Answer:
16
Step-by-step explanation:
Consider the system of equations in standard form. x + 4y = 26, 3x – 4y = 30 What is the best window range for the x-values to determine the solution? What is the best window range for the y-values to determine the solution? What is the exact solution to the system of equations?
Answer: x + 4y = 26 Slope = -0.500/2.000 = -0.250
x-intercept = 26/1 = 26.00000
y-intercept = 26/4 = 13/2 = 6.50000
Step-by-step explanation: x + 4y = 26
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.500/2.000 = -0.250
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+4y-26 = 0 and calculate its properties
Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000
y-intercept = 26/4 = 13/2 = 6.50000
When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000
x-intercept = 26/1 = 26.00000
3x – 4y = 30 Slope = 1.500/2.000 = 0.750
x-intercept = 30/3 = 10
y-intercept = 30/-4 = 15/-2 = -7.50000
Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000
y-intercept = 30/-4 = 15/-2 = -7.50000
y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000
x-intercept = 30/3 = 10
Answer:
What is the best window range for the x-values to determine the solution?
x-min=-10, x-max = 15
What is the best window range for the y-values to determine the solution?
y-min= 0, y-max = 5
What is the exact solution to the system of equations?
(14, 3)
in hypothesis testing, the tentative assumption about the population parameter is group of answer choices
The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.
Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.
The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.
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(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each _____.
(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each vertex of the triangle.
The Circumcenter Theorem is a fundamental concept in geometry that states that the circumcenter of a triangle is equidistant from each of its vertices. In other words, the circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
The circumcenter plays a crucial role in the geometry of triangles, as it is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.
The circumcircle has several important properties, such as the fact that the length of the circumcircle's circumference is equal to twice the length of the triangle's longest side.
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please help lol1 (4.3) + 23 + 3 = ???
Answer:
Step-by-step explanation:
Answer:
30.3
Step-by-step explanation:
(20 + 3) + (4 + 0.3) + (3) 20 + (3 + 4 + 3) + (0.3)20 + 10 + 0.330.3Probability Distributions
This makes sense because the formula terms Probability Distributions are built upon one another, allowing us to utilise repeated reasoning to determine the value of Cn for any value of n.
What is inductive reasoning and deductive reasoning?Making generalisations using specific observations or data is known as inductive reasoning. Scientific research frequently bases ideas on patterns or trends that have been noticed. On the other hand, deductive reasoning entails applying broad concepts or rules to come to specific conclusions. It is frequently employed in logic and mathematics, where the premises are known to be valid and conclusions are reached by logical reasoning.
Using repeated reasoning we have:
C₁ = n = 1
C₋₁ = n = 1
C = 1
Cₙ in terms of C, C₁, and C₋₁:
Cₙ = 2C + C₁ + 3C₋₁
Substituting in the values we have for n = 1:
C₂ = 2(1) + 1 + 3(1) = 6
Now using n = 2, we have:
C₁ = n = 2
C₋₁ = n - 1 = 1
C = 1
Substituting in the formula again:
C₃ = 2(1) + 2 + 3(1) = 7
Now, for n = 3:
C₁ = n = 3
C₋₁ = n - 1 = 2
C = 1
C₄ = 2(1) + 3 + 3(2) = 11
This makes sense because the formula's terms are built upon one another, allowing us to utilise repeated reasoning to determine the value of Cn for any value of n.
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complete the missing parts of the table for the following function y=4x
Answer:
4, 64
Step-by-step explanation:
y = \(4^{1}\) = 4
y = \(4^{3}\) = 64
the spinner twice.
What is the
probability that
both spins are
red?
P(red, red) -
[?] show your affswer as
a fraction in lowest
terms. Enter the
numerator.
Enter
The probability that both spins are red is 1/16
Calculating the probability that both spins are red?from the question, we have the following parameters that can be used in our computation:
Sections = 8
Red sections = 2
So, we have
P(Red) = 2/8
Simplify
P(Red) = 1/4
Using the above as a guide, we have the following:
P(Red, Red) = 1/4 * 1/4
Evaluate the products
So, we have
P(Red, Red) = 1/16
Hence, the probability that both spins are red is 1/16
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ERROR ANALYSIS Describe and correct the error in telling whether the two figures are congruent.
