Answer: [tex]F=15N[/tex]
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
[tex]F=ka[/tex]
Where [tex]F[/tex] is the force acting on the object, [tex]a[/tex] is the object's acceleration and [tex]k[/tex] is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting [tex]F=18[/tex] and [tex]a=6[/tex] into the equation and solving for [tex]k[/tex]:
[tex]18=k6\\k=\frac{18}{6}\\k=3[/tex]
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
[tex]F=3(5)\\F=15[/tex]
3. The result is:
[tex]F=15N[/tex]
The acceleration that an objects gains is given by the mass of the object.
If the acceleration of the object becomes 5 m/s² the force is 15 N.Reason:
The given parameters are;
The acting force ∝ The acceleration of the object.
The acceleration given by an amount of force, F, of 18 N = 6 m/s²
Required:
The force acting on the object acceleration, a, is 5 m/s².
Solution:
According to Newton's Second Law of motion, we have;
F = m·a
Where;
m = The mass of the object
Therefore, we have;
[tex]Mass, \, m = \dfrac{F}{a}[/tex]
From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the
given object is given as follows;
[tex]Mass \ of \ the \ object, \, m = \dfrac{18 \, N}{6 \ m/s^2} = 3 \, kg[/tex]
The force acting when the the acceleration, a = 5 m/s², is therefore;
F = 3 kg × 5 m/s² = 15 N
If the acceleration of the object becomes 5 m/s² the force is 15 N.
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FIRST ANSWER WILL BE BRAINLIEST!!
prove that the sum of the measures of the interior angles of a triangle 180 degrees be sure to create and name in the appropriate geometric figures
Answer:
Step-by-step explanation:
if ABC is a triangle then <]ABC + <}BCA +<}CAB = 180 degrees
Poof:
Draw line a through points A and B. Draw line B through point C and parallel to line a
Since line a and b are parallel <] BAC = <] B'CA and <]ABC = <}BCA'.
it is obvious that <}B'CA + <}ACB + <]BCA' = 180 degrees
Thus <]ABC + <)BCA + <)CAB = 180 degrees
Lemma:
if ABCD is quadrilateral and <)CAB = <}DCA then AB and DC are parallel.
Step-by-step explanation:
Consider a triangle ABC and let ∠A + ∠B + ∠C = 180°
Construct a straight line DE running parallel to BC and passing though A.
Now let
∠BAC = 1
∠ABC = 2
∠ACB = 3
∠DAB = 4
∠EAC = 5
Therefore we know that
∠DAB = ∠ABC (alternate angles), so 4 = 2
∠EAC = ∠ACB (alternate angles), so 5 = 3
Now line CE is straight line and we know that angle for a straight line 180°.
Thus ∠DAB + ∠BAC + ∠EAC = 180°
or ∠ABC + ∠BAC + ∠ACB = 180°
or ∠A + ∠B + ∠C = 180°
Thus proved.
Can someone help me please giving a lot of points for these
Everyone else will be a congruent to the first one triangle.
Answer:
One
Step-by-step explanation:
You can only make one. This shows that one triangle
What is 5x + 8y =16 in slope intercept form
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have [tex]5x+8y=16[/tex]. Convert:
[tex]5x+8y=16[/tex] subtract 5x from both sides
[tex]8y=-5x+16[/tex] divide both sides by 8
[tex]\boxed{-\dfrac{5}{8}x+2}[/tex]
What number is the substitution of 4(3x+9) and 5x+8
Answer:
-4
Step-by-step explanation:
If the question is for which x the equations 4(3x+9) and 5x+8 produce the same answer, the answer is x=-4
4(3x+9) = 5x+8
12x + 36 - 5x - 8 =0
7x = -28
x = -4
1/2 x 4 + 1/2 x Z
A. 4(1/2 + Z)
B. Z(1/2 x 4)
C. 1/2 x (4 + 1/2) x Z
D. 1/2(4 + Z)
Answer:
D. 1/2(4 + Z)
Step-by-step explanation:
1/2 x 4 + 1/2 x Z
We can factor out a 1/2 since it is in both terms
1/2 (4+z)
[tex]\dfrac{1}2{\times4+\dfrac{1}{2}\times z=\boxed{\dfrac{1}{2}}\times4+\boxed{\dfrac{1}{2}}\times z=\boxed{\dfrac{1}{2}}\times(4+z)}\\\\Answer:\ \boxed{D.\ \dfrac{1}{2}(4+z)}[/tex]
Tessa drew a scale drawing of the elementary school. She used the scale 1 centimeter : 7 meters. The school yard is 7 centimeters in the drawing. How wide is the actual school yard?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
If 1cm = 7m
then:
7c = 49m
A light bulb consumes 600 watt-hours per day.how many watt-hours does it consumes in 3 days and 6 hours
Answer:
1950 watt-hours
Step-by-step explanation:
3 days and 6 hours is equivalent to 3.25 days because there are 24 hours in a day and 6/24 or 6 out of 24 is equivalent to 6÷24 which is 0.25.
