Answer:
The vertex is (-4, -9)
Step-by-step explanation:
The two roots are located at x = -7 and x = -1, which come from (x + 7) and (x + 1). The axis of symmetry is located halfway between these values, at x = -4. This axis passes through the vertex. The y-value at the vertex is (-4 + 7)(-4 + 1), or -9. The graph is a parabola that opens up. The vertex is (-4, -9).
PLEASE HELP!!!!
Pls answer all questions and show the work!!
Read the link attached.
I have written it down on the word doc
What does each of these represent in this situation (0,0),(1,55), and (5,275
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
The length of the spine will be;
⇒ 48.2 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A kite is shaped like an isosceles triangle.
Now,
Since, A kite is shaped like an isosceles triangle.
Hence, Two sides of a triangle is equal to each other.
Let the length of the spine = x
So, We can formulate by the Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 62² = (78/2)² + x²
⇒ 3844 = 39² + x²
⇒ 3844 = 1521 + x²
⇒ 3844 - 1521 = x²
⇒ 2323 = x²
⇒ x = √2323
⇒ x = 48.2 cm
Thus, The length of the spine = 48.2 cm.
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N 2003, an organization surveyed adult Americans and asked about a certain war, "Do you believe the United States made the right or wrong decision to use military force?" Of the adult Americans surveyed, stated the United States made the right decision. In 2008, the organization asked the same question of adult Americans and found that believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions, .
Complete question :
In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions
Answer:
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
Step-by-step explanation:
Given :
p = x / n
p1 = 1086/1508 = 0.72
p2 = 618/1508 = 0.41
Confidence interval :
(p1 - p2) ± margin of error
Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2
Zcrit at 90% = 1.645
1 - p1 = 1 - 0.72 = 0.28
1 - p2 = 1 - 0.41 = 0.59
MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508
MOE = 1.645 * 0.0171492 = 0.0282105
(p1 - p2) = (0.72 - 0.41) = 0.31
Lower boundary = 0.31 - 0.0282 = 0.2818
Upper boundary = 0.31 + 0.0282 = 0.3382
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence
Answer: a(n)=3^n as an infinite sequence
I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.
a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}
Which equals 3^n = {3, 9, 27, 81, 243...}
please help!!!! Thank you!!
Answer:
10
Step-by-step explanation:
please help me
If 6 times a number = 3 times the same number,
What is that number?
Answer:
I'm pretty sure it's either 27, or 12.
Step-by-step explanation:
The diameter of a circular pond 63 m. Find the cost of fencing the edge of the pond if the fence costs $12 per meter. (WITH STEPS)
Answer:
$37,392
Step-by-step explanation:
A = r^2 times Pi. 63 diameter = 31.5. Pi = 3.14 A = 31.5^2(992.25) = 3,115.665.
If fence cost $12 per meter, 3,115.665 is rounded to 3,116. 3,116 times 12 = $37,392
If z = 3cis30°, z3 in rectangular form is _____ +_____ i.
1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms?
In response to the question, we may say that As a result, the orangutan's expression mass in kilogrammes is roughly 64.55 kg.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To convert pounds to kilogrammes, divide the pound weight by the conversion ratio of 2.2.
Hence, to calculate the orangutan's mass in kilos, do the following:
Divide the orangutan's weight in pounds by the conversion ratio of 2.2:
142 pounds divided by 2.2 is 64.54545... kilos (rounded to the nearest hundredth)
As a result, the orangutan's mass in kilogrammes is roughly 64.55 kg.
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Which steps will generate an expression equivalent to 17(x+5)?
MARK BRAINLIEST
Answer:
multiply 17x5=85,85+5=90 so aswer is 90
Step-by-step explanation:
Answer:
17+85 is the answer that I got
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer: 5$ for 52 days
Step-by-step explanation: (5 x 52) + 90 = 350
The backyard of a new home is shaped like a trapezoid with a height of 46 ft and bases of 78 ft and 111 ft. What is the cost of putting sod on the yard, if the landscaper charges $0.21 per square foot for sod?
The sod will cost $
Answer:
$899.54
Step-by-step explanation:
To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:
Area = (1/2) * h * (b1 + b2)
where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.
Substituting the given values, we get:
Area = (1/2) * 46 ft * (78 ft + 111 ft)
= (1/2) * 46 ft * 189 ft
= 4274 ft^2
To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:
Cost = 4274 ft^2 * $0.21/ft^2
= $899.54
So the cost of sod for this yard will be $899.54.
GIVING BRAINLIEST POINTS Graph the parabola: (x+2)^2= -12(y-1)
Answer:
did you type the right question give me the correct one and i will help
Step-by-step explanation:
omg guyzzz where r u
Answer:
we are here, where have you been...???
Answer:
im at ur frien joe's house
Step-by-step explanation:
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.
Answer:
90
Step-by-step explanation:
40% is for 36
(100*36)/40
Please help me!! Find the area of the circle:)
Answer:
2.46
Step-by-step explanation:
Answer:
[tex]A=283.528736986[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]A=\pi \times r^2[/tex]
Remember that the radius is half the diameter, we are given the diameter which is 19, which means we need to find the radius:
[tex]d=19[/tex]
[tex]19\times\frac{1}{2} =9.5[/tex]
[tex]r=9.5[/tex]
Substitute and solve:
[tex]A=\pi \times9.5^2[/tex]
[tex]9.5^2=9.5\times9.5=90.25[/tex]
[tex]\pi \times90.25=283.528736986[/tex]
[tex]A=283.528736986[/tex]
Since the question doesn't say to round the area is "283.528736986."
Hope this helps.
Rewrite in simplest rational exponent form. Show each step of your process
The final answer is 4x, which is the simplest form of expression.
What is the rational exponent?
A rational exponent is an exponent that is in the form of a ratio of two integers, such as a/b where a and b are integers and b is not equal to zero.
To rewrite the expression in simplest rational exponent form, we can first simplify the radicals and then combine any like terms. Here are the steps to simplify the given expression:
4√x* √x = 4 * 1 √x * √x = 4 * x^(1/2) * x^(1/2) = 4 * x^( (1/2)+(1/2) ) = 4 * x^(1)
x^(1) = x
So, the expression in simplest rational exponent form is 4x
x * 4x = 4x
Notice that 4 and x are in the same radical which means 4 is a coefficient of x.
Therefore, 4√x * √x can be written as 4x, which is in the simplest form.
hence, the final answer is 4x, which is the simplest form of expression.
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What are the 3 types of solutions for systems?
The three types of solutions for systems are:
Consistent solutionsInconsistent solutionsDependent solutionsA consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.
A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.
In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.
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What is the value of k in the quadratic polynomial 3x2 2kx 3 if X − 12 is one of the zeroes of it?
The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
What is a quadratic equation?
An equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Given: 3x² + 2kx + 3 = 0
Comparing with standard quadratic equation ax² + bx + c = 0
a = 3 b = 2k c = 3
Given that the roots of the equation are real and equal
Thus, D = 0
Discriminant D = b² – 4ac = 0
(2k)² – 4.3.3 = 0
4k² – 36 = 0
4k² = 36
k² = 9 taking square root on both sides
k = 3 or k = – 3
Hence, The values of k are 3, – 3 for which roots of the quadratic equation are real and equal.
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HELP PLEASE !!!
What is the measure of ‹1?
Answer:
<1 = 114
Step-by-step explanation:
<1 = <7 because they're alternate exterior angles.
Since <7 is 114, <1 is also 114.
Is infinity times 0 still 0?
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
0 * 0 * 0 * 0= 0
Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."
The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."
Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.
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What value of x satisfies the equation − 3 4x − 5 )= 2 1 − 5x?
For the given expression, x has a value of 6.5.
What are expressions?A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.
A number is 6 times larger than the other number, x, by a factor of 2.
The equation x/2 + 6 in mathematics represents this claim.
Here, we have the equation:
-3(4x - 5) = 2(1 - 5x)
Find the value of x by solving the expression:
-3(4x - 5) = 2(1 - 5x)
-12x + 15 = 2 - 10x
-2x = -13
x = -13/-2
x = 13/2
x = 6.5
Therefore, for the given expression, x has a value of 6.5.
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Correct question:
What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?
A rectangular tissue box is 52
5
inches long, 4 inches wide, and 1 1
4
inch tall. What is the
volume of the tissue box? Round to the nearest tenth.
hi add me now or else
what type of shape is this?
Bookwork code: E13 Work out the equation of the straight line shown below. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. 7 4- 3. 2- 1- -6 -5 -4 -3 -2 -1.0 -1- --2- --3- -4- -5- Calculator not allowed T 2 3 4 5 6 X
Answer:
y = -5x +4
Step-by-step explanation:
You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).
SolutionThe graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...
m = rise/run = -5/1 = -5
The y-intercept is the value of y where the line crosses the y-axis:
b = 4
These values go into the point-slope equation:
y = mx +b . . . . . . line with slope m and y-intercept b
y = -5x +4 . . . . . . line with slope -5 and y-intercept 4
What are the 3 types of polynomials and how many terms does each one have?
Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.
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Chicken is on sale for $2.29 per lb at the grocery store. If Jerry buys 3 lbs, what would be his final cost including 6% tax?
Please help thank you
Estimate how many times larger 6.1 • 10^7 is than 2.1 • 10^-4
Answer:
Estimation: 300 Billion times bigger
Actual: 290 Billion times bigger
Step-by-step explanation:
Lets group the coefficients together and the exponents together.
[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]
We can round 6.1 to 6.
We can round 2.1 to 2.
[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]
[tex](3)(\frac{10^7}{10^{-4} })[/tex]
Subtract the exponent from the denominator from the exponent of the numerator.
[tex](3)(10^{7-4*1} )[/tex]
[tex](3)(10^{7+4} )[/tex]
[tex](3)(10^{11} )[/tex]
[tex]3*10^{11}[/tex]
[tex]10^{11}[/tex] is 100 billion.
3 times 100 billion is 300 billion.