A private jet can fly 1134.6 miles against a 27-mph headwind in the same amount of time it can fly 1469.4 miles with a 27-mph tailwind. Find the speed of the jet.
The speed of the jet is 1302 miles per hour.
Speed determinationSince a private jet can fly 1134.6 miles against a 27-mph headwind in the same amount of time it can fly 1469.4 miles with a 27-mph tailwind, to find the speed of the jet you must perform the following calculation:
(1469.4 - 1134.6) / 2 = X334.8 / 2 = X167.4 = X1469.4 - 167.4 = X1302 = XTherefore, the speed of the jet is 1302 miles per hour.
Learn more about speed determination in https://brainly.com/question/15191306
Which is the point-slope form of a line that has a slope of -4 and passes through point (-3,1)?
Hi!
The point-slope formula looks like this:
y-y1=m(x-x1)
in this case
y1=1
m=-4
x1=-3
plug in the values
[tex]\boxed{\boxed{\bold{y-1=-4(x-(-3)}}}[/tex]
Note:
For Point-Slope Form, we use a point that the line passes through and the slope of the line.
Actually, that's why it's called "Point-Slope Form" right? =)
Hope everything is clear.
Let me know if you have any other questions; if so, please feel free to use the comment section.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
A computer company claims its laptop batteries averages more than 3.5 hours ofnuse per charge. A sample of 45 batteries last average of 3.72 hours. Assumes the sample and standard deviation of 0.7 hours. What are rhe correct steps to follow to figure out if you can verify the company's alpha of 0.05?
Answer:
First step : State the null and the alternative hypothesis
The null hypothesis is [tex]H_o : \mu = 3.5 \ hours[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3.5 \ hours[/tex]
Second Step : Calculate the test statistics
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]
=> [tex]z = 2.11[/tex]
Third Step : Obtain the p-value
Generally from the z-table the probability of z = 2.11 is
[tex] P(Z > 2.11) = 0.0174[/tex]
Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion
From the obtained value the [tex]p-value < \alpha[/tex] hence
The decision rule is
The null hypothesis is rejected
The conclusion is
There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3.5 \ hours[/tex]
The sample size is n = 45
The standard deviation is [tex]\sigma = 0.7 \ hours[/tex]
The sample mean is [tex]\= x = 3.75[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
First step : State the null and the alternative hypothesis
The null hypothesis is [tex]H_o : \mu = 3.5 \ hours[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3.5 \ hours[/tex]
Second Step : Calculate the test statistics
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]
=> [tex]z = 2.11[/tex]
Third Step : Obtain the p-value
Generally from the z-table the probability of z = 2.11 is
[tex] P(Z > 2.11) = 0.0174[/tex]
Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion
From the obtained value the [tex]p-value < \alpha[/tex] hence
The decision rule is
The null hypothesis is rejected
The conclusion is
There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge
2/3 x 7 2/6 =4 8/9
But how is it done?
Note: i want explanation
Do not spam ty
[tex]Hello[/tex] [tex]There![/tex]
Let's do this step-by-step explanation!
[tex]\frac{2}{3}[/tex] × [tex]7 \frac{2}{6}[/tex]
Convert mixed numbers to improper fractions: [tex]7 \frac{2}{6} =\frac{44}{6}[/tex]
[tex]=\frac{2}{3}[/tex] × [tex]\frac{44}{6}[/tex]
Cancel: [tex]\frac{44}{6} :\frac{22}{3}[/tex]
[tex]=\frac{2}{3}[/tex] × [tex]\frac{22}{3}[/tex]
Apply the fraction rule:
[tex]2[/tex] × [tex]22[/tex]
[tex]3[/tex] × [tex]3[/tex]
Mutiply the numbers: [tex]2[/tex] × [tex]22[/tex] [tex]=44[/tex]
[tex]44[/tex]
-----
[tex]3[/tex] × [tex]3[/tex]
Mutiply the numbers: [tex]3[/tex] × [tex]3=9[/tex]
[tex]=\frac{44}{9}[/tex]
Convert the fractions into mixed numbers: [tex]=\frac{44}{9} = 4\frac{8}{9}[/tex]
[tex]=4\frac{8}{9}[/tex]
Answer:
[tex]4\frac{8}{9}[/tex]
Hopefully, this helps you!!
