Answer:
-6/-2<-2x/-2
divide both sides by-2 to remain with the x variable on one side
I hope this helps
Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him under an hour to fill the entire bucket with water.is he correct.explain why or why not
Answer:
No
Step-by-step explanation:
From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.
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?
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
An internet company reported that its earnings will be less than the 24 cents per share that was predicted
Answer:
p < 0.24
Step-by-step explanation:
If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p
If the predicted earning = p
Then, the actual earning can be represented by the inequality ; p < 24%
p < 0.24
If the geometric mean of a and 28 is 16 sqrt 7 find a
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
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answer:
f(x)=x^2+3
[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]
For the function f(x)=3X+5/x+5 find f^1(x)
Answer:
When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.
The inverse is 5 / x - 8
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.
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]
which equation represent this relation
Answer:
hello,
answer A c=n+2
Step-by-step explanation:
if n=0 then c=2
if n=2 then c=4
slope=m=(4-2)/(2-0) =2/2=1
c-2=1*(n-0)
c=n+2
Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)
Carlos is 3 more than twice Ella’s age. If the sum of their ages is 54 years, determine their ages.
Answer:
Carlos is 37 years old and Ella is 17.
Step-by-step explanation:
Let,
Carlos = c
Ella = e
If Carlos is 3 more than twice Ella's age, we get the equation:
2e + 3 = c (1)
Since the sum of their ages is 54, we get the equation:
c + e = 54 (2)
Now we have a system of equations.
Since equation number 1 already designated the value of c in terms of e, we can substitute it into the second equation.
(2e+3) + e = 54
Lets combine like terms and solve!
2e + e + 3 = 54
3e = 51
e = 17
Let's substitute e back into one of the equations to figure out the value of c. I'm going to use equation 1.
2e + 3 = c
2(17) + 3 = c
34 + 3 = c
37 = c
Let's substitute the values of c and e into the second equations to check our work! (We know c and e already fulfill the first equation as we substituted e into it to get c)
c + e = 54
37 + 17 = 54
54 = 54
Now that we've checked our work, we know our answer is correct! Carlos is 37 years old and Ella is 17.
PLEASE HELP :( ASAP
Find the area.
A. 272 cm²
B. 175 cm²
C. 189 cm²
D. 195 cm²
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
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?
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
using trig to solve for missing angle
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)
help me please its confusing neeed help
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
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1
Answer:
y - 5 = -1/6 (x - 4)
Step-by-step explanation:
y = 6x - 1 y = -1/6x + b
y - 5 = -1/6 (x - 4)
Find the missing the side of the triangle
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]
factorise the given number
12
hope it helps you............
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
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.
If 5 is added to the difference of 3 times of 4 and 7 find the number
Answer:
14
Step-by-step explanation:
3*4=12
3*7=21
Diff= 21-12
Diff= 9
Plus 5=9+5
The number is 14
Determine the perimeter of the following figure
pls help! ill mark brainliest
Answer:
Step-by-step explanation:
Use Pythagorus to find the length of the unmarked length
c^2 = a^2 + b^2
a = 5
b = 17 -10 = 7
c = ?
c^2 = 5^2 + 7^2
c^2 = 25 + 49
c = sqrt(74)
c =8.602
P = 5 + 10 + 17 + 8.602
P = 40.602
There is a line whose slope is 0 and whose y-intercept is 7. What is its equation in slope-intercept form?
Step-by-step explanation:
To evaluate such, the following must be comprehended, on the behalf of linear data:
Slope: Rise/Run.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Recall:
Slope-Intercept Form is acknowledged and defined as the integration of the intersection point, in relation or in proportion to the distance between two points within the linear data presented on the Cartesian Plane.
Slope-Intercept Form:
Y = mx + b
Y = The line.
M = Slope.
B = y-intercept.
The following may be equated, as stated:
- Slope = 0
Y = b
- Y-intercept = 7
Y = 7
Thus, on the Cartesian Plane is identified as a horizontal line positioned within quadrants I and II, intersection (0, 7).
please please please answer!! will give brainliest and extra points!
What is the volume of the pyramid below?
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
1/t=1/g+1/v make g the subject
Answer:
g = vt/(v - t)Step-by-step explanation:
See the solution in steps:
1/t = 1/g + 1/v1/g = 1/t - 1/v1/g = (v - t)/(vt)g = vt/(v - t)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.
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
Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 11 cm 7 cm, 23 cm, 11 cm, 12 cm, 7 cm, 19 cm 10 cm, 15 cm, 23 cm
Answer:
(d) 10 cm, 15 cm, 23 cm
Step-by-step explanation:
21 cm, 7 cm, 11 cm — 7+11 < 21 . . . not a triangle
7 cm, 23 cm, 11 cm — 7+11 < 23 . . . not a triangle
12 cm, 7 cm, 19 cm — 7+12 = 19 . . . not a triangle
10 cm, 15 cm, 23 cm — 10+15 > 23 . . . can form a triangle
__
The sum of the two shortest sides must exceed the length of the longest.
Determine the measure of the interior angle at vertex F
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
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)
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
The area of an isosceles triangle is 52 square inches. The height is 8 in. What is the length of the base?
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
