Answer:
a
Step-by-step explanation:
Which of these figures represents a line segment?
Flo told her coach that she swam 5.4 kilometers in the pool. The chart shows the length of a standard-sized pool and the distance around a standard-sized running track.
Venue
Kilometers
Pool
0.05
Running Track
0.4
Which is the best method to find the number of laps Flo swam?
divide 5.4 by 0.05
multiply 5.4 by 0.05
divide 5.4 by 0.4
multiply 5.4 by 0.4
Answer:
Divide 5.4 by 0.5
Step-by-step explanation:
It's says to find the number of laps she swam. It doesn't ask us to figure out how many laps she could have run with the amount of laps she did.
To find the number of laps Flo swam, divide the total distance Flo swam (5.4 km) by the length of one lap in the pool (0.05 km). This results in 108 laps.
Explanation:To find out the number of laps Flo swam, we must take the total distance she swam and divide it by the length of one lap in the pool. According to the chart, the length of one lap in a standard-sized pool is 0.05 kilometers. Therefore, the best method would be to divide 5.4 (the total distance Flo swam in kilometers) by 0.05 (the length of one lap in kilometers).
So, we take 5.4/0.05 = 108. This means that Flo swam 108 laps in the pool. Remember, when you want to find how many times a certain distance fits into another, you should utilize division.
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Determine which of the following graphs represent the equation below. Also determine the y-intercept of the graph.
Answer:
Option (a)
Step-by-step explanation:
The given equation is
y = 4 (2ˣ)
To find y-intercept, substitute x=0 in the equation.
y = 4 (2⁰) = 4 (1) =4
Hence y-intercept is 4.
Since y-intercept is 4, the equation should pass through the point (0,4).
The only graph passing through the point (0,4) is the graph in option (a).
Hence the answer is option (a).
Answer:
a
Step-by-step explanation:
Jayda is cutting a roll of biscuit dough into slices that are 3/4 inches thick if the roll is 10 1/2 inches long how many slices can he cut?
Answer:
Jayda can cut 14 slices of dough that are 3/4 inches thick.
Step-by-step explanation:
In order to solve this problem, we need to take the total amount of dough at 10 1/2 inches and divide it by the thickness of one slide, 3/4 inches, to find the number of slices that can be made from the total amount. You can solve this two different ways. You can either convert your fractions to decimals so that 10 1/2 becomes 10.5 and 3/4 become 0.75 and then divide 10.5/0.75 to get 14. However, you can also keep them as fractions converting 10 1/2 to 21/2 and dividing by 3/4. When we divide with fractions with keep-change-flip, or keep the first fraction-change the sign to multiplication-flip the second fraction. So, we multiply 21/2 x 4/3 and get 84/6, or 14.
Todd is saving for a vacation. The cost of his vacation is 1,089. Todd has a year to save the money. About how much does he need to save each month to reach his goal
Answer:
He needs to save $90.75 each month to reach his goal.
Step-by-step explanation:
We have the cost of his vacation that is $1089.
We know that Todd has a year to save the money.
We know that a year in terms of time is twelve months (12 months).
If we want to calculate how much does he need to save each month we need to divide the total cost of his vacation by the amount of months in a year ⇒
[tex]\frac{1089}{12}=90.75[/tex]
We find that Todd needs to save $90.75 per month to reach his goal.
HELP PLEASE!! which of the following represents a function?
please explain too i don’t understand this.
Answer:
I think it's c.
Step-by-step explanation:
A graph usually stands as a representation for functions.
Jaz was 43 inches tall. 18 months later she was 52 inches tall. Find the constant rate of change for Jaz's height.
(a+b+c)(d+e+f)(a+b+c)(d+e+f). The expression consists of 3 factors, and each factor contains 2 terms.
Answer:
Not true
Step-by-step explanation:
It is in fact an expression with 4 factors, each with 3 terms.
Factors are things you multiply, terms are things you add.
