Answer:
[tex](f/g)(4)=8[/tex]
Interpretation: 4 elephants traveled at a speed of 8 miles per hour
Step-by-step explanation:
Given
[tex]f(x) = 4x + 8[/tex]
[tex]g(x) = x -1[/tex]
Required
[tex](f/g)(4)[/tex]
This is calculated as:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
We have:
[tex]f(x) = 4x + 8[/tex]
[tex]f(4) = 4 * 4 + 8 =24[/tex]
[tex]g(x) = x -1[/tex]
[tex]g(4) = 4 - 1 = 3[/tex]
So:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
[tex](f/g)(4)=\frac{24}{3}[/tex]
[tex](f/g)(4)=8[/tex]
Answer:
Answer:C) 8; The elephants’ rate in miles per hour
Step-by-step explanation:
First write the question as an equation that can be solved to give you a numerical answer.
[f(4)=4(4)+8] / [g(4)=(4)-1]
Then solve the equation.
24/3=8
Finally use background information to give you the context.
Since the problem gives you the function for distance and the function for time then it can be concluded that the context will be the elephants’ rate in miles per hour
Step-by-step explanation:
help help help help pls
Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]
Therefore;
[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.
x−115=223
Please help
Answer:
338
Step-by-step explanation:
X - 115 = 223
Add 115 to both the sides
X - 115 + 115 = 223 + 115
x = 338
Answer:
338
Step-by-step explanation:
x - 115 =223
Collect terms
x = 223 + 115
x = 338
Hope this helps you!
pls mark as brainlest ans
Bye!
Solve for x. Round to the nearest tenth, if
necessary.
I hope this is help full to u
thank you
Answer:
x = 3.8
Step-by-step explanation:
take 53 degree as reference angle
using cos rule
cos 53 = adjacent/hypotenuse
0.60 = x /6.3
0.60*6.3 = x
3.78 = x
3.8 = x ( after converting the answer to nearest tenth)
can someone please help for brainlest
factorise fully the following expression (am-an+bm-bn)
Step-by-step explanation:
am-an+bm-bn
m(a+b)-n(a+b)
(m-n)(a-b)
Answer:
[tex] \small \sf \: ( m - n ) ( a + b )[/tex]
Step-by-step explanation:
( am - an + bm - bn)
Do the grouping= ( am - an ) + ( bm - bn )
Factor out a in the first and b in the second group= a ( m - n ) + b ( m - n )
factor out common term m - n by using distributive property= ( m - n ) ( a + b )
write an equation to find x, then solve for angle measure A. 25 points.
Answer:
Step-by-step explanation:
23). By applying triangle sum theorem in the given triangle,
(x + 83)° + (x + 48)° + 65° = 180°
2x + 196 = 180
2x = -16
x = -8
Measure of angle A = x + 48
= -8 + 48
= 40°
Therefore, Option A is the answer.
24). By triangle sum theorem,
(3x + 14)° + 90° + (4 + 3x)° = 180°
6x + 108 = 180
6x = 72
x = 12
Measure of angle A = (4 + 3x)
= 4 + 3(12)
= 40°
Therefore, Option A is the answer.
118°
D
B
angle C= ?
can anybody help pls?
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.
Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?
Answer:
Distance rode = 6 miles
Step-by-step explanation:
distance from home = 2 miles
remaining distance = 4 miles
The distance rode = 4 + 2 = 6 miles
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = [tex]\sqrt{100}[/tex] = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 2?
A)765
B)943
C)940
or none of these
For any number to be divisible by 2 the last digit in the number has to be an even number or the number 0.
A and B end with an odd number so cannot be divided by 2.
C ends with 0 so can be divided by 2
The answer is C. 940
which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answer:
girth is better than length. your welcum ;)
solve 32*25/80 using the power and exponents law
Answer:
the answer is 10 the power of one or 10
The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)
Answer:
my answer is x(x+3) + 2(x - 3)
Answer:
thanks for the information
Step-by-step explanation:
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
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 = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
What is the highest common factor of 65 and 56?
(when u solved it, can u show me how you got the answer because my teacher wants us the show the work as well)
ty
what is 8 to the power of ten?
Answer:
80
Step-by-step explanation:
......................................
Which expression is equivalent to 5y^-3
Answer:
5/y^3
Step-by-step explanation:
Find the surface area of the triangular prism. ______ square centimeters
Step-by-step explanation:
there is answer in the image above
How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?
Answer:
[tex]y=\frac{3}{2}x+(-14)[/tex]
Step-by-step explanation:
Equation of a line has been given as,
[tex]y=-\frac{2}{3}x[/tex] --------(1)
Slope of the line is,
[tex]m_1=-\frac{2}{3}[/tex]
By the property of perpendicular lines,
If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]
Therefore, slope of the line perpendicular to the line (1) will be,
[tex]-\frac{2}{3}\times m_2=-1[/tex]
[tex]m_2=\frac{3}{2}[/tex]
If this line passes through a point (4, -8) equation of the line will be,
[tex]y-y'=m_2(x-x')[/tex]
[tex]y+8=\frac{3}{2}(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-8[/tex]
[tex]y=\frac{3}{2}x-14[/tex]
In the triangle below, what is the measure of Z?
A. 90°
B. 7°
C. 65°
D. 50°
Answer:
C. 65
Step-by-step explanation:
Y and Z are the same angles so they would have the same measurement.
SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.
Answer:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then
[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )
[tex]\frac{2}{3}[/tex] = k
y = [tex]\frac{2}{3}[/tex] xz ← equation of variation
When x = 6 and z = 3 , then
y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Answer:
the answer to this question is
d.)y=⅔xz;y(6,3)=12
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)