the triangle in the diagram are similar. how long will the footbridge be
Enter the values for a and b that complete
the sum:
A-
b-
Answer:
[tex]a=3[/tex] and [tex]b=5[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.
Let us make a common denominator:
[tex]\frac{3*x}{x*x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
[tex]\frac{3x}{x^2}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
Add numerators:
[tex]\frac{3x+5}{x^2}=\frac{ax+b}{x^2}[/tex]
Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.
solve for K. I TRIED MANY TIMES TO GET IT RIGHT BUT I STILL GET STUCK WHEN I AM CLOSE TO FINDING THE ANSWER!!!!
m=1/k+n
simplify 1-2 (-3+x) +x
A triangular prism is 14.3 millimeters long. It has a triangular face with a height of 12 millimeters. The volume of the prism is 1,123.98 cubic millimeters. What is the base of its triangular face?
Answer
13.1 millimeters
Explanation
The volume of any regular object is found by;
Volume = base area × length.
In the question, the base is a triangle of height 12 millimeters and a base length L.
The length of the prism is 14.3 millimeters.
∴ Volume = base area × length.
1,123.98 = (1/2 × 12 × L) × 14.3
1,123.98 = 85.8 L
L = 1,123.98/85.8
= 13.1 millimeters
Mike owns two hardware stores. The scatter plots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatter plots.
answer A
with the help of scatter plot we can calculate the revenue collection of the two stores
for store 1, revenue collection is 35100
for store 2, revenue collection is 29800
so, store 1 has more revenue collection than store 2
Which statement correctly shows the relationship found in Euler's formula?
Answer:
V + F = E + 2
The statement correctly shows the relationship found in Euler's formula is F + V - E = 2.
What is euler's formula?For any real value θ, we have:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
We are given that;
Euler's formula states that for any convex polyhedron (a 3-dimensional solid with flat faces and straight edges), the number of faces (F), vertices (V), and edges (E) are related by the formula:
F + V - E = 2
One possible statement that correctly shows the relationship found in Euler's formula is:
"The number of faces, vertices, and edges in a convex polyhedron are related by Euler's formula, which states that F + V - E = 2."
Therefore by euler's formula the answer will be F + V - E = 2.
To learn more about euler's formula visit;
https://brainly.com/question/12274716?referrer=searchResults
#SPJ3
Theodore works for Mr. Jones. Mr. Jones agreed to start Theodore at $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day, and so on.
`
a. How much does Theodore earn in fifteen days?
b. Suppose Theodore can start at $10 the first day, $10.75 the second day, $11.50 the third day, $12.25 the fourth day, and so on. Would he earn more in fifteen days than he does in part(a)? Explain.
How many liters of a 10% saline solution must be added to to 4 liters of a 40% saline solution to obtain a 15% saline solution? A)20 L B)4 L C)2 L D)48 L Plz explain the steps and how to get answer
In each of the equations or inequalities below, find all the integer values of x that make the equation or the pair of inequalities true. Explain reasoning for each part.
Part A: |x|=17
Value Of X:
Part B: |x+9|=15
Value Of X:
Part C: |x-10| ≤ 13 and |x-10| ≥ 9
(Find the values of x that make both inequalities true)
Values of X:
I need the answer for B! whoever answers first will get a brainliest, a thanks, and 50 points! also plz tell me how you got the answer
Brandon is baking cookies for a school bake sale. If he can make 2 dozen cookies in 23 minutes which is a reasonable estimate of the amount of time it will take him to make 12 dozen cookies? A) between 4 and 5 hours B) between 3 and 4 hours C) between 2 and 3 hours D) between 1 and 2 hours
Answer:
The answer would be C.
Step-by-step explanation:
Sabrina makes a pan pizza for the party she cuts the pizza into10 equal pieces after the party there was 5/10 of the pan pizza left write the fraction 5/10 as a product of a whole number and a unit fraction.
Number of pieces Pizza is cut is given as 10.After the party some pizza is left and some consumed .
Amount if pizza consumed in fractions is given as [tex] \frac{5}{10} [/tex]
The fraction can be reduced to simplest or lowest form by finding the common factor of numerator and denominator .Numerator is 5 and denominator is 10.
Both 5 and 10 can be divided by the common factor 5.
We have [tex] \frac{5}{10} =\frac{1}{2} [/tex]
The fraction can be written as [tex] \frac{1}{2} [/tex] in its lowest form or thei equals 0.5 in decimal .
emma drives 1/4 of the way to work and uses 1/9 gallon of gas what fraction of the distance can she drive to work which one gallon of gas?
Emma can drive 1/4 of the distance to work with one gallon of gas.
Explanation:To find out what fraction of the distance Emma can drive to work with one gallon of gas, we need to find the fraction of the distance she can drive with 1/9 gallon of gas and then multiply it by the number of gallons in one gallon.
Emma drives 1/4 of the way to work and uses 1/9 gallon of gas. So, she can drive 1/4 * 1/9 = 1/36 of the distance to work with 1/9 gallon of gas.
To find the fraction of the distance she can drive with one gallon of gas, we multiply 1/36 by the number of gallons in one gallon: 1/36 * 9/1 = 9/36 = 1/4.
Therefore, Emma can drive 1/4 of the distance to work with one gallon of gas.
Use a strategy for the following problem(and I seriously need help!!):
In a sequence of numbers, each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, the first term is 1, the second term is 3, the third term is 5, the fourth term is 7 and the fifth term is 9. In another sequence, the first term is 26. If a term in the sequence is even, then the next term will be half the value of that term. If a term in the sequence is odd, then the next term in the sequence is one more than three times that term. By following these rules, the first three terms of this sequence are 26, 13 and 40. Is the twenty-sixth term of the sequence odd or even. Justify your answer.
20 points and brainliest if correct
Which function grows at the fastest rate for increasing values of x?
g(x)=2.5x
h(x)=9.5x2
f(x)=8.5x+3
What are two different ways of factoring –3x – 9? Select all that apply. A. –3(x + 3) B. 3(x + 3) C. 3(–x – 3) D. –3(x – 3)
Answer:
A and C
Step-by-step explanation:
Two different ways of factoring -3x - 9 are:
A. -3(x + 3)
C. 3(-x - 3)
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
To factor -3x - 9, we can rewrite it as -3(x + 3) or 3(-x - 3).
Both of these expressions are in the form of a product of a constant and a binomial (a polynomial with two terms).
Option A, -3(x + 3), can be obtained by applying the distributive property, which states that we can multiply a constant by each term in a binomial to obtain the product.
In this case, we have -3 × x + -3 × 3 = -3x - 9.
Option C, 3(-x - 3), can also be obtained using the distributive property. In this case, we have 3 × -x + 3 ×-3 = -3x - 9.
Option B, 3(x + 3), is incorrect because the coefficient of the x term is positive, whereas in the original expression it is negative.
Option D, -3(x - 3), is also incorrect because the coefficient of the x term is negative, whereas in the original expression it is positive.
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ2
a function FX is described by the ordered pairs X Y if if the given function is translated 2 units to the right and then reflected across the x axis what are the ordered pairs that describe the transformed function
End time 10:30 elapsed time 3/4 of an hr what is starting time
Find the outlier of the set of data: 80, 71, 75, 69, 74, 17, 82 A. 82 B. 81 C. 74 D. 17
Answer:
Use the drop-down menus to identify the key values of the box plot.
The median is
✔ C
.
The minimum is
✔ A
.
The maximum is
✔ E
.
The lower quartile (Q1) is
✔ B
.
The upper quartile (Q3) is
✔ D
.
Step-by-step explanation:
i took the test
What Happened To The Guy Who Fell Into an Upholstery Machine
The question is about what happened to someone who fell into an upholstery machine. Physics principles such as Newton's laws of motion can explain the outcome of the incident.
Explanation:The question is about an incident where someone fell into an upholstery machine. Since it involves a physical event, the subject of this question is Physics, specifically related to forces and motion.
In this case, we can use the principles of Newton's laws of motion to explain what happened to the person who fell into the upholstery machine. The person's motion and the forces acting upon them would determine the outcome of the incident.
Learn more about Physics here:https://brainly.com/question/32123193
#SPJ12
Which of the following statements are equivalent to the statement "price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Plssss help me!!
Answer:
A G
Step-by-step explanation:
because when the price is doubled that means it increases by 100%
and when the price is 200% of what it was befor means it is also doubled
The ages of two groups of yoga students are shown in the following dot plots:
A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.
The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?
Group P has less variability in the data.
Group P has greater variability in the data.
Group Q has a lower range.
Group Q has a lower mean.
Answer Group P has less variability in the data.
Actually you can have a d for any class because during science class in the 7th grade i had a D soo not trying to cause problems also but your grade has to be a 60 or above to pass and to fail is 59 and lower so
Step-by-step explanation:
The line plot and the bar graph show the same test scores. Where should you look to find the least common test score?
The shortest column of the line plot
The least common test score from the graphs is 70.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A line plot shows the frequency of data, in short it shows how many times something has occurred or the number of times data occurs in a group of data.
The number of data is represented by markers or in this case "x"s. The more x's along the column, the more times it occurred.
The bar graph there does not show the frequency of the different scores. This shows the relationship between the test number and the percentage of the scores obtained. It does not tell you the individual scores obtained.
The least common test score is 70
Hence, the least common test score from the graphs is 70.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
The following points for a function are graphed in the coordinate plane: (0,4), (1,5), (2,6), and (3,7). What function is being graphed?
a. y=x
b. y=2x+3
c. y=x+4
d. 3x+4
Answer:
c
Step-by-step explanation:
The correct function is,
⇒ y = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
Now, We know that;
All the points are satisfy the function.
Hence, By options c;
y = x + 4
Put x = 0, y = 4
y = x + 4
4 = 0 + 4
4 = 4
Hence, The correct function is,
⇒ y = x + 4
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ3
what is 9.03×10^2 in standard form
The value of the exponent number in standard from is A = 903
What is Exponential Form?The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
It is often used in mathematics and science to represent large or small numbers more efficiently. It can also be used to simplify certain mathematical operations, such as multiplication and division, by using the properties of exponents.
Given data ,
Let the exponential form of the number be A
Now , the value of A = 9.03×10²
To convert 9.03×10² to standard form, we need to multiply the number by the appropriate power of 10 so that it is expressed as a number between 1 and 10.
Starting with 9.03×10² , we can move the decimal point two places to the right to get:
9.03×10^2 = 903
So the standard form of 9.03×10² is simply 903
Hence , the standard form is A = 903
To learn more about exponential form click :
https://brainly.com/question/29337692
#SPJ2
martin climbs 3 1/3 meters in the first 1/6 hour alexia climbs 17 1/2 meters in the first 5/6hour what is the rate martin and alexia climbed show workkk
In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how many more people attended the concert in the second city by rounding to the nearest hundred and then subtracting.
Approximately 5,700 more people attended the concert in the second city.
To estimate how many more people attended the concert in the second city, we can round the attendance numbers to the nearest hundred and then subtract the smaller number from the larger one. For the first city, 3,546 people rounds off to 3,500 people, and for the second city, 9,238 people rounds off to 9,200 people. Now we subtract the rounded number of the first city from the rounded number of the second city.
So, 9,200 (rounded attendance in the second city) minus 3,500 (rounded attendance in the first city) equals 5,700.
Therefore, approximately 5,700 more people attended the concert in the second city.
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
7w3+8t2u2–2t2u2–4t2u2
Which equation best represents a trend line for the scatter plot?
y=−3/7x+4
y=3/7x+4
y=−7/3x+4
y=7/3x+4