Answer:
f(-1) = -6
Step-by-step explanation:
f(x) = 12 / ( 4x+2)
Let x = -1
f(-1) = 12 / ( 4*-1+2)
= 12 / (-4+2)
= 12 / -2
= -6
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
[tex]43.1 ^{\circ}F[/tex]
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].
If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,
[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]
The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]
Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].
From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.
Answer:
Train =9 hours
Bus =12 hours
Step-by-step explanation:
Find attached the solution
Let the time taken by train be x
So the time taken by bus = 3+x
Speed of train =79 mph
Speed of bus = 59.25mph
Another question to get brainlest if you answer this and another one i will give you brainlest:)
Answer:
Step-by-step explanation:
1: 10
2: 100
3: 1000
4: 10000
5:100000
6:1000000
7:10000000
8:100000000
9:1000000000
9.6 times 10 to the ninth power is...
0:9.6
1:96
2:960
3:9600
4:96000
5:960000
6:9600000
7:96000000
8:960000000
9:9600000000
the second equation is 2000 so then i did this
9600000000
2000
______________
480000
which is in decimal form i believe is...
4.8 x 10 to the sixth power i hope its right and it helped :)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](9.6 \times {10}^{9} ) \div (2 \times {10}^{3} ) = [/tex]
[tex] \frac{9.6 \times {10}^{9} }{2 \times {10}^{3} } = \frac{96 \times {10}^{ - 1} \times {10}^{9} }{2 \times {10}^{3} } = \\ [/tex]
[tex] \frac{96}{2} \times {10}^{9 - 1} \times {10}^{ - 3} = \\ [/tex]
[tex]48 \times {10}^{8} \times {10}^{ - 3} = \\ [/tex]
[tex]48 \times {10}^{8 - 3} = [/tex]
[tex]48 \times {10}^{5} = [/tex]
[tex]4.8 \times {10}^{6} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is the second option.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Can you find a number that satisfy the following property?
a. If you multiply the number by 2 and add 4, the result you get will be the same as three time the number decreased by 7.
Answer:
11
Step-by-step explanation:
Let the number be x.
Then by the question,
2x+4 = 3x-7
x=11
Answer:
Let the no. be x
then according to the question,
[tex](x \times 2) + 4 = 3x - 7[/tex]
[tex]2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11[/tex]
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
for how many tickets is the cost the same for club members and non-members?
Answer:
The cost will be the same for 2 club members as for 1 non-member.
Step-by-step explanation:
There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.
However, if two club members purchase tickets, their cost is 2($3) = $6.
If one non-member purchases a ticket, the cost is 1($6) = $6.
does anyone know this
Answer:
A
Step-by-step explanation:
when you open the brackets you do 5 to the power of 5 and X to the power of 5
y = x + z
Solve the following equation
Answer:
for y, y = x + z
for x, x = y - z
for z, z = y - x
Plz mark brainliest:)
Answer:
[tex]x=y-z[/tex]
[tex]y = x + z[/tex]
[tex]z=y-x[/tex]
Step-by-step explanation:
[tex]y+(-z)=(x+z)+(-z)[/tex]
same as ^equation for all three ways
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term [tex]x[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term [tex]z[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Rachel needs to know if the triangle shown is a right triangle. Which equation could he use to help? 36 25 49 (triangle)
A. 136 + 25 = 49
B. 25 + 36 = 49
C. 252 + 362 = 492
D. 362-252 = 492
do u do all subjects
Answer:
most of them
Explanation:
equation represents a line which is parallel to the line 3y-x=-15?
Answer:
Any equation that has the same slope
Step-by-step explanation:
If two li es have the same slope that means they will never intercept
1=-11+n
Please help me
Answer:
n=12
Hope this helps!!!!!
Solve the following inequality. Give the answer in interval form. -4c>2(5-2c)
Answer:
I believe it would be no real number
Step-by-step explanation:
If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.
12) Which name we can give to these triangle
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
5 + 3 (y - 4 ) < 5 ( y +2 ) - y
The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]
The value of (-1728)+ V324 is
PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?
Answer:
75x+160<760
Step-by-step explanation:
uhh it should be that if it´s not i´m sorry
Answer:
75x+160>760
Step-by-step explanation:
Após recuperar-se de uma cirurgia, o treinador da corredora Andrea estipulou um plano de treinamento diário: correr 500 metros no primeiro dia e aumentar 200 metros por dia, a partir do segundo, até que ela atinja 10 km. Andrea pretende correr 10 km na maratona do Rio de Janeiro, no início do próximo ano. Em quantos dias de treinamento Andrea atingirá 10 km?
Explicación paso a paso:
La distancia recorrida el primer día = 500 m
Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;
500, (500 + 200), (500 + 200 + 200) ... 10,000
500, 700, 900 ... 10,000
para que sepamos el número total de días usados para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;
[tex]T_n = a+(n-1)d[/tex] where;
n es el número de términos
a es el primer término de la secuencia
d es la diferencia común
Dado a partir de la secuencia:
a = 500
Tn = 10,000
d = 700-500 = 900-700 = 200
Sustituir en la fórmula y calcular el valor de n
[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]
Andrea habría alcanzado los 10.000km tras 48,5 días de carrera
Please help This is due today help please ASAP
Answer:
6:05 PM
Step-by-step explanation:
Answer:
6:05 P. M.
Step-by-step explanation:
3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.
What is the value of sec A (include steps)
Answer:
17/15
Step-by-step explanation:
Sec A = 1/ Cos A
Cos A = Adjacent / Hypotenuse
1/Cos A = Hypotenuse / Adjacent
So, Sec A = Hypotenuse/Adjacent
= AB/AC
= 17/15
Answer:
17/15
Step-by-step explanation:
Secant is the inverse of cosine.
Cosine is the adjacent side divided by the hypotenuse.
cos A = 15/17
sec A = 17/15
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
The cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement C(63)=2268 mean?
Answer:
The cost to manufacture 63 chairs, and that cost is 2268.
Step-by-step explanation:
Mathematical Models
The cost to manufacture x chairs is given as the math model:
C(x)=36x
For example, to manufacture 10 chairs, we write:
C(10)=36*10=360
According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.
What is 64^2/4 in a fraction?
Answer:
128/4 or 32
Step-by-step explanation:
Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 8 ⇒ 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8 Take the square root of both sides to get the solutions
Answer:
Step-by-step explanation:
Given x^2 - 16x + 60 = -12
Using the completing the square method to find x;
subtract 60 from both sides
x2 - 16x + 60-60 = -12-60
x2 - 16x = -72
Add square of the half of the coefficient of x to both sides
x2 - 16x + (1/2(-16))² = -72 + (1/2(-16))²
x^2 - 16x +64 = -72+64
(x-8)² = -8
Take the square root of both sides
√(x-8)² = √-8
x - 8 = ±√8i
x = ±√8i+8
x = ±2√2i+8
The solution of the given equation is: [tex]x = 8+\sqrt{-8}[/tex] and [tex]\\x = 8-\sqrt{-8}[/tex].
Given that:
Equation: [tex]x^2 - 16x + 60 = -12[/tex]
Simplify the above equation as:
x² - 16x + 60 = -12
x² - 16x = -12 - 60
x² - 16x = -72
Add 64 to each side of the equation to complete the square.
x² - 16x + 64 = -72 + 64
x² - 16x + 64 = -8
Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.
(x - 8)² = -8
Take the square root of both sides to get the solutions.
[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]
where i is the imaginary unit.
Hence, the value of x are: [tex]x = 8+\sqrt{-8}[/tex] and [tex]\\x = 8-\sqrt{-8}[/tex].
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ6
Adam can assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours. How long will it
take Maria to do the job alone?
It takes Maria 7.5 hours to assemble a furniture set alone.
Let x represent the amount of time in hours that it takes Maria to assemble a furniture.
Given that it take Adam to assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours, hence:
3 hours (1 / 5hour) + 3 hours (1 / x) = 1
3/5 + 3/x = 1
3/x = 2/5
x = 7.5 hours
It takes Maria 7.5 hours to assemble a furniture set alone.
Find out more at: https://brainly.com/question/21105092
What is the sum of the measures of angles 2 and 3? Explain your answer.
Answer:
Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.
As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:
Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4Fill in the blank for each part below.
1) The slope is...
A. zero
B. Undefined
2) The equation is...
A. y=-1
B. X=-1
WILL GIVE BRAINLIEST, COMMENT, LIKE, AND 7 POINTS TO BEST ANSWER
If you and a friend walked the same difference at different time, how can you tell who walked faster?
Answer:
By the amount of time it took you guys to get there
Step-by-step explanation:
For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.
If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.
Hope I helped.
Find the slope of the line. REMEMBER: Slopes must be simplified.
Answer: 2
Step-by-step explanation:
Answer:
ill help
Step-by-step explanation: