I’ll give the Brainliest to who answers these questions first.
Brock has $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and $169 for a loan payment. Find the amount remaining in his account. Explain.
Linda’s pay check was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on transportation, and $290 on other things. She put the rest of her pay check in savings. How much did she put in savings? Explain.
Answers
Answer:
the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290
Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831
Answer:
the amount remaining in Brocks account is 2,290
the amount remaining in Linda's is 353
Step-by-step explanation:
i found the amount by Subtracting
Related Questions
Each individual result of a probability experiment is called a(n) a. complement b. event s
c. ample space
d. outcome
Answers
Each individual result of a probability experiment is called an "outcome" (d).
An outcome refers to a specific result or occurrence that can happen when conducting a probability experiment. It represents the different possibilities or potential results of an experiment.
For example, when flipping a fair coin, the possible outcomes are "heads" or "tails." In this case, "heads" and "tails" are the two distinct outcomes of the experiment.
Similarly, when rolling a fair six-sided die, the possible outcomes are the numbers 1, 2, 3, 4, 5, or 6. Each number represents a different outcome that can occur when rolling the die.
In summary, an outcome is a specific result or occurrence that can happen during a probability experiment. It is essential to understand outcomes as they form the basis for calculating probabilities and analyzing the likelihood of different events occurring.
Thus, each individual result of a probability experiment is called an "outcome" (d).
Know more about probability here,
https://brainly.com/question/31828911
#SPJ11
Percentage of Male Students
Thirty Random Samples
55% 65% 55% 40% 50% 70%
65% 45% 55% 45% 60% 60%
60% 55% 60% 60% 60% 50%
45% 50% 55% 45% 45% 65%
35% 55% 65% 35% 60% 50%
Based on your dot plot, make a new estimate of both the percentage and number of males that attend this university. Use complete sentences in your answer and explain your reasoning.
Answers
Based on the dot plot, it appears that the percentage of male students at this university is around 55%. The dot plot shows that the majority of the samples have a percentage of male students between 50% and 60%. There are a few outliers, with some samples showing percentages as low as 35% and as high as 70%, but these are relatively uncommon.
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is commonly used to express a proportion or a rate, and is often denoted by the symbol "%". For example, if a test had 20 questions and a student answered 15 correctly, the student's score can be expressed as 75%, which is calculated by dividing the number of correct answers (15) by the total number of questions (20) and multiplying by 100.
Percentage is a useful measure as it allows us to compare different amounts in relation to a whole, regardless of the absolute value of the numbers.
Learn more about percentage in brainly.com/question/29306119
#SPJ1
How many terms are in this expression?
u + 7 + 3 v
HELP
Answers
BRAINLISET BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST
number 16 and 17
justify each step
please answer quickly thank you
Answers
Then you divide each side by 3 to figure out that x=6.
17: multiply each side by 4 then divide each side by nine to figure out that x= -4
Question 1 (50 Marks) Sherpa Sensors Pty Ltd manufactures high-tech temperature sensors for various medical purposes, such as MRI imaging equipment and ultrasound scanners, and electronic applications
Answers
Sherpa Sensors Pty Ltd is a company that specializes in manufacturing high-tech temperature sensors for medical and electronic applications, including MRI imaging equipment and ultrasound scanners.
Sherpa Sensors Pty Ltd is engaged in the production of temperature sensors specifically designed for medical purposes and electronic applications. These sensors are used in various equipment, such as MRI imaging machines and ultrasound scanners, where precise temperature measurements are crucial for accurate and safe operation.
The manufacturing process of temperature sensors involves the use of advanced technologies and quality materials to ensure reliable and accurate temperature readings. These sensors are designed to be sensitive to temperature changes and provide real-time data for monitoring and control purposes in medical and electronic devices.
Sherpa Sensors Pty Ltd invests in research and development to continually improve the performance and efficiency of their temperature sensors. They collaborate with medical professionals and electronic engineers to understand the specific requirements and challenges of the industries they serve. This allows them to develop innovative sensor solutions that meet the stringent standards and demands of medical and electronic applications.
Sherpa Sensors Pty Ltd is a reputable manufacturer specializing in high-tech temperature sensors for medical and electronic applications. With their expertise and focus on quality and innovation, they contribute to the advancement of medical technology and electronic devices by providing reliable and accurate temperature measurement solutions.
To know more about temperature, visit;
https://brainly.com/question/28463594
#SPJ11
According to a recent survey. T3Yh of all tamilies in Canada participatod in a Hviloween party. 14 families are seiected at random. What is the probabity that wix tamilies participated in a Halloween paty? (Round the resut to five decimal places if needed)
Answers
The probability that six families participated in a Halloween party is 0.16859
As per the given statement, "T3Yh of all families in Canada participated in a Halloween party."This implies that the probability of families participating in a Halloween party is 30%.
Now, if we select 14 families randomly, the probability of selecting 6 families from the selected 14 families is determined by the probability mass function as follows:
`P(x) = (14Cx) * 0.3^x * (1 - 0.3)^(14 - x)`
where P(x) represents the probability of selecting x families that participated in a Halloween party.
Here, x = 6
Thus, `P(6) = (14C6) * 0.3^6 * (1 - 0.3)^(14 - 6)``
P(6) = 0.16859`
Hence, the probability that six families participated in a Halloween party is 0.16859.
To know more about Halloween party visit:
https://brainly.com/question/25171403
#SPJ11
Find the volume of this sphere.
Answers
Answer:
4ft^3
Step-by-step explanation:
1.333333*3*1^3=4
To start finding the volume of this sphere, we get the following data:
π = 3r = 2 ft²To find the volume we apply the following formula:
\(\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}\), wherev = volumeπ = pir = radiusWe substitute our data in the formula and solve:
Substituting values into the equation
\(\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}\)Calculate exponent cubed
\(\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}\)Multiplying
\(\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}\)Therefore, the volume of the sphere is 32 ft³.
Approximate the area under the graph of f(x) over the specified interval by dividing the interval into the indicated number of subintervals and using the left endpoint of each subinterval. f(x)=x^3+x^2+1; interval [0,4]; 4 subintervals
Answers
Hello there. To solve this question, we'll have to remember some properties about Riemann sums.
When approximating the area under the graph of a function, we can make a partition of the interval in regular sub-intervals (that divides the former interval in smaller intervals with the same length) and add the areas of the polygons under the graph.
Usually, taking the left endpoint can lead to an under or overestimation, depending on the behavior of the function over the interval (if it is increasing or decreasing, respectively).
So, when approximating the area under the graph of the function f(x) over the interval [a, b], we're partitioning the interval [a, b] into n regular subintervals with length:
\(\frac{b-a}{n}\)This is also called the forward difference between two points in the endpoints of the interval, also known as:
\(\Delta x\)When taking the left endpoints, we start on x = a and will add it up to
\(a+(n-1)\Delta x\)In other words, we'll add all x_i values inside the interval as follows:
\(\sum_{i=0}^{n-1}f(x_i)\cdot\Delta x\)Where:
\(x_0=a\)Okay. With this, we can solve the question.
We want to estimate the area under the graph of the function:
\(f(x)=x^3+x^2+1\)over the interval
\([0,4\rbrack\)using 4 subintervals (that is, n = 4).
First, we find a and b:
From the interval, we get
\(a=0,b=4\)Calculating the difference:
\(\Delta x=\dfrac{4-0}{4}=\dfrac{4}{4}=1\)Finally, plugging these informations in the sum:
\(\sum_{i=0}^{4-1}f(x_i)\cdot1=\sum_{i=0}^3{x_i}^3+{x_i}^2+1\)Remember, in this case:
\(\begin{gathered} \Delta x=x_1-x_0=1 \\ \text{ but }x_0=a=0,\text{ hence} \\ \\ x_1=1 \\ x_2=2\text{ and} \\ x_3=3 \end{gathered}\)So we get:
\(\sum_{i=0}^3{x_i}^3+{x_i}^2+1=1+1^3+1^2+1+2^3+2^2+1+3^3+3^2+1=1+1+1+8+4+1+27+9+1=54\)This might be the approximate area under this graph.
When we want to find the real area, we take the limit as n goes to infinity (the partition becomes big enough such that the intervals have infinitesimal length), hence:
\(\underset{n\rightarrow\infty}{\lim}\sum_{i=0}^{n-1}f(x_i)\cdot\Delta x=\int_a^bf(x)\,\mathrm{d}x\)Plugging the function and the lower and upper bounds, we get:
\(\int_0^4x^3+x^2+1\,\mathrm{d}x\)Solving this integral, we get:
\(\dfrac{x^4}{4}+\dfrac{x^3}{3}+x\biggr|_0^4=\dfrac{4^4}{4}+\dfrac{4^3}{3}+4=64+\dfrac{64}{3}+4=\dfrac{268}{3}\approx89.34\)Hence this is why this was a case of underestimation.
⅛ of a foot of fabric is needed to make a flag, while 9/11 of a foot of fabric is required to
make a coat. How much more fabric is needed to make a coat versus a flag?
Answers
another advantage of using anova is that it ________ so the significant differences can be located and interpreted easily.
Answers
Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.
The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.
Another important part of the ANOVA is the splitting of the independent variables into two or more groups.
The assumptions for the ANOVA test are the same as those for general parametric tests.
ANOVA can only be performed if there is no relationship between subjects in each sample. Sample size for different groups/levels must be the same.ANOVA can only be performed if the dependent variable is normally distributed.the population variances of must be equal (that is, homoscedasticity). Homogeneity of variance means that the variability of results is similar across populations.Advantages of ANOVA:
The z-test can only be used to compare two population means, whereas the ANOVA test can be used to compare three or more population means.When there are two different treatments/factors affecting the dependent variable, the Two Way ANOVA test can be used to analyze the effect of each treatment.To learn more about ANOVA test , refer:
https://brainly.com/question/15084465
#SPJ4
What is one of the major uses of physical geography?
Answers
Answer:
Its purpose is to understand how the Earth's physical environment is the basis for, and is affected by, human activity
Step-by-step explanation:
Identify whether the figure has rotational symmetry select yes or no
Answers
This is due in a couple minutes. Answer will get branliest!!
Answers
Answer:
\(\huge\boxed{\boxed{ \sf 0. {4x}^{2} - 3.2x + 5.7}}\)
Step-by-step explanation:
to understand thisyou need to know aboutquadratic equationsPEMDAStips and formulas:standard form:ax²+bx+cwe have to simplify it to get the standard formgiven:f(x)=0.4(x-4)²-0.7let's solve:\( \sf simplify \: squre : \\ 0.4( {x}^{2} - 8x + 16) - 0.7\)\( \sf distribute \: 0.4 : \\ 0.4 { x }^{2} - 3.2x + 6.4 - 0.7\)\( \sf \: substrack \\ 0. {4x}^{2} - 3.2x + 5.7\)and
we are done
A bicycle wheel makes 100 revolutions in moving 220 m. Find the radius of the wheel.
Answers
The radius of the wheel 0.35m
How to calculate the radius of the wheel?The number of revolutions is 100
The distance is 220 meter
Distance in one revolution= 220/100
= 2.2 meter
The radius of the wheel can be calculated as follows
radius= 2.2/2(3.142)
= 2.2/6.29
= 0.35
Hence the radius of the wheel is 0.35 meter
Read more on radius here
https://brainly.in/question/54291614
#SPJ1
The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the inscribed angle theorem. An alternative proof of this construction is shown below. Complete the proof.
Given: Circle C is constructed so that CD = DE = AD; CA is a radius of circle C.
Prove: AE is tangent to circle C.
Answers
Since angles CAD and CDE are both right angles, and angle CAE is equal to angle CDE, we can conclude that angle CAE is also a right angle. Therefore, AE is tangent to circle C at point A, as required.
What is tangent?A line that touches ellipses or circles only once is said to be tangential. Assuming a line contacts the curve at P, "P" is referred to be the point of tangency.
To prove that AE is tangent to circle C, we need to show that the angle CAE is a right angle.
First, we can use the fact that CD = DE to show that triangle CDE is isosceles, and therefore, angles CED and CDE are equal.
Next, since CA is a radius of circle C, we know that angle CAD is a right angle. Therefore, angle CAE is equal to the sum of angles CAD and DAE.
Using the fact that angles CED and CDE are equal, we can write:
angle DAE = angle CED = angle CDE
Substituting this into the expression for angle CAE, we get:
angle CAE = angle CAD + angle CED + angle CDE
= 90 degrees + angle CED + angle CED
= 90 degrees + 2 angle CED
Since triangle CDE is isosceles, angles CED and CDE are equal. Therefore, we can substitute either one of them for angle CED, and we get:
angle CAE = 90 degrees + 2 angle CED
= 90 degrees + 2 angle CDE
But the sum of angles in a triangle is 180 degrees. Therefore, we can write:
angle CED + angle CDE + angle DCE = 180 degrees
Substituting angle CED for angle CDE, we get:
2 angle CED + angle DCE = 180 degrees
Solving for angle CED, we get:
angle CED = (180 degrees - angle DCE) / 2
Substituting this into our expression for angle CAE, we get:
angle CAE = 90 degrees + 2 angle CED
= 90 degrees + 2 [(180 degrees - angle DCE) / 2]
= 180 degrees - angle DCE
Therefore, angle CAE is equal to the supplement of angle DCE. But since CD = DE, angles CDE and DCE are equal, and therefore, angle CAE is equal to angle CDE.
Since angles CAD and CDE are both right angles, and angle CAE is equal to angle CDE, we can conclude that angle CAE is also a right angle. Therefore, AE is tangent to circle C at point A, as required.
Learn more about tangent on:
https://brainly.com/question/17021184
#SPJ9
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =.
Answers
The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Then the scale factor will be
\(\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8\)
The scale factor is 8.
More about the dilation link is given below.
https://brainly.com/question/2856466
Answer:
The answer is 8:)
Step-by-step explanation:
What is the equation in slope-intercept form of a line (y = mx + b) that has aslope of 3 y-intercept of 6?
Answers
The equation of the line is y = 3x + 6
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3
y-intercept, c = 6
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = mx + c
So, we have
y = 3x + 6
Hence. the linear equation is y = 3x + 6
Read more about linear equation at
https://brainly.com/question/14323743
#SPJ1
A popular roller coaster ride lasts 8 minutes. There are 24 people on average on the roller coaster during peak time. How many people are stepping onto the roller coaster per minute at peak time? Multiple Choice A) 24 B) 6 C) 3 D) 8
Answers
An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.
To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:
Number of people per minute = Number of people on the roller coaster / Duration of the ride
Number of people on the roller coaster = 24
Duration of the ride = 8 minutes
Number of people per minute = 24 / 8 = 3
Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.
Learn more about average visit:
brainly.com/question/24057012
#SPJ11
An animal shelter with only dogs and cats has a ratio of cats to dogs thats 9:7. What is the ratio of dogs to all animals?
Answers
The ratio of dogs to all animals is 7:16.
The total ratio of cats and dogs is 9 + 7 = 16.
The number of dogs present in the shelter is 7k, where k is a positive integer.
The number of cats present in the shelter is 9k, where k is a positive integer.
The total number of animals present in the shelter is 7k + 9k = 16k.
Therefore, the ratio of dogs to all animals is 7k : 16k, which simplifies to 7 : 16.
An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.
The ratio of dogs to all animals is 7:16.
To learn more about Ratio, refer to:
https://brainly.com/question/29648474
#SPJ11
In the figure below, Z is the center of the circle. Suppose that QR = 14, SR = 14, UZ = 3x + 5, and VZ = 23. Find the following.
Answers
Answer:
x=6
Step-by-step explanation:
VZ=UZ
3x+5=23
3x=18
x=6
0.582 times 10 what is value of the 2
Answers
Answer:
5.82
Step-by-step explanation:
0.582 x 10
=> Shift the decimal place by 1
=> 5.82
The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
To determine the value of 2 in the product of 0.582 times 10.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.
Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
What is the domain of the relation?
Answers
Answer:
Domain: 3, 6, 8, 9, 7
Step-by-step explanation:
Domain: 3, 6, 8, 9, 7
(Domain, Range)
The domain of a function or relation is the set of all possible independent values the relation can take.
Hope this helps :)
Answer:
Domain: {3, 6, 8, 9, 7}
Step-by-step explanation:
A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:
Domain: {3, 6, 8, 9, 7}.
Use polar coordinates to find the volume of the given solid.
Below the cone z = √x² + y² and above the ring 1 ≤ x² + y² ≤ 64
Answers
To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.
The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.
