There are two types of trees to plant in the yard type A trees are 36 inches tall and grows 8 inches per year type B are 18 inches tall but grow 10 inches per year when will the trees be the same height
Answers
As a result, both varieties of trees will be the same height after 9 years. We can change both equations to a = 9 to verify this: Height of the type A tree is 36 + 8(9) or 36 + 72 inches, whereas the height of the type B tree is 18 + 10(9) or 18 + 90 inches.
What function do height and distance serve in everyday life?Trigonometry includes heights and distances, and it has numerous uses in practical daily life. It utilised to compute height of towers, structures, mountains, etc., and distance between any two objects such celestial bodies others. ,sys,s tos.as to .... and.
Let's use "a" to denote the number of years after planting the trees.
A type A tree will reach the following height after "a" years:
Height of type A tree = 36 + 8a
After "a" years, the height of a type B tree will be:
Height of type B tree = 18 + 10a
We must set the two types of trees' heights equal to one another and solve for "a" to determine when they will reach the same height:
36 + 8a = 18 + 10a
Subtracting 8a from both sides, we get:
36 = 18 + 2a
Subtracting 18 from both sides, we get:
18 = 2a
Dividing both sides by 2, we get:
a = 9
Therefore, after 9 years, both types of trees will be the same height.
To check this, we can substitute a = 9 into both equations:
Height of type A tree = 36 + 8(9) = 36 + 72 = 108 inches
Height of type B tree = 18 + 10(9) = 18 + 90 = 108 inches
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Question:
You have two types of trees to plant in your yard: type A trees are 36 inches tall and grow 8 inches per year, while type B trees are 18 inches tall and grow 10 inches per year. At what point in time will the trees be the same height? How tall will the trees be at that time?
Related Questions
Rearrange the equation to isolate b
-5b=10a please help i dont get it
Answers
/-5=/-5
b=-2a
Answer:
b = -2aExplanation:
-5b = 10a
Divide Both Sides By -5-5b / -5 = 10a / -5
b = - 2aPLEASE HELP QUICK 30 POINTS
You know the lengths of the two legs of a right triangle, and you are trying to solve for the measures of the acute angles of that triangle. Without calculating the length of the hypotenuse, which trigonometric ratio and reciprocal trigonometric ratio would be most useful in this calculation? Why?
Answers
Alternatively, you could use the reciprocal trigonometric ratio of the cosine. The cosine of an acute angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse. Since we do not know the length of the hypotenuse, we cannot use the cosine directly. However, the reciprocal of the cosine is the secant, which is the ratio of the hypotenuse to the adjacent side. By taking the reciprocal of the ratio of the longer leg to the shorter leg, we can find the secant of one of the acute angles. We could then use the inverse secant function to find the measure of that angle.
The bottom of a lake is 213 feet above sea level.
Short answer that best completes each statement
Answers
Answer:how will we know what your talking about if you only gave us a number
Step-by-step explanation:
PLEASE HELP THE QUESTION IN THE PICTURE.
Answers
the answer is 4/5 this is know to be hard
What is the value of 2y + 3 when y +4 ?
Answers
Answer:
substitute y = 4 into the expression⇒(2×4)+3=8+3=11
Step-by-step explanation:
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
Answers
It is mentioned that there are 35 more blue balls than red balls. Therefore, the number of blue balls is 30 + 35 = 65.
The remaining balls are green, so the number of green balls is 110 - (30 + 65) = 15.
To find out how many more blue balls there are than green balls, we subtract the number of green balls from the number of blue balls: 65 - 15 = 50.
Therefore, there are 50 more blue balls than green balls.
Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 25% of the passengers are on business while on ordinary jets 30% of the passengers are on business. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. (Hint: The 25% and 30% values are conditional probabilities stated as percentages.) What is the probability a randomly chosen business customer flying with Global is on a jumbo jet?
