\(10=2(r+1)\)
Answers
10 over 2 = r+1
5=r+1
r+1=5
r=5-1
r=4
Related Questions
Anita has saved $43.75 of the $112.50 that she needs for a new snowboard.She saves $13.75 from her paper route each week. The equation13.75w + 43.75 = 112.50 can be used to represent the number of weeksit will take her to reach her goal. In how many more weeks will Anita havesaved enough money for the snowboard?
Answers
In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:
\(13.75w+43.75=112.50\)So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.
We obtain:
\(\begin{gathered} 13.75w+43.75-43.75=112.50-43.75 \\ \\ 13.75w=68.75 \\ \\ \frac{13.75w}{13.75}=\frac{68.75}{13.75} \\ \\ w=5 \end{gathered}\)Therefore, Anita will have saved enough money for the snowboard in 5 weeks.
a hotel elevator ascends 200m with maximum speed of 5m/s . its acceleration and deceleration both have a magnitude of 1.0m/s2 .
Answers
Step-by-step explanation:
The elevator has an acceleration and deceleration of magnitude 1.0 m/s^2, so it takes (5 m/s) / (1 m/s^2) = 5 seconds to reach its maximum speed of 5 m/s.
To come to a stop from this maximum speed, it will also take 5 seconds.
The time it takes for the elevator to travel the entire distance of 200 m is given by:
t = 5 s + 5 s + d / v
where d is the distance traveled at constant speed and v is the constant speed.
We know that the total time is equal to t = 10 s + d / 5 m/s.
Thus, d = (10 s - 5 s) * 5 m/s = 25 m.
So the elevator spends 5 seconds accelerating, 5 seconds decelerating, and 10 - 5 = 5 seconds at constant speed.
IN ONE REGION 40% OF ALL RESIDENTIAL TELEPHONE NUMBERS ARE UNLISTED. IF 5 RESIDENTIAL HOUSING UNITS ARE RANDOMLY SELECTED FIND THE PROBABILITY THAT ALL OF THEM HAVE UNLISTED NUMBERS
Answers
Given:
Percentage of numbers unlisted = 40% = 0.40
Sample size, n = 5
Let's find the probability that all 5 of the selected houses have unlisted numbers.
To find the probability, we have:
p(numbers unlisted) = 0.40
Hence, we have:
q = 1 - p = 1 - 0.40 = 0.60
For the probability, apply the binomial probability:
0 .
\(P(x=5)=(^5C_5)(0.40)^5(0.60)^{5-5}\)Solving further:
\(\begin{gathered} P(x=5)=(\frac{5!}{5!(5-5)!})(0.01024)(0.60)^0 \\ \\ P(x=5)=(\frac{5!}{5!(0)!})(0.01024)(1) \\ \\ p(x=5)=1*0.01024*1 \\ \\ p(x=5)=0.01024 \end{gathered}\)Therefore, the probability that all 5 numbers have unlisted numbers is 0.01024
• ANSWER:
0.01024
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average penetration of x 5 52.7 and a sample standard deviation of s 5 4.8. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use α = 0.05.) State the appropriate null and alternative hypotheses. Calculate the test statistic and determine the P-value.
Answers
According to the corrosion-resistance, the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the specification has not been met.
Based on the provided information, we can analyze whether the steel conduits meet the corrosion-resistance specification. The sample average penetration is 52.7 mils, with a sample standard deviation of 4.8 mils. The specification states that the true average penetration should be at most 50 mils. To make a conclusion, we need to state the appropriate null and alternative hypotheses, calculate the test statistic, and determine the p-value using α = 0.05.
The null hypothesis (H0) states that the true average penetration of the steel conduits is equal to or less than 50 mils. The alternative hypothesis (H1) states that the true average penetration exceeds 50 mils. Therefore, the hypotheses are as follows:
H0: μ ≤ 50 (where μ represents the true average penetration)
H1: μ > 50
To test these hypotheses, we can use a one-sample t-test since we have the sample mean, sample standard deviation, and a sample size of 45. With α = 0.05, we will reject the null hypothesis if the p-value is less than 0.05.