[tex]SokkaBanned[/tex]
what is the square root of 2?
Answer:
the square root of 2 is approximately 1.41
Step-by-step explanation:
Hope that helps!
Answer:
The answer is 1.41421356237...
Step-by-step explanation:
the square root of 2=2^1/2
2=2^1/2
2^12=1.41421356237...
The square root of 2=1.41421356237...
1.41421356237...
What is the vertex form of the quadratic equation represented on the table?
Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}[/tex]
what is the value of y that satisfies the equation below y/2=9
Answer:
y/2 = 9
In order to find the value of y, we must first isolate y by performing inverse operations.
Right now, y is being divided by 2, so the inverse operation of division is multiplication.
So we multiply by 2 on both sides:
y/2 = 9
*2 *2
2/2y = 18
y = 18
Two cyclists start from the same point at the same time and move in opposite directions. One cyclist is traveling at 7 mph, and the other cyclist is traveling at 9 mph. After 15 min, how far apart are the two cyclists?
Answer:
d = 4 miles
Step-by-step explanation:
combined speed = 7 + 9 = 16 mph
s = d/t
d = st
d = 16 miles/hr × 0.25 hr
d = 4 miles
Please mark me as brainliest
paaaa hellllpppp po with solution po sana
To solve linear equations, we must perform inverse operations on both sides of the equal sign to cancel values out.
If something is being added to x, subtract it from both sides.If something is being subtracted from x, add it on both sides.Same with multiplication and division. If x is being divided, multiply. If x is being multiplied, divide.We perform inverse operations to combine like terms. This means to get x to one side and everything else on the other.
Solving the QuestionsQuestion 1[tex]5x+7=15[/tex]
Because 7 is being added to x, subtract it from both sides:
[tex]5x+7-7=15-7\\5x=8[/tex]
Because x is being multiplied by 5, divide both sides by 5:
[tex]\dfrac{5x}{5}=\dfrac{8}{5}\\\\x=\dfrac{8}{5}[/tex]
Therefore. [tex]x=\dfrac{8}{5}[/tex].
Question 2[tex]7x+4=5x-18[/tex]
Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:
[tex]7x+4-5x=5x-18-5x\\2x+4=-18[/tex]
To isolate x, subtract 4 from both sides:
[tex]2x+4-4=-18-4\\2x=-22[/tex]
Divide both sides by 2:
[tex]\dfrac{2x}{2}=\dfrac{-22}{2}\\\\x=-11[/tex]
Therefore, [tex]x=-11[/tex].
Figures that have the same size and same shape. Their corresponding angles and sides are the same size.
Answer:
are congruent
Step-by-step explanation:
Solve the system of equations.
y=x+6
y=x^2 + 8x + 16
Answer:
Step-by-step explanation:
point form: (-2,4) (-5,1)
equation form: x= -2, y=4
x= -5, y=1
[tex]\huge \underline\frak \red{Answer}[/tex]
[tex]\small\mathbb\green{(-2;4) \: or \: (-5;1)}[/tex]
[tex]\small\mathbb\green{y=x+6}[/tex]
[tex]\small\mathbb\green{y=x²+8x+16}[/tex]
_____________________________________
[tex]\small\mathbb\green{x+6=x²+8x+16}[/tex]
[tex]\small\mathbb\green{x²+8x+16-x-6=0}[/tex]
[tex]\small\mathbb\green{x²+7x+10=0}[/tex]
[tex]\small\mathbb\green{x²+5x+2x+10=0}[/tex]
[tex]\small\mathbb\green{x(x+5)+2(x+5)=0}[/tex]
[tex]\mathbb\green{(x+2) (x+5) = 0}[/tex]
[tex]\small\mathbb\green{x+2=0 \: ➢ \: x¹ = -2}[/tex]
[tex]\small\mathbb\green{x+5=0 \: ➢ \: x² = -5}[/tex]
_______________________________________
[tex]\small\mathbb\green{y¹ = -2+6 \: ➢ \: y¹ = 4}[/tex]
[tex]\small\mathbb\green{y² = -5+6 \: ➢ \: y² = 1}[/tex]
_______________________________________
[tex]\small\frak\pink{Hope \: its \: helpful \: to \: you}[/tex]
Each of these Quadratics are written in standard form choose all of the parabolas the would open upwards?
