Answer:
Step-by-step explanation:
6.1 / 5 ( 12b + 5 )
b = 5/6
by substituting,
6.1 / 5 ( 12 × 5/6 + 5 )
1.22 × 15
= 18.3
Hope this helps
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The rod is made of A-36 steel and has a diameter of 0.22 in . If the rod is 4 ft long when the springs are compressed 0.7 in . and the temperature of the rod is T= 30 ∘F , determine the force in the rod when its temperature is T= 150 ∘F .
The force in the rod when the temperature is 150 °F is 718.72 pounds-force.
How to determine the resulting the resulting force due to mechanical and thermal deformationLet suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force ([tex]F[/tex]), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.
Given simmetry considerations, we derive an expression for the spring force ([tex]F[/tex]), in pounds-force, as a sum of mechanical and thermal effects by principle of superposition:
[tex]F = k\cdot (\Delta x + 0.5\cdot \Delta l)[/tex] (1)
Where:
[tex]k[/tex] - Spring constant, in pounds-force per inch.[tex]\Delta x[/tex] - Spring deformation, in inches.[tex]\Delta l[/tex] - Rod elongation, in inches.The rod elongation is described by the following thermal dilatation formula:
[tex]\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})[/tex] (2)
Where:
[tex]\alpha[/tex] - Coefficient of linear expansion, in [tex]\frac{1}{^{\circ}F}[/tex].[tex]L_{o}[/tex] - Initial length of the rod, in inches. [tex]T_{o}[/tex] - Initial temperature, in degrees Fahrenheit.[tex]T_{f}[/tex] - Final temperature, in degrees Fahrenheit.If we know [tex]k = 1000\,\frac{lb}{in}[/tex], [tex]\Delta x = 0.7\,in[/tex], [tex]\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}[/tex], [tex]L_{o} = 48\,in[/tex], [tex]T_{o} = 30\,^{\circ}F[/tex] and [tex]T_{f} = 150\,^{\circ}F[/tex], then the force in the rod at final temperature is:
[tex]F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right][/tex]
[tex]F = 718.72\,lbf[/tex]
The force in the rod when the temperature is 150 °F is 718.72 pounds-force. [tex]\blacksquare[/tex]
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In this image, what is the value of C? Round your answer to the nearest tenth.
Answer:
C = 7.2
Step-by-step explanation:
What's Pythagorean Theorem?
Pythagorean Theorem is a theorem in which it states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. This can be represented as an equation of a² + b² = c².To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.
Step 1: Simplify.
[tex]4^2+6^2=c^2[/tex][tex]16+36=c^2[/tex] [tex]52=c^2[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{c^2}=\sqrt{52}[/tex] C ≈ 7.2Therefore, the value of C is 7.2.
Ivan said that if a number ends in 0 both 2 and 5 are factors of the number. Is he correct? Why of why not?
Answer:
yes he is correct bc the number will always be divisive by 2 and 5
what is the initial number of views?
A.0
B.100
C.110
D.11
Answer:
A
Step-by-step explanation:
O because that is the number that you always start off.
I need help please due in a hour
Answer:
so easy ....dude
Step-by-step explanation:
you can do it..
The ratio of dogs to cats at the veterinarian's office on Saturday. was 6 to 5. If there were 15 cats at the office, how many dogs and cats were there altogether?
Answer:
33 total cats and dogs
Step-by-step explanation:
15/5=3
3*6=18
18+15=33
hope this helps
Answer:
Dogs: 18Cats: 15In total: 33Step-by-step explanation:
Set up a proportion: [tex]\frac{6}{5} = \frac{x}{15}[/tex] Cross multiply, then divide: 15 × 6 = 90, 90 ÷ 5 = 18So, there are 18 dogs in total.Add the dogs and cats together: 18 + 15 = 33I hope this helps!
Solve the following equations for x (5 points each). (a) -3x+10=34 and (b) 13x-4=11x+10-8
please show work
Answer:
A)x=-8 B)x=3
Step-by-step explanation:
A)-3x+10=34 -3x+10-10=34-10 -3x/-3=24/-3 x=-8
B) 13x-4=11x+10-8 13x-4+4=11x+10-8+4 13x-11x=11x-11x+6 2x/2=6/2 x=3
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (-2, 2), (1, –3), (8, –1)}
{(-3, –1), (-7, 1), (–6, –1), (-8, 1), (2, –1)}
{(1, 8), (5, 2), (2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (4, 2), (6, –3), (1, –1)}
Answer:
A
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
The standard deviation for u(90, 230)
Answer:
Standard deviation is 70
Step-by-step explanation:
square root of 4,900= 70 (solved using standard deviation formula)
Please help ASAP marking brainly
Answer:
y = 2
Step-by-step explanation:
We are given the value of x (second equation). Let's substitute the value of x into the first equation to find y.