Answers
Answer:
Answer:
The probability is \(P(J|B) = 0.36\)
Step-by-step explanation:
B =business
J=jumbo
Or =ordinary
From the question we are told that
The proportion of the passenger on business in the ordinary jet is \(P(B| Or) = 0.25\)
The proportion of the passenger on business in the jumbo jet is \(P(B|J) = 0.30\)
The proportion of the passenger on jumbo jets is \(P(j) = 0.40\)
The proportion of the passenger on ordinary jets is evaluated as
\(1 - P(J) = 1- 0.40 = 0.60\)
According to Bayer's theorem the probability a randomly chosen business customer flying with Global is on a jumbo jet is mathematically represented as
\(P(J|B) = \frac{P(J) * P(B|J)}{P(J ) * P(B|J) + P(Or ) * P(B|Or)}\)
substituting values
\(P(J|B) = \frac{ 0.4 * 0.25}{0.4 * 0.25 + 0.6 * 0.3}\)
\(P(J|B) = 0.36\)
Step-by-step explanation:
20 pts! If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent? Segment J K and Segment A B Segment J K and Segment C B Segment J M and Segment A D Segment J M and Segment B C
Answers
Answer:
segment I'm and segment ad
Answer:
The answer is B
Step-by-step explanation:
can you guys help
the photo us up there ...
plz
Answers
Answer:
\(g( \sqrt{2} ) = \sin( \sqrt{2} ) \\ f(g( \sqrt{2} )) = {e}^{ \sin( \sqrt{2} ) } = 2.68=2.7
Answer:
D
Step-by-step explanation:
\(g(\sqrt{2})=\sin{\sqrt{2}}\\\\f(\sin{\sqrt{2}})=e^{\sin{\sqrt{2}}}\approx 2.7\)
First plug \(\sqrt{2}\) into the formula for g(x). Then plug that result into f(x).
The attached image shows a TI-83 calculation. Make sure your calculator is in Radian mode, not degrees!
Express the given trigonometric functions in terms of the same function of a positive acute angle.sec 948 degrees, cos(-948) degrees
Answers
Given the Trigonometric Functions:
\(\begin{gathered} sec(948\text{\degree}) \\ \\ cos(-948\text{\degree}) \end{gathered}\)Using your calculator you get:
\(sec(948\text{\degree})\approx-1.49\)By definition, Secant is negative in Quadrant III.
Finds its Reference Angle as follows:
\(948\text{\degree}-5\cdot180\text{\degree}=48\text{\degree}\)Because:
\(\frac{948}{180}\approx5\)Then, you get:
\(=-sec\left(48\text{\degree}\right)\)Notice that:
\(cos(-948\text{\degree})\approx-0.67\)Then, you can conclude that it is in Quadrant II.
Therefore its Reference Angle is:
\(5\cdot180\text{\degree}-948\text{\degree}=-48\)So you can set up:
\(=-cos\lparen-48)\)By definition:
\(cos(-\theta)=cos\theta\)Therefore, you can rewrite it in this form:
\(=-cos(48\text{\degree})\)Hence, the answer is:
\(\begin{gathered} sec(48\text{\degree}) \\ \\ -cos(48\text{\degree}) \end{gathered}\)You pick a card at random. 5 6 7 What is P(odd or greater than 6)?
Answers
The answer to the question is 1/3.
There are three possible outcomes: 5, 6, or 7.
Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.
Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.
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Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Answers
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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Find the indicated confidence interval. Assume the standard error comes from a bootstrap distribution that is approximately normally distributed.
Answers
The 99% confidence interval for the population proportion p is (0.776, 0.824).
To find the 99% confidence interval for a proportion, we can use the formula:
CI = p^ ± z*(SE)
where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.
For a 99% confidence interval, the critical value z is 2.576.
Substituting the given values into the formula, we have:
CI = 0.80 ± 2.576*(0.03/√200)
Simplifying this expression, we have:
CI = 0.80 ± 0.024
This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.
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Marcus jogged 1 2/5 miles on Saturday and 9/10 miles on Sunday. Rounding the
fractions to the nearest 1/2, approximately how many miles did he jog over the
weekend? Express your answer as an improper fraction.
Answers
Marcus jogged approximately 2 1/2 miles over the weekend.
How to find the how many miles did he jog over the weekendWe need to discover a common denominator to add the miles run on Saturday and Sunday. Because 10 is the least common multiple of 5 and 2,
we may convert the fractions to have a denominator of 10:
1 2/5 = 1 + 4/5 = 5/5 + 4/5 = 9/5
9/10 = 0.9 = 9/10
Now we can add the two distances:
9/5 + 9/10 = 18/10 + 9/10 = 27/10
Rounding 27/10 to the nearest 1/2 gives:
27/10 ≈ 2 1/2
Therefore, Marcus jogged approximately 2 1/2 miles over the weekend.
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How can seven people share 3 cupcakes equally? (20 pts) quick
Answers
Answer:
You Just have to divide
Step-by-step explanation:
2 1/3
MATH please solve it now and let it be correct please i am dropping 30 points so please help me
Answers
The matrix X is \(X = A^{-1} B\)
What are invertible matrix?
A square matrix is invertible if and only if the determinant is not equal to zero. A n × n matrix is only invertible if the determinant of the matrix is not zero and has inverse. If the determinant is zero, then the matrix is not invertible and has no inverse.
Given that the two matrix A, B are invertible, therefore the inverse of the matrix exists.
Now given that,
AX = B …(1)
Multiplying \(A^{-1}\) on both the side of the equation (1), we get
\(A^{-1} A X = A^{-1} B\)
We know that \(AA^{-1} = 1\)
⇒ \(X = A^{-1} B\)
Therefore, the matrix will be \(X = A^{-1} B\)
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Steve is going shopping. This matrix shows his shopping list:
How much will Steve spend if he shops at S2?
Round to the nearest cent
Answers
$27.71 is the amount Steve spend if he shops at S2.
Given that Steve is going shopping
The shopping list of steve has 2 cereal, 4 soups , 2 soda, 1 milk and 4 candy.
We have to find the cost spend by Steve when he purchase in shop 2, S2.
In S2, the cereal cost 2.15, soup cost 2.75, soda cost is 3.00, Milk cost 3.25 and candy costs 0.79.
Total cost = 2×2.15 + 4×2.75+2×3+1×3.25+4×0.79
=4.3+11+6+3.25+3.16
=27.71
Hence, $27.71 is the amount Steve spend if he shops at S2.
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stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answers
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43
Answers
Step 1: Calculate the present value of each dividend payment.
PV(2015) = $1.45 / (1 + 0.12)^1 = $1.29
PV(2016) = $1.56 / (1 + 0.12)^2 = $1.22
Step 2: Calculate the present value of the expected stock price at the end of 2016.
PV(2016 stock price) = $35.80 / (1 + 0.12)^2 = $28.33
Step 3: Add up the present values of the dividend payments and stock price to get the total stock value.
Stock value = PV(2015) + PV(2016) + PV(2016 stock price) = $1.29 + $1.22 + $28.33 = $30.84
Therefore, the value of Horn of Plenty Mining's stock is $30.84, which means that the correct option is e) None of the above.
someone selected at random from the sample most likely chose which of the following as their favorite color?
Answers
The frequency of red color is maximum then the frequency of green color is maximum so their favorite color either green or red. So according to answer the option b is correct.
This information was taken from a sample 200 of people who chose a favorite color from the four colors listed in the table.
The relative frequency table is:
Favorite Color Relative Frequency Frequency
Blue 0.22 0.22 × 200 = 44
Green 0.30 0.30 × 200 = 60
Yellow 0.12 0.12 × 200 = 24
Red 0.35 0.35 × 200 = 70
The frequency of red color is maximum so their favorite color is Red. Then the frequency of green color is maximum so their favorite color might be green.
So according to the option b is correct.
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The complete question is:
Use the relative frequency distribution table below for the following questions. This information was taken from a sample 200 of people who chose a favorite color from the four colors listed in the table.
Favorite Color Relative Frequency
Blue 0.22
Green 0.30
Yellow 0.12
Red 0.35
Someone selected at random from the sample most likely chose which color as their favorite color?
Either blue or red
Either green or red
Neither yellow nor red
Neither blue nor green
There are 140 students in the seventh grade, and 5% are in the Environmental Club.
How many students are in the Environmental Club?
Answers
Answer:
7 students.
Step-by-step explanation:
A trick for this is to find 10% of the students in the Environmental Club and then divide by 2.
10% of 140 is simple; just remove the 0 and you got 14.
Next, divide 14/2 to get 5%
14/2 = 7
7 students are apart of the Environmental Club
PLEASE ANSWER QUICK
The slopes of a quadrilateral are 2/5, 5/4, 5/4, and 2/5. What conclusion about this shape can be made?
A. The quadrilateral is a trapezoid, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
B. The quadrilateral is a parallelogram, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
C. The quadrilateral is a trapezoid, because there is one pair of equal slopes, and thus one pair of parallel opposite sides.
D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
Answers
Based on the definition of parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
What are the Properties of a Parallelogram?If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.
If two sides of a shape have the same slopes, it then means the shape is a parallelogram.
The quadrilateral that is given is said to have the following:
Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.
Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.
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A line with a slope of 10 passes through the points (8, n) and (9, 7). What is the value of n?
Answers
Answer:
n = -3
Step-by-step explanation:
slope = 10 = (7 - n) / (9 - 8) = (7 - n) / 1
7 - n = 10
-n = 10 - 7 = 3
n = 3/-1 = -3
What is the scale factor of triangle A to triangle D.
Answers
Answer:
the correct answer is isosceles
Answer:
When two shapes are similar, their corresponding angles will be the same. The angles are the same because the shape is still the same. You can tell from the order of the similarity statement which angles match up. In the example, angles A and D are the same (both letters are in written first), angles B and E are the same (both letters are written in the middle), and C and F are the same
Step-by-step explanation:
Similar triangles can be different sizes, so the lengths of the corresponding sides are not necessarily the same, but they are proportional. This means that the ratios of the corresponding sides are equal.
-7+0.3(-4x+20)+8.8x
Help me plz
This is 8th grade math btw
Answers
Answer:
7.6x−1
Step-by-step explanation:
Expand by distributing terms
−7−1.2x+6+8.8x
Collect like terms.
(−7+6)+(−1.2x+8.8x)
Simplify
−1+7.6x
Regroup terms.
7.6x−1
The formula is T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 2-minute confession at an operating speed of 3 1/2 inches per second?
Answers
Answer:
im not sure im sorry
Step-by-step explanation:
not sure
code: M74 E allowed Second chance! Review your workings and see if you can correct your mistake. A parallelogram is shown below. Work out the size of the angle marked c. 46° C Not drawn accurately
Answers
Angle a + Angle d = 180 degreesAngle b + Angle c = 180 degrees.
In a parallelogram, adjacent angles are supplementary. As a result, we can express c in terms of the angles adjacent to it as follows: Angle a + Angle c = 180 degreesAngle c + 46 degrees = 180 degreesAngle c = 180 degrees - 46 degrees = 134 degreesTherefore, the size of angle c is 134 degrees.
A parallelogram is a four-sided quadrilateral that has opposite sides parallel and equal in length. Each of the opposite angles is also equal in size.In general, if we label the angles of a parallelogram as follows: Angle a, Angle b, Angle c, and Angle d,.
we have the following:Angle a = Angle c (opposite angles are equal)Angle b = Angle d (opposite angles are equal)Adjacent angles in a parallelogram are supplementary, which means they add up to 180 degrees.
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Find the number of years the annuity will last if it pays 300 per year.
Answers
The number of years the annuity will last if it pays $300 per year is 18 years.
What is an annuity?An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.
The annuity payment may be monthly or yearly, as the case may be.
An online finance calculator can compute the annual payment (annuity).
I/Y (Interest per year) = 7%
PV (Present Value) = $3,000
PMT (Periodic Payment) = $-300
FV (Future Value) = $0
Results:
N = 17.795
Sum of all periodic payments = $-5,338.44
Total Interest $2,338.44
Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.
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Question Completion:The present value of an annuity is $3,000 and earns 7% per annum.
Find the number of years the annuity will last if it pays $300 per year.
A population of 250 wild turkeys decreases by 2.2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population. Which function can be used to determine the number of turkeys, y, in this population at the end of t years?
Answers
Answer:
b
Step-by-step explanation:
Could someone help with question 7?
Answers
Answer:
x=35
Step-by-step explanation:
since the two triangles are similar, we can set up a proportion to find x:
4/14=10/x
4x=140
x=35