Answer:
1.92
Step-by-step explanation:
9.6 divided by 5 = 1.92
Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.
The coordinates of P are (12, 2).
Solution:
Given data:
A = (4, 2) and B = (22, 2)
P(x, y) is the point on the line segment AB.
AP : PB = 4 : 5.
Section formula:
[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]
Here, [tex]x_1=4, y_1=2, x_2=22, y_2=2[/tex] and m =4, n =5.
[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]
[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]
[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]
P(x, y) = (12, 2)
Hence the coordinates of P are (12, 2).
A baker is going to triple his cake recipe.If the original recipe call for two thirds cup of oil,how much oil will he need.
Answer: 6/3
Step-by-step explanation: The reason it's 6/3 is, if he's going to triple the amount of oil that means he multiplying 3 because triple = 3 and he normally uses 2/3 so mutliply that and you get 6/3 ! If you need it simplifty its 2! Hope this helps.
Expressions equivalent to 4(4r +2)
Answer:
16r+8
Step-by-step explanation:
Write a situation that could be represented by the algebraic expression 3s + 2.15.
The algebraic expression '3s + 2.15' can represent a real-life situation where you're shopping for food. If sandwiches cost $3 each and a soda costs $2.15, the total you'd spend on 's' sandwiches and one soda is 3s + 2.15 dollars.
Explanation:Here is a scenario that could represent the expression 3s + 2.15: Imagine you're in a store and each sandwich costs $3.00. You're planning to buy 's' number of sandwiches. Now, let's say you also want to buy a soda which costs $2.15. The total cost you will spend in the store would be the cost of the 's' sandwiches plus the cost of the soda, which can be represented by the expression 3s + 2.15. So if you bought 2 sandwiches, the total cost would be 3*2 (for the sandwiches) + 2.15 (for the soda) = $8.15.
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the product of 2x -3 and x+4 can be expressed as
Answer:
2x^2 + 5x - 12
Step-by-step explanation:
(2x - 3) (x + 4)
= 2x^2 + 8x - 3x -12
= 2x^2 + 5x - 12
A number cube has sides labeled 1 to 6. Connie rolls the number cube 12 times She rolls a 5
three times. What is the experimental probability that her next roll will be a 5?
¹/24
Step-by-step explanation:
The number of favorable outcomes (rolling a 5) is 3
The total number of possible outcomes is 12 * 6 = 72
Therefore;
P(5) = 3/72
= 1/24
Which is less 2.5 or -2.5? Answer asap pls!
Answer:
-2.5
Step-by-step explanation:
-2.5 is under 0 and 2.5 is positive so -2.5 is less
Hope this helps!
6/8 bigger or less than 1/2
Answer:
6/8 is greater than 1/2
Step-by-step explanation:
6 is over half of 8, its 3/4 of 8
Answer:
Bigger
Step-by-step explanation:
It is bigger. 1/2 equals 4/8, and 6/8 is greater than 4/8.
Solve 4^x + 3 = 9 for x using the change of base formula log base b of y equals log y over log b. A)4.585 B)3.578 C)−1.415 D)−2.422
Answer:
the answer is C) -1.415
Step-by-step explanation:
Just did the test and plugged it into desmos this is the closest answer
Answer:
the answer is -1.415
Step-by-step explanation:
Just finished the test and the correct answer is -1.415
What is the equation of a circle with a center of (-2, -1) and radius of √2?
Answer:
(x + 2)² + (y + 1)² = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Here (h, k) = (- 2, - 1) and r = [tex]\sqrt{2}[/tex], thus
(x - (- 2))² + (y - (- 1))² = ([tex]\sqrt{2}[/tex] )², that is
(x + 2)² + (y + 1)² = 2 ← equation of circle
Answer: Answer is 2 can I get brainliest pls
Step-by-step explanation: Have a good one
What is the product of 4 and the sum of 3 and 7
Answer:
40
Step-by-step explanation:
4(3+7)
4(10)
40
Quadrilateral ABCD is inscribed in this
circle.
What is the measure of angle A?
Enter your answer in the box.
The measure of angle A is 88°.
Solution:
Given data:
∠A = (2x – 40)°, m∠B = 116° and ∠D = x°
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠B and ∠D are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠B+ m∠D = 180°
⇒ 116° + x = 180 °
Subtract 116° from both sides of the equation, we get
⇒ x = 64 °
To find the measure of angle A:
m∠A = (2x – 40)°
= 2(64°) – 40°
m∠A = 88°
Hence the measure of angle A is 88°.
Find the zeros of the function.
Write the smaller solution first, and the larger solution second.
g(x)=(-5x– 1)(2x + 8)
smaller x=
larger x =
Answer:
x = - 4, x = - [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
To find the zeros let g(x) = 0, that is
(- 5x - 1)(2x + 8) = 0 ← in standard form
Equate each factor to zero and solve for x
- 5x - 1 = 0 ( add 1 to both sides )
- 5x = 1 ( divide both sides by - 5 )
x = [tex]\frac{1}{-5}[/tex] = - [tex]\frac{1}{5}[/tex]
2x + 8 = 0 ( subtract 8 from both sides )
2x = - 8 ( divide both sides by 2 )
x = - 4
Thus
smaller x = - 4
larger x = - [tex]\frac{1}{5}[/tex]
Make x the subject of h=4(x+3y)+2
Answer:
[tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle h = 4(x + 3y) + 2[/tex]
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2 on both sides: [tex]\displaystyle h - 2 = 4(x + 3y)[/tex][Division Property of Equality] Divide 4 on both sides: [tex]\displaystyle \frac{h - 2}{4} = x + 3y[/tex][Subtraction Property of Equality] Subtract 3y on both sides: [tex]\displaystyle \frac{h - 2}{4} - 3y = x[/tex]Rewrite: [tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]Tyrone launches a toy rocket into the air with an initial upward velocity of 49 ft/s and an initial height of 0 ft. a. How long will it take the rocket to reach its maximum height? Round to the nearest hundredth. b. How high above the ground will it be? Round to the nearest tenth. c. What is the range of the function? d. Why is there a maximum point on the graph of this function?
a. It will take 1.53 seconds for the rocket to reach its maximum height.
b. The rocket will reach a maximum height of 38.04 ft (rounded to the nearest tenth).
c. The range of the function h(t) is bounded below by h0 (0 ft) and above by h_max (38.04 ft). In mathematical notation, the range is:
Range = {h | h ∈ R, h0 ≤ h ≤ h_max}
d. The maximum point on the graph of the function exists because of the negative coefficient of the t^2 term (-16).
**a. Time to reach maximum height:**
The rocket's motion can be modeled by the formula:
h(t) = -16t^2 + vt + h0
where:
* h(t) is the height of the rocket at time t
* t is the time in seconds
* v is the initial upward velocity (49 ft/s)
* h0 is the initial height (0 ft)
We need to find the time t when the height h(t) is maximum. Since the acceleration due to gravity (-16 ft/s^2) is negative, the maximum height happens at the vertex of the parabola represented by the equation.
The time to reach the vertex can be found using the formula:
t_vertex = -v / (2a) = -49 / (2 * -16) = 1.53 seconds (rounded to the nearest hundredth)
Therefore, it will take 1.53 seconds for the rocket to reach its maximum height.
**b. Maximum height:**
Now, plug the t_vertex value back into the equation to find the maximum height:
h(1.53) = -16(1.53)^2 + 49(1.53) + 0 = 38.04 ft
Therefore, the rocket will reach a maximum height of 38.04 ft (rounded to the nearest tenth).
**c. Range of the function:**
The range of the function depends on the initial parameters (velocity and height) and the gravitational acceleration. Since the acceleration due to gravity is always negative, it acts as a downward force pulling the rocket back down. This means the highest point the rocket can reach is its initial height plus the maximum height achieved due to the initial velocity.
Therefore, the range of the function h(t) is bounded below by h0 (0 ft) and above by h_max (38.04 ft). In mathematical notation, the range is:
Range = {h | h ∈ R, h0 ≤ h ≤ h_max}
**d. Reason for the maximum point:**
The maximum point on the graph of the function exists because of the negative coefficient of the t^2 term (-16). This term represents the downward force due to gravity, which continuously slows down the rocket's upward motion. Eventually, the upward velocity becomes zero, and the rocket starts descending due to gravity. This point of zero velocity corresponds to the vertex of the parabola, which represents the maximum height achieved.
In any given year, a factory has a 20% probability of having an accident. About every how many years might the factory expect to have an accident?
Every 1 year
Every 2 years
Every 5 years
Every 20 years
Answer:
Probability of having an accident = 20% o 0.2
Thus,
Expected number of years = 1/probability of accident = 1/0.2 = 5
Hence,
3. Every 5 years is the correct option.
Step-by-step explanation:
The factory will expect to have an accident every 5 years.
The probability of having an accident in the factory = 20% = 20/100 = 0.2
It should be noted that the highest likelihood for an event happening is 100% which is represented by 1.
Therefore, the number of years that the factory expect to have an accident will be:
= 1 / probability of having an accident
= 1/0.2
= 5 years
In conclusion, the factory will expect an accident every 5th year.
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A novelty store sells 8 comic books for every 3 action figures. On Monday, they sold 32 comic books. On Tuesday, they sold 18 action figures. What is the difference between the number of action figures sold on Monday and Tuesday?
Answer:
6 action figures
Step-by-step explanation:
8 Comic books for every 3 action figures;
Ratio = 8:3
Monday =
32 Comic books: X
1 part = 32/8 = 4
X = 4 * 3 = 12
Therefore 12 action figures were sold on Monday.
Difference between Monday and Tuesday is 18-12 which is 6 action figures.
Final answer:
The answer provides a step-by-step explanation to find the difference in the number of action figures sold on Monday and Tuesday.
Explanation:
The difference between the number of action figures sold on Monday and Tuesday can be calculated as follows:
Given that the store sells 8 comic books for every 3 action figures, on Monday they sold 32 comic books, which is equivalent to 12 action figures (32 comic books ÷ (8 comic books/3 action figures)).
On Tuesday, the store sold 18 action figures directly. To find the difference, subtract the number of action figures sold on Monday from Tuesday's sales: 18 action figures - 12 action figures = 6 action figures.
Just I need is solve for x.
Answer:
x=6
Step-by-step explanation:
Since the figure has 4 sides, the total of all of the angles add to 360 as:
180(n-2)=T
180(4-2)=T
180(2)=T
360=T
Now we can set up an equation and solve for x:
17x+8+74+110+66=360
17x+258=360
17x=102
x=6
So x=6
.
A semi truck can hold up to 200 gallons of fuel. Which
inequality shows this using g for the amount of fuel the
semitruck can hold?
Ava said she wrote an expression with three terms. She said the first term ha the coefficient 7,the second term have the coefficient 1,and the third has the coefficient 0.1. Each term involves a different variable. Write an expression that could be the expression ava wrote.
Answer:
7*x + y + 0.1*z
Step-by-step explanation:
An expression that satisfy what Ava said she wrote is the following:
7*x + y + 0.1*z
because
it has 3 terms (each summand);the coefficient (the number that multiplies the variable) of the first term is 7, of the second term is 1 (it is omitted because 1*y = y) and of the third term is 0.1;each term involves a different variable: x, y and z.Answer:
The expression can be written as
7a + b + 0.1c
Step-by-step explanation:
Ava wrote an expression with three terms . According to the question each term involve a different variable. This means the term have different value. Since the term have different variable, each term can be represented as follow:
a , b and c
The first term which is a has a coefficient of 7. The second term which is b has a coefficient of 1 and the last term which is c has a coefficient of 0.1.
The coefficient of any value is usually the number in front of it.
The three terms and their coefficients can be expressed as follows:
First term and coefficient = 7a
Second term and coefficient = 1b
Third term and coefficient = 0.1c
The expression Ava wrote can be represented as follows
7a + b + 0.1c
Note an expression that contains variable , symbols( +, - ) and numbers is known as an algebraic expression. And
7a + b + 0.1c is an algebraic expression.
Charlie can make 440 pizzas in 8 hours. How many pizzas can he make in 2p
one hour?
Answer:110 in 2 hours
Step-by-step explanation:
440/80 = 55/1 (55/1x2)
Answer:
I am confused with the question
Step-by-step explanation:
can you correct your spelling
Johnny has 85 cupcakes and then Johnny eats 47 cupcakes how many cupcakes does Johnny
eat
Answer:38
Step-by-step explanation:he has 38 cupcakes leftover
or it could be 47 as it states he has ate 47
list all natural numbers less than 200 that are divisible by 3, 4, and 5.