The figures are not congruent as their corresponding interior angles are not equal.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given diagram we can see that the first figure is a square having side length 6 units each and all the interior angles measures 90° each.
Now the second figure is a rhombus which has side lengths of 6 units each but the interior angles are not of 90° but are equal to the opposite interior angles.
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10
Tom's Bait and Tackle sold 128,207 live worms in April and 102,578 in May. To the nearest thousand, how many worms did
Tom's Bait and Tackle sell in April and May?
A 231,000
B 230,000
C 230,500
D 230,580
Answer: A 231,000
Step-by-step explanation:
Write the equation in vertex form given the vertex (4, 7) and passing through the point (0, 10).
Answer:
f(x) = ³/₁₆ (x - 4)² + 7Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (4, 7) is
f(x) = a(x - 4)² + 7
passes through the point (0, 10) means if x=0 then f(x)=10
10 = a(0 - 4)² + 7
10 -7 = a(-4)² + 7 -7
3 = 16a
a = ³/₁₆
Therefore the equation of parabla is:
f(x) = ³/₁₆ (x - 4)² + 7
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
Longitud de circunferencia si diámetro es 32cm
Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.
How to solve for the circumferenceLa fórmula para calcular la longitud de una circunferencia es:
Longitud = π * Diámetro
En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:
Longitud = π * 32 cm
El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.
Por lo tanto, la longitud de la circunferencia sería:
Longitud ≈ 3.14159 * 32 cm
Calculando el resultado:
Longitud ≈ 100.53096 cm
Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.
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What is the value of the expression -218 - 72 - (-5)?
Answer:
The answer is -285
Step-by-step explanation:
A caterer charges a flat fee of $345 in addition
to $45 per person to serve food at a family
reunion.
Write an equation to represent the total cost of
hiring the caterer and the number of people
attending the family reunion?
Answer: y = 45x + 345
Step-by-step explanation:
So y is the total cost of hiring the caterer and the number of people attending the family reunion.x represents how many people attend. It is $45 per person, so it would be 45 times the number of people attending, or 45x.345 is the extra amount that is added on and must be paid.So...the equation is y = 45x + 345.Hope this helps!!! :)
what is the solution of this equation? 6x-10=4x+5
Answer: x=
7.5
Step-by-step explanation:
Answer:7.5
Step-by-step explanation:
move all unknowns to one side by either adding or subtracting from both sides
so, subtract 4x from both sides and you get 2x-10=5
now mode -10 to the other side by adding 10 to both sides. you get 2x=15
divide both sides by 2 to get x by itself
you get x=7.5
help meeeeeeeeeeeeeeeeeeeeeeee
Answer:
I think the answer is 1.392♀️
the problitiy is that a sweet stawberry flavor is 0.8 what is the problity is that a sweet is orang flavor what is anwer
Answer:
\(\huge\boxed{Answer\hookleftarrow}\)
Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.
____________________
P (strawberry flavored sweet) = 0.8
P (orange flavored sweet) = ?
____________________
Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.
____________________
So,
P (orange flavored sweet) = 1 - P (strawberry flavored sweet)
P (orange flavored sweet) = \(\large\bold{1.0 - 0.8}\)
P (orange flavored sweet) = \(\large\bold{0.2}\)
____________________
✐ The probability that the sweet is orange flavored is 0.2
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
what is 7 1/2-3 5/6 and what is the answr to the question
Step-by-step explanation:
7 1/2 ~ 15/2
3 5/6 ~ 23/6
15 x3 45
2 x3 6
45/6 - 23/6=22/6
22/6= 3 2/3
hope it helps!
Worth a 100 points!
The question is in the attachment below.
