Answer:
C
Step-by-step explanation:
9x+7+10x+8+70=180
19x+85=180
19x=95
x=5
9(5)+7=52
180-110=70
-qx + p = r. Slove for X.
Answer:
x=-r-p/q
Step-by-step explanation:
The sum of two numbers is less than 10. If we subtract the second number from the first, the difference is greater than 3
Answer:
im stuck
Step-by-step explanation:
The greatest common factor of 4xy and -6xy
Answer:
The greatest common factor is 2x
This is a scale drawing of
A ski chalet. The height of
the chalet in the drawing
is 7 inches. The scale that maps
the drawing to the actual chalet is 1 inch to 6.5 feet.
Answer:
Actual height of the Chalet = 45.5 ft
Step-by-step explanation:
Given:
Height of chalet in drawing = 7 inches
Scale of drawing = 1 inch : 6.5 ft
Required:
Actual height of the Chalet
SOLUTION:
Actual of height of the Chalet can be calculated using proportion as follows,
Let the actual height be x.
Thus,
1 in : 6.5 ft = 7 in : x ft
[tex] \frac{1}{6.5} = \frac{7}{x} [/tex]
Cross multiply
[tex] 1*x = 7*6.5 [/tex]
[tex] x = 45.5 ft [/tex]
Actual height of the Chalet = 45.5 ft
Jake dives from a diving board that is 18 feet off the ground. He reaches a maximum height of 26 feet after 2 seconds. What is the standard and vertex formula of this quadratic equation and in how many seconds with Jake hit the water?
Answer:
The time it will take Jake to hit the water ia approximately 4.46 seconds
Step-by-step explanation:
The given parameters in the question are; feet
The height off the ground, of the diving board from which Jake dives, h₀ = 18 feet
g = The acceleration due to gravity
The maximum height Jake reaches, h = 26 feet
The time Jake takes to reach maximum height = 2 seconds
We have;
h = h₀ + u·t + 1/2·g·t²
v² = u² - 2·g·(h - h₀)
v = u - gt
u = gt
Where;
v = The final velocity
u = The initial velocity
t = The time taken
u = 9.81 × 2 = 19.62 m/s
The vertex form of a quadratic equation is f(x) = a(x - h)² + k², with the vertex = (h, k)
Substituting the values, gives;
26 = 18 + u·t - 1/2 × 9.81 × t²
8 = 19.62·t - 1/2 × 9.81 × t² = 19.62·t - 4.905·t²
19.62·t - 4.905·t² - 8 = 0
Therefore, the standard form is -4.905·t² + 19.62·t - 8 = 0
The coordinate of the vertex, is (2, 8), the vertex form is therefore;
-4.905(t - 2)² + 8
2) The time it will take Jake to hit the water is given as follows;
The height at which Jake meets the water = -18 feet from initial height
∴ -4.905·t² + 19.62·t - 8 = -18
-4.905·t² + 19.62·t - 8 + 18 = 0
-4.905·t² + 19.62·t + 10 = 0
t² - 4·t - 2.04 = 0
By the quadratic formula, we have;
t = (4 ± √((-4)² - 4 × 1 × -2.04))/(2×1)
t ≈ 4.46 seconds or t ≈ -0.46 seconds
∴ t ≈ 4.46 seconds
The time it will take Jake to hit the water ≈ 4.46 seconds.
(-1,4) and (1,-1) find the distance
Answer:
Step-by-step explanation:
what the the answer to 36 = 18x
Answer:
Step-by-step explanation:
C=2
help. please. i have to type 20 things.
Answer:
Top Left: Acute Top Right: Acute Bottom Right: Obtuse Bottom Left: Right
Step-by-step explanation:
The top left and right have all angles less than 90 degrees which makes them acute. The Bottom right has an angle over 90 degrees which makes it obtuse, and the last one has a right angle 90 degrees.
plz help i don’t understand at all
What is the volume of a cone with a diameter of 10 cm at the base and a height of 20 cm? Use 3.14 for pie. Round to the nearest 10th of cubic centimeters.
Molly is painting her bedroom walls, and the paint costs $24 per gallon. How much does the paint cost per quart?
$3 per quart
$6 per quart
$48 per quart
$96 per quart
$6 per quart.
A quart is 1/4 of a gallon.
Answer:
$6 per quart
Step-by-step explanation:
Since we are trying to find out how much money a quart of paint will cost, we need to find out how many quarts are in one gallon.
There are 4 quarts in a gallon, therefore we take $24 divided by 4 and get $6 per quart.
Which product is equal to 4?
A.4x11/10
B.4x2/3
C.4x5/8
D.4x5/5
Answer:
D
Step-by-step explanation:
5/5 = 1 so 4 times 1 is four
72 times what gives you 6834
Answer:
94.917
Step-by-step explanation:
6834/72 = 94.916666
-12 is greater or equal to 3x
Answer:
x is greater than -4
Step-by-step explanation:
divide both sides by 3
Step-by-step explanation:
.
Help pleaseeeeeeeeeee
A. Quadrant I
B. Quadrant I
C. Quadrant II
D. Quadrant III
which of the following pairs of functions are inverses of each other
Answer:
c would be the answer you are looking for and please mark brainliest
Step-by-step explanation:
Options A and D have functions that are inverses of each other.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.
Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.