0.25 + 3= 3.25 which is the time.
Multiply 3.25 by 600 to find the watt-hours in 3 days and six hours.
Please help
The tape diagram
Please Help Quick(ONLY #5)!!!
Answer:
$56.97
this is the answer:)
Answer: $56.97
=============================================
Explanation:
"25% off" means the buyer pays 75% of the original cost, ignoring any other taxes, fees, shipping, etc.
75% = 75/100 = 0.75
Multiply this decimal value with the original cost 72 and we get 0.75*72 = 54.
-----------
Now we compute the sales tax
5.5% = 5.5/100 = 0.055
0.055*54 = 2.97 is paid in tax
-----------
Add the sales tax ($2.97) to the discount price ($54) to get 54+2.97 = 56.97
We don't add on shipping because that is free. The sales tax is applied after the discount is done, or else it would imply that the 25% discount didn't fully go through (ie you are paying some portion of what was promised to be saved)
A shortcut is to compute: 72*0.75*1.055 = 56.97 which allows us to basically find the answer in one single step. The 1.055 refers to the 5.5% tax multiplier. A similar trick can be used if you have multiple discounts applied simultaneously.
PLEASE HELP, THIS IS DUE TOMORROW!!!
Do number 1 all of the letters, a, b, c, d , e , and f.(its just connecting the equations).
for number 2, just do b and c.
if you know how to do 3, (b and c), that would be great.
a grasshopper can jump 2 feet . A football field is 100 yards long how many jumps will it take a grasshopper to travel the length of the football field
Answer: 150 jumps
Step-by-step explanation:
1 yard is = 3 ft.
100 yards is 300 ft.
300/2 = 150
Answer:150 jumps
Step-by-step explanation: so 1 yard is 3 feet. 100 times 3 is 300.
a grasshopper can jump 2 feet, so we need to divide by 2.
300ft divided by 2 is 150 jumps
Write a fraction with a decimal value between 1/2 and 3/4. Right both the fraction and the equivalent decimal.
Answer:
3/5 = .6
Step-by-step explanation:
1/2 in decimal form is .50, and 3/4 in decimal form is .75. We can choose any fraction that has the decimal form of .51 to .74. I'll choose .60.
.60 in fraction form is 60/100. We can simplify this down to 3/5.
Molly basic cell phone plan charges $35.99 for service plus $0.18 per minute beyond the included 250 minutes in the plan. How much will it cost Molly if she used her cell phone for 390 minutes in one month?
Answer: Her cell phone bill will cost her $61.19
Step-by-step explanation: If it cost 0.18 per min make sure you read the question right
Please answer question ASAP!!!!
Points I will give:25
what the simplified of 2/3 dived by 2/9
Answer:
3
Step-by-step explanation:
Divide [tex]\dfrac{2}{3}[/tex] by [tex]\dfrac{2}{9}:[/tex]
[tex]\dfrac{2}{3}:\dfrac{2}{9}=\dfrac{2}{3}\cdot \dfrac{9}{2}=\dfrac{2\cdot9}{3\cdot 2}=\dfrac{9}{3}=3.[/tex]
A box of cany holds 34 pieces when fiest opened. The box is 3/8 full. How many pieces of candy have been eaten?
Answer:
21.25 pieces of candy have been eaten.
Step-by-step explanation:
Pretty much, we have to start by finding how many times 8 can go into 34, which is 4.25. So if we are subtracting the whole from three eighths, 3/8 will equal 12.75/34. 34-12.75= 21.25. Therefore, 21.25 pieces of candy have been eaten.
write an equation of the line that passes through (2,-5) and is parallel to the line 2y=3x+10
Answer:
y=3/2+5
Step-by-step explanation:
Answer:
[tex]\frac{3}{2}x^{2} +5x-21[/tex]
Step-by-step explanation:
put into y=mx+b form
4 - 2x = 10 A) -7 B) -3 C) 0 D) 3
Answer:
B) -3
Step-by-step explanation:
4 - 2x = 10
Subtract 4 from each side
4-4 - 2x = 10 -4
-2x = 6
Divide by -2
-2x/-2 = 6/-2
x = -3
Answer:
x= -3
Step-by-step explanation:
First, you would subtract 4 from both sides to isolate the -2x, which makes -2x=6. Then to isolate the x, you divide by the negative 2 (negative because the subtract sign is before it.) to get x=-3
solve for x in the triangle
tan(angle) = opposite/adjacent
tan(37) = x/14
14*tan(37) = x
x = 14*tan(37)
x = 10.5497567
x = 10.5
Answer: 10.5
Out of 75 students, 15 are on the student council. What percent of the students are NOT on the student council?
Answer: 80%
15 are on the council, so 75-15 = 60 are not on the council. Therefore, 60/75 = 0.80 = 80% of the students aren't on the council.
An alternative way to find this answer is to compute 15/75 = 0.20 = 20% showing that 20% of the students are on the council, so 100% - 20% = 80% are not on the council.
To find the percent of students not on the student council, subtract the number of students on the council from the total number of students and calculate the percentage.
Explanation:To find out what percent of the students are NOT on the student council, we need to subtract the number of students who are on the student council from the total number of students and then calculate the percentage.
Number of students on the student council: 15
Total number of students: 75
Number of students NOT on the student council: 75 - 15 = 60
Percentage of students NOT on the student council: (60/75) * 100 = 80%
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Ram’s salary for a year at his job is $56,000. He gets paid semi-monthly. How much does Ram gross each pay period?
Answer:
50,000
Step-by-step explanation:
Write an equation in slope-intercept form of the line parallel to y=8x-8 through (5,2)
Answer:
The equation would be y = 8x - 38
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation 8. Since parallel lines have the same slope, our new slope will also be 8.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 2 = 8(x - 5)
y - 2 = 8x - 40
y = 8x - 38
The equation of the line in point slope form is y = 8x - 38
The formula for calculating the equation of a line in point slope form is expressed as:
[tex]y-y_0=m(x-x_0)[/tex]
Given the equation of a line as y = 8x - 8
Slope m = 8
Point = (5, 2)
Get the required equation in point slope form as shown:
[tex]y-2=8(x-5)\\y-2 = 8x - 40\\y = 8x - 40 + 2\\y =8x-38[/tex]
Hence the equation of the line in point slope form is y = 8x - 38
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Please help with this word problem
Yankees wins to mets losses. Yankees wins 15. mets losses 12. use this and write the ratio.
Answer:
5:4
Step-by-step explanation:
The original ratio would be 15:12 and then you can simplify by dividing both sides by 3. So the resulting ratio would be 5:4.
Answer:
5:4
Step-by-step explanation:
The ratio is 15:12. We can simply that by dividing both sides by 3 and get 5:4. So the simplified ration is 5:4
need help with these questions. show work to plzzzz
[tex]2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}[/tex]
[tex]4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}[/tex]
Find the solution to this system 5x-2y=-11 -2+5y=17
Answer:
The answer is x= -17/25 y= 19/5
Step-by-step explanation:
The system of equations 5x-2y=-11 and -2+5y=17 has the solution x=-1.4 and y=3.8 after substitution and simplification.
Explanation:The given system of equations is 5x-2y=-11 and -2+5y=17. To solve this system, we need to isolate the variables. Let's start by cleaning up the second equation to 5y=19, you do that by adding 2 on both sides. This implies y=19/5 or y=3.8. Now, we can substitute y into the first equation: 5x - 2*(3.8) = -11. Solve this for x and you get x=-1.4. So the solution to the system of equations is x=-1.4 and y=3.8.
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Select the correct answer from the drop-down menu.
Twenty cards are drawn from a pack of cards at random.
The sequence ________ is the closest to the probability of drawing a queen or a king from the pack.
A: 5 6 8 2 Q 4 8 3 2 A 2 3 10 J J 4 A 5 3 8
B: K J 5 8 4 3 6 Q 9 J Q 2 8 Q 9 2 Q A 7 K
C: 3 8 3 2 7 4 J A 6 3 2 A A 6 3 8 6 10 5 4
D: 4 8 6 K J 7 Q 3 A K 2 5 8 9 10 2 4 A 67
Answer:
Answer is D (got it right on plato)
Step-by-step explanation:
There are 4 of each king and queen in each standard deck of 52 cards.
4+4=8
8/52=0.1538 or 15.38%
Twenty cards are chosen from a pack of cards at random
In A there are 0 kings and 1 queen
0+1= 1; 1/20=.05 or 5%
In B there are 2 kings and 4 queens
2+4=6; 6/20=0.3
In C there are 0 kings and queens
0/20=0
In D there are 2 kings and 1 queen
2+1= 3; 3/20=0.15 or 15%
D is your answer because it is the closest to the probability (0.1538 or 15.38%)
Answer:
4 8 6 K J 7 Q 3 A K 2 5 8 9 10 2 4 A 67
Step-by-step explanation:
William was going to sell all his stamp collection to buy a video game. After selling half of them he changed his mind. He then bought 6 more. How many did he start with if he now has 32?
Answer:52 stamps
Step-by-step explanation: He has 32 now. You subtract 6, as he bought 6 more. Then you double this as he sold half. That gives you 52
Starting with the equation (x/2) + 6 = 32, we solve for x to find that William originally had 52 stamps in his collection.
Explanation:Let's use algebra to solve the problem William faced with his stamp collection. We can let the variable x represent the original number of stamps William had. According to the question, he sold half of his stamps and then bought 6 more, ending up with 32 stamps. This can be expressed as the equation (x/2) + 6 = 32. To find the original number, we solve for x:
(x/2) + 6 = 32(x/2) = 32 - 6(x/2) = 26x = 26 * 2x = 52Therefore, William started with 52 stamps in his collection before he sold any to consider buying a video game.
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Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of garlic in every 900 mL of sauce.
A) its too garlicky
B) its not garlicky enough
C)it is perfect
Answer:
B) Not Garlicky enough.
Step-by-step explanation:
You divide 500 by 8 to make it a unit. Then multiply that by 12. That equals 750. Therefore there is not enough garlic.
A. F(x) < 0 on the interval x < 0.
B. F (x) > 0 on the interval x <0.
C. F (x) < 0 on the interval 0 < x < 1.
D. F (x) > 0 on the interval 0 < x < 1.
E. F (x) < 0 on the interval 1 < x < 3.
F. F (x) > 0 on the interval 1 < x < 3.
G. F (x) < 0 on the interval x > 3.
H. F (x) > 0 on the interval x > 3
f(x) > 0 - I and II quadrant
f(x) < 0 - III and IV quadrant
Look at the picture.
A. F(x) < 0 on the interval x < 0. TRUE
B. F (x) > 0 on the interval x <0. FALSE
C. F (x) < 0 on the interval 0 < x < 1. TRUE
D. F (x) > 0 on the interval 0 < x < 1. FALSE
E. F (x) < 0 on the interval 1 < x < 3. FALSE
F. F (x) > 0 on the interval 1 < x < 3. TRUE
G. F (x) < 0 on the interval x > 3. TRUE
H. F (x) > 0 on the interval x > 3. FALSE