Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)
Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
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how many terms are there in the expression:
4х +7+ бр
Answer:
there are 3
Step-by-step explanation:
4, 7, and 6
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
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How does h(t) change over the interval from t=0 to t 1
Answer:
h(-1)=-3 h(2)=12 average age of change =12-(-3)2
Step-by-step explanation:
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
What is the y-intercept of this line?
Answer:
(0, -3)
Step-by-step explanation:
because at that point is where the line crosses the y axis.
HELP FAST: ( FOR 20 POINTS)
Louis says that the line shown on the scatter plot is a good line of fit for the data because there are two points that lie on the line. Is Louis correct? Explain your reasoning.
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100
Step-by-step explanation:
y = % · x
y = 40% · 250
y = 0.40 · 250
y = 100
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
Please help me with the question
Answer:
4p,q+r
4p(q+r)
4pq+4pr
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°
The value of x in the hexagon is 17.
How to find the angle of a hexagon?A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.
Therefore, x can be found in the hexagon as follows:
we have to sum the whole angles to get x.
110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720
combine like terms
110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x = 720
278 + 26x = 720
subtract 278 from both sides of the equation
278 + 26x = 720
278 - 278 + 26x = 720 - 278
26x = 442
divide both sides by 26
x = 442 / 26
x = 17
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The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?
Answer:
20361.18283
Step-by-step explanation:
p(1+r/100)n
12500(1+5/100)power 10
i hope this answer helps a little bit.
Help me please thanks
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?
Answer:
morning = -13°C
afternoon = 4°C
so,
x = (morning - afternoon)
I hope this helps a little bit.
Find the axis of symmetry. Question in pic. PLEASE HELP
Answer:
axis of symmetry is x = 1; vertex is (1,8)
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
Need the answer asap !
Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.
the diameter of the clock= 30 cm
the radius of the clock= 15 cm
(a) the area of the clock is
[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]
(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.
The circumference of the clock is
[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]
I need help on this question, I don’t get it so if you could help me
I will really much appreciate it.
Answer:
C
Step-by-step explanation:
x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1
2x-7 = -3x +9
5x - 7 = 9
5x = 16
x = 16/5
x= 3⅕
x= 3.2
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
Me das mas información porfavor?
If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.
Answer: 79 and 14
X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.
The school band booster club runs a concession stand for home football games. They sell beverages for $1.50 and candy for $1.25. Their goal is to raise $375 for each game.
Write an equation that is a model for the different numbers of beverages and candy that can be sold to meet the goal.
1.25x + y = 375
x + y = 375
1.50x.- 1.25y = 375
1.50x +1.25y = 375
Answer:
1.50x + 1.25y = 375
Step-by-step explanation:
x = beverages
y = candy
1.50x + 1.25y = 375
The equation that can be used to model the different numbers of beverages and candy that can be sold to meet the goal is 1.50x+1.25y=375.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of beverages sold be x, while the number of candies sold is y.
Given that the selling price of a beverage is $1.50, while the selling price of candy is $1.25. Also, the total amount that is needed to be raised is $375. Therefore, the total cost can be written as,
[tex](\$1.50 \times x)+ (\$1.25 \times y) = \$375\\\\1.50x+1.25y=375[/tex]
Hence, the equation that can be used to model the different numbers of beverages and candy that can be sold to meet the goal is 1.50x+1.25y=375.
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What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
Translate the sentence into an inequality five substracted from the product of 8 and a number is at most 25 use the variable x for unknown number
Answer:
8x - 5 ≤ 25
Step-by-step explanation:
Given that the unknown number is x
product of 8 and a number is expressed as 8x
five substracted from the product of 8 and a number is expressed as 8x - 5
Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5 ≤ 25
Simplify the expression.
30 - 7m + 5 + 16m
Answer:
[tex]35 + 9m[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](30 + 5) + ( - 7m + 16m)[/tex]
2) Simplify.
[tex]35 + 9m[/tex]
Therefor, the answer is 35 + 9m.