A police officer investigating an accident finds a skid mark 115 feet long approximately how fast was the car traveling when the driver applied the brakes
The speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.
What was the speed?
The formula that is often used by police officers to determine the speed from a skid mark is this s = √21d.
So, in this case, the length or distance of the skid mark is 115 feet. We can substitute this value in the formula to get;
Speed of car = √21(115)
Speed of car = √2,415
Speed of car = 49.1426 approximately 49 mph.
So, the speed that describes how fast the car was traveling when the driver applied the brakes is 49 mph.
Complete Question:
A police officer investigating an accident finds a skid mark 115 feet long. Approximately how fast was the car traveling when the driver applied the brakes?
Hailey ran a few laps. D(n) models the duration (in seconds) of the time it took for Hailey to run her n lap. When did her lap duration increase
Answer:
2 hours
Step-by-step explanation:
Answer:
during the 7th and the 9th lap
Step-by-step explanation:
I just did it
Geometry help! Will give brainliest!! The slope of line b is -1/6. What is the slope of the line parallel to line b?
1/6
-1/6
-6
6
Answer:
-1/6
Step-by-step explanation:
Parallel lines are lines which have the exact same slope but different y-intercepts. This means any line which is parallel and does not cross will have the exact same slope of -1/6.
What are the zeroes of the polynomial function f(x)=x^3+2x^2-x-2
[tex]f(x)=x^3+2x^2-x-2\\\\f(x)=0\iff x^3+2x^2-x-2=0\\\\x^2(x+2)-1(x+2)=0\\\\(x+2)(x^2-1)=0\iff x+2=0\ \vee\ x^2-1=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\\\boxed{x=-2}\\\\x^2-1=0\qquad\text{add 1 to both sides}\\\\x^2=1\to x=\pm\sqrt1\\\\\boxed{x=-1\ \vee\ x=1}\\\\Answer:\ -2,\ -1,\ 1[/tex]
Answer: -2, -1, 1
Step-by-step explanation:
f(x) = x³ + 2x² - x - 2
0 = x³ + 2x² - x - 2
= x²(x + 2) -1(x + 2)
= (x² - 1) (x + 2)
= (x - 1) (x + 1) (x + 2)
0 = x - 1 0 = x + 1 0 = x + 2
1 = x -1 = x -2 = x
In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally, in third, or high gear, the engine runs at the same speed as the drive shaft. Engine speed = 4,100 r.p.m. Transmission in first gear Drive-shaft speed (to nearest r.p.m.) =
a) 1367
b) 12,300
c) 6560
Answer:
A 1367
Step-by-step explanation:
Statewide, there are 20 full-time employees to every 3 part-time employees. If there are 250,000 full-time employees, how many part-time employees are there statewide?
Divide total full time employees by 20 to find how many groups of 20 there are, then multiply that number by 3 to find total part time employees:
250,000 / 20 = 12,500
12,500 x 3 = 37,500 part time employees.
Number 19 only! 100 points!
Rewrite each expression in terms of sine and cosine, and simplify as much as possible.
Answer:
The answer is sin^2 (theta) cos (theta) .
Step-by-step explanation:
We need to rewrite tan (theta) as sin (theta) /cos (theta)
tan^2 (theta) = sin^2 (theta)/ cos^2 (theta)
We also need to rewrite sec (theta) as 1/ cos(theta)
sec^3 = 1 / cos^3( theta)
tan^2 (theta) sin^2 (theta)
------------------ = ----------------
sec ^3 (theta) cos ^ 2(theta)
---------------------------
1
-----------
cos ^3 (theta)
Remember when dividing fractions, we can use, copy dot flip
sin^2 (theta) cos^3 (theta)
------------------ * -------------------
cos ^ 2(theta) 1
Canceling a cos^2(theta) from the top and bottom,
sin^2 (theta) cos (theta)
------------------ * -------------------
1 1
we are left with
sin^2 (theta) cos (theta)
The answer is sin^2 (theta) cos (theta) .
