Using the given information, the unit rate is 0.0645 miles/minute
Calculating rateFrom the question, we are to determine the unit rate
From the given information,
Daniel runs 40/5 miles in 124 minutes
That is,
Distance = 40/5 miles = 8 miles
Time = 124 minutes
Using the formula,
Rate = Distance / Time
Rate = 8 miles / 124 minutes
Rate = 0.0645 miles/minute
Hence, the unit rate is 0.0645 miles/minute
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The unit rate is 0.0645 miles/minute
We have calculated the rate
From the question, we are to determine the unit rate
From the given information,
Daniel runs 40/5 miles in 124 minutes
Distance = 40/5 miles
Distance = 8 miles
Time = 124 minutes
What is the formula of rate?Rate = Distance / Time
Rate = 8 miles / 124 minutes
Rate = 0.0645 miles/minute
Hence, the unit rate is 0.0645 miles/minute
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Solve for x. Round to nearest tenth
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above
Answer:
x ≈ 0.5
Step-by-step explanation:
using the tangent ratio in the right triangle
tan63° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{IJ}{JK}[/tex] = [tex]\frac{1}{x}[/tex] ( multiply both sides by x )
x × tan63° = 1 ( divide both sides by tan63° )
x = [tex]\frac{1}{tan63}[/tex] ≈ 0.5 ( to the nearest tenth )
Answer:
x = 0.5
Step-by-step explanation:
We can use tan Θ to find the value of x.
tan Θ = Opposite ÷ Adjacent
Let us solve it now
tan 63 = 1 ÷ x
1.9626 = 1 ÷ x
x = 1 ÷ 1.9626
x = 0.5095
x ≈ 0.5 ( nearest 10th )
HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r
Celina says true that each of the following expressions is actually a binomial expression.
What is binomial?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.
Celina says that each of the following expressions is actually a binomial in disguise:
a. 5abc - 2a² + 6abc = 11abc - 2a²
The is a binomial expression.
b. 5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴
The is a binomial expression.
c. (t+2)² - 4t = t² + 4
The is a binomial expression.
d. 5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95
The is a binomial expression.
e. (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³
The is a binomial expression.
Celina says true that each of the following expressions is actually a binomial expression.
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8. Resuelve los siguientes problemas:
a) Cinco trabajadores de una empresa reci-
ben salarios de $1 200, $1 500, $1 600,
$1 300 y $2 500. ¿Cuál es el promedio
salarial?
see the attachment photo!
Do ∠ABE and ∠DBC share a ray
Answer:
yes they do
Step-by-step explanation:
they share a ray
According to the graph, what is the value of the constant in the equation
below?
Answer:
A
Step-by-step explanation:
height (y-axis) = constant × width (x-axis)
let's look at the point coordinates.
remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.
we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).
so, the constant in our equation is responsible for returning half of the x value back as the y value.
what constant factor turns a number in half ?
x × c = x/2
c = 1/2
and so, A is the right answer.
Please help!! A. 170 B. 205 C. 230 D. 105
Answer:
D. 105
Step-by-step explanation:
500-270, there's 230 total 2 head.
270-100 of one head, is 170 purple one head. 170+125 purple equals 295.
296 subtract from 500 total is 205 for total green.
205-100, 105 2 head.
Factor 6x¹ − 5x² + 12x² − 10 by grouping. What is the resulting expression?
(6x + 5)(x²-2)
(6x - 5)(x²+2)
(6x² + 5)(x-2)
(6x²-5)(x+2)
Answer:
[tex](6x-5)(x^2+2)[/tex]
Step-by-step explanation:
[tex]~~~6x^3 -5x^2 +12x -10\\\\=6x^3-5x^2+12x-10\\\\=x^2(6x-5) +2(6x-5)\\\\=(6x-5)(x^2+2)[/tex]
Match the tan R, cos R and sin R to the correct ratios
i need help with the area only for 7 8 and 9
We will get the areas of each one of the given triangles:
7) A = 12.69 mm²
8) A = 19.21 in²
9) A = 16.81 yd²
How to get the area of the given triangles?
7) First, we have an equilateral triangle, where all the sides measure 5.4mm
For an equilateral triangle of side length S, the area is:
[tex]A = \frac{\sqrt{3} }{4}S^2[/tex]
In this case, S = 5.4 mm, replacing we get:
[tex]A = \frac{\sqrt{3} }{4}(5.4mm)^2 = 12.62 mm^2[/tex]
8) Now we have two equal sides and one different. The general area of a triangle of base B and height H is:
A = B*H/2.
In this case, the base measures 3.4 in.
To get the height, let's divide the triangle into two right triangles, such that one cathetus is 3.4in/2 = 1.7 in.
The hypotenuse measures 5.9 in
And the other cathetus is the height of the triangle.
Then, by using the Pythagorean theorem, we see that the height is:
[tex]H = \sqrt{(5.9 in)^2 - (1.7in)^2} = 5.65 in[/tex]
Then the area of this triangle is:
[tex]A = (3.4 in)*(5.65 in)/2 = 19.21 in^2[/tex]
9) Here the base measures 8.2 yds, and the height 4.1 yds, so the area is just:
[tex]A = (4.1 yd)*(8.2 yd)/2 = 16.81 yd^2[/tex]
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One of the roots of the equation x^2-13x+q=0 is 12. Find the other root in the value of the coefficient Q.
Considering that 12 is a root of the function, the value of coefficient Q is of 12.
What does it means that x is a root of a function f(x)?
It means that f(x) = 0.
In this problem, the function is given by:
f(x) = x² - 13x + q.
Since 12 is a root, we have that f(12) = 0, hence:
12² - 13 x 12 + q = 0
q - 12 = 0.
q = 12.
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Determine whether triangles EFG and PQR are congruent
Plsss help
Answer:
B
Step-by-step explanation:
Because it flipped over the x axis
Spot the coordinates
E(-3,1)P(-3,-1)F(1,1)Q(1,-1)G(4,4)R(4,-4)Yes it's reflection along x axis
.(x,y)=(x,-y)Option B
General Sherman, a tree located in Sequoia National Park, stands 275 feet tall. To see the top of the tree,
Carlos looks up at a 19° angle of elevation. If Carlos is 6 feet tall, how far is he from the base of the tree to the
nearest foot?
By using trigonometric relations, we will see that the distance between Carlos and the tree is:
D = 781.23 ft
How far is Carlos for the base of the tree?We can model this with a right triangle. We know that Carlos is 6ft tall, and the height of the tree is 275ft.
Then one of the cathetus of the triangle is equal to:
275ft - 6ft = 269ft.
That cathetus is the opposite cathetus to the angle of 19° (the elevation angle). And the adjacent cathetus is the distance between Carlos and the tree.
Then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
a = 19°opposite cathetus = 269ftadjacent cathetus = D.Replacing that, we get:
tan(19°) = 269ft/D
Solving for D, we get:
D = 269ft/tan(19°) = 781.2ft
So we conclude that Carlos is at 781.23 ft of the tree.
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solve these algebraic fractions please with explanation would be great
Answer:
look above
Step-by-step explanation:
hope it helps
What is a divided by a% of a?
Answer:
[tex]\frac{100}{a}[/tex]
Step-by-step explanation:
Hello!
a% is the same as [tex]\frac a{100}[/tex].
a% of a can be found by multiplying them both, giving us [tex]\frac {a^2}{100}[/tex]
Solve:[tex]\frac{a}{\frac{a^2}{100}}[/tex][tex]a * \frac{100}{a^2}[/tex][tex]\frac{100a}{a^2}[/tex][tex]\frac{100}{a}[/tex]The value of the expression is [tex]\frac{100}{a}[/tex]
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 & large candles sell for $27.98. How many large candles did the store sell?
a. 6
b. 8
c. 10
d. 12
It makes that every time we flip a fair the probability of flipping tails is
It makes that every time we flip a fair the probability of flipping tails is 50%.
What is the probability?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5
Probability of flipping tails = number of tails / number of sides
1/2 = 0.5 = 50%
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ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?
Answer:
Below in bold.
Step-by-step explanation:
The 3 angles add up to 180 degrees as they are in a triangle.
So 10x - 33 + 4x - 19 + 100 - 2x = 180
12x = 180 + 33 + 19 - 100
12x = 132
x = 11.
So the 3 angles are
10(11) - 33 = 110 - 33 = 77 degrees
4(11) - 19 = 25 degrees
100 - 2(11) = 78 degrees
50. a skateboard shop stocks 10 types of board decks, 3 types of trucks, and 4 types of wheels. how many different skateboards can be constructed?
The population of a small town has a decay rate of 0.5% every year. If I had 58,000 people in 2011, how many will they have today.
Answer:
If I am not mistaken the number is 54,810.
Hope I helped.
Which equation is showed in the graph above
Answer: A
It has a negative gradient.
Hope this helps :))
P.s. Can you mark me as the brainliest? <3
Answer:
Step-by-step explanation:
Remark
You can read the y intercept right off the graph. Follow the y axis upwards until the line intercepts the y axis. I think you will find it is at 0,5
So far what you know is
y = mx + 5
Finding m is a little harder. I would use 6,0 and 0,5 as the two points that will define m.
Givens
x1 = 6
x2 = 0
y1 = 0
y2 = 5
Equation
m = (y2 - y1) / (x2 - x1) Put the givens into this equation.
Solution
m = (5 - 0) / (0 - 6)
m = 5/-6
m = - 5/6
Answer
The line is
y = -5/6 x + 5
Question 3 of 5
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each person to the contribution they made to the field of geometry.
Leonhard Euler
Maryam Mirzakhani
Rene Descartes
illustrated geometry of iterations
proof of complex functions
developed geometry of curved surfaces
Benoit Mandelbrot
The Correct match up is:
Leonhard Euler - developed geometry of curved surfacesWho made proof of complex functions?The first proof of complex numbers was done by an Italian mathematicians known to be Girolamo Cardano and Raphael Bombelli.
The person who illustrated geometry of iterations is Gaston Maurice Julia.
Benoit Mandelbrot is known to have discover fractal geometry. Rene Descartes is known to be famous for making a connection between geometry and algebra.
Therefore, from the above, you can see that the only correct matchup is Leonhard Euler - developed geometry of curved surfaces
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Answer :
proof of complex functions --- > Maryam Mirzakhani
illustrated geometry of iterations --- > Benoit Mandelbrot
developed geometry of curved surfaces --- > Leonhard Euler
In the 15th century, Rene Descartes developed the field of analytical geometry by using functions to describe lines and curves in a coordinate plane. In the 18th century, Leonhard Euler extended geometric analysis to curved surfaces. in the late 20th century, Benoit Mandelbrot used computers to illustrate the geometry of iterations (fractals). In 2014, Maryam Mirzakhani received the Fields Medal for her work on geometric proofs involving complex functions.
please helb it is very hadr
Answer:
a=15.7mm2,31.4
b=18.84in2,37.68
HELP ASAP
A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer's depth (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=t2−12t+27
Rewrite the formula in factored form and select each true statement below.
The swimmer is underwater for 12 seconds.
The swimmer dives into the water 3 seconds after the timer was started.
The swimmer comes back up 9 seconds after the timer was started.
The swimmer dives to a maximum depth of 27 feet.
The swimmer dives into the water 12 seconds after the timer was started.
The correct true statement is the swimmer comes back up 9 seconds after the timer was started.
Maximum height of a functionThe maximum height of a function is the point where the velocity the body is zero.
Given the function that represent the height of the swimmer as h(t)=t^2−12t+27
If the velocity of the function is zero, hence;
h'(t) = 2t - 12
0 = 2t - 12
2t = 12
t = 6secs
Substitute t = 6 into the function as shown:
h(6) = 6^2−12(6)+27
h(6) = 36 - 72 + 27
h(6) = -36 + 27
h(6) = -9 feet
Hence the correct true statement is the swimmer comes back up 9 seconds after the timer was started.
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I need help with this problem, please explain
Answer:
v = 164.64
Step-by-step explanation:
Your friend forgot to divide 6.8 by two as 6.8 is the diameter not the radius. The volume equation needs the radius so you divide 6.8 by 2 which equals 3.4 thats what inputed into the volume equation
Please help! This is reflections in geometry! Thank you.
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
Reflection of coordinatesA reflected coordinates are mirror images of each other. From the given diagram, the coordinate points are;
P = (-4, -3)
Q = (-2,-4)
R = (1, -2)
If these coordinates reflected over y = -1, the resulting coordinate will be:
P = (-4, -6)
Q = (-2,-8)
R = (1, -4)
The y coordinates are multiplied by a factor of 2
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Abrianna sold 20, 23, 18, 4, 17, 21, 15, and 56 boxes of cookies after different football games. Which data value(s) are outliers? Select all that apply.
The data values that are outliers are 4 and 56.
What is an outlier?
An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.
In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.
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question 2 help me please
Answer:
90π in²
Step-by-step explanation:
Surface area of cylinder:r = 3 in
h = 10 in
[tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]
[tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]
In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .
Radius = 3 inches
Height = 10 inches
We know,
[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]
Substituting the values we get
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]
[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]
[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]
Hi can anybody answer this please !
Answer:
7ft; 8 minutes
Step-by-step explanation:
a. to find the height the person boarded at, plug in t=0 since this is right when the person got on the Ferris wheel. we then get:
h(0) = -45 * cos ((pi/4)*0) + 52 = 7 ft
b. to find the period, we have pi/4 * t = 2*pi, solve for t to get t=8
The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE =
B.
C.
D.
Based on the properties of a kite, the statement that is true is: D. KPE = TPE.
What is a Kite?A kite is a quadrilateral in which its diagonals intersect at right angles.
Also, the non-vertex angles of a kite are congruent, that is they have equal measure.
Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.
Therefore, the true statement is:
D. KPE = TPE
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One day in a sporting goods store, 34 people came in and made purchases while 14 people came in but didn't buy anything. What's an unsimplified ratio, as a fraction, of the number of people who made a purchase and the number of people who came into the store
Answer:
34/48
Step-by-step explanation:
So to answer this problem, we need to know two things:
1) The number of people who made a purchase
2) The number of people who came into the store
The problem gives us 1), which is 34.
The answer for 2) is 34+14, since that's the total number of people who came into the store. This means that the ratio is 34/48.