Answer:
This is an experiment with blocking ( B )
Step-by-step explanation:
The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a blocking variable while the weights can be considered as treatments
A blocking variable is a variable used in experiment which is not of primary interest to the experiment observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )
please help asap do both
From the following set of points, 26 is a trapezoid but not a isosceles trapezoid while 27 is not a trapezoid at all.
What is trapezoid?A closed, four-sided trapezoid in two dimensions has a perimeter and an area. Two of the sides are considered the bases of the trapezoid because they are parallel to one another.
The non-parallel sides of a trapezoid are referred to as its legs or lateral sides. The altitude is that distance between two parallel sides that is shortest. The area of a trapezoid can be easily calculated because the opposite sides are parallel to one another.
If the given points make an isosceles trapezoid then AB and CD must be equal and BC and AD must not be equal
Lets solve
26. AB = [tex]\sqrt{(-4-(-4))^2+(-1-6)^2}[/tex] = 7
CD = [tex]\sqrt{(2-(2))^2+ (6-(-4))^2}[/tex] = 10
BC = [tex]\sqrt{(-4-2)^2+ (6-6)^2}[/tex] = 6
AD = [tex]\sqrt{(-4-2)^2+ (-1-(-4))^2}[/tex] = 3√5
Thus, this not an isosceles trapezoid.
27. AB = [tex]\sqrt{(-5-2)^2+(2-6)^2}[/tex] = 8.06
CD = [tex]\sqrt{(-1-2)^2+ (6-1)^2}[/tex] = 5.83
BC = [tex]\sqrt{(-5-(-1))^2+ (6-6)^2}[/tex] = 6
AD = [tex]\sqrt{(2-(-5))^2+ (-1-2)^2}[/tex] = 3√5
None of the side make an trapezoid and it is not a isosceles trapezoid
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9) A 10 feet flag stands. Point A is the top of flag, point B is End of the flag’s shadow and point C is the bottom of flag. The distance from point A to Point B is a total of 15 feet. What is the length of the distance from point B to C?
10) Two hockey players are trying to kill some time. They are throwing their mini-sticks against the building from a distance to see who can get there stick to stand up the tallest. The winner was lying at a 430 angle. If the mini-stick was 9 inches tall, how high up on the building did the stick touch ?
HELP PLEASE :?
Answer:
9) 11.18 feet
10) 6.14 inches
Step-by-step explanation:
The first problem sets up a situation with a right triangle. See image. Two sides are given, so you can use Pythagorean Theorem to find the last side. See image.
The second problem also sets up a right triangle. But here only one side length is given and one angle, so you use trigonometry. Sine is the ratio of the opposite side/hypotenuse. Use sine to find the missing length. See image.
I rounded these answers to the nearest hundredth (two decimal places) Check directions if they should be rounded more or less.
how to solve 98,060 x 4
The value of 98,060 × 4 = 392240.
Distributive Property of Multiplication:
The distributive property of multiplication states that when we multiply a number by the total of two or more addends, the outcome is the same as when we multiply the number by each addend separately.
The sum and difference of two more numbers are both subject to the distributive property of multiplication.
According to the Distributive Property of Multiplication:
(A + B)C = AC + BC
Here we have
98,060 × 4
As we know 98060 = (98000 + 60)
= (98000 + 60) × 4
= (98000 × 4) + (60 × 4) [ ∵ (A + B)C = AC + BC ]
= 392000 + 240
= 392240
Therefore,
The value of 98,060 × 4 = 392240.
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Check all that apply to the differential equation dy/dx+sin2(x)y=cos2(x)y
A. homogeneous B. ODE C. PDE D. first order E. second order F. third order G. linear H. a candidate for integrating factors I. separable J. autonomous
A: The differential equation can be expressed in the form f(x ,y) = g(x)h(y) = 0, indicating that it is homogeneous. Divide both sides of the equation by y to observe this, which results in dy/dx + sin^2(x) = cos^2(x)
B: Since there is just one function y and its derivative dy/dx involved in the equation, it is an ODE.
D: Because there is only one function y and its derivative dy/dx involved in the equation, first-order differential equations are what it is.
G: The formula for the equation is a(x)y' + b(x)y = c(x), where a(x)=1, b(x) = sin^2(x), c(x) = cos^2(x) . Given that x and the coefficients of y and dy/dx are constants, the equation is linear.