To calculate the test statistic, we can use the formula:
t = (x - μ₀) / (s / √n)
Plugging in the values:
x = 52.7 (sample average penetration)
μ₀ = 50 (specified maximum average penetration)
s = 4.8 (sample standard deviation)
n = 45 (sample size)
Calculating the test statistic, we find:
t = (52.7 - 50) / (4.8 / √45) ≈ 3.551
Using the t-distribution table or statistical software, we can determine the p-value associated with this test statistic. The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true.
Since the p-value is not provided in the question, we cannot determine the exact value. However, if the calculated p-value is less than 0.05 (our chosen significance level), we would reject the null hypothesis and conclude that there is sufficient evidence to demonstrate that the specification has not been met. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the specification has not been met.
In summary, to make a conclusive statement about whether the specification for the steel conduits has been met, we need to calculate the p-value associated with the test statistic.
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Write a linear equation that has no common solutions with the line y = 2x + 1.
explain your solution ?
Answers
The linear equation that has no common solutions with y = 2x + 1 is y = -3x + b, where b ≠ 1.
To find a linear equation that has no common solutions with the line y = 2x + 1, we need to find a line that is parallel to y = 2x + 1. Since parallel lines have the same slope, we need to find a line with a different slope than 2.
Let's choose the slope of -3. This means our linear equation will be in the form y = -3x + b, where b is the y-intercept we need to solve for.
To find b, we need to use the fact that the line has no common solutions with y = 2x + 1. This means that the two lines will never intersect, which can be represented by setting their y-intercepts to be different.
So we set y = -3x + b and y = 2x + 1 to be different at their y-intercepts:
-3x + b ≠ 2x + 1
Solving for b:
b ≠ 5x/3 + 1
We can choose any value for x, so let's choose x = 0:
b ≠ 1
Therefore, our linear equation is y = -3x + b, where b ≠ 1.
In summary, the linear equation that has no common solutions with y = 2x + 1 is y = -3x + b, where b ≠ 1.
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What is the smallest angle θ1θ1 for which a laser beam will undergo total internal reflection on the hypotenuse of the glass prism in the figure? Express your answer using two significant figures.
Answers
The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism is 41.8°, expressed with two significant figures
The smallest angle θ1 for which a laser beam can undergo total internal reflection on the hypotenuse of a glass prism can be calculated using the law of total internal reflection. This law states that when a ray of light is incident on the surface separating two media of different refractive indices, the angle of incidence (θ1) must be greater than a certain critical angle (θc) in order for total internal reflection to occur.
Calculating the critical angle of the hypotenuse of a glass prism can be done by using Snell’s Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media. In this case, the two media are air and glass, with refractive indices of 1 and 1.5 respectively.
Using Snell’s Law, we can calculate the critical angle of the hypotenuse as θc = sin⁻¹ (1/1.5) = 41.8°.
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Describe in words the region of ℝ3
represented by the inequalities.
x2 + z2≤ 9, 0
≤ y
≤ 1
Here,
x2 + z2≤
9
or, equivalently,
x2 + z2
≤ 3
which describes the set of all points
Answers
The region in ℝ³ represented by the inequalities\(x² + z² ≤ 9\)and 0 ≤ y ≤ 1 can be described as a cylindrical region extending vertically along the y-axis, with a circular base centered at the origin and a radius of 3 units.
The inequality \(x² + z² ≤ 9\)represents a circular region in the x-z plane, centered at the origin and with a radius of 3 units. This means that all points within or on the circumference of this circle satisfy the inequality. The inequality\(0 ≤ y ≤ 1\) indicates that the y-coordinate must lie between 0 and 1, restricting the vertical extent of the region. Combining these constraints, we obtain a cylindrical region that extends vertically along the y-axis, with a circular base centered at the origin and a radius of 3 units.
