find the value of x
PLS HELP
Answer:
75o
Step-by-step explanation:
2x+5 = 155 (parallel lines)
x=(155-5)/2=75 deg
Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom?
Answer:
1000 m
Step-by-step explanation:
Tom's distance = 400 m
Sophie's distance = 600 m
Hence. Distance per day = 600 - 400 = 200 m per days
In 5 days ;
200 m * 5 = 1000 m
Sophie travels 1000 m more
Given the function h(x)=-x^2 + X+4 determine the average rate of change of function over interval -1< x < 5
Answer:
- 3
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
[tex]\frac{h(b)-h(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 5 ] , then
h(b) = h(5) = - 5² + 5 + 4 = - 25 + 9 = - 16
h(a) = h(- 1) = - (- 1)² + (- 1) + 4 = - 1 - 1 + 4 = 2
average rate of change = [tex]\frac{-16-2}{5-(-1)}[/tex] = [tex]\frac{-18}{6}[/tex] = - 3
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
A delivery driver estimates his truck uses an average
of 22.5 gal of fuel per day. This estimate is within 4%
of the actual fuel the driver records each day for one
month
Answer:
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
Step-by-step explanation:
Estimate = 22.5 gallons
Error margin = 4%
Hence ;
4% of 22.5 = 0.9
Actual usage :
(22.5 - 0.9) = 21.6
(22.5 + 0.9) = 23.4
Actual usage is within (21.6 ; 23.4)
Hence,
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can.
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
Let f(x) = cos(x) + 2x.
Where does f have critical points?
Answer:
f has no critical points.
Step-by-step explanation:
We are given:
[tex]f(x)=\cos(x)+2x[/tex]
A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:
[tex]f'(x)=-\sin(x)+2[/tex]
Since this will never be undefined, solve for its zeros:
[tex]0=-\sin(x)+2[/tex]
Hence:
[tex]\displaystyle \sin(x)=2[/tex]
Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, f has no critical points.
help me pls no links or files if u answer correctly u get brainless hurry
Answer:
72 ft^2
Step-by-step explanation:
A = bh
A = 12 ft * 6 ft
A = 72 ft^2
Answer:
72
Step-by-step explanation:
you have to do base times height
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
what fraction is bigger? 11/20 or 2/5
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
find the gradient of line ab
Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?
1/2 of 5 for my Khan Academy answer
Answer:
...
Step-by-step explanation:
Move a number to each box to create an equation to solve 8/100 + 9/10
Answer: the answer is 0.98.
Step-by-step explanation:
the equation 8/100 + 9/10 = 0.98.
MARK ME BRAINSET
simplify: x'2-9/x'2-3x
Answer:
this is the answer Hope's it helps
If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.
Given:
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
To find:
The f'(y).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
Differentiation of exponential:
[tex]\dfrac{d}{dx}e^x=e^x[/tex]
We have,
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
Differentiate with respect to y.
[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]
[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]
[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]
Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].
Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?
Answer:
a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
Step-by-step explanation:
a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:
[tex]h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min[/tex]
[tex]h = 26\,m[/tex]
El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:
[tex]\frac{2\,m}{5\,min} = \frac{50\,m}{t}[/tex]
[tex]t = 50\,m\times \frac{5\,min}{2\,m}[/tex]
[tex]t = 125\,min[/tex] ([tex]2\,h\,5\,min[/tex])
El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:
[tex]\Delta t = 125\,min - 60\,min[/tex]
[tex]\Delta t = 65\,min[/tex] ([tex]1\,h\,5\,min[/tex])
Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
please help! i will give brainliest if you answer all and correctly
Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
need math help please!
Answer:
14.1
Step-by-step explanation:
[tex]\frac{\pi *angle*radius}{180}[/tex] here is a formula for finding the answer for the future
We know that the angle is 54 degrees and the radius is 15 units
So now that we have the formula we can plug in the numbers which would like this:
[tex]\frac{\pi*54*15}{180}[/tex]Calculate: 14.1371669412
Round to the nearest tenth = 14.1
Hope this helps :)
3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
Respuesta:
2x - 0.5x = 30
x = 20
Explicación paso a paso:
Llamemos "x" a la incógnita, el número desconocido.
Cuando nos referimos al doble de un número, es lo mismo que 2x.
Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.
Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:
2x - 0.5x = 30
1.5x = 30
x = 30/1.5 = 20
Which of the following exponential functions represents the graph below
Answer:
option B
Step-by-step explanation:
helpppp pleaseeeeeee
Answer:
312ft
Step-by-step explanation:
A Baker has 88 muffins. He fills large boxes that hold 9 muffins each. Then,he puts the leftover muffins in a small box. How many muffins are in the small box?
Answer: 7
Step-by-step explanation:
9 x 9 =81
88-81=7
There will be 7 muffins in the small box.
The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
please explain asap :(
Answer:
x = 40
Step-by-step explanation:
Both angles are opposites and will therefore have the same measurements.
Set your formula up as
142 = 3x + 22
142 - 22 = 3x
120 = 3x
120/3 = x
40 = x
You can also test this by placing 40 in place of x in your formula to check your work
3 * 40 + 22 = 142
The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order
PLEASE HELP I WILL GIVE BRAINLiST
Write the equation of the circle graphed below.
Answer:
(x+5)²+(y+5)²=18
Step-by-step explanation:
r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9
=√18
the equation is :
(x+5)²+(y+5)²=18
A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
Mr. Johnson buys 5 bottles of lemonade for the school plenie, He buys four 28-
ounce bottles and one 64 ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
Answer:
He bought about 176 ounces or 22 cups, or 5.2 liters.
Step-by-step explanation:
1.) 4 * 28 = 112
2.) 112 + 64 = 176 (answer in ounces)
3.) 8 ounces in a cup
4.) 176 ÷ 8 = 22 (answer in cups)
5.) About 4.227 cups in a liter
6.) 22 ÷ 4.227 = 5.204636858
7.) Round to the nearest tenth = 5.2 (answer in liters)