Answer:
x^2-7x+8=0
Step-by-step explanation:
(x+1)(x-8)=0
x^2-7x+8=0
3(x - 2) + 2 = 5(x - 3) + 9 por fa
Answer:
x = 1
Step-by-step explanation:
Given
3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides
3x - 6 + 2 = 5x - 15 + 9
3x - 4 = 5x - 6 ( subtract 5x from both sides )
- 2x - 4 = - 6 ( add 4 to both sides )
- 2x = - 2 ( divide both sides by - 2 )
x = 1
what types of correlation would be expected between distance run and calories burned? would this relationship be casual - positive correlation, not casual - positive correlation, casual - negative correlation, not casual - negative correlation, casual
Answer:
It's the first choice - causal, positive correlation.
Step-by-step explanation:
The further you run the more calories you will burn so there is a positive correlation here.
The relationship between distance run and calories burned is generally expected to be causal and positive, but it may be influenced by various individual and contextual factors.
Here, we have,
The relationship between distance run and calories burned is expected to exhibit a causal - positive correlation. This means that as the distance run increases, the calories burned are also expected to increase. The more someone runs, the more energy they expend, leading to a higher calorie burn.
However, it's important to note that while this relationship is expected to be causal and positive, there can be individual variations. Factors such as an individual's weight, metabolism, running efficiency, and other physiological factors can influence the calorie burn. Additionally, other factors such as running speed, terrain, and intensity of the run can also affect the relationship.
In summary, the relationship between distance run and calories burned is generally expected to be causal and positive, but it may be influenced by various individual and contextual factors.
learn more on correlation :
https://brainly.com/question/17345273
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WILL GIVE BRAINLIEST! 7th GRADE MATH
Answer:
Third option is the right choice.
Step-by-step explanation:
The intersection point of both lines is [tex](-2, 2)[/tex].
Area of triangle [tex]\Rightarrow 12.5 = \frac{5\times x}{2}[/tex]
[tex]\Rightarrow x=5[/tex]
This represents the height of the triangle.
So, the y-coordinate of C, will be y-coordinate of point of intersection plus height of triangle.
y = 5+2 = 7
Best Regards!
If the distance from the boat to the lighthouse is 110 meters and the angle of elevation is 44°, which of the following equations will find the height of the lighthouse?
Answer:
C.tan 44° = y over 110
Step-by-step explanation:
Took the test
The height of the lighthouse is 106.5m
How do find the height of the lighthouse?Using the given diagram, we get
tan 44° = y / 110
0.965 = y / 110
y = 0.965 * 110 = 106.5m
The answer is 106.5m
What is height in trigonometry?
The height of the object. The angle at which the observer views the topmost point of the object (angle of elevation) The angle at which the observer views the object when the observer is on top of a tower/building (angle of depression).
Learn more about height and distance here: brainly.com/question/16177976
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p inversely as( m + 1 ). when p = 4, m = 8 . (a)Find a equation connecting P and ( m + 1 ). (b)calculate the value of p when m = 11
Answer:
a. p= 36/(m + 1)
b. p = 3
Step-by-step explanation:
If p varies inversely as (m + 1)
then p = k × 1/(m + 1). {Where k is the constant}
when p = 4, m = 8, that means 4 = k/(8 + 1)
4 × 9 = k and k = 36
a. Therefore the equation is p= 36/(m + 1)
b. When m = 11,
p = 36/(11 + 1)
p = 36/12
p = 3
I had $5.00. My mom gave me $10.00 while my Dad Gave me $30.00. My aunt and uncle gave me $100.00. I had another $5.00. How much did I have? I won against Tada Yazhe
Answer:
Is it $150?
Step-by-step explanation:
Step 1: Add it all together
5 + 10 + 30 + 100 + 5
All adds up to 150.
Probably got it wrong though haha.
The 3 by 3 grid below shows nine 1 cm × 1 cm 1 cm×1 cm squares and uses 24 cm 24 cm of wire. What length of wire is required for a similar 20 by 20 grid?
Answer:
Length of wire is required = 840 cm
Step-by-step explanation:
Given:
20 by 20 grid
Find:
Length of wire is required.
Computation:
We know that 20-20 grid required 21 lines.
20 cm vertical and horizontal.
⇒ Length of wire is required = (21 + 21)20 cm
⇒ Length of wire is required = (42)20 cm
⇒ Length of wire is required = 840 cm
Please help. Ill mark u as brainlist or whatever its called
Answer:
x = 70
Step-by-step explanation:
Angles on a line add up to 180 degrees.
180 - 120
= 60
Angles in a triangle add up to 180 degrees.
180 - 50 - 60
= 70
Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply.
(StartFraction negative 4 x over 1 EndFraction + three-fourths = 12
Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12
StartFraction negative x + 3 over 4 EndFraction = 12
One-fourth (x + 3) = 12
(StartFraction negative x over 4 EndFraction + three-fourths = 12
Answer:
Step-by-step explanation:
Negative one-fourth (x) + three-fourths = 12
-1/4(x)+3/4=12
-x/4 + 3/4 =12
-x+3/4=12
1. Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12
-1(x/4)+3/4=12
-x/4+3/4=12
2. (StartFraction negative x over 4 EndFraction + three-fourths = 12
-x/4+3/4=12
3. StartFraction
negative x + 3 over 4 EndFraction = 12
-x+3/4=12
Answer:
B, C, & E
Step-by-step explanation:
-1(x/4) + 3/4
-x + 3 /4 = 12
(-x/4) +3/4 = 12
Hope this helps ^^
PLSSSS HEEEELPPP
A cone has a radius of 6 inches and a height of 16 1/2 inches. A cylinder
has a radius of 8.5 inches and a height of 25 inches. What is the sum of the
volumes, to the nearest tenth of a cubic inch, of the cone and the
cylinder? EXPLAIN YOUR ANSWER. *
Answer:
6296.5
Step-by-step explanation:
Cone volume: 622.0
Cylinder Volume: 5674.5
622+5674.5=6296.5
Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
You have an obtuse, scalene triangle, so no :)
Step-by-step explanation:
Side a = 4
Side b = 9
Side c = 7
Angle ∠A = 25.209° = 25°12'32" = 0.43998 rad
Angle ∠B = 106.602° = 106°36'6" = 1.86055 rad
Angle ∠C = 48.19° = 48°11'23" = 0.84107 rad
Answer:
Triangle ABC is not a right-angle triangle.
Step-by-step explanation:
perimeter of the triangle: 20cm
AB=7cm and BC=4cm.
We can do the third length (AC) by subtracting the known lengths from the perimeter: 20 - 7 - 4 = 9
Therefore, the length AC is 9.If
ABC were a right angle triangle, we'd be able to use Pythagoras's Theorem to work out the length AC.
AC is the hypotenuse of the triangle because it is the longest length.
a2 + b2 = c242 + 72 = 16 + 49 = 65
Where AC = c, c2 = 65 If c = 9, then c2 = 81, however when using Pythagoras, c2 = 65.
I hope this helps. I am sorry if you get this wrong.
Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.
Answer:
0
Step-by-step explanation:
144 h = 6 days
Six days later would be midnight on May 1.
That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.
The probability of Adelaide being sunny at midnight is zero.
Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot?
Answer:
≈37.7 feet
Step-by-step explanation:
I'm assuming he goes diagonally.
We can form a triangle with legs 20 feet and 32 feet.
Using the Pythagorean Theorem, we get:
[tex]20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\[/tex]
c≈37.7
Answer: 37.7 ft
Step-by-step explanation:
20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that he wants to walk.
20^2 +32^2 =c^2
400 +1024 =c^2
1424 = c^2
c= 37.7359 rounded to the nearest tenth of a foot is 37.7
Raphael graphed the function g(x)=x+2 and f(x)=x-1. How many units below the y intercept of g(x) is the y intercept of f(x)
Answer:
3
Step-by-step explanation:
If you take the y-intercept of x+2 and the y-intercept of x-1 and graph them, count the number of units in between them and you should see that your answer is 3
Answer:
D) 3 units
Step-by-step explanation:
x-5y=-15 Complete the missing value in the solution to the equation (-5,__)
Answer:
Ok,(-5,__) means that -5 is the x intercept and the missing number is the y intercept
So, We need to substitute x with -5 in the equation to get the value of y
x-5y=-15
-5-5y=-15
-5y=-15+5
-5y=-10
-5y/-5=-10/-5
y=2
So,the missing value is 2. (-5,2)
I hope this help.Please give me the brainliest
Step-by-step explanation:
Answer: the answer (-5,2)
How do problems with extraneous solutions differ from problems with no real solutions or no solution at all? How are they similar?
Answer:
No real solution implies that there could possibly be imaginary solutions.
Step-by-step explanation: Extraneous solutions are created be using certain methods to solve the problem. They are not, never were, or never will be solutions. They are created by the process that is used to solve. hope this helps you :)
Suzan bought some balloons and repacked them for sale. He threw away 76 balloons each. Each packet was sold at $86. After selling all the packet of balloon he collected $9,632 altogether. How many balloons did Suzan buy? A.1,644 B.1,464 C.1,466 D.1,646
Answer:
188 balloons
Step-by-step explanation:
First, we have to divide the amount he collected altogether by the price of each balloon that he sold to find out how many balloons he sold:
9632 / 86 = 112 balloons
She sold 112 balloons.
We know that she threw 76 balloons away, therefore, the number of balloons she bought was:
112 + 76 = 188 balloons
Will grant you brainliest :) True or false?
Answer:
The answer is true
Step-by-step explanation:
Hope this Helps!
A car costs £20000. Work out the price after a 5% discount.
Answer:
£19000
Step-by-step explanation:
Discount cost = 5% of 20000 = 5/100 x 20000 = 1000
SO, cost after discount = 20000 - 1000 = 19000
hope this helps
When a metal is placed in an a........ there is a chemical reaction. lol this is not maths
Step-by-step explanation:
you are my 7 year old are the only ones 6th in a world to make it to make a simple decision about you are you fresh out there in the United kingdom of America you have a great life in a country in the United kingdom of the world and inventor of the world is a good thing to be a great person but you can also find the right to be able and the way of the freash
Which of the following explains why Cosine 60 degrees = sine 30 degrees using the unit circle?
The answer is: The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
But I would really appreciate someone to explain this to me, thank you!
Answer:
Step-by-step explanation:
Suppose triangle CAD with A = 60^0 and triangle ABE with B = 60^0. They are similar (the order matter, don't change the order)
We have CD = AE and AD = BE , AC = AB (radius)
in triangle CAD, cos A = cos (60) = AD/ AC
in triangle ABE, sin A = sin (30) = BE/AB
We have denominators are equal (both are radius of the circle) and numerator are equal, that gives cos (60) = sin (30)
Answer:
The side opposite a 30° angle is the same as the side adjacent to a 60° angle in a right triangle. On a unit circle, the y (sin) distance of a 30° angle is the same as the x (cos) distance of a 60° angle.
Step-by-step explanation:
did edge2020
Which of the following could be f(x)?
Answer:
f(x) = -2x² + 2
Step-by-step explanation:
If you remember the y = x² parent graph, you will be able to derive your equation from visualization.
The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.
What are the dimensions of the poster at 1/3 its current size?
Answer:2 in. by 3 in
Step-by-step explanation:
only my best guess
An appliance store reduced the price of a refrigerator by 20% and then raised the prices by 10% from the lower price. What was the original price of the refrigerator, if the price was $70.49 ?
Answer: $80
Step-by-step explanation:
Let the original price of the refrigerator be represented by y.
We are told that an appliance store reduced the price of a refrigerator by 20%. This will be:
= y - (20% of y)
= y - (20/100 × y)
= y - (0.2 × y)
= y - 0.2y
= 0.8y
We are then told that the store then raised the prices by 10% from the lower price. This will be:
= 0.8y + (10% of 0.8y)
= 0.8y + (0.1 × 0.8y)
= 0.8y + 0.08y
= 0.88y
Since we told that now the price was $70.49, this means that we have to find the value of y using the above expression. This will be:
0.88y = $70.49
y = $70.49/0.88
y = $80.10
y = $80 approximately
The original price of the refrigerator is $80.
In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.
Answer:
m < 1 = 80
m < 2 = 70
Step-by-step explanation:
As we can see in the figure that
[tex]a || b[/tex]
Plus line s and t are considered to be transversals
That results into
m < 1 and 80
i.e alternate angles
And as we know that alternative angles are equal to each other
So,
m < 1 = 80
Moreover,
m < 2 = 70
As corresponding angles are equal to each other
Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things
what is as a percentage and decimal
[tex] \frac{11}{20} [/tex]
Answer:
Percentage: 55%
Decimal: 0.55
Step-by-step explanation:
11÷20=
0.55
[tex]\frac{11}{20}=\frac{55}{100}[/tex]
or 55%
For which equations is 8 a solution? Check all that apply.
Ox+6=2
X+2 - 10
ox-4-4
Ox-2-10
0 2x=4
3x - 24
OŠ - 16
Answer:
3x-24
Step-by-step explanation:
because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8
Who wants to help I really really need it ❤️
Answer:
4^8
Step-by-step explanation:
4^5 * 4^3
We know that a^b* a^c = a^(b+c)
4^(5+3)
4^8
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation:
Can I get help with understanding this?
Answer:
KG = Diameter
FH = Secant
KH = Chord
E = Tangent Point
A = not shown in picture
JG = Radius
HG = Chord
Step-by-step explanation:
Those are the basic parts of a circle.