If for an A. P d = -4 then t20 - t15 is what?
Answers
Step-by-step explanation:
[tex] - 20 \: is \: your \: answer[/tex]
Supposition of Terms in an A.P.(1) Three terms as : a -d, a,a + d .(2) Four terms as : a -3d , a - d , a + d , a + 3d .(3)Five terms as : a -2d , a - d , a , a+ d, a + 2d.To know the solution with Proof
Refer To the above attachment .
Hope this helps you !! Carry on learning!!
Related Questions
the vertex of this parabola is at (-2 -3). When the y value is -2, the x value is -5. What is the coefficient of the squared term in the parabolas equation.
Answers
Answer:
1/9
Step-by-step explanation:
The vertex form is
y =a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-2,-3)
y =a(x--2)^2 +-3
y =a(x+2)^2 -3
Substitute the point into the equation
-2 = a(-5+2)^2 -3
-2=a(-3)^2-3
Add 3 to each side
-2+3 = a(9)
1 = 9a
1/9 =a
y =1/9(x+2)^2 -3
The coefficient of the x^2 is 1/9
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, - 3) , then
y = a(x + 2)² - 3
To find a substitute (- 5, - 2 ) into the equation
- 2 = a(- 5 + 3)² - 3 ( add 3 to both sides )
1 = a(- 3)² = 9a ( divide both sides by 9 )
[tex]\frac{1}{9}[/tex] = a
y = [tex]\frac{1}{9}[/tex] (x + 2)² - 3
The coefficient of the x² term is therefore [tex]\frac{1}{9}[/tex]
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answers
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
If the geometric mean of a and 28 is 16 sqrt 7 find a
Answers
Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )
28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )
a = 64
Answer:
a = 64
Step-by-step explanation:
The geometric mean for two numbers is given by :
GM = sqrt(ab)
16 sqrt(7) = sqrt(a*28)
Square each side
(16 sqrt(7))^2 = (sqrt(a*28))^2
256*7 = 28a
1792 = 28a
Divide each side by 28
1792/28 = 28a/28
64 = a
The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?
Answers
Answer:
21cm2
Step-by-step explanation:
Area (A = BH)
B = 7cm
H = 3cm
Therefore we multiply Base(B) with height (H) to get the area.
Hence;
Area = (7 × 3) cm2
= 21cm2
express in kg: 3470 grams
4 kg 8 g
Answers
Answer:
Step-by-step explanation:
This Makes no sense but this is 4kg and 8g converted to Kg :
4kg - 8g = 4.008 kg
Can anyone help plz?
Answers
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
Answers
Answer:
base = 13 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 52 and h = 8 , then
[tex]\frac{1}{2}[/tex] b × 8 = 52
4b = 52 ( divide both sides by 4 )
b = 13
Six years ago,the average age of A,B,C and D was 30 years. When E joined them, the average of all five becomes 40 years. What is the age of E?
Answers
Answer:
The age of E is 40
Step-by-step explanation:
When E didn't join them, the average age was 30,that is six years ago. But present making 36.
But when E joined, the average age is now 40.
Answer:
E is 56 years old
Step-by-step explanation:
I assume E joined them now.
(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30
(A + B + C + D + E)/5 = 40
(A + B + C + D - 24)/4 = 30
A + B + C + D - 24 = 120
A + B + C + D = 144
(A + B + C + D + E)/5 = 40
A + B + C + D + E = 200
144 + E = 200
E = 56
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answers
Answer:
f(x)=x^2+3
[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]
Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1
Answers
Answer:
y - 5 = -1/6 (x - 4)
Step-by-step explanation:
y = 6x - 1 y = -1/6x + b
y - 5 = -1/6 (x - 4)
Classify each number as rational or irrational.
Answers
Answer:
π - irrational
0.04053.. - irrational
0.76 - rational
3.565565565 - irrational
-17 - rational
3.275 - rational
Step-by-step explanation:
rational = can express as fraction
irrational = cannot
find the missing side.
Answers
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
Find the missing the side of the triangle
Answers
Step-by-step explanation:
Because it is a 45-45-90 triangle (we know this because two legs are congruent) x witll be [tex]\sqrt{10} *\sqrt{2}[/tex]
help me please its confusing neeed help
Answers
Answer:
1.94 mm
Step-by-step explanation:
V = pi(r^2)h
V/pi(h) = r^2
r = sqrt(V/pi(h))
r = sqrt(200/pi(17))
r = 1.94 mm
please explain this to me?
Answers
Answer:
14cm + 3cm =17cm
Step-by-step explanation:
now find the area
A savings account for a car is set up with an initial balance of $2500, and $100 is added every month
(no other transactions occur on the account).
1. Write the expression:
2. Write the equation equal to(=) $3600 car goal:
3. How many months will it take?
Answers
Answer:
11
Step-by-step explanation:
3600 = 100x+2500
1100 = 100x
x = 11
WHO KNOWS HOW TO DO THIS!!!!!
Answers
Answer:
Step-by-step explanation:
Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2
find the value of the trigonometric ratio. make sure to simplify if its needed.
Answers
Answer:
12/5
Step-by-step explanation:
Tan Z
= opposite/adjacent
= 24/10
= 12/5
Answered by GAUTHMATH
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly
Answers
Complete question is;
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?
Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.
If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.
A) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 < 0
B) H0: μ1 - μ2 = 0
Ha: μ1 < μ2
C) H0: μ1 - μ2 > 0
Ha: μ1 - μ2 = 0
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
E) None of the above
Answer:
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
Step-by-step explanation:
We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.
Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;
It means we want to find out if µ1 > µ2 as the alternative hypothesis.
Thus, alternative hypothesis is;
Ha: µ1 - µ2 > 0
Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.
Thus, null hypothesis is;
H0: μ1 - μ2 = 0
The only correct option is D.
What is the volume of the pyramid below?
Answers
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
Answer: 1/3•10•12= 40m^3
using trig to solve for missing angle
Answers
Answer:
30.7
Step-by-step explanation:
Recall: SOH CAH TOA
We are to solve for the missing side
First, label the sides:
Reference angle (θ) = 61°
x = Opposite (this is opposite to the reference angle)
17 = Adjacent
Hypotenuse = side opposite to right angle
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 61° = x/17
17*Tan 61° = x
30.6688118 = x
x ≈ 30.7 (approximated to nearest tenth)
please please please answer!! will give brainliest and extra points!
Answers
a) y = x
b) y = 10
c) x = 3
Step-by-step explanation:
a) the line passes through the points (-5, -5) and (1, 1).
Step 1. Identify the slope
M = slope
M = change in y/change in x
Two points: (-5, -5) & (1, 1)
M = (y2 - y1)/(x2 - x1)
where y2 = 1 y1 = -5 x2 = 1 & x1 = -5
M = (1 - -5)/(1 - -5)
Note: Two negative signs together makes addition!
M = 6/6
M = 1
Step 2. Find the y-intercept
The slope is 1 but then we need a y-intercept. To do this we have to take a look when the first y-intercept happened.
Answer: y-intercept undefined so therefore our final answer is y = x
••••••••••••••••••••••••••••••••••••••••••••••••••
b) the line that passes through (-2, 10) and (3, 10).
If we would’ve graphed this, we can see that they’re in line with the y-axis so there wouldn’t be any slope.
Step 1. Find the slope.
M = slope
M = change in y/change in x
Two points: (-2, 10) & (3, 10)
M = (y2 - y1)/(x2 - x1)
M = (10 - 10)/(3 - -2)
M = 0/5
M = 0
Therefore the slope is 0
Step 2. Find the y-intercept
And the y-intercept is 10 obviously so now our answer would be y = 10
•••••••••••••••••••••••••••••••••••••••••••••••••••
c) the line parallel to the y-axis that passes through the point (3, -7)
Equation of line parallel to y-axis is x = k
(3, -7) lies on our required line
-> k = 3
The equation of the required line is x = 3
••••••••••••••••••••••••••••••••••••••••••••••••••
d) & e)
I don’t know the answer to the rest I’m sorry but at least appreciate these 3 answers that I’m giving you
Have a good day!
-Unluckydoom
PLEASE HELP :( ASAP
Find the area.
A. 272 cm²
B. 175 cm²
C. 189 cm²
D. 195 cm²
Answers
Answer:
A. 272 cm^2
Step-by-step explanation:
The area of the rectangle is 17cm * 7cm = 119 cm^2
The area of the right triangle is (25-7) * 17cm * 1/2 = 153cm^2
Answer: 119+153 = 272 cm^2
A. 272 cm^2
Step-by-step explanation:
Area = Length • Width
Area = 17 • 7
Area = 119 cm
Area = 1/2 bh
Area = 1/2 (18)(17)
Area = 1/2 (306)
Area = 153
153 + 119 = 272 cm^2
Determine the measure of the interior angle at vertex F
Answers
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs
Answers
Answer:
Mr Mohapi is selling cheaper chairs
Step-by-step explanation:
Find the cost per chair from both prices by dividing the total price by the number of chairs:
22500/500
= 45
9600/200
= 48
So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.
Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.
Mr Mohapi is selling cheaper chairs.
6
5 (0,4)
(5, 4)
x
3
(3, 2)
2
(-2,0) 1
-5-4-3-2 JO1
2 3
-2 (0-2)
-3
-4
-5
4
5
- 7
-8
From the graph of the function, determine the domain and the range.
Answers
Step-by-step explanation:
according to the graph,
the domain is : -2 ≤ x < 0 or 0 < x ≤ 5
=> [-2, 0) U (0, 5]
the range is : -2< y ≤ 0 or 2≤ y ≤ 4
=> (-2, 0] U [2, 4]
the answer is option 1
The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the function is shown in figure.
Now, According to the graph, We get;
The domain is;
-2 ≤ x < 0
Or, 0 < x ≤ 5
Domain = [-2, 0) U (0, 5]
And, the range is;
-2< y ≤ 0
Or , 2≤ y ≤ 4
Range = (-2, 0] U [2, 4]
Thus, The domain and range of the function are,
Domain = [-2, 0) U (0, 5]
Range = (-2, 0] U [2, 4]
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
9-m=42
9-m
m-9=42
m-9
Answers
Answer:
m-9=42
Step-by-step explanation:
An amount subtracted by $9 is $42.
(an amount is unknown, so it is represented with variable, m)
m-9=42
a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2
Answers
Answer:
Weight of the stone is 100 N
Step-by-step explanation:
[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]
Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
Submit Answer
✓
attempt 1 out of
I really need help with this
Answers
Answer:
x=2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 30 = x/4
4 sin 30 =x
4 ( 1/2) =x
2 =x
An equation is shown below:
3(2x – 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
