Answer:
Total Cost = 14c + 10p
Step-by-step explanation:
Answer:
14c+10p= the total cost
Given tan A = − 12/35 and that angle A is in Quadrant IV, find the exact value of sinA in simplest radical form using a rational denominator.
Answer:
Sin A= − 12/37
Step-by-step explanation:
tan A = − 12/35
Reason for minus sign is because of it's in the fourth quadrant.
12 = opposite
35 = adjacent
? = Hypotenuse
12² + 35² = hypotenuse ²
1369 = hypotenuse ²
hypotenuse = √1369
hypotenuse= 37
Sin = -12/37
Reason for minus sign is because of it's in the fourth quadrant.
Two solutions of salt water contain 0.04% and 0.2% salt respectively. A lab technician wants to make 1 liter of solution which contains 0.12% salt. How much of each solution should she use?
x = amount (in L) of 0.04% solution
y = amount (in L) of 0.2% solution
x + y = 1
Each liter of p% salt solution contributes 0.01*p L of salt to the mixture. In the new solution, the lab tech wants to end up with a concentration of 0.12%, which comes out to 0.0012 * (1 L) = 0.0012 L of salt:
0.0004x + 0.002y = 0.0012
Solve for y in the first equation:
y = 1 - x
Substitute this into the other equation and solve for x, then y:
0.0004x + 0.002(1 - x) = 0.0012
0.0008 = 0.0016x
x = 0.5 L
y = 1 - 0.5 = 0.5 L
Which is the same as moving the decimal point 3 places to the right in a decimal number
Answer:
Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.
if a rectangular prism has a volume of 550 cm squared and its dimensions are all tripled, then what would be the new volume?
Answer:
The new volume would be 14,850cm³.
Step-by-step explanation:
The volume of a rectangular prism is:
[tex]V = l*w*h[/tex]
In which l is the length, w is the width and h is the height.
Dimensions tripled.
So [tex]l = 3l, w = 3w, h = 3h[/tex]
The modified volume will be:
[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]
Volume of 550 cm³ before the dimensions are tripled.
This means that [tex]V = 550[/tex]
New volume:
[tex]V_{m} = 27*550 = 14850[/tex]
The new volume would be 14,850cm³.
Ramesh examined the pattern in the table. Powers of 7 Value 7 Superscript 4 2,401 7 Superscript 3 343 7 Superscript 2 49 7 Superscript 1 7 7 Superscript 0 1 7 Superscript negative 1 StartFraction 1 Over 7 EndFraction Ramesh says that based on the pattern 7 Superscript negative 5 = negative 16,807. Which statement explains whether Ramesh is correct? Ramesh is correct because 7 Superscript negative 5 is equivalent to Negative 7 times (negative 7) times (negative 7) times (negative 7) times (negative 7), which has the same value as Negative 16,807. Ramesh is correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = negative 16,807. Ramesh is not correct because 7 Superscript negative 5 is equivalent to StartFraction 1 Over 7 Superscript 5 EndFraction, which has the same value as StartFraction 1 Over 7 Superscript 4 EndFraction divided by 7 = StartFraction 1 Over 7 cubed EndFraction = StartFraction 1 Over 343 EndFraction. Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7 Superscript negative 5 = 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 = StartFraction 1 Over 16,807 EndFraction. NEED HELP NOW PLEASE I HAVE ONLY SEEN WRONG ANSWERS
Answer:
D
Step-by-step explanation:
Answer:
D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.
Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!
Answer:
exponential decay...................
Answer:
exponential decay
Step-by-step explanation:
If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b
We start with 100 items
100, 50 ,25, 12.5
this is not linear so it must be exponential decay
(-2h+9)(9h-2) in standard form
Answer: -18h^2 + 85h - 18
Step-by-step explanation:
(-2h+9)(9h-2)
Open brackets
(-2h x 9h) + (-2h x -2) + (9 x 9h) + (9 x -2)
-18h^2 + 4h + 81h - 18
Add like terms 4h + 81h
-18h^2 + 85h - 18
How would you write "4/1000" In decimal form?
Answer:
0.004
Step-by-step explanation:
Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004
Answer:
0.004
Step-by-step explanation:
[tex]\frac{4}{1000}[/tex] is basically [tex]4 \cdot 10^{-4[/tex] (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us
[tex]4.0\\0.4\\0.04\\\boxed{0.004}[/tex]
More depth:
[tex]10^{-4[/tex] also equals 0.001, so [tex]4 \cdot 0.001 = \boxed{0.004.}[/tex]
*You may do division and find the answer too. However, these ways are quicker.
You might need:
Calculator
Skill Sum
Aliaa and Zhang Li are tennis-playing robots capable of placing shots with superhuman precision
thagore
Aliaa is about to hit its next shot to the far corner of the court. It (Aliaa) knows that the distance between
itself and Zhang Li is 520 cm, and it knows that the angle between Zhang Li and the far corner is 53°
Similarly, Zhang Li knows that the angle between Aliaa and the far corner is 100°.
ythagore
What distance should Aliaa hit the ball so that it lands perfectly in the far corner of the court?
Do not round during your calculations. Round your final answer to the nearest centimeter.
pecialrig
cm
100% 150
Aliaa
TV53°
520 cm
Introductie
100
Zhang Li
Show Calculator
Do 5 problems OOOOO
Answer:
1128cm
Step-by-step explanation:
The diagram of the problem is annotated and attached.
In the diagram, we are required to find the distance between Aliaa and the far corner, b.
In Triangle ABC
[tex]\angle A+\angle B+\angle C=180^\circ\\53^\circ+100^\circ+\angle C=180^\circ\\\angle C=180^\circ-153^\circ\\\angle C=27^\circ[/tex]
Using Law of Sines
[tex]\dfrac{b}{sin B} =\dfrac{c}{sin C} \\\dfrac{b}{sin 100} =\dfrac{520}{sin 27}\\b=(520 X sin 100)\div sin 27\\b=1127.997\\b\approx 1128$ cm (to the nearest centimeter.)[/tex]
Therefore, Aliaa should hit the ball a distance of 1128cm so that it lands perfectly in the far corner of the court.
Mr.Lipps flips a coin 20 times how many times can he expect heads
Answer:
Mr. Lipps would expect it to land on heads 10 times
Step-by-step explanation:
hope this helps :)
Difference between-9°C and -21°C
Answer:
12
Step-by-step explanation:
21-9=12 hope this helps :)
What times what gives you 1,000,000
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The table displays the starting positions for the winners of 240 competitions. Calculate the chi-square test statistic X2 used to test the claim that the probability of winning is the same regardless of starting position.
Starting Position 1 2 3 4 5 6
Number of Wins 33 44 32 36 45 50
a.12.592
b.15.541
c.9.326
d.6.750
Answer:
d) 6.750
The chi - square value = 6.750
Step-by-step explanation:
Given data
Starting Position 1 2 3 4 5 6
Number of Wins (O) 33 44 32 36 45 50
Step(i) :-
mean = [tex]\frac{33+44+32+36+45+50}{6} = \frac{240}{6} =40[/tex]
Expected frequency = 40
Number of Wins (O) : 33 44 32 36 45 50
Expected frequency(E) : 40 40 40 40 40 40
(O - E ) : -7 4 -8 -4 5 10
(O-E)² : 49 16 64 16 25 100
[tex]\frac{(O-E)^2}{E}[/tex] : 1.225 0.4 1.6 0.4 0.625 2.5
Step(ii):-
The χ² test
χ² = ∑ [tex]\frac{(O-E)^2}{E}[/tex]
χ² = 1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75
The chi - square value = 6.750
Final answer:-
The chi - square value = 6.750
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
The cost of 900 shares of stock selling for 57 5/8 is
Answer:
$51,862.50
Step-by-step explanation:
... the product of the number of shares and the price:
(900)($57 5/8) = $51,862.50
Answer:
51 862.5
Step-by-step explanation:
If the share cost 57 5/8 per share
It means 900 share would cost
900 * 57 5/8
900 * 461/8 = 51 862.5
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food rewards were equal in appeal. Thus, a pilot study was designed in which participants were asked which of the rewards they preferred. The observed frequencies are as follows:
Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots.
1. The appropriate statistical test for this problem is (be specific): ________.
2. What are the expected frequencies for this question?
3. What is the cutoff on the comparison distribution (step 3)?
4. What is the correct calculation for chi-square (step 4)?
Answer:
Step-by-step explanation:
Hello!
A pilot study was conducted to test if three food rewards are equally appealing to the participants.
Of 60 participants surveyed:
16 preferred cupcakes (CC)
26 preferred candy bars (CB)
18 preferred dried apricots (DA)
If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3
1.
The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.
For this example the statistical hypotheses are:
H₀: P(CC)=P(CB)=P(DA)= 1/3
H₁: At least one of the proportions isn't equal to the others.
2.
To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.
[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]
[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]
[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]
3.
The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:
Assuming α: 0.05
[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]
The rejection region is then X²₂ ≥ 7.378
4.
[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]
I hope this helps!
A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for $2 and each large beverage sells for $5. Small beverages require 4 lemons and 6 tablespoons of sugar each. Large beverages require 5 lemons and 10 tablespoons of sugar each. She has 100 lemons and 180 tablespoons of sugar. How many of each beverage should she sell to maximize her earnings?
Answer:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
Step-by-step explanation:
Analyzing the given situation, we can form two algebraic equations.
Since, she has 100 lemons and 4 lemons are required for small beverage, while 5 lemons are required for large beverage. So, we can form the equation:
4x + 5y = 100 --------- eqn (1)
where,
x = No. of small beverages sold
y = No. of large beverages sold
Similarly, she has 180 table spoons of sugar and 6 table spoons are required for small beverage, while 10 table spoons are required for large beverage. So, we can form the equation:
6x + 10y = 180 -------- eqn (2)
From eqn (1):
x = (100 - 5y)/4 ------- eqn (3)
Substituting this value of x in eqn (2)
(6)(100 - 5y)/4 + 10y = 180
10 y - 7.5 y= 180 - 150
2.5 y = 30
y = 30/2.5
y = 12
Using this value of y in eqn (3)
x = [100 - (5)(12)]/4
x = 10
Therefore, in order to maximize the earnings the kid should sell following number of each beverage:
No. of Small Beverage = x = 10
No. of Large Beverage = y = 12
On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J?
x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1
y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1
(40, 96)
(85, 105)
(80, 104)
(96, 72)
Answer:
the answer is (40,96)
Step-by-step explanation:
Point P on the directed line segment from K to J has x and y coordinates that are three-fifths of the length of the line segment from K to J
(85, 105).
What are coordinates?The coordinates point to any point can be found by using the following formula.
X = [m/(m + n)](x₂ - x₁) + x₁
Y = [m/(m + n)](y₂ - y₁) + y₁
Given, On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).
The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;
X = [m/(m + n)](x₂ - x₁) + x₁
X = [3/(3 + 5)](- 40 - 160) + 160.
X = - 75 + 160.
X = 85.
Y = [m/(m + n)](y₂ - y₁) + y₁
Y = [3/(3 + 5)](80 - 120) + 120.
Y = - 15 + 120.
Y = 105
As a result, point P's x and y coordinates are such that P is three-fifths the length of the directed line segment from K to J (85, 105).
learn more about co-ordinates here :
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HELPPP PLEASEEEEE!!!!!!!!!
Answer:20
Step-by-step explanation:
Since it is a right angled triangle we can use Pythagoras principle to get the missing length
Let the missing length be h
h=√(16^2+12^2)
h=√(16x16+12x12)
h=√(256+144)
h=√(400)
h=20
If you flip a coin ten times, how many different sequences of heads and tails are possible? a. 2 Superscript 9 Baseline = 512 b. 10 squared = 100 c. 10 squared = 1024 d. 2 Superscript 10 Baseline = 1024
Answer:
1024
Step-by-step explanation:
I don't know what this superscript is but the answer is above.
