Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
65 lb to g
The conversion of the measurement of 65 lb will be 29483.5 g.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
In this case, we need to convert 65 lb to g
It should be noted that we have to multiply the weight value by 453.5
Therefore, it should be noted that 65 lb will be:
= 65 x 453.5
= 29483.5 g.
Therefore, it should be noted that the conversion of the measurement of 65 lb will be 29483.5 g.
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can you explain thia
What is the x value of the solution to the following system
x + y =40
x - 3y = -4
Answer:
x=y , x-3y=4. x = y x = y , x − 3y = 4 x - 3 y = 4. Replace all occurrences of x x with y y in each equation. Tap for more steps... −2y = 4 - 2 y = 4. x = y x = y. Divide each term in −2y = 4 - 2 y = 4 by −2 - 2 and simplify. Tap for more steps... y = −2 y = - 2.
Step-by-step explanation:
Just smart
Answer:
C) 29
Step-by-step explanation:
1st equation - 2nd equation,
x+y - (x-3y) = 40-(-4)
x+y-x+3y = 40+4
4y = 44
y = 44÷4
y = 11
substituting y into the first equation,
x + 11 = 40
x = 40-11 = 29
answer is C
hope it helps. :)
Número 5 five pls help me
Help me please it’s confusing
Answer: 1/6
Step-by-step explanation:
To subtract fractions, you must have a common denominator. To do this, the common multiple of 3 and 2 is 6. So 2/3 is multiplied by 2/2 and 1/2 is multiplied by 3/3. The multiplication is valid since we multiplied by one, it didn't alter the value but rather it put it into an alternate, equivalent form.
find the distance between two points rounding to the nearest tenth if needed. (-5,4) and (4,-8)
Answer:
d = 15
Step-by-step explanation:
(-5, 4), (4, -8)
(x₁, y₁) (x₂, y₂)
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(4 - (-5))² + (-8 - 4)²
d = √(4 + 5)² + (-12)²
d = √(9)² + (-12)²
d = √81 + 144
d = √225
d = 15
I hope this helps!
NO LINKS!! Please help me with these graphs Part 4a
Answer:
a. x = 1.75, x = 4.25
b. y = -7
c. Maximum point at (3, 5).
d. Domain: (-∞, ∞)
e. Range: (-∞, 5]
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=-4|x-3|+5[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: x = 1.75, x = 4.25Part bThe y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -7Part cFrom inspection of the graph:
Maximum point at (3, 5).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a maximum point at y = 5, the range is restricted.
Range: (-∞, 5]Part fGraph label the axes using a scale of 1 (see attachment).
Plot the maximum point (3, 5). Plot the y-intercept: (0, -7).Draw a straight line from the maximum point through the y-intercept.Substitute x = 5 into the function to find the value of y at that point:
[tex]\begin{aligned}\implies \text{f}(5)&=-4|5-3|+5\\&=-4|2|+5\\&=-4(2)+5\\&=-8+5\\&=-3\end{aligned}[/tex]
Plot found point (5, -3).Draw a straight line from the maximum point through point (5, -3).
You need more than 120 cups of iced tea but less than 180 cups of iced tea for a
picnic. Each batch of iced tea makes 30 cups. Which inequality represents the
number of batches b you need to make?
The required equation of inequality is 4 ≤ b ≤ 6
Given ; Cups of iced tea = 120 cups
and the cups of iced coffee should not be less than 180 cups
Thus this is a question of inequality
Each batch of iced tea makes = 30 cups
thus the required equation is
[tex]\frac{120}{30}[/tex] and this is less than the number of batches which is represented by b
thus the equation would be [tex]\frac{120}{30}[/tex] ≤ b
And it should be less than 180 cups of iced tea
thus the equation would be
b ≤ [tex]\frac{180}{30}[/tex]
Thus the required equation is :
[tex]\frac{120}{30}[/tex] ≤ b ≤ [tex]\frac{180}{30}[/tex]
On simplifying this we will get ;
4 ≤ b ≤ 6
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for a given geometric sequence the seventh term is equal to 19/81 and the 12th term is equal to "-57" find the value of the 15th term
For the given geometric sequence the seventh term is equal to 19/81 and the 12th term is equal to "-57" the value of the 15th term is 1539.
What is a geometric sequence?
One particular sort of sequence is a geometric sequence. It is a sequence in which each term, with the exception of the first, is multiplied by a fixed integer to obtain the following term. The common ratio must be multiplied by the current term in the geometric sequence to obtain the next term, and the common ratio must be divided by the current term to obtain the previous term.
