Answer:
please find attached pdf
Step-by-step explanation:
Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers
Answer:
Step-by-step explanation:
Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.
2x+2y+2z = 108
x+y+z = 54
Let x≤y≤z
x = z/2
y = ¾z
z/2 + 3z/4 + z = 54
2z/4 + 3z/4 + 4z/4 = 54
2z + 3z + 4z = 216
9z = 216
z = 24
x = z/2 = 12
y = ¾z = 18
The numbers are 24, 36, 48
A finite arithmetic sequence has 12 termsThe last term is 100 and the common difference is 3. What is the first term?
Answer:
67
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of terms (n) = 12
Last term (L) = 100
Common difference (d) = 3
First term (a) =?
We can obtain the first term of the arithmetic sequence as follow:
L = a + (n – 1)d
100 = a + (12 – 1)3
100 = a + (11)3
100 = a + 33
Collect like terms
100 – 33 = a
a = 67
Therefore, the first term of the arithmetic sequence is 67
Find the distance d (P1, P2) between the points P, and P2.
P1 = (-2,5); P2 = (4,0)
(P4, P2) - (Type an exact answer, using radicals as needed.)
Answer:
[tex]\sqrt{61}[/tex] units
Step-by-step explanation:
We are given that
[tex]P_1=(-2,5)[/tex]
[tex]P_2=(4,0)[/tex]
We have to find the distance d (P1, P2) between the points P, and P2
We know that
Distance between two points (x1,y1) and (x2,y2) i
=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{6^2+25}[/tex]
The distance d (P1, P2) between the points P, and P2
=[tex]\sqrt{61}[/tex] units
hi how do i do this please
Answer:
160
Step-by-step explanation:
Rectangle = 10x15=150
Triangle = 1/2x5x4=10
150+10=160
Step-by-step explanation:
Area of rectangle = width × length
= 10 × 15 = 150 cm²
The height of triangle = 14 - 10 = 4 cm
Area of triangle = 1/2 × base × perpendicular height
= 1/2 × 5 × 4
= 10 cm²
Area of this figure = area of rectangle + area of triangle
= 150 + 10 = 160 cm²
Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?
Answer:
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=tan(x)-\frac{2}{x}[/tex]
[tex]g(x)=x^2+8[/tex]
We have to find [tex]f(x)\times g(y)[/tex]
To find the value of [tex]f(x)\times g(y)[/tex] we will multiply f(x) by g(y)
[tex]g(y)=y^2+8[/tex]
Now,
[tex]f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)[/tex]
[tex]f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)[/tex]
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
Hence,
[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]
Can someone help me............................
Answer:
a), and d)
Step-by-step explanation:
[tex](x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x[/tex]
Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
А. (-4,1)
B. (-3, -4)
C. (0, -3)
D. (0,1)
E. (5,-2)
Please help asap!!!
The graphs of linear functions f and g are shown.
Enter the solution to the equation
Answer:
I think the answer is 5 (y = 5) because the lines intersection at x = -3.
Please look at picture
Answer:
By sum interior angle of triangle is equal to third exterior angle hence
z = x + y
No find x and y
Sum triangle is 180 degree
What is the derivative of sin(2x+5)?
Step-by-step explanation:
[tex] \sin(2x + 5) [/tex]
Let y = sin(z) . Where z = 2x +5
[tex]y = \sin(z) \\ z = 2x + 5[/tex]
Find the the derivatives
[tex] \frac{dy}{dx} = \cos(z) [/tex]
[tex] \frac{dz}{dx} = 2[/tex]
Multiply
[tex] \frac{dy}{dx} = \cos(z) \times 2 \\ = 2 \cos(z) [/tex]
Remember that z = 2x+5
[tex]2 \cos(2x + 5) [/tex]
2. ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b, find in terms of a and b, the directed line segments (i) AB, (ii) AD, (iii) BD and (iv) AC.
Answer:
The answer is below.
Step-by-step explanation:
A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.