A. f(x) = 7/(x-9) and g(x) = (x+9)/7
f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.
B. f(x) = x/6 + 8 and g(x) = 6x - 8
f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.
C. f(x) = 2 + ∛x and g(x) = 2 - x³
f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.
D. f(x) = 5x - 11 and g(x) = (x+11)/5
f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.
Therefore, only options A and D have functions that are inverses of each other.
Learn more about inverse functions here:
brainly.com/question/2541698
#SPJ7
Which of the following is the restricted value of (x-5)/(〖3x〗^2-10x-25) ? *
Given:
The expression is
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
To find:
The restricted value of given expression.
Solution:
We have,
[tex]\dfrac{x-5}{3x^2-10x-25}[/tex]
Equate the denominate equal to 0, to find the restricted value.
[tex]3x^2-10x-25=0[/tex]
[tex]3x^2-15x+5x-25=0[/tex]
[tex]3x(x-5)+5(x-5)=0[/tex]
[tex](x-5)(3x+5)=0[/tex]
Using zero product property, we get
[tex]x-5=0\text{ and }3x+5=0[/tex]
[tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex]
Therefore, the restricted values are [tex]x=5\text{ and }x=-\dfrac{5}{3}[/tex].
(-6,0), y= 1/3x - 3 Write an equation of the line that passes through the given point and is parallel to the given line equation of the line in slope-intercept form: equation of the line in point-slope form:
Answer:
y=1/3x+2
Step-by-step explanation:
Answer:
Y=1/3x+2
Step-by-step explanation:
I got this answer write on my assignment.
(a) The weight of a package affects the cost to send that package through the mail.
Which is the dependent variable?
weight of package
cost to mail package
Answer:
cost to mail package
Step-by-step explanation:
the weight is not dependant on the cost to mail the package
the cost depends on how much the package weighs.
A platter holds 24 strawberries, 2 apples, and 16 are oranges. What fraction of all the fruit are strawberries? What fraction are apples? What fraction are oranges?
Answer:
strawberries are 24/42 apples are 2/42 and oranges are 16/42
Step-by-step explanation:
Trust me i did these same exact problems!!!
Also mark me brainly if this helped!!! :)
The fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A platter holds 24 strawberries, 2 apples, and 16 are oranges.
The total number of fruits = 24 + 2 + 16
The total number of fruits = 42
The fraction for strawberries = 24/42 = 12/21
The fraction for apples = 2/42 = 1/21
The fraction for oranges = 16/42 = 8/21
Thus, the fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Plsss help me I need this paper by tomorrow
Answer:
rise over run
Step-by-step explanation:
rise: 5
run: 6
5/6 i think
The supermarket has 48 aisles. 12 of the aisles are empty. What percentage of the aisles are empty
Answer:
25% of the isles are empty
Step-by-step explanation:
48/12 is 25%
Answer:
25%
Step-by-step explanation:
12 + 12 + 12 + 12= 48
if 12 isles are empty, then that is 1/4 of 48 aka 25%
What is the equation of this line?
y=−2x+2/3
y=2/3x−2
y=3/2x−2
y=−2x+3/2
Answer:
y=2/3x-2
Step-by-step explanation:
Which shows the correct solution to the inequality To 21 +22
10
218 +p
7
10
5
-
1
-1
28 25
40 40
2p
3
ps-1
40
7 5
10
21+
7
-1
10
g+p
28 25
- 1
40
40 20
02-13
Mark this and return
Ne
SE
Answer:
C
Step-by-step explanation:
the answer is C !!!!!!!!!!!!!!!
If x% of 75 = 9, then the value of x is
Answer:
x = 12
Step-by-step explanation:
x/100 * 75 =9
x = 9 * 100/75
x = 900/75
x = 12
I'm abt to burn my house down follow my insta, rsokolskiy9, for the full video
Answer:
oh my
Step-by-step explanation:
Answer:
I- cool
Step-by-step explanation:
So far, Brian has burned 147.8 calories. He wants to burn a total of 400 calories. How many more calories must Brian burn?
Answer:
252.2 calories
Step-by-step explanation:
400- 147.8
Answer: 252.2
Step-by-step explanation:
Round off 13,486 to the nearest hundred.
Answer:
13,500
Step-by-step explanation:
Answer: 13,500
Step-by-step explanation:
So the 4 is in the hundred place than u look to the right where the next digit is which is 8. If its 5 or more u round up but if its 5 or less it stays the same. So 8 is 5 or more than u round up the 4 to 5 and leave the rest of the digit 0's. but u leave the 13 the same. If that makes sense.
can someone pleaseeeee help with this
Answer:
no solution or the empty set
Step-by-step explanation:
3(x-2)+1≥x+2(X+2)
3x -6+1≥x+2x+4 distribute
3x-5≥3x+4
0≥9 not a true statement, no solution
Find the solutions to the equation below 9x^2 -81=0
Step-by-step explanation:
=
−
±
2
−
4
√
2
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
9
2
−
8
1
=
0
9x^{2}-81=0
9x2−81=0
=
9
a=
a=9
=
0
b={\color{#e8710a}{0}}
b=0
=
−
8
1
c={\color{#129eaf}{-81}}
c=−81
=
−
0
±
0
2
−
4
⋅
9
(
−
8
1
)
√
2
⋅
9
x=2⋅9−0±02−4⋅9(−81)