.................................................

Answer:

8 $10 notes

Step-by-step explanation:

I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.

So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes

Answer: 8

Step-by-step explanation:

Answer:

I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.

The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.

The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis

To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.

In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.

Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))

Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.

To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.

Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force

Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.

Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.

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A basis for the kernel of A is { [2,-1,0,0], [1,0,1,0], [-3,0,0,1] }. To find a basis for the kernel of A, we need to find all solutions to the equation Ax = 0.

This can be done by row reducing the augmented matrix [A|0]:

[A|0] =

[ 1 -2 -1  3|0]

[ 2 -5 -1  6|0]

[-1  2  0 -3|0]

Row reducing this matrix gives:

[ 1 -2 -1  3|0]

[ 0  1  1  0|0]

[ 0  0  0  0|0]

So the system is equivalent to the equations x1 - 2x2 - x3 + 3x4 = 0 and x2 + x3 = 0. Solving for the basic variables in terms of the free variables, we get x1 = 2x2 + x3 - 3x4 and x2 = -x3. So the general solution is:

x = [2x2 + x3 - 3x4, -x3, x3, x4]

 = x2[2,-1,0,0] + x3[1,0,1,0] + x4[-3,0,0,1]

Thus, a basis for the kernel of A is { [2,-1,0,0], [1,0,1,0], [-3,0,0,1] }.

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The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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Answer:

Option 3

Step-by-step explanation:

First tke lcm i.e. 6 then multiply the dinominator to make six.

Multiply tje above no. With the same digit the sub. The numerators

Answer:

c) 7/6

Step-by-step explanation:

The difference will be,

→ (5/3) - (1/2)

→ (10/6) - (3/6)

→ (10 - 3)/6

→ 7/6

So, the answer is 7/6.

Answer:

-22

Step-by-step explanation:

2(n + 3) when n = -14

~Substitute

2(-14 + 3)

~Add

2(-11)

~Multiply

-22

Best of Luck!

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

\(\huge\bold{Given :}\)

✎ Sum of two numbers = \( \frac{5}{22} \)

✎ One of the number = \( \frac{2}{11} \)

\(\huge\bold{To\:find :}\)

✿ The other number.

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\sf\blue{The \:other \:number \:is }\) \( \frac{1}{22} \). ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

❥ Let the other number be \(x\).

❥ As per the question, we have

\(sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} \)

\(\sf\purple{Therefore,\:the\:other\:number\:is}\) \( \frac{1}{22} \).

\(\huge\bold{To\:verify :}\)

\( \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S\)

Hence verified. ✔

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

28g

Step-by-step explanation:

Answer: The item is $42 off.

Step-by-step explanation:

Whenever you have a percentage of a number you simply turn the percentage into a fraction by dividing it by 100. Here 60% would become 0.6. Then you multiply the regular price of $70 by 0.6 to get 60 percent of 70 which is 42. That means that $42 is discounted from the original.

Answer:

A. -2/7

Step-by-step explanation:

slope = rise/run = 2/(-7) = -2/7

Answer:

1/18

Step-by-step explanation:

-1/2 + 5/9 =

-9/18 + 10/18 = 1/18

Answer:

1/18

Step-by-step explanation:

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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The composite functions when evaluated are (f + g)(x) = 3x² - 8x + 14, (f + g)(x) = x² - 8x - 4 and (fg)(x) = (2x² - 8x + 5)(x² + 9)

From the question, we have the following functions that can be used in our computation:

f(x) = 2x² - 8x + 5

g(x) = x² + 9

Using the above equations as a guide, we have the following:

(f + g)(x) = 2x² - 8x + 5 + x² + 9

(f + g)(x) = 3x² - 8x + 14

(f - g)(x) = 2x² - 8x + 5 - x² - 9

(f + g)(x) = x² - 8x - 4

(fg)(x) = (2x² - 8x + 5)(x² + 9)

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We can first consider the number of ways the two people who sit together can be chosen. There are 4 ways to choose the pair of people who sit together (i.e., person 1 and 2, person 2 and 3, person 3 and 4, or person 1 and 4).

Once we have chosen the pair of people who sit together, we can treat them as a single entity, reducing the problem to arranging three entities (two individuals and one pair) in a row. There are 3! = 6 ways to arrange these three entities.

Finally, the pair of people who sit together can be arranged in two ways (i.e., left to right or right to left) within their pair.

Therefore, the total number of different ways four people can sit in a row at the opera if two of them sit together is 4 x 6 x 2 = 48.

The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

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Answer:12

Step-by-step explanation:

12

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (4x + 2)/5 = 10

Then the value of x will be,

→ (4x + 2)/5 = 10

→ 4x + 2 = 10 × 5

→ 4x + 2 = 50

→ 4x = 50 - 2

→ 4x = 48

→ x = 48/4

→ [ x = 12 ]

Hence, the value of x is 12.

Answer:

Step-by-step explanation:

The even numbers less than 10 are

2  which can only be done 1 way: when you roll snake eyes.

4  can be done 3 ways (2,2) (3,1) and (1, 3)

6 can be done 5 ways (2,4) (4,2) (5,1) (1,5) and (3,3)

8 can be done 5 ways (4,4) (2,6)(6,2)(5,3) and (3, 5)

There are 36 ways of throwing the number cubes.

We have a total of 5 + 5 + 3 + 1 = 14 ways

The answer you want is

14/36 = 7 / 18 = 0.389

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer: Month

Step-by-step explanation: x represents the number of months, and because the equation is for number of clients per something, it would be month. I hope that helps!

Answer:

point f is in quadrant 3 . . .

The perimeter of a right triangle with hypotenuse 30cm and one of the legs 18cm is 72 cm.

The given sides of the right triangle are :

                 Hypotenuse (H) = 30cm

                  Perpendicular/leg (P) = 18cm

The formula of the perimeter of right triangle is = sum of its side.

For that we will first find out the value of base. For that we will use Pythagoras theorem which states that the square of the hypotenuse is equal to the sum of squares of the other two side. Numerically,  

                               H^2 = B^2 + P^2

Now putting the required values in the above formula we get

                              (30)^2 = B^2 + (18)^2

                               B^2 = 900 – 324

                                B^2 = 576

                                  B = √576

                                  B = 24cm

Thus the value of base is 24cm

Hence the perimeter of the triangle = H + B + P

                                                                 = 30 + 18 + 24cm

                                                                 = 72cm

Therefore the perimeter is 72cm

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Answer:

Hello your question is incomplete attached Below is the missing histogram

answer: 10 map squares

Step-by-step explanation:

There are 10 map squares that did survive more than 29 pant species because from the given diagram we can see that the plant species above 29  are spotted in 4 map squares ( i.e. from spot 30 to 39 ) and 6 map squares ( i.e. from 30 to 49 )

hence the total number of map squares = 4 + 6 = 10 map squares

The sum of the squared deviations from the sample mean is 384. The sum of the squared deviations from the sample mean can be calculated by multiplying the sample size minus one by the square of the standard deviation.

To find the sum of squared deviations from the sample mean, we first need to calculate the mean of the sample. Let's assume the mean of the sample is represented by x. The sum of squared deviations can be calculated using the formula:

Sum of squared deviations = \((n - 1) s^2\)

Where n represents the sample size and s represents the standard deviation. In this case, the sample size is 25 and the standard deviation is 4. Plugging these values into the formula, we get:

Sum of squared deviations =\((25 - 1) * 4^2\) = 24 * 16= 384

Therefore, the sum of the squared deviations from the sample mean is 384. This value represents the total variability of the sample observations around the mean, providing insight into the dispersion of the data points.

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If a man has a collection of stamps made up of 5 cent stamps and 8 cent stamps and there are three times as many 8 cent stamps as 5 cent stamps. The number of each stamp he have is: 5 cent stamp is 12, 8 cent stamp is 36.

Let x represent 5 cent =  0.05x + 0.08 = 3.48

Let y  represent 8 cent = 3x

Hence,

0.05x + 0.08(3x)= 3.48

0.05x + 0.24x = 3.58

Combine like terms

0.29x = 3.58

Divide both side by 0.29x

x = 3.58/0.29

x =12 (5 cent stamps)

Now let solve for y

y =3x

y =3(12)

y = 36 (8 cent stamps)

Therefore the number of each stamp he have is: 5 cent stamp is 12, 8 cent stamp is 36.

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Answer:

y - 7 = -4 (x + 2)

Step-by-step explanation:

y - 7 = -4 (x + 2)

Answer:

ABCD is 6 units 2×3=6

im not really sure about RST but i think it would be 4 or 5 units because it just looks like there is about that many inside.

We can see here that the area of quadrilateral ABCD = 12 units².

While the area for triangle RST = 5 units².

A quadrilateral is a polygon with four sides, four vertices, and four angles. The word "quadrilateral" is derived from the Latin words "quadri" (meaning "four") and "latus" (meaning "side"). Quadrilaterals are classified based on the lengths of their sides, the measures of their angles, and other specific properties.

Area of the parallelogram ABCD = B × H = 3 units × 4 units = 12 units².

Area of the triangle RST = 1/2bh = 1/2 × 5 units × 2 units = 1/2 × 10 units = 10/2 units = 5 units².

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The perimeter of the rectangle is 16 feet.

The perimeter of the rectangle is solved by finding the lengths of each segment.

Length AB

= √{[(-2) - (-5)]² + (1 - 1)²}

= 3 feet

Width BC

= √([-2 - (-2)]^2 + (6 - 1)^2)

= 5 feet

Since it is a rectangle, using the property of a rectangle which is the opposite sides have the same length.

The perimeter of the rectangle

= 2(AB + BC)

= 2(3 + 5)

= 16 feet

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Answer:

The value of x is 30.

We have to find the value of x in the given equation.  

Using distributive property  

We have,

\(1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3\)

other are also solve by this methode;)

The required solution of the expression \(1/2(x+6) = 18\) is 30.

To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.

The equation is the well-organized link of the variables of two expressions that contain equal between them.

distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c

\(1/2(x+6) = 18\)
Using distributive property a( b + c ) = a.b + a.c

\(1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\\)

Thus, The required solution of the expression \(1/2(x+6) = 18\) is 30.

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