H: The equation may be written as dy / y = (cos^2(x))dx/(1+sin^2(x)),and it is a candidate for integrating factors because we can multiply both sides by (1+sin^2(x))dx .
I: The variables x and y can be separated by integrating both sides of the equation, which can be represented as (dy/y) = (cos^2(x))dx/(1+sin^2(x)) + (sin^2(x))dx .
J: The equation is self-sufficient; it is not dependent on any explicit function of t.
Therefore, the differential equation dy/dx+sin^2(x)y=cos^2(x)y .A candidate for integrating factors exists in the first-order linear, homogeneous, separable, and autonomous ODE known as y.
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f(x) = ⌊2x +3⌋
Find f(1.2)
Question 3 options:
5.4
6
5
0
Answer: The correct answer is choice A. 5.4
Step-by-step explanation:
I hope this helps! :D
A biologist is researching a newly-discovered species of bacteria. At 8:00AM when she arrives at the lab, she puts a population of 600 bacteria into a favorable growth medium.
She measures the sample again before she goes home at 4:00PM and notes that the population is now 1300 bacteria.
When she comes back to the lab the next morning at 8:00AM, how many bacteria will there be?
Assume that the population of bacteria follows an exponential growth model.
Give your answer as a decimal number rounded to the nearest whole number.
Population = __________ bacteria
When she comes back to the lab the next morning at 8:00AM, the number of bacteria that will there be is 2000.
How to illustrate the population?From the information, the biologist is researching a newly-discovered species of bacteria. At 8:00AM when she arrives at the lab, she puts a population of 600 bacteria into a favorable growth medium.
She measures the sample again before she goes home at 4:00PM and notes that the population is now 1300 bacteria. The difference in the population will be:
= 1300 - 600
= 700
When she comes back to the lab the next morning at 8:00AM, the number of bacteria that will there be will be:
= 1300 + 700
= 2000
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A boat is heading towards a lighthouse, whose beacon-light is 113 feet above the water. The boat’s crew measures the angle of elevation to the beacon, 11^{\circ} ∘ . What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.
Answer:
581.3
Step-by-step explanation:
Clever and Smart have an assembly line that produces
one car every 3 days. Their factory operates 6 days a
week with 5 workers who work 8 hours a day. They
pay each worker $12 an hour for the first 40 hours
and 1.5 times that amount for every hour over 40 in a
one-week pay period. They have orders for 20 cars.
How much money must they pay their workers all
together to complete all the orders?
To fulfill all of the orders, they must pay their employees a total of $9600 as 480 * 20 = $9600 .
what is unitary method ?This unit technique is a way of problem-solving that entails calculating the value of a specific unit, multiplying that value, and then calculating the required value. To put it simply, the unit method is used to extract a single model value from a specified multiple. One pen costs 400 rupees, thus 40 pens would cost 400 rupees. There might be a regular procedure for doing this out. merely one nation. anything containing a distinctive component. Mechanics of matrices or operators, abstract algebra, mathematical analysis, and its adjoint and reciprocal are all equivalent.
given
Each employee is paid $12 per hour for the first 40 hours,
therefore $480 must be paid to all of their employees in order to fulfill all orders (20 * 3 = 60 days for 20 automobiles
, or 5 employees working 8 hours per day).
480 * 20 = $9600
To fulfill all of the orders, they must pay their employees a total of $9600.
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please rlly important need asap do all 50 points
Answer:
11. TS = 123.8 cm
12. SW = 108.8 cm
13. m∠SVU = 123°
14. m∠STU = 123°
15. US = 217.6 cm
16. m∠TUV = 57°
Step-by-step explanation:
Properties of a Parallelogram:
Quadrilateral (4-sided, two dimensional shape).Opposite sides are equal in length and parallel to each other.Diagonals bisect each other (divide into 2 equal parts).Diagonals are not equal in length.Opposite angles are equal.Sum of all the interior angles is 360°.Adjacent angles are supplementary (sum to 180°).11. Opposite sides are equal in length:
TS = UV = 123.8 cm12. Diagonals bisect each other (divide into 2 equal parts):
SW = WU = 108.8 cm13. Adjacent angles are supplementary (sum to 180°):
⇒ m∠SVU + m∠TSV = 180°
⇒ m∠SVU + 57° = 180°
⇒ m∠SVU = 123°
14. Opposite angles are equal:
m∠STU = m∠SVU = 123°15. Diagonals bisect each other (divide into 2 equal parts):
⇒ US = 2 × UW
⇒ US = 2 × 108.8
⇒ US = 217.6 cm
16. Opposite angles are equal:
m∠TUV = m∠TSV = 57°The table below shows the ratio of materials in a composting container.
Brown Material (gallons) 12.75 18.6 24 E
Green Material (gallons) 4.25 B D 11.5
Total (gallons) A C 32 46
If Jeremy needs 64 gallons of compost to plant his garden in the spring, how much brown material will he need? How much green material will he need?
The amount of Brown material: 39 gallons and Green material: 13 gallons.
What is a proportion?A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations such as multiplication or division are used along with the unit rates to find the equivalent measures.
On the first column of the table, the total amount is:
12.75 + 4.25 = 17 gallons.
The fractions of each material are given as follows:
Brown material: 12.75/17 = 0.75
Green material: 4.25/17 = 0.22.
Therefore, the amount of brown material needed with 52 gallons is:
0.75 x 52 = 39 gallons.
The amount of green material needed with 52 gallons is:
0.25 x 52 = 13 gallons.
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Which expression is equivalent to 7x^2 square root of 2x^4 • 6 square root of 2x^12, if x does not equal 0?
For the given expression, the correct answer is C, 7x².√2x⁴.6√2x¹² = 84x¹⁰.
Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression.
A variable is a letter, like x, y, or z, that stands in for an arbitrary number. You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6.
Given,
the expression is 7x².√2x⁴.6√2x¹²,
Solving the under root,
⇒ 7x².√2x².6√2x⁶
⇒ 7x² . √2 x². 6. √2 . x⁶ [√2 × √2 = 2]
⇒ 7 × 6 × 2 × x¹⁰ = 84 x¹⁰
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The Peters Family ordered one milkshake and two sundaes at the local ice cream shop and spent $14.95. The Morrison Family ordered three milkshakes and four sundress and spent $33.65. find the cost of one milkshake and one sundae.
On solving the provide question, we got to know that volume of cube is and volume of cuboid is , so volume cube is greater.
What is cuboid?We are aware that a rectangle has four corners and is a two-dimensional form. Think of the form as a collection of parallel rectangles. The resultant form is known as a cube. Take a look at the following three-dimensional cube. Height, Width, and Length
The volume of the cube = [tex]a^3[/tex]
Where a is the length of the side = 7cm
volume of cube =
[tex]7*7*7[/tex]We are aware that a rectangle is a two-dimensional shape with four corners. Consider the shape to be a set of parallel rectangles. The resulting shape is referred to as a cube. Look at the following cubic object in three dimensions. Length, Width, and Height
volume of the cuboid = l*b*h =
[tex]7*8*4 = 224 cm^2[/tex]
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Which of the following polynomials is in standard form?
SHESH Tecaci
ہے
te
O A. F(x) = 5x + 2x³ - x² - 3
OB. F(x) = -3+5x - x² + 2x³
O c. F(x) = -3 - x² + 2x³ + 5x
O D. F(x) = 2x³ - x² + 5x − 3
-
F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.
What is polynomial?Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.
Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.
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A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?
80 children
150 children
200 children
320 children
The number of children that attend the fair on the day tha 350 were present in the fair is 200
How to calculate the number of children in the fairThe number of children in the fair is obtained by solve a simultaneous equation generated as follows
let x be the number if children be x and the number of adults be y. such that
x + y = 350
and from the cost we have
$3y + $2x = 900
the two equations are
x + y = 350
3y + 2x = 900
solving simultaneously with a calculator
x = 200 and y = 150
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Frank is going to plant d vegetable seeds in one garden and 3d + 6 vegetable seeds in another. How many seeds is Frank going to plant?
Frank is going to plant seeds.
(Simplify your answer.)
Frank is going to plant d vegetable seeds in one garden, and 3d + 6 vegetable seeds in another. So Frank is going to plant 4d + 6 vegetable seeds in total.
What is algebra?Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. Algebra is used to solve problems and to describe patterns and relationships between variables. It is a powerful tool for modeling and understanding many types of real-world situations.
In algebra, letters or other symbols are used to represent numbers or quantities that are not known. These symbols can be manipulated using mathematical operations, such as addition, subtraction, multiplication, and division. Equations and inequalities involving these symbols can be solved to find the values of the unknowns. Algebraic equations can also be graphed to visualize the relationship between the variables.
To find the total number of vegetable seeds Frank is going to plant, we can add the number of seeds he is planting in each garden:
d + (3d + 6) = d + 3d + 6 = 4d + 6
So Frank is going to plant 4d + 6 vegetable seeds in total.
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rearranging formulae make x the subject y=x+2
The rearranged formulae with x as the subject is x=y-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here:
y=x+2
rearranging we get
x=y-2
Hence, The rearranged formulae with x as the subject is x=y-2
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Solve for x.
2x² =2x - 3
Answer:
[tex]\displaystyle x=\frac{1\pm\sqrt{5}i}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle 2x^2=2x-3\\2x^2-2x+3=0\\\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(2)(3)}}{2(2)}\\\\x=\frac{2\pm\sqrt{4-24}}{4}\\ \\x=\frac{2\pm\sqrt{-20}}{4}\\ \\x=\frac{2\pm2\sqrt{5}i}{4}\\\\x=\frac{1\pm\sqrt{5}i}{2}[/tex]
I need help with this 2 problems! Please help and thank you
The Pythagorean theorem states that the square of a right-angled triangle's hypotenuse is equal to the sum of the squares of its other two sides.
How do you use the hypotenuse leg theorem?You can demonstrate the congruence of two right triangles using the Hypotenuse-Leg (HL) Triangle Congruence Theorem, which is a particular instance. A right triangle is congruent with another right triangle if its hypotenuse and one of its legs are congruent with its hypotenuse and one of its legs.
The hypotenuse (longest side) square in a right-angled triangle is equal to the sum of the squares of the other two sides, according to the Pythagorean theorem (base and perpendicular).
The right triangles are said to be congruent if their respective hypotenuses and legs are congruent with one another, according to the hypotenuse-leg (HL) theorem. By the HL theorem, these triangles are congruent.
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Find k so that the line through (-4,1) and (k,3) is perpendicular to 8x + 13y = 26
The value of K so that the line passing through (-4, 1) and (k, 3) is perpendicular to 8x + 13y = 26 is solved to be
k = 68/13How to the value of KA linear function consists of functions where the variables has exponents of 1. the relationship is expressed in the slope intercept form as below.
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The given equation is rewritten in slope intercept form as follows
8x + 13y = 26
13y = 26 - 8x
y = 2 - 8/13 x
the slope is 8/13
For a perpendicular line the slope = -1/m
= -1/(8/13)
= -13/8
For a line to have a slope of -13/8, the points will be
-13/8 = (1 - 3) / (-4 - k)
cross multiplying
-13(-4 - k) = 8(1 - 3)
52 + 13k = -16
solving for k
13k = -16 - 52
13k = 68
k = 68/13
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i need help with point slope form
The equation of this parallel line using point slope is y = 4x - 31.
What is point-slope form?The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis may be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
Given that the equation of a line is y = 4x - 2.
Here, we observe that the slope m = 4
Parallel lines have the same slope. So, the slope of the new line is:
m = 4
Given that points (x1, y1) = (5, -11) are also in the new parallel line.
Using the Point-Slope form we can write:
y - y1 = m (x - x1)
Substitute the value of x and y coordinates in the above equation:
y - (-11) = 4 (x - 5)
y + 11 = 4x - 20
y = 4x - 20 -11
y = 4x - 31
Hence, the equation of this parallel line using point slope is y = 4x - 31.
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Factor completely x² - 7x + 18.
Prime
(x-9)(x-2)
(x-9)(x+2)
(x + 9)(x+2)
Factor of x ^2+7x−18 is (x−2)(x+9)
What is factorization?
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
We are given a polynomial expression in terms of variable x as:
x² - 7x + 18
x ^2+7x−18
=x ^2−2x+9x−18
=x(x−2)+9(x−2)
=(x−2)(x+9)
∴ x ^2+7x−18=(x−2)(x+9)
Hence, Factor of x ^2+7x−18 is (x−2)(x+9)
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What is the slope-intercept equation for this line?
What is the slope of the following linear function?
Answer:
slope = - 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (0, 2 ) and (x₂, y₂ ) = B (2, 0 )
m = [tex]\frac{0-2}{2-0}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
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Illustrative Mathematics
Cool-down: Fundraising for the Animal Shelter
Noah raised $54, which is 60% of his fundraising goal to support the animal shelter.
5
Noah's ambition was $90, and he raised $54 toward that total, or 60% of his fundraising target, in order to benefit the animal sanctuary.
what is equation ?A mathematical equation is a formula that connects two statements using the equal sign (=) to denote equivalence. An algebraic equation is a mathematical statement that establishes the equality of two mathematical expressions. For example, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. Mathematical equations are used to express the connection between two phrases on either side of a letter. There is frequently just one variable, which is also the symbol. example: 2x - 4 = 2.
given
60% x what= $54
Then, by converting 60% to a decimal, we can turn it into a useful number: 0.6. We will substitute x for what because we also need to make "what" simpler to use:
0.6x=54
Get x by itself next, which is referred to as isolating the variable. To accomplish this, divide both sides by 0.6, which is referred to as employing inverse operations.
You must obtain x=90.
Noah's ambition was $90, and he raised $54 toward that total, or 60% of his fundraising target, in order to benefit the animal sanctuary.
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Need help with question attached below in an image.
The resulting quadratic equation is x^2 - x - 7 = 0.
Determine the x-values?The x-values for which f(x) < 1 can be determined by solving the inequality f(x) < 1.
Since f(x) is not given in the question, we must first define it. Let's assume f(x) = x^2 - 2x + 1.
We can solve this inequality by subtracting 1 from both sides, and then completing the square on the left side of the equation.The resulting equation is (x - 1)^2 < 0.
Since the square of any real number is nonnegative, this equation has no solutions.Therefore, the x-values for which f(x) < 1 are not defined and can be expressed as the empty set, written as ∅.The function f(x) is defined as f(x) = x^2 - x - 6.
The x-values for which f(x) < 1 can be determined by setting the equation f(x) = x^2 - x - 6 equal to 1 and then solving for x.From here, the equation can be solved for x using the quadratic formula, which gives us x = [7 + sqrt(73)]/2 and x = [7 - sqrt(73)]/2.
Therefore, the x-values for which f(x) < 1 can be expressed in interval notation as (-∞, [7 - sqrt(73)]/2) U ([7 + sqrt(73)]/2, ∞).
(-∞, -3/2] ∪ [-3/4, 1)
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Find the derivative of the function.
F(x) =
x2 et4dt
x
F' (x)= ?
The derivative of the function F(x) =x2 et4dt is e−x4(2x)−e−x2.
The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value). Calculus's core tool is the derivative.
Take the derivative to differentiate anything.
Finding the slope at any point is the same as taking the derivative of a function, so differentiating is just finding the slope.
You may be aware that is typically indicated by either
I'm assuming you mean to determine the derivative of F(x)
F(x)=∫x2xe−t2dt
Let G(x)=∫x0e−t2dt
According to the calculus fundamental theorem
F′(x)=ddx(G(x2)−G(x))
=G′(x2)(2x)−G′(x)
=e−x4(2x)−e−x2.
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-1 > -2(x-4) - 5 (4x - 7 )
Step-by-step explanation:
[tex] - 1 > - 2(x - 4) - 5(4x - 7) \\ - 1 > - 2x + 8 - 20x + 35 \\ - 1 > - 2x - 20x + 8 + 35 \\ - 1 > - 22x + 43 \\ 22x > 43 + 1 \\ 22x > 44 \\ \frac{22x}{22} > \frac{44}{22} \\ x > 2[/tex]
A Middle School is having a fundraiser they sold a total of 300 taco and enchiladas. Tacos sold for $2 and enchiladas sold for $3. They made a total of $780. How many individual tacos did they sell?
120 tacos were sold that day. I have attached the work down below.
Olivia rides her scooter 3/4 mile in 1/3 hour. What constant of proportionality relates the distance she travels to the time
Answer: 9/4 (This a fraction)
Step-by-step explanation:
We do Keep. Switch. Flip aka KSF
we keep 3/4 and change the sign multiplication and flip 1/3 to 3/1
3/4 x 3/1 = 9/4
Note: I tried my best, don't hate me if it's wrong.
PLEASE ANSWER!!! I DONT UNDERSTANT THISJoaquin has $0.75 to purchase a bottle of water from the vending machine. How many different combinations of change can he have if he only has nickels, dimes, and quarters? List the possibilities.