Answer:
f(x) = 325*1.11ˣStep-by-step explanation:
Initial population = 325Increase rate = 11% or 0.11Required function is:
f(x) = 325(1 + 0.11)ˣ f(x) = 325*1.11ˣDetermine if the points A(1,-3), B(4,4), and C(5,8) are collinear.
0 Yes
Ο Νο.
O We do not have enough information to solve this problem.
Answer:
no
Step-by-step explanation:
since;
(4--3)/(4-1)≠(8-4)/(5-4)
ASAP what is the answer?
Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
A rectangle has length (x+3)cm and width (x-2).Given that it's area is 50cm2,find the dimensions of the rectangle
Answer:
length- 10cm, width- 5cm
Step-by-step explanation:
You want to convert this into an algebraic equation.
Since a=lw, in this case, 50=lw. Subbing (x+3) for l and (x-2) for w, we get the equation (x+3)(x-2)=50.
Using FOIL, we can expand the brackets to make x²-2x+3x-6=50 and collect like terms to x²+x-6=50.
We want all the numbers on one side (to use the null factor law), so we subtract 50 from both sides. This gives x²+x-56=0.
From there, we factorise it, which becomes (x-7)(x+8)=0. (I used the cross method for this)
With the null factor law, one of the brackets must be equal to 0, meaning x-7=0 or x+8=0. This gives x as either 7 or -8.
With measurement, units must be positive, meaning it has to be 7. We can sub this for x in the 2 equations (length and width) to get the answers.
Length=x+3 becomes 7+3, which is 10cm.
Width=x-2 becomes 7-2, which is 5cm.
**This content involves writing, expanding, and factorising quadratic equations, and the null factor law which you may wish to revise. I'm always happy to help!
If two side of a right angle triangle is 25cm and 15cm what is the length of the unknown side
Answer:
29.2 cm
Step-by-step explanation:
The two leg lengths are 15 and 25 cm and we are to find the length of the hypotenuse. The Pythagorean Theorem applies here because this is a right triangle.
a^2 + b^2 = c^2 becomes 15^2 + 25^2 = 225 + 625 = 850
The hypotenuse length is thus √850 ≈ 29.2 cm
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The answer is C≈49.64
Answer:
C=2πr=2·π·7.9≈49.63716
Step-by-step explanation:
brainliest??
i need help in this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
r=x(a+b) solve for A
Answer:
Step-by-step explanation:
r=x(a+b)/x
r/x=a+b-b
r/x-b=a
Jada walks up to a tank of water that can hold up to 10 gallons how many more minutes will it take for the tank to drain completely explain or show your reason
Answer:
7.5 minutes
Step-by-step explanation:
Given
See attachment for complete question
Let
[tex]t \to time[/tex]
[tex]y \to capacity[/tex]
From the question, we have the following points
[tex](t_1,y_1) = (0,7)[/tex] --- When he first sees it
[tex](t_2,y_2) = (3,5)[/tex] --- 3 minutes later
First, we calculate the rate (m)
[tex]m = \frac{y_2 -y_1}{t_2 -t_1}[/tex]
[tex]m = \frac{5 -7}{3 -0}[/tex]
[tex]m = -\frac{2}{3}[/tex]
The discharge rate is 2/3 gallons per minute
To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons
To calculate time (t), we have:
[tex]Rate * Time = Capacity[/tex]
[tex]\frac{2}{3} * t = 5[/tex]
Solve for t
[tex]t = 5 *\frac{3}{2}[/tex]
[tex]t = \frac{15}{2}[/tex]
[tex]t = 7.5[/tex]
Explain why angle “a” must be 135
What are the possible steps involved in solving the equation shown? Select three options.
3.5 + 1.2(6.3 - 7x) = 9.38
O Add 3.5 and 1.2.
O Distribute 1.2 to 6.3 and -7x
O Combine 6.3 and -7x
O Combine 3.5 and 7.56.
D Subtract 11.06 from both sides.
Answer:
Distribute 1.2 to 6.3 and -7x
Combine 3.5 and 7.56
suhtract 11.06 from both sides
Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds since he let the mass free. How many seconds, to the nearest tenth, will it take for the mass to return to its original position?
Answer: 1.8 s
Step-by-step explanation:
Given
The height of the spring mass system above the table is given by
[tex]h(t)=6.85\cos (3.42t)+9[/tex]
The mass is performing S.H.M with frequency [tex]\omega =3.42[/tex]
and [tex]\omega T=2\pi[/tex]
[tex]\therefore T=\dfrac{2\pi }{\omega}[/tex]
time when mass returns to its original position
[tex]T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s[/tex]
The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
Calculation of the time in seconds:Since the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds
So here the time should be
[tex]= 2\pi \div 3.42\\\\= 2\times 3.14\div 3.42[/tex]
= 1.8 seconds
Therefore, The number of seconds, to the nearest tenth, will it take for the mass to return to its original position is 1.8 seconds.
Learn more about time here: https://brainly.com/question/24308516
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
the correct answer
A school bus has 25 seats, with 5 rows of 5 seats, 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second grade students occupy the first row?
ОА 2P20
OB gPg 20115
oc. gg* 25 C14
OD. SPg ISPIS
Ol. 9Pg x 2g Cis
Answer:
5P5 × 20P15
Step-by-step explanation:
i think...
sorry if im wrong
good luck
Maria rolls a six sided die. What is the possibility that she rolls a prime number?
1/6
1/3
1/2
2/3
Answer:
1/2
Step-by-step explanation:
2, 3, and 5 are the prime numbers. Therefore, it would be 3/6 or 1/2 chance she rolls a prime number.
What is the degree of the monomial 4x^2y^5
Answer:
5
Step-by-step explanation:
The highest power is 5 so the degree of the monomial is also 5.
help help help :)))))))
Answer:
✓✓ Area of traingle = 1.2 cm^2 ✓✓
Step-by-step explanation:
Hello mate (◕ᴗ◕✿)
=>> In above traingle, height and hypotenuse are given
=> height = 12 cm
=> Hypotenuse = 14 cm
✓✓ Area of traingle = 1/2(base*height) ✓✓
we need to find base of above traingle
Base = √Hypotenus - √Perpindicular
Base = √14 - √12
Base = 3.7 - 3.4
Base = 0.2 cm
Now, we can find area of traingle
Area of traingle = 1/2(Base*Height)
Area of traingle = 1/2(0.2*12)
Area of traingle = 6*0.2
Area of traingle = 1.2 cm^2
Hope it helps you mate (. ❛ ᴗ ❛.)
Answer :
➢ 43.3 cm²
Explanation :
let the missing side be c
a = 12 cm
b = 14 cm
Pythagoras theorem :
➢ a² + c² = b²
➢ 12² + c² = 14²
➢ 144 + c² = 196
➢ c² = 196 - 144
➢ c² = 52
➢ c = √52
➢ c = 7.21
Area = 1/2 × a × c
➢ 1/2 × 12 × 7.21
➢ 6 × 7.21
➢ 43.26 cm²
➢ 43.3 cm² [ round off to 1 decimal place ]
A rectangle if formed by placing two identical squares side by side. The perimeter of the rectangle is 6 cm. What is the total area of the squares.
Answer:
2 cm²
Step-by-step explanation:
Perimeter of a rectangle = perimeter of a square + perimeter of a square
2 congruent squares, side by side
The perimeter of the two squares = 6*sidelength.
Perimeter of a rectangle = 6 cm
The perimeter of the two squares = 6 * length
= 6l
Perimeter of a rectangle = The perimeter of the two squares
6 = 6l
l = 6/6
l = 1
Length = 1 cm
What is the total area of the squares.
Area of a square = lenght²
Area of two squares = 2(length ²)
= 2(1²)
= 2(1)
= 2 cm²
Write the system and
Brian sold fruit at his stand. Apples cost $0.40 and pears cost $0.50 each. In an afternoon he
sold 52 pieces of fruit and made $24. How many of each did he sell?
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!
