Answer:
[tex]b(a) = \frac{a}{7} -5[/tex]
Step-by-step explanation:
Given
[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]
Required
The inverse function
We have:
[tex]a(b) = 14 * \frac{b + 5}{2}[/tex]
[tex]a(b) = 7(b + 5)[/tex]
Rewrite as:
[tex]a = 7(b + 5)[/tex]
Divide by 7
[tex]\frac{a}{7} =b + 5[/tex]
Subtract 5
[tex]b = \frac{a}{7} -5[/tex]
Express as:
[tex]b(a) = \frac{a}{7} -5[/tex] --- the inverse function
Drag each tile to the correct box
Arrange the following pairs of coordinates in order from least to greatest based on the distances between the points.
(4.1) and (2, 2)
(-5. 2) and (-3, -2)
(3.-4) and (-2, 1)
(-1.-2) and (1-4)
(5.-2) and (-1, -1)
Answer:
Step-by-step explanation:
Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
1). Distance between (4, 1) and (2, 2) = [tex]\sqrt{(4-2)^2+(1-2)^2}[/tex]
= [tex]\sqrt{5}[/tex]
= 2.24
2). Distance between (-5, 2) and (-3, -2) = [tex]\sqrt{(-5+3)^2+(2+2)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47
3). Distance between (3, -4) and (-2, 1) = [tex]\sqrt{(3+2)^2+(-4-1)^2}[/tex]
= [tex]\sqrt{50}[/tex]
= 7.07
4). Distance between (-1, -2) and (1, -4) = [tex]\sqrt{(1+1)^2+(-4+2)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83
5). Distance between (5, -2) and (-1, -1) = [tex]\sqrt{(5+1)^2+(-2+1)^2}[/tex]
= [tex]\sqrt{37}[/tex]
= 6.08
Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07
Answer:
Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),
Distance =
1). Distance between (4, 1) and (2, 2) =
=
= 2.24
2). Distance between (-5, 2) and (-3, -2) =
=
= 4.47
3). Distance between (3, -4) and (-2, 1) =
=
= 7.07
4). Distance between (-1, -2) and (1, -4) =
=
= 2.83
5). Distance between (5, -2) and (-1, -1) =
=
= 6.08
Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07
Step-by-step explanation:
For a function g(x), the difference quotient is StartFraction 6 Superscript x + h minus 3 Baseline minus 6 Superscript x + 3 Baseline Over h EndFraction. What is the average rate of change of g(x) on the interval from x = –2 to x = 1?
Answer:
The average rate of change in that interval is 1.99
Step-by-step explanation:
Here we have that the difference quotient for g(x) is:
[tex]\frac{6^{x + h} - 3 - 6^x + 3}{h}[/tex]
Remember that for a general function f(x), the difference quotient is:
[tex]\frac{f(x + h) - f(x)}{h}[/tex]
So if we look at the difference quotient for g(x), we can conclude that:
[tex]g(x) = 6^x - 3[/tex]
Also remember that the average rate of change in an interval (a, b) is just:
[tex]\frac{g(b) - g(a)}{b - a}[/tex]
So here we want the average rate of change of g(x) in the interval from x = -2 to x = 1, this is:
[tex]R = \frac{(6^1 - 3) - (6^{-2} - 3)}{1 - (-2)} = \frac{6 - 6^{-2}}{3} = 1.99[/tex]
The average rate of change in that interval is 1.99
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
Find f(-3) PLEASE HELP
Answer:
2
Step-by-step explanation:
When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.
If this helps please mark as brainliest
The system of inequalities below describes the relationship between Cori's age C and Livy's age L. C + L ≥ 43 C - 4L ≤ 3 Livy could be 13 years old and Cori could be 35 years old.
Answer:
Cori could be 35 years old.
Livy could be 8 years old
Step-by-step explanation:
Given
[tex]C + L \ge 43[/tex]
[tex]C - 4L \ge 3[/tex]
Required
Possible values of C and L
Make C the subject in: [tex]C - 4L \ge 3[/tex]
[tex]C \ge 3 + 4L[/tex]
Substitute for C in [tex]C + L \ge 43[/tex]
[tex]3 + 4L + L \ge 43[/tex]
[tex]3 + 5L \ge 43[/tex]
Collect like terms
[tex]5L \ge 43-3[/tex]
[tex]5L \ge 40[/tex]
Solve for L
[tex]L \ge 8[/tex]
Solve for C
[tex]C \ge 3 + 4L[/tex]
[tex]C \ge 3 + 4 * 8[/tex]
[tex]C \ge 35[/tex]
La moda es el valor de la variable que mas se repite, es decir , el valor que tiene mayor frecuencia. Calcula la moda de las puntuaciones que obtuvo cada deportista.