The answer is sin^2
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Look at the picture.
[tex]\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}[/tex]
We have the right triangle x, y and r. From the Pythagorean theorem we have:
[tex]r^2=x^2+y^2\to r=\sqrt{x^2+y^2}[/tex]
We have the point
[tex]\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)[/tex]
Substitute:
[tex]r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1[/tex]
[tex]\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}[/tex]
The cosine of the angle is -2/3, the sine is √5/3, and the cosecant, being the reciprocal of the sine, is √5/5 after rationalization.
The point (-2/3,√5/3) on a unit circle represents the cosine and sine of a specific angle. Here, the x-coordinate is the cosine of the angle, and the y-coordinate is the sine of the angle.
Therefore, the cosine of the angle is -2/3, and the sine is √5/3.
To find the cosecant of the angle, we take the reciprocal of the sine, which gives us 3/√5 or √5/5 after rationalizing the denominator.
A triangle has two side of length 10 and 14 what value could the length of the third side be check all that apply
A) 26
B) 16
C) 10
D) 8
E) 5
F) 2
If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
A) 10, 14, 26
10 + 14 = 24 < 26 INCORRECT :(
B) 10, 14, 16
10 + 14 = 24 > 16 CORRECT :)
C) 10, 10, 14
10 + 10 = 20 > 14 CORRECT :)
D) 8, 10, 14
8 + 10 = 18 > 14 CORRECT :)
E) 5, 10, 14
5 + 10 = 15 > 14 CORRECT :)
F) 2, 10, 14
2 + 10 = 12 < 14 INCORRECT :(
Answer: B) 16, C) 10, D) 8, E) 5Options B, C, D and E are correct answers.
Given that, a triangle has two sides of lengths 10 and 14.
We need to find what value could the length of the third side be and check all that apply.
What is the triangle inequality theorem?Triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.
Now, from the given options:
A) 10, 14, 26
10 + 14 = 24 < 26 the triangle can not be formed
B) 10, 14, 16
10 + 14 = 24 > 16 the triangle can be formed
C) 10, 10, 14
10 + 10 = 20 > 14 the triangle can be formed
D) 8, 10, 14
8 + 10 = 18 > 14 the triangle can be formed
E) 5, 10, 14
5 + 10 = 15 > 14 the triangle can be formed
F) 2, 10, 14
2 + 10 = 12 < 14 the triangle can not be formed
Therefore, options B, C, D and E are correct answers.
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A baseball team loses twice as many games as it wins.The baseball season is 162 games long.How many games will the team loses?
Answer:
11
Step-by-step explanation:
I guessed
Dan Williams took out a simple interest loan at 14.5% interest for 12 months. His previous balance is $119.42. What is the final payment if the loan is paid off with the next payment?
Answer:
$132.90
Step-by-step explanation:
Answer:
$120.86
Step-by-step explanation:
Brandy is trying to factor the quadratic $3x^2 - x - 10.$ She starts by assuming that the quadratic factors as \[3x^2 - x - 10 = (x + B)(3x + D),\]for some integers $B$ and $D.$ After some work, Brandy successfully factors the quadratic. Find the ordered pair $(B,D).$
Answer:
(B , D) = (-2,5)
Step-by-step explanation:
The given quadratic expression is
[tex]3x^{2} -x-10[/tex]
compare the given expression with [tex]ax^{2} +bx+c[/tex]
so we have [tex]a = 3 , b = -1 ,c = -10[/tex]
now [tex]ac=3 (-10)=- 30[/tex] and [tex]b= -1[/tex]
we need to find two numbers such that their product is -30 and sum is -1
-6 and 5 are such numbers
so we have
[tex]3x^{2} -6x+5x-10[/tex]
grouping first two terms and last two terms
[tex](3x^{2} -6x)+(5x-10)[/tex]
factor out 3x from first two terms and 5 from last two terms
[tex]3x(x-2) +5(x-2)[/tex]
[tex](x-2)(3x+5)[/tex] ( factor out (x-2))
[tex](x+(-2))(3x+5)[/tex]
hence B =-2 and D= 5
(B,D)= (-2,5)
Carlotta drove 72.6 miles on Monday. She drove 84.18 miles on Tuesday. Which gives the best estimate for how many more miles Carlotta drove on Tuesday?
A)84 – 73 = 11 miles
B)73 – 84 = 11 miles
C)85 – 72 = 13 miles
D)84 – 71 = 13 miles
Answer:
A)84 – 73 = 11 miles
Step-by-step explanation:
On Tuesday she drove 84 miles (rounding to the nearest mile)
On Monday she drove 73 miles (rounding to the nearest mile)
Tuesday's mileage - Mondays miles = difference in miles
84-73 = 11 miles
Answer: A. 84 – 73 = 11 mi
Determine between which consecutive integers the real zeros of f(x)=2x^2-5x+1 are located a. between 0&1 and 1&2 c. between 0&1 and 2&3 b. between -1&0 and 2&3 d. between 1&2 and 2&3
Answer:
c. between 0&1 and 2&3
Step-by-step explanation:
The roots of the given quadratic functions lie between 0&1 and 2&3 thus option (C) is correct.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given quadratic equation,
f(x) = 2x² - 5x + 1
The value of x will be as,
x = [-(-5) ± √((-5)² - 4 ×2 × 1)]/(2 × 2)
x = (5 ± √17)/4
x = 0.219 and x = 2.28
So, 0 < 0.219 < 1 and 2 < 2.28 < 3.
Hence "The roots of the given quadratic functions lie between 0&1 and 2&3".
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The vertex of the function graph is given. Find c. Y= c-x^2-2x;(-1,3)
Answer:
c = 2
Step-by-step explanation:
(x, y) = (-1, 3)
3 = c - (-1)^2 - 2(-1)
3 = c - 1 + 2
3 = c + 1
2 = c
select the two binomials that are factors of this trinomial x^2+10x+16
A: x+8
B: x+6
C: x+2
D: X-2
Answer:
The correct options are A: x+8 and C: x+2.
Step-by-step explanation:
We are given the following expression and we are to factorize it:
[tex]x^2+10x+16[/tex]
We are to find such factors that when multiplied they give a result of 16 (1 x 16 = 16) and when added they give a result of 10.
The two such factors of 16 are positive 2 and positive 8.
Factorizing the given expression to get:
[tex]x^2+10+16\\\\x^2+2x+8x+16\\\\x(x+2)+8(x+2)\\\\(x+2)(x+8)[/tex]
Therefore, the two binomial factors of the given expression [tex]x^2+10x+16[/tex] are (x+8) and (x+2).
Answer: x+6 x+2
tell me if I’m wrong because I put x+8 and x+2 and got it wrong it told me it was x+6 and x+2
Paws at play made a total of $1,234 grooming 22 dogs. Paws at play charges $43 to groom each small dog and $75 for each large dog. Write a system of equations that can be used to determine the number of small and large dogs that were groomed
Step-by-step explanation:
We are asked to write a system of equations using our given information.
Let x be number of small dogs and y be number of large dogs.
We have been given that paws at play made a total of $1,234 grooming 22 dogs, which means that number of small dogs and large dogs is 22. We can represent this information as:
[tex]x+y=22...(1)[/tex]
We have been given that paws at play charges $43 to groom each small dog and $75 for each large dog. So the total grooming charges for grooming x small and y large dogs will be 43x+75y, that is equal to total charges for grooming $1234.
We can represent this information as:
[tex]43x+75y=1234...(2)[/tex]
Therefore, our desired system of equations is:
[tex]x+y=22...(1)[/tex]
[tex]43x+75y=1234...(2)[/tex]
Please help me out!!!!!!!
Answer: 1%
Explanation:
Add up the frequencies in the bottom row: 350+200+245+125+66+10+4 = 1000
There are 1000 families total. Of this total, 10+4 = 14 families have more than six people. I added up the frequency counts for "7 people" and "8 people" to get 14.
Divide 14 over 1000 and we get 14/1000 = 0.014 = 1.4% which rounds to 1%
which type of correlation is suggested by the scatter plot
Answer:
Negative Correlation
Step-by-step explanation:
As you can see in the image I added, a negative correlation happens when the variables move in opposite directions, in other words, one variable increases as the other decreases. We can see this correlation represented by a value of -1 slope.
I hope you find this information useful and interesting! Good luck!
Answer: That's negative.
Step-by-step explanation: hope this helps.
5a + 5b + 5c + 5d
Which expression is another way to write the expression shown here?
A) 5abcd
B) 5a + bcd
C) 5(a + b + c + d)
D) (5a)(5b)(5c)(5d) what the answer
The correct way to rewrite the expression 5a + 5b + 5c + 5d using the distributive property is option C) 5(a + b + c + d).
The expression given is 5a + 5b + 5c + 5d. This is a sum where each term is multiplied by 5. According to the distributive property, also known as the distributive law of multiplication, a common factor can be factored out of a sum. The distributive property is represented as (A + B)C = AC + BC. In this case, the common factor is 5, and the sum of the variables a, b, c, and d is grouped, giving us 5(a + b + c + d).
So, the correct representation of the expression is 5(a + b + c + d), which corresponds to option C).
H values from the specified set make up the solution set of the inequality? 5w–10>20 ; {5,6,7,8} Select each correct answer. A.5 B.6 C.7 D.8 plz help
Answer: (C) 7 and (D) 8
Step-by-step explanation:
5w - 10 > 20
+10 +10
5w > 30
÷5 ÷5
w > 6
Anything GREATER than 6 will work.
An airplane with a speed of 160 knots is headed east while a 24-knot wind is blowing from 240°. Explain how you would use the result of finding the ground speed to find the course of the airplane.
Question: Explain how you would use the result of finding the ground speed to find the course of the airplane.
Answer: 181.2
Explanation: vertical speed of 20.78 knots
new course is (-148 , 20.78) = inverse tan ( 20.78 / -148) = 172° or 8° N of East at 149.45 knots
New speed (- 148)² + ( 20.28)² = 149.45 knots round and you get 181.2
question answered by
(jacemorris04)
The ground speed of the airplane is 181.18 knots (approx).
What is the formula to find ground speed of airplane ?
The formula of ground speed of a airplane is given below,
[tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]
where, [tex]v_{g}[/tex] = Ground speed of airplane
[tex]v_{a}[/tex] = Speed of the airplane relative to the air
[tex]v_{w}[/tex] = Wind speed
[tex]\alpha[/tex] = Internal angle
How to find the ground speed of given airplane ?Given, [tex]v_{a}[/tex] = 160 knots, [tex]v_{w}[/tex] = 24 knots
Here, the angles increase clockwise and east is 90° heading.
The airplane is flying a heading of 90° at 160 knots speed & wind is blowing from 240° at 24 knots speed.
So, the internal angle[tex](\alpha)[/tex] = 240°-90° = 150°
∴ Ground speed, [tex]v_{g} =\sqrt{}[/tex][tex](v_{a} ^{2}+v_{w} ^{2}-2v_{a} v_{w}cos\alpha)[/tex]
⇒ [tex]v_{g}[/tex] [tex]=\sqrt{}[/tex][tex](160^{2}+24^{2}-2*160*24*cos(150))[/tex]
⇒ [tex]v_{g}[/tex] = 181.18 knots (approx)
Hence the ground speed of airplane is 181,18 knots (approx).
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