Step-by-step explanation:
I answered the first three in your next question :)
4) 2x + 15 = 37
Subtract 15
2x = 12
Divide by 2
x = 6
Ryan is 6 years old
5) A = 2/5(10)
A = 4
Andy is 4 years old
Hope it helps <3
I will give brainliest pls i need help
Which phrase describes the algebraic expression 3 x minus 4?
the sum of three times a number and four
four less than three times a number
the quotient of three times a number less four
the difference between four and three
Answer:
The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bottom face included), what is the surface area of the roof of the kennel, including the bottom face?
Answer:
Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2
Step-by-step explanation:
The image is attached below
For the triangular sides of the roof, area is
A = [tex]\frac{1}{2}bh[/tex]
where b is the base = 4 ft
h is the vertical height = 2.24 ft
A = [tex]\frac{1}{2}*4*2.24 =[/tex] 4.48 ft^2
for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2
For the rectangular sections of the roof, area is
A = [tex]lh[/tex]
where [tex]l[/tex] is the length of the rectangle = 5 ft
h is the height of the rectangle = 3 ft
A = 5 x 3 = 15 ft^2
For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2
For the bottom face, area is
A = [tex]lw[/tex]
where [tex]l[/tex] is the length of the house = 5 ft
w is the width of the house = 4 ft
A = 5 x 4 = 20 ft^2
Surface area of the roof of the dog kennel is
8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2
Triangle ABC is isosceles with AB = AC.
Angle BAC = 110° and the area of the triangle is 85cm^2
Calculate AC.
Answer:
22.5 cm
Triangle area is (L x W) / 2
7.5 x 6 = 45
45 / 2 = 22.5
Step-by-step explanation:
brainlist plzzzz
Determine whether these two functions are inverses. Show your work please. f(x)=3x+27; g(x)= 1/3x+9
Answer:
Proved.
Step-by-step explanation:
The functions are:
1.) f(x) = 3x - 27 (* I am giving an answer using this equation. Perhaps you did't copy the question well!)
2.) g(x) = [tex]\frac{1}{3} x[/tex] + 9
If two functions are inverses of each other, then:
f(g(x)) = x and g(f(x)) = x situation must be satisfied.
f(g(x)) = 3([tex]\frac{1}{3}x + 9[/tex]) + 27
We simply it to get;
f(g(x)) = x - 27 + 27 = x (*This is correct)
g(f(x)) = [tex]\frac{1}{3}[/tex](3x - 27) + 9 = x - 9 + 9 = x (* This is also correct!)
Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ?
Answer:
Exponential
Step-by-step explanation:
The liner function represents that there is a constant change in the original value of the asset
While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset
Hence, the given situation denotes the exponential function
Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x
Answer:
fourth option
Step-by-step explanation:
Given
3x³ + 3x² - 18x ← factor out 3x from each term
= 3x(x² + x - 6) ← factor the quadratic
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
3 × - 2 = - 6 and 3 - 2 = + 1, thus
x² + x - 6 = (x + 3)(x - 2) and
3x³ + 3x² - 18x = 3x(x + 3)(x - 2) ← in factored form
HELP ASAP!
The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals?
Answer:
My conclusion about Quadrilaterals ABCD and EFCD is that both quadrilaterals are similar to each other.
THE REASON IS BECAUSE THE SIDES OF QUADRILATERAL ABCD ARE THE SAME AS THE SIDES OF QUADRILATERAL EFCD.
Step-by-step explanation:
When we are given vertices, (x1, y1) , (x2 ,y2), we use the formula:
√(x2 - x1)² + (y2 - y1)²
For quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4)
Side AB: A(4, 8), B(10, 10)
√(x2 - x1)² + (y2 - y1)²
√(10 - 4)² + (10 - 8)²
= √6² + 2²
= √40
Side BC: B(10, 10), C(10, 4)
√(x2 - x1)² + (y2 - y1)²
= √(10 - 10)² + ( 4 - 10)²
= √ 0² + (-6)²
= √36
= 6
Side CD: C(10, 4), D(4, 4)
√(x2 - x1)² + (y2 - y1)²
= √ (4 - 10)² + ( 4 - 4)²
= √-6² + 0²
= √36
= 6
Side AD: A(4, 8), D(4, 4)
=√(x2 - x1)² + (y2 - y1)²
= √(4 - 4)² + (4 - 8)²
= √0² + (-4²)
= √16
= 4
Therefore, for Quadrilateral ABCD
Side AB = √40
Side BC = 6
Side CD = 6
Side AD = 4
For quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4).
Side EF: E(4, 0), F(10, -2)
√(x2 - x1)² + (y2 - y1)²
= √(10 - 4)² + (-2 - 0)²
= √6² + 2²
= √40
Side FC: F(10, -2), C(10, 4)
√(x2 - x1)² + (y2 - y1)²
= √(10 - 10)² + (4 -(-2))²
= √ 0² + 6²
= √36
= 6
Side CD: C(10, 4), D(4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(10 - 4)² + (4 - 4)²
= √6² + 0²
= √36
= 6
Side ED: E(4, 0), D(4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 4)² + (4 - 0)²
= √0² + 4²
= √16
= 4
Therefore, for Quadrilateral EFCD
Side EF = √40
Side FC = 6
Side CD = 6
Side ED = 4
My conclusion about Quadrilaterals ABCD and EFCD is that both quadrilaterals are similar to each other.
THE REASON IS BECAUSE THE SIDES OF QUADRILATERAL ABCD ARE THE SAME AS THE SIDES OF QUADRILATERAL EFCD.
Let ABC be an equilateral triangle. How many squares in the same plane as ABC share two vertices with the triangle?
Answer:
9 squares
Step-by-step explanation:
An equilateral has three equal sides. You can have two squares on each side: AB, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. You can also have two squares on each side - BC, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. Again, you can have two squares on each side - CA, one in which the triangle, ABC, falls within the square and the other where the square does not contain the triangle, ABC. In addition, AB, BC and CA can be a diagonal of squares.
TL;DR
In conclusion, you have 9 squares in all - 3 as diagonals of squares and 6 as sides of squares. Brainliest appreciated!
No square shares more than two vertices with the equilateral triangle, so we can find the number of squares having two of their vertices at two given points and triple the result. Given 2 points, 3 squares may be drawn having these points as vertices. The figure below shows a red equilateral triangle with the 3 squares that correspond to one of the sides of the triangle. Therefore, 9 squares share two vertices with the equilateral triangle.
Which could be used to solve this equation?
3 and one-fifth + n = 9
Subtract 3 and one-fifth from both sides of the equation.
3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth
Add 3 and one-fifth to both sides of the equation.
9 + 3 and one-fifth = 12 and one-fifth
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Well to find n you gotta separate it.
3 1/5 + n = 9
-3 1/5
n = 5.8
Thus,
to seperate it you subtract 3 1/5 from both sides.
Answer:
Subtract 3 and one-fifth from both sides of the equation
Step-by-step explanation:
Right triangle ABC is located at A (-1,-2), B(-1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius AC?
Olx + 1)2 + y + 2)2 = 9
O(x + 1)2 + (y + 2)2 = 25
OOX - 3)2 + y - 12 = 16
Ox - 3)2 + (y - 142 = 25
Answer:
(x +1)^2 + (y +2)^2 = 25
Step-by-step explanation:
A diagram of the given triangle shows you it has side lengths of 3 and 4, so the square of the hypotenuse is ...
(AC)^2 = (AB)^2 +(BC)^2 = 3^2 +4^2
(AC)^2 = 25
The center of the circle is at A(-1, -2), so the equation is ...
(x -h)^2 +(y -k)^2 = r^2
for the circle centered at (h, k) with radius r.
We know that the square of the radius (r^2) is 25, so we can write the equation as ...
(x +1)^2 +(y +2)^2 = 25
Answer:
(x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
Hope this helps :)
f(x) = 5x - 3
f(5) =_____
Answer:
22
Step-by-step explanation:
Evaluate!
5(5)-3
25-3
22
Find three solution of equation 4x+3y=12
Answer:
1.(X,Y)=(1,8/3) 2.(X,Y)=(2,4/3) 3.(X,Y)=(3/2,2)plz.. mark me as brainiesthow do you know if the solutions to a quadratic equation are inside, outside, on, inside and on, or outside and on the parabola??
Answer:
Plug in the x and y values into the equation
Step-by-step explanation:
Leave the explanation too please.
Answer:
58 square units.
Step-by-step explanation:
From the graph attached,
Area of the figure = Area of the rectangle A + Area of two squares B and C
Area of rectangle A = Length × width
= 10 × 5
= 50 square units
Area of the square B = (Side)²
= (2)²
= 4 square units
Similarly area of the square C = 2² = 4 square units
Area of the total figure = 50 + 4 + 4
= 58 square units
Therefore, 58 square units will be the answer.
Find the indicated functional value for the ceiling function: f(1.5)?
Answer:
The correct answer is 2Step-by-step explanation:
The ceiling function is a python programming function that rounds a decimal point number to the nearest whole number.
Given the function expression f(1.5), the ceiling function will round 1.5 to the nearest whole number which is 2
The graph represents this system of equations. A system of equations. y equals 2 x minus 4. y equals 1 minus 3 x. A coordinate grid with 2 lines. The first line passes through (0, 1) and (1, negative 2). The second line passes through (0, 1) and (1, negative 2). What is the solution to the system of equations? (–4, 1) (–2, 1) (1, –4) (1, –2)
Answer:
(1,-2)
Step-by-step explanation
y = -3x + 1
y = 2x - 4
-3x + 1 = 2x - 4
-5x + 1 = -4
-5x = -5
x = 1
y= 2(1) - 4
y = 2 - 4
y = -2
(1,-2)
Answer:
1/2
Step-by-step explanation:
solve it using quadratic formula.
grade 9
10 points
Answer:
{-1/4, 1}{3/4, 6}Step-by-step explanation:
1. We can clear fractions and solve the resulting quadratic. We clear fractions by multiplying the equation by the product of the denominators.
[tex]\dfrac{2x+1}{2x-1}-\dfrac{2x-1}{2x+1}=\dfrac{8}{3}\\\\3((2x+1)^2-(2x-1)^2)=8(2x-1)(2x+1)\\\\3(8x) = 8(4x^2 -1)\\\\4x^2 -3x -1 = 0\qquad\text{factor out 8, subtract 3x}\\\\x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-1)}}{2(4)}=\dfrac{3\pm\sqrt{25}}{8}\\\\x=\dfrac{3\pm5}{8}=\left\{-\dfrac{1}{4},1\right\}[/tex]
__
2. Using the same idea here, we get ...
[tex]\dfrac{2}{x-2}+\dfrac{3}{x}=\dfrac{9}{x+3}\\\\2(x)(x+3)+3(x-2)(x+3)=9(x-2)(x)\\\\2x^2+6x+3(x^2+x-6)=9x^2-18x\\\\4x^2-27x+18=0\\\\x=\dfrac{-(-27)\pm\sqrt{(-27)^2-4(4)(18)}}{2(4)}=\dfrac{27\pm\sqrt{441}}{8}\\\\x=\dfrac{27\pm21}{8}=\left\{\dfrac{3}{4},6\right\}[/tex]
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake. How much space does Lacey's mom cover in frosting?
Answer:
1360cm²
Step-by-step explanation:
Since the shape of the cake is in L shape, we can divide the cake in to rectangles..
The amount of space covered by the frosting = The sum of the areas of the sides that we can find in this L shaped cake diagram.
The sides of this cake, are shaped like a rectangle.
Hence, Area of a Rectangle = Length × Width
a) Side 1 = Rectangle on the left
Area of a Rectangle = Length × Breadth
Length = 30cm
Breadth =10cm
Area = 30 × 10 = 300cm²
Since we have another side with this measurement/ dimensions also,
Side 2 = 300cm²
Side 3 = The front face of the cube by the right
Area of a Rectangle = Length × Breadth
Length = 22cm - 10cm = 12cm
Breadth =10cm
Area = 12 × 10 = 120cm²
Likewise, we have the another side with the same dimensions as well
Hence, Side 4 = 120cm²
Side 5
30 × 5 = 150cm²
Side 6
10 × 5 = 50cm²
Side 7
20 × 5 = 100cm²
Side 8
22cm × 5 cm = 110cm²
Side 9
10cm × 5cm = 50cm²
Side 10
12cm × 5cm = 60cm²
The amount of space covered by the frosting = Area of Sides( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)
= (300 + 300 + 120 + 120 + 150 + 50 + 100 + 110 + 50 + 60) cm²
= 1360cm²
Answer:
1360
Step-by-step explanation:
it is correct on khan academy
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of days. About what percentage of births would be expected to occur within days of the mean pregnancy length?
