Louise runs the first half of a race at 5 miles per hour. then she picks up her pace and runs the last half of the race at 10 miles per hour. what is her average speed on the course?

Answers

Answer 1
her average speed would be 15 mph

Related Questions

Two circles are concentric if they have the same center.

Answers

This is true. Think about the roots "con-" and "centric" in the word concentric. The word "connect" shares that "con-" prefix, so you know it has something to do with things being shared or associated. And "centric" fairly intuitively suggests a center, so together those meanings suggest that "concentric" means "shared center."

Four balls of wool will make 8 kintte caps.how many balls of wool will ola need if she wants to make 6 caps

Answers

She would need 3 balls of wool to make 6 knitted caps. YOU'RE WELCOME :)

Which of the following is a solution to the inequality y > –2x + 6? a.(4, 4) b.(0, 0) c.(1, 1) d.(2, 2)

Answers

A. 4 is greater than -2(4) + 6 = -8 + 6 = -2 which is correct

B. 0 is greater than -2(0) + 6 = 6

That statement is untrue.

C. 1 is greater than -2(1) + 6 = 4

That statement is untrue.

D. 2 is greater than -2(2) + 6 = 2

That statement is untrue.

The answer is A since after you plug in 4 for x and y, the statement 4 > -2 is true. 4 IS greater than -2.

The correct answer is a.(4, 4) because when you substitute x = 4 and y = 4 into the inequality y > -2x + 6, the inequality holds true, indicating that (4, 4) is a solution.

To determine which of the given points is a solution to the inequality y >
-2x + 6, we substitute the x and y values of each point into the inequality and check if the inequality holds true.

For point (4, 4), substitute x = 4 and y = 4 into the inequality: 4 >
(-2)(4) + 6, which simplifies to 4 > -8 + 6 or 4 > -2, so point (4, 4) is a solution to the inequality.For point (0, 0), substitute x = 0 and y = 0 into the inequality: 0 > (-2)(0) + 6, which simplifies to 0 > 6, which is not true, so (0, 0) is not a solution.For point (1, 1), substitute x = 1 and y = 1 into the inequality: 1 > (-2)(1) + 6, which simplifies to 1 > -2 + 6 or 1 > 4, which is not true, so (1, 1) is not a solution.For point (2, 2), substitute x = 2 and y = 2 into the inequality: 2 > (-2)(2) + 6, which simplifies to 2 > -4 + 6 or 2 > 2, which is not true, so (2, 2) is not a solution.

Therefore, the correct answer is a.(4, 4), since it is the only point that satisfies the inequality y > -2x + 6.

A rectangular garden measures 38m by 20m, to the nearest metre. Calculate the maximum possible area of the garden.

Answers

The answer would be 760m^2. In order to solve this you must multiply the legnth (38m) by the width (20m) and put m^2 at the end of the unit to show that it's area.

What is 8.61×10−88.61×10−8 in decimal form? 0.000000861 0.0000000861 8,610,000 861,000,000?

Answers

0.000000861 is the answer

If only one number in a fraction is negative,does that mean the whole fraction is negative

Answers

Yes it does mean the whole fraction is negative

A die is rolled twice. what is the probability of showing a 3 on both rolls?

Answers

The probability of showing a 3 on the first roll is 1/6.
The probability of showing a 3 on the second roll is 1/6.

Because the two rolls are independent events, the probability of showing a 3 on both rolls is
(1/6)*(1/6) = 1/36

Answer: 1/36

write "all horses drink water" as a conditional statement

Answers

All horses drink water because they are living creatures.

A theorem is a statement that can be easily prove using a corollary

Answers

False. Although, I'm not 100% sure.

⇒A theorem is a statement that can be easily prove using a corollary

False Statement

Corollary Means , a Theorem written in another way , when it has been proved.

For Example:The Sum of Angles of Triangle is 180°.-----Theorem

Corollary→If  three distinct rays intersect at three points , and sum of interior Angles formed at their point of Intersection is 180°, then it is a Triangle.

Correct Statement will be:

     A theorem is a statement that can be easily proved using an Axiom or Postulate.

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 +9x - 14 =0

Answers

x^2 + 9x - 14 = 0
x^2 + 9x = 14
x^2 + 9x + 20.25 = 14 + 20.25
(x + 4.5)^2 = 34.25
x + 4.5 = (+-) sqrt 34.25
x = - 4.5 (+-) 5.85

x = -4.5 + 5.85 = 1.35 <=
x = -4.5 - 5.85 = -10.35 <=

Find all real and imaginary zeros for a polynomial function

Answers

For the answer to this, we turn to the all-important Fundamental Theorem of Algebrawhich states that every degree-n polynomial has exactly imaginary roots. It's important to keep in mind that this theorem doesn't tell you how to find these roots - it just tells you that they exist.
Final answer:

A polynomial function is an algebraic expression with one or more terms. The real zeros can be found by setting the function equal to zero and solving for x. The imaginary zeros can be found using the complex conjugate theorem.

Explanation:

A polynomial function is an algebraic expression that consists of one or more terms. The real zeros of a polynomial function are the values of x that make the function equal to zero. To find the real zeros, set the polynomial function equal to zero and solve for x using methods such as factoring, synthetic division, or the quadratic formula.

The imaginary zeros of a polynomial function are the values of x that make the function equal to a complex number. These can be found by using the complex conjugate theorem. If a + bi is a zero, then a - bi is also a zero, where a and b are real numbers and i is the imaginary unit, sqrt(-1).

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In six years, Clem Kadiddlehopper will be five times as old as he was 26 years ago. How old is he now?

Answers

124???? 5 times 26 = 130 - 6 = 124 but thats old soo

Can someone check this for me? Thanks.

(b) Suppose it is also known that AD ≅ CD. Which postulate or theorem can be used to prove that ΔABD ≅ ΔCBD?


I'm guessing it's the SAS congruence postulate but I'm not very good at this so I'm not sure.

Answers

yes it's SAS
AD = CD (given)
BD = BD (common side )
but since it didn't say AC丄BD
it's no way to prove the angels r 90° :/

but as it already given AD= CD
so it's proven that it's an isosceles triangle
therefore
∠BAD = ∠BCD (base ∠s isos. ∆)

therefore it's SAS (side angel side)

Which ordered pairs in the form (x, y)(x, y) are solutions to the equation

7x−5y=287x−5y=28 ?

Select each correct answer.

(4, 10)(4, 10)
(−1, −7)(−1, −7)
(7, 9)(7, 9)
(−6, −14)

Answers


(−6, −14)(−1, −7)
are the answers

hey! are you in 8th grade K12? if so you should join my study group on skype! if you are interested just say the word and ill send you a invite! and if you cant get skype then we can use "discord", which you can use on a web browser!
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Beliefs to the left of center emphasize the need for

Answers

Beliefs that run left of the center on the political spectrum can be seen as those having more liberal views, but also cognizant of other perspectives. Specifically so, these beliefs tend to emphasize the need for balance when it comes to the political and economic environment.

A line passes through (−1,−6) and (7,2) .Find the slope-intercept form of the equation of the line. Then fill in the value of the slope, m, and the value of the y-intercept, b, below.

Answers

slope = 1
y intercept = -5

The equation of the line passing through the points (- 1, -6) and (7, 2)  will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.

What is the slope intercept form of a straight line?

The slope intercept of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a straight line passing through the points (- 1, -6) and (7, 2)

We have a straight line that passes through the coordinates as follows -

(- 1, -6)

(7, 2)    

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 + 6)/(8)

m = 8/8

m = 1

The line is passing through the point (7, 2). We can write -

y = mx + c

y = x + c       [m = 1]

2 = 7 + c

c = 2 - 7

c = -5

The equation of the straight line will be -

y = x - 5

Now, the slope of the line will be [m] = 1 and the y - intercept will be -5.

Therefore, the equation of the line passing through the points (- 1, -6) and (7, 2)  will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.

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HELP!
Solve −2(2x + 5) − 3 = −3(x − 1). (1 point)


−10

−16

16

−13

Solve 4(x + 1) = 4x + 4. (1 point)


1

All real numbers

0

No solution

Answers

the first questions answer is -

-16

the second one is

all real numbers!!

i hope i helped :))

Answer:

all numbers are real

Step-by-step explanation:

Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. the company pays $55 a day for food and lodging and $0.45 for each mile traveled. rita drove 300 miles and was reimbursed $2,335. part
a.create an equation that will determine the number of days x on the trip part
b.solve this equation justifying each step with an algebraic property of equality. part
c.how many days did rita spend on this trip? (1 point)

Answers

Let x be the number of days 
Let y be miles travelled 
Let z be total cost 

a) 55x+0.45y=z
55x+0.45(300)=$2,335

b) 55x+135=$2,335 
55x=2335-135
55x=2200
x=2200/55
x=40 

c) She spent 40 days

Hope I helped :) 

if 120 marks is 60% what is full marks

Answers

let's say is "x", so, then "x" is the 100%, and we know that the 60% is 120, what the dickens is "x" anyway?

[tex]\bf \begin{array}{ccll} marks&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ x&100\\ 120&60 \end{array}\implies \cfrac{x}{120}=\cfrac{100}{60}\implies x=\cfrac{120\cdot 100}{60}[/tex]

How much is 5lbs to kg?

Answers

the answer is 2.26796 i am pretty sure

1 pound = 0.453592 kg

5 x 0.453592 = 2.26796 kg

 round to 2.27 kg

Which shows the reflection of the figure over the line

Answers

Answer:

The answer appears to be A

Step-by-step explanation:If you redrew the answer backwards, the reflection would match the first one


Answer:

Step-by-step explanation:

PleAse help and show how you got it if you don’t mind

Answers

1)

[tex]\bf \textit{surface area of a cube}\\\\ s=6x^2\quad \begin{cases} x=\textit{length of a side}\\ ---------\\ s=150 \end{cases}\implies 150=6x^2\implies \cfrac{150}{6}=x^2 \\\\\\ 25=x^2\implies \sqrt{25}=x\implies \boxed{5=x}[/tex]

3)

[tex]\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{b^2h}{3}\quad \begin{cases} b=\textit{base's side}\\ h=height\\ -------\\ h=3\\ V=25 \end{cases}\implies 25=\cfrac{b^2\cdot 3}{3}\implies 25=b^2\cdot \cfrac{3}{3} \\\\\\ 25=b^2\cdot 1\implies 25=b^2\implies \sqrt{25}=b\implies \boxed{5=b}[/tex]

What are the next two numbers in this pattern? 5, â30, 180, â1080, . . ?

Answers

Pattern is times 6.
So the next values are 6480 and 38880

From a normally distributed population, a simple random sample of size 30 is taken. The mean of the sample is 144 and the standard deviation of the sample is 12.
Which interval is the 90% confidence interval for the population mean?

(139.7, 148.3)
142.4, 145.6)
143.3, 144.7)
140.4, 147.6)

Answers

Answer: Choice D
The 90% confidence interval for the population mean mu is (140.4, 147.6)

--------------------------------------------------------------
--------------------------------------------------------------

Work Shown:

xbar = 144 (sample mean)
s = 12 (sample standard deviation)
n = 30 (sample size)
z = 1.645 (critical value at 90% confidence; use a calculator or table to compute this value)

The lower limit of the confidence interval is L, which is found by
L = xbar - z(s/sqrt(n))
L = 144 - 1.645(12/sqrt(30))
L = 140.395985571616
L = 140.4

Similarly the upper limit U is
U = xbar + z(s/sqrt(n))
U = 144 + 1.645(12/sqrt(30))
U = 147.604014428384
U = 147.6

The 90% confidence interval is therefore (L,U) = (140.4, 147.6)

The 90% confidence interval for the population mean is (140.4, 147.6), derived from a sample with a mean of 144 and a standard deviation of 12.

Let's break down the steps used to calculate the 90% confidence interval for the population mean:

- Sample mean ([tex]\bar{x}[/tex]): 144

- Sample standard deviation (s): 12

- Sample size (n): 30

- Critical value at 90% confidence (z): 1.645

The formula for the confidence interval is:

[tex]\[ (\bar{x} - z \cdot \frac{s}{\sqrt{n}}, \ \bar{x} + z \cdot \frac{s}{\sqrt{n}}) \][/tex]

Calculate the standard error (SE):

SE = s / sqrt(n)

SE = 12 / sqrt(30)

SE ≈ 2.188

Calculate the margin of error (ME):

ME = z * SE

ME = 1.645 * 2.188

ME ≈ 3.594

Calculate the lower limit (L):

L = [tex]\bar{x}[/tex] - ME

L = 144 - 3.594

L ≈ 140.406

Calculate the upper limit (U):

U = [tex]\bar{x}[/tex] + ME

U = 144 + 3.594

U ≈ 147.594

So, the 90% confidence interval for the population mean is approximately (140.406, 147.594), which rounds to (140.4, 147.6) when considering the appropriate level of precision. Therefore, the correct answer is (D) (140.4, 147.6).

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A local theater has floor seating, balcony seating, and box seating. if the theater contains 2,500 seats with 425 seats in the balcony and 215 box seats, how many seats are on the floor?

Answers

1,860 seats on the floor

Mark draws one card from a standard deck of 52. he receives $ 0.45 for a club, $ 0.55 for an ace and $ 0.75 for the ace of clubs. how much should he pay for one draw?

Answers

Mark should pay $0.1692 for one draw.

To calculate how much Mark should pay for one draw, we need to find the expected value, which is the sum of the products of each outcome's probability and its associated value.

Calculate the probabilities:

Probability of drawing a club: [tex]\( \frac{13}{52} = \frac{1}{4} \)[/tex]

Probability of drawing an ace: [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex]

Probability of drawing the ace of clubs: [tex]\( \frac{1}{52} \)[/tex]

Calculate the expected values:

Club: [tex]\( 0.45 \times \frac{1}{4} = 0.1125 \)[/tex]

Ace: [tex]\( 0.55 \times \frac{1}{13} = 0.0423 \)[/tex]

Ace of clubs: [tex]\( 0.75 \times \frac{1}{52} = 0.0144 \)[/tex]

Sum the expected values:

[tex]\( 0.1125 + 0.0423 + 0.0144 = 0.1692 \)[/tex]

Thus, Mark should pay $0.1692 for one draw.

Kate is constructing an equilateral triangle. She has already used her straightedge to construct the line segment shown.

A line segment with endpoints labeled as A and B.

What should Kate do for her next step?

Use the straightedge to draw a line that passes through point A.

Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

Use the straightedge to draw another line segment that does not intersect AB¯¯¯¯¯.

Place the point of the compass on point A and draw an arc, using a width for the opening of the compass that is less than 12AB.

Answers

The next step that Kate should take in construction of an equilateral triangle after using a straight edge to construct the given line segment is;

Option B; Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

This is about steps involved in constructing an equilateral triangle which means 3 equal sides.

First step; This first step entails drawing a line with the given measurement of the side of the equilateral triangle and label it AB

Second step; This step entails placing the point of the compass at point A and opening the leg to touch point B which means length AB will be the width to be used to draw an arc.

Step 3; The same process in step 2 is carried out but this time the point of the compass will be placed at point B and opening the second leg to touch point A which means length AB will be the width to be used to draw an arc to intersect the other one drawn.

Step 4; The point of intersection is now joined by a straight line to points A & B respectively.

Thus, option B is the correct next step.

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help me solve this???

3p - 1 = 5(p - 1) - 2(7 - 2p)

Answers

Hey there!

[tex]3p - 1 = 5(p-1)-2(7-2p) Use the distributive property 3p - 1= (5)(p)+(5)(-1)+(-2)(7)+(-2)(-2p) 3p - 1 = 5p - 5 - 14 + 4p 3p - 1= 9p - 19 3p - 9p =-19 + 1 -6p = 18 Divide both sides by -6 -6p/-6 = -18/-6 p = 3 Best of luck with your studies! [/tex]

A person boards the loading station of a Ferris wheel 21 feet off the ground. The wheel is always rotating at a constant rate. He wants to ride all day. Forty minutes after the wheel opened , he is at the highest point on the wheel, 443 feet high. He is at the exact same location 28 minutes later. The question is the generate 5 points which represent elapsed time and height? X elapsed time(minutes) Y height(feet)

Answers

Im going to guess you want a sinusoidal function. Its been a while but I can tell you most of it
(443-28)/2 is the amplitude
28 minutes is the period
40-28 is the horizontal shift
(443-28)/2+28 is the vertical shift

Write the equation of the line perpendicular to the given line and passing through the given point: y=3x−2 through (3,4)

Answers

Answer:

all work is shown and pictured

Answer:

y= -1/3x+5

Step-by-step explanation:

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