Solution Explained:
We know, a7 = 19/81, a12 = -57
So, ar^7 = 19/81 and ar^12 = -57 (r= common ratio)
Since r< a15 < 0 [the sign alternate]
Ignoring the signs,
r^12 = r^7 X r^5
57 = 19/81 X r^5
(57 X 81)/19 = r^5
243 = r^5
r = the fifth ratio of 243 = 3
therefore, r = -3
So, a15 = a12 X r^3
= -57 X (-3)^3
= 1539
Hence, the value of the 15th term is 1539.
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Complete using trend analyses for sales. (Round to nearest percent and use 2010 as the base year.) 2013 2012 2011 2010 Sales $ 158,000 $ 615,000 $ 280,000 $ 500,000 (A) (B) (C) (D)
The completion of the trend analysis for sales with 2010 as the base year is as follows:
Trend Analysis of Sales:2013 2012 2011 2010
Sales $ 158,000 $ 615,000 $ 280,000 $ 500,000
Trend Analysis 32% 123% 56% 100%
What is trend analysis?Trend analysis uses observed historical data to predict future developments and monitor performances about a particular topic.
Undertaking a trend analysis for sales, which is a technical analysis, involves setting a base year. The sales figure for the base year is set to 100% and used to check changes during the review periods.
The other years' sales results, in percentages, are compared to the base year by dividing each year's sales by the base year.
Sales Trend Analysis:2013 (D) = 32% ($158,000/$500,000 x 100)
2012 (C) 123% ($615,000/$500,000 x 100)
2011 (B) 56% ($280,000/$500,000 x 100)
2010 (A) = 100% ($500,000/$500,000 x 100)
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Solve for the value of T
Step-by-step explanation:
4t - 7 + 83 = 180
4t + 76 = 180
4t = 104
t = 26
1. Amy is practicing target shooting at a special facility. A target projectile is launched
into the air from a platform 10 feet above the ground at a rate of 96 feet per second.
Amy aims and shoots at her target. Her bullet follows a linear path with a slope of 17
feet per second and she fires from a height of 5 feet.
The equation used to determine height and time is y = 16x² + 96x + 10 and y = 17x + 5
What is Projectile Motion ?
A projectile is something that has only one force acting on it the entire time, which is gravity, with the exception of the beginning.There are numerous types of projectiles.A projectile is something that is launched from the position of rest.A projectile is also any object that is hurled vertically upward as long as air resistance has no effect. Additionally, a projectile is any object that is fired upward at an angle to a horizontal plane.
The height of projectile after t seconds is given,
h(t) = 1/2 gt² + v₀t + s₀
where,
v₀ ( initial velocity ) = 96 feet per second
s₀ ( initial height ) = 10 feet
g = 32 feet per second²
put the values,
h(t) = 1/2 (32)t² + 96 t + 10
h(t) = 16 t² + 96 t + 10
so, let h(t) = y and t = x
y = 16x² + 96x + 10
We know, Amy's bullet follows a linear path,
The linear equation is,
y = mx + b
where, slope (m) = 17 feet per second and,
y-intercept (b) = 5 feet
plug in the values in linear equation,
y = 17x + 5
Therefore, The equation used to determine height and time is y = 16x² + 96x + 10 and y = 17x + 5
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Which expression has the same value as 3 ÷ 5/9? A. 3 × 5/9 B. 1/3 ÷ 5/9 C. 3 ÷ 9/5 D. 3 × 9/5
Answer:
D: 3x9/5
Step-by-step explanation:
the formula for dividing fractions is skip flip multiply where we keep the first term the same and then flip the second to multiply
Hopes this helps please mark brainliest
At a supermarket, oranges cost $1.30 per pound and pears cost $1.90 per pound. Misha spent less than $10.00 on 2 pounds of oranges and x pounds of pears. Which inequality represents this situation?
Answer:
kind423
Step-by-step explanation:
Answer: 2(1.9)+1.30x<10
Step-by-step explanation:
Orange= $1.30/lb
Pear= $1.90/lb
$1.30/lb = $y/2lb
y=1.30*2
y=$2.6 for 2lb of orange
So
She spent
2(1.30)+1.90x< $10
2.6+1.90x<10
1.90x<10-2.6
1.90x<7.4
x<7.4/1.90
x<3.89
According to 2(1.30)+1.90x< $10
2.6+1.90*3.89<10
9.991<10
Three middle schools in a city had enrollments of 296,315 and 278 what was the total middle school enrollment
The total middle school enrollment is 889 for the given city.
According to the question,
We have the following information:
Three middle schools in a city had enrollments of 296,315 and 278.
Now, the total middle school enrollment can be easily found by adding the enrollments in three middle schools of the city.
So, we have the following expression:
Total middle school enrollment = 296+315+278
(We already know that the digits are first added from the right hand side and then we move to the left hand side.)
Total middle school enrollment = 889
Hence, the total middle school enrollment is 889 for the given city.
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Select the values that make the inequality
The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.
Given,
In the question:
To see the figure:
To select the values that makes the inequality s ≤ 4 true.
Number table are given in figure.
To see the figure and analysis.
Now, According to the question;
To make the inequality s ≤ 4 true.
The selected value must be less than 4 {Properties of Inequality}
The values are sorted from small to large:
So, The answer is -4, -1, 1, 3, 3.9, 3.99, 3.999.
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Problem 3: Suppose you drive a car 168 miles on one tank of gas. The tank holds 12 gallons of gas.
(Assume the car travels the same distance for each one gallon of gas)
The number of miles traveled varies directly with the number of gallons of gas you use.
a.
Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in
the equation.
b. low far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to
determine this answer)
a) An equation relating the miles traveled to gallons of gas used is m = 14g.
b) With 3.7 gallons of gas, one can drive up to 51.8 miles.
What is an equation?An equation is a mathematical statement that makes two mathematical expressions equivalent or equal using the equation symbol (=).
Equations establish the equality of two or more values, variables, or numbers.
The total distance driven on one tank of gas = 168 miles
The quantity of gas used = 12 gallons
The number of miles per gallon of gas = 14 (168/12)
Let m = distance in miles
Let g = gallons of gas used
Equation: m = 14g
Solution:
Gallons of gas used = 3.7
m = 14g
= 14(3.7)
= 51.8 miles
Thus, based on the established equation, with 3.7 gallons of gas used, the driver can cover 51.8 miles.
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What is the value of k in 10*10=10
The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2
The equation is give
10 × 10 = [tex]10^k[/tex]
The equation is defined as the mathematical statement that represent the two algebraic expression with an equal sign. The equation will no contain the inequality signs like greater than, less than etc..
The power of a number is the base number is raised to the exponent
Here the equation is
10 × 10 = [tex]10^k[/tex]
10 is the base number and k is the exponent.
We know that,
10 × 10 = [tex]10^2[/tex]
The value of k = 2
Here 2 is the exponent of base number 10
Hence, The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2
The complete question is:
What is the value of k in 10 × 10 = [tex]10^k[/tex] ?
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4. Daryll rides a bike 8 miles in 40 minutes. Isabella rides a bike 5 miles in 30
minutes. If they continue to ride at those speeds, who will bike the farthest
in 2 hours? How much father? Show your work.
5 A student sells 5 ears of corn for $2.00 how much will 9 ears cost show your work
6 A market sells 4 oranges for 2.45 how much will 8 oranges cost ? 12 oranges show your work
One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal.
Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
The Z distribution also referred to as the standard normal distribution is the distribution that we would have to use here.
What is the z distribution?A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.
By transforming the values of any normal distribution into z-scores, it is possible to standardize it. Z-scores indicate the number of standard deviations from the mean that each value falls within.
This is the z distribution given that the value of n is more than 30.
We have to make use of z when n which is the number of samples is greater than 30.
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What is the slope of the line shown?
A. slope = 2
B. slope = 1/2
C. slope = -1
D. slope = 1
Answer:
I think b 1/3
Step-by-step explanation:
slope is rise over run
Answer:
1/2
Step-by-step explanation:
find 2 clear points A(2,0) B(8,3)
use the formula of the angular coefficient
[tex]c = \frac{y2 - y1}{x2 - x1} [/tex]
Brainly your my last hope :( please if its the last thing you do
Answer:
3/20
Step-by-step explanation:
3/5 : 4
3/5 x 1/4
3/20
What is the solution set for 5x−5=15, given the replacement set {0, 1, 2, 3, 4}?
Responses
x = 4
x, = 4
x = 3
x, = 3
x = 2
x, = 2
x = 1
x, = 1
x = 0
The solution to the equation 5x - 5 = 15 in the replacement set is x = 4
How to solve the equations using the replacement sets?From the question, we have the following equation that can be used in our computation:
5x - 5 = 15
The replacement set is given as
{0,1, 2, 3, 4}
So, we replace the variables using the elements in the replacement set
When x = 0, we have
5(0) - 5 = 15
-5 = 15 -- false
When x = 1, we have
5(1) - 5 = 15
0 = 15 -- false
When x = 2, we have
5(2) - 5 = 15
5 = 15 -- false
When x = 3, we have
5(3) - 5 = 15
10 = 15 -- false
When x = 4, we have
5(4) - 5 = 15
15 = 15 -- true
Hence, the value of the equation is x = 4
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Which one is triangle a and b
In both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.
What is Obtuse triangle?
When one of the interior angles of a triangle is more than 90 degrees, the triangle is said to have obtuse angles. The sum of the other two angles in an obtuse triangle is less than 90° if one angle in the triangle is greater than 90°.Degrees with obtuse angles include 110°, 135°, 150°, 179°, 91°, and more. Therefore, all angles that fall between 90° and 180° are obtuse angles.Triangle B = Obtuse triangle
Triangle C = Obtuse triangle
in both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.
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Describe another way you could have solved the equation. Tell which of these two ways of solving the equation you prefer and why.
In the equation given 2[(4m * 3.5) / 400] = 171.5, m has a value of 2450.
EquationsEquations are mathematical statements containing two algebraic expressions on both sides of an equal to sign. This can be expressed as the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
In the equation given;
2[(4m * 3.5) / 400] = 171.5
We can find the value of m by applying changing the subject of formula
2[(4m * 3.5) / 400] = 171.5
28m / 400 = 171.5
28m = 400 * 171.5
28m = 68600
m = 68600 / 28
m = 2450
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Use a graphing utility to approximate the solutions of the equation in the interval [0, 2). Find the exact solutions algebraically. (Enter your answers as a comma-separated list.)
3 tan(2x) − 3 cot(x) = 0
An integral graph with graph spectrum is the utility graph.The utility graph's adjacency, incidence, and graph distance matrices are displayed in the aforementioned graphs.
Find the exact solutions algebraically?These technologies enable users to mathematically represent their ideas, dynamically link several representations, form hypotheses, and finally create totally new concepts.
Use a graphing utility
See attached file
The value of X in the interval [0, 2π) are
X1=0
X2=π/2-----1.5708
X3=π------- 3.1416
Values of X (0,1.5708,3.1416)
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Find the 14th term of the geometric sequence 1,-5,25
The 14th term of the geometric sequence will be -1220703125.
What is geometric sequence?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
Geometric Progression (GP), a form of sequence in mathematics, is a series in which each subsequent term is created by multiplying each preceding term by a set integer, known as a common ratio. A geometric sequence of integers that follows a pattern is another name for this development.
[tex]1*(-5)^{13}[/tex]The terms are given, 1,-5,25
a = 1
r = -5/1 = -5
The 14th term will be= [tex]ar^{13}[/tex]
= [tex]1*(-5)^{13}[/tex]
= -1220703125
Hence, the 14th term of the geometric sequence will be -1220703125.
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Evaluate the expression when a=5 and b=1/2: 13/2 - 7/2 -b( 2/3) + 4/8 - ab
In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 10 A (amperes), the resistance is 13 ohms. What is the resistance when the current is 26 A?
Answer:
33.8ohms
Step-by-step explanation:
10A : 13ohm
26A : 33.8ohm
The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1,320 1,264 1,215 1,271 1,268 1,316 1,275 1,317 1,275
(a)
Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to four decimal places.)
A.D.
s =
yr
(b)
When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)
tc =
What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)
E =
Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit
A.D.
upper limit
A.D.
Using the t-distribution, it is found that:
a)
The mean is: 1280.1111The standard deviation is: 33.5799.b)
The critical value is: 1.86.The margin of error is: 21.The interval is: (1259, 1301).What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the rule presented as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The margin of error of the interval is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
Then the interval can be interpreted as the sample mean plus/minus the margin of error.
For the confidence interval in this problem, using a calculator, the parameters are given as follows:
[tex]\mu = 1280.1111, s = 33.5799, n = 9[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 9 - 1 = 8 df, is t = 1.86.
Then the margin of error of the interval is:
M = 1.86 x 33.5799/sqrt(9) = 21.
Then the bounds of the interval are:
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