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A simple random sample of 500 households was used to estimate the proportion of American households that own a dog. A 95% confidence interval from this sample is (0.333,0.397). The margin of error for this interval is...
Answers
The margin of error for this interval can be calculated by taking the difference between the upper and lower bounds of the confidence interval and dividing it by 2. In this case, the difference between 0.333 and 0.397 is 0.064. Dividing that by 2 gives us a margin of error of 0.032.
This means that if we were to take multiple samples of 500 American households and calculate a confidence interval for each sample, about 95% of those intervals would contain the true proportion of American households that own a dog. However, each interval would differ slightly due to sampling variability, and the true proportion may fall outside the given interval. It is important to note that the margin of error is influenced by the sample size. Larger sample sizes tend to produce smaller margins of error, while smaller sample sizes result in larger margins of error. Therefore, it is crucial to have a sufficient sample size to ensure that the estimate is accurate and the margin of error is small.
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given: y=8-3x find the slope and y intercept
Answers
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope ; "b" is y-intercept.
~~~~~~~
y = - 3x + 8
m = - 3
b = 8
e=-2.4t+75 how far does the anchor drop every 5 seconds?
Answers
Step:
plug in 5 for t & ignore +75
2.4 (5)
84 minutes for 32 songs = 42 minutes for _____
songs
Answers
Answer: 84 minutes for 32 songs= 42 minutes for 16 songs.
Step-by-step explanation: All I had to do was divide 84 by two and divide 32 by 2.
84/2=42
32/2= 16 songs.
Answer: 16 songs.
84 dived by 2 equals 42.
Do 32 divided by 2 and it gives us 16.
Calculate the surface area of the triangular prism below.
Give your answer in mm².
18 mm
14 mm
27 mm
21 mm
9 mm
Not drawn accurately
Answers
Answer:
Surface area = 972 mm^2
Step-by-step explanation:
One of the formula we can use for surface area of a triangular prism is
SA = bh + L(s1 + s2 + s3), where
SA is the surface area in square units,b is the base of one of the triangles,h is the height of one of the triangles,L is the length (links the two triangles together),and s1, s2, and s3 are the three sides of one of the two triangles:In the figure, the base (b) is 27 mm, the height (h) is 14 mm, the length (L) is 9 mm, and we can use 18, 27, and 21 for s1, s2, and 23:
SA = 27 * 14 + 9(18 + 27 + 21)
SA = 378 + 9(66)
SA = 378 + 594
SA = 972 mm^2
Thus, the surface area of the figure is 972 mm^2
What are some (at least three) methods for determining the volume of the geometric shapes? Which of these methods do you expect to be the most precise? Why? Must have a minimum of 50 words in order to receive credit.
Answers
Three methods for determining the volume of geometric shapes are the formula method, the displacement method, and the integral method.
The formula method is commonly used for basic geometric shapes such as cubes, rectangular prisms, cylinders, and spheres. These shapes have well-defined formulas for calculating their volumes, such as V = l x w x h for a rectangular prism or V = πr²h for a cylinder. This method is straightforward and easy to use, but it may not be applicable to irregular or complex shapes.
The displacement method involves immersing the shape in a liquid and measuring the amount of liquid displaced. The volume of the shape is then equal to the volume of the liquid displaced. This method is useful for irregular shapes that cannot be easily measured using traditional formulas. However, it requires careful measurements and may not be practical for large or delicate objects.
The integral method is a mathematical technique that uses calculus to determine the volume of a shape. It is particularly suited for complex three-dimensional objects that cannot be easily measured or calculated using other methods. By breaking down the shape into infinitesimally small elements and integrating their volumes, the total volume of the shape can be accurately determined. This method is highly precise but requires advanced mathematical knowledge and computational tools.
In conclusion, while the formula method and the displacement method are useful for simple and irregular shapes respectively, the integral method is expected to be the most precise for determining the volume of geometric shapes. It can handle complex shapes and provide accurate results, albeit requiring advanced mathematical skills and tools.
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The function f ( x ) changes value when x changes from x 0 t o x 0 + d x . f ( x ) = x 3 − x , x 0 = 2 , d x = 0.1 a. Find the change Δ f = f ( x 0 + d x ) − f ( x 0 ) . b. Find the value of the estimate d f = f ′ ( x 0 ) d x . c. Find the approximation error | Δ f − d f | .
Answers
The change in f is Δf = 0.771.
The estimate of the change in f is df = 0.5.
The approximation error is |Δf - df| = 0.271.
What is the change, estimate and approximation?
The change in f, we can simply substitute the values of x0 and dx into the expression for Δf:
Δf = f(x0 + dx) - f(x0)= (x0 + dx)^3 - (x0 + dx) - (x0^3 - x0)
= (2.1)^3 - 2.1 - (2^3 - 2)
= 0.771
The value of the estimate df = f'(x0)dx, we first need to find the derivative of f with respect to x:
f'(x) = 3x^2 - 1We can substitute x0 = 2 and dx = 0.1 into the expression for df:
df = f'(x0)dx= (3x0^2 - 1)dx
= (3(2)^2 - 1)(0.1)
= 0.5
The approximation error |Δf - df|, we simply subtract the estimate df from the actual change Δf and take the absolute value:
|Δf - df| = |0.771 - 0.5|= 0.271
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See that's 6/23 is not the answer
Answers
Answer:
6/8,
Step-by-step explanation:
Answer:
You tried and that’s what matters, better luck next time. I‘lol ray to help you next time. Good Job
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The requried solution of the given inequality is x > 5 and there is an open circle at 5 and a bold line starts at 5 and points to the right.
As mentioned in the question,
We have,
–3(2x – 5) < 5(2 – x)
Simplify the above inequality,
-6x+15 < 10-5x
x > 5
Since on the number line, there is an open circle at 5 and a bold line starts at 5 and points to the right.
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1. A vendor buys 36 smartphones and tablet computers for $28 065. Given that a smartphone costs $895 and a tablet computer costs $618, find the number of each item the vendor buys.
solve via simultaneous equation
Answers
The number of smartphones the vendor buys is 21 and the number of tablet computers the vendor buys is 15.
What are Simultaneous Equations?
Equations that are solved simultaneously and share a common variable are known as simultaneous equations.Simultaneous equations include, for instance, x + y = 3 and x - y = 1, which both involve the same unknown variables, x and y, and are solved simultaneously to find the values of the variables. The substitution, elimination, and the graphical methods are just a few of the ways we might solve simultaneous equations.Let the number of smartphones be x and the number of tablet computers be y.
Given that the vendor buys 36 smartphones and tablet computers for $28,065.
\(x+y=36\) -----(1)
\(\implies y= 36-x\) -----(2)
It is also given that smartphone costs $895 and a tablet computer costs $618.
\(\implies 895x+618y=28065\) -----(3)
Now, substituting (2) in (3), we get
\(895x+618(36-x)=28065\\\implies 895x+22248-618x=28065\\\implies 277x+22248=28065\)
Simplifying, we get
\(277x=28065-22248\\\implies 277x=5817\\\implies x=21\)
So, the number of smartphones the vendor buys is 21.
\(y=36-x\\\implies y=36-21\\\implies y=15\)
So, the number of tablet computers the vendor buys is 15.
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The American Academy of Pediatrics recommends that parents begin reading to their children soon after birth and that parents set limits on screen time. A new study reinforces these recommendations. In the study, 27 four-year-olds were presented with stories in three different formats: audio (sound only), illustrated (sound and pictures), and animated (sound and animation). During the presentations, a magnetic resonance imaging (MRI) machine measured each child’s brain connectivity. The researches found a "Goldilocks effect," in which audio was too cold (with low brain connectivity as the children strained to understand) and animation was too hot (with low brain connectivity as the animation did all the work for the children). The highest connectivity (just right!) was found with the illustrated format, which simulates reading a book to a child.
a)What is the explanatory variable? Is it categorical or quantitative?
b)What is the response variable? Is it categorical or quantitative?
c)How many observational units (or individuals) are there?
Answers
a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.
b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.
c) The study includes 27 four-year-olds as the observational units or individuals.
Determine the different story format?The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.
The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.
On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.
The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.
The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.
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(-1, 2) and (3, k + 3); m =3/4
Answers
Answer:
k = 2
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Step 1: Replace variables
\(\frac{(k+3)-2}{3+1} =\frac{3}{4}\)
Step 2: Combine like terms
\(\frac{k+1}{4} =\frac{3}{4}\)
Step 3: Solve for k
k + 1 = 3
k = 2
Answer:
k=2
Step-by-step explanation:
The slope is 3/4
The slope formula is (y1-y2)/(x1-x2)
We can plug the values in
(2-k-3)/(-1-3)=3/4
Combine like terms
(-1-k)/-4=3/4
Cross multiply
-12= -4 - 4k
-8=-4k
k=2
Hope this helps!
if the measure of HIJ is 58 what is the measure of H’I’J’
Answers
The measure of angle H'I'J' is 58 degrees. It is important to note that this answer assumes the triangles HIJ and H'I'J' are similar and that the given angle measure corresponds to the same angle in both triangles.
To determine the measure of H'I'J' when the measure of HIJ is 58 degrees, we need to consider the relationship between corresponding angles in similar figures. If HIJ and H'I'J' are similar triangles, then their corresponding angles are equal.
In this case, since the measure of angle HIJ is given as 58 degrees, we can conclude that the measure of angle H'I'J' is also 58 degrees. This is because corresponding angles of similar triangles are congruent.
Therefore, the measure of angle H'I'J' is 58 degrees. It is important to note that this answer assumes the triangles HIJ and H'I'J' are similar and that the given angle measure corresponds to the same angle in both triangles.
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Montserrat can make 4 bracelets in 2 1/4 hours. How many bracelets can she make per hour
Answers
Answer: Montserrat bracelets can she make per hour = 0.5625 hours
Step-by-step explanation:
Given data,
Montserrat can make 4 bracelets in 2 1/4 hours.
Let assume Montserrat can make 1 bracelets in x hours.
So,
we can write,
4 ⇒ 2 1/4
1 ⇒ x
Then,
4x = 1 * 2 1/4
4x =1* 9/4
4x = 9/4
x = (9/4)/4
x = 9/16
x = 0.5625 hours.
Therefore,
Montserrat bracelets can she make per hour = 0.5625 hours
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what is the measure of ABC?
Answers
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
A team of researchers wants to determine whether pet owners are generally more satisfied with their lives than non-pet owners. To test their theory, the researchers randomly select 500 pet owners and 500 non-pet owners from several major metropolitan areas in the country. The researchers then interview the individuals, asking them a series of questions. Each response is assessed with a point value that is later translated to a satisfaction indicator. Of the pet owners surveyed, 380 of the 500 were found to be satisfied with their lives, while 336 of the 500 non-pet owners were found to be satisfied.A. would this study be considered an experiment or an observational study? Explain. B. Say that the researchers decide to run a z-test for the difference of two proportions to see if a higher proportion of pet owners are satisfied with their lives than non-pet owners. What would be the null and alternative hypotheses tested? Be sure to identify the parameters being tested
Answers
The values of all sub-parts have been obtained.
(a). This study be considered is an observational study.
(b). The value of Z = 3.085555.
(c). The conditions to be satisfied are sample sizes are independent and random sample.
(d). The p-value is 0.001.
What is standard Error?