Answer: the answer Are 60,120,180
Step-by-step explanation:
Answer:
60,120,180
Step-by-step explanation:
What is the missing side length in the triangle below?
Answer:
72
Step-by-step explanation:
180-78-30=72
What the geometric mean between 12 and 18
Answer: 14.7
Step-by-step explanation:
Data : 12,18
Total Number of Values, N = 2
Step 1 : Find 1 / N
1 / N = 1 / 2 = 0.5
Step 2 : Find mean
GM = ( 12 * 18 )^ 0.5
= 14.7
Step-by-step explanation:
The geometric mean between 12 and 18 =
[tex] \sqrt{12 \times 18} [/tex]
[tex]6 \sqrt{6} [/tex]
[tex]14.69[/tex]
14.7
what is the solution of n2 - 49 = 0
Answer:
n = 7 , n = -7
Step-by-step explanation:
n^2 - 49 = 0 (Given)
n^2 = 49 (Add 49 on both sides)
n = plus or minus 7 (Square root on both sides)
Answer: “ n = ± 7 ” .
_________________________________
→ that is; “ n = 7 ” ; or: “ n = -7 ” .
_________________________________
Step-by-step explanation:
_________________________________
Given:
n² − 49 = 0 ; Solve for "n" .
_________________________________
Add "49" to each side of the equation:
→ n² − 49 + 49 = 0 + 49 ;
to get:
→ n² = 49 .
_________________________________
Now, take the "square root" of each side of the equation;
to isolate "n" on one side of the equation;
& to solve for "n" ;
_________________________________
→ | √(n²) | = |√49| ;
to get:
→ n = ± 49 .
_________________________________
Hope this helps!
Best wishes in your academic endeavors
— and within the “Brainly” community!
_________________________________
What’s A cylinder with a radius of 8yd and a 12 height of yd
Answer:
192π yd²
Step-by-step explanation:
Surface area of a cylinder = 2πrh
Given, r = 8yd , h = 12yd
S. A = 2 × π × 8 × 12
S. A = 192π yd²
I hope this was helpful, please mark as brainliest
which pair of expressions below are equivalent?
A 7(2x)and 9x
B 3x + 5x and 15x
C 4(2x - 6)and 8x -24
D x + x + x +x and x^{4}
Answer:
C
Step-by-step explanation:
4 times 2x is 8x and 4 times -6 is -24 and this put together would equal 8x - 24. So, it is B
Answer:
its c!
Step-by-step explanation:
4 (2x-6) and 8x-24 are equivalent i could elaborate a little more
The length of a rectangle is 3cm more than twice the width. The perimeter is 84 cm. Find the dimensions .
Width of the rectangle is 13 cm and length is 29 cm.
Step-by-step explanation:
Step 1:
Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)
⇒ 84 = 6x + 6
⇒ 78 = 6x
∴ x = 13
⇒ Width of the rectangle = 13 cm
∴ Length of the rectangle = 2x + 3 = 29 cm
In a class of 150 students, 60 like music, 110 like sports and 35 like both music
and sports. If one student is selected at random, what is the probability that he
likes sports but not music?
Answer:
11/15 I think cause it's a pretty easy fraction
Final answer:
To determine the probability that a student randomly selected from a class likes sports but not music, calculate the difference between those who like sports and those who like both sports and music, then divide by the total students, resulting in a 50% probability.
Explanation:
The question asks for the probability that a student selected at random from a class likes sports but not music. To solve this, we first understand the problem as a set problem in mathematics. Given that 60 students like music, 110 like sports, and 35 like both music and sports, we can find the number of students who like only sports by subtracting those who like both sports and music from the total number of students who like sports. This calculation is 110 (students who like sports) - 35 (students who like both sports and music) = 75 (students who like only sports).
To find the probability, we divide the number of students who like only sports by the total number of students in the class. So, the probability is 75 (students who like only sports) / 150 (total students) = 0.5 or 50%.
Therefore, the probability that a student selected at random likes sports but not music is 50%.