In square ABCD:
AB = BC = CD = AC
Given that P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.
a) In triangle ABP:
BC = AB (all sides of a triangle are equal)
BP = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + BP² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = a² / 1.25
AB² = 0.8a²
AB = √(0.8a²)
AB = a√0.8
b) In triangle ADQ:
AD = CD (all sides of a triangle are equal)
DQ = 1/2 (CD) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = b² / 1.25
AD² = 0.8b²
AD = √(0.8b²)
AD = b√0.8
c) In triangle ABD, Using Pythagoras theorem:
AB² + AD² = BD²
Substituting:
0.8a² + 0.8b² = BD²
But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²
BD = √(0.8a² + 0.8b²)
BD = √(1.6a²) 0.8a² = 0.8b²
BD = a√1.6
D) AC = AD (diagonal are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) 0.8a² = 0.8b²
AC = b√1.6
A spinner with 12 equally sized slices has 4 blue slices, 3 red slices, and5 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue or red slice?
rearrange the following formulato make t
the subject:
b= T / 3 -5
What is the discriminate of y=x^2-8x+2
Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
f(x)=x^2-x^3
what's the value of f(-2)
Answer:
Step-by-step explanation:
f(-2) = (-2)^2 - (-2)^3
= 4 - (-8)
= 4 + 12
= 16
Which expressions are polynomials?
Select each correct answer.
2 + s
4x^3 + y
x^2 - x squared + 2
y
Answer:
The third one
Step-by-step explanation:
What is the answer to the following?
Answer:
63
Step-by-step explanation:
Answer:
63 degrees
Step-by-step explanation:
Which inequality is represented by this graph?
A. X > 3
B. X ≥ 3
C. X > 4
D. x ≥ 4
Answer:
D. is the correct answer because it is greater than for 4 And also includes it
Answer:
D
no explanation lol I know its D
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Find the following for the function f(x)= 3x2 + 4x - 3.
(a) f(0)
(e) -f(x)
(b) f(3)
(f) f(x + 2)
(c) f(-3)
(g) f(3x)
(d) f(-x)
(h) f(x + h)
Step-by-step explanation:
a. -3
e. -3x^2 -4x +3
b 27+12-3= 36
f. 3(x+2)^2 + 4(x+2) -3
c. 27-12-3= 12
g. 3(3x)^2 + 4(3x) -3
d. 3x^2 -4x -3
h. 3(x+h)^2 + 4(x+h) -3
The all values of the function f(x)= 3x² + 4x - 3 are f(0) = -3 ,-f(x) = -3x² -4x +3, f(3) = 27+12-3= 36 ,f(x + 2)= 3(x+2)² + 4(x+2) -3 ,f(-3)= 27-12-3= 12,f(3x) = 3(3x)² + 4(3x) -3,f(-x) = 3x² -4x -3,f(x + h) = 3(x+h)² + 4(x+h) -3.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
a) f(0) = -3
(e) -f(x) = -3x² -4x +3
(b) f(3) = 27+12-3= 36
(f) f(x + 2)= 3(x+2)² + 4(x+2) -3
(c) f(-3)= 27-12-3= 12
(g) f(3x) = 3(3x)² + 4(3x) -3
(d) f(-x) = 3x² -4x -3
(h) f(x + h) = 3(x+h)² + 4(x+h) -3
For more about the function,
brainly.com/question/23712366
#SPJ2
It is greatest to least fractions
Answer:
D
Step-by-step explanation:
The best way to work with fractions is to turn them into decimals by dividing the numerator by the denominator.
Answer:
b
Step-by-step explanation:
smaller the number bigger the size
Marsha had $4.00 in her pocket in the
morning, and Mark had $0.50. Marsha
sells her sweets for $0.25 each, and
Mark sells his for $0.50 each.
If Marsha and Mark both sold the
same number of sweets, and they
have the same amount of money at
the end of the day, how many sweets
did they each sell?
PLEASE EXPLAIN
They would both have to sell 14 candies.
Step-by-step explanation:
They both sell 14 candies
hey what is better butter or cheese?
i really need to know its argent!!!
Answer:
CHEEEESEEE
Step-by-step explanation:
CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA
Hurry I need the answer and how u got it and if correct ill give you brainiest
1..The number of early voters for the 2020 election was 129.2% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
2.. At a conference, there is a food table setup with 491 sandwiches. Of all the sandwiches, only 51 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent. 4
3..Washington State University graduated a total of 17,190 students. Of all the students, only 1.7% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
4.Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,006 trees per 0.9 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
5..There are 870 people attending a conference and 8.9% of them are from Canada. How many people are from Canada?
Group of answer choices
98
774
8
77
6
6.A local business sold the 103 items listed below. What is the average price of an item sold considering quantity?
24 notepads at $3.50 each
61 folders at $0.25 each
18 calculators at $9.00 each
Group of answer choices
$2.54
$0.89
$4.33
$0.33
Answer:
75,323,600
10.4%
292
4471
77
$2.54
Step-by-step explanation:
1. Voters in 2020 =
1.292 x 58,300,000 = 75,323,600
2.( number of turkey sandwich / total number of sandwich ) x 100
(51/491) x 100 = 10.4%
3. percent of chemistry majors = (number of chemistry majors / total students that graduated) x 100
0.017 = number of chemistry majors / 17,190
Multiply both sides of the equation by 17,190
17,190 x 0.017 = 292
4. number of trees in 4 square miles = (4 x 1006) / 0.9 = 4471
5. Percent from Canada = percentage of people from Canada x total number of people attending the conference
0.089 x 870 = 77
6. Average price = total cost of items / total quantity sold
[(24 x 3.50) + (61 x0.25) + (18 x 9)] / 103 = 2.54
The equation can be stated in three forms:
In the first set of problems below, you will be given the mass of an object and the acceleration of that object, and then will need to solve for force, using the equation F = ma.
In other words, you will need to multiply the mass times the acceleration to calculate the force.
Be sure to convert any mass stated in grams into kilograms, by dividing it by 1000 (moving the decimal place over three places to the left). For example, 1000 grams is equal to 1 kilogram.
Be sure to state the proper units in your answer.
1. An object with a mass of 2.0 kg accelerates 2.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
2. An object with a mass of 5.0 kg accelerates 8.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
3. An object with a mass of 1500 g (grams) accelerates 10.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________ force force f = m•a m = f/a a = f/m
4. An object with a mass of 6.0 kg accelerates 4.0 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
5. An object with a mass of 7.5 kg accelerates 8.3 m/s2 when an unknown force is applied to it. What is the amount of the force? ______________________
In this next set of problems below, you will be given the force applied to an object and the acceleration of that object, and then will need to solve for mass, using the equation m = F/a. In other words, you will need to divide the force by the acceleration to calculate the mass. Show your work in the space provided. Be sure to state the proper units in your answer.
6. An object accelerates 3.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
7. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it. What is the mass of the object? ___________________________
8. An object accelerates 5.0 m/s2 when a force of 20.0 newtons is applied to it. What is the mass of the object? ___________________________
9. An object accelerates 2.0 m/s2 when a force of 12.0 newtons is applied to it. What is the mass of the object? ___________________________
Answer:
Hey this is your sign to have a great day!
Step-by-step explanation:
Good Luck!!!!!!!!!11
Find the value of x
25 points
Answer:
[tex]x = 2.5[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Find x
To solve for x, we make use of the following equivalent ratio
[tex]x :3.5 = 5 : 7[/tex]
Express as fractions
[tex]\frac{x}{3.5} = \frac{5}{7}[/tex]
Make x the subject
[tex]x= \frac{5}{7}*3.5[/tex]
[tex]x= \frac{5}{2}*1\\[/tex]
[tex]x = 2.5[/tex]
Find the equation of a parabola whose vertex is at (−1, 7), whose axis of symmetry is
x = −1, and whose y-intercept is (0, 10). Write your answer in vertex form.
Answer:
Step-by-step explanation:
The axis of symmetry is vertical, so the parabola is vertical.
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)² + k
axis of symmetry: x = h
Apply your data and solve for h, k, and a.
vertex (-1,7)
h = -1
k = 7
y = a(x+1)² + 7
(0,10) is a point on the parabola
10 = a(0+1)² + 7
a = 3
The equation becomes
y = 3(x+1)² + 7
VERY QUICK HELP!!!! A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the surface area of this pyramid?
Answer: 102cm²
Step-by-step explanation:
Area of base = 6 × 7 ÷ 2 = 21
Area of lateral face = 6 × 9 ÷ 2 = 27
Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.
27 × 3 = 81.
Now we add up the area of the base and the lateral faces.
21 + 81 = 102cm²
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a
reflection over the y-axis.
Answer:
The coordinates of triangle after reflection over y-axis
D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)
Step-by-step explanation:
Explanation:-
Given that DEF with vertices D(2,6), E(5,6), and F(5,1)
Given that the triangle DEF reflection over the 'y' - axis then transformed into
( x,y) → (-x,y)
Now,
D(2,6) → D¹( -2 ,6)
E(5,6)→ E¹( -5 ,6)
F(5,1)→ F¹ (-5,1)
Final answer:-
The coordinates of triangle after reflection over y-axis
D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)
what is :
2x + 10 = ?
Answer:
x = -5
Step-by-step explanation:
2x = -10
x = -10/2
x = -5