56.35 km/h
1) Since 1 mile = 1.61 km we can write out the following expression:
\(\text{mph }\cdot1.61=\frac{km}{h}\)2) 35 mph x 1.61 = 56.35 km/h
3) Hence, 35 mph is equivalent to approximately 56.35 km/h
Aiden runs a farm stand that sells apples and strawberries. Each pound of apples sells
for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a
total of 35 pounds of apples and strawberries. Write a system of equations that could
be used to determine the number of pounds of apples sold and the number of pounds
of strawberries sold. Define the variables that you use to write the system.
Answer:
Step-by-step explanation:
A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?
A boat departs Port Arthur, Texas
Answer: i don't even know
Step-by-step explanation:
Find the probability that the product is a multiple of 3
The probability that the product is a multiple of 3 is given as follows:
p = 7/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are four numbers, hence the total number possible products are given as follows:
4² = 16.
The products that are multiples of 3 are given as follows:
1 x 3 = 3.2 x 3 = 6.3 x 1 = 3.3 x 2 = 6.3 x 3 = 9.3 x 4 = 12.4 x 3 = 12.7 products are multiples of 16, out of the 16 products, hence the probability is given as follows:
p = 7/16.
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(+4) + (+9) + (+8) =
(+4) + ( -6) + (+8) =
5 ) ( -2) + (+5) + (+2) =
(+7) + (+2) + ( 0) =
Answer:
Question 1: 21
Question 2: 6
Question 3: -3
Question 4: 9
please help me with this question
Answer:
f(x) = (x-5)(x+2)^2
Step-by-step explanation:
use desmos graphing calculator! it's very helpful and free :)
Answer:
From the graph,
The zeros of the function are at x= -2 and x= 5
But since at root -2,it doesn't cross the x axis, the root has even multiplicity
Ans:(x+2)^2 (x-5).....option B
What is 6/6 as a mixed number
6/6 can't be a mixed number.. it's simply just 1.
What two words describe the result set of a FULL OUTER JOIN minus the INNER JOIN result set in set theory parlance
Answer:
CROSS JOIN (/^\s*symmetric\s*difference\s*$/)
Step-by-step explanation:
Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.
In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.
A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate of the jet in still air and what is the rate of the wind
9514 1404 393
Answer:
jet: 650 mphwind: 65 mphStep-by-step explanation:
The speed against the wind is ...
4680 mi/(8 h) = 585 mi/h
The speed with the wind is ...
5720 mi/(8 h) = 715 mi/h
The speed of the airplane in still air is the average of these speeds:
(585 +715)/2 = 650 mi/h . . . speed in still air
The speed of the wind is the difference between the airplane speed and the speed in the wind:
715 -650 = 65 mi/h . . . speed of the wind
_____
Additional comment
If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...
p + a = with
p - a = against
If we average these, we get ...
((p +a) +(p -a))/2 = (with + against)/2
p = (with + against)/2 . . . . . . . the formula we used above
Do anyone knows it? X x 5 x y
Answer:
it is 5xy........................
Answer:
so X x 5 x y
that would equal 5xy
hope this helped
Step-by-step explanation:
Growth models question
The recursive formula for this problem is given as follows:
\(P_n = 1.05 \times P_{n - 1}\)
The explicit formula for this problem is given as follows:
\(P_n = 150(1.05)^n\)
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n}\)
In which \(a_1\) is the first term.
The parameter values for this problem are given as follows:
\(a_1 = 150, q = 1.05\)
Hence the function is given as follows:
\(P_n = 150(1.05)^n\)
2026 is 14 years after 2012, hence the number of tickets is given as follows:
\(P_{14} = 150(1.05)^{14} = 297\)
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The surface area of a triangular prism is 34 square inches. What is the surface area of a similar prism with dimensions that are 3 times as great as the original prism?
Answer:
306 square inches
Step-by-step explanation:
The surface are of a triangular prism is given as:
A = ab + 3bh
where a = Length of side
b = base length
h = height of the prism
If the dimensions are 3 times as great, that means a becomes 3a, b becomes 3b and h = 3h
Therefore, the new surface area becomes:
A1 = (3a * 3b) + 3(3b * 3h) = 9ab + 27bh
A1 = 9(ab + 3bh)
=> A1 = 9A
The surface area of the initial prism is 34 square inches, therefore, the surface area of the new prism will be:
A1 = 9 * 34 = 306 square inches
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
\(M = t\frac{s}{\sqrt{n}}\)
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
which variable is ordinal?
Answer:
Categorical variable
Step-by-step explanation:
An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
How many BTUs are required to change five pounds of water at 40°F to 200°F?
Answer:
"6,520 BTU/h"
Step-by-step explanation:
"6,520 BTU/h" are required to change five pounds of water!!!!!!!!!!!!!
What are the next three terms in the sequence 2.0, 3.5, 5.0, 6.5, ... ?
A local animal shelter needs your help with its budget. Last week, the shelter fed 20 cats
and 12 dogs, a feat that cost them $532. This week, the shelter fed 13 cats 9 dogs, which
cost them $371. How much does it cost the shelter to feed each cat for a week? Each
dog?
Brainliest, 30 pts, thanks, 5 star guarantee.
The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
The reflection does not change the shape and size of the geometry. But flipped the image.
The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.
The diagram is given below.
A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.
Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
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As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
The sum of the square root of a number and six
Answer:
√9
Step-by-step explanation:
√9 because 3×3 =9
and the sum of the number 3+3=6
3 is the number
Country A has an exponential growth rate of 4.3% per year. The population is currently 4,079,000, and the land area of Country A is 19,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
The number of years it would it take for there to be one person for every square yard is 108,325.68 years.
How many years would it take for there to be one person for every square yard?When there is one person for every square yard, it means that the population and land area are equal in value.
Number of years = (In FV / PV) / r
FV = future populationPV = present populationr = rate of growth(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years
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Graph the line with slope 2/3
passing through the point (3,-1).
The graph of the line with slope 2/3 and passing through the point (3,-1) is given by
What is an equation of the line?
An equation of the line is a way of representing the set points which form a line in coordinates system. A basic equation of line is y=mx+c
We are given the slope of line as 2/3 and the line passes through the point (3,-1)
We substitute the values in slope intercept form we get
\(-1=\frac{2}{3}*3 +c\\c=-1-2\\c=-3\)
Substituting the value of c in the original equation we get
y=2/3x-3
Hence the plot the graph of the above equation
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Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
Solve 2 a 2 − 5 a − 25 = 0 by factoring. Enter your answers below a = or a =
Answer:
a=5, a=-2.5
Step-by-step explanation:
Given:
\(2 a^2 - 5 a - 25 = 0\)
Solution:
\(a_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-25\right)}}{2\cdot \:2}\)
\(a_{1,\:2}=\frac{-\left(-5\right)\pm \:15}{2\cdot \:2}\)
\(a_1=\frac{-\left(-5\right)+15}{2\cdot \:2},\:a_2=\frac{-\left(-5\right)-15}{2\cdot \:2}\)
\(a=5,\:a=-2.5\)
~Lenvy~
Written expression for the sum of d and 9
Hey!!
Here's your answer:
Answer:d+9
Hope it will help you....
Good luck on your assignment
A company studied how much they pay employees. They found the mean and median annual salaries. These values are given in the table.
Annual Salary Data
Mean Annual Salary $62,000
Median Annual Salary $35,000
Which measure of center is best to describe salaries at the company? Select the statement that BEST explains your choice.
a. the mean, because people who earn too little make the median too small
b. the mean, because most workers earn a salary that is near this value
c. the median, because it is the measure of center with the lower value
d. the median, because people who earn a lot make the mean too large
The measure of the centre that best describes salaries at the company is the median because people who earn a lot make the mean too large.
In contrast to the mean, the median reflects the midway value in a collection of data and is unaffected by extreme values. The median annual wage in this situation is $35,000, meaning that half of the employees make less than this amount and the other half make more. Because it offers a typical value unaffected by the excessive incomes of a few high earners, this is a helpful measure of the middle.
On the other hand, the high values or outliers have an effect on the mean, and in this case, the mean yearly salary is $62,000. This demonstrates how a small group of people with high salaries may have pushed the numbers towards the top end. As a result, the median is a better way to express the range of incomes in the organisation.
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pls help help help please help
Answer:
z
Step-by-step explanation:
Evaluate the expression: −(8 − 12) + 60 + (−4)2.
Answer: 80
Step-by-step explanation:
⇒ −(8 − 12) + 60 + (−4)²
⇒ -(-4) + 60 + 16
⇒ 4 + 60 + 16
⇒ 80
f(x)=x2-4x-14How would you graph the function?Be sure to include all defining characteristics of the quadratic function in yourexplanation (vertex, min/max, axis of symmetry, -intercept, -intercepts, domain,range).
SOLUTION:
\(f(x)=x^2-4x-14\)The x-intercepts are
\(2+3\sqrt{2},\text{ }2-3\sqrt{2}\)The vertex is the point
\((2,-18)\)The minimum occurs at x = 2, its value is - 18
The axis of symmetry is the line x = 2
The y-intercept is the point ( 0, -14)
The domain is;
\((-\infty,\infty)\)The range is;
\((-18,\infty)\)