Therefore , When the side lengths are (2x-1) and (4x + 5), the smartboard's perimeter is expression is as 12x2 - 8.
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
Here,
Given :
smartboard of side length is ( 2x-1) and ( 4x + 5 )
perimeter of small board = 2( l+ b)
2( 2x-1 + 4x + 5 )
2( 6x - 4)
When the side lengths are (2x-1) and (4x + 5), the smartboard's perimeter is expressed as 12x2 - 8.
The diagram can be imagined as a big whiteboard of shape of rectangle.
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11. Choose all expressions that cannot be simplified using the quotient rule for exponents. Select all that apply.
(3²)(9⁻¹)(2³) / (8⁵)(7⁻²)
(4⁻²)(x⁻¹) / (4⁻¹)(x⁻²)
(6x⁻⁸z²)(6⁵x⁻¹z²)
q⁻⁵r¹¹ / s⁷t⁻¹⁵
The only expression that cannot be simplified using the quotient rule for exponents is; Option D: q⁻⁵r¹¹ / s⁷t⁻¹⁵
How to Interpret the Quotient rule of exponents?
The quotient rule for exponents states that when dividing two numbers with exponents, the exponents can be subtracted when the bases are the same. For example, xᵃ/xᵇ = xᵃ⁻ᵇ
A) (3²)(9⁻¹)(2³)/(8⁵)(7⁻²)
This can be re-expressed in terms of factors as;
(3²)(3⁻²)(2³)/((2³)⁵)(7⁻²)
= (3²⁻²)/((2³)⁴(7⁻²))
= 1/(8⁴(7⁻²))
B) (4⁻²)(x⁻¹)/(4⁻¹)(x⁻²)
Using quotient rule, we have;
(4⁻²⁺¹)(x⁻¹⁺²)
= (4⁻¹x⁻¹)
C) (6x⁻⁸z²)(6⁵x⁻¹z²)
Using quotient rule, we have;
x⁻⁷/6⁴
D) q⁻⁵r¹¹ / s⁷t⁻¹⁵
We don't have any similar variable as numerator or denominator and as such this cannot be simplified using quotient rule of exponents.
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Anton thinks that glucose is a reactant of photosynthesis, but his classmate Jamila disagrees. Who is correct, and why?
Anton is correct because glucose is a substance that is present before the chemical reaction of photosynthesis takes place.
Anton is correct because glucose is a substance that is formed from the chemical reaction of photosynthesis.
Jamila is correct because glucose is a product, not a reactant, of photosynthesis.
Jamila is correct because glucose is not involved in the chemical reaction of photosynthesis.
Jamila is correct because glucose is a product, not a reactant, of photosynthesis. The correct option is C.
How to illustrate the information?Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant. In plants, a chemical process known as photosynthesis uses water, carbon dioxide from the atmosphere, and other reactants to produce glucose from the light energy from the sun. Plants' leaf cells are where this process takes place.
Based on the information presented above, it can be concluded that Jamila is right because glucose is a byproduct of photosynthesis rather than a reactant.
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What is the scale factor of dec to abc decimal form only 
The scale factor from the given similar triangles is 3.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle ABC and triangle DEC are similar.
DE=6, AB=21, DC=4, EC=2x+3, and BC=13x-1.5.
Since, ΔABC similar to ΔDEC
So, AB/DE =AC/DC =BC/EC
21/6 =13x-1.5/2x+3
7/2 =13x-1.5/2x+3
7(2x+3)=2(13x-1.5)
14x+21=26x-3
26x-14x=21+3
12x=24
x=2
So, EC=2x+3 =7 and BC=13x-1.5 =24.5
Now, AB/DE =BC/EC
21/6=24.5/7=3.5
Therefore, the scale factor is 3.5 units.
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The diagram shows AJKL. Which term describes point M?
The term that describe point M in the diagram is centroid.
What is a centroid of a triangle.A triangle is a given shape which have three number of sides, and three measures of internal angles. Some types of triangle are; isosceles, equilateral, scalene, right angled etc.
Constructing an angle bisector to each of its internal angles will produce an intersecting point which is referred as centroid. The centroid of a triangle is a point where the medians of the triangle meet. The medians of a triangle are the straight lines that bisect each of its internal angle.
Therefore it can be deduced from the given diagram that the term that describes point M is centroid.
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James worked for 12 consecutive days, during the first 6 days, James averaged
$140 per day, his average wage for the next 5 days was $175, and for the last day
he earned $205. How much did he earn on average each day?
The amount earned on average each day is $160.
How to calculate the average?From the information, James worked for 12 consecutive days, during the first 6 days, James averaged $140 per day, his average wage for the next 5 days was $175, and for the last day, he earned $205.
It should be noted that average is also the mean. This will be calculated as:
(6 × $140) + ($175 × 5) + $205 / 12
= $840 + $875 + $205 / 12
= $1920 / 12
= $160
The average amount is $160.
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How can I say "my pleasure" in French?
Answer:
My pleasure in French is Mon Plaisir
Answer:
You can say ''my pleasure '' in French ''
Step-by-step explanation:
mon plaisir
use distributive property to remove parenthesis -4(-6v-4w+1)
Answer:
To use the distributive property to remove the parentheses in the expression "-4(-6v-4w+1)", you need to distribute the negative 4 to each of the terms inside the parentheses. This gives you the following:
(-4*-6v) + (-4*-4w) + (-4*1)
Simplifying this expression, we get:
24v + 16w - 4
Step-by-step explanation:
Answer:
24v + 16w - 4
Step-by-step explanation:
use distributive property to remove parenthesis -4(-6v-4w+1)
-4(-6v - 4w + 1) =
24v + 16w - 4
Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0
The general form of the equation for the given circle centered at O(0, 0) include the following: B. x^2 + y^2 − 41 = 0
What is the equation of a circle?Mathematically, the general (standard) form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Next, we would determine the radius of this circle by using the distance formula as follows;
Radius, r = √[(4 - 0)² + (5 - 0)²]
Radius, r = √(16 + 25)
Radius, r = √41
Substituting the given parameters into the general form, we have;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = (√41)²
x² + y² = 41
x² + y²- 41 = 0
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Complete Question:
Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)?
a. x^2 + y^2 + 41 = 0
b. x^2 + y^2 − 41 = 0
c. x^2 + y^2 + x + y − 41 = 0
d. x^2 + y^2 + x − y − 41 = 0
Which symbol replaces ? to make the statement true?
2 x 18 - 18 ? 2 x [28-3 x (2+4)]
will mark brainliest and will give thanks
Which symbol replaces ? to make the statement true?
2 x 18 - 18 ? 2 x [28-3 x (2+4)]
will mark brainliest and will give thanks
the answer : <
Help ASAP, please math question
The length of the skid marks is 336 feet
How to determine the length of the skid marks?
Since the formula s = √(21d) relates the speed (s) of the car and the length of skid (d).
If the car is traveling at 84 miles per hour, we can determine the length of the skid marks by substituting s = 84 into the formula and then solve for d. That is:
s = √(21d)
84 = √(21d)
84² = 21d
7056 = 21d
21d = 7056
d = 7056/21
d = 336 feet
Thus, length of the skid marks is 336 feet
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Misaki is measuring her office, which is rectangular. The length of the room is 9 ft and the perimeter is 42 ft.
Which equation represents the perimeter in terms of the width, w?
- 2(9+w)=42
- 2(9)+w=42
- 2(18+w)=42
- 2(w)+9=42
The correct equation which represents the perimeter in terms of the width, w is,
⇒ 2 (9 + w) = 42
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Misaki is measuring her office, which is rectangular.
And, The length of the room is 9 ft and the perimeter is 42 ft.
Now, We know that;
⇒ Perimeter of rectangle = 2 (Length + Width)
Here, The length of the room is 9 ft and the perimeter is 42 ft.
So, We can formulate;
⇒ Perimeter of rectangle = 2 (Length + Width)
⇒ 42 = 2 (9+ w)
Thus, The correct equation is,
⇒ 42 = 2 (9+ w)
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Hector left his house at (-9,9) on a map of Coleville and walked to the zoo at (-9,2). From there he walked
east to his friend's house. He walked a total distance of 24 blocks.
If each unit on the map represents one block, what are the coordinates of Hector's friend's house?
Answer:
(-33,2)
Step-by-step explanation:
Evaluate the expression
Answer:
I don't know
Step-by-step explanation:
There is no expression here!
Dan buys a car for £2200.
It depreciates at a rate of 0.5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate. Please I need the answer it's due in an hour!!
In 6 years, the car's depreciated value that Dan buys for £2,200 will be £1,474 under the straight-line depreciation method.
What is the straight-line depreciation method?The straight-line depreciation is one of the depreciation methods in use.
Other depreciation methods include the sum-of-the-years' digits, the double-declining balance method, and the unit-of-production method.
Under the straight-line depreciation method, the same amount is used to reduce the value of the car.
The cost of the car when Dan buys it = £2,200
The annual rate of depreciation = 0.5% = 0.005
The depreciation period = 6 years
The annual depreciation under the straight-line method = £11 (£2,200 x 0.5%)
The depreciated value of the car after 6 years = £1,474 (£2,200 - £11 x 6)
Thus, Dan's car will be worth £1,474 after 6 years of depreciation.
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How to pronounce 405,200.958
SOS!!!!!!
NEED HELP PLSSSSSS
Miguel has $20. He spends $6.00 on a movie ticket, $3.85 for snacks, and $2.00 for bus fare each way. How much money does Miguel have left?
The amount of money left with Miguel is $8.15
How to calculate the amount of money that Miguel will have after his expenses?Miguel has $20
He spends $6 on movie ticket
He spends $3.85 for snacks
He also spends $2 for bus fare
The total expenses is
6 + 3.85 + 2
= 11.85
The amount left is
20- 11.85
= 8.15
Hence Miguel has $8.15 left
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how do I solve this by elimination?
4x + 10y = -12
-4X - 7Y = 0
Answer:
[tex]x=7, y=-4[/tex]
Step-by-step explanation:
[tex](4x+10y)+(-4x-7y)=-12+0 \implies 3y=-12 \implies y=-4 \\ \\ 4x+10(-4)=-12 \implies x=7 \\ \\ \therefore x=7, y=-4[/tex]
How many solutions does this equation have? 2x + 2x + 2 = 4 + 2x
The number of solutions the equation 2x + 2x + 2 = 4 + 2x have is 1
How many solutions does this equation have?From the question, we have the following parameters that can be used in our computation:
2x + 2x + 2 = 4 + 2x
Subtract 2x from both sides of the equation
So, we have the following representation
2x + 2 = 4
Subtract 2 from both sides of the equation
So, we have the following representation
2x = 2
Divide both sides by 2
x = 1
Hence, the equation has 1 solution
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find the length of the hypotenuse of an isosceles right triangle with leg lengths 5 cm
The length of the hypotenuse of an isosceles right triangle with leg lengths 5 cm will be 7 cm.
The Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relationship between the three sides of a right triangle in Euclidean geometry. The areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse, according to this statement.
The length of the leg of the given isosceles right triangle is 5 cm.
Using pythgorous theorem,
[tex](h^{2} ) = 5^{2} + 5^{2} \\h^{2} = 25 +25\\h^{2} = 50\\h = \sqrt{50} \\h = 7.07\\h = 7 cm[/tex]
Hence, The length of the hypotenuse will be 7 cm.
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PLEASE HELP ME
What is the approximate surface area of this right prism with triangular bases?
A.
B.
C.
D.
C) 537 square feet is the approximate surface area of this right prism with triangular bases.
What is Surface area?The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.
Given, A right prism has a triangular base.
From the general formula of surface area
Surface area of triangle = 1/2 * base * height
The surface area of the rectangle = length * width
in our case,
Surface area of the triangle = 1/2 * base * height
Surface area of the triangle = 1/2 * 10 * 8.7
Surface area of the triangle = 1/2 * 87
The surface area of the rectangle = length * width
The surface area of the rectangle = 15 * 10
The surface area of the rectangle = 150
Since surface area of rectangle prism = 3 * area of rectangle + area of triangle * 2
Thus,
the surface area of rectangle prism =3 * 150 + 2 * 1/2 * 87
surface area of rectangle prism = 450 + 87 = 537
Therefore, 537 square feet is the approximate surface area of this right prism with triangular bases.
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In squaring corners, you measure one side as 12 and the other side as 16. What's the length of the diagonal between these two sides?
The length of the diagonal between the two sides, given the measurement of each side, is 20.
How to find the diagonal ?When given the lengths of two sides, the diagonal can be found by summing the squares of the sides and then finding the square root of the sum of these two numbers.
The sum of the squares is therefore :
= 12 ² + 16 ²
= 12 x 12 + 16 x 16
= 144 + 256
= 400
Then find the square root of this sum as this is the length of the diagonal between the two sides :
= √ sum of squares of sides
= √ 400
= 20 units
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sharmila recived 81 texts in 9 minutes
Answer:
Step-by-step explanation:
81 texts in 9 hours
So you do 81 divided by 9
Which givrs you 9 text an hour
X
-2
2246
y
-5
5
05
10
15
Which best describes the function represented by the
table?
O direct variation; k =
O direct variation; k =
NS
52
O inverse variation; k = 10
O direct variation; k
=
10
The function is best described by option B direct variation; k= 5/2.
What is direct variation?When two variables are related in a way that one is a constant multiple of the other, this is referred to as direct variation.
The direct variation is given as follows y ∝ x.
The equation is thus of the form y = kx.
Using the given values in the table:
Consider x=-2 and y= -5
Substitute the values in y=kx.
-5 = -2k
Divide both sides of the equation by -2.
[tex]\frac{-5}{-2} = \frac{-2}{-2}k \\k =\frac{5}{2}[/tex]
The equation is [tex]y=\frac{5}{2} x[/tex] [ equation 1]
Check equation 1 for a different value in the table using the constant value k.
Let x= 4 and y = 10.
[tex]y = \frac{5}{2} x\\10 = \frac{5}{2} (4) \\10 = 10[/tex]
The equation holds true; hence the function is best described by direct variation; k = 5/2.
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Add a nonrestrictive
element using commas.
My brother keeps taking my
tal.
things.
My brother, who is always pushing my buttons, keeps taking my things.
What is statement?State-ment ˈ : something stated: such as. : a single declaration or remark : assertion. : a report of facts or opinions. : the act or process of stating or presenting orally or on paper.
Here , the required answer is.
My brother, who is always pushing my buttons, keeps taking my things.
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A company sells wireless speakers for $140 each. To produce a batch of n wireless speakers, there is a cost of $78 per
wireless speaker and a fixed or setup cost of $11,200 for the entire batch. Determine a function that gives the profit in
terms of the number of wireless speakers produced. What is the number of wireless speakers that must be produced and
sold in order for the company to break even?
The number of wireless speakers that must be produced and sold in order for the company to break even is 186 and the profit function can be given as 62n -11200.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given;
A company sells wireless speakers for $140 each,
cost of $78 per wireless speaker and the fixed cost is $11200,
Write the function of cost as shown below,
Cost price = 11200 + 78n
Here, n is the number of speakers
Calculate the profit as shown below,
profit = 140n - 11200 - 78n
profit = 62n -11200
Calculate the breakeven point as shown below.
62n -11200 = 0
n = 11200 / 62
n = 180.6
n = 181
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Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 4/5x + 8
Step-by-step explanation:
y-intercept = b = 8
Use the points (-10,0) and (0,8) to find the slope (m)
m = (8 - 0)/(0 - (-10)) = 8/10 = 4/5
y = mx + b
y = 4/5x + 8
if h(x)=(f o g)(x) and h(x)=\sqrt[4]{x+7} find g(x) if f(x)= \sqrt[4]{x+1}
The function g(x), considering that h(x) is the composite function of f(x) and g(x), is given as follows:
g(x) = x + 6.
What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the following rule:
h(x) = (f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
The functions for this problem are defined as follows:
[tex]h(x) = \sqrt[4]{x + 7}[/tex][tex]f(x) = \sqrt[4]{x + 1}[/tex]Hence the function g(x) is defined as follows:
g(x) = x + 6.
As the application of the composite function is given as follows:
[tex]h(x) = (f \circ g)(x) = f(x + 6) = \sqrt[4]{x + 6 + 1} = \sqrt[4]{x + 7}[/tex]
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Need help solving this equation
Answer:
∠EHF = 99°
Step-by-step explanation:
Given ∠EHG = 176°, ∠EHF = (4y+107)°, and ∠FHG = (10y+97)°, you want the measure of angle EHF.
Angle AdditionAngle EHG is the sum of its parts:
∠EHG = ∠EHG +∠FHG
176° = (4y+107)° +(10y+97)° . . . . use the given values
176 = 14y +204 . . . . . . . . . simplify, divide by °
-28 = 14y . . . . . . . . . . subtract 204
-2 = y . . . . . . . . . . divide by 14
∠EHF = (4y +107)° = (4(-2) +107)°
∠EHF = 99°
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
The volume of the cone is 12π or 37.70 cm²
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Given data ,
Let the volume of the cone be represented as V
Now , the equation will be
Let the length of the cone be S = 5 cm
Let the height of the cone be = H
Let the radius of the cone be R = 3 cm
From the Pythagoras theorem , S² = H² + R²
So, substituting the values in the equation , we get
Height of the cone H = √5² - 3²
Height of the cone H = √25 - 9
Height of the cone H = √16
Height of the cone H = 4 cm
Now , the volume of the cone = ( 1/3 ) πR²H
Substituting the values in the equation , we get
Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4
On simplifying the equation , we get
Volume of the cone V = 3 x 4 x π
Volume of the cone V = 12 π
Volume of the cone V = 37.70 cm²
Therefore , the value of V is 37.70 cm²
Hence , the volume of cone is 12π or 37.70 cm²
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A parabola can be drawn given a focus of (-8,6) and a directrix of y=0. Write the equation of the parabola in any form
A parabola with focus of (-8, 6) and a directrix of y = 0. has the equation of the parabola as (x + 5)² = 8 (y - 3)
How to write the equation of parabola with directrix of y = 0 and focus of (-8, 5)Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:
(x - h)² = 4P (y - k)
OR
standard vertex form, y = a(x - h)² + k where a = 1/4p
The focus
F (h, k + p) = (-8, 6)
h = -8
k + p = 6
P in this problem, is the midpoint between the focus and the directrix
P = (6 - 0) / 2 = 3
p = 3
the vertex
v(h, k)
h = -8
k + p = 6, k = 3
v(h, k) = v(-8, 3)
substitution of the values into the equation gives
(x - h)² = 4P (y - k)
(x - (-8))² = 4 * 3 (y - 3)
(x + 5)² = 8 (y - 3)
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