Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet
Answer:
4 feet
Step-by-step explanation:
Use pythagorean theorem to solve the center height of Sam’s tent.
The center height of the triangle or Sam's tent is given by AB = 4 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is BC = 3 feet
The hypotenuse of the triangle is AC = 5 feet
And , the triangles share a common height
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the height of the triangle AB = √ ( AC )² - ( BC )²
On simplifying , we get
The height of the triangle AB = √ ( 25 ) - ( 9 )
The height of the triangle AB = √16
The height of the triangle AB = 4 feet
Hence , the height of the triangle is 4 feet
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Select all ratios that are in their simplest form. A 9:7 B 14:3 C 12:21 D 30:29 E 28:30
Answer:
Step-by-step explanation:
9/7, 14/3, 4/7, 30/29, 14/15
solve 0.06*0.7+0.03=0.06*(-0.2)+0.03
HELP Which of the following is the range of the function based on the input-output table below?
Answer:
The correct answer is :
Range is: {1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
We are given here input-output table.
Let us define the domain and range of a function.
Domain is the set of values that can be given as input to the function.
and
Range is the set of values that comes out as the output of the function.
For example:
[tex]y = f(x) = 2x[/tex]
The domain of the function above is the set of values of x.
The range of function is the value of y or f(x).
For above example, range can be set of all Real numbers i.e. R.
Range for the above example will also be set of all Real numbers i.e. R.
From the given table in the question statement:
Input or Domain = {10,20,30,40,50,60,70}
Output or Range = {1000,1100,1200,1300,1400,1500,1600}
Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.
Answer:
m = -5, 0
Step-by-step explanation:
Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.
Help!!!!!!……………………………………………
Answer:
Step-by-step explanation:
The answer is d)
y= 0.0018(x-105)^2 +7
binomial numbers, Stifel
Answer:
binomiales, números combinatorios o combinaciones son números estudiados en combinatoria que corresponden al número
Step-by-step explanation:
7. Express as a fraction in simplest form: 4 to 36
Answer:
4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9
Answer:
1/9
Step-by-step explanation:
4:36 as a ratio can be written in the form of a fraction.
4/36
Simplify the fraction using the highest common factor.
4÷4/36÷4
1(4)/9(4)
The 4's cancel.
1/9
What are the roots of the quadratic equation below 3x2+15x-5=0
Answer:
AStep-by-step explanation:
[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Answer:
0.17 people / sq ft
Step-by-step explanation:
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Density of people in pool is number of people per square foot.
area = length * width = 15 ft * 8 ft = 120 ft^2
density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft
Answer:
0.17 people / sq ft
Step-by-step explanation:
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitational pull of the earth is about 16 feet per second squared. wants to find how many seconds,t, it will take the object to hit the ground. Match each expression with the correct equation that models this situation or solution.
Answer:
The first listed equation is the correct equation to solve
The correct answer is: t = 5 seconds
Step-by-step explanation:
Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :
[tex]y(t)=-16\,t^2+ 0 \,t +400[/tex]
and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:
[tex]0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0[/tex]
which solving for "t" becomes:
[tex]16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec[/tex]
So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.
That is: t = 5 seconds
correct equation: -16t^2 + 0t + 400 = 0
solution: 5 seconds
i just did the workbook and got it correct!
Make L the subject of the formula T=2π√L\G
Answer:
[tex]L=(\frac{TG}{2\pi })^2[/tex]
Step-by-step explanation:
[tex]T=2\pi \sqrt{L}/G[/tex]
[tex]TG=2\pi \sqrt{L}[/tex]
[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]
[tex](\frac{TG}{2\pi })^2 =L[/tex]
Answer:
[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Which of the following values are in the domain of the function graphed below?check all that apply
Answer:
a,c, from l to be a great idea to be at the house by the way the time to do it on a hard time that I can help with the rest of the cause you found it on my phone and it do not have a circunr on my computer and
Step-by-step explanation:
yourwelcome
Answer: 7,0,2,3
Step-by-step explanation: nodadnotoday on Spotify
Help meh pleassssssee :
Answer:
x-5
Step-by-step explanation:
f(x) = 5x-4
g(x) = 4x+1
Subtracting big equations
(f-g)(x) = 5x-4-4x-1
(f-g)(x) = x-5
Answer:
x-5
Step-by-step explanation:
I had the same question on my assignment lol
Which of the following decimals is equivalent to the common fraction four-fifth? a. 0.80 b. 0.75 c. 0.65 d. 0.45 Other:
Answer:
The answer is option a
0.8
4/5 = 0.8
Hope this helps.
1. A right triangle has legs that measure 5 meters and 12 meters. What is the length
of the hypotenuse?
A. 7 meters
B. 10.9 meters
C. 13 meters
D. 17 meters
What answer should I pick
Answer: C. 13 meters
Step-by-step explanation:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Hope it helps
Answer:
C. 13 meters
Step by step:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Which expression is equivalent to the expression 4(6+y)+7?
0 24+ 4y
O 31+ 4y
o 31+By
O 24+ 7y
Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
Answer:
its B
Step-by-step explanation:
If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.
Answer:
The angle at vertex D is acute
Triangle DEF is a right triangle
Step-by-step explanation:
Acute means that the angle is smaller that 90degrees
Correct statement are,
The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Triangle DEF has a 90° angle at vertex E.
Since, In triangle DEF,
vertex E has 90 degree.
So, Possible value of angle E and F are less than 90 degree
Hence, The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
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anyone get this ? (geometry)
Please help!!!!! IMAGE ATTACHED
Answer:
1. y2-y1/x2-x2
2.y=mx+b
3.Ax+By=C
Step-by-step explanation:
Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
Pls answer i will mark as branliest
Answer:
A) Corresponding Angles Theorem (They correspond to each other)
B) If <XBC = 55 Then <XCB = 55
(Because they both are opposite to equal sides)
Now, Finding <BXC:
=> <BXC = 180-55-55 (Angles of a triangle add up to 180 degrees)
=> <BXC = 70 degrees
PLS HELP!!! 10-4*6^3+7
Answer:
-847
Step-by-step explanation:
Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 = -847
Answer:
-847
Step-by-step explanation:
10-4*6^3+7
PEMDAS
Parentheses first - there are none
Exponents
10-4*216+7
Multiply and divide from left to right
10-864+7
Add and subtract from left to right
-854 +7
-847
Mark wants to invest 10,000 in a cd for at least 10 years the first choice is a cd that pays 4% annually and uses simple interest what is the total value after 10 years
Answer: 14000
Step-by-step explanation:
From the question, the first thing is to first calculate the simple interest (S.I). This will be:
S.I = (principal × rate × time)/100
where principal = 10,000
rate = 4%
time = 10 years
Simple interest = (10,000 × 4 × 10)/100
= 400000/100
= 4000
The total value after 10 years will be th addition of the amount invested and the interest. This will be:
= 10,000 + 4000
= 14000
The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9
The multiplicative rate of change of the function is 2.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.
Given that the values of the variables x and y are,
x y
1 6
2 4
The rate of change will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = (4 - 6 ) / ( 2 - 1 )
Rate of change = -2
The multiplicative rate of change will be 2.
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What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
Evaluate: 6+ 4/4 + 3/3
Answer:
8
Step-by-step explanation:
4/4=1
3/3=1
1+1+6=8
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8
Answer: I'm not sure if this is right but I believe its point E, F, G, J
Step-by-step explanation:
Don't use this without getting confirmation I don't want to trip anyone up!
Answer: EFG is correct
Step-by-step explanation:
I did the quiz