Answer:
466.8490566
Step-by-step explanation:
use your calculator
6. 10 X 10 X 10
exponent form:
word form:
Answer:
the exponent is 10 ^ 3 and the word form is ten times ten times ten
Step-by-step explanation:
if you need more help just ask
history on our 50% of 32 less than a hundred greater than 100 but less than 150 or greater than 150
Answer:
I'm not sure I understand this. elaborate a bit more and I can help tho :)
A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle. If the total perimeter of the window is 20 feet, what is the maximum possible area of the window
Answer:
The answer is below
Step-by-step explanation:
Let x be the diameter of the semicircle. radius = x/2
The window is a combination of a rectangle and semicircle.
Width of window = diameter = x, let length of the window = y.
Perimeter of semicircle = πr = πx/2
Perimeter of window = x + y + y + πx/2
20 = x + 2y + πx/2
2y + x + πx/2 = 20
2y = 20 - x(1 - π/2)
y = 10 - x(1 - π/2)/2
Area of semicircle = (1/2)πr² = (1/2)π(x/2)²
Area of window = xy + (1/2)π(x/2)²
A = x(10 - x(1 - π/2)/2) + πx²/8
A = 10x - x² - πx²/4 + πx²/8
A = 10x - x² - πx²/8
The maximum area is at dA / dx = 0
dA / dx = 10 - 2x - 2πx/8
0 = 10 - 2x - πx / 4
2x + πx / 4 = 10
2.785x = 10
x = 3.59 feet
Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8
Maximum area = 17.95 feet²
help me please thanks
Help please! This is timed!
Answer: 14
Step-by-step explanation:
think of it like a right triangle
a²+b²=c²
13²+5²=194
ladder length= √194= 13.92≈14
Which equations passes through point (5, 1) with an x-intercept of 4?
O y=x-4
O y = 5x + 1
Oy - 4x + 1
O y = x + 5
1. Solve using polynomial long division x? - 4x² + 2x + 5 Divide: X-2
The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min, at what rate is the volume changing at the instant when r
Answer:
The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.
Step-by-step explanation:
The statement is incomplete: The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min. ¿At what rate is the volume changing at the instant when r = 1 cm and h = 7 cm?
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is expressed by the following formula:
[tex]V = \frac{\pi}{4}\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
The rate of change of the volume ([tex]\frac{dV}{dt}[/tex]), measured in cubic centimeters is obtained by deriving (1) in time:
[tex]\frac{dV}{dt} = \frac{\pi}{2} \cdot r\cdot h\cdot \frac{dr}{dt} + \frac{\pi}{4}\cdot r^{2}\cdot \frac{dh}{dt}[/tex] (2)
Where:
[tex]\frac{dr}{dt}[/tex] - Rate of change of the radius, measured in centimeters per minute.
[tex]\frac{dh}{dt}[/tex] - Rate of change of the height, measured in centimeters per minute.
If we know that [tex]r = 1\,cm[/tex], [tex]h = 7\,cm[/tex], [tex]\frac{dr}{dt} = 2\,\frac{cm}{min}[/tex] and [tex]\frac{dh}{dt} = -7\,\frac{cm}{min}[/tex], then the rate of change of the volume is:
[tex]\frac{dV}{dt} = \frac{\pi}{2}\cdot (1\,cm)\cdot (7\,cm)\cdot \left(2\,\frac{cm}{min} \right) + \frac{\pi}{4}\cdot (1\,cm)^{2}\cdot \left(-7\,\frac{cm}{min} \right)[/tex]
[tex]\frac{dV}{dt} \approx 16.493\,\frac{cm^{3}}{min}[/tex]
The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.
Find the unknown angle measure by solving for the given variable.
Answer:
10 1/2
Step-by-step explanation:
PERIMETER OF A RECTANGLE
1.5m height
2.0m width
Answer:
7.0m
Step-by-step explanation:
=2h ×2w
=2(1.5m)+2(2.0m)
=7.0m
Please I really need help!
Answer:
26 if we not adding then -12
Step-by-step explanation:
Solve log x = 2 by changing it to exponential form.
a. X = -20
C. X=20
B x=10^2
D x=2^10
Answer:
Option B
Step-by-step explanation:
log x=2
x = 10^2
Therefore, the exponential form is the one in option B
Answer:
B
Step-by-step explanation:
Convert to Exponential Form log of x=-2. log(x)=−2 log ( x ) = - 2. For logarithmic equations, logb(x)=y log b ( x ) = y is equivalent to by=x b y = x such that x>0 x
Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 8x + y = 6
Answer:
[tex]\approx 13^\circ[/tex]
Step-by-step explanation:
Given two lines with the equations:
[tex]9x - y = 4\\ 8x + y = 6[/tex]
First of all, let us learn the formula for finding the angle between the two lines with given equations:
[tex]tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]
[tex]m_1, m_2[/tex] are the slopes of the two lines respectively.
Let us convert the given equation to point intercept form.
Point intercept form of a line is given as:
[tex]y = mx+c[/tex]
[tex]y = 9x-4\\y =-8x+6[/tex]
Comparing with slope intercept form, we get:
[tex]m_1 = 9\\m_2 = -8[/tex]
Using the above formula:
[tex]tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\[/tex]
Therefore, the acute angle between the two lines is [tex]\approx 13^\circ[/tex]
The acute angles between the equations is 13.46 degree.
To find the acute angles between the two equation, let's write out the individual slope of each equation.
Given Data
9x - y = 48x + y = 6Equation of lineThe given equations can be rearranged into equation of line.
[tex]9x-y=4\\ y=9x-4\\ slope=m_1=9[/tex]
The second equation can also be rearranged as and solving for the slope
[tex]8x+y=6\\ y=6-8x\\ y=-8x+6\\ slope = m_2 = -8[/tex]
Since we have the slopes of the two equation, we can now find the acute angle between them.
θ = [tex]tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\ [/tex]
substituting the values and solving for the angle
[tex]x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\ x = tan^-^1[17/-71]\\ x=-13.46 = 13.46^0[/tex]
The acute angle between the equations is 13.46 degree
Learn more about acute angle in equations here;
https://brainly.com/question/6979153
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 150 engines and the mean pressure was 6.3 pounds/square inch (psi). Assume the population variance is 0.49. If the valve was designed to produce a mean pressure of 6.2 psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
Answer:
We are given that The valve was tested on 150 engines and the mean pressure was 7.7 lbs/square inch.
We are also given that the valve was designed to produce a mean pressure of 7.6 lbs/square inch
So,
Null hypothesis:
Alternate hypothesis :
Since n > 30 and population standard deviation is given
So, We will use z test
Formula :
Substitute the values
refer the z table for p value
so, p value is 0.9927
Since it is a two tailed test So, p = 2(1- 0.9927) = 0.0146
α = 0.1
p value< α
So, we reject null hypothesis
Hence There is sufficient evidence at the 0.1 level that the valve does not perform to the specifications
Step-by-step explanation:
No, there is insufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Step-by-step explanation:
We are given that an engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 7.5 pounds/square inch (psi). Assume the population variance is 0.36 and the valve was designed to produce a mean pressure of 7.4 psi.
We have to test if there sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Let, NULL HYPOTHESIS, H_0H
0
: \muμ = 7.4 psi {means that the valve perform to the specifications}
ALTERNATE HYPOTHESIS, H_1H
1
: \mu\neqμ
= 7.4 psi {means that the valve does not perform to the specifications}
The test statistics that will be used here is One-sample z-test;
T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }
n
σ
X
ˉ
−μ
~ N(0,1)
where, \bar X
X
ˉ
= sample mean pressure = 7.5 psi
\sigmaσ = population standard deviation = \sqrt{Variance}
Variance
= \sqrt{0.36}
0.36
= 0.6
n = sample of engines = 170
So, test statistics = \frac{7.5-7.4}{\frac{0.6}{\sqrt{170} } }
170
0.6
7.5−7.4
= 2.173
Now, at 0.02 significance level z table gives critical value of 2.3263. Since our test statistics is less than the critical value of z so we have insufficient evidence to reject null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the valve perform to the specifications and there is not sufficient evidence at the 0.02 level that the valve does not perform to the specifications.
Evaluate the expression, showing work please
5((8+2)+3(6-3))
Answer:
The answer is 59
Step-by-step explanation:
5(8+2)+3(6-3)
5*8=40
5*2=10
3*6=18
3*-3=-9
(40+10)+(18-9)
50+9=59
can somebody help me with these, i will mark you brainliest :)
Answer:
1). sin 30°=5/x
1/2=5/x
x=10
2)sin 30°=y/18
1/2=y/18
y=9°
cos 30°=x/18
√3/2=x/18
x=9√3
3) option D is correct
because cosine ratio is base / hypotenuse.
4) option c is correct.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 11 meters?
Answer:
3937.01 Inch are in 100 meter
HELLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the distance between (3, 5.25) and (3, –8.75)?
6 units
8.25 units
11.75 units
14 units
Answer:
14
Step-by-step explanation:
Answer:
D 14
Step-by-step explanation:
I kinda need I’ll give you 100 points
Answer:
the second one makes more sense
Answer:
This question answer is defenetily answer B ( there is a slight association between hieght and weight)
Step-by-step explanation:
Because of how the number line is set up I do believe your answer will be B Just remember the way the number line is set up when you put the number line there and how the dots of where the number line goes plays a huge part in finding your answers. :)
Hope this helps!!!!!!!!! :)
I GIVEEEEEEEEEEEEEE BRAINLILSTTT
Answer:
(x,y) → (x -3, y-8)
Step-by-step explanation:
jsienzis
The total area of the polygon is 176 square feet. Find the value of x.
Answer:
x = 6 ft
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(x)(8)[/tex]
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x = [tex]\frac{48}{8}[/tex]
x = 6 ft
Answer:
The answer is six to one of the sides
Step-by-step explanation:
Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3
Area of triangle 1 = Area of triangle 3 =
=
= 4x square feet
Area of rectangle 2 = Length × Width
= 16 × 8
= 128 square feet
Total area of the given polygon = 4x + 128 + 4x
176 = 8x + 128
8x = 176 - 128
x =
x = 6 ft
Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 16% of all ticks in a certain location carry Lyme disease, 10% carry HGE, and 10% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease
Answer:
0.2364
Step-by-step explanation:
We will take
Lyme = L
HGE = H
P(L) = 16% = 0.16
P(H) = 10% = 0.10
P(L ∩ H) = 0.10 x p(L U H)
Using the addition theorem
P(L U H) = p(L) + P(H) - P(L ∩ H)
P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)
P(L U H) = 0.26 - 0.10p(L u H)
We collect like terms
P(L U H) + 0.10P(L U H) = 0.26
This can be rewritten as:
P(L U H)[1 +0.1] = 0.26
Then we have,
1.1p(L U H) = 0.26
We divide through by 1.1
P(L U H) = 0.26/1.1
= 0.2364
Therefore
P(L ∩ H) = 0.10 x 0.2364
The probability of tick also carrying lyme disease
P(L|H) = p(L ∩ H)/P(H)
= 0.1x0.2364/0.1
= 0.2364
In the diagram below of triangle KLM, N is a midpoint of K L and P is a midpoint
of LM. If NP + 3, and KM = 36 - 4x, what is the measure of NP?
What fraction below is NOT equivalent to 1/5? *
5/25
2/10
3/8
4/20
3/4 _______ 9/12 *
=
In the problem, 156 divided by 12 = 13, what number is the "divisor?" *
156
12
13
The fractions 4/7 and 12/21 are equivalent fractions. *
True
False
What is the "difference" between 73.51 and 6.392? *
What is the "product" of 30 and 6? *
36
24
180
5
What is 4 2/5 written as an improper fraction? *
18/5
11/5
22/5
42/5
1/9 _______ 1/12 *
=
What fraction below is NOT a proper fraction. *
7/4
4/7
6/11
8/9
The fractions 2/16, 3/24, and 4/32 are ALL equivalent to what fraction? *
1/3
1/4
1/6
1/8
Giving Brainliest, It'll mean much if you'll try to help me with this! And correct me if i'm wrong but, Brainliest is VERY usefull! And yeah good luck! :D
Which pair of sides in this shape are parallel? R S P T RS and ST RS and PT QR and QP QR and ST
Answer:
RS and PT
Step-by-step explanation:
Judging by looks, RS and PT are going the exact same direction, and look like they don't touch. Also, if RSTP is a square, then those two are definitely parallel.
if ⅚ of a certain number is -6⅔. what is the number?
The answer would be -3 4/3
Step-by-step explanation:
ok ok ok ok I'm very sorry if i get it wrong at least I tried on this app most of the people don't even do the homework they do it to cheat.
Answer:
Dan and Paul share some money in the ratio 13:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have
Please help me with this I really need it my grades are trash. Look at the file attached. just tell me which ones are equivalent thanks!
Answer:
Top left, top right, bottom right
Step-by-step explanation:
Combine all of them together. I'll use the top left and middle left as my example. We will need to end up with 2 positive x's, 5 negative y's and the number 3.
x + x - y + 1 + 1 + 1 - y - y - y -y
We can see here there are 2 positive x's, 5 negative y's, and the number 3.
If we were to write that into an equation it would be 2x - 5y +3
With the middle left we have
-5y - x -x + 2 + 1
Here we have 2 negative x's, 5 negative y's, and the number 3.
If this were simplified it would be -2x - 5y + 3. We don't want the 2x to be negative therefore it is incorrect.
please help me i am stuck trying to figure this out
I believe the answer is C
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
Learn more about rate of change:
https://brainly.com/question/8728504
Which tables shows a proportional relationship between X and Y.
Answer:
the secound option :)