Let V1[1 -9 7 ] V2[7 -6 -8] V3[13 -2 -4] and H = Span {V1,V2,V3} It can be verified that 4v_1 + 5v_2 - 3v_3 = 0. Use this information to find a basis for H.
A basis for H 

Answer:

x>-2

Step-by-step explanation:

3 times five is fifteen, which is larger than 12, so all x needs to be is be bigger negative 2.

Answer:

Step-by-step explanation: 7 miles: 3/4 hour, 9/8 miles: 5/6 hour, and 4 miles: 3 and 1/3 hour.

hope this helps !! <3

The ratios that have a unit rate is 9/8 miles:5/6hours and 7miles: 3/4 hours

Unit rate is the ratio of the distance travelled o the time taken.

For us to know which of the ratios has a unit rate greater than 1, we need to divide the distance by the time as shown;

If distance = 9/8 miles and time = 5/6 hours

\(Unit \ rate =\frac{(9/8)}{(5/6)}\\Unit \ rate =\frac{9}{8} \times \frac{6}{5}\\Unit \ rate = \frac{54}{40} \\Unit \ rate =1.35 miles/hour\)

Hence the ratio that has a unit rate is 9/8 miles:5/6hours

If distance = 7 miles and time = 3/4 hours

\(Unit \ rate =\frac{7}{(3/4)}\\Unit \ rate =\7 \times \frac{4}{3}\\Unit \ rate = \frac{28}{3} \\Unit \ rate = 9.33miles/hour\)

Hence the ratio that has a unit rate is 7 miles:3/4hours

Learn more here: https://brainly.com/question/8406966

All the values that are possible here are (1, 36) (4,9) (9,4), and (36,1).

The possible values of and b are (1, 36) (4,9) (9,4), and (36,1).

Given: The LCM of a and b is 36 and HCF is 1

To find: The values of a and b?

Here is the solution:

The two numbers are a and b.

LCM of a and b is 36.

HCF of a and b is 1

We know that,

product of two numbers = LCM * HCF

                                       =       A*B=36*1

i.e                                  =        a, b=36,1

in a similar way:

The all-possible values of and b are (1, 36) (4,9) (9,4), and (36,1).

to know more about LCM and HCF:

https://brainly.com/question/17437347

Answer:

DISTANCE=RATE*TIME. THEREFORE

X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN)

X=.6+.7

X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.

Step-by-step explanation:

Answer:

0.1 km apart

Step-by-step explanation:

10 mins is 10/60 of an hour

For Randy: 3.6 * 10/60 = 0.6

For Amy: 4.2 * 10/60 = 0.7

0.7 - 0.6 = 0.1

Answer:

24.c

Step-by-step explanation:

the a sweer is 24.3 ..

the tangent equation to the given curve that passes through the point (10, 8) is 8x - 10y = -52.

To find the tangent equation to a curve, we need to find the slope of the curve at the given point. The slope of the curve is given by the derivative of y with respect to x, dy/dx.

For the given curve, we have x = 6t^2 + 4 and y = 4t^3 + 4.

Taking the derivative of y with respect to x, we have dy/dx = (dy/dt)/(dx/dt).

First, we find dx/dt by differentiating x with respect to t: dx/dt = 12t.

Next, we find dy/dt by differentiating y with respect to t: dy/dt = 12t^2.

Now, we can find the slope of the curve at any point (x, y) by evaluating dy/dx = (dy/dt)/(dx/dt) at that point.

For the point (10, 8), we need to find the value of t that corresponds to x = 10. Solving the equation x = 6t^2 + 4, we find t = ±√((x-4)/6).

Substituting x = 10 and t = √((x-4)/6), we can find dy/dx = (dy/dt)/(dx/dt) at the point (10, 8).

After calculating dy/dx, we can use the point-slope form of a line to find the tangent equation. Plugging in the point (10, 8) and the slope, we get the tangent equation 8x - 10y = -52.

Therefore, the tangent equation to the given curve that passes through the point (10, 8) is 8x - 10y = -52.

Learn more about tangent equation here:

https://brainly.com/question/6617153

#SPJ11

ΔTQR ≅ ΔSRQ has been proven using the ASA congruence criterion.

