Answer:
The domain of this exponential function is (all real numbers).
Step-by-step explanation:
The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.
I hope this helps!
A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately
Answer:
10.07 meters
Step-by-step explanation:
We are given that the angle of elevation is 40° and the boy is 12 meters from the building.
This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].
The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.
Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(40^\circ)=\frac{x}{12}[/tex]
[tex]12tan(40^\circ)=x[/tex]
[tex]x=12tan(40^\circ)[/tex]
[tex]x\approx10.07[/tex]
Therefore, the height of the building is approximately 10.07 meters.
combine over common denominator 2/3a + 1/3 - 4/a
Solve for x 18 Х 16 24 0 15 O 12 0 24 o 17
Answer:
Look it up
Step-by-step explanation:
I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.
Answer:
Number 3 is 10
Step-by-step explanation:
16+13(10)=146
14(10)+6=146
Answer:
See answer below.
Step-by-step explanation:
# 3 x = number of boxes
$16 + 13x = Tracy cost
$6 + 14x = Brendan cost
The costs are equal.
16 + 13x = 6 + 14x
10 + 13x = 14x
10 = x
#4 First plan second plan
x = number of people at a table x = number of people at a table
y = number of people at a booths y = number of people at a booths
24x + 21y = 270 multiply by 23 ⇔ 552x + 483y = 6210
14x + 23y = 222 multiply by -21 ⇔ -294x - 483y = -4662
258x = 1548
x = 6
Six people at each tables
24 (6) + 21y = 270
144 + 21y = 270
21y = 126
y = 6
Answer: 6 people at each table; 6 people at each booth.
What is an equation of a line that passes through (0,3) and (2,4)
Answer:
y=1/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(2-0)
m=1/2
y-y1=m(x-x1)
y-3=1/2(x-0)
y=1/2(x)+3
y=1/2x+3
One gallon of gas costs $1.50. Three gallons of gas costs $4.50. How much will 9 gallons of gas cost?
Answer:
9 gallons will cost $13.50
Step-by-step explanation:
1 gallon = $1.50
1.50 x 9 = 13.50
or
3 gallons = $4.50
4.50 x 9 = 13.50
Answer:
13.5 dollars.
Step-by-step explanation:
4.50 times 3 is 13.5 dollars.
Have A Good Day!!! :)
HELP ASAP (40 POINTS)
Solve the equation.
16x^2 + 4 = 0
A: +/-4i
B: +/- 1/2i
C: +/- 1/4i
D: +/-2i
Answer:
c i think because the problem =-
[tex] - \frac{1}{4} [/tex]
Which option below is not a potential risk of purchasing a used car?
used cars can require repairs sooner
Shorter lifespans of the engine and transmission
used cars can have lower initial cost
unexpected issues may arise
Answer:
used cars can have a lower initial cost
Step-by-step explanation:
it is not a risk/hinder to purchasing a used car
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = -5/6x + 6
Step-by-step explanation:
Since we have 2 points, (6,0) and (6,1), we can calculate for the slope by using the formula
Slope = m = (y2 - y1)/(x2-x1) = (1-6)/(6-0) = -5/6
Then plug in m, x(from one of the point), and y(from one of the point) to the equation y = mx + b which get us 0 = -5/6*6+b if we use the point (6,0). Now we'll get b = 6. And then plug in -5/6 for m and 6 for b into the equation y = mx + b we'll get y = -5/6x + 6
A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?
A.) 240
B.) 630
C.) 210
D.) 633
Answer:
C.) 630
Step-by-step explanation:
14x15=210
210x3=630
See attachment for answer and math work.
solve one step equation x - 10.5 = 2.5
Answer:
x = 13
Step-by-step explanation:
need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13
Bianca, Kelly, and Sara are running a race. They
complete the race in 2.35 hours. If the race was
51.7 miles, calculate their average speed.
Helppppppppp
Answer:
22 miles per hour
Step-by-step explanation:
1. Formula: speed = distance/time
2. s = 51.7 mi ÷ 2.35 hrs
3. s = 22 miles per hour
HELP PLEASE ANYONE
Derrick has 3 times as many CDs as Joshua. Which equation compares the number of CDs that the two boys have? (Let d = number of Derrick's CDs and j = number of Joshua's CDs.) O A. 3d = j E ов O B. 3j = d c C. 3 + d = j OD. 3 + j = d
Answer:
b
Step-by-step explanation:
joshua times 3 is basically derrick's amount
so 3j = d
ABCD is a rectangle AB =15 centimeters AC = 25 cm Find The length of BC
Answer:
the answer is explained below (tap on the photo to view it fully)
For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
A because the > symbol means greater so if n is on the open side that means its greater
~Shoto Todoroki here~
its option A
i figured this out by trial and error :/
have a good day!
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
Read more about lengths at:
https://brainly.com/question/10545161
Find the value of x and the indicated angles.
Answer:
x = 19
Indicated angles: 113°
Step-by-step explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
=> 6x - 1 = 2x + 75=> 6x - 2x = 1 + 75=> 4x = 76=> x = 19Since we have found the required variable, we can now solve the indicated variables.
Given angles:
6(19) - 12(19) + 75Let's solve 6(19) - 1 first.
6(19) - 1=> 114 - 1=> 113Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
2(19) + 75=> 38 + 75=> 113We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money should she get back?
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
I NEEEEED HELP AND QUICK T~T
Answer:
5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr
Step-by-step explanation:
5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.
6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.
7. Alternate exterior, same as #1
8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines
9. Corresponding since they are at the same place on the 2 parallel lines.
HELPPPPPP WIL GIVE BRANELISTTTT
Answer: i think the answer is B
Step-by-step explanation:
one of the angles of a regular octagon has a measure of (7x-5) What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The interior angles of a regular octagon have measures of ...
180° -360°/8 = 135°
We want that equal to the given expression.
7x -5 = 135
7x = 140 . . . . add 5
x = 20 . . . . . divide by 7
The value of x is 20.
Answer:
20
Step-by-step explanation:
Regular octagon means that each angle is 135 degrees, so 135 = (7x - 5).
135 = 7x - 5,
135 + 5 = 7x,
140 = 7x,
140 / 7 = x,
20 = x
x+2y=0
3x+4y=4
find the solution
Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
Uhmm I think around 70 days or 90
I'm not sure
Answer:
6 days
Step-by-step explanation:
1 boy workload = 1/2 1 man workload
2 boys workload = 1/2*2 = 1 man workload
so 3 men + 2 boys workload = 4 men workload
3 men ..... 8 days ... 24man-days to build
4 men ..... x days ... 24man-days to build
x=24/4=6
Pls help me rn bec sue tmr pls pls
Answer:
Number of 1-cm cube 24. Volume of solid 24 cm^2
Step-by-step explanation:
What is the value of |–3.25| ?
Answer:
3.25Step-by-step explanation:
Rule: An absolute value will always be positive.
=> Referring to the rule, the absolute value of |–3.25| is 3.25.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A new ferrari costs 213,054 how much would it cost after a 35% discount?
kinda need help fast
30 points
Answer:
138485.1
Step-by-step explanation:
35% of 213,054 = 74568.9
213,054 - 74568.9 = 138485.1
PLEASE HELP 60 POINTS
if l || m, find the value of x
Answer:
x = 15
Step-by-step explanation:
84 = 5x + 9
Subtract 9
75 = 5x
Divide by 5
x = 15
Answer:
x = 15
Step-by-step explanation:
5x + 9 and 84 are alternate angles and are congruent , so
5x + 9 = 84 ( subtract 9 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
What is the area of the triangle?
Answer: 60 square units
Area of a triangle formula: 1/2 * base * height
So, the height is 10 units and base is 12 units
1/2 * 10 * 12
= 60 square units
Mr.Wedmore works at a car dealership and earns a monthly salary of $2,000. He also earns 25% commission on the gross profit of the car sales. If Mr.Wedmore brought in $10,000 worth of profit, for the dealership, how much would he earn this month
Answer:
25% of 2000= 500
25% of 10000= 2500
Step-by-step explanation: