Step-by-step explanation:
As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].
So we'll remain with: 5 * 2 * 3 = 30.
:)
Answer:
30
Step-by-step explanation:
First multiply 2 square root with 2 square root and since they are identical the answer will be 2.
Now multiply 3 and 5:
3×5= 15
Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30
I couldn't explain well but I hope you understand
What are the equations for the asymptotes of this hyperbola?
Y^2/36 - x^2/121=1
Answer:
[tex]\huge{\mathfrak{Solution}}[/tex]
[tex]\huge{\bold{ \frac{ {y}^{2} }{36} - \frac{ {x}^{2} }{121} = 1 }}[/tex]
[tex]\huge{\bold{ \frac{(y - k) {}^{2} }{ {a}^{2} } - \frac{(x - h) {}^{2} }{ {b}^{2} } = 1 \: is \: the \: standard \: equation \: with \: center \: (h ,k),semi-axis \: a \: and \: semi-conjugate \: -axis \: b.}}[/tex]
[tex]\huge\boxed{\mathfrak{We \: get,}}[/tex]
[tex](h,k) = (0,0),a = 6,b = 11[/tex]
[tex]For \: hyperbola \: assymtoms \: are \: y = + \frac{a}{b} (x - h) + k[/tex]
[tex]Therefore,y = \frac{6}{11} (x - 0) + 0,y = - \frac{6}{11} (x - 0) + 0[/tex]
[tex]\large\boxed{\bold{y = \frac{6x}{11},y = - \frac{6x}{11} . }}[/tex]
If y²/36 - x²/121 = 1, the asymptotes are y = (36/121) x and y = -(36/121) x.
To find the equations for the asymptotes of the hyperbola represented by the equation y²/36 - x²/121 = 1, we can compare it with the standard form of a hyperbola:
(y - k)² / a² - (x - h)² / b² = 1
where (h, k) represents the center of the hyperbola.
In the given equation, we have y²/36 - x²/121 = 1. To put it in standard form, we need to divide both sides by 1 (which is essentially dividing by 1 on the right side):
y²/36 - x²/121 = 1 / 1
Now, we can see that a² = 36 and b² = 121.
To find the equations of the asymptotes, we use the center (h, k) and the values of a and b. The asymptotes of a hyperbola have equations of the form:
y = k ± (a/b)(x - h)
In this case, the center (h, k) is (0, 0), a² = 36, and b² = 121:
The equations for the asymptotes are:
y = 0 ± (36/121) x
To learn more about asymptotes click on,
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If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree
Answer:
almost 9
Step-by-step explanation:
please Help NEED NOW
thank you so much
SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.
Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.
Answer:
8.9443
Step-by-step explanation:
d = √((x2-x1)2 + (y2-y1)2)
Step by step procedure:
Find the difference between coordinates:
(x2-x1) = (-9 - -1) = -8
(y2-y1) = (2 - -2) = 4
Square the results and sum them up:
(-8)2 + (4)2 = 64 + 16 = 80
Now Find the square root and that's your result:
Exact solution: √80 = 4√5
Approximate solution: 8.9443
If 12 candy canes cost $318, what will be the cost of 4 candy canes?
Answer:
4 candy canes = $ 106
Step-by-step explanation:
Using unitary method to solve this question.
Given that:
12 candy canes = $ 318
Divide both sides by 12
1 candy cane = $318/12
1 candy cane = $26.5
Now, Multiply both sides by 4
4 candy canes = $ 26.5 * 4
4 candy canes = $ 106
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Point slope form question
How would I turn (2,-5) (-3, 10) into a point slope equation?
Answer:
y+5=-3(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-(-5))/(-3-2)
m=(10+5)/-5
m=15/-5
m=-3
y-y1=m(x-x1)
y-(-5)=-3(x-2)
y+5=-3(x-2)
Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.
Which angle is congruent to angle DBA?
A. BCD
B. CBD
C. DBC
D. BDC
Taking point Z as the origin, the coordinates of the points on ΔBAD are
given by changing the sign of the coordinates of points in ΔDCB.
The angle that is congruent to ∠DBA is; D. ∠BDCReasons:
The given parameters are;
Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.
Required:
The angle congruent to ∠DBA.
Solution:
Given that the rotation of triangle DCB is 180°, we have that the
coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.
Therefore, side DC is parallel to side AB
Which gives;
∠DBA is congruent to ∠BDC by alternate interior angles theorem.
∠DBA ≅ ∠BDC
The angle that is congruent to ∠DBA is; option D. ∠BDC
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The price of 40L petrol is £24, find the price of each litre.
Answer:
I will help you with this
8(4p + 3) please and thanks
Answer:
32p + 24
Step-by-step explanation:
Distribute the 8 to each term
8 * 4p = 32p
8 * 3 = 24
Estimate and solve 2,352 ÷ 4 =
Answer
588 is the exact answer. Which is about 590 or 600.
Step-by-step explanation:
pi(r^2)(12)=324 , how do you find the radius of this equation?
Answer:
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
Step-by-step explanation:
[tex]\pi r^{2} (12)=324[/tex]
[tex]\pi r^{2} =27[/tex]
[tex]r^{2} =\frac{27}{\pi }[/tex]
[tex]r=\sqrt{\frac{27}{\pi } }[/tex]
A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.
Answer:
thanks
Step-by-step explanation:
Answer:1- $52 {40+12(1)=}
5- $100 {40+12(5)=}
10 - $160 {40+12(10)=}
50 - $640 {40+12(50)=}
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision
Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?
Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5
Answer:
i think x=1 y=3 (1,3)
Step-by-step explanation:
2x+4x-1 = 5
x = 1
y = 4x-1
y = 4(1)-1
y = 4-1
y = 3
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
Number: (10,7) and (1,2)
Drags And Drops:5/9, -7/8, 2/7, 6/7, 5/7
Answer:
5/9.
Step-by-step explanation:
The slope is the difference in y-values divided by corresponding difference in x-values.
So here:
Slope = (7-2)/(10-1)
= 5/9.
Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?
Step-by-step explanation:
line CD, WE and BD are half of the length of CD
What is the value of e?
Please help me:( The volume of the above solid is
O A. 208.87 cm3
O B. 216T1 cm2
O C. 1807 cm3
O D. 2161 cm3
Answer:
the volume of cylinder = πr²h
h = 5cm
r = 6cm
volume = π × 6² × 5
= π × 6 × 6 × 5
= 180πcm³
Someone please help meh
Answer:
1100
Step-by-step explanation:
Answer:
A = 55.15
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos A = adj side / hypotenuse
cos A = 4/7
Taking the inverse cos of each side
cos ^-1 ( cos A) = cos ^-1( 4/7)
A =55.15009542
To the nearest hundredth
A = 55.15
how old are you android phone is not
Answer:
I am 14 years old
Step-by-step explanation:
A survey of 2,541 American households discovered that 64% of the households own one car.
what is the population?
what is the sample?
Answer:
See below
Step-by-step explanation:
The population is all American households
The sample is 2,541 of those American households
Plz help with this question.
Answer:
[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]
Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.
[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]
hope it helps youAnswer:
look below :)
Step-by-step explanation:
Ok so the formula for the area of a triangle is (l x w) / 2
and the formula for the area of a square is l x w.
The area of the square is 2 x 2 = 4.
so the area of the square = 4cm²
the area of the triangle is 2 x 4 = 8.
8 / 2 = 4
so the area of the triangle is also 4cm².
Hope this helped!
Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.
The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include
Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.The operations performed on the triangle are the following
A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.
So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Learn more about transformations here:
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original price: $24.50
discount:30%
tax:2%
Answer -
Discount -
24.50 x 30/100
24.5 x 0.3 = 7.35 saved
24.5 - 7.35 = 17.15
Discount you saved $7.35 , which brings you price 17.15
tax -
17.15 + 0.34 = 17.49
With taxes you pay 17.49
HOPE THIS HELPS :)
Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?
Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab
Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?
Answer:
-8
Step-by-step explanation:
-2*(x+5)=6
Divide both sides by -2
x+5=-3
x=-3-5
x=-8
LOKK AT THE PICTURE PLEASE
Answer:
A. 9
Step-by-step explanation:
Multiply 3x with x+2
3x(x+2)
Which is 3x^2+6x
Now substitute x with 1
1^2 is 1
3 times 1 is 3
6 times 1 is 6
3+6 is 9
Thus A.
Hope this helps!
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.
if 6 24 36 are in proportion,find the second proportional.
9
Step-by-step explanation:
let 2nd proportion be x
6:x=24:36
6÷x=24÷36
x=6×36÷24
x=9
During an 8 hour work-day, Bob spends 2
hours on the phone. What fraction of the day
does he spend on the phone?
A. 1/5
B. 1/3
C. 1/4
D. 1/8
The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].
Write a fraction from the given information;
2/8, then simplify, by diving both the numerator and denominator by 2.
Therefore,
C) 1/4