Suppose a vector y is orthogonal to vectors u and v. show that y is orthogonal to the vector u v.

Answer: 13512

100332

Step-by-step explanation:

The shortest time for her run is approximately 36 minutes and the longest time is approximately 67 minutes.

To represent Kenzie's situation, we can use an absolute value equation. Let x represent the length of her run in miles.

The equation would then be |x - 6| ≤ 1, which means the distance between x and 6 is less than or equal to 1.

To find the shortest or longest amount of time for Kenzie's run, we need to consider the speed.

The time can be found by dividing the distance by the speed, so the minimum time would be (6 - 1)/6.25 hours,

which is approximately 0.6 hours or 36 minutes.

The maximum time would be (6 + 1)/6.25 hours,

which is approximately 1.12 hours or 67 minutes.

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6.8x10^6, 6.6x10^6, 6.1x10^6, 6x10^

Answer:

6 x 10^6, 6.1 x 10^6, 6.6 x 10^6, 6.8 x 10^6

Step-by-step explanation:

Answer:

Yes because first ( right to left)  4 is 400,000 while the other 4 is 40,000

Step-by-step explanation:

40,000x 10= 400,000

thanks

Answer:

D. (2z-1)

Step-by-step explanation:

If you solve 6x^2-3z-2+4z you should get (2z-1)(3z+2). Which automatically gives you a factor of 2z-1.

The unknown number is 8.

Let the unknown number be x.

According to the given question.

We have a phrase "Triple a number decreased by 25 is equivalent to five less than half the same number".

Therefore, the equation for the phrase "Triple a number decreased by 25 is equivalent to five less than half the same number" is given by

3x - 25 = x/2 - 5

To find the unknown number we have to solve the above equation for x.

Therefore,

3x - 25 = x - 10/2

⇒ 6x - 50 = x - 10

⇒ 6x - x = -10 + 50

⇒ 5x = 40

⇒ x = 40/5

⇒ x = 8

Hence, the unknown number is 8.

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By observation or by inspection, 7.40 appears the most, thus mode.

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.

Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.

The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.

When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.

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Answer: Non-rectangular Parallelogram

The opposite sides are parallel, but the figure is not a rectangle. It's also not a square either since those figures have an axis of symmetry.

Answer: 1: (0,-5) 2: (0.5,1) 3: (1.5, -4.5) 4: (-2.5,-0.5)

Step-by-step explanation:

Answer:

15, 30, 45, 60

Step-by-step explanation:

ALL OF THE MULTIPLES OF 15

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735

All numbers can be divided or the product of 15 is a multiple of 15.

Answer:

See below

Step-by-step explanation:

The first one scales UP from 4 to 6     F'G'/FG =    factor is  6/4 = 1.5

second one scales DOWN from 4 to 3  

        F'G' / FG = scale factor is 3/4

Third one is scaled DOWN

F'G' / FG =    2/4 = 1/2

Note when scale is DOWN the factor is less than one

  when scale is UP , factor is more than one

After simplifying the equation we acquire the value of x as:

x = 1.225 or x = ₋12.225

Given the equation is x² ₊ 11x ₊ 15 = 30

arrange the constants on one side.

x² ₊ 11x = 30 ₋ 15

x² ₊ 11x = 15

x² ₊ 11x ₋ 15 = 0

now simplify the equation using the formula: -b±√b²₋4ac / 2a

in the equation we have the values for a = 1 , b = 11 and c = ₋15

substitute the values and get the value of x.

= ₋11 ± √(11)² ₋ 4(1)(₋15) / 2(1)

= ₋11 ± √121 ₊ 60 / 2

= ₋11 ± √181 / 2

= ₋11 ± 13.45 / 2

= ₋11 ₊ 13.45 / 2 or ₋11 ₋ 13.45 / 2

= 2.45/2 or ₋24.45/2

= 1.225 or ₋12.225

Therefore x value is 1.225 or ₋12.225

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In the word "SASSAFRAS", there 2520 permutations can be formed.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The order of arrangement in permutation is in linear form.

In the given word is “SASSAFRAS”. There are total 9 letters in which some letters appears several times, that is

 S = 4 times.

 A = 3 times.

 F = 1 times.

 R = 1 times.

We can the number of permutation to arrange this letter with the help of :

nPr = n! / (n - r)!

nPr = Permutation

n = Total number of objects

r = Number of objects selected

'!'     =     Factorial

Factorial (noted as “!”) is the product of all positive integers less than or equal to the number preceding the factorial sign. For example, 3! = 1 x 2 x 3 = 6.

So, nPr  =  9!/(4!) (3!) (1!) (1!)

              = (9×8×7×6×5×4×3×2×1)/(4×3×2×1)×(3×2×1)×(1)×(1)

              = 3,62,880/ 24×6×1×1

              = 3,62,880/144

              = 2,520

Hence, 2520 permutations can be formed from the word 'SASSAFRAS'.

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The points in the brackets are on the graph are (0, 2) and (6, 10)

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

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Answer: x = 7 ft, DO = 25 ft, OG = 35 ft

Step-by-step explanation:

        We will write an equation using the segment addition postulate.

Given by segment addition postulate:

   DO + OG = DG

Substitute known values:

   (4x - 3) ft + (2x + 21) ft = 60 ft

Combine like terms and simplify:

   6x + 18 ft  = 60 ft

Subtract 18 ft from both sides of the equation:

   6x  = 42 ft

Divide both sides of the equation by 6:

   x = 7 ft

        Now, we will "plug" this value in and solve for the segments.

DO ➜ (4x - 3)ft ➜ (4(7) - 3) ft ➜ 28 - 3ft = 25 ft

OG ➜ (2x + 21) ➜ (2(7) + 21) ft ➜ 14 + 21 = 35 ft

The radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.

We have that:

Radius of the water pipe = 0.74 cm

r = 0.74 cm

It fills a 12 L bucket in 4 minutes

1 L = 1000 cm³

12 L = 12,000 cm³

Volume of water put in the pool = 12,000 cm³

Height of the pool that rise = 5 mm = 0.5 cm.

H = 0.5 cm

Let the radius of the pool be R.

Volume = π r² h

Substituting the values, we get that:

12,000 = ( 22 / 7 ) R² ( 0.5 )

R² = 7636.36

R = 87.39 cm

Therefore, we get that, the radius of the pool with height as 0.5 cm and volume as 12,000 cm³ is 87.39 cm.

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Answer: No, Nathan didn't measure angle correctly

Step-by-step explanation:

The sum of angles that are formed on a straight line is equal to 180°

So the value angle q is 80° because the sum of angle q and 100° is 180°

                                  ∠q= 180°-100°

                                    ∠q= 80°

No, Nathan didn't measure angle correctly.

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Answer: D e acute

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

0.8% as a decimal is 0.08.

Hope this helps!

Please mark as brainliest if correct!

Answer:

.8% = 0.08

Imagine the hundredths place(2 DP) as the ones place, and the tenths place as the tens place like in 57%, that would be 0.57 because it's double digit.

Hope this helps.

Step-by-step explanation:

let the larger number=n

then the smaller number=½n

We conclude from the question that

n+½n=75

3/2n=75

3n=150

n=150/3=50

Therefore the larger number=50 and the smaller number=½×50=25

Answer:

It is the size of a cube that is 1 yard on a side. It is about 202 gallons or about 765 liters. A cubic foot is a unit of volume. It is the size of a cube that is 1 foot on a side. It is about 7.5 gallons or about 28.3 liters. Cubic Yards to Cubic Feet Conversions (some results rounded)

Step-by-step explanation:

The difference between the two points ; (-3,10 )

given

(-4,-1)  and (1,-9)

here we have to find the difference between -4 and -1

which is -3 so u go -3 spaces left so it would be -3

then , find the difference between 1 and -9 which is 10 so u go 10 spaces down so the difference between is;

(-3,10).

therefore the distance between two point are (-3,10)

Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.to know more about distance.

We will use the distance formula in order to find the distance between points a and b. By substituting the points A(3, 4) and B(1, 2) in the above formula we get our required distance d. Hence, distance d = 2√2 units

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well, she really began with "x" total.

then she sold half of that, so hmmm 1/2 of "x" is just x/2 and she's left with half, so she sold x/2 and she was left only with x/2, and then she bought 17 more, we also know that she has 31 now, so

[tex]\stackrel{\textit{leftover}}{\cfrac{1}{2}x}~~ + ~~\stackrel{\textit{more bought}}{17}~~ = ~~\stackrel{\textit{now she has}}{31}\implies \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left(\cfrac{x}{2}~~ + ~~17 \right)~~ = ~~2(31)}\implies x+34=62\implies \LARGE \begin{array}{llll} x=28 \end{array}[/tex]

The sphere's equation that passes through the given point is:

To find the equation of the sphere:

So,

Now,

[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]

Supplement the center point and radius into the standard sphere equation:

[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]

Therefore, the sphere's equation that passes through the given point is:

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The correct question is given below;

Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).

Given that the distance AB is (260), let A be the points (a,2a-1) and B be the places (2a+4,3a+9) where "a" is a constant.

discover the several meanings of "a." noting that an is an integer An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Fractions in Math, represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing. Fractions are represented in the form of p/q. For example, ¼, ½, ¾, and so on.

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It is found that total 67 students voted for eagle.

Two ratios are set to be equal in an equation called a proportion.

Given students at Woodward elementary voted for a school mascot.

Falcon received 5/8 of the vote, winning the post.

Eagle turned up second with 1/3 of the remaining votes.

Total number of students voted for a mascot = 536

The total amount of votes falcon received = 5/8 × 536

= 67 × 5

= 335 votes

Subtract the votes received by falcon from the total number of votes.

= 536 ₋ 335

= 201

Now the remaining votes are 201, from the remaining votes eagle received 1/3 of it.

votes gained by eagle = 1/3 × 201

= 67

Therefore 67 students voted for the eagle.

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Answer: The answer will be D

Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C