The sample population's standard deviation is the standard error. It gauges how accurately a sample represents the entire population.
(a) Define that this study be considered an experiment or an observational study:
This is an observational study as there is no experiment is performed and only observations are performed.
(b) Define that what would be the null and alternative hypotheses tested:
Here pooled estimate p = (380 + 336)/(500 + 500) = 0.716
sample proportion 1 = 380/500 = 0.76
sample proportion 2 = 336/500 = 0.672
Standard error of difference in proportion = √[p* (1 -p) * (1/n₁ + 1/n₂)]
Substitute value respectively,
=√[0.716 * (1 - 0.716) * (1/500 + 1/500)]
= 0.02852
Test statistic:
Z = (0.76 - 0.672)/0.02852 = 3.085555
H₀: p1 = p2
Ha: p1 > p2
(c) Here the conditions to be satisfied are
(i) sample sizes are independent.
(ii) samples are simple random sample.
(d) Here p - value = 0.001
that means the meaning of p - value is that there is 0.001 probability to get such sample, when pet owners are satisfied with their lives than non-pet owners.
Hence, the values of all sub-parts have been obtained.
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Write the following Numbers in percentage and total percentage
47.5, 64.5, 42, 54.5, 64.5, 54.5, 54.5, 54.5
pls needed urgently
Answers
Answer:
To convert each number to a percentage, we can simply multiply it by 100.
47.5 = 47.5%
64.5 = 64.5%
42 = 42%
54.5 = 54.5%
64.5 = 64.5%
54.5 = 54.5%
54.5 = 54.5%
54.5 = 54.5%
To find the total percentage, we can add up all the percentages and divide by the total number of values. In this case, there are 8 values.
Total percentage = (47.5 + 64.5 + 42 + 54.5 + 64.5 + 54.5 + 54.5 + 54.5) / 8
Total percentage = 437.5 / 8 = 54.6875%
Therefore, the total percentage of the given numbers is 54.6875%.
Step-by-step explanation:
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Answers
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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Please help with this area question!
Answers
Answer:
Step-by-step explanation:
i thinks its 6 (im sorry if im wrong)
Here are three similar cuboids, A, B and C.
A has length 6 cm, width 2 cm
and height 5 cm
B has length 12 cm
C has length x cm
a) The total surface area of A is 104 cm
What is the total surface area of B?
Answers
which is bigger 3/11 or 3/12
Answers
Answer:
3/11
Step-by-step explanation:pls mark me brainliest
Attached is my written question in picture form. I apologize for my handwriting
Answers
The Solution:
Given the linear function below:
\(\begin{gathered} f(x)=4.6x+26 \\ \text{Where} \\ f(x)=\text{ the number of graduates from college } \\ x=\text{ number of years after 1998} \end{gathered}\)So, the slope of the linear function above is the coefficient of x in the given linear function. Therefore, the slope of the given function is 4.6
The interpretation of the slope is 4.6% of the people graduate from college every year after the year 1998.
I HAVE AN URGENT QUESTIONS!!!!
Answers
Thus, the area of the rectangular playground is found as 1500 sq. ft.
Explain about the area of rectangle:A parallelogram with four opposing, parallel, congruent sides is referred to as a rectangle. The rectangle's corners are at a right angle. The fact that a rectangle's sides are not all equal is the only distinction between it and a square.
A two-dimensional shape's area is the interior blank space. The quantity of space that a shape occupies is another way to define area. When calculating a rectangle's area, we multiply the length by the width of a rectangle.
Given that-
Perimeter P = 160 feetLength l = 50 feetLet the width = w feet.P = 2(l + w)
160 = 2 (50 + w)
80 = 50 +w
w = 80 - 50
w = 30 feet
area = length* width
area = 50*30
area = 1500 sq. ft
Thus, the area of the rectangular playground is found as 1500 sq. ft.
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Correct question-
The perimeter of the playground shown is 160 feet. Find the area.
Length is 50 ft.