[tex]\rightarrow \dfrac{x}{y} = 6[/tex]
[tex]\rightarrow \dfrac{4(y + 1)}{y} = 6 \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[}x = 4(y + 1)]}[/tex]
Use cross multiplication.
[tex]\rightarrow 4(y + 1) = 6 \times y[/tex]
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
Simplify the distributive property.
[tex]\rightarrow 4(y + 1) = 6 y[/tex]
[tex]\rightarrow 4y + 4 = 6 y[/tex]
Subtract 4y both sides.
[tex]\rightarrow 4y - 4y + 4 = 6 y - 4y[/tex]
[tex]\rightarrow 4 = 2y[/tex]
Divide both sides by 2.
[tex]\rightarrow \dfrac{4}{2} = \dfrac{2y}{2}[/tex]
[tex]\rightarrow 2 = y[/tex]
Thus, the value of y is 2.
find the LCD of 1/3and2/7
Answer:
21
Step-by-step explanation:
Given: 7x/2 < 5.
Choose the solution set.
• {xlx > 10/7}
• {x|x < 35/2}
• {x|x > 35/2}
• {x|x < 10/7}
I have no idea lol.
Answer:
x < 10/7
Step-by-step explanation:
7x/2 < 5
multiply eech side by the reciprocal(2/7)
x < 10/7
Evaluate functions from their graph .
100points please help
Image attached
Find x
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
A- (−2, 2)
B- (2, 2)
C- (−2, 6)
D- (2, 6)
Answer:
I believe the answer is C (-2,6)
[tex]\\ \rm\rightarrowtail y=x^2+4x+10[/tex]
Add and subtract 4[tex]\\ \rm\rightarrowtail y=x^2+4x+4+10-4[/tex]
[tex]\\ \rm\rightarrowtail y=x^2+4x+2^2+6[/tex]
[tex]\\ \rm\rightarrowtail y=(x+2)^2+6[/tex]
Vertex form
y=a(x-h)^2+kVertex:-
(h,k)=(-2,6)Practice Translate Expressions
Write an algebraic expression that models the given word phrase.
1) 15 divided by d ________________________
2) seven fewer than a number n ________________________
3) two times the sum of a and b ________________________
4) nine less than 5 multiplied by the number p ________________________
5) the product of 15 and x ________________________
6) quotient of 4 more than the number z and the number y decreased by _________
What is a savings goal? PLS I NEED HELP QICK PLSSS nvm
Answer:
A goal for the amount of money being saved.
Step-by-step explanation:
PLEASE HELP
Write a story problem to go with the multiplication problem 5 x 3/4 . Then solve the problem.
Story:
John is baking a cake. He need to feed 5 people with the cake but the recipe is only designed for 1 serving. In the regular recipe, it required 3/4 cups of sugar. How much sugar does he need for the new recipe?
Answer:
3.75 or 3 3/4
Answer:
A store has 5 oranges then a customer buys 3/4 of them. How many is left
Step-by-step explanation:
5x3/4=3.75 if it was in decimal but in fraction it is 23/4
5x3/4=3.75
3/4 is 0.75
0.75 x 5=3.75
Emma measured a line to be 16 inches long. If the actual length of the line is 15.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
4.6% (nearest tenth)
Step-by-step explanation:
percent error = (|approx - actual| ÷ actual) × 100
percent error = (|16 - 15.3| ÷ 15.3) × 100
= 4.6% (nearest tenth)
[tex] \sf\% \: error = \frac{ |approx - actual| }{actual} \times 100[/tex]
Approx = 16Actual = 15.3[tex] \tt\% \: error = \frac{ |16 - 15.3| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{15.3} \times 100[/tex]
[tex] \tt\% \: error = \frac{ |0.7| }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{0.7}{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{ \frac{7}{10} }{ \frac{153}{10} } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 }{ 153 } \times 100[/tex]
[tex] \tt\% \: error = \frac{7 00}{ 153 } [/tex]
[tex] \tt\% \: error =4.57\%[/tex]
Thus, The % error is 4.6% when rounded off to the nearest tenth!!~I need help please ASAP !!
Answer:
Step-by-step explanation:
5) ∠1
6) ∠2 and ∠3
7) ∠1
At a Clover City Council meeting, a plan to fund more sign language programs was presented. The reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. If this is true, the council will agree to fund more programs for these parents. The council decides to take a 175-person volunteer sample of parents in Clover City that have children with auditory issues and conduct a significance test for H0: p = 0.25 and Ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. They will perform the significance test at a significance level of α = 0.05 for the hypotheses.
Part A: Describe a Type II error that could occur. What impact could this error have on the situation? (3 points)
Part B: Out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. What can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses? (4 points)
Part C: What possible defect in the study can you find in Part B? Explain. (3 points)
Part A: A Type II error in this context is failing to reject the null hypothesis that 25% of parents with hearing impaired children have the ability to pass a sign-language exam when actually less than 25% are able to pass it.
Part B: We fail to reject the null hypothesis because the p-value of 0.96 is larger than α = 0.05. The evidence is not substantial that the proportion of parents with hearing impaired children in Clover City who are able to pass a sign language exam is less than 0.25. The sample proportion of phat = 0.96 is greater than 0.25.
Part C: The sample of 175 parents with hearing impaired children in Clover City was a group of volunteers, so most likely they were confident in their ability to pass a sign language exam which could better the chances of more passing sign language exams.
find the rate of change from the equation x=1 will mark brainiest
Answer:
undefined
Step-by-step explanation:
when graphed, x=1 goes up and down which makes it's slope undefined
Answer:
∞(infinity)
Step-by-step explanation:
rate of change for the equation x = 1
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope
x = how far along
b = Y-intercept
the equation is a vertical line,
so the slope = ∞ (infinity)
27 3/10 - 12 5/9 write in old style math
Answer:
273/10 - 113/9
Step-by-step explanation:
Answer:
- 15 [tex]\frac{23}{50}[/tex]
Step-by-step explanation:
We need to make [tex]\frac{3}{10}[/tex] and [tex]\frac{5}{9}[/tex] have the same denominator, or bottom half, before we can subtract them.In order to do this, we need to find a number that both 10 and 9 (the bottom numbers) both go into. (Hint! Multiplying them together usually helps!)This number is 90. (See? 10 • 9 = 90!)Since we multiplied 10 by 9 to get 90, we need to multiply the top (3) by 9 too, to get us [tex]\frac{27}{90}[/tex].We multiply [tex]\frac{5}{9}[/tex] by 10 to get us [tex]\frac{50}{90}[/tex].Now we can subtract 27 [tex]\frac{27}{90}[/tex] and 12 [tex]\frac{50}{90}[/tex].27 - 12 = 15 (big numbers)27 - 50 = -23 (fractions)Now we have - 15 [tex]\frac{23}{50}[/tex]If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Matthew got 36 problems right out of a total of 40 problems on a test. What percent of the problems did he get right?
Answer: 90%
Step-by-step explanation: Well let us look at it together let’s make a small example, We know that 20 out of 40 would be 50 percent because it’s half. While using this info we can find out that...
1 out of 40 would be 2.5 percent.
2.5 percent times 14.4 = 36 percent.
36 percent of 40 = 90%
~akire lester
Determine the solution to the equation given 4(m-2)=18
Answer:
m=13/2 hope this helped:)
Step-by-step explanation:
X + 14 = 21 what should be done to solve this equation
Answer:
x+14=21 Add 14 to both sides of the equation. Subtract 14 from the left side of the equation. Add 14 to the left side and subtract 14 from the right side of the equation.
Step-by-step explanation:
Answer: x = 7
Step-by-step explanation:
U first subtract 14 from both sides
x + 14 - 14 = 21 - 14
And then u simplify
and get 7
AHIJ has coordinates H(0, 0), I(-3, -1), and J-1, -2). Graph the triangle and its translation 3 units to the right and 2 units down. What are the coordinates of J'
The coordinates of the triangle is plotted on the graph and the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Given data ,
Let the triangle be represented as ΔHIJ
Let the coordinates of the triangle be H(0, 0), I(-3, -1), and J(-1, -2)
Now , the translation rule is
The triangle is translated 3 units to the right and 2 units down
So , add 3 to the x-coordinates and subtract 2 from the y-coordinates of each point
So , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Hence , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
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What are m and b in the linear equation 15 + 9x + 3 + 7x = y?
how many values of x will satisfy the equation -2|3x-5|=0
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = [tex]\frac{5}{3}[/tex]
Hence, the x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
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find f(343) & f(-64) .
f(343) = ?
[tex] \sqrt[3]{343} = 7[/tex]
7 + 4 = 11
f(-64) = ?
[tex] \sqrt[3]{ - 64} = - 4[/tex]
-4 + 4 = 0