Answer:
y= 8/3
Step-by-step explanation:
You are swinging a bucket in a circle at a velocity of 7.8 ft/s. The radius of the circle you are making is 1.25 ft. The acceleration is equal to one over the radius multiplied by the velocity squared.
a. What is the acceleration of the bucket?
b. What is the velocity if the acceleration is 25 ft/sec2?
Given that,
velocity, v = 7.8 ft/s
Radius, r = 1.25 ft
To find,
a. What is the acceleration of the bucket?
b. What is the velocity if the acceleration is 25 ft/sec²?
Solution,
(a) The centripetal acceleration is given by :
[tex]a=\dfrac{v^2}{r}[/tex]
Put v = 7.8 ft/s and r = 1.25 ft
[tex]a=\dfrac{(7.8)^2}{1.25}\\\\=48.672\ ft/s^2[/tex]
(b) Put a = 25 ft/s² to find velocity.
[tex]v=\sqrt{ar} \\\\v=\sqrt{25\times 1.25} \\\\v=5.59\ ft/s[/tex]
Hence, this is the required solution.
Help fast please
What types of angles are in each of these quadrilaterals?
acute and right angles
obtuse angles only
acute angles only
acute and obtuse angles
Answer:
Acute and Obtuse..I cant see any right
Step-by-step explanation:
Answer:
D) Acute and Obtuse angles
Step-by-step explanation:
The pink quadrilateral has obtuse angles and I believe it has 2 acute angles.
The orange one has 2 acute and 2 obtuse angles
And the green one has both acute and obtuse angles.
Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap
Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
x - y = 11 and 3x + 10y = -6 How would I solve by substitution?
Answer:
y = - 3, x = 8
Step-by-step explanation:
x - y = 11, x = 11 + y
Lets solve this equation with substitution: 3x + 10y = - 6
3(11+y)+10y=-6
33+3y+10y=-6
13y=-39
y = - 3
x - (-3) = 11
x + 3 = 11
x = 8
Answer:
use the first equation and solve for the variables
Step-by-step explanation:
for example, to solve for x add y on both sides x=11+y and substitute that to the equation
3(11+y)+10y=-6
that should give you -3
then go back to the equation x=11+y
x=11+(-3)
x=8
hope this helps!
(-∞-)help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me help me
Answer:
Zero
Step-by-step explanation:
So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7
7 minus 7 equals 0 or {7 - 7 = 0}
Hope this helps!!
Answer:
0
Step-by-step explanation:
Y=60x+180
It's part of a question for my midterms
20+3xy-3xy+y²+10-y²
Options 1,2,3 or 4?
Answer:
It is option 4.
Step-by-step explanation:
Key skills needed to solve this problem: Combining like terms and simplifying
1) We have to combine like terms and simplify to the maximum
We first start with 3xy and - 3xy. These cancel out as they add up to make 0. Next. there is y^2 and -y^2. These also cancel out. The only 2 terms left are 20 and 10 which add up to make 30.Therefore, it is option 4.
Hope you understood! Have a nice day!! :D
2x+4y²-6y² -9+1-x+3x
Options 1,2,3 or 4?
Answer:
Option 2
Step-by-step explanation:
Joshua is training for a race. The ratio of the number of minutes he runs to the number of miles he runs is 24 to 3. He plans to run 10 miles. How many minutes will it take him?
Answer:
Time taken to cover 10 miles = 80 minutes
Step-by-step explanation:
Given:
Ratio [Number of minutes : Number of miles runs] = 24:3
Find:
Time taken to cover 10 miles
Computation:
Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10
24/3 = Time taken to cover 10 miles / 10
Time taken to cover 10 miles = 80 minutes
If the diagonal of a television screen is 24 inches and the width is 16 inches,
what is the height of the screen? Leave the answer in simplified radical form
Please show you're work
Step-by-step explanation:
Let x be the height of the screen.
Using Pythagoras' Theorem,
we have x² + 16² = 24².
Therefore x² = 24² - 16² = 320,
x = √320 = 8√5 in.
The height of the screen is 8√5 inches.
NEED HELP ASAP PLS PLS PLS
At 9:00 a.m., the temperature at an Arctic observatory was −12°F. By 5:00 p.m., the temperature had risen 5 degrees. Over the next three hours, the temperature had dropped 2 degrees.
What was the temperature at 8:00 p.m.?
The temperature at 8 pm is obtained as follows:
-9 ºF.
How to obtain the temperature at 8 pm?The temperature at 8 pm is obtained applying the sequences in the context of this problem.
The initial temperature is of:
−12°F.
By 5:00 p.m., the temperature had risen 5 degrees, hence the temperature at 5 pm is given as follows:
-12 + 5 = -7ºF.
Over the next three hours, the temperature had dropped 2 degrees, hence the temperature at 8 pm is obtained as follows:
-7 - 2 = -9 ºF.
More can be learned about sequences at https://brainly.com/question/6561461
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Part B: What are the values of x and y?
4
Answer:
can anyone help me with this problem plzzz
Step-by-step explanation:
please help me with this if u get it right u get BRAINLISTED HELP PLS
Answer:
D
Step-by-step explanation:
simplify:
3x+9>x+33
2x>24
x>12
now see the graphs, and B and D both are marked with 12
but D has no filled circle, so that is the right answer
I hope this helped, and if my answer was right, please mark this as brainliest! Thank you!
find the equation of the line shown;
Answer: Assuming it means slope-intercept, the answer would be y=-2x+9
y = -2x + 9 is the equation of the line given in the graph.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a graph of the line, Where we can see that the line passes through the coordinates (0, 9) and (1, 7)
From the slope-intercept formula of a line:
y = mx +c
Where m is the slope
And c is the value of y at x =0
Thus in our case,
c = 9
and slope m = (y - y )/(x - x)
m = (7-9)/(1-0)
m = -2
so, the equation of the line:
y = -2x + 9
Therefore, the equation of the line in the given Graph is y = -2x + 9.
Learn more about Linear equations here:
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Three years ago Alicia was twice as old as her brother Carlos. In two more years Alicia will be just 50% older than Carlos. How old is Alicia today?
Answer:
13 yearsStep-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the
balance with a 5.4% annual interest loan for 36 months. The sales tax in your city is 7.6%, and the license and title
charges are $125.13. Determine the amount that the credit union will finance you for. Round your answer to the nearest
cent.
a $24,179.10
c. $21,761.20
b. $24,169.60
d. $21,752.64
Answer:
(b) [tex]\$24,169.60[/tex]
Step-by-step explanation:
Given: Cost of car is [tex]\$22,346.16[/tex]
Sales tax is [tex]7.6\%[/tex]
The license and title charges are [tex]\$125.13[/tex]
To find: The amount that the credit union will finance.
Solution:
We have,
Cost of car[tex]=\$22,346.16[/tex]
Sales tax is [tex]7.6\%[/tex] of [tex]\$22,346.16[/tex]
Therefore,
sales tax [tex]=\frac{7.6}{100}\times22,346.16=\$1698.31[/tex]
The license and title charges [tex]=\$125.13[/tex]
Now, the amount that the credit union will finance is
cost of car[tex]+[/tex]sales tax[tex]+[/tex]the license and title charges
[tex]=\$22346.16+\$1698.31+\$125.13[/tex]
[tex]=\$24,169.60[/tex]
Hence, the amount that the credit union will finance is [tex]\$24,169.60[/tex].
So, (b) [tex]\$24,169.60[/tex] is correct.
Answer:
b.
$24,169.60
Step-by-step explanation:
hope it helps :)
Solve the equation.
-1/6x - 5 = 2/3x
Please type step-by-step explanation.
Answer: Solution
=
−
6
Step-by-step explanation:
Answer:
X = -6 plz brainliest
Step-by-step explanation:
-1/6x - 5 = 2/3x
Get rid of the smallest amount of x by adding 1/6x to both side
-5 = 5/6x
Divide both side by 5/6
-6 = x
X = -6
What is the division problem for 3 1/5?
Answer:
16÷5 is the division problem
Find the value of x. 8,13,x
Answer:
x=18
Step-by-step explanation:
Key skills needed: Arithmetic Sequences, Addition
1) We have a sequence of 8,13,x
2) To find the number being added every time, we do 13-8. This is 5.
3) This means x would be 13+5
4) 13+5 is 18 so x is 18.
Hope you understood and have a nice day!! :D
Where are the images of points A, B, C, and D after the reflection across the x-axis?
x/4+2=10
what is x in equation?
Answer:
x = 32
Step-by-step explanation:
x/4 + 2 = 10
subtract 2 on both sides
x/4 + 2 - 2 = 10 - 2
x/4 = 8
Multiply 4 on both sides
x/4 * 4 = 8 * 4
x = 32
__________________________________________________________
Check:
32/4 + 2 = 10
8 + 2 = 10
10 = 10 CORRECT
Hope this helped!
• The website is offering a discount of $7.50 on all Bolga basket orders.
Which expression can you use to find the total price of a basket order?
7.5b + 42
426 - 7.5
7.5b - 42
42b + 7.5
The expression which can be used to find the total price of a basket order is [tex]T=42b - 7.5[/tex]
Let the basket orders be b.Given the following data:
Discount = $7.50Cost of orders = $42To determine which expression can be used to find the total price of a basket order:
Since the basket orders had a discount of $7.50, this discount would be substracted from the cost price of the orders, in order to find the total price. Also, the total cost price would be multiplied by number of basket orders.
Mathematically, this is given by this expression:
[tex]T=42b - 7.5[/tex]
Read more on discount here: https://brainly.com/question/933761
Given point P(8, -3) and Q(3,9), What is the
midpoint of PO?
Answer:
(5.5,3)
Step-by-step explanation:
-3y - 12< -6
Help i need this for an assignment and i’m almost done this is the last question
Answer:
y>2
Step-by-step explanation:
-3y-12<-6
-3y<6
y>2
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
Answer:
y>-2
Step-by-step explanation:
-3y-12<-6 (move the constant to the right)
-3y<-6+12 (calculate)
-3y<6 (divide both sides)
solution: y>-2
hope this helps!
Use the figure to find the measures of the numbered angles. a 107 b mm
Select the correct answer.
Which graph represents this equation?
5y = x + 5
Answer:b
Step-by-step explanation:
Start at 7:30pm
add 46 minutes
add 20 minutes
add 53 minutes
Answer:
Start at 7:30pm
add 46 minutes = 8:16 Pm
add 20 minutes = 7:50 Pm
add 53 minutes = 8:23 Pm
Step-by-step explanation:
In a rectangle FGHI, diagonals FH and GI intersect at E
What is the length of FH?
Answer:
The length of [tex]\overline {FH}[/tex] is;
D. 38 units
Step-by-step explanation:
The given parameters are;
The type of the given quadrilateral FGHI = Rectangle
The diagonals of the quadrilateral = [tex]\overline {FH}[/tex] and [tex]\overline {GI}[/tex]
The length of IE = 3·x + 4
The length of EG = 5·x - 6
We have from segment addition postulate, [tex]\overline {GI}[/tex] = IE + EG
The properties of a rectangle includes;
1) Each diagonal bisects the other diagonal into two
Therefore, [tex]\overline {FH}[/tex] bisects [tex]\overline {GI}[/tex], into two equal parts, from which we have;
IE = EG
[tex]\overline {GI}[/tex] = IE + EG
3·x + 4 = 5·x - 6
4 + 6 = 5·x - 3·x = 2·x
10 = 2·x
∴ x = 10/2 = 5
From which we have;
IE = 3·x + 4 = 3 × 5 + 4 = 19 units
EG = 5·x - 6 = 5 × 5 - 6 = 19 units
[tex]\overline {GI}[/tex] = IE + EG = 19 + 19 = 38 units
[tex]\overline {GI}[/tex] = 38 units
2) The lengths of the two diagonals are equal. Therefore, the length of segment [tex]\overline {FH}[/tex] is equal to the length of segment [tex]\overline {GI}[/tex]
Mathematically, we have;
[tex]\overline {FH}[/tex] = [tex]\overline {GI}[/tex] = 38 units
∴ [tex]\overline {FH}[/tex] = 38 units.
Take your time with this. What are the answers for C and D? Will mark Brainliest.
Answer:
Step-by-step explanation:
Part C- y=20x+600
Part D- To part D find the equations for all the cities.
Everett- y=15x+550
Chelsea- y=20x+600
Revere- y=50x+300
Since 2030 is 14 years away from 2016 x will equal 14.
Plug in 14 to each of the equations. Whichever has the highest result will be the answer.
Everett- y=15(14)+550 -----> y=760
Chelsea- y=20(14)+600 -----> y=880
Revere- y=50(14)+300 -----> y=1000
Revere will have the most chromebooks.
I NEED HELPPPPPP!!!! :DDDD WILL MARK BRAINLIEST TO THE BEST ANSWER!!!! PLEASE SHOW ALL SOLUTIONS!!!! In triangle ABC, the exterior angle at A measures (3x + 10)°, the exterior angle B measures (5x)°, and the exterior angle C measures (2x + 4)°. Determine the measure of the interior angle at A. THANK YOU AND GOD BLESS....!!!!
9514 1404 393
Answer:
∠A = 66.2°
Step-by-step explanation:
The sum of exterior angles of any polygon is 360°, so you have ...
(3x +10)° +(5x)° +(2x +4)° = 360°
10x +14 = 360 . . . . . . . . . . . . . . .collect terms, divide by °
x + 1.4 = 36 . . . . . . . . . divide by 10
x = 34.6
The interior angle at A is the supplement of the exterior angle there:
∠A = 180° -(3x +10)° = 180° -(3(34.6) +10)°
∠A = 66.2°