Answer:
B. 7.5
Step-by-step explanation:
Let's solve this problem using similar triangles.One right triangle is formed by:
the height of the streetlight (i.e., 18 ft),the distance between the top of the streetlight and the top of the tree's shadow (i.e., unknown since we don't need it for the problem),and the distance between the base of the streetlight and the top of the tree's shadow (i.e., 15 ft between the streetlight's base and the tree's base + the unknown length of the shadow)Another similar right triangle is formed by:
the height of the tree (i.e., 6 ft),the distance between the top of the tree and the top of its shadow (i.e., also unknow since we don't need it for the problem),and the distance between the tree's base and the top of it's shadow (i.e., the unknown length of the shadow).Proportionality of similar sides:
Similar triangles have similar sides, which are proportional.We can use this proportionality to solve for s, the length of the tree's shadow in ft.First set of similar sides:
The height of the streetlight (i.e., 18 ft) is similar to the height of the tree (i.e., 6 ft).Second set of similar sides:
Similarly, the distance between the base of the streetlight and the top of the tree's shadow (i.e., 15 ft + unknown shadow's length) is similar to the length of the tree's shadow (i.e., an unknown length).Now we can create proportions to solve for s, the length of the shadow:
18 / 6 = (15 + s) / s
(3 = (15 + s) / s) * s
(3s = 15 + s) - s
(2s = 15) / 2
s = 7.5
Thus, the length of the shadow is 7.5 ft.
Check the validity of the answer:
We can check our answer by substituting 7.5 for s and seeing if we get the same answer on both sides of the equation we just used to solve for s:
18 / 6 = (15 + 7.5) / 7.5
3 = 22.5 / 7.5
3 = 3
Thus, our answer is correct.
Answer:
B. 7.5
\(\hrulefill\)
Step-by-step explanation:
The given diagram shows two similar right triangles.
Let "x" be the base of the smaller triangle. Therefore:
The smaller triangle has a base of x ft and a height of 6 ft.The larger triangle has a base of (15 + x) ft and a height of 18 ft.In similar triangles, corresponding sides are always in the same ratio. Therefore, we can set up the following ratio of base to height:
\(\begin{aligned}\sf \underline{Smaller\;triangle}\; &\;\;\;\;\;\sf \underline{Larger\;triangle}\\\\\sf base:height&=\sf base:height\\\\x:6&=(15+x):18\end{aligned}\)
Express the ratios as fractions:
\(\dfrac{x}{6}=\dfrac{(15+x)}{18}\)
Cross multiply and solve for x:
\(\begin{aligned}18x&=6(15+x)\\\\18x&=90+6x\\\\18x-6x&=90+6x-6x\\\\12x&=90\\\\\dfrac{12x}{12}&=\dfrac{90}{12}\\\\x&=7.5\end{aligned}\)
Therefore, the shadow of the tree is 7.5 feet long.
(2x-18) What is X solve for X
Hey there!
ANSWER: \(2(x-9)\)EXPLANATION:\((2x-18)\)
To solve, we will need to factor 2x - 18.
\(2x-18\\2(x-9)\text{(ANSWER)}\)
Hope this helps!
\(\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}\)
I need help asap im having a test on it
Answer:
Triangle ABC is congruent to triangle DFE.
4) If f(x)= x/4 and g(x) = 3/2, Find the End Behavior of (f - g) (x).
Answer: The end behavior of (f - g)(x) can be found by analyzing the end behavior of f(x) and g(x).
As x approaches infinity, both f(x) and g(x) approach some constant value. Specifically, f(x) approaches infinity/4 = 0 and g(x) approaches 3/2.
Therefore, the end behavior of (f - g)(x) as x approaches infinity is:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = x/4 - 3/2
(f - g)(x) = (x - 6)/4
As x approaches infinity, the numerator of (f - g)(x) (x - 6) will approach infinity, while the denominator (4) will remain constant. Therefore, the end behavior of (f - g)(x) as x approaches infinity is:
(f - g)(x) approaches infinity/4 = 0
Similarly, as x approaches negative infinity, both f(x) and g(x) approach some constant value. Specifically, f(x) approaches negative infinity/4 = 0 and g(x) approaches 3/2.
Therefore, the end behavior of (f - g)(x) as x approaches negative infinity is:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = x/4 - 3/2
(f - g)(x) = (x - 6)/4
As x approaches negative infinity, the numerator of (f - g)(x) (x - 6) will approach negative infinity, while the denominator (4) will remain constant. Therefore, the end behavior of (f - g)(x) as x approaches negative infinity is:
(f - g)(x) approaches negative infinity/4 = 0
So, the end behavior of (f - g)(x) is that it approaches 0 as x approaches either infinity or negative infinity.
Step-by-step explanation:
Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)
The simplest form of the given expression is 5x^3-5x^2.
We have given that
\(2x^3 - x^2 + 3 (x^3 - 4x^2)\)
We have to determine the simplest form of the given expression.
What is the distributive property?
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
\(2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\\)
Add like terms we get,
Therefore we get,
\(=5x^3-5x^2\)
Therefore the simplest form of the given expression is 5x^3-5x^2.
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The density curve for a continuous random variable x has which of the following properties
a. the probability of any event is the area under the density curve and above the values of X that make up the event
b. the total are under the density curve for X must be exactly 1
c. the probability of any event of the form x= constant is 0
d. all of the above
Out of the choices provided, the density curve for a continuous and a random variable ''x'' has all the properties, which have been listed above. Therefore, the option D holds true.
A density curve can be referred to or considered as the smooth curve, which is used for the purpose of representation of shape of a variable's distribution, which is easily identified through the properties that it contains. A density curve can be used for the purpose of graphical representation, such as a histogram.
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What is the equation of this trend line? Enter answers by filling in the box
Answer:
N= 110 M+ 55?
I'm just trying my best to help you
Consider the economy whose data appear in the table below. Working-age population 100,000 Labor force 60,000 Unemployed 12,000 Instructions: Round your answers to one decimal place.
a. The unemployment rate is ___%.
b. The labor-force participation rate is ___ %.
a. The unemployment rate is 20%.
b. The labor-force participation rate is 60%.
According to the question,
Working age population- 100,000
Labour force - 60,000
Unemployed - 12000 instructions
a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:
Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100
When an unemployed population is 12,000 and the labor force is 60,000,
the unemployment rate is = \(\frac{12000}{60000}\) × 100 = 20%
b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:
Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100
When the labor force is 60,000 and the working-age population is 100,000
Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%
So, a. The unemployment rate is 20%.
b. The labor-force participation rate is 60 %.
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the midpoints of the adjacent sides of a square are connected to form a new square. what is the number of inches in the perimeter of the new square if the perimeter of the original square is 16 inches? express your answer in simplest radical form.
Therefore, \(8\sqrt{2}\) number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
Given: The midpoints of the adjacent sides of a square are connected to form a new square. The perimeter of the original square is 16 inches.
As perimeter is 16 in, so the side is 4 in.
Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.
\((2 in)^2 + (2 in)^2 = s^2\\s^2 = 8 in^2\\s = 2\sqrt{2} in\)
Therefore,
Perimeter = 4s
\(P = 4(2\sqrt{2}) = 8\sqrt{2} in\)
Therefore, \(8\sqrt{2}\) number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
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2{x+8}+5{x-1}=60 answer
Answer:
x=7
Step-by-step explanation:
2{x+8}+5{x-1}=60
Distribute
2x+16+5x-5 = 60
Combine like terms
7x +11 = 60
Subtract 11 from each side
7x+11-11 = 60-11
7x = 49
Divide each side by 7
7x/7 = 49/7
x = 7
I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)
Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Step-by-step explanation:
The diameter of a circle is double its radius.
Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.
Next, convert this to meters:
\(24 * \frac{0.305}{1} = 7.32\)
The diameter of pool A is 7.32 meters.
The diameter of pool B is 7.5 meters.
The diameter of pool B is greater.
You can calculate the circumference of a circle by using this formula:
\(C = 2\pi r\), where r is the radius.
Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:
\(C = 7.5\pi \\\\C = 23.561\)
Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.
Do the same thing for pool A:
\(C = 7.32\pi \\\\C = 22.996\)
Circumference for pool A rounds to 23 meters.
Answer:
the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest
\dfrac{1}{2} - 60\% - 25\% =
2
1
−60%−25%
Answer:
−0.35
Step-by-step explanation: