Hi!
So, the car travels for 3 hours at 50 miles an hour.
That makes 150 miles.
Then, 40 miles per hour for 7 hours.
That makes 280 miles.
Add it together to get 430 miles
What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828
Answer:
The correct option is D
D) -0.828
Step-by-step explanation:
Step 1:First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:(find the values given in table attached below. The formation of table is step 2)
Step 3:Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}
pick a pair of alternate exterior angles
Answer: angles 1 and 7
Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?
Answer:
700 pounds
Step-by-step explanation:
if 46 euros cost 40 pounds
then 805 euros will cost 805 multiplied 40
whatever answer you get divide it by 46
question in attachment
Answer:
1. a= 7, A = 49 degrees
Side A = 7 , Side B = 24, Side C = 25
A= 49 degrees, C = 90 degrees , B=41
2. A= 4, B = 6.9, C=8
A= 22 degrees, B = 68, C= 90
3. A= 7, B = 14.4, C=16
A= 45 , B=45 , C=90
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
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A bag contains 5 red, 8 black, 7 purple, and 10 yellow marbles. what is the probability of first selecting a purple marble, replaced gn it and then selecting a red marble?
Answer:
7/30 purple and 5/30 red or 1/6 red
Step-by-step explanation:
if u have a total of 30 marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red but 5/30 = 1/6
Before a geometric object goes through a transformation it is called which of the following?
(1) the initial image
(2) the beginning image
(3) the pre-image
(4) the preliminary image
Answer:
The pre-image
Step-by-step explanation:
Hope this helps ya!
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answer: x > 1
Step-by-step explanation:
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
The figure shown represents the pattern of a glass ceiling. Based on the markings shown, which triangles can be proven congruent? answers: A) ΔQNI ≅ ΔNPK by SSS B) ΔJKL ≅ ΔNKP by SSA C) ΔJKL ≅ ΔNKP by AAS D) ΔPNK ≅ ΔIKN by SAS
Answer:
D) ΔPNK ≅ ΔIKN by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.
Answer:
answer is C PNK=IKN by SAS
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
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A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96
Answer:
the answer is 32
Step-by-step explanation: divide the product by the number that is being mutiplied
Find three consecutive integers that sums to 15. Show your equation and all work.
Answer:
4, 5, 6
Step-by-step explanation:
Represent the first number by x. Then the next two consecutive integers are x + 1 and x = 2.
THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.
Then 3x = 12, and x = 4.
The consecutive integers are 4, 5 and 6.
A. -1
B. 1
C. Undefined
D. 0
Answer: 0
Step-by-step explanation:
Using the Trigonometric values table or unit circle, calculate the expression.
Answer:
The answer is D.) 0
Step-by-step explanation:
JUST THE QUEST
What is the measure of 0?
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
Find the slope of the line through the points (13, 14) and (0, −1)
Answer:
[tex] \frac{15}{13} [/tex]
Step-by-step explanation:
gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of line
[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]
Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle
Answer:
(5, -1)
Step-by-step explanation:
You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)
Find the measurement of y
A-129°
B-130°
C-145°
D-134°
Answer: C
Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.
Hellllp someone please
Answer:
296
Explanation:
To solve this problem, subtract 128 from 424.
424 - 128
296
Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.
Answer: 296 points
Step-by-step explanation:
424 - 128 = 296
30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:
Answer:
2(x + 11) > -2
_________________________________________________________
I feel like we are missing information here, can you comment it down below.
Answer
13
Step-by-step explanation:
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.
Answer:
B, C, and D
Step-by-step explanation:
of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
The graph of the quadratic parent function is:
A. It is a parabola.
B. It is in quadrants I and II.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
To check the characteristics of the quadratic parent function,
let us take the basic quadratic function : y = x²
Below is a graph for this parent quadratic function:
Currently, as shown on the graph below:
Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.
The graph is located in quadrants I and II.
So. These can only be the features of the quadratic parent function's graph.
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The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
Which equation has a k-value of -5? A y=5x+3 B y=5x+5 C y=3x−5 D y=−5x
Answer:
NANI!?5
Step-by-step explanation:
Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS? answer: A) ∠C ≅ ∠L B) ∠B ≅ ∠K C) cb ≅ lk D) ab≅ jk
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
Answer:
A) ∠C ≅ ∠L
Step-by-step explanation: I took the test