To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.
The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.
To learn more about polar coordinates click here:
brainly.com/question/13103661
#SPJ11
one instructor believes that students take more than 2 classes per quarter on average. he randomly interviewed a class of 16 students and found out the mean number of classes per quarter is 2.3 classes and standard deviation of 0.8. assume alpha is 0.01. (c) what is the rejection region?
Answers
if the test statistic falls outside this range, we would reject the null hypothesis and conclude that students take more than 2 classes per quarter on average.
The rejection region is the set of values that, if the test statistic falls within it, would lead us to reject the null hypothesis. In this case, the null hypothesis is that students take an average of 2 classes per quarter.
To determine the rejection region, we need to find the critical value corresponding to the given significance level. Since alpha is 0.01 and the sample size is 16, we can use the t-distribution with n-1 degrees of freedom.
Using a t-distribution table or calculator, we find that the critical value for a two-tailed test at alpha = 0.01 and 15 degrees of freedom is approximately ±2.947.
The rejection region consists of the values outside the interval (-∞, -2.947) and (2.947, ∞).
Learn more about rejection region here:
https://brainly.com/question/32282270
#SPJ11
the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
Answers
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
To know more about level of significance here.
https://brainly.com/question/13947717
#SPJ4
What is the absolute value of - 35?
Answers
Answer:
35.
Step-by-step explanation:
The term "absolute value" asks for the number without any negativity, e.g. distance. Even if you go backwards from your original spot, you still move.
a data set has its first and third quartiles as 9 and 17 respectively. Which of the following data points would be considered an outlier for the data set
A. 27
B. 17
C. 3
D. 41
In which of these cases should the mean be used?
A. When the data is left-skewed
B. When the data is symmetric
C. When the data is right-skewed
D. When the data has extreme values
Answers
To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).
We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:
IQR = Q3 - Q1 = 17 - 9 = 8
To identify outliers, we can use the following rule:
- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.
Using this rule, we can evaluate each data point:
A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).
C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.
D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.
Therefore, the outliers in the data set are A (27) and D (41).
As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.
Therefore, the correct option would be B. When the data is symmetric.
To know more about outlier refer here:
https://brainly.com/question/26958242#
#SPJ11
A cylinder has a radius of 16 inches. Its volume is 13,665. 28 cubic inches. What is the height of the cylinder?
Use ≈ 3. 14 and round your answer to the nearest hundredth
Answers
The height of the cylinder is 17.00 inches, under the given condition that radius of the cylinder is 16 inches, volume is 13,665. 28 cubic inches and have to round the answer to the nearest hundred.
Therefore, the volume of a cylinder is given by V = πr²h
Here,
V= volume of the cylinder,
r= radius of the cylinder
h= height
Given that the radius of the cylinder is 16 inches and its volume is 13,665.28 cubic inches, then we can proceed to evaluate the height of the cylinder
V = πr²h
h = V / (πr²)
h = 13665.28 / (π(16)²)
h = 13665.28/ 3.14 x (256)
h = 13665.28/ 803.8
h = 17.00 inches
Then, the height of the cylinder is approximately 17.00 inches.
To learn more about volume
https://brainly.com/question/27710307
#SPJ4
The plane with equation r= (1, 2, 3) + m(1, 2, 5) + n(1, 1, 3), m, n e R, intersects the x- and z-axes at the points A and B respectively. Determine the Cartesian equation of the line that contains these two points.
Answers
The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.
To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.
Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.
to learn more about Cartesian equation click here:
brainly.com/question/27927590
#SPJ11
suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.
The equation 0.75v+0.95s=b represents this constraint.
Solve 0.75v+0.95s=b for v
When would it be most helpful to use this equation?
Answers
Answer:
v = b/0.75 - 0.95s/0.75
Or
v = (b - 0.95s) / 0.75
Step-by-step explanation:
Solve 0.75v + 0.95s = b for v
This means making v the subject of the formula
0.75v + 0.95s = b
Subtract 0.95s from both sides
0.75v + 0.95s - 0.95s = b - 0.95s
0.75v = b - 0.95s
Divide both sides by 0.75
v = (b - 0.95s) / 0.75
v = b/0.75 - 0.95s/0.75
The equation will be useful in determining the number of vegetarian