Answer:OPTION D: 2^10 = 1024
Step-by-step explanation: I just took the quiz on edge.hope this helps :)
The sum of 5 consecutive integers is 70 what are the numbers
Answer:
12, 13, 14, 15, 16
Step-by-step explanation:
Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)
According to the given condition:
[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]
Which best describes the solution set for the inequality below?
3x + 7 ≤ 4x – 8 or –2x + 3 ≥ 1
Answer: The answer is A.
Step-by-step explanation:
x < 1 or x > 15
The solution set of the inequalities are,
1) x ∈ [15, ∞)
2) x ∈ (- ∞, 1]
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequalities are,
1) 3x + 7 ≤ 4x - 8
2) - 2x + 3 ≥ 1
Now, Simplify the inequality as;
1) 3x + 7 ≤ 4x - 8
⇒ 3x + 7 ≤ 4x - 8
⇒ 7 + 8 ≤ 4x - 3x
⇒ 15 ≤ x
⇒ x ∈ [15, ∞)
2) - 2x + 3 ≥ 1
⇒ - 2x + 3 ≥ 1
⇒ 3 - 1 ≥ 2x
⇒ 2 ≥ 2x
⇒ 1 ≥ x
⇒ x ∈ (- ∞, 1]
Learn more about the inequality visit:
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Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
The article “Heavy Drinking and Polydrug Use Among
College Students” (J. of Drug Issues, 2008: 445–466) stated
that 51 of the 462 college students in a sample had a lifetime
abstinence from alcohol. Does this provide strong evidence
for concluding that more than 10% of the population sam-
pled had completely abstained from alcohol use? Test the
appropriate hypotheses using the P-value method. [Note:
The article used more advanced statistical methods to study
the use of various drugs among students characterized as
light, moderate, and heavy drinkers.]
Answer:
Yes it does provide strong evidence
Step-by-step explanation:
A bakery sells cakes for $23 and a dozen cupcakes for
$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72
Answer:
23x + 18y = 1446
x + y = 72
Step-by-step explanation:
The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).
Thus, 23x +18y = $1446.
The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).
Thus, x + y = 72.
Which number line correctly shows 0.8 + 0.3?
Answer:
the second answer
Step-by-step explanation:
cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1
Answer:
A
Step-by-step explanation:
Please help worth 20 points!!
Answer:I would think u would
Step-by-step explanation:42,500×26
Answer:
1634.62$
Step-by-step explanation:
P=S/n
P=42500/26=1634.62
What’s the volume of the solid ?
Answer:
I think its 70in hope it helps
Step-by-step explanation:
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria Sharapova to win the 2012 Australian Open women’s title. During the tournament Ms. Azarenka serve speed reached kilometers per hour. A list of the Women’s Singles serve speed for the 2012 Australian Open is provided below. Player Serve Speed (km/h) S. Williams 192 S. Lisicki 192 M. Keys 191 L. Hradecka 188 J. Gajdosova 187 J. Hampton 187 B. Mattek-Sands 185 F. Schiavone 185 P. Ormaechea 185 P. Parmentier 185 N. Petrova 183 G. Arn 183 V. Azarenka 182 A. Ivanovic 182 P. Kvitova 179 M. Krajicek 179 V. Dushevina 178 S. Stosur 176 S. Cirstea 176 M. Barthel 175
a. Compute the mean, variance, and standard deviation for the serve speeds.
b. A similar sample of the 20 Women’s Singles serve speed leaders for the 2011 Wimbledon tournament showed a sample mean serve speed of 182.5 kilometers per hour. The variance and standard deviation were 33.3 and 5.77, respectively. Discuss any difference between the serve speeds in the Australian Open and the Wimbledon women’s tournaments.
Answer:
asnwer is B
Step-by-step explanation:
mark BRAINLIEST