To prove ΔTQR ≅ ΔSRQ, we can use the ASA (Angle-Side-Angle) congruence criterion. Here's the flow proof:

Statement | Reason

ΔTPQ ≅ SPR | Given

∠TQR ≅ ∠SRQ | Given

TP ≅ SP | Corresponding parts of congruent triangles are congruent (CPCTC)

∠TPQ ≅ ∠SPR | Corresponding parts of congruent triangles are congruent (CPCTC)

∠TQR ≅ ∠SRQ | Given

∠TQP ≅ ∠SRP | Vertical angles are congruent

ΔTQR ≅ ΔSRQ | ASA congruence (Angle-Side-Angle) using statements 3, 4, and 6

Therefore, ΔTQR ≅ ΔSRQ has been proven using the ASA congruence criterion.

Learn more about ASA congruence from

https://brainly.com/question/29616338

#SPJ11

Answer:

The answer is corresponfing angles theorem

Answer:

Step-by-step explanation:

Answer:

I would think the answer is 0

Step-by-step explanation:

this is a sort of division and any number divided by itself is always 0

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

Learn more about null hypothesis at: brainly.com/question/30821298

#SPJ11

Answer:
No

Step-by-step explanation:

3(-20-3)-5>23

simplify:

Answer:

2136084 inches

Step-by-step explanation:

Quadrilaterals in the coordinate plane worksheet answer key. However, I can provide you with general information about quadrilaterals and their relationship to the coordinate plane. A quadrilateral is a polygon that has four sides, four vertices, and four angles.

Unfortunately, without the specific worksheet you are referring to, I cannot provide you with a direct answer to the Quadrilaterals in the coordinate plane worksheet answer key. However, I can provide you with general information about quadrilaterals and their relationship to the coordinate plane. A quadrilateral is a polygon that has four sides, four vertices, and four angles. The most common types of quadrilaterals are squares, rectangles, parallelograms, rhombuses, and trapezoids. These shapes can be identified in the coordinate plane by plotting their vertices using the x and y coordinates.
To plot a point in the coordinate plane, you use a pair of numbers, (x, y), where x is the horizontal distance from the origin, and y is the vertical distance from the origin. By plotting the vertices of a quadrilateral in the coordinate plane, you can determine its shape, size, and other properties.
When working with quadrilaterals in the coordinate plane, it is important to understand how to calculate the distance between two points using the distance formula and how to find the slope of a line. These skills will help you determine if a quadrilateral is a parallelogram, if its sides are parallel or perpendicular, and other important properties.
In summary, quadrilaterals in the coordinate plane involve plotting the vertices of the shape using x and y coordinates and using mathematical formulas to determine important properties such as distance and slope.

To know more about coordinate plane visit: https://brainly.com/question/28471473

#SPJ11

The justification for the third step of the proof as given in the task content is; Reflexive property of ~; SSS.

The justification for the fourth step of the proof as required is; Symmetric Property of ~; SSS.

Recall that the; Reflexive Property as used in mathematical operations is such that: x = x. Therefore, the length of line segment ST and the length of line segment TS are equal and the segments are congruent.

Also, it follows from the task content that ∆RST ~ ∆UTS which means that both triangles are congruent by the Symmetric Property of SSS.

Ultimately, the justification for steps 3 and 4 are therefore, Reflexive Property of mathematical operations and the Symmetric property of SSS respectively.

Read more on reflexive and symmetric property;

https://brainly.com/question/17183409

#SPJ1

Answer:

B

Step-by-step explanation:

First quadrant always has a positive and a positive

Answer:

B

Step-by-step explanation:

Just b is correct for first quadrant

Answer:

hope this helps youuuuu

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

To know more about length click here

brainly.com/question/30625256

#SPJ11

plot the equations x = 6sin(t), y = t² + t, and y = (1/6)x. The curve and tangent will intersect at the point (0,0).

The equation of the tangent to the curve at the point (0,0) can be found by taking the derivative of y with respect to x:
dy/dx = (dy/dt)/(dx/dt)
dy/dx = (2t + 1)/(6cos(t))
When t = 0, dy/dx = 1/6. So the equation of the tangent is y = (1/6)x.
To graph the curve and tangent, we can use a parametric plotter or a graphing calculator. The curve is a sinusoidal shape, with the highest point at (6,1) and the lowest point at (-6,-1). The tangent at (0,0) is a straight line with a slope of 1/6, passing through the origin.
To find the equation of the tangent(s) to the curve at the given point (0,0), we first need to calculate the derivatives dx/dt and dy/dt. Given x = 6sin(t) and y = t² + t, the derivatives are:
dx/dt = 6cos(t)
dy/dt = 2t + 1
Now, find the slope of the tangent(s) by calculating dy/dx:
dy/dx = (dy/dt) / (dx/dt) = (2t + 1) / (6cos(t))
At the given point (0,0), t = 0. So, substitute t = 0 to find the slope:
dy/dx = (2(0) + 1) / (6cos(0)) = 1 / 6
Since the slope is 1/6, the equation of the tangent is y = (1/6)x.
To graph the curve and tangent, plot the equations x = 6sin(t), y = t² + t, and y = (1/6)x. The curve and tangent will intersect at the point (0,0).

To know more about tangent visit:

https://brainly.com/question/10053881

#SPJ11

The total amount of the money earned by Paige will be $1591.92.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Paige works at a department store and has a commission rate of 3 per cent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter.

The total amount of earnings will be,

TA = ( 50 x 30 ) + ( 0.02 x 4596)

TA = 1500 + 91.92

TA = $1591.92

Therefore, the total amount of the money earned by Paige will be $1591.92.

To know more about an expression follow

https://brainly.com/question/20693287

#SPJ1

Answer:

DC and EF are parallel

Step-by-step explanation:

Parallel lines are indicated by arrow heads on the segments that are parallel.

In this case DC and EF

The expression that can be used to represent 8 friends sharing one-sixth of a gallon of lemonade equally is one sixth ÷ 8

You can use these steps to evenly distribute the one-sixth gallon of lemonade among your eight friends:

Start by dividing the quantity of friends by one-sixth gallon of lemonade:

eight pals + one-sixth gallon

Divide the numerator and denominator by their greatest common factor, in this case 2 to simplify the division:

8 buddies times one-sixth gallon is one-twelfth gallon per friend.

Give each friend a 12th gallon of lemonade.

You can divide the container of lemonade into 12 equal parts and give one part to each friend, or you can use a measuring cup to scoop out 1/12 gallon of lemonade.

To know more about measuring, visit

https://brainly.com/question/4725561

#SPJ1

The expression found using a unitary method that shows how one-sixth of a gallon of lemonade is shared equally among 8 friends is

(1/6th of a gallon)/8.

What is the unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, and then multiplying that value to determine the required value. This method allows us to calculate both the value of many units from the value of one unit. Prior to calculating the values of additional or fewer quantities, we always count the value of a unit or one quantity. This method is known as the unitary method for this reason. Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

It is given that there is 1/6th gallon of lemonade available.

This is to be shared equally among 8 friends.

So we are asked to find an expression to show how much amount of lemonade each friend gets.

This can be done using the unitary method.

Now 1/6th of a gallon  = 8 friends

So 1 friend = (1/6th of a gallon)/8

Therefore the expression found using a unitary method that shows how one-sixth of a gallon of lemonade is shared equally among 8 friends is (1/6th of a gallon)/8.

To learn more about the unitary method, follow the link.

https://brainly.com/question/24587372

#SPJ1

The standard error of the mean for each sampling situation is: (a) 6,(b) 3,(c) 1.5

to find the standard error of the mean for each sampling situation, you can use the formula:

Standard Error of the Mean (SEM) = σ / √n
where σ is the population standard deviation and n is the sample size.

(a) For σ = 12 and n = 4:
SEM = \(12 / √4 = 12 / 2 = 6\)

(b) For σ = 12 and n = 16:
SEM = \(12 / √16 = 12 / 4 = 3\)

(c) For σ = 12 and n = 64:
SEM = \(12 / √64 = 12 / 8 = 1.5\)

Please note that these values are rounded to 2 decimal places as requested.

Learn more about mean from the following link,

https://brainly.com/question/30094057

#SPJ11

Answer:

Aprove or deny a loan

Step-by-step explanation:

If the bank knows you can't pay them back they won't.

They choose this by checking your net worth.

Answer:

$4866.61

Step-by-step explanation:

the two shapes are similar but scaled differently

this ratio is 2:3 (EF:AB)

so to find y we’ll set this up

2/3= y/4.5

and solve for y

4.5(2/3) = y

y = 9/3

y = 3

The starting point is something that need not be explained for its truth is evident. The mind directs and is the cause of everything. Must be able to rest with certainty within these things.

The number being divided (in this example, 15) is known as the dividend, and the number being divided by (in this case, 3) is known as the divisor. The number to be split or dispersed into a given number of equal parts in a division problem is referred to as the dividend. As in the preceding example, when we split 20 apples among 5 persons, the dividend is the number 20; and the divisor is the number 5. Dividend = Divisor x Quotient + Remainder is the Math formula for calculating the dividend. Typically, when we divide one integer by another, we get x/y = z. Here, x represents the dividend, y represents the divisor, and z represents the quotient.

To know more about dividend,

https://brainly.com/question/3793998

#SPJ4

The function will be odd when :

So, as shown in the figures

None of the given is odd function

The answer is option 1