Answer:
Moda de Pablo: 4
Moda de Claudio: No tiene.
Step-by-step explanation:
Después de una pequeña búsqueda online, encuentre las tablas para este problema, las cuales se pueden observar abajo.
La moda es el valor que más se repite, para el caso de Pablo, podemos ver que el valor 14 se repite dos veces (de hecho es el único que se repite). Entonces es el valor que más se repite. Entonces la moda de Pablo es 14.
Para el caso de Claudio podemos ver que ningún valor se repite, entonces los datos de Claudio no tienen una moda.
Find the y- intercept of the rational function.
Answer choices:
A.) (0,-2)
B.) (-2,0)
C.) (0,6)
D.) (6,0)
Answer:
A. (0,-2)
Step-by-step explanation:
Meaning of a rational number is a number that can be expressed as the quotient or fraction
p/q of two integers, a numerator p and a non-zero denominator q.
Answer:
(A). (0,-2)
Step-by-step explanation:
y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.
If this helps you, please give brainliest!
Which number represents the probability of an event that is very likely to occur?
A. O 0.09
B. O 0.12
C. O 0.3
D. O 0.95
Answer:
D
Step-by-step explanation:
higher amount then the rest
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
Name the ordered pair for point H.
25 points if answered.
Answer:
H=(1,3)
This because the x-axis position is 1, and the y-axis position is 3.
(Find m∠IGH) m∠IGH=
Answer:
angle IGH = 50 degree
Step-by-step explanation:
triangle GHI is an isosceles triangle because it's two sides are equal.
if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.
Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False
Answer:
False
Step-by-step explanation:
False
There is not enough information to guarantee the lines are perpendicular.
No, we can not say that AB and CD are perpendicular from the information given.
What are perpendicular line?Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
Given that a triangle ABC, divided into two triangles by a line DC, also
angle DAC and DBC are congruent,
From the given information we can not conclude any relation between both triangles,
Hence, we can not say that AB ⊥ CD
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Help
Will
Give
BRIANLIST
Answer
" El ingreso mensual de una empresa está dado por la siguiente ecuación: (0,2) 10000(0,95) p I , dondep es la cantidad gastada en publicidad:a) ¿Cuál es el ingreso total, cuando no se tienen gastos publicitarios?b) ¿Cuál es el valor del ingreso total, si $ 15 es el gasto mensual en promoción?"
Respuesta:
Ingresos = 9500
Ingresos = 8573,75
Explicación paso a paso:
La ecuacion:
Yo = 10000 (0,95) ^ (0,2) p
p = monto gastado en publicidad
Los ingresos totales cuando no hay gastos:
p = 0
Yo = 10000 (0,95) ^ (0,2) * 0
Yo = 10000 (0,95) ^ 0
Yo = 10000 (0,95)
Yo = 9500
Si el gasto mensual de la promoción es de $ 15
p = $ 15
Yo = 10000 (0,95) ^ (0,2) * 15
Yo = 10000 (0,95) ^ 3
Yo = 10000 (0,857375)
Yo = 8573,75
what is 35,000,000+600,000+400+40+2 in standard form?
Step-by-step explanation:
here is the answer to thy question
Answer:
35,600,442
Step-by-step explanation:
If you line up the ones place then you can easily see. After you line it up, you can just add like normal.
35,000,000
00,600,000
00,000,400
00,000,040
+ 00,000,002
-----------------
35,600,442
2.5kg of potatoes cost $1.40 work out the cost of 4.25 kg of potatoes
Answer:
Cost of 4.25 kilogram potato = $2.38 (Approx.)
Step-by-step explanation:
Given:
Cost of 2.5 kilogram potato = $1.40
Find:
Cost of 4.25 kilogram potato
Computation:
Cost potato = Amount of potato need[Price of y potato / Amount of y potato]
Cost of 4.25 kilogram potato = [4.25][1.40 / 2.5]
Cost of 4.25 kilogram potato = [4.25][0.56]
Cost of 4.25 kilogram potato = 2.38
Cost of 4.25 kilogram potato = $2.38 (Approx.)
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
Answer the questions relating to the bar graph in the image.
Answer:
1. 20 degrees celsius
2. 24 degrees celsius
3. decreased
4. 6am
5. 10am
Step-by-step explanation:
What fraction of 40 kg is 16 kg?
Write your answer to part a as a percentage.
Answer:
I hope it helps u..........
8/-5. + -1/2 how do you do it because I really don't know
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{ - 21}{10} \:(or) \: - 2 \frac{1}{10} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{8}{ - 5} + ( \frac{ - 1}{2} )[/tex]
[tex] \\= \frac{ - 8}{5} - \frac{1}{2} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 5 and 2 is 10.
Now, multiply the L.C.M. with both numerator & denominator.
[tex]\\ = \frac{ - 8 \times 2}{5 \times 2} - \frac{1 \times 5}{2 \times 5} [/tex]
[tex] \\= \frac{ - 16}{10} - \frac{5}{10} [/tex]
Now that the denominators are equal, we can subtract the numerators.
[tex] \\= \frac{ - 16 - 5}{10} [/tex]
[tex] \\= \frac{ - 21}{10} [/tex]
[tex] \\= - 2 \frac{1}{10} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♨}}}}}[/tex]
Answer:
-21/10
Step-by-step explanation:
-8/5. + -1/2
2(-8/5) + (-1/2)5
-16/10 - 5/10
-21/10
hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?
Negative one-third x
Negative one-third
One-half x
One-half
Answer:
[tex]\dfrac{-x}{3}[/tex]should be added to the given equation.
Step-by-step explanation:
Let a is added to the given equation.
According to the given condition,
[tex]\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}[/tex]
So, [tex]\dfrac{-x}{3}[/tex]should be added to the given equation.
Select the correct answer. The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet
Answer:
the answer is B i think
Step-by-step explanation:
The probability of the Windermere Monster existing is 0.1.
What is the probability of it not existing? Can anyone answer it please
five fifth-grade teachers and six fourth-grade teachers ordered 2 large pizzas all together how much will each person need to pay.
Answer:
$5.50
Step-by-step explanation:
5+6= 11
11/2
The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?
Answer:
No, ice cream cannot fits inside the cone.
Step-by-step explanation:
radius of cone, r = 3 cm
height of cone, h = 10 cm
radius of ice cream sphere, R = 33.5 cm
The volume of the cone is
[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]
Volume of ice cream
[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]
As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.
Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)
Answer:
The y-component is 11.49 m.
Step-by-step explanation:
Given that,
Vector = 12 m
Angle, θ = 73.3°
We need to find the y-component of this vector.
It can be calculated as follows :
[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]
So, the y-component is 11.49 m.
In the circle below, segment AB is a diameter. If the length of arc ACB is 6pi what is the length of the radius of the circle?
Answer:
12
Step-by-step explanation:
Length of the radius of the circle is equals to 6units.
What is length of the arc?" Length of the arc is defined as the distance between two point as a part of the circumference of the given curve."
Formula used
Length of the arc = rθ
r = radius of the circle
θ = central angle
Radius = [tex]\frac{diameter}{2}[/tex]
According to the question,
Given,
Diameter = AB
Length of the arc = 6pi
Here central angle formed with diameter 'θ' = 180°
= [tex]\pi[/tex]
Substitute the value in the length of the arc formula we get,
[tex]6\pi = r \pi[/tex]
⇒ [tex]r = 6units[/tex]
Hence, length of the radius of the circle is equals to 6units.
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angle2 cong angle5 so A|| B
Answer:
False
Step-by-step explanation:
If angle 2 and angle 5 are equal in length, then what we have is that the two lines are not parallel
For the two lines to be parallel, these two angles should be supplementary
what this mean is that these two angles should add up to give 180 degrees
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Given:
Two rectangles are similar.
Length of first rectangle = 18 cm
Width of first rectangle = 6 cm
Width of second rectangle = 2 cm
To find:
The length of the second rectangle.
Solution:
We know that the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]
Let x be the length of the second rectangle. Then,
[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]
[tex]3=\dfrac{x}{2}[/tex]
[tex]3\times 2=x[/tex]
[tex]6=x[/tex]
Therefore, the length of the second rectangle is 6 cm.
Kim buys a carpet for a room. The carpet measures 6 metres by 6 metres. Kim pays £390 for the carpet. The room measures 5 metres by 5 metres. Work out the cost of the carpet she does not use.
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Answer:
Area = Length x width
Area of carpet = 6 x 6 = 36 square meters
Cost of carpet per square meter = total cost / area
Cost per square meter: 390 / 36 = £10.83
Area of room = 5 x 5 = 25 square meters.
Area of rug not used = area of room subtracted from area of carpet:
36 - 25 = 11 square meters
Cost of the carpet not used = area of carpet not used x cost per square meter
11 x 10.83 = 119.13
ANSWER: £119.13
Step-by-step explanation: