Answer:
-4/9 * 8/5 = (- 4/9) x
-32/45= - 4x /9
-288 = 180x
-8/5
4/7x7/8. Can somebody help me with this I’m so confused
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
\(\frac{4}{7} *\frac{7}{8}\)
Its really easy
Just multiply the numerators and the denominators
\(\frac{4*7}{7*8}\)
\(\frac{28}{56}\)
Simplify
\(\frac{1}{2}\)
I hope this helps!
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answer:
16\(\frac{43}{52}\)
Step-by-step explanation:
875/52 = 16\(\frac{43}{52}\)
What does 10.98+4.06
Answer:
15.01
Step-by-step explanation:
10.95+4.06
Answer:
15.01
Hope that helps :-)
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Sketch the graph of y=4x2^+32x+15 using your graphing calculator. What are the x intercepts of this graph?
Answer:
x= -15/2 or -7.5
x= -1/2 or -0.5
Step-by-step explanation:
please make me brainliest
Answer:
Not C
Step-by-step explanation:
wrong
Which measurements can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm
We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...
What is triangle?Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.
We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.
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Read the following paragraph and answer the question. "Emest Cline is an American Screenwriter and author. Ernest was born in 1972. He started his writing career in 1992
doing spoken word poetry. His best known works include "Dance Monkey Dance' and 'When I Was a Kid. He then moved to film, as the screenwriter of the film Fanboys. He then released one of the most entertaining novels of all time, Ready Player One Today Cline is still working, writing for many projects." Why type of informational text is this?
A. Memoir
B. Autobiography
C. Essay
D. Biography
The given passage is telling the life story of Emest Cline, therefore, this is a Biography.
What is a Biography?A biography is simply the story of a real person's life. It could be about a person who is still alive, someone who lived centuries ago, someone who is globally famous, an unsung hero forgotten by history, or even a unique group of people.
The given passage is about the famous American Screenwriter and author, Emest Cline,
The passage is telling his works, his career achievements, his first work, his latest work, the most successful work.
We know that, a biography is usually written history of a person's life.
The value of the passage is the same as a biography.
Therefore, the given passage is telling the life story of Emest Cline, therefore, this is a Biography.
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On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. Find the z-score of a person who scored 300 on the exam.
A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.
The z-score of a person who scored 300 on the exam, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:
z = (300 - 300) / 40
Simplifying the equation, we have:
z = 0 / 40
Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.
The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.
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what is the area of a coat button that has a radius of 6 millimeters. express your answer in terms of .
The required area of the coat button with given radius of 6 millimeters is equal to 113.04 square millimeters.
Radius of the coat button is equals to 6 millimeters
let us consider 'A' be the area of the circle.
And 'r' be the radius of the circle.
Use the formula for the area of a circle we have,
A = πr^2
π (pi) is a mathematical constant approximately equal to 3.14.
Plugging in the given value of the radius we have,
⇒ A = π(6mm)^2
⇒ A = 36π mm^2
⇒ A = 36 × 3.14mm^2
⇒ A = 113.04 mm^2
Therefore, the area of the coat button is 113.04 square millimeters.
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10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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We will assume that the smiling times of an eight-week-old baby, in seconds, follow a uniform distribution between zero and 23 seconds, inclusive. What is the probability that a randomly chosen eight-week-old baby smiles between two and 18 seconds
Answer:
P ( 2<x<18) = 16/23
Step-by-step explanation:
Since it is a uniform distribution the f(x) is given by
f(x) = 1/b-a a ≤x ≤b [0,23]
f(x) = 1/23-0 = 1/23
Now we have to find the probability that a randomly chosen eight-week-old baby smiles between two and 18 seconds
P ( 2<x<18) = base * height
= ( b-a) * 1/ b-a
= 18-2 *1/23
=16/23
The uniform distribution is called rectangular distribution because its total probability is confined to a rectangular region with base equal to (b-a) and height (1/b-a).
Let u =(a,7) and v =(4,4)a.find the value of a such that u is parallel to vb.two nonzero vectors u(u1,u2) and v(v1,v2) are perpendicular to each other if 0. find the value of a such that u is perpendicular to v.
The value of a that makes u parallel to v is a = 4 and the value of a that makes u perpendicular to v is -7.
How to solve vectors using dot and scalar product?a. For two vectors to be parallel, their direction ratios must be equal. In other words, their components must have the same ratio. For vectors u = (a, 7) and v = (4, 4), we have:
u1/u2 = a/7 = v1/v2 = 4/4
So the value of a that makes u parallel to v is a = 4.
b. For two nonzero vectors to be perpendicular, their dot product must be equal to zero. The dot product of u = (a, 7) and v = (4, 4) is given by:
u · v = a * 4 + 7 * 4 = 4a + 28
To make this equal to zero, we can solve for a:
4a + 28 = 0
4a = -28
a = -7
So the value of a that makes u perpendicular to v is -7.
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Find the 75th term using closed form formula:
Fn=1√5[(1+√5/2)n−(1−√5/2)n]
-3, -15, -75, -375…
The 75th term of the sequence is -1.5881 * 10^5.
Geometric sequenceThe geometric sequence is a sequence that has common ratio. The explicit formula of a GP is expressed as:
Tn = ar^n-1
where
a is the first term
n is the number of terms
r is the common ratio
Given the following sequence
-3, -15, -75, -375....
First term = -3
n = 75 (75th term)
r = -15/-3 = 5
Substitute
T75 = -3(5)^75-1
T75 = -3(5)^74
T75 = -1.5881*10^52
Hence the 75th term of the sequence is -1.5881 * 10^52
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A sequence can be generated by using an = a(n-1) +4 where a1 = 6 and n is a whole number greater than 1.
What is the fourth term in the sequence?
Record your answer and fill in the bubbles on your answer document.
Answer: -3
Step-by-step explanation:
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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What are equivalent fractions for 4/10. 6/9. 4/8. 12/16. 12/20. 16/20 WILL GIVE BRAINLESSLY
Answer:
4/10= 8/20 or 2/5
6/9=18/27
4/8=1/2 or 16/32
12/16=24/32 or 3/4
12/20= 36/60 or 3/5
16/20=32/40 or 4/5
Find the probability of randomly choosing an ace or a club from a standard deck of cards. Remember that a standard deck consists of
52 cards, where each card is made up of a number or letter from {2, 3,4, 5, 6, 7, 8, 9, 10, J, Q, K, A} and a suit from {clubs, diamonds, hearts, spades
Answer: The probability of choosing an ace or a club is 16.
Step-by-step explanation:
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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7) Carly is saving money by babysitting on the weekends. Last month, she saved $120.
This month, Carly saved 30% more than she saved last month.
How much money did Carly save this month?
$145
$150
$156,
$160
NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
----------
Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
----------
Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
----------
The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.
Great adventures canoe and kayak company offers 3 different options as shown in the table. This afternoon a group is 15 friends paddle the different options in individual kayaks and 40% of the group paddle the adventure mid trip. How many total yards will the friends who paddle the adventure mid trip travel
The total number of yards the friends who paddle the Adventure Mid travel is 8,580 yards
What is the total distance traveled in yards?Total number of friends = 15Percentage of friends who paddle Adventure Mid Trip = 40%Number of friends who paddle Adventure Mid Trip = 40% of 15
= 0.4 × 15
= 6 friends
Total yards the friends who paddle the Adventure Mid Trip travel = Total length of travel
= 4 7/8 miles
Recall,
1 mile = 1760 yards
Total yards the friends who paddle the Adventure = 4 7/8 × 1,760
= 39/8 × 1,760
= (39 × 1,760) / 8
= 68,640 / 8
= 8,580 yards
Consequently, the task content is solved by converting number of miles to yards.
Complete question:
Great Adventures Canoe and Kayak company offers 3 different options as shown in the table. This afternoon a group of 15 friends paddle the different options in individual kayaks and 40% of the group paddle the Adventure Mid Trip. How many total yards will the friends who paddle the Adventure Mid Trip travel? (Hint: 1 mile = 1760 yards)
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10¹⁵/10³ simplified then express as a positive exponent
Answer:
Step-by-step explanation:
10 ^15 :10^3 =
10 ^(15-3) =
10 ^12
HELP ME IM TOTALLY LOST AND HAVE A HARD TIME ASKING PEOPLE FOR HELP
Answer:
a. 1,323,002
Step-by-step explanation:
A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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many
Math on the Spot An average person has 6 x 10² times as
red blood cells as white blood cells. A small sample of
blood has 7 × 103 white blood cells. About how many red blood
cells are in the sample?
The quantity of red blood cell that is in the sample would be = 42 × 10⁵
What is blood cells?Blood cells are those vascular cells that makes up the circulating blood of living organism which includes the white blood cells and the red blood cells.
The amount of white blood cells = a
The amount of red blood cells = 6 x 10² (a)
The amount of white blood cells in the sample = 7 × 10³
Therefore the amount of red blood cell in that sample =
6× 10² × 7 × 10³ = 42 × 10⁵
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Pattern A follows the rule "subtract 3" and Pattern B follows the rule "subtract 4." Pattern A 20 17 14 11 8 Pattern B 24 20 16 12 8 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (17, 20) (20, 24) (12, 11) (8, 8) (14, 20) (20, 16)
Answer:
(20,24) (17,20) and (8,8)
Hope this helps
Step-by-step explanation:
please help me and fast please!!!!
Answer:
b I think
Step-by-step explanation:
it would need to be a positive line so that eliminated A. also D is not it because the calories will go up, and not stay the same. this leaves is with B and C. I think that it is B because you have to start at 0. hope this helped!
Answer:
B
Step-by-step explanation:
You burn more calories as you exercise, so A and D are wrong. You don't burn any calories if you don't exercise, so C is wrong.
Therefore, B is the correct answer.
Hope I helped!!!
Help on Inscribed Angles with work pls I’m struggling so hard
Answer:
Step-by-step explanation:
∠VWX = 92° so arc length VKX is twice that at 184°
subtracting arc angle VK means arc angle KX = 184 - 42 = 142°
This means that arc angle WVK is 360 - 102 - 142 = 116°
So unknown ∠WXK is half of that at 116 / 2 = 58°
Which situations are BEST modeled by a linear function? es A) A monthly gym membership fee. B) The cost of milk by the gallon. 0) The price of pears by the pound D) The interest rate on a car lone. E) The half-life of a radiative material.
Answer:
B) The cost of milk by the gallon.
C) The price of pears by the pound.
Step-by-step explanation:
A linear function is one that both the dependent and independent variables increases or decreases proportionally.
Thus from the given options:
i. If the gallons of milk increase, then the cost of milk also would increase proportionally. A decrease in the gallons of milk would also reduce the cost of milk.
ii. An increase in the pounds of the pearls would cause an increase in the price of the pearls. Also, a decrease in the pounds of pearls would reduce the price of the pearls.
Thus, the answers to the question are options B and C.
Answer:
The other guy is correct however he missed one
The Answer is actually A, B, C
Step-by-step explanation:
I took the test on Usa test prep.
Make x the subject of the formula where x is positive:
2(x-2y) = 6xz+5u
Answer:
x = \(\frac{5u+4y}{2-6z}\)
Step-by-step explanation:
2(x - 2y) = 6xz + 5u ← distribute parenthesis on left side
2x - 4y = 6xz + 5u ( add 4y to both sides )
2x = 6xz + 5u + 4y ( subtract 6xz from both sides )
2x - 6xz = 5u + 4y ← factor out x from each term on the left side
x(2 - 6z) = 5u + 4y ← divide both sides by (2 - 6z)
x = \(\frac{5u+4y}{2-6z}\)