Answer:
1/11 = 0.090909090909090909........................
A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5
hex bolts and 15 anchor bolts weighs 4 pounds. A single hex bolt weighs ___________
pounds, rounded to one decimal place
Answer:
0.5
Step-by-step explanation:
Let h = weight of 1 hex bolt Let a = weight of an one anchor bolt1) (12h + 10a = 7) × 3 ⇒ (1) 36h + 30a = 21
2) (5h + 15 = 4) × -2 ⇒ + (2) - 10h - 30a = 8
----------------------
26h = 13
----- -----
26 26
h = 13 ÷ 13
---
26 ÷ 13
h = 1
---- = 0.5
2
Answer:
1 hex bolt weight 0.5 lbs.
WILL GIVE ANOTHER 100 POINTS IN A SEPREATE QUESTION IF YOU ANSWER
Write a short essay researching different fields and how they use geometry or trigonometry. Discuss the field that you have chosen does (50 points) and how that field uses geometry or trigonometry (50 points). Use complete sentences and at least 3 paragraphs.
The fields in which Trigonometry is well applied and their explanations are as explained below.
What is the Importance of Trigonometry?The three fields that trigonometry is useful are as described below;
1) In construction;
Trigonometry is useful in Construction field because it can be used in measurement of walls parallel and perpendicular; Installing ceramic tiles; Roof inclination; the height of the building, the width length e.t.c. It is also useful in finding roof slopes, ground surfaces, sun shading and light angles.
2) In marine biology;
Marine biologists utilize trigonometry to establish measurements. For instance, when trying to find out the manner in which light levels at different depths affect the ability of algae to photosynthesize. Trigonometry is used in finding the distance between celestial bodies. Marine biologists also use it to create mathematical models to measure and understand sea animals and their behavior.
3) In criminology:
In criminology, trigonometry is useful in calculating a projectile’s trajectory in order to estimate the possible cause of a collision in a car accident or the manner in which an object fall down or in which angle a bullet was shot etc.
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By solving the equation a = 2 - 9a, the value of a will be:-
A- 2/5
B- 3/5
C- 1/5
D- 1/2
C- 1/5
Step-by-step explanation:
a = 2 - 9a
10a = 2
a = 2/10
a = 1/5
Hope u got it (◠‿・)—☆
which expression is the equivalent to the given expression
(3m-4)³(3m³)
Answer:
81m^6 - 323 m^5 + 432m^4 - 192m^3
Step-by-step explanation:
Comment
If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.
The general formula for expanding a binomial raised to the third power is
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Solution
To modify the general formula to suit this problem, let
a = 3m
b = - 4
When that is done, the general equation becomes
(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3
(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64
Multiply everything in the 4-nomial by 3m^3
(27m^3 - 108 m^2 + 144m - 64)3m^3
81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.
Which point is a solution to the system?
O (-1, 6)
O (0, 22)
O (2,9)
O (8, 2)
Answer: (2,9)
Step-by-step explanation:
It lies in the region that is shaded both red and blue (representing the fact that it satisfies both inequalities).
LAST ONE PLEASE ANSWER IT
Answer:
B.
Step-by-step explanation:
The product of means that you're multiplying, which means that you need to use parentheses. That narrows it down to B or D. Since the question asks you to provide a number first (x) and then 11, that means that 11 will be subtracted from the number.
Suppose I have Rs 1000 and I put it in the bank. What will be the amount I have after 5 years if Interest is 5% per annum?
Answer:
Its 250 the answer which i got.
Answer:
After investing for 5 years at 5% interest, your $1,000 investment will have grown to $1,276
Step-by-step explanation:
Which choices are in the solution set of the inequality below? Check all that
apply.
18x> 45
A. 3
B. 2
c.
-13
D. 5
E. 2.5
F. 9
Answer: its -0
Step-by-step explanation:
1. y = 5 x Reflected across the x-axis 2. y = 5 –x+ 5 Reflected across the y-axis 3. y = 5 –x + 5 Translated down by 5 units 4. y = 5 –x – 5 Translated up by 5 units 5. y = –5 –x Translated left 5 units 6. y = 5 –x – 5 Translated right by 5 units
The matchup are:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣWhat is Translation and reflection?Reflection is known to be the turning over an object across a line and it is one where we do not need to change its size or shape.
While Translation is said to be sliding a figure into another direction and it is one where we do not need to change its size, shape or make.
The Translation and reflection matchup are given:
1. Translated left 5 units - y = 5⁻ ˣ ⁻ ⁵ 2. Translated right by 5 units - y= 5⁻ ˣ ⁺ ⁵3. Translated up by 5 units - y = 5⁻ˣ + 54. Translated down by 5 units - y = 5⁻ ˣ -5 5. Reflected across the x-axis - y= - 5 ⁻ ˣ6. Reflected across the y-axis -y = 5ˣSee full question below
Match each function formula with the corresponding transformation of the parent function y = 5-^x Please help ASAP!!
1. y = 5x
Translated left 5 units
2. y = 5–x + 5
Translated right by 5 units
3. y = 5–x – 5
Translated up by 5 units
4. y = 5–x+ 5
Translated down by 5 units
5. y = –5–x
Reflected across the x-axis
6. y = 5–x – 5
Reflected across the y-axis
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Which of these r-values represents the strongest correlation?
A. -0.7
B. -0.8
C. -0.6
D. -0.9
Answer:
D
Step-by-step explanation: the larger abs(r value) is, (abs of r closest to 1) the better the correlation. Negative values indicate a negative correlation (negative slope)
Rearrange x = 3g + 2 to make g the subject.
Answer:
g = [tex]\frac{x-2}{3}[/tex]
Step-by-step explanation:
x = 3g + 2 ( subtract 2 from both sides )
x - 2 = 3g ( divide both sides by 3 )
[tex]\frac{x-2}{3}[/tex] = g
Answer:
g = 1/3x - 2/3Step-by-step explanation:
x =3g + 2
3g + 2 = x
3g = x - 2
g = 1/3 x - 2/3
Answer: g = 1/3x - 2/3
Find (f + g)(x).
(f + g)(x) =
The value of (f + g)(x) is 2x + 8
Complete questionLet f(x) = 4x + 3 and g(x) = -2x + 5.
Find (f + g)(x).
How to evaluate the composite function?The functions are given as:
f(x) = 4x + 3
g(x) = -2x + 5
The composite function (f + g)(x) is calculated using
(f + g)(x) = f(x) + g(x)
Substitute known values
(f + g)(x)= 4x + 3 - 2x + 5
Evaluate the like terms
(f + g)(x)= 2x + 8
Hence, the value of (f + g)(x) is 2x + 8
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debbie is a cook in a restaurant that is open 6 days a week. she is responsible for recording and monitoring the amount of money she spends on food. in the summer she uses an average of 9 loaves and bread per day.
The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread
Calculation of weekly quantity of breadThe number of days the restaurant opens per week = 6 days.
The number of bread she uses everyday is = 9 loaves.
Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.
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A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.
Answer:
4158cm cubed. Hope this helped!
The lottery in our state consists of two drawings. first, a megaball is picked from among 27 numbered balls. second, five winnerballs are picked from among 44 numbered balls. to win the lottery, you must pick the megaball number correctly and also pick the numbers on the five winnerballs (but you don't need to get the order right for the winnerballs). what is the probability that the ticket i hold has the winning numbers
Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:
[tex]p = \frac{1}{29,322,216}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the winnerballs, 5 balls are taken from a set of 44, hence:
[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]
Considering the numbered balls, the number of outcomes is given by:
N = 27 x 1086008 = 29,322,216.
Hence the probability is given by:
[tex]p = \frac{1}{29,322,216}[/tex].
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9. Classify the shapes shown below. Write the letter of each shape in the category that
describes it. Shapes may fall into more than one category, and not all shapes will be
used.
At least 1 right angle = A, C and E
At least 2 sides of equal length = B and E
At least 1 pair of parallel sides= B and E
What is a Parallel line?Parallel lines are those lines that are apart and they never meet till infinity.
Example of shapes that have sides with parallel line are the rectangle and parallelograms.
The shape B and E are rectangles and parallelograms respectively.
The shape that has angle 90° are right angle triangles and trapezium.
Therefore, the shapes that has right angles are A which is a trapezoid and E which is a rectangle.
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Find the measure of each missing angle.
-4 1/2 x (-1 3/8)
please help
Answer:
The answer is 33.31
Step-by-step explanation:
-41/2 ×-13/8
-41×-13 = 533
2×8=16
therefore, 533/16
ans= 33.31
I hope this helps.
What is the gradient of the line y = -7x + 13?
Answer:
y = 7 x - 13. y=7x−13. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side.7x-13=y. 7x−13=y. Add 13 to both sides. ... 7x=y+13. 7x=y+13. Divide both sides by 7. ... \frac{7x}{7}=\frac{y+13}{7} 77x=7y+13 Dividing by 7 undoes the multiplication by 7.
Step-by-step explanation: hope this helps
Answer:
-7
Step-by-step explanation:
Josefin is 32 years younger than Anette. How many years ago was Anette's age twice Josefin's age if Anette is 74 now?
Is y = 3 the solution to
3y + 10 = -5y – 14
Answer:
No, the solution is -3.
Step-by-step explanation:
3y+10=-5y-14
We move all terms to the left:
3y+10-(-5y-14)=0
We get rid of parentheses
3y+5y+14+10=0
We add all the numbers together, and all the variables
8y+24=0
We move all terms containing y to the left, all other terms to the right
8y=-24
y=-24/8
y=-3
Answer:
y = - 3
Step-by-step explanation:
3y + 10 = - 5y - 14 ( add 5y to both sides )
8y + 10 = - 14 ( subtract 10 from both sides )
8y = - 24 ( divide both sides by 8 )
y = - 3
Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal is 4.7
We have given that,
Bilquis wants to ride her bicycle 47.6 miles this week. She has already ridden 8 miles.
