The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)
How to calculate the value?It should be noted that an expression is used to show the relationship between the variables involved.
In this case, the appropriate value in the box will be 4. This will be illustrated as:
= 4(5x + 6)
= 20x + 24
In conclusion, the value is 4.
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
Learn more about estimates in https://brainly.com/question/17961193
#SPJ1
A male patient takes a popular sleeping pill that contains 0.025 grams of diphenhydramine
hydrochloride per tablet. If he takes the pill for a week, how much diphenhydramine
hydrochloride has he ingested?
Answer:
0.175
Step-by-step explanation:
0.025×7=0.175
plzz mark me brainlest, need it to level up
piece of material measures 38 inches Courtney cuts the piece of material into two pieces one piece measures 19 inches write an addition equation that could be used to find the length of the other piece of material
An addition equation that could be used to find the length of the other piece of material is,
38 = 19 + x.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
A piece of material measures 38 inches.
Courtney cuts the piece of material into two pieces.
One piece measures 19 inches.
Let x be the length of other pieces.
An addition equation that could be used to find the length of the other piece of material is,
38 = 19 + x
Therefore, 19 + x = 38 is an addition equation.
To learn more about the addition;
brainly.com/question/29464370
#SPJ1
What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
To know more about geometric progression follow
https://brainly.com/question/12006112
#SPJ1
Find two consecutive odd integers such that the sum of their squares is 34.
The consecutive odd integers such that the sum of their squares is 34 are 3 and 5.
The square of the 3 is 9.
The square of the 5 is 25.
and both are the consecutive in the number line and their sum is 34 which satisfy the given statement.
To know about more consecutive https://brainly.com/question/537266
#SPJ1
A gardener has 75 clients, 45% of whom are businesses. Find the number of business clients.
Answer:
33,75 clients(huh?)
Step-by-step explanation:
75 / 100 = 0,75(1% of all clients)
0,75 * 45 = 33,75(number of business clients)
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.
Required:
Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.
The standard errors are given by:
\(s_A = \frac{1.79}{\sqrt{18}} = 0.4219\)
\(s_B = \frac{1.95}{\sqrt{18}} = 0.4596\)
For the distribution of differences, the mean and the standard error are given by:
\(\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76\)
\(s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239\)
The interval is given by:
\(\overline{x} \pm ts\)
The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.
Then:
\(\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058\)
\(\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462\)
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check https://brainly.com/question/16162795
Hey guys.so Im a teacher and I want to know how I do this thing
Answer: you read the ? and u answer
Step-by-step explanation:
Find the value of the trigonometric ratio. Simplify the ratio if possible.
(Hint: You may need to use some pythagorean theorem first!)
Step-by-step explanation:
Given that,
BC = 8
Ac = 15
We can find AB using the pythagoas theorem.
\(AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17\)
We know that,
\(\cos\theta=\dfrac{B}{H}\), B is base and H is Hypotenuse
\(\cosB=\dfrac{8}{17}\)
Hence, this is the required solution.
HELPPP FOR 100 points plsss
Answer:
a. YES
b. YES
c. NO
d. YES
Step-by-step explanation:
\(\frac{7^6}{7^3}\) simplifies to \(7^3\)
a:
Let's simplify this:
(\(7^9\))(\(\frac{1}{7^6}\))
Now:
\(\frac{7^9}{7^6}\)
Which equals:
\(7^3\)
So, YES
b:
Simplify this one:
\(\frac{1}{7^8} / \frac{1}{7^1^1}\)
Or:
\((\frac{1}{7^8})(7^1^1)\)
Which simplifies to:
\(7^3\)
So, YES
c:
Simplifies to:
\(\frac{7^8}{7^4}\)
Which equals:
\(7^4\)
So, NO
d:
This simplifies to:
\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)
So, YES
15. How many tenths are there in 4/5?
Answer:
8
Step-by-step explanation:
(4/5) / (1/10)
(4/5) * 10 = 40/5 = 8
5x is 6 more than 12y
Answer:
5x=6+12y or 5x=12y+6
Step-by-step explanation:
The expression that matches the statement "5x is 6 more than 12y" can be written as 5x = 12y + 6.
Variables:
In this expression, "x" and "y" are variables.
Variables are symbols that can take on different values.
The specific values of "x" and "y" unless they are provided or defined in a given context.
Equality:
The equal sign "=" in the expression indicates that the expression on the left side is equal to the expression on the right side.
This means that whatever value we assign to "x" and "y," the expression's left and right sides will have the same value.
Operations:
The expression involves mathematical operations.
On the left side, we have "5x," which means "5 times x" or "5 multiplied by x."
On the right side, we have "12y + 6," which means "12 times y plus 6."
Relationship between 5x and 12y + 6:
The expression states that "5x" is equal to "12y + 6."
This means that if we take any value of "x" and plug it into "5x,"
it will be equal to the value obtained by taking any value of "y," multiplying it by 12, and then adding 6 to the result.
Therefore, 5x = 12y + 6 represents a expression between the variables x and y as per given statement.
learn more about expression here
brainly.com/question/34132400
#SPJ2
The above question is incomplete, the complete question is:
Write the expression that matches the statement 5x is 6 more than 12y.
Oat porridge is sold in two sizes of box.
Size of box Weight of porridge
small
large
6259
350g
Walter buys 5 large boxes of oat porridge and some small ones too.
In total, he buys 4175g of porridge.
Work out the number of small boxes of oat porridge Walter buys.
Note: Make your final answer clear by writing ... small boxes.
Total marks: 3
Answer:
3 boxes of small porridge
Step-by-step explanation:
625g x 5 = 3125
4125-3125=1000
1000 divided by 350 = 2.8
so there will be 2 full boxes of small porridge and 1 not full box of porridge.
Walter buys 3 small boxes of oat porridge.
What is an expression?When used to represent a quantity or a mathematical relationship, symbols and/or numbers are combined to form an expression in mathematics. It may contain exponents, brackets, variables, constants, and mathematical operations like addition, subtraction, multiplication, and division.
To begin, let's determine how much porridge is contained in the five enormous boxes:
5 x 625 = 3125g
Determine how much porridge is contained in the little boxes since we know that Walter purchases 4175g in total.
4175 - 3125 = 1050g
Assuming that there are 350g of porridge in each small box, we can calculate the number of small boxes by dividing the total weight of the porridge by the weight of each small box:
1050 / 350 = 3
Therefore, Walter buys 3 small boxes of oat porridge.
To know more about an expression follow
https://brainly.com/question/2528625
#SPJ2
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
For such more question on equation:
https://brainly.com/question/17145398
#SPJ8
Write each expression in radical form
\(\sqrt[4]{6^5}\)
Step-by-step explanation:
This expression in radical form :4√65 =2.838412A population, f(x), after x years may be modeled with f(x)=2(3)^x. What is the initial amount , growth rate, domains and range?
2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is:
f(x) = 2(3)ˣ
To find the initial amount, we need to find f(0):
f(0) = 2(3)⁰ = 2(1) = 2
So the initial amount is 2.
To find the growth rate, we can use the formula:
growth rate = (f(x) - f(0)) / f(0) × 100%
= (2(3)ˣ - 2) / 2 × 100%
= (3ˣ - 1) × 100%
So the growth rate is (3ˣ - 1)×100%.
The domain of the function is all real numbers because the function is defined for all values of x.
The range of the function is all positive real numbers because the function is always positive for any value of x.
Specifically, the range of the function is (0, infinity).
Hence, 2 is the initial amount, growth rate is (3ˣ - 1) × 100% , domain of the function is all real numbers and range of the function is all positive real numbers
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ2
Try These questions out and I’ll give you brainliest
The expressions are simplified to;
1. 72n² + 63n
2. 18t - 18t²
3. -18b² - 18b
4. -56r - 21r²
5. -6m + 9m²
What are algebraic expressions?Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.
These algebraic expressions are also made up of mathematical or arithmetic operations.
These operations are;
BracketParenthesesAdditionMultiplicationDivisionSubtractionFrom the information given, we have;
1. -9n (-8n -7)
expand the bracket
72n² + 63n
2. -2t(-9 + 9t)
expand the bracket
18t - 18t²
3. -3b(6b + 6)
expand the bracket
-18b² - 18b
4. -7r(8 + 3r)
expand the bracket
-56r - 21r²
5. 3m(-2 + 3m)
expand the bracket
-6m + 9m²
Learn more about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
Pls help me I need this real quickly
Answer:
can you take another picture its blurry
Step-by-step explanation:
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Title
34.8 + 6.879 -
4
The ratio of boys to girls in the school choir is 5:4. If there
are 12 girls in the choir
, how many students are in the
choir?
45% of 75 -
The ration of boys to girls in the class is 3:4 if there are 12 girls I. The class how many students are there ?
Answer:
Step-by-step explanation:
Solve for y. 105 = 5y + 15 Simplify your answer as much as possible.
Answer:
y = 18
Step-by-step explanation:
Re-arrange: 5y + 15 = 105Subtract 15 from each side, so it now looks like this: 5y = 90Divide each side by 5 to cancel out the 5 next to y. It should now look like this: y = 18I hope this helps!
Answer:
y=18
Step-by-step explanation:
105 = 5y + 15
-15 -15
90 = 5y
/5 /5
y = 18
convert an effective rate of 14,5% per annum, to a nominal rate per annum compounded half yearly
The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.
To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:
Nominal rate \(= (1 + r/m)^m - 1\)
Where:
r = effective rate
m = number of compounding periods per year
In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.
Since compounding is done semi-annually, m would be 2.
Plugging in the values:
Nominal rate \(= (1 + 0.145/2)^2 - 1\)
Simplifying the expression inside the parentheses:
Nominal rate \(= (1 + 0.0725)^2 - 1\)
Calculating the exponent:
Nominal rate \(= (1.0725)^2-1\)
Performing the calculations:
Nominal rate = 1.14900625 - 1
Nominal rate = 0.14900625
Converting the nominal rate to a percentage:
Nominal rate = 14.900625%
For similar question on nominal rate.
https://brainly.com/question/28971185
#SPJ8
Need answers please help
Answer
Yes, zero is contained in the interval
I need help plz help me
Answer:
B. \( \sqrt{116} \)
Step-by-step explanation:
Lenght of segment AB is the distance between A(-3, 1) and B(7, 5):
\( AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Let,
\( A(-3, 1) = (x_1, y_1) \)
\( B(7, 5) = (x_2, y_2) \)
\( AB = \sqrt{(7 - (-3))^2 + (5 - 1)^2} \)
\( AB = \sqrt{(10)^2 + (4)^2} \)
\( AB = \sqrt{100 + 16} = \)
\( AB = \sqrt{116} \)
Find x. (show work)
What type of triangle is it?
The value of x in chords is 25.857 and this is a isosceles triangle.
Describe Chords?In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.
The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:
(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180
Simplifying and solving for x, we get:
7x - 1 = 180
7x = 181
x = 25.857
Therefore, x is approximately equal to 25.857.
To know more about angles visit:
https://brainly.com/question/17596732
#SPJ1
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
Evaluate the surface integral.
S(x + y + z) dS, S is the parallelogram with parametric equations
x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 7, 0 ≤ v ≤ 3.
Answer:
\(\frac{115\sqrt{14} }{2}\)
Step-by-step explanation:
∫∫ ( x + y + z ) ds
where :
x = u + v , y = u - v , z = 1 + 2u + v ,
0 ≤ u ≤ 5,
0 ≤ v ≤ 1
R ( u,v ) = < u+v , u-v , 1 + 2u +v > next we have to differentiate
attached below is a detailed solution
The surface integral S(x + y + z) dS, where S is the parallelogram is \(115\sqrt{14} /2\) and this can be determined by integrating the given expression.
Given :
The surface integra S(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 7, 0 ≤ v ≤ 3.
The following calculation can be used in order to determine the surface integral.
\(\rm R_u\times R_v = <3,1,-2>\)
\(\rm ||R_u\times R_v|| = \sqrt{14}\)
Now, evaluate the surface integral.
\(\rm I = \rm \int\int_s(x+y+z)dr\)
\(\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)||R_u\times R_v||dA\)
\(\rm I = \int^5_{u=0}\int^1_{v=0}(u+v+u-v+1+2u+v)\sqrt{14} \;du\;dv\)
\(\rm I = \sqrt{14} \int^5_0(v+4uv+\dfrac{v^2}{2})^1_0\;du\)
\(\rm I = \sqrt{14} (\frac{3}{2}u+4\frac{u^2}{2})^5_0\)
Simplify the above expression.
\(\rm I = \dfrac{115\sqrt{14} }{2}\)
The surface integral S(x + y + z) dS, where S is the parallelogram is \(115\sqrt{14} /2\)
For more information, refer to the link given below:
https://brainly.com/question/22008756
Could someone help me out? I don't get it
please helpppppppppppp
Answer:
3
Step-by-step explanation:
4.5x 2 = 9
\(\sqrt{9}\)= 3
What is the slope of the graph shown below?
Answer:
C. 4
Step-by-step explanation:
Since this one is already graphed and we can see it clearely we can just count, but you can also do change in y over change in x (aka "rise over run") to find the slope.
So, we count and find it is four up and one over. 4/1 = 4 = c
Hope this helps, have a nice day! :)