The hawk is closer to the ground after 8 minutes
It is 130 feet closer
How to determine the valuesWe have the equation as;
y = −20x+350. This represents the altitude y in feet of a hawky=−10x+400. This represents the altitude y in feet of the eagleAlso, x represents the descending time in minutes
Now, let's substitute the value of x as 8 minutes in the equations
If x = 8
For equation (1)
y = - 20(8) + 350
expand the bracket
y = - 160 + 350
y = 190 feet
For equation (2)
y = -10(8) + 400
expand the bracket
y = -80 + 400
y = 320 feet
The hawk is closer after 8 minutes
The distance from the ground(eagle) - The distance from the ground(hawk)
320 - 190
130 feet
Hence, the hawk is closer to the ground
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If y=8 when x=4, write the direct variation equation and find y when x=5
HELPP
how do i solve 8x-8=4x
The solution to the algebraic equation 8x - 8 = 4x is x = 2
How to solve algebraic equation?Algebra: This is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
8x - 8 = 4x
Collect like terms8x - 4x = 8
4x = 8
divide both sides by 4x = 8/4
x = 2
Check:
8x - 8 = 4x
substitute x = 2 into the equation
8(2) - 8 = 4(2)
16 - 8 = 8
8 = 8
Other examples of algebraic equation
3x + 5 = 11
substract 5 from both sides
3x = 11 - 5
3x = 6
divide both sides by 3
x = 6/3
x = 2
Therefore, the value of x from the equation is given by 2
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Select the correct answer.
What is the domain of function f?
Answer:
D
Step-by-step explanation:
The domain of this function is all real numbers because you can see that there are no endpoints on the graph. The function is going off of the graph, which means it is continuing aka never-ending.
(-∞,∞) aka all real numbers
Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?
write each choice into the boxes to correctly complete the table. *picture below *
Step-by-step explanation:
in order to be able to decide each case we need the slopes of all involved lines.
and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.
parallel lines have the same slope.
the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.
"neither" is everything else.
our reference line
x + 2y = 6
2y = -x + 6
y = -1/2 x + 3
so, the reference slope is -1/2.
y = -1/2 x - 5 is parallel (same slope).
-2x + y = -4
y = 2x - 4 perpendicular (2/1 vs. -1/2)
-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 neither
x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).
2y = -x - 2
y = -1/2 x - 1
Could someone help quick
The constant of proportionality is known to be the ratio of two proportional values that is said to be in a constant value.
What is the constant of proportionality?The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.
constant of proportionality = 2.5
Given : y = 2.5x.
To find : What is constant of Proportionality in the equation.
Solution : We have given
y = 2.5x.
On comparing with equation of proportionality : y = kx,
Where, k is the constant of proportionality.
On comparing y = 2.5 x by y = kx .
We get k = 2.5
So, constant of proportionality = 2.5
Therefore, constant of proportionality = 2.5
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The value of constant proportionality is 2.5. The constant of proportionality is known to be the ratio of two proportional values that is said to be in a constant value.
What is the constant of proportionality?The constant of proportionality is a term that is defined as the rate or the ratio of two proportional values which are known to be at the same value.
constant of proportionality = 2.5
Given : y = 2.5x.
To find : What is constant of Proportionality in the equation.
Solution : We have given
y = 2.5x.
On comparing with equation of proportionality : y = kx,
Where, k is the constant of proportionality.
On comparing y = 2.5 x by y = kx .
We get k = 2.5
So, constant of proportionality = 2.5
Therefore, constant of proportionality = 2.5
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What is the sum of the zeros of the function y = x² - 9x-10?
Answer: 9
Step-by-step explanation:
Finding the zeros is the same as solving. Then, we will add the two solutions together.
Given:
y = x² - 9x - 10
Solving by Quadradic Formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(-10)} }{2(1)}[/tex]
[tex]\displaystyle x=\frac{9\pm\sqrt{81+40} }{2}[/tex]
[tex]\displaystyle x=\frac{9\pm\sqrt{121} }{2}[/tex]
[tex]\displaystyle x=\frac{9+11}{2},\;\;x=\frac{9-11}{2}[/tex]
x = 10, -1
Adding them together:
10 + -1 = 9
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The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3[tex]x^{2}[/tex]+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3*[tex]3^2[/tex] + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
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A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that: What is the probability that a designer does not prefer red? 1.00 0.77 0.73 0.23
The probability that a designer does not prefer red is 0.77.
Define the meaning of the term probability?Probability is synonymous with possibility. It is a mathematical branch that deals with both the occurrence of something like a random event. The value varies from 0 to one. Probability has just been introduced in mathematics to predict the likelihood of occurrences occurring.Probability (event) = favorable outcome / total outcome
Total primary color designers = 400.
The number of opinions for red = 92
The probability for designer prefer red = 92 /100
The probability for designer prefer red = 0.23
Then, the probability that a designer does not prefer red = 1 - 0.23
The probability that a designer does not prefer red = 0.77
Thus, the probability that a designer does not prefer red color = 0.77.
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The correct question along with table is attached-
In the image below, the measure of angle 3 is equal to the sum of the measures of angle 6 and what other angle?
For the given figure, angle 3 will be equal to angle 2.
According to the question,
We have the following information:
We have a figure where some angles are marked in form of numbers and the measure of angle 3 is equal to the sum of the measures of angle 6.
Now, we know that vertically opposite angles are equal and angle 1 and angle 4 are vertically opposite angles like angle 2 and angle 3.
(More to know: the sum of three angles of a triangle is equal to 180°.)
Hence, for the given figure, angle 3 will be equal to angle 2.
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a survey of 500 high school students was taken to determine their favorite chocolate candy. of the 500 students surveyed, 118 like snickers, 185 like twix, 179 like reese's peanut butter cups, 60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups, and 17 like all three kinds of chocolate candy. how many students like snickers, but not twix or reese's peanut butter cups? a) 118 b) 101 c) 100 d) 18 e) 83 f) none of the above.
There are 18 students who like snickers but not twix or reese's peanut butter cups.
Given, that 500 high school students was taken to determine their favorite chocolate candy.
118 like snickers, 185 like twix, 179 like reese's peanut butter cups,
60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups,
and 17 like all three kinds of chocolate candy.
Let A = Set of students like snickers
B = Set of students like twix
C = Set of students like reese's peanut butter cups
Now, we have to find the number of students like snickers but not twix or reese's peanut butter cups i.e. A - A∩B - A∩C + A∩B∩C
A - A∩B - A∩C + A∩B∩C = 118 - 60 - 57 + 17
A - A∩B - A∩C + A∩B∩C = 135 - 117
A - A∩B - A∩C + A∩B∩C = 18
Hence, there are 18 students who like snickers but not twix or reese's peanut butter cups.
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[tex]x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} \\[/tex]
Answer: [tex]x^{26}[/tex]
Step-by-step explanation:
The [tex]x^2[/tex] appears 13 times. Using the exponent rule [tex]x^a x^b=x^{a+b}[/tex], we get that:
[tex]x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2=x^{2(13)}=x^{26}[/tex]
Select all correct answers. which values are part of the solution set based on the result of the inequality? -4x + 24 < -2x + 2 9.5 -10 11.5 15 10 -3
11.5 and 15 are the values that are part of the solution set of the inequality.
Inequality is defined as relationship between non-equal numbers or expressions. The solution of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
-4x + 24 < -2x + 2
-4x + 2x < -24 + 2
-2x < -22
22 < 2x
11 < x
Hence, the solution set of the given inequality is the set of numbers greater than 11. Among the given choices, 11.5 and 15 are both greater than 11.
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¿Cuál será el monto que se pagará por un préstamo de $200,000 a una tasa de interés del 36% si se negocia pagarlo en 2 años? C = $200,00
El interés junto con el préstamo de $ 200,000 tiene un monto de $ 8,080.
¿Cuánto debe pagar el usuario por un préstamo tras un plazo de dos años?En este problema tenemos el caso de una persona que pide prestado $ 200,000 a una tasa de interés anual de 36 %, cuyo pago se realiza tras un plazo de dos años de realizarse el préstamo. Asumimos, que la deuda se genera por interés compuesto, esto es, un interés acumulativo. El interés compuesto es descrito mediante la siguiente fórmula:
I = C' · [(1 + r / 100)ⁿ - 1]
Donde:
C' - Dinero prestado, en unidad monetaria.I - Intereses a pagar, en unidad monetaria.r - Tasa de interés, en porcentaje.n - Número de plazos, en años.Si sabemos que C' = 200,000, r = 36 y n = 2, entonces el interés a pagar al final del plazo es:
I = 200,000 · [(1 + 2 / 100)² - 1]
I = 8080
El interés a pagar es $ 8080, además del préstamo de $ 200,000.
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Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins. How much did
Mrs. Smith pay for 30 muffins?
Explain your answer
a) $3
b) $10
c) $15
d) $30
Which algebraic expression represents “the apples were divided equally into seven boxes”?
Answer:
Step-by-step explanation:
a=apples
a/7
Here is a parallelogram.
Work out the value of x.
x cm
Area = 12 cm²
2.5 cm
The value of x for the given parallelogram is 4.8 cm.
According to the question,
We have the following information:
We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.
(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)
We know that the following formula is used to find the area of the parallelogram:
Area of parallelogram = Base*height
x*2.5 = 12
x = 12/2.5
x = 4.8 cm
Hence, the value of x is 4.8 cm.
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prove that cos A - sin A +1 / cos A + sin A-1 = cosec A+ cot A
(Pls help, urgently needed)
We have to prove (cosA−sinA+1)/(cosA-sinA-) = cotA+cosecA using Trigonometric Functions
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
L.H.S=(cosA−sinA+1)/(cosA-sinA-)
dividing by sinA
=cotA+1−cosecA/cotA−1+cosecA
=(cotA−1+cosecA)(cotA+1+cosecA)/(cotA+1)²-cosec²A
=(cotA+cosec)²-1/2cotA
=cotA+cosecA(R.H.S)
Hence the above trigonometric function is proved.
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lin rode he skateboard 3 miles in 9 minutes. she rode at a constant speed. how far did she go if she only went for 1 minute?
First, break down the problem.
Someone can skate 3 miles in 9 minutes.
What is their speed? How far would they go if they did that speed for 1 minute?
To find speed given time and distance, divide distance by time.
3/9 = 1/3
Speed is 1/3 mile per minute
if they travel one minute, they will travel 1/3 of a mile
hope this helps :)
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A 3−4−5 right triangle is the base of a prism that is 10 inches tall. How many cubic inches of sand could fill the solid?
Answer:
60 [tex]in^{2}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Base:
[tex]\frac{lengthxwidth}{2}[/tex]
[tex]\frac{3x4}{2}[/tex]
6 multiply this by the height of 10
Volume = 60 [tex]in^{3}[/tex]
Answer:
60 cubic inches of sand-------------------------------
The volume of the prismV = Bh, B- area of base, h- heightArea of baseB = 1/2×3×4 = 6 in²Find the volumeV = 6×10 = 60 in³help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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The number of bicycles that must be manufactured to minimize the cost of 250 and the minimum cost is $11,500.
In the given question,
The cost C in dollars of manufacturing x bicyles at a production plant is given by the function shown below;
C(x) = 3x^2-1500x+199,000
(a) In the given question we have to find the number of bicyles that must be manufactured to minimize the cost.
The given function is
C(x) = 3x^2-1500x+199,000
To find the maximum or minimum value we firstly find the value of f'(x).
C'(x) = 6x-1500
Now put f'(x)=0
6x-1500=0
Add 1500 on both side, we get
6x=1500
Divide by 6 on both side we get
x=250
Hence, the number of bicycles that must be manufactured to minimize the cost of 250.
(b) Now finding the value of function at x=250
C(250) = 3(250)^2-1500*250+199,000
C(250) = 3*62,500-375,000+199,000
C(250) = 187,500-375,000+199,000
C(250) = 11,500
The minimum cost is $11,500.
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please help needed very soon thanks
Answer:
2 3/5
Step-by-step explanation:
First, change all terms to improper fraction
We have;
13/2÷5/2
13/2 ×2/5
13/5
Change to mixed fraction, we have;
2 3/5
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The simplest simplified form of the given expression is 3 9/10.
First, let us understand the mixed number;
A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the appropriate fraction that results in the mixed number.
Change all the given terms to improper fractions, we will get;
6 1/2 = (6 * 2 + 1) / 2 = 13 / 2
1 2/3 = (1 * 3 + 2) / 3 = 5 / 3
We are given;
13/2 ÷ 5/3
= 13/2 × 3/5
= 39/10
Change to mixed fraction, we will get;
39/10 = 3 9/10
Thus, the simplest simplified form of the given expression is 3 9/10.
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what is the distance between point P (-5,7) and point Q (6,7) ?
Answer:
11
Step-by-step explanation:
Distance formula is square root of (x2-x1)^2+(y2-y1)^2
square root of (6-(-5))^2+(7-7)^2
square root of (11)^2+(0)^2
square root of 121+0
square root of 121
11
distance is 11
The points K, L, M and N all lie on the same line segment, in that order, such that the ratio of KL:LM:MNKL:LM:MN is equal to 2:3:1.2:3:1. If KN=54,KN=54, find MN.MN.
The length of the line segment MN given that the ratio of KL:LM:MN = 2:3:1 is; 9
How to carry out partitioning of line segment?
We are told that the points K, L, M and N all lie on the same line segment.
Since the points lie on the same line segment, then it means that they are collinear points.
We are told that the ratio of the segments, KL:LM:MN = 2:3:1.
This means that we can find the length of MN since we are also given the total length of the whole segment, KN = 54.
Length of MN = (Individual ratio of MN ÷ the total ratio value of the 3 given segments) × length of the whole segment
Individual ratio of MN = 1
Total ratio value of the 3 given segments = 2 + 3 + 1 = 6
Length of whole segment, KN = 54
Length of MN = (1/6) * 54
Length of MN = 9
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ZABC is bisected by ray BD. m2 ABC = 80°. What is mZ ABD?
OA. 50⁰
OB. 40°
O C. 100⁰
OD. 75⁰
The require angle, angle ABD = 40 degrees
What do you mean by angle bisector ?A bisector has two primary characteristics:
Any point along an angle's bisector is equally - spaced from the angle's sides.
The angle bisector divides the other side of a triangle in proportion to the other two sides.
Given : ∠ ABC is bisected by a ray BD
∠ ABC = 80°
Since the angle ABC is being bisected this means that the angles are equal
Let the bisected angle be x
thus we can write it mathematically as
x + x = 80
2x = 80
dividing both the sides as 2 we would get
x = 40 degrees
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30 POINTS IF ANYONE GETS THIS RIGHT AND BRAINLSIT.
1st image
angle 5 is 31 degrees alternate interior angles
2nd image
angle8=angle9, alternate interior angles
The sum of the two numbers is -34 and their difference is 5. Find the numbers.
Answer:
y = -19.5, x = -14.5
Step-by-step explanation:
We can form equations from this statement:
x + y = -34
x - y = 5
If we rearrange the second equation, we get:
x - y = 5
x = 5 + y
Then, we substitute this value into the other equation to get the answer.
x + y = -34
5 + y + y = -34
Then solve:
2y + 5 = -34
2y = -39
so, y = -19.5
now we can find x with y:
-19.5 + x = -34
-34 + 19.5 = x
x = - 14.5
Find the product. (a2)(2a3)(a2 â€"" 8a 9) 2a7 â€"" 16a6 18a5 2a7 â€"" 16a6 â€"" 18a5 2a8 â€"" 16a7 18a6 2a12 â€"" 16a7 18a6
Find the missing exponent. 2 =32
Answer:
5
Step-by-step explanation:
The only way I know how to go about this is to multiply 2 until it becomes 32
2x2=4
4x2=8
8x2=16
16x2=32
Now just count how many 2 I used and I used 5 so the missing exponent is 5
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Which is equivalent to 3√8x?
It is equivalent to 8^x/3
What is equivalent equations?OBJECTIVES FOR EQUALITY EQUATIONSAfter finishing this section, you need to be able to:Sort an equation into a conditional or an identity category.Mentally solve simple equations.Check to see if some equations are equal.A mathematical equation is a statement that two numerical expressions are equal.Equations go into one of two categories.acc to our question-
to write a square root into fraction. To do that, you just have to apply the formula :
x^power/root
Then, here it gives . 8^x/3
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