Answer:
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The following table shows the height of a plant at different ages.
Age (in weeks)
3
7
10
Height (in centimeters)
12
35
60
Is the height of the plant proportional to its age?
Choose 1 answer:
А
Yes
B
No
Answer:
the answer to this question would be A
Why is choosing a smaller unit of measure is more meaningful?
Pls explain due tomorrow!!!
Answer: Choosing a smaller unit of measure is more meaningful because it allows for more precise measurements. When using a smaller unit of measure, such as millimeters instead of centimeters, or seconds instead of minutes, you are able to capture more detailed information about the measurement. For example, measuring something in centimeters may give you a rough idea of the size, but measuring it in millimeters will give you more detailed information, which can be especially important in scientific or technical fields. Additionally, choosing a smaller unit of measure can be more meaningful when making comparisons or performing calculations, as it allows for greater accuracy.
Step-by-step explanation:
Hopes this helps you for Tomorrow!!
NO LINKS!!! URGENT HELP PLEASE!!!
Solve ΔABC using the Law of Sines
1. A = 29°, C = 63°, c = 24
2. A = 72°, B= 35°, c = 21
Answer:
1) B = 88°, a = 13.1, b = 26.9
2) C = 73°, a = 20.9, b = 12.6
Step-by-step explanation:
To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Question 1Given values:
A = 29°C = 63°c = 24As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies B=180^{\circ}-A-C\)
\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)
\(\implies B=88^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)
\(\implies a=13.0876493...\)
\(\implies a=13.1\)
Solve for b:
\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)
\(\implies b=26.9194211...\)
\(\implies b=26.9\)
\(\hrulefill\)
Question 2Given values:
A = 72°B = 35°c = 21As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies C=180^{\circ}-A-B\)
\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)
\(\implies C=73^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)
\(\implies a=20.8847511...\)
\(\implies a=20.9\)
Solve for b:
\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)
\(\implies b=12.5954671...\)
\(\implies b=12.6\)
Solve similar triangles
Solve for x.
Answer:
x = 12
Step-by-step explanation:
Apply Thales' theorem
\(\frac{ED}{CB} =\frac{AD}{AB}\)
\(ED=x\)
\(\frac{x}{6} =\frac{20}{10}\)
\(x=\frac{(20)(6)}{10} =12\)
Hope this helps
b. Choose the correct answer below.
O A. In a designed experiment, researchers simply observe characteristics and take measurements, as in a sample survey
OB. In a designed experiment, researchers look at all the members of the group being studied
oc In a designed experiment, researchers impose treatments and controls and then observe characteristics and take measurements
Answer:
please mark me brainliest
Ronald likes to skate at a game store that is due south of his school and due west of his favorite skate park. If the game store is 7 miles from his school and the straight line distance between yhe school and the skate park is 8 miles, how far is the game store from the skate park?
Answer:
15 miles
Step-by-step explanation:
7 miles from game store to school plus another 8 miles from school to skate park equal 15.
Newsweek performed a poll in which 500 American parents were asked the question, “Would you prefer to have your child taught by a male or female for grades K-2?” Only 40% responded that they would prefer to have their child taught by a male in grades K-2. Construct a 95% confidence interval for the poll.
Newsweek performed a poll in which 500 American parents were asked the question, “Would you prefer to have your child taught by a male or female for grades K-2?” 95% confidence interval for the poll is
(38.88%, 41.12%)
What is a confidence interval?Generally, To construct a 95% confidence interval for the poll, we need to first calculate the margin of error. The margin of error for a poll is a measure of the precision of the estimate and is calculated based on the sample size, the level of confidence, and the standard deviation of the population.
In this case, the sample size is 500, the level of confidence is 95%, and the standard deviation of the population is unknown. We can approximate the standard deviation using the sample proportion of 40% as an estimate of the population proportion.
Using these values, the margin of error can be calculated as follows:
Margin of error = z * standard error
Where z is the critical value from the standard normal distribution for the desired level of confidence (in this case, 1.96 for a 95% confidence interval) and the standard error is calculated as:
Standard error = √(p * (1 - p) / n)
Where p is the sample proportion (40% in this case) and n is the sample size (500 in this case).
Substituting these values into the formula for the margin of error, we get:
Margin of error = 1.96 * √(0.4 * (1 - 0.4) / 500)
= 1.96 * sqrt(0.16 / 500)
= 1.96 * √(0.000032)
= 1.6 * 0.005656854
= 0.011168
So the margin of error for this poll is approximately 0.011168 or 1.12%.
To construct the 95% confidence interval, we need to add and subtract the margin of error from the sample proportion. The 95% confidence interval for the poll is, therefore:
40% ± 1.12%
= (38.88%, 41.12%)
This means that we can be 95% confident that the true population proportion of parents who would prefer to have their child taught by a male in grades K-2 lies within the interval between 38.88% and 41.12%.
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CAN SOMEONE PLS HELP ME WITH MY PRACTICE MATH QUESTIONS!!!
some fhdf
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fdfjjjf9d094--djjf9939=3030395944./445335
Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle of elevation with the ground to the top of the waterslide?round to two decimals places
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
Solve for s.
3(s+8)=36
s = 2
s = 4
s = 8
s = 12
Answer:
3(s+8) = 36
= 3(4+8) = 36
=3(12) = 36
= 3×12 = 36
Answer:
s = 4
Step-by-step explanation:
To solve for "s", we need to simplify the distributive property on the LHS.
\(\rightarrow 3(s + 8) = 36\)
\(\rightarrow 3s + 24 = 36\)
Now, let's solve for "s".
\(\rightarrow 3s + 24 = 36\)
\(\rightarrow3s + 24 - 24 = 36 - 24\)
\(\rightarrow3s = 12\)
\(\rightarrow \boxed{s = \dfrac{12}{3} = 4}\)
The cost of dress in a shop is 320.00 for more than more than the cast: If a customer of a pair of pays 305.00 for the turo items. How much does each cost.
The price of each of these be
A dress market at Rs.120 is 96A pair of shoes market at Rs.750 is 600A bag market at Rs.250 is 200.What is discount?The discount is determined by dividing the purchase price by the item's par value. Discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate. (Discount List Price) 100 is the formula used to determine the rate of discount. The discount is the amount that is subtracted from the selling price in the formula. [(List price - Selling price)/List price] 100 is an additional formula for computing discount percentages.The simplest definition of a price is the sum of money exchanged by a buyer and seller for a good or service.A. Price \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)
B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)
C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)
The complete question is.
A shop gives 20% discount. What would the price of each of these be?
A dress market at Rs.120
A pair of shoes market at Rs.750
A bag market at Rs.250
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There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning
Someone help me with this
a. Category with the greatest frequency is 20 - 24
b. 14 students
c. The percentage is 7%
What is frequency?Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.
From the information given, we have that;
a. The category with the greatest frequency is the one with most words spelt, we have;
20 - 24
b. The number of students that spelt 35 - 39 words is traceable to
14 students
c. If the total number of students is 200
Then, the percent of students in the 35 - 39 category is;
14/200 × 100/1
Multiply the values
7%
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what happens to mean amd median?
Step-by-step explanation:
.
Answers:
Part (a): It stays the samePart (b): It decreases by 5 dollars=====================================================
Explanation:
Part (a)
The numbers are sorted from smallest to largest, so we pick out the middle most value to get the median. It turns out that 1015 and 1025 are tied for the middle-most spot. Average these values to get (1015+1025)/2 = 1020. The median is 1020.
Notice how the median will not change if we replaced one "1100"s with "1060". This is because 1015 and 1025 still occupy the middle, and 1020 is at the midpoint between them. The median would only change if we either introduce or take away a value entirely, or if we replaced 1100 with some value between 1015 and 1025 that isn't 1020 itself. For instance, if we replace 1100 with 1019, then the median would become 1017 (decrease).
However, none of these situations happen, so that's why the median stays where it is.
--------------------------
Part (b)
Go back to the original list of numbers.
Add them up to get
820+910+945+1015+1025+1085+1100+1100 = 8000
Divide this over 8 since we have 8 values here
8000/8 = 1000
The mean rent is $1000
Now let's replace one copy of the "1100" with "1060". Follow the same steps as above.
Add: 820+910+945+1015+1025+1085+1060+1100 = 7960Divide: 7960/8 = 995After that rent change from $1100 to $1060, the mean rent is now $995
The mean rent went down by 1000-995 = 5 dollars.
a triangular prism is cut parallel from its bases, what is the shape of the cut?
Answer:
a triangle
Step-by-step explanation:
when looking at a triangular prism it is made of 4 triangles, so any way you cut it, it will be a triangle
Use this information to evaluate the following. Hint: do not try to solve for the value of a.
loga 2 = 0.32
loga 3 = 0.50
loga 5 = 0.73
a. loga 15 =
b. loga (5/3) =
c. loga(8a7)
Answer:
a. 1.23
b. 0.23
c. 7.96
Step-by-step explanation:
Use laws of logarithms:
log(a*b) = log(a) + log(b)
log(a/b) = log(a) - log(b)
log(a^b) = b*log(a)
log_k(k) = 1
a. log_a(15) = log_a(3*5) = log_a(3) + log_a(5) = 0.50 + 0.73 = 1.23
b. log_a(5/3) = log_a(5) - log_a(3) = 0.73 - 0.50 = 0.23
c. log_a(8*a^7) = log_a(8) + log_a(a^7) = log_a(2^3) + log_a(a^7)
= 3log_a(2) + 7log_a(a) = 3(0.32) + 7(1) = 7.96
A high school student became dehydrated while recuperating from a virus. In the hospital he was given 120 cc of glucose intravenously at a drip rate of 1.02 cc per minute.
a. Make a table comparing the elapsed time with the amount of glucose given to the patient by calculating how much glucose is left in the bag over time. Use g for the number of ccs of glucose left in the bag and t for time in minutes.
NOTE: The x-axis is usually used to represent time.
b. Write an equation describing the relationship between the elapsed time and the amount of glucose remaining in bag.
c. Draw a graph. Discuss the meaning of the t-intercept and the g-intercept in this real-world situation.
d. What information from the table in part (a) and the graph in part (b) might be valuable to the doctor?
The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t
What is an equation ?
In mathematics, an equation is a statement that shows the equality between two expressions containing variables. It is typically written as a combination of numbers, variables, and mathematical symbols, such as addition, subtraction, multiplication, and division.
Here is a table comparing the elapsed time with the amount of glucose given to the patient:
Time (minutes) Glucose remaining in bag (cc)
0 120
1 119.98
2 119.96
3 119.94
4 119.92
... ...
t 120 - 1.02t
The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t
where g represents the amount of glucose remaining in the bag in cc and t represents the elapsed time in minutes.
Hence, The equation describing the relationship between the elapsed time and the amount of glucose remaining in the bag is: g = 120 - 1.02t
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Amy has 4 accounts to manage. She has $250 in account one, over drawn $45 in account two, $100 in account three, and a forth account of $x. All four
accounts have a balance of $130 together.
What is the status of account four?
A The fourth account is the most
over drawn.
B The fourth account has more than account 3, but less than account 2.
C The fourth account has the most money in it.
D The fourth account has more than account 2, but less than account 3.
Amy's forth account is the most over drawn of all the four accounts
What is the total balance of all accounts?
The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted
Total balance=$250-$45+$100+$x
The total balance=$130
the balance in the forth account=$x
Let us substitute $130 for the total balance
$130==$250-$45+$100+$x
$130=$305+$x
$x=$130-$305
$x=-$175
The fact that the forth account has a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.
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Find the sum of the geometric series for which a = 160, r = 0.5, and n = 6.
\(\\ \sf\longmapsto S_n=\dfrac{a(1-r^n)}{1-r}\)
\(\\ \sf\longmapsto S_n=\dfrac{160(1-0.5^6)}{1-0.5}\)
\(\\ \sf\longmapsto S_n=\dfrac{160(1-0.015625)}{0.5}\)
\(\\ \sf\longmapsto S_n=\dfrac{160(0.984378)}{0.5}\)
\(\\ \sf\longmapsto S_n=80(0.984378)\)
\(\\ \sf\longmapsto S_n=78.75\)
Answer:
\(s _6 = 315\)
Step-by-step explanation:
Here,
a = First term
r ,= common ratio
Now let's use this formula to find the sum of the above geometric series
\(s _n = \frac{a(1 - {r}^{n} )}{(1 - r)} \\ \\ s _6 = \frac{160(1 - {0.5}^{6} )}{(1 - 0.5)} \\ \\ s _6 = \frac{160 (1 - 0.015625)}{0.5} \\ \\ s _6 = \frac{157.5}{0.5} \\ \\ s _6 = 315\)
Hope this helps you.
Let me know if you have any other questions:-)
3(x - 4) = 15 and x - 4 = 5
Answer: 9 for both questions!
3(x-4) = 15 and 9 - 4 = 5
Answer:
for both x=9
Step-by-step explanation:
help its due in 1 hour !!!
Answer:
Hello its 78 I believe good luck!
Jon’s weight loss for each week of the month is 4 lbs., 3.5 lbs. and 2 lbs. He gained 4.5 lbs. the last week. If Jon originally weighted 153 lbs., how much does he weigh now?
***only enter the numerical value, do not put the units***
Answer: 148 lbs
first you do 4+3.5+2=9.5 then you do 9.5-4.5=5 so then you do 153-5 to get your answer 148 lbs
i hope this helps :)
I don't know how to do this can you help me please?
Answer:
Key characteristics include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Step-by-step explanation:
I don't really know how to help on this but I hope of you know what key characteristics are you'll understand what to dom
In each of the following graphs, find the lengths of the line segments shown. Write your answers (in simplest
radical form if they are not integers.
(a)
B
(b)
Q
The length of the two segments, written as radicals, are:
AB = √117
PQ = √244
How to find the length of the segments shown?Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:
L = √( (x₂ - x₁)² + (y₂ - y₁)²)
First, for the segment AB the endpoints are:
A = (-4, -4)
B = (2, 5)
Then the length is:
L = √( (-4 - 2)² + (-4 - 5)²)
L = √117
For the segment PQ the endpoints are:
P = (-6, 8)
Q = (6, -2)
The length is:
L = √( (-6 - 6)² + (8 + 2)²)
L = √244
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What factoring method would be the BEST choice
4x² - 121
( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
= 4x² - 121
= (2x)² - ( 11 )²
= ( 2x + 11 ) ( 2x - 11 )
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Find the remaining trigonometric ratios. tan(α) = 2, 0<α<π/2the responses they want are:1. sine(α)=_2. cos(α)=_3. cot(α)=_4. sec(α)=_5. csc(α)=_
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
Martin finds an apartment to rent for $420 per month. He must pay a security deposit equal to one and a half months' rent. How much is the security deposit? Alexis earns $31,350 per year. According to the banker's rule, how much money can she afford to borrow for a house?
if one month is $420
and the security deposit is one and a half month= 1.5*$420
1.5*420=630
So the answer is: 630
1. 1.267 expanded and word form 2. 2,456.98 expanded and word form 3. 34,568.2
1 One and two hundred sixty-eight thousandths
2 two thousand 4 hundred fifty-six and ninety-eight hundredths
3 thirty-four thousand five hundred sixty-eight and two tenths
Which set of ordered pairs represents a function?
o {(4,2), (-9, -2),(4, -1),(-8,8)}
o {(1,3), (4, 1), (3,0), (3,9)}
o {(0,6), (5, -9), (-7,8), (5,5)}
O {(2, -4), (-1, -5), (9,–8), (5,-4)}