About what% of births would be expected to occur within days of the mean pregnancy length.
Answer: About 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.
Step-by-step explanation:
Complete question is attached below.
Given: The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 8 days.
i.e. [tex]\sigma= 8[/tex]
let X denotes the random variable that represents the lengths of pregnancy.
The probability of births would be expected to occur within 24 days of the mean pregnancy length:
[tex]P(\mu-24<X<\mu+24)=P(\dfrac{\mu-24-\mu}{8}<\dfrac{X-\mu}{\sigma}<\dfrac{\mu+24-\mu}{8})\\\\=P(\dfrac{-24}{8}<Z<\dfrac{24}{8})\ \ \ [\because Z=\dfrac{X-\mu}{\sigma}]\\\\=P(-3<Z<3)\\\\=P(Z<3)-P(Z<-3)\\\\=P(Z<3)-(1-P(Z<3))\\\\=2P(Z<3)-1[/tex]
[tex]= 2(0.9987)-1\ \ \ [\text{ By z-table}]\\\\=0.9974[/tex]
=99.74%
Hence, about 99.74% of births would be expected to occur within 24 days of the mean pregnancy length.
PLEASEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A = 18.85ft^2114cm^2835.578 in^224o yd^2Step-by-step explanation: I hope it helps :)
1.
[tex]Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2[/tex]
2.
[tex]Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2[/tex]
3.
[tex]Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578[/tex]
4.
[tex]Perimeter = a+b+c\\P = 10+8+6\\P = 24\\S.A =2B+Ph\\S.A = 2(24)+24(8)\\S.A =48+192\\S.A = 240\:yd^2[/tex]
Find arc length. (Ignore the pencil mark, NEED ASAP)
Answer:
15.7 yd
Step-by-step explanation:
Arc length is given as 2πr(θ/360).
Where,
Radius (r) = 10 yd,
Measure of arc (θ) = 90°
π = 3.142
Arc length = 2*3.142*10(90/360)
Arc length = 62.84(¼)
Arc length = 62.84/4
Arc length = 15.71 yd
The act length is approximately 15.7 (to the nearest tenth)
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
Set of six numbers has an average of 42. When three of this numbers were removed the remaining three numbers had an average of 72. What was the sum of the removed numbers?
Answer: 36
Step-by-step explanation:
From the question, we are informed that six numbers has an average of 42. This means that the total number will be equal to:
= 42 × 6
= 252
When three of this numbers were removed the remaining three numbers had an average of 72. The total of this will be:
= 72 × 3
= 216
The sum of the removed numbers will be the difference between the two numbers above. This will be:
= 252 - 216
= 36
Which of the following is a like radical to 3x sqrt 5
Answer:
The last option
Step-by-step explanation:
Source: Trust bro
Answer:
d) y sqrt 5
Step-by-step explanation:
radicals are like if they have the same index and radicand, here they are both square roots and have a radicand of five
combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
what does it mean for a savings account to have a minimum balance
Step-by-step explanation:
You have to retain a certain amount of money
in that account forever. Say you need $50 to
start an account, you have $200 in that account.
You cannot take out more than $150 from that
account.
Answer:
A: If you do not keep at least that much money in the account, you will be assessed fees.
Step-by-step explanation:
In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what can win a player by buying single lottery ticket: 6 number match $10,000 5 number match $ 5,000 4 number match $ 1000 3 number match $ 5,00 2 number match $ 50 1 number match $ 10. what is the probablity that a player will will 10000 dollars
Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
n Fill in the blank. The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further. The (1) for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
Answer: sample space
Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.
Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4
Answer:
Step-by-step explanation:
P (m) = a (m + 1) + b (m + 1) - c (m + 1)
P (m) = (a + b - c) (m + 1)
There are 2 prime factors