Answer:
5x - 2y - 23 = 0
Step-by-step explanation:
Line is passing through the points [tex] (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2) [/tex]
Equation of line in two point form is given as:
[tex] \frac{y -y_1 }{y_1 -y_2 } = \frac{x -x_1 }{x_1 -x_2 } \\ \\ \therefore \: \frac{y -( - 4) }{ - 4 -1} = \frac{x -3 }{3 -5 } \\ \\ \therefore \:\frac{y + 4 }{ - 5} = \frac{x -3 }{ - 2 } \\ \\ \therefore \: \frac{y + 4 }{ 5} = \frac{x -3 }{ 2 } \\ \\ \therefore \: 2(y + 4) = 5(x - 3) \\ \therefore \: 2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\ \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \: \\ standard \: form.[/tex]
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.
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
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
Help with any please !! And explain
Answer:
number 7 is D i believe
Step-by-step explanation:
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]
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]
Help ASAP please the right answer
Answer:
F
Step-by-step explanation:
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┻━┻ ︵ ヽ(°□°ヽ) ᶠᴸᴵᴾ ᵀᴴᴵˢ ᵀᴬᴮᴸᴱ.
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ಠ_ಠ ᴾᵁᵀ.
ಠ__ಠ ᵀᴴᴱ ᵀᴬᴮᴸᴱˢ.
ಠ___ಠ ᴮᴬᶜᴷ.
(╮°-°)╮┳━┳
(╯°□°)╯︵ ┻━┻ ᴺᴱᵛᴱᴿ
(•_•)
<) )╯ᴮᴱᶜᴬᵁˢᴱ ᴵ'ᴹ
/ \
⊂_ヽ
＼＼ ＿
＼( •_•) ᶠ
< ⌒ヽ ᴬ
/ へ＼ ᴮ
/ / ＼＼ ᵁ
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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!!!!!!
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:
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:
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]
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.
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
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You are preparing small and large cupcakes for the school bake sale. If you will need 1/3 a spoon of sugar for each small cupcake, and 1/2 a spoon of sugar for the large cupcake.if you need to make 30 small cupcakes and 20 large cupcakes, and you have a total of 21 spoons of sugar. Is this enough to make your cupcakes?
Answer:
yes
Step-by-step explanation:
1/3x30 is 10 which would be 10 spoons
1/2x20 is also 10 which would be another 10 spoons
10+10 equals 20
you have 21 spoons which means that you will have enough spoons of sugar to make all 50 cupcakes
Answer:
Yes as the small cupcakes would need 10 spoons (=1/3 of 30) where the large cupcakes would need 10 spoons of sugar (=1/2 of 20).
Step-by-step explanation:
30 x 1/3 = 10
30 x 1/2 = 10
10+10 =20
= 20 spoons of sugar makes 10 of each size cupcakes, so 21 spoons mentioned in the question would be enough.
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.
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:
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:
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
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.
Three angles of a triangle are cut off and lined up on the
line below.
Which statements describe the relationship of the
angles in the triangle? Check all that apply.
The sum of the three angles is 90°.
The sum of the angles in the triangle is 180°.
The three angles are adjacent and form a straight
angle.
The third angle is 45°.
There is a pair of congruent angles.
Answer:
The sum of the angles in the triangle is 180°.
The three angles are adjacent and form a straight
The third angle is 45°.
There is a pair of congruent angles.
Step-by-step explanation:
The diagram is missing but we can dwell on the limited information to answer.
We know angles in a triangle add up to 180°.
Therefore when we cut all these angles and arranged them on a straight line, their sum should be 180°.
Since the three angles are on a straight line they are adjacent.
Since the diagram is missing, these are the truth statement we have for now.
Answer:
The sum of the angles in the triangle is 180°.
The three angles are adjacent and form a straight angle.
The third angle is 45°.
There is a pair of congruent angles.
Step-by-step explanation:
Sorry is late I just took the assignment
Find the volume of a right circular cone that has a height of 15.8 in and a base with a
diameter of 12.7 in. Round your answer to the nearest tenth of a cubic inch.
The right circular cone will have a volume of 667.4 cubic inches.
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Volume of a solid is measured in cubic units.
As per the given data:
height of the cone ([tex]h[/tex]) = 15.8 inch
diameter of the base ([tex]d[/tex]) = 12.7 inch
volume of a right circular cone = [tex]\frac13\pi r^2h[/tex]
Where radius ([tex]r[/tex]) = [tex]\frac{d}{2}[/tex] = [tex]\frac{12.7}{2}[/tex] = [tex]6.35[/tex]
volume = [tex]\frac13\times\pi\times (6.35)^2\times15.8[/tex]
= [tex]\frac13\times\frac{22}{7}\times (6.35)^2\times15.8[/tex]
= 667.4 cubic inches
The volume of the right circular cone will be 667.4 cubic inches.
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Which of the following terms could not be part of a polynomial expression?
(1) 7x
(3) -3r?
(2) 8
(4) 6/x^3
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]
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
Which value represents the interquartile range (IQR)?
A) 50
B) 110
C) 160
D) 560
Answer:
C) 160
Step-by-step explanation:
(Usatestprep answer)
Find the area(ignore the line if you want)
Given:
Image of the figure
To find:
The area of the figure.
Solution:
The image is splitted into two shapes.
One is rectangle and the other is trapezium.
Reference image for answer is attached below.
Rectangle:
Length = 10 cm
Width = 2.8 cm
Area = length × width
= 10 × 2.8
Area = 28 cm²
Trapezium:
Top base = 6 cm
Bottom base = 10 cm
Height = 7.2 - 2.8 = 4.4 cm
Area = [tex]\frac{1}{2} \times\left(b_{1}+b_{2}\right) \times h[/tex]
[tex]$=\frac{1}{2} \times(6+10) \times 4.4[/tex]
[tex]$=\frac{1}{2} \times 16 \times 4.4[/tex]
Area = 35.2 cm²
Area of the figure = 28 cm² + 35.2 cm²
= 63.2 cm²
The area of the figure is 63.2 cm².
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)
Suppose y varies inversely with x. Write an equation if y=40 when x=16
Can someone plz help with this plzzzzz
Answer:
We have a 30°-60°-90° triangle.
m = 20, n = 10
The correct answer is D.
1. 4x² – 25
What is the answer to the equation
Answer:
-23.04 i think
Step-by-step explanation: