1. The range between the highest and lowest temperatures recorded in
Houston is 78 °F. If the record high is 100 °F, what is the record low
temperature? *

Answer:

Quadratic

Step-by-step explanation:

Given function is a quadratic function.

There are many key features in a quadratic graph such as the zeroes (x-intercepts, also known as the roots), y-intercept, axis of symmetry, and the vertex.

The graph of a quadratic function is a parabola, which has several important properties:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the parabola, depending on whether the parabola opens upward or downward, respectively.

Axis of symmetry: The axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. It passes through the vertex and is perpendicular to the directrix.

Directrix: The directrix is a horizontal line that is located at a distance equal to the distance between the vertex and the focus. It is perpendicular to the axis of symmetry and reflects the parabola onto itself.

Focus: The focus is a point on the axis of symmetry that is located at a distance equal.

As we can see that given graph has two roots and it is symmetric to the line parallel to the y-axis.

From the graph we know this is a quadratic function { a parabola with respect to symmetry and axis symmetry}

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Step-by-step explanation:

In the first week of his running plan,the number of miles covered = 5 miles

Weekly mileage will increase by 3.5 miles every week.

At the end of second week, the number of miles covered = 5 + 3.5 = 8.5

At the end of third week, the number of miles covered = 8.5 + 3.5 = 12

The series is 5, 8.5, 12, ...

Consider this as an AP, where a = 5, d = 3.5

By formula,  

 [tex]a_{n} = a + (n-1)d[/tex]

Substituting the values in the above equation, we get

 [tex]a_{11} = 5 + (10-1) 3.5[/tex]

= 5 +(9)3.5

= 5 + 31.5

=36.5 miles.

Gavin would be expected to run during 36.5 miles during his 11th week of the training plan

Answer:

Nina is 25, Sam is 15

Step-by-step explanation:

5 years ago, Nina was 2S, and Sam was S.

In 5 years, she will be 1.5S and Sam is S.

In a span of 10 years, she will be 0.5S less.

20, 10 5 years ago

Currently, 25 and 15 years.

30 and 20 years in 5 years.

20*1.5=30

By solving from an expression Nina is currently 25 years old and Sam is currently 15 years old.

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

Let's start by assigning variables to their current ages. Let N be Nina's current age and S be Sam's current age.

We know from the first sentence that 5 years ago, Nina was twice as old as Sam. So we can set up an equation based on that:

N - 5 = 2(S - 5)

Expanding the right side:

N - 5 = 2S - 10

N = 2S - 5

Now we can use the second sentence, which tells us that in 5 years Nina will be 1.5 times as old as Sam.

N + 5 = 1.5(S + 5)

Expanding the right side:

N + 5 = 1.5S + 7.5

N = 1.5S + 2.5

We have two equations, one for N in terms of S and one for N in terms of S. We can set them equal to each other:

2S - 5 = 1.5S + 2.5

Solving for S:

0.5S = 7.5

S = 15

So Sam is currently 15 years old. We can use either equation to find Nina's age:

N = 2S - 5

N = 2(15) - 5

N = 25

So Nina is currently 25 years old.

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Answer:

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y = 3x + 4

Step-by-step explanation:

Answer:

1,715

Step-by-step explanation:

100-65=35

x*(.65)=1,115

1,715

Answer:

3 cups of powder

Step-by-step explanation:

8/2 divided by 2=

4/1

4/1 x 3= 12/3

the 12 represents the water and the 3 represents the powder

Answer: 3 cups of powder

Step-by-step explanation

8    12.  first you cross multiply so the equation would be 8x = 24

2     X.   The you do division to get the answe for x                 X = 3

x represents the amount of powder that is needed so you just replace x for cups of powder! And done!

Answer:

A. 25/4

Step-by-step explanation:

[tex](5/2)^{2}[/tex] = 25/4

Answer:

Option D)

The area below the standardized test score is 0.8413

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 5

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(score is below 90)

[tex]P( x < 90) = P( z < \displaystyle\frac{90 - 85}{5}) = P(z < 1)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x < 90) =0.8413 = 84.13\%[/tex]

Thus, the correct answer is

Option D)

The area below the standardized test score is 0.8413

The sum of one and the product of four and a number looks like this: 1 + (4n) or 1 + (4 x n) whatever you prefer.

Answer:

c) 380 m²

Step-by-step explanation:

A = π·r²

= 3.14×121

= 379.94

≈ 380 m²

So the right answer is 12cm.

Look at the attached picture ⤴

Hope it will help u..

Answer:

12

Step-by-step explanation:

Answer:

98/200= 49% B.

Given that both players have the same capacity, we first calculate the total time in minutes for Kenny's music player by multiplying the number of Kenny's songs (320) by the average length per song (4 minutes). The result is 1280 minutes. We then take this number and divide by the average length of Kylee's songs (5 minutes) to find that Kylee's music player holds 256 songs.

In this problem, we are given that Kenny and Kylee's music players have the same capacity, but Kylee's songs are longer on average. We are asked to find out how many songs Kylee has on her player assuming it is at full capacity. To do this correctly, we first need to understand that we're dealing with an issue of equal music player capacities, but the time a song occupies on each player is different.

Let's calculate the total capacity of the music player in minutes, we multiply the number of Kenny's songs (320) by the average length of each song (4 minutes), giving us 1280 minutes.

Because both players have the same capacity, Kylee's player can also hold 1280 minutes of music. However, since Kylee's songs are longer on average (5 minutes each), she will have fewer songs on her player. So, dividing the total capacity in minutes (1280) by the length of Kylee's songs (5 minutes) gives us 256 songs. That is the number of songs on Kylee's music player.

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Answer:

He can stand on one leg for 228 seconds.

Step-by-step explanation:

You multiply the 3.8 seconds by 60.

So, 3.8 * 60 = 228

Hope this helps :)

I am pretty sure x is 9 because if you divide 14 by 2 you get 7. 18 divided by 2 is 9.

Answer:

x=9

Step-by-step explanation:

the word similar means the same shape but different sizes. That means that you can think of this problem as ratios. The ratio for the first triangle would be 14:14:18. Since the second ones ratio is 7:7:x we know that the seven was found by dividing 14 by two so we do that with the rest of the of the number to find x you divide 18 by two and get 9. So x=9.

Answer:

$4

Step-by-step explanation:

Answer:

Step-by-step explanation:

79.54*.005=0.3977*100=39.77 or .005*80=.40*100=40

Answer:

3(3x + y)

Step-by-step explanation:

Sorry if its wrong

Answer: 12

Step-by-step explanation: (s-2)(180)=1800, s-2=10, s=12

Using the formula for the sum of the interior angles of a polygon, we can determine that a polygon with an interior angle sum of 1800 degrees has 12 sides.

To determine the number of sides a polygon has based on its interior angle sum, we can use the formula for the sum of the interior angles of a polygon, which is (n - 2) times 180 degrees, where n is the number of sides of the polygon. Given that the sum of the interior angles is 1800 degrees, we can set up the equation n - 2 = 1800 / 180, which simplifies to n - 2 = 10. Solving for n gives us n = 12, so the polygon must have 12 sides.

The expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.

To find out how much money Gary will have left over after purchasing two pairs of jeans, we need to subtract the cost of the jeans from the total amount Gary has.

Total amount Gary has = (10x + 7)

Cost of two pairs of jeans = (2(4x - 5))

Now, subtract the cost of jeans from the total amount:

Leftover money = (10x + 7) - 2(4x - 5)

Let's simplify this expression:

Leftover money} = 10x + 7 - (8x - 10)

Leftover money} = 10x + 7 - 8x + 10

Leftover money} = 2x + 17

So, the expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.

Question

By substituting the given x-values from the table into the equation y = x² + 2x - 4, we found that a=-4, b=-5, c=4, and d=11.

The values of a, b, c, and d can be found by substituting the given x-values from the table into the formula y = x2 + 2x - 4.

For a, place -2 in the equation so we get y = (-2)2 + 2*(-2) - 4 = 4 - 4 - 4 = -4.

For b, place -1 in the equation, and it results y = (-1)2 + 2*(-1) - 4 = 1 - 2 - 4 = -5.

The third value, c, is computed by substituting 2 for x to obtain y = (2)2 + 2*2 - 4 = 4 + 4 - 4 = 4.

Lastly, for d, the y-value when x is equal to 3 is y = (3)2 + 2*3 - 4 = 9 + 6 - 4 = 11.

So, the solutions are a=-4, b=-5, c=4, and d=11.

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Guilherme observed the number of minutes in an hour his dormmates spent on social media sites while they were at the library. He reported his data in the following table. Dormmate Number of minutes on social media Vera 131313 Timothy 000 Manueala 141414 Khaled 363636 Yash 181818 Fernanda 161616 How many dormmates spent less than 202020 minutes on social media sites?

Answer:

15.5

Step-by-step explanation:

First, let's add up all of the minutes on social media.

13+0+14+36+18+12=93 min

Now we need to divide the total by the number of dormmates.

93/6

15.5

Answer:

40

Step-by-step explanation:

Because these angles are the same, we can make an equation, 5x-5=3x+13.

2x - 18  =   2 • (x - 9)

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-9 = 0  

Add  9  to both sides of the equation :  

x = 9

Replace x with 9 in this equation,  3(9) + 13

27+13

=40

Answer:

Frue

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The centre of circle B requires to be coincident with centre of circle A

(- 1, 4 ) → (2, 3 )

That is a translation of < 3, - 1 >

This ensures that the circles are concentric ( have the same centre )

radius of B is 10 and radius of A is 5, thus

dilatation = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

slope=6

y-int=0

just plot this on a graph

Answer:

Out of all four, your answer would be the second choice: Y=0.4X.

Step-by-step explanation:

In order to get the answer, all you have to do this divide any y value you find on the line by the any x-value (as long as they're connected).

In this case, I decided to divide 2 by 5.

2/5 = 0.4.

You can also divide 4 by 10 and 6/15. You'll always get 0.4 as your answer.

P.S. I wish you good luck with the rest of your assignment!!

Answer:

Positive

Step-by-step explanation:

Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.

Answer:

positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

As we know that:

=> ∠ABK=∠KBD=x

=> ∠ABD=2x

=> ∠KDB=∠ABD=2x

∠AKB=∠KDB+∠KBD=2x+x=3x

Please have a look at the attached photo