Answer:
x=5
Step-by-step explanation:
10x + 3 = 9 x -2
10•x + 3 = 9•x -2
3/8 of the homes have a red door how many homes have a red door
Answer:
three out of the eight homes have red doors. so 3 homes have red doors
Step-by-step explanation:
(Sinθ-cosθ)(sinθ+cosθ)=1-2cos^2θ
Answer:
See below
Step-by-step explanation:
[tex]( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) = 1 - 2 { \cos}^{2} \theta \\ \\ LHS = ( \sin \theta - \cos \theta)( \sin \theta + \cos \theta) \\ \\ = \sin^{2} \theta - \cos^{2} \theta \\ \\ =1 - \cos^{2} \theta - \cos^{2} \theta \\( \because \sin^{2} \theta =1 - \cos^{2} \theta) \\ \\ = 1 - 2 { \cos}^{2} \theta \\ = RHS[/tex]
Thus proved
2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?
Answer:
I think the answer would be 125 iPhones.
Step-by-step explanation:
So basically the question is what is 2.5% of 5000.
Just multiply 5000 * 0.025 = 125
scrieti primi doi mmultipli omuni ai numerelor naturale a) 4 si 6 b)6 si 9
raspunsul repede va rog
Answer:
Step-by-step explanation:
(a).
Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }
Multiples of 6 are {6, 12, 18, 24, 30, ..... }
12 and 24
(b).
Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }
Multiples of 9 are {9, 18, 27, 36, 45, ..... }
18 and 36
The legs of a right triangle measure 8 inches and 12 inches. What is the area
of the triangle?
A. 192 sq. inches
B. 24 sq. inches
C. 48 sq. inches
D. 96 sq. inches
Answer:48 sq. Inches
Step-by-step explanation:
Find the GCF of 32, 64, and 96. The GCF is _______.
Answer:
128
Step-by-step explanation:
If you multiply you get it.
Answer:
The GCF of these numbers are 32.
Step-by-step explanation:
All of these integers are able to be divided, and by the first number.
Hope this helps! :3
At a university, Todd deposits $100 into his cafeteria account. He spends $5 on dinner every day. Seth deposits $140 into his account. He spends $5 on lunch and $5 on dinner every day. After how many days will Todd and Seth have the same amount of money in their accounts? 16 8 4 2
Answer:
The answer is 8 days.
Step-by-step explanation:
By applying the correct equations to Todd and Seth's balances for each day we end up with Todd and Seth having an equal balance in their accounts by day 8, alternatively, we can show that Todd and Seth have the same amount of money in their accounts by day 8 with this table
Day - Todd - Seth
1 - 95 - 130
2 - 90 - 120
3 - 85 - 110
4 - 80 - 100
5 - 75 - 90
6 - 70 - 80
7 - 65 - 70
8 - 60 - 60
What is growth mindset? Describe growth mindset.
What is growth mindset examples?
What is the meaning of growth mindset?
How growth mindset can lead to success?
Answer:
Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.
Step-by-step explanation:
What is the x-intercept of the line?
(22,36)
(27,54)
(32,72)
Answer:
12
Step-by-step explanation:
the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12
The x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
Here,
To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.
At the x-intercept, the y-coordinate is always 0.
Let's use the given data to find the equation of the line first using two points (x, y):
Using (22, 36) and (27, 54):
Calculate the slope (m) of the line:
m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5
Use the slope and one of the points to find the equation of the line
(y = mx + b).
Let's use (22, 36):
36 = (18/5) * 22 + b
36 = 39.6 + b
b = 36 - 39.6
b = -3.6
So, the equation of the line is y = (18/5)x - 3.6.
Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:
0 = (18/5)x - 3.6
(18/5)x = 3.6
x = 3.6 * 5 / 18
x = 1
Therefore, the x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
learn more on x-intercept :
https://brainly.com/question/1698680
#SPJ4
Which set of data is most accurately represented by a logarithmic model?
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answer:
[tex]r = 1.34[/tex]
Step-by-step explanation:
Given
Solid = Cylinder + 2 hemisphere
[tex]Volume = 10cm^3[/tex]
Required
Determine the radius (r) that minimizes the surface area
First, we need to determine the volume of the shape.
Volume of Cylinder (V1) is:
[tex]V_1 = \pi r^2h[/tex]
Volume of 2 hemispheres (V2) is:
[tex]V_2 = \frac{2}{3}\pi r^3 +\frac{2}{3}\pi r^3[/tex]
[tex]V_2 = \frac{4}{3}\pi r^3[/tex]
Volume of the solid is:
[tex]V = V_1 + V_2[/tex]
[tex]V = \pi r^2h + \frac{4}{3}\pi r^3[/tex]
Substitute 10 for V
[tex]10 = \pi r^2h + \frac{4}{3}\pi r^3[/tex]
Next, we make h the subject
[tex]\pi r^2h = 10 - \frac{4}{3}\pi r^3[/tex]
Solve for h
[tex]h = \frac{10}{\pi r^2} - \frac{\frac{4}{3}\pi r^3 }{\pi r^2}[/tex]
[tex]h = \frac{10}{\pi r^2} - \frac{4\pi r^3 }{3\pi r^2}[/tex]
[tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]
Next, we determine the surface area
Surface area (A1) of the cylinder:
Note that the cylinder is covered by the 2 hemisphere.
So, we only calculate the surface area of the curved surface.
i.e.
[tex]A_1 = 2\pi rh[/tex]
Surface Area (A2) of 2 hemispheres is:
[tex]A_2 = 2\pi r^2+2\pi r^2[/tex]
[tex]A_2 = 4\pi r^2[/tex]
Surface Area (A) of solid is
[tex]A = A_1 + A_2[/tex]
[tex]A = 2\pi rh + 4\pi r^2[/tex]
Substitute [tex]h = \frac{10}{\pi r^2} - \frac{4r }{3}[/tex]
[tex]A = 2\pi r(\frac{10}{\pi r^2} - \frac{4r }{3}) + 4\pi r^2[/tex]
Open bracket
[tex]A = \frac{2\pi r*10}{\pi r^2} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]
[tex]A = \frac{2*10}{r} - \frac{2\pi r*4r }{3} + 4\pi r^2[/tex]
[tex]A = \frac{20}{r} - \frac{8\pi r^2 }{3} + 4\pi r^2[/tex]
[tex]A = \frac{20}{r} + \frac{-8\pi r^2 }{3} + 4\pi r^2[/tex]
Take LCM
[tex]A = \frac{20}{r} + \frac{-8\pi r^2 + 12\pi r^2}{3}[/tex]
[tex]A = \frac{20}{r} + \frac{4\pi r^2}{3}[/tex]
Differentiate w.r.t r
[tex]A' = -\frac{20}{r^2} + \frac{8\pi r}{3}[/tex]
Equate A' to 0
[tex]-\frac{20}{r^2} + \frac{8\pi r}{3} = 0[/tex]
Solve for r
[tex]\frac{8\pi r}{3} = \frac{20}{r^2}[/tex]
Cross Multiply
[tex]8\pi r * r^2 = 20 * 3[/tex]
[tex]8\pi r^3 = 60[/tex]
Divide both sides by [tex]8\pi[/tex]
[tex]r^3 = \frac{60}{8\pi}[/tex]
[tex]r^3 = \frac{15}{2\pi}[/tex]
Take [tex]\pi = 22/7[/tex]
[tex]r^3 = \frac{15}{2 * 22/7}[/tex]
[tex]r^3 = \frac{15}{44/7}[/tex]
[tex]r^3 = \frac{15*7}{44}[/tex]
[tex]r^3 = \frac{105}{44}[/tex]
Take cube roots of both sides
[tex]r = \sqrt[3]{\frac{105}{44}}[/tex]
[tex]r = \sqrt[3]{2.38636363636}[/tex]
[tex]r = 1.33632535155[/tex]
[tex]r = 1.34[/tex] (approximated)
Hence, the radius is 1.34cm
The radius of the cylinder that produces the minimum surface area is 1.34cm and this can be determined by using the formula area and volume of cylinder and hemisphere.
Given :
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 10 cubic centimeters.The volume of a cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The total volume of the two hemispheres is given by:
[tex]\rm V' = 2\times \dfrac{2}{3}\pi r^3[/tex]
[tex]\rm V' = \dfrac{4}{3}\pi r^3[/tex]
Now, the total volume of the solid is given by:
[tex]\rm V_T = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]
Now, substitute the value of the total volume in the above expression and then solve for h.
[tex]\rm 10 = \pi r^2 h+\dfrac{4}{3}\pi r^3[/tex]
[tex]\rm h = \dfrac{10}{\pi r^2}-\dfrac{4r}{3}[/tex]
Now, the surface area of the curved surface is given by:
[tex]\rm A = 2\pi r h[/tex]
Now, the surface area of the two hemispheres is given by:
[tex]\rm A'=2\times (2\pi r^2)[/tex]
[tex]\rm A'=4\pi r^2[/tex]
Now, the total area is given by:
[tex]\rm A_T = 2\pi rh+4\pi r^2[/tex]
Now, substitute the value of 'h' in the above expression.
[tex]\rm A_T = 2\pi r\left(\dfrac{10}{\pi r^2}-\dfrac{4r}{3}\right)+4\pi r^2[/tex]
Simplify the above expression.
[tex]\rm A_T = \dfrac{20}{r} + \dfrac{4\pi r^2}{3}[/tex]
Now, differentiate the total area with respect to 'r'.
[tex]\rm \dfrac{dA_T}{dr} = -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]
Now, equate the above expression to zero.
[tex]\rm 0= -\dfrac{20}{r^2} + \dfrac{8\pi r}{3}[/tex]
Simplify the above expression in order to determine the value of 'r'.
[tex]8\pi r^3=60[/tex]
r = 1.34 cm
For more information, refer to the link given below:
https://brainly.com/question/11952845
2. Multiply the following:
a. 3.5(x)
Answer:
3.5x
Step-by-step explanation:
3.5(x)=3.5x
After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches?
Answer:
0.9987
Step-by-step explanation:
Using Z score formula
z = (x-μ)/σ, where
x is the raw score = 52 inches
μ is the population mean = 94 inches
σ is the population standard deviation = 14 inches
z = 52 - 94/14
z =-3
Probability value from Z-Table:
P(x<52) = 0.0013499
P(x>52) = 1 - P(x<52)
P(x>52) = 1 - 0.0013499
= 0.99865
Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987
Answer:
Step-by-step explanation:
99.87 for Knewton Alta
Find the area of the Compound shape
The answer is 108 m^2 and 27 cm^2
I just need the steps....
Answer:
Step-by-step explanation:
6² + 12 × 6 = 36 + 72 = 108 m²
[tex]\frac{3*6}{2}[/tex] + 6 × 3 = 9 + 18 = 27 cm²
Answer:
108
Step-by-step explanation:
Which set of ordered pairs below is a function?
A {(3,–2); (5,–3); (7,–4); (9,–5)}
B {(3,–2); (3,–12); (9,–2); (12,–2)}
C {(4,–2); (5,–3); (7,–4); (7,–5)}
D{(4,–2); (4,–3); (4,–8); (4,–9)}
3)m I really need help
====================================================
Explanation:
We'll use the angle addition postulate. This is basically the idea where we can break any angle into smaller parts, or go in reverse to build up larger angles based on smaller pieces.
In this case, we can see that the smaller angles KLU and ULM combine to form the largest angle KLM. Think of it like puzzle pieces.
Let x be the measure of angle ULM
We can say the following
(angle KLU) + (angle ULM) = angle KLM
(36) + (x) = 156
36 + x = 156
To solve for x, we subtract 36 from both sides
36+x-36 = 156-36
x = 120
Angle ULM is 120 degrees.
-------------------
As a check,
(angle KLU) + (angle ULM) = 36 + 120 = 156
which matches with angle KLM, so the answer is confirmed.
Let x represent the price of a movie ticket. A local movie theater decided to increase the price of a movie ticket by 30%. Which expression can be used to calculate the new, increased price of a movie ticket?
A. 30x
B. x over the number 30
C. 0.3x
D. 1.3x
Answer:
A
Step-by-step explanation:
30 times x all the others are incorrect so by process of elimination it is a
7 cards are drawn from a standard deck of 52 playing cards. How many different 7-card hands are possible if the drawing is done without replacement?
Answer:
The number of different 7 card hands possibility is 133784560
Step-by-step explanation:
The computation of the number of different 7 card hands possibility is shown below:
Here we use the combination as the orders of choosing it is not significant
So,
The number of the different hands possible would be
= [tex]^{52}C_7[/tex]
= 52! ÷ (7! × (52 - 7)!)
= 133784560
Hence, the number of different 7 card hands possibility is 133784560
The data from the U.S. Census Bureau for 1980-2010 shows that the median weekly earnings of full-time
male employees who have at least a bachelor's degree can be modeled by the function
M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6 where x Is the number of years after 1980 and M(x) Is the
median weekly earnings in dollars. The median weekly earnings of all full-time employees who have at
least a Bachelor's degree can be modeled by the function T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3 where
x Is the number of years after 1980 and T(x) Is the median weekly earnings in dollars.
Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in
2006. Round to the nearest dollar.
The median weekly earnings of a female employee in 2006 is about
Answer:
890.908
Step-by-step explanation:
Given that :
Median weekly salary for males :
M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6
x = number of years after 1980
Median weekly salary for all employees :
T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3
Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006
Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)
F(x) = T(x) - M(x)
F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)
F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)
F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7
x = 2006 - 1980 = 26
F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7
0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908
=
PLEASE HELP!
What is the result when the number 78 is increased by 55%?
Answer:
hope this helps
Step-by-step explanation:
.55×78=42.9
78+42.9
=120.9 round off 121
Answer: 120.9 I believe.
Step-by-step explanation:
55% of 78 is 42.9.
(55 x 78 over 100 = 42.9)
Therefore take 78 + 42.9.
120.9
Resuelve la ecuación de la recta
que pasa por el punto (2 , 8 ) y tiene una pendiente de -3.
ayudaaaa
Answer:
SPANISH TALK ENGLISH OK
Step-by-step explanation:
OKKK
Helllppppppp. A wheelbarrow has a wheel with a diameter of 10 in. What is the distance, in
inches, that the wheelbarrow moves after 16 full rotations of the wheel?
Answer:
160 in.
Step-by-step explanation:
10 * 16 = 160
9. A company's quality control department found and average of 1.6 defective
models for every 1000 models that were checked. If the company produced
160,000 models in a year, how many of them would be expected to be
defective?
(a) 356
(b) 256
(c) 476 (d) 856
what’s this answer please need help
Answer: -1 [(y-b)/m]+x=a
Step-by-step explanation:
(Y-b) / m = x-a
[(y-b)/m] -x =-a
-1 [(y-b)/m]+x=a
pls pls pls help i am terrible at math.
where do the points go?
Answer:
I presume that 10x would be on the x axis to the right of 0.
-7y would be on the y axis under 0. Therefore in between -6 and -8
You might know this but very important
X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)
What is the slope of the line?
Answer:
slope = 7/4
Step-by-step explanation:
slope is found by figuring the change in y-values over the change in x-values. Look for points on the line that go through an intersection of the graph lines exactly. I found the points (3, 4) and (-1, -3)
difference of y/difference of x = 4-(-3) / 3-(-1) = 7/4
10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?
Answer:$35
Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right
Hell and thanks please
Answer:
A
Step-by-step explanation:
JUAN VIAJO DE SALAMANCA A CELAYA Y RECORRIO 25 CM. ¿CUÁNTOS METROS
RECORRIO?
Answer:
0.025
Step-by-step explanation:
Answer:
0.25 metros.
Step-by-step explanation:
cada centimetro es 0.01 metro.
A river flows due south at 1.4 mi/h. In what direction should the swimmer head, at a velocity of 3 mi/h, in order to arrive at a landing point due east of his starting point? (Round your answer to one decimal place.)
Solution:
It is that a river is flowing in the south direction with a speed of [tex]$v_r$[/tex]1.4 mi/h.
A swimmer wishes to cross the river in a horizontal direction so that he lands at a point which is due east of his starting point.
The speed of the swimmer is [tex]$v_s$[/tex] = 3 mi/h
Therefore he has to swim in such a direction that his resultant is in the direction east to his starting point.
Let this angle be θ.
Therefore, from the figure,
[tex]$\sin \theta = \frac{v_r}{v_s}$[/tex]
[tex]$\sin \theta = \frac{1.4}{3}$[/tex]
[tex]$\theta = \sin^{-1}(0.46)$[/tex]
[tex]$=27.4^\circ[/tex]
Therefore, the swimmer has to swim in the northeast direction making an angle of (90+27.4) = 117.4° with the direction of flow of river (i.e. south).