Someone pls help me ill hive out brainlist pls don’t answer if you don’t know
Answer:
B. 14 and 15
hope this helps
have a good day :)
Step-by-step explanation:
the square root of 200 is 14.14213562 so it has to be between 14 and 15
HCF of smallest 2 digit composite number and smallest 3 digit prime number is?
Answer:
HCF = 1
Step-by-step explanation:
Smallest 2 digit composite number = 10
Smallest 3 digit prime number = 101
Factors of 10 = 1 , 2 , 5
Factors of 101 = 1 , 101
HCF = 1
Find the gradient of the line segment between the points (-3,2) and (4,4).
Answer:
slope = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)
m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]
Answer:
= 2
7
Step-by-step explanation:
slope = y2 - y1
x2 - x1
=4 - 2
4 - -3
= 2
7
y - 4 = 2
x - 4 7
7(y - 4) = 2(x - 4)
7y - 28 = 2x - 8
7y = 2x - 8 + 28
7y = 2x + 20
7 7 7
Gradient = 2
7
PLSSS ANSWER FASTTT
If angle ACB is 34 degrees, what is the measure of angle ADB?
A
Answer:
34 because the shape is split.
Step-by-step explanation:
State what additional information is required in order to know that the triangles are congruent for the reason given
Help!!!!!! I Don’t Know The Answer It’s Hard
Answer:
D
Step-by-step explanation:
Have a great summer :)
Answer:
C
Step-by-step explanation:
The slope is negative, so we can exclude the graph A and D
If we substitute y with 2 and x with -3 we have
2 = -4/3 (-3) -2
2 = 4 - 2
2 = 2
the equality is verified so C is the answer
what are the roots of the quadratic equation below? 3x^2+15x-5=0
Answer:
X1 = [tex]\frac{=15+\sqrt{285} }{6}[/tex] and X2 = [tex]\frac{-15-\sqrt{285} }{6}[/tex]Step-by-step explanation:
To find the roots of a quadratic equation, you need to solve the quadratic equation by using the quadratic formula.
OR
You can use the (Equation/Function) mode on the calculator.
[tex]\frac{-b+-\sqrt{b^{2} -4ac } }{2a} x \neq 0[/tex]
For this equation,
a = 3
b = 15
c = -5
X1 = [tex]\frac{-15+\sqrt{15^{2} -4(3)(-5) } }{2(3)} x \neq 0[/tex]
X2 = [tex]\frac{-15-\sqrt{15^{2} -4(3)(-5) } }{2(3)} x \neq 0[/tex]
Solving this on the calculator and you should get
X1 = [tex]\frac{=15+\sqrt{285} }{6}[/tex] X2 = [tex]\frac{=15-\sqrt{285} }{6}[/tex]
a, b, c = constants, where a ≠ 0
x = the unknown
Write all subsets of set {1, 2, 3}
The set {1, 2, 3} has 8 subsets.
A set with 'n' elements in it can have 2n subsets.
Figure ABCD is rotated clockwise about the origin through 360 degrees. Identify the transformed figure.
Answer: 360 is a complete circle meaning the figure will be back where it was originally
Step-by-step explanation:
Can someone answer this for me?
Answer:
sin = opposite / hypotenuse
cos = adjacent/hypotenuse
sin U = 4/5
cos U = 3/5
sin T = 3/5
cos T= 4/5
help pls. cant figure it out.
[tex]\longrightarrow{\green{a\:=\:2}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
➡[tex]\:4a + 1 = a + 7[/tex]
Combining like terms, we have
➡[tex]\:4a - a = 7 - 1[/tex]
➡[tex]\:3a = 6[/tex]
➡[tex]\:a = \frac{6}{3} [/tex]
➡[tex]\:a = 2[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➪ [tex] \: 4 \times 2 + 1 = 2 + 7[/tex]
➪ [tex] \: 8 + 1 = 9[/tex]
➪ [tex] \: 9 = 9[/tex]
➪ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
I AM GOING TO FAIL THIS EXAM L M A F O
Answer:
x = 4
Step-by-step explanation:
The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is
[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )
20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )
12x = 48 ( divide both sides by 12 )
x = 4