Step-by-step explanation:
When written in standard form, yout can just look at the first term
If the first term is positive it opens upwards
if the first term is negative, it opens downwards
What is the rule of square numbers?
the legs of a right triangle measure 5√2 cm and 4√2 cm. find the area
Answer:
ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu
Step-by-step explanation:
The prices for various numbers of pounds of apples at several stores are shown in the table below. How much would 7 lbs of apples cost at PARSON'S MARKET?
5 points
Answer:
$13.23
Step-by-step explanation:
first, you divide 6 by $11.34 then you multiply 7 by $1.89 to get 13.23.
find the surface area of the prism. 6 cm, 9 cm, 3cm
Answer: 198cm
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Find the value for x in this equation: X +12 =-41
Answer:
no solution
Step-by-step explanation:
1
Since 12=-4112=−41 is false, there is no solution.
Find the volume of the cone. Round your answer to the nearest tenth. A cone is shown. Its height is 9 yards and the diameter of its base is 7 yards.
Answer: 346.2yd³
Step-by-step explanation:
Volume = Area of Base x Height
Volume = πr² x 9
Volume = π(3.5)² x 9
Volume = 38.465 x 9
Volume = 346.184 ≅ 346.2yd³
A team of 13 basketball players needs to
choose two players to refill the water
cooler.
O Permutation; 39
O Combination; 60
O Combination; 78
O Permutation; 156
The selection of the basketball players is an illustration of combination
The number of ways the basketball players can be chosen is 78
How to determine the number of selectionThe given parameters are:
Number of players (n) =13
Players to select (r) = 2
The number of ways the players can be selected is calculated as:
[tex]^nC_r = \frac{n!}{(n -r)!r!}[/tex]
The equation becomes
[tex]^{13}C_2 = \frac{13!}{(13 -2)!2!}[/tex]
Evaluate the difference
[tex]^{13}C_2 = \frac{13!}{11!2!}[/tex]
Evaluate the factorials
[tex]^{13}C_2 = \frac{13 * 12 * 11!}{11! * 2}[/tex]
Evaluate the quotient
[tex]^{13}C_2 = 13 * 6[/tex]
Evaluate the product
[tex]^{13}C_2 = 78[/tex]
Hence, the number of ways the basketball players can be chosen is 78
Read more about permutation and combination at:
https://brainly.com/question/12468032
1. Which of the following triangles is classified as a right triangle?
a triangle with side lengths of 5, 12, 16
a triangle with side lengths of 10, 11, 14
a triangle with side lengths of 3, 4, 6
a triangle with side lengths of 12, 16, 20
Answer:
a triangle witih side lengths of 12,16,20
Find the area of the parallelogram
A.) 3,302 ft2
B.) 3,484 ft2
C.) 3,752 ft2
D.) 4,020 ft2
I NEED this answer in 5 MINUTES!
Answer:
3484 ft²
explanation:
area of parallelogram is base * height
given:
base: 67 ftheight: 52 ftusing the formula:
base * height
67 * 52
3484 ft²
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
3x + 3y + 2(2x − y)
11x + y
11x − y
4(x + y) − 3(x + y)
7x + y
x − 4x + 6y + (14x − 5y)
(5x − 3y) − x + 3x − 5y
5(x + y) + 6(x − y)
7x − 8y
Answer:
x − 4x + 6y + (14x − 5y) ⇔ 11x+y
(5x − 3y) − x + 3x − 5y ⇔ 7x-8y
5(x + y) + 6(x − y) ⇔ 11x-y
3x + 3y + 2(2x − y) ⇔ 7x+y
Step-by-step explanation:
Solve the following;
3x + 3y + 2(2x − y)
4(x + y) − 3(x + y)
x − 4x + 6y + (14x − 5y)
(5x − 3y) − x + 3x − 5y
5(x + y) + 6(x − y)
Solve:
3x + 3y + 2(2x − y)
[tex]=3x+3y+4x-2y[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3x+4x+3y-2y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:3x+4x=7x[/tex]
[tex]=7x+3y-2y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:3y-2y=y[/tex]
[tex]=7x+y[/tex]
Hence, this tiles will be used.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
4(x + y) − 3(x + y)
[tex]\mathrm{Add\:similar\:elements:}\:4\left(x+y\right)-3\left(x+y\right)=\left(x+y\right)[/tex]
[tex]=x+y[/tex]
Thus, this tiles will not be used.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
x − 4x + 6y + (14x − 5y)
[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]
[tex]6y+\left(14x-5y\right)=6y+14x-5y[/tex]
[tex]=x-4x+6y+14x-5y[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=x-4x+14x+6y-5y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:x-4x+14x=11x[/tex]
[tex]=11x+6y-5y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:6y-5y=y[/tex]
[tex]=11x+y[/tex]
Thus, this tiles will be used
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(5x − 3y) − x + 3x − 5y
[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]
[tex]\left(5x-3y\right)=5x-3y[/tex]
[tex]=5x-3y-x+3x-5y[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=5x-x+3x-3y-5y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:5x-x+3x=7x[/tex]
[tex]=7x-3y-5y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-3y-5y=-8y[/tex]
[tex]=7x-8y[/tex]
Hence, this tiles will be used
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x + y) + 6(x − y)
[tex]=5x+5y+6\left(x-y\right)[/tex]
[tex]=5x+5y+6x-6y[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=5x+6x+5y-6y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:5x+6x=11x[/tex]
[tex]=11x+5y-6y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:5y-6y=-y[/tex]
[tex]=11x-y[/tex]
Hence, this tiles will be used
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Learn with lenvy~
pls help!!
i’m having trouble understanding trigonometry
Answer:
○ C. [tex]\displaystyle 10\:in.[/tex]
Explanation:
In an equilateral triangle, all angles and edges are congruent, so with that, you have your answer.
I am joyous to assist you at any time.
What is the rate of change for the linear relationship modeled in the table?
х Y
-1 10
1 9
3 8
5 7
A) -1/2
B) 0
C) 1/2
D) 2
Garden canes have lengths that are normally distributed with mean 208.5cm and standard deviation 2.5cm. what is the probability of the lenght of a randomly selected cane being between 205cm and 210cm
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
Data;
Mean = 208.5cmstandard deviation = 2.5cmNormal DistributionTo solve this problem, we can simply use the formula of probability and substitute the value.
[tex]p\frac{(205-108.5)}{2..5} < \frac{x - 208.5}{2.5} < \frac{210 - 205.5}{2.5}\\p(-1.4 < z < 1.8)[/tex]
Rearranging the equation and solving for the z-values;
[tex]p(z < 1.8-p < z < -1.4)[/tex]
This becomes
[tex]p = 0.9641 - 0.0876 = 0.8765[/tex]
The probability of randomly selecting a can between 205cm to 210cm is 0.8765
Learn more on normal distribution here;
https://brainly.com/question/4079902
The base of a triangle is 6 cm greater than the height the area is 56 cm² what is the height and length of a triangle
Answer:
The base is 14 and the height is 8
Step-by-step explanation:
8 times 14 is 112. 112 divided by 2 is 56.
find the measure of the angle
Answer:
answer is 90° - 80° = 10° because each quartile equals 90°
What is the answer to this problem?
Answer:
try 28.8
Step-by-step explanation:
The expression, 2/3, can mean which of the following?
A. 2 parts of size 3 each
B. 3 parts of size 2 each
C. 3 parts of size each
D.2 parts of size each
(PLEASE I NEED HELP)
Answer:
i am pretty sure its B..............
which angle is coterminal with 150°? NO LINKS!!
a. 330°
b. -150°
c. 510°
d. 500°
Now
Coterminal angle:-
2π+5π/612π+5π/617π/6510°Option C is correct