Answer:
a. (x+2)(x+3)
b. x = -2
x = -3
Step-by-step explanation:
a.
split 5x into 2x + 3x
then, you get
x² + 2x + 3x + 6
Split into (x² + 2x) + (3x + 6)
factorize individual groups
x (x + 2) + 3 (x + 2)
combine x + 3
your final answer is
(x + 2) (x + 3)
b.
if (x + 2) (x + 3) = 0
then (x+2) = 0 and (x+3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Answer:
A)(x+2)(x+3)
B)(x + 2) (x + 3) = 0
x + 2 = 0
x = -2
x + 3 = 0
x = -3
Step-by-step explanation:
please answer this question.
Answer:
Solution given:
CD=18m
In ∆ ACD
Tan 35=opposite/adjacent
Tan 35=CD/AC
AC=18/Tan35
AC=25.7m
again
In ∆ BCD
Tan 60=opposite/adjacent
Tan 60=CD/BC
BC=18/tan60
BC=10.4
we have
AC=AB+BC
AB=25.7-10.4
AB=15.3
Distance between A and B point is 15.3 metre
A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2.
This problem can be represented using the following equation.
How much time will the ball take to reach the ground? (1/2)32t^2+16t=480
Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
Si 3 alumnos inasistentes de un curso corresponde al 10%. ¿Cuántos alumnos tiene el curso?
a)13 b) 27 c) 30 d) 110
Question 1 of 10
A density curve for all the possible ages between 0 years and 25 years is in
the shape of a triangle. What is the height of the triangle?
A. 0.04
B. 0.08
C. 0.02
D. 0.16
Step-by-step explanation:
A density curve for all the possible ages between 0 years and 25 years on the shape of a triangle. 0.04
Which of these are polygons?
On
А
B
o
D
F
G
G
Answer:
B C and F
Step-by-step explanation:
Polygons are closed shaped with straight lines
D and E have curves therefore they cannot be classified as polygons
A is not closed therefore it A is not a polygon
B, C and F are closed and use only straight lines therefore those 3 are polygons
Hawkeye Elementary School is having a raffle for students who are in sports. The school leaders are voting to choose between the two options below.
i. Option 1: Raffle off two items and include all boys and girls in each raffle.
ii. Option 2: Have a separate raffle for boys and a separate raffle for girls.
Not in sports In sports Total
Girls 17 18 35
Boys 17 21 38
Total 34 39 73
Required:
If you get to vote and you have a daughter in sports, which option would you vote for and why?
Answer:
The answer is "0.052 and 0.056".
Step-by-step explanation:
For option 1:
Your daughter's opportunity (in sport) (when a person only wins once)
[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]
For option 2:
Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]
So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.
This graph shows the cost of a small cheese pizza at 3 different restaurants. a) explain how the size of the bars gives a false impression about the cost of the pizza at different restaurants.
I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)
Which situation would be represented with the integer -72? Select all that apply.
A hike of 72 feet.
A gain of 72 yards, but a loss of 72 yards, ending back at 0.
A withdrawal of 72 dollars.
A height of 72 inches.
A depth of 72 feet.
HELP THIS IS THE LAST TEST OF THE YEAR PLZ HELPP QUICK!!
Answer:
A withdrawal of 72 dollars & E) a depth of 72 feet
Step-by-step explanation:
It is negative, which means subtract. So we will take away 72 dollars.
A depth of 72 feet is also negative since we are going down.
Which of the following is geometric sequence
A. 1,1/2,1/4,1/8
B.2,4,6,8
C.1,1,2,3,5
D.7,4,1,-2
Answer:
A
Step-by-step explanation:
...................
Answer:
here's the whole unit test
Step-by-step explanation:
ur welcomeeeee ;)
What combination of variables could you analyze using correlation?
religious identification & life satisfaction
IQ score and annual income
ethnic identification & average # of children
preferred genre of music & age
Answer:
YOu have to add them i think
Step-by-step explanation:
First add the 3-4 and then finish it
Which drawing wouldn’t be useful to find the area of this trapezoid? and why ?
Answer:
C
Step-by-step explanation:
Though you may think that u can change that piece to there, but the possibility is very less
I Need Help With This Don’t Seem To Understand 8
IT
Answer:
44.402
Step-by-step explanation:
Equation
SA = 2L*W + 2L*H + 2*WH
Givens
L = 2.7
W=1.13
H = 5
Solution
LW = 2.7 * 1.13 = 3.051
LH = 2.7 * 5 = 13.5
WH = 1.13 * 5 = 5.65
SA = 2*3.051 + 2*13.5 + 2*5.65
SA = 6.102 + 27 + 11.3
SA = 44.402
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
Which expression is equivalent to 14x^8y^10
Answer:
The answer for this problem is 2xy^6 * 7x^7y^4 (C).
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
5c + 40 + 2 and 5c + 2(2c + 1)
Answer:
5c + 42 and 9c + 2
Step-by-step explanation:
if a number has a variable next to it then it cannot be combined with a number that is alone.. Therefore there is no exact answer unless the variable has a number that you can replace it with. So basically numbers with the same number can be added together and numbers alone can be added together. If you do the math right then you should get the answer.
For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.
27
18
90
48
Answer:
This is the explanation you can find answer by rolling it.This morning, the cafe served 8 coffees in all, 75% of which were regular. How many regular coffees did the cafe serve?
Answer:
6 regular coffees. Thank it if its helpful, thank you!
Step-by-step explanation:
75% of 8 is 6
Reasoning:
75/100*8/1=600/100
600/100=6!
Answer:
Regular coffee served by cafe = 75%* 8
= 75/100*8 = 6 coffees
Step-by-step explanation:
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
A: 4x − y = −6
B: x + 4y = 7
C: x − 4y = −9
D: 4x + y = 2
Answer:
(B) x + 4y = 7
Step-by-step explanation:
Graph the system of equations. { -x +2y = -8, 2x + y =6. Will Mark Brainliest. Need ASAP
Answer:
Graph the -x+2y=-8 as y=1/2x-4
and 2x+4=6 as y=-2x+6
Step-by-step explanation:
hope you understand how to graph y=mx+b equations.
6y + 15 = A (2y +B)
Find the values represented by
A and B.
A. A = 3 , B = 3
B. A = 2 , B = 5
C. A = 3 , B = 5
D. A = 6 , B = 15
Please guys give me the answer
Step-by-step explanation:
C. A =3 , B = 5
6y + 15 = 3 ( 2y + 5 )
A = 3
B = 5
Rectangle PQRS is shown with its diagonals, PR and QS.
Rectangle P Q R S is shown. Diagonals are drawn from point P to point R and from point S to point Q and intersect at point T.
What type of triangle is △STR?
right triangle
equilateral triangle
isosceles triangle
scalene triangle
Answer:
the triangle is an isosceles triangle
The type of triangle STR is Isosceles triangle
Properties of a rectangleOpposite side are parallelOpposite sides are congruentOpposite angles are congruentDiagonal are congruent and they bisect each other.Since the diagonal bisect each other, the triangle STR formed has two opposite sides equal to each other and the base angle of the triangle STR are congruent.
Therefore, triangle STR is an Isosceles triangle.
Isosceles triangle have two of it sides equal to each other.
learn more on rectangle here: https://brainly.com/question/2229933
1. A is a quadrilateral with exactly one
pair of parallel sides.
True or false you can rely solely upon induction to prove that your conclusion is correct
Answer: You can rely solely upon induction to prove that your conclusion is correct is a FALSE STATEMENT. Inductive reasoning is the logical method that is used to yield a probable conclusion with the help of a specific instances
Step-by-step explanation: i hope its correct :>>
write the exact value of the side length of a square with the given area. if the exact value is not a whole number, estimate the length.
100 square units
95 square units
36 square uits
30 square unts
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
147 cubic inches
Step-by-step explanation:
volume of the prism is length x breadth x height
3.5 x 7 x 6=147
the sum of 3 times mand 4 times m
Answer:
7mStep-by-step explanation:
Given ,
Sum of 3 times m = 3m
And 4 times m = 4m
Hence,
Sum is = 3m + 4m = 7m (Ans)
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
What is the square root of -1?
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
