Answer:
Add 2 to each side
x=1/2
Step-by-step explanation:
(3√8x - 2 )= 4
Add 2 to each side
(3√8x - 2 +2= 4+2
3√8x = 6
Divide each side by 3
3/3√8x = 6/3
√8x = 2
Square each side
(√8x)^2 = 2^2
8x = 4
Divide each side by8
8x/8 = 4/8
x = 1/2
Answer:
Cube is the correct answer
Step-by-step explanation:
Find the median of each set of data 30,16,49,25
Answer:
27.5
Step-by-step explanation:
First, organize the number into order.
16, 25, 30, 49
Second, take the average of the two middle numbers.
25 + 30 = 55 / 2
27.5
Property of Circles: Segment Relationships in Circles
Answer:
x = 5
Step-by-step explanation:
Two secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the external part and the entire secant of the other, that is
(x - 2)(x - 2 + x + 4) = 4(4 + 5)
(x - 2)(2x + 2) = 4(9) = 36 ← distribute and simplify the left side
2x² + 2x - 4x - 4 = 36
2x² - 2x - 4 = 36 ( subtract 36 from both sides )
2x² - 2x - 40 = 0 ( divide through by 2 )
x² - x - 20 = 0 ← in standard form
(x - 5)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 4 = 0 ⇒ x = - 4
But x > 0 ⇒ x = 5
Answer: x=5
Step-by-step explanation:
Suppose y varies inversely with x. Write an equation if y=40 when x=16
Find the value of X.
Answer:
x = 3.75
Step-by-step explanation:
if the trapezoids are congruent, then 4 is to 10 as 1.5 is to x
4 * 2.5 = 10
1.5 * 2.5 = 3.75
A scientist calculated the mean and standard deviation of a data set to be Mu = 120 and Sigma = 9. She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?
Answer:
The missing data value is 147
Step-by-step explanation:
The mean is 120
The standard deviation is 9
Missing data value = ?
From the question, the missing data value is 3 standard deviation away from the mean.
3 standard deviation = 3 * 9 = 27
3 standard deviation from the mean = 120 + 27 = 147
The missing data value is what we get after adding 3 standard deviation from the mean.
Away here means ahead which is sum.
Answer:
b on edg
Step-by-step explanation:
solve each equation for 0≤x≤360
cos(x+45°)+cos(x-45°)= √2
Answer:
0°
360°
Step-by-step explanation:
We want to solve the equation,
[tex] \cos(x + 45) + \cos(x - 45) = \sqrt{2} [/tex]
We expand using trigonometric identities to get;
[tex]\cos(x) \cos( 45) - \sin(x) \sin(45) + \cos(x) \cos( 45) + \sin(x) \sin(45) = \sqrt{2} [/tex]
[tex] \frac{ \sqrt{2} }{2} \cos(x) - \frac{ \sqrt{2} }{2} \sin(x) + \frac{ \sqrt{2} }{2} \cos(x) + \frac{ \sqrt{2} }{2} \sin(x) = \sqrt{2} [/tex]
Simplify;
[tex] \cos(x) - \sin(x) + \cos(x) + \sin(x) = 2[/tex]
Simplify;
[tex]\cos(x) + \cos(x) = 2[/tex]
Add
[tex]2\cos(x) = 2[/tex]
Divide by 2
[tex]\cos(x) = 1[/tex]
Take cosine inverse;
In the
[tex]x = \cos^{ - 1} ( 1) =0\degree [/tex]
Also in the 3rd quadrant cosine ratio is positive.
[tex]x = 360-0= 360 \degree[/tex]
5(a+6)
I need the answer
Answer:
5a+30
i hope this helps! :)
Which set of measurements forms a right triangle? Use the Pythagorean theorem: a2 + b2 = c2.
A) 10, 12, 15
B) 10, 13, 15
C) 9, 12, 15
D) 9, 11, 15
Answer:
[tex]C) \: \: 9, 12, 15[/tex]
Step-by-step explanation:
[tex]9 {}^{2} + 12 {}^{2} = 15 {}^{2} \\ 81 + 144 = 225[/tex]
Can someone plz help with this plzzzzz
Answer:
We have a 30°-60°-90° triangle.
m = 20, n = 10
The correct answer is D.
Simplify the expression. (x1/2y1/3)(x1/4y1/6) A) x1/2y1/2 B) x1/8y1/18 C) x2y2 D) x3/4y1/2
Answer:
[tex](D)x^{3/4}y^{1/2}[/tex]
Step-by-step explanation:
We are required to simplify the expression: [tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})[/tex]
This is a product and the first thing we will do is to collect like terms:
[tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})=x^{1/2}x^{1/4}y^{1/3}y^{1/6}[/tex]
Next, we apply the addition law of indices: [tex]x^a X x^b =x^{a+b}[/tex]
[tex]x^{1/2}x^{1/4}y^{1/3}y^{1/6}=x^{1/2+1/4}y^{1/3+1/6}\\\\=x^{3/4}y^{1/2}[/tex]
Therefore, [tex](x^{1/2}y^{1/3})(x^{1/4}y^{1/6})=x^{3/4}y^{1/2}[/tex]
Suppose 1/4 of people surveyed support changing the school dress code to enforce uniforms. How many people would you have to select randomly, on average, in order to get 20 people who support the new dress code?
Answer:
I'd say around eighty people. Hope that helps.
Step-by-step explanation:
Andre is preparing for the school play and needs to paint the rectangular cardboard castle backdrop that measures LaTeX: 14\frac{1}{4}14 1 4feet by 6 feet. If one bottle of paint covers an area of 40 square feet, how many bottles of paint does Andre need for his backdrop? Enter your numerical answer with no label.
Group of answer choices
Answer:
2.1375 bottles of paint
Step-by-step explanation:
cardboard length = 14 1/4 ft, which is equivalent to (4*14 + 1)/4 = 57/4 ft
cardboard width = 6 ft
Rectangular cardboard area = length * width = 57/4 * 6 = (57*6)/4 = 342/4 ft², which can be simplified dividing numerator and denominator by 2: 171/2 ft²
If 1 bottle of paint covers an area of 40 square feet, then to paint 171/2 square feet the following proportion must be satisfied:
1 bottle of paint / 40 square feet = x bottles of paint / (171/2) square feet
x = (1/40) * (171/2) = (1*171)/(40*2) = 171/80 or (160 + 11)/80 = 160/80 + 11/80 = 2 11/80 or 2.1375 bottles of paint
What is 2(2x + 1) = x + 5?
Answer:
1
Step-by-step explanation:
2(2x+1)=x+5
4x+2=x+5
3x=3
x=1
Answer:
x=1
Step-by-step explanation:
2(2x + 1) = x + 5
Distribute
4x +2 = x+5
subtract 4 from each side
4x-x +2 = x-x+5
3x +2 = 5
Subtract 2 from each side
3x+2-2 = 5-2
3x = 3
Divide by 3
3x/3 = 3/3
x=1
PLZ ANSWER BEING TIMED!!!!!!!!!! WILL MARK BRAINLIEST GIVE THANKS AND MARK 5 STARS!!!!!!!
Click on B, C, and E. The one that's symmetric is 300, the skewed one is room 240 and the greater of the 2 medians it 85 (the median of room 300)
Joylin must stack 3 blocks identical to the one shown below.
8 in
What strategy for stacking the blocks will produce a stack with the least surface area?
Create a stack where the 5-inch-by-6-inch faces of the blocks touch.
Create a stack where the 5-inch-by-8-inch faces of the blocks touch.
Create a stack where the 6-inch-by-8-inch faces of the blocks touch,
Create a stack where two different-sized faces of the blocks touch.
Answer:
the answer is c
Step-by-step explanation:
Create a stack where the 6-inch-by-8-inch faces of the blocks touch is the correct strategy for stacking the blocks
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The block has the following dimensions:
( L x w x h ) = ( 8 x 5 x 6 ) in
We will determine the surface area of each unique face of the block given in the attachment.
Surface area of the face ( 8 x 5 ):
Area = ( 8 )×( 5 )
Area = 40 in²
Surface area of the face ( 8 x 6 ):
Area = ( 8 )×( 6 )
Area = 48 in²
Surface area of the face ( 6 x 5 ):
Area = ( 5 )×( 6 )
Area = 30 in²
Hence, Create a stack where the 6-inch-by-8-inch faces of the blocks touch is the correct strategy for stacking the blocks
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
Which value represents the interquartile range (IQR)?
A) 50
B) 110
C) 160
D) 560
Answer:
C) 160
Step-by-step explanation:
(Usatestprep answer)
What is 65 cm in a fraction
Answer:
65/100
Step-by-step explanation:
help my question plz
Step-by-step explanation:
[tex]65 \: cm = \frac{65}{100} \: m = \frac{13}{20} \: m \\ [/tex]
Help ASAP please the right answer
Answer:
F
Step-by-step explanation:
(╯°□°)╯︵ ┻━┻ ᶠᴸᴵᴾ ᵀᴴᴬᵀ ᵀᴬᴮᴸᴱ.
┻━┻ ︵ ヽ(°□°ヽ) ᶠᴸᴵᴾ ᵀᴴᴵˢ ᵀᴬᴮᴸᴱ.
┻━┻ ︵ ＼(`0`)/／ ︵ ┻━┻ ᶠᴸᴵᴾ ᴬᴸᴸ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ
ಠ_ಠ ᶜᴴᴵᴸᴰ. . .
ಠ_ಠ ᴾᵁᵀ.
ಠ__ಠ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ.
ಠ___ಠ ᴮᴬᶜᴷ.
(╮°-°)╮┳━┳
(╯°□°)╯︵ ┻━┻ ᴺᴱᵛᴱᴿ
(•_•)
<) )╯ᴮᴱᶜᴬᵁˢᴱ ᴵ'ᴹ
/ \
⊂_ヽ
＼＼ ＿
＼( •_•) ᶠ
< ⌒ヽ ᴬ
/ へ＼ ᴮ
/ / ＼＼ ᵁ
ﾚ ノ ヽ_つ ᴸ
/ / ᴼ
/ /| ᵁ
( (ヽ ˢ
| |、＼
| 丿 ＼ ⌒)
| | ) /
`ノ ) ᴸﾉ
(_／
I dont understand this, could someone help? thanks!
Answer:
Step-by-step explanation:
Sort the data:
64, 69, 88, 88, 91, 92, 93, 94, 95, 97, 97, 100
Key: 09|1 = 91
06| 4, 9
08| 8, 8
09| 1, 2, 3, 4, 5, 7, 7
10| 0
What is the slope of (-4,-2) and (-3,5)
Answer:
m=7
Step-by-step explanation:
m=5-(-2)/-3-(-4)
m=7/1
m=7
Answer:
The slope of the two points would be 7
Step-by-step explanation:
Which of the following terms could not be part of a polynomial expression?
(1) 7x
(3) -3r?
(2) 8
(4) 6/x^3
Explain how to model the problem with algebra tiles and
then write an algebraic expression that represents the
situation
Ruby gave away one of her puppies.
Answer:
The variable, the number of puppies, is modeled by an orange x tile. Giving away 1 puppy is modeled by 1 blue – tile. The expression that represents the situation is x – 1.
Step-by-step explanation: its a simple response
Answer:
Sample Response: The variable, the number of puppies, is modeled by an orange x tile. Giving away 1 puppy is modeled by 1 blue – tile. The expression that represents the situation is x – 1.
Step-by-step explanation:
say thank you please!!!!!!
Help me I need the steps
It's a quadratic with a positive x² coefficient, so a CUP, with a minimum
f(x) = 2x² -12 x + 13
= 2(x² - 6x) + 13
= 2(x - 3)² - 2(9) + 13
f(x) = 2(x - 3)² - 5
Since x-3 is always zero or positive the least value is
f(3) = -5
Answer: -5
gently states that the distance between R(-8,-3.5) and S(-8,-12) is |-12| + |-3.5| = 15.5 units. is Bentley correct? explain your answer. if Bentley is not correct, explain how to find the correct distance between the points
Answer:
No he is not correct.
Step-by-step explanation:
Both points lie at point -8. Knowing this, we also know that to find the answer we would subtract the two coordinates not add them. We do this because they lie in the same quadrant. Therefore, | 12 | - | - 3.5 | = 8.5 units apart.
John bought 3 cds and 2 dvds. Each cd cost $9.95, and each dvd cost $14.98. Write an equation representing the total cost c.
Answer:
£59.81
Step-by-step explanation:
3 CD's would cost 29.85
2 dvds would cost 29.96
the over all cost would be 59.81
What does 5-(-6) equal
Answer:
11
Step-by-step explanation:
- and - makes a plus
5+6=11
Plzz help will MARK BRAINLIEST
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer: 30
Step-by-step explanation: I could be wrong, but 30 just seems like most reasonable answer.
The numbers are: 27, 28, 29, 30, 31, 33, and 34.
Therfore, I think the median is 30
Answer:
the mean is 30.071428
the median is 30
Step-by-step explanation:
you have $15.
a. How much money do you have left if you ride each ride once?
You have $
left.
b. Do you have enough money to ride each ride twice? Explain.
It costs $
to ride each ride once, and you have $
left.
Question 2
response - correct
To find out how much money you have left after riding each ride once, subtract the total cost of all the rides from the amount of money you have. To find out if you have enough money to ride each ride twice, multiply the cost of each ride by 2 and check if it is less than or equal to the amount of money you have.
Explanation:a. To determine how much money you have left if you ride each ride once, you need to know the cost of each ride. Let's say each ride costs $3. To find out how much money you have left, you subtract the total cost of all the rides ($3 x number of rides) from the amount of money you have. So, in this case, you have $15 - ($3 x number of rides) left.
b. To determine if you have enough money to ride each ride twice, you multiply the cost of each ride by 2 and check if it is less than or equal to the amount of money you have. So, if each ride costs $3, you would calculate $3 x 2 = $6 to see if it is less than or equal to $15.
The circumference of the moon is about 6,790 miles Find the diameter of the moon to the nearest mile. help somebody
Answer:
2162 miles
Step-by-step explanation:
The equation of the circumference of a circle is d*pi = Circumference. Knowing this, We can do a one step equation and divide be pi on both sides to find the diameter. All you have to do is plug the numbers in and divide 6790 by 3.14 to find 2162. (Rounded to the nearest mile)
Final answer:
To find the diameter of the moon, use the formula for circumference. Given the circumference of the moon, substitute the value into the formula to find the radius. Multiply the radius by 2 to find the diameter. Round the result to the nearest mile.
Explanation:
To find the diameter of the moon, we can use the formula for circumference: Circumference = 2πr, where r is the radius. Given that the circumference of the moon is about 6,790 miles, we can rearrange the formula to solve for the diameter. Since diameter is twice the radius, we have Diameter = 2r. Substitute the given circumference value into the formula to find the radius. Then multiply the radius by 2 to find the diameter. Round the result to the nearest mile.
Step 1: Circumference = 2πr
Step 2: Given circumference = 6,790 miles
Step 3: Solve for r: 6,790 miles = 2πr
Step 4: Divide both sides of the equation by 2π: r ≈ 1,080 miles
Step 5: Multiply r by 2 to find the diameter: Diameter ≈ 2 * 1,080 miles ≈ 2,160 miles
Therefore, the diameter of the moon, rounded to the nearest mile, is approximately 2,160 miles.
A necklace has a single pearl with a radius of 2.1 millimeters. What is the volume of the pearl? Round to the nearest tenth
The volume of pearl is 39 cubic millimeters, if A necklace has a single pearl with a radius of 2.1 millimeters.
Step-by-step explanation:
The given is,
Pearl with a radius of 2.1 millimeters
Step:1
Pearl shape general looks like a sphere,
Volume of sphere,
[tex]V= \frac{4}{3}r^{3}[/tex]...............................(1)
Where, r - Radius of sphere
From the given values,
r - 2.1 millimeters
Equation (1) becomes,
[tex]= \frac{4}{3}\pi (2.1)^{3}[/tex]
Substitute the value of [tex]\pi[/tex],
[tex]= (1.33333333)(\frac{22}{7} ) (9.261)[/tex] ( ∵ [tex]\pi = \frac{22}{7}[/tex] )
[tex]=(4.190476)(9.261)[/tex]
= 38.79
≅ 39 cubic millimeters
Volume of pear, V = 39 cubic millimeters
Result:
The volume of pearl is 39 cubic millimeters, if A necklace has a single pearl with a radius of 2.1 millimeters.