We have to determine that If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal.
Based on the given conditions, formulate: 8+4x=26
Rearrange unknown terms to the left side of the equation:4x=26-8
Calculate the sum or difference:4x=18
Divide both sides of the equation by the coefficient of the variable:4x/4=18/4
Calculate the product or quotient:x=18/4
We get the result:4.7
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Answer: The answer is 6.6
Step-by-step explanation:
Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)
The lines through each set of ordered pairs are neither parallel nor perpendicular.
How to determine the relationship?The ordered pairs are given as:
(8, 3) (-2, 5) and (-2, -5) (-1, -10)
Start by calculating the slope (m) using:
m = (y2 - y1)/(x2 - x1)
For the first pair, we have:
m = (5 - 3)/(-2 - 8)
m = -1/5
For the second pair, we have:
m = (-10 + 5)/(-1 + 2)
m = -5
Both slopes are not equal, so they are not parallel
Also, both slopes are not opposite reciprocals, so they are not perpendicular.
Hence, the lines through each set of ordered pairs are neither parallel nor perpendicular.
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ircle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B? (
Answer:
ggggjgfdvhgffgutddfgj
7, 9, 13 are the first three terms of a sequence with
nth term = an² + bn + c.
(i) By substituting n = 1, 2 and 3 set up three simultaneous equations in
a, b and c.
(ii) Solve your simultaneous equations and hence write down an
expression for the nth term.
(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13
(ii) Expression for nth term = n²-n+7
The first three terms of the sequence are 7, 9, 13
nth term = an²+bn+c
If we put n = 1 then,
1st term = a(1)²+b+c
⇒ a+b+c = 7 ......(1)
If we put n = 2 then,
2nd term = a(2)²+b×2+c
⇒ 4a+2b+c = 9 ........(2)
3rd term = a(3)²+b×3+c
⇒ 9a+3b+c = 13 .......(3)
Multiplying 4 with (1) and subtract (2) from (1) we get,
(4a+4b+4c)-(4a+2b+c)=28-9
⇒ 4a+4b+4c-4a-2b-c=19
⇒ 2b+3c=19 .....(4)
Multiplying 9 with (1) and subtract (3) from (1) we get,
(9a+9b+9c)-(9a+3b+c)=63-13
⇒ 9a+9b+9c-9a-3b-c=50
⇒ 6b+8c=50
⇒ 3b+4c=25 .....(5)
Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),
3(2b+3c)-2(3b+4c)=57-50
⇒ 6b+9c-6b-8c=7
⇒ c = 7
From (5),
3b+28 = 25
⇒ 3b = -3
⇒ b = -1
From (1),
a+(-1)+7 = 7
⇒ a-1=0
⇒ a=1
So, nth term = n²-n+7
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Can someone help me ASAP.
Answer:
A. JK and LM lie in the same plane
B. JK and LM do not intersect
E. JK and LM are parallel
Step-by-step explanation:
hope this helped
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Answer:
3 months
Step-by-step explanation:
G1= 10 m +45
G2=25
10 m + 45= 25 m
10 m - 25 m = -45
-15 m/-15=-45/-15
m=3
∴ it's 3 months
What is the length of A. 7 B. 4 C. 8 OD. 1 3 X +3 ? What is the length of A. 7 B. 4 C. 8 OD . 1 3 X +3 ?
Answer: 4
Step-by-step explanation:
Sides opposite congruent angles in a triangle are congruent, so:
4x = x + 33x = 3 [subtract x from both sides]x = 1 [divide both sides by 3]So, MN = 1 + 3 = 4
Solve |x — 6| = 8.
X
OA.
A. x 14 and x = -2
X=
OB. x = -14 and x = 2
OC. x =
14 and x = -14
D. x =
-14 and x = -2
x = 14 and x = -2
===========================================
Work Shown:
[tex]|x-6| = 8\\\\x-6 = 8 \ \text{ or } \ x-6 = -8\\\\x = 8+6 \ \text{ or } \ x = -8+6\\\\x = 14 \ \text{ or } \ x = -2\\\\[/tex]
-------------
Checking the answer x = 14
[tex]|x-6| = 8\\\\|14-6| = 8\\\\|8| = 8\\\\8 = 8\\\\[/tex]
That solution is confirmed.
Repeat for x = -2
[tex]|x-6| = 8\\\\|-2-6| = 8\\\\|-8| = 8\\\\8 = 8\\\\[/tex]
The second solution is confirmed.
Answer: A. x = 14, x = -2
Step-by-step explanation:
|x-6| = 8
this means x = 6+8 and x = 6-8
therefore, x = 14, x = -2
Guysss I need to know the question
If you skip count by 4’s starting with 8, what will the 11 number be?
I need to know lang naman kase assignment ko ehh chaar nasa math book ko Baka kase pag arlan namin kaya ko tinatanong
Answer:
88 i think so
Step-by-step explanation:
