2} + B^{2} \)
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
\( H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm \)
2. The two equal angles (θ) can be found using the following trigonometric identity:
\( cos(\theta) = \frac{B}{L} \)
\( \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} \)
Hence, the two equal angles are 44°.
I hope it helps you!
NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)
The diagram below shows a proportional relationship between the number of cans of soup and the price.
Explain what this value means in terms of the soup.
a data collected by a final year statistics students shows that , of the 120 cars which took the road worthiness test at DVLA office in kumasi in june 2023, only 60% passed .Among those who failed due to faults in brakes, light and steering occured as follows : brake only 14, brakes and steering 7, brake and light 10, steering and light only 3, brakes , steering and light 4. Both the number of cars that failed due to fault in steering only is the same as those that failed due to faults in light only. i. how many cars had faulty light ii. find the number of cars which had only one fault iii. find the number of cars which had at least two fault iv. find the number of cars which had fault in brake or light but not steering
i. 13 cars had faulty light. ii. 13 cars had only one fault. iii. 27 + x cars had at least two faults.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
i. To find the number of cars that had faulty light, we first need to find the total number of cars that failed the test. This can be calculated as:
Number of cars that failed = Total number of cars tested × (1 - Percentage passed)
Number of cars that failed = 120 × (1 - 0.60)
Number of cars that failed = 48
Now, we can use the information provided in the question to find the number of cars that had faulty light. According to the question, 10 cars failed due to brake and light faults, 3 cars failed due to steering and light faults, and the number of cars that failed due to light faults only is the same as the number of cars that failed due to steering faults only. Therefore, we can set up the following equation:
10 + 3 + x = number of cars that failed due to light faults
where x is the number of cars that failed due to steering faults only.
Since the number of cars that failed due to light faults only is equal to the number of cars that failed due to steering faults only, we can solve for x as follows:
10 + 3 + x = x
13 = x
Therefore, 13 cars had faulty light.
ii. To find the number of cars which had only one fault, we need to add up the number of cars that failed due to each individual fault (i.e. brake, steering, and light) and subtract the number of cars that failed due to multiple faults (i.e. brake and steering, brake and light, steering and light, and brake, steering, and light). This can be calculated as follows:
Number of cars with only one fault = (Number of cars that failed due to brake only) + (Number of cars that failed due to steering only) + (Number of cars that failed due to light only) - (Number of cars that failed due to multiple faults)
Number of cars with only one fault = 14 + 13 + x - (7 + 10 + 3 + 4)
Number of cars with only one fault = 13
Therefore, 13 cars had only one fault.
iii. To find the number of cars which had at least two faults, we can use the same equation as in part ii, but we don't subtract the number of cars that failed due to multiple faults. This can be calculated as follows:
Number of cars with at least two faults = (Number of cars that failed due to brake only) + (Number of cars that failed due to steering only) + (Number of cars that failed due to light only)
Number of cars with at least two faults = 14 + 13 + x
Number of cars with at least two faults = 27 + x
Therefore, 27 + x cars had at least two faults.
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The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5
120
60
20
180
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
Question 2/2
Question 1 Part B (01.02, 01.03 MC): A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of
her goal.
What does the variable in the equation represent? (2 points)
4 of 19
Back
A. Amount the owner needs to sell
B. Price per item
C. Number of items sold
D. Total sales for the month
1 answer(s) selected
Open notes navigator A
A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is
C. Number of items soldWhat is variable in math?A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.
Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting
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5.5b≤10.89 solve for b
\(5.5b\leq 10.89\)
Divide both sides by 5.5:
\(\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}\)
Answer:
\(b\leq 1.98\)
Answer:
b ≤ 1.98
Step-by-step explanation:
Given equation,
→ 5.5b ≤ 10.89
Now the value of b will be,
→ 5.5b ≤ 10.89
→ b ≤ 10.89 ÷ 5.5
→ [ b ≤ 1.98 ]
Hence, value of b is 1.98.
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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use differentials to approximate the value of sqrt(99.4). what is the percent error oin this calculation
The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.
For percentage error Here first we have to find the value of sqrt(99.4) by normal calculation and second we will calculate it by differential method then we will find the percentage error .
To approximate sqrt(99.4) we will use formula for linear approximation as given below
f(x) = f(c) + f′(c)(x−c)
and we are dealing with square root so we have to find the f(x) ad here
f(x) = √x
and we will calculate f'(x) and here it is
f'(x) = 1/(2√x)
Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so
f(c) = f(100) = √100 = 10
f'(c) = f'(100) =1/(2√100) = 1/20
f(x) =f(c) + f′(c)(x−c)
f(x) = f(99.4)=f(100)+f'(100)(99.4-100)
=10+1/20*(-0.6)
=9.97
Here we find the value by differential = 9.97
and by simple calculation the value is = 9.96995486
ans percentage error = (real value - differential value)/100
= (9.96995486-9.97)/100 = 0.00045 percentage
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A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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In a random survey of students concerning student activities, 30 engineering majors, 23 business majors, 20 science majors, and 16 liberal arts majors were selected. (Enter your probabilities as fractions.)(a) If two students are selected at random, what is the probability of getting two science majors?(b) If two students are selected at random, what is the probability of getting a science major and an engineering major?
Part a: The probability for the appearance of two science majors:85/1985.
Part b: The probability for the appearance of science major and an engineering major: 75/979.
Explain the meaning of random survey?Each person in the population does have a possibility of being selected for the samples, and whoever is chosen is selected entirely at random, according to the sampling technique known as random sampling.Probability = favourable outcome/total outcome
For the stated question;
The number of students in various stream are-
30 engineering majors, 23 business majors, 20 science majors, and 16 liberal arts majorsPart a: The probability for the appearance of two science majors:
P(science majors) = P(science) × P(science)
P(science majors) = 20/89 × 19/88
P(science majors) = 85/1985
Part b: The probability for the appearance of science major and an engineering major:
P(E and S) = P(science major) × P(engineering major)
P(E and S) = 20/89 × 30/88
P(E and S) = 75/979
Thus, the probability for the appearance of science major and an engineering major is 75/979.
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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FIND EACH ANGLE MEASURE.
FIGURES ARE NOT DRAWN TO SCALE.
Answer: See explanation
Step-by-step explanation:
M1 49
M2 22
M3 27
M4 63
M5 68
M6 22
The Charmer bracelet sells for $8 and the Sparkler sells for $12. Write equations to show the relationship between the number of each kind of bracelet (b) Shawn sells and the money he makes (m).
The equation to show the relationship between the number of each kind of bracelet will. de illustrate this is C = 8b + 12s
How to illustrate the information?It should be noted that Charmer bracelet sells for $8 and the Sparkler sells for $12.
Therefore, the equation to show the relationship between the number of each kind of bracelet will. de illustrate this:
Let the bracelet = b
Let the sparklers = s
Let the cost = c.
The equation will be
C = 8b + 12s
Therefore, the equation to show the cost is C = 8b + 12s
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The Firgure ABCD is transformed to A'B'C'D, as shown:Which of the following sequence of transformations is used to obtain firgure A'B'C'D' from ABCD? A) Counterclockwise rotation by 90 degrees about the origin followed by a translation down by 6 unitsB) Reflection about the y-axis followed by translation up by 6 unitsC) Counterclockwise rotation by 90 degrees about the origin followed by translation up by 6 unitsD) Reflection about the x-axiz followed by translation down by 6 units
Reflection about the y- axis ( red figure)
Then, translate up by 6 units. (look at any point and add 6 on the y axis).
Correct option:
B) Reflection about the y-axis followed by translation up by 6 units
Is x+y is an algebraic expression?
Answer:
It depends on the definition of "algebraic expression", and especially the meaning of "algebraic" you take to use in your context. If you talk from a high-school perspective, then yes, x+y−π is an algebraic expression, because... well, it looks like algebra and has algebraic-looking characters.
Step-by-step explanation:
Can anyone help me with this?
Answer:
\(\frac{7}{2}\)
Step-by-step explanation:
\(2 \frac{5}{8} = \frac{21}{8}\)
Divide \(\frac{21}{8}\) by \(\frac{3}{4}\)
\(\frac{21}{8}\) × \(\frac{4}{3}\) = \(\frac{7}{2}\)