write x^5 • x^7 as a single exponential expression

If U and V are orthogonal then the magnitude of U times V will be U.V = 0 or |UxV| = uv.

U and V are two orthogonal vectors.

since the angle between them is θ = 90⁰

let u and v be the magnitudes of the vectors U and V respectively.

so first dot-product: If two non-zero vectors are orthogonal than the dot product of these vectors will be zero. Dot product of two vectors is expressed by:

U.V = uv cosθ

since these vectors are orthogonal so,

U.V = uv cos90⁰ = 0

And Cross-product: Magnitude Cross product of two orthogonal vectors will be equal to product of magnitude of these vectors.

|UxV| = uv sin θ

|UxV| = uv sin 90⁰ = uv

Therefore, U.V = 0, |UxV| = uv.

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Answer:

14

Step-by-step explanation:

3x-8y

(3*10)-(8*2)

30-16

14

Answer:

30-16

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

first one is simnple cross multiply and divide

12*7=4x

84=4x

x=21

2nd same process but more steps

7x=5(x+8)

7x=5x+40

7x-5x=40

2x=40

x=20

Step-by-step explanation:

Answer:

y = − 2 /3 x − 7

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Hey buddy ....

I really appreciate God to give me this chance to help u.

Let's see what to do...

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First we need to find the slope of the line using this equation :

Suppose a = ( - 6 , - 3 ) , b = ( - 3 , - 5 )

\(slope = m = \frac{y(b) - y(a)}{x(b) - x(a)} \\ \)

Just need to put the coordinates in the equation:

\(slope = \frac{ - 5 - ( - 3)}{ - 3 - ( - 6)} \\ \)

\(slope = \frac{ - 5 + 3}{ - 3 + 6} \\ \)

\(slope = \frac{ - 2}{ - 3} \\ \)

\(slope = \frac{3}{2} \\ \)

====================================

We have this equation as the point-slope form of the linear functions :

\(y - y(one \: \: of \: \: the \: \: given \: \: points) = (slope) \times ( \: x - x(o \: o \: f \: t \: g \: p) \: ) \\ \)

Now just need to put the slope and one the given points ( a or b ) in the above equation:

I like to use a ( you can use b bro )

\(y - ( - 3) = \frac{3}{2} \times (x - ( - 6) \: ) \\ \)

\(y + 3 = \frac{3}{2} \times (x + 6) \\ \)

\(y + 3 = \frac{3}{2} x + 9 \\ \)

Subtract sides 3

\(y + 3 - 3 = \frac{3}{2} x + 9 - 3 \\ \)

\(y = \frac{3}{2} x + 6 \\ \)

And this is the equation of the line.

So we're done.....

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Take care dude ❤❤❤❤❤

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

The measure of angle m∠EDC = 25°, round to the nearest tenth.

For the given question

As the both diagonal of the rectangle are equal.

ΔAED is isosceles triangle.

Then,

m∠ADE = m∠DAE = 50°

As all 4 angles of the triangle are equal.

m∠EDC = 90 - m∠ADE

             = 90 - 65

m∠EDC = 25°

Thus, the measure of the angle m∠EDC = 25°, round to the nearest tenth.

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The diagram for the question is attached.

Answer:

3

Step-by-step explanation:

13 - 10 = 3

Answer:

Step-by-step explanation:

The slope of the line is -5, and the y-intercept is 250

Maria is exhibiting the compulsive symptoms of obsessive-compulsive disorder (OCD), characterized by repetitive behaviors or rituals performed to reduce anxiety or prevent a feared outcome.

Obsessive-compulsive disorder (OCD) is a mental health disorder characterized by intrusive, unwanted thoughts (obsessions) and repetitive behaviors or mental acts (compulsions). These obsessions and compulsions can cause significant distress and interfere with daily functioning.

In Maria's case, her repetitive checking behavior, specifically ensuring that her kitchen stove is turned off, is a compulsive symptom of OCD. She feels compelled to perform this interest repeatedly to alleviate her fear and anxiety of her house burning down. The belief that not checking the stove will lead to a catastrophic outcome is a common feature of OCD, where individuals assign excessive significance to certain thoughts or actions.

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Answer:

Okay, see, one or two questions I would help but doing your entire homework/test/quiz or whatever it is I don't think so. Why don't you at least try and then maybe i'll help.

Step-by-step explanation:

The approximate Z-score for this recruit is b. 0.18.

The mean of the head sizes (circumference) of new recruits in the armed forces can be approximated by a normal distribution with a mean 22.8 inches and standard deviation of 1.1 inches. The head size of a recruit was found to be 23 inches.

The approximate Z-score for this recruit. The formula for Z-score is given by:

\(Z=\frac{X-\mu}{\sigma}\)

where X is the head size of the recruit, μ is the mean head size of recruits, and σ is the standard deviation of head sizes of recruits. Substituting the given values in the above formula, we get,

Z=(23-22.8)(1.1)

Z=0.2/1.1

Z \(\approx\) 0.18

Thus, the approximate Z-score for this recruit is b. 0.18.

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The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be:

\(\rm P=9-0.25Q\)

The inverse demand function is the function that represents price as the function of quantity demanded. The graph of inverse demand puts a price on the y axis and the quantity demanded on the x-axis.

a. The inverse demand function of the firm will be calculated as follows:

The demand function is:

\(\rm Q=36-4P\)

The inverse demand function is the demand function in terms of price. Therefore inverse demand function will be:

\(\rm Q=36-4P\\\\4P=36+Q\\\\P=\dfrac{36}{4}+\dfrac{Q}{4}\\\\P=9+\dfrac{Q}{4}\\\)

\(\rm P=9-0.25Q\)

Hence, The inverse demand function views price as a function of quantity. The inverse demand function of the firm will be \(\rm P=9-0.25Q\).

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⇒Given the function f(x)=3x-7 ,when x=4 this means that in the function f in the place of x substitute 4 and simplify.

⇒\(f(4)=3(4)-7\\f(4)=12-7\\f(4)=5\)

⇒The value of the function f when x=4 is 5

Answer:

Add 9 to both sides

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

4n - 9 = 23

Step 2: Solve for n

Answer:

196

Step-by-step explanation:

70% multiply by 4/5(80%) which is 56%

56% times 350

Answer:

Step-by-step explanation:

Triangle MLK

Triangles are said to be congruent if their two angles and corresponding non-included sides are congruent with each other according to the AAS (Angle-Angle-Side) formula. thus proven.

Consider two triangles from figures ABC and DEF, where,

[Corresponding Angles] B = E The corresponding angles are C = F. And

AC = DF [Side by side]

Triangle's property of angle sum allows us to know this;

∠A + ∠B + ∠C = 180 ………(1)

∠D + ∠E + ∠F = 180 ……….(2)

Equations 1 and 2 allow us to state;

∠A + ∠B + ∠C = ∠D + ∠E + ∠F

∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D

thus in the triangle formed by ABC and DEF,

∠A = ∠D

AC = DF

∠C = ∠F

As a result, according to ASA,

Δ ABC ≅ Δ DEF

The proof of the AAS (Angle-Angle-Side) congruence rule follows.

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Triangles are said to be congruent if their two angles and corresponding non-included sides are congruent with each other according to the AAS (Angle-Angle-Side) formula. thus proven.

Consider two triangles from figures ABC and DEF, where,

[Corresponding Angles] B = E The corresponding angles are C = F. And

AC = DF [Side by side]

Triangle's property of angle sum allows us to know this;

∠A + ∠B + ∠C = 180 ………(1)

∠D + ∠E + ∠F = 180 ……….(2)

Equations 1 and 2 allow us to state;

∠A + ∠B + ∠C = ∠D + ∠E + ∠F

∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D

thus in the triangle formed by ABC and DEF,

∠A = ∠D

AC = DF

∠C = ∠F

As a result, according to ASA,

Δ ABC ≅ Δ DEF

The proof of the AAS (Angle-Angle-Side) congruence rule follows.

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Answer:453.59237

Step-by-step explanation: we know that each apple weighs 120 grams so we can add them up to get 453.59237 it would take about 3 apples to get 453.59237 so 453.59237 is our awnser

The sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2) is 9x³ − 4x² − 2x + 4, written in standard fοrm.

Tο find the sum οf twο οr mοre pοlynοmials, we need tο cοmbine the like terms. This is dοne by adding the cοefficients οf the like terms while keeping the variable and its expοnent the same.

Tο find the sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2), we can simply add the like terms:

(5x³ − 4x² + 6) + (4x³ − 2x − 2) = 9x³ − 4x² − 2x + 4

Therefοre, the sum οf (5x³ − 4x² + 6) and (4x³ − 2x − 2) is 9x³ − 4x² − 2x + 4, written in standard fοrm.

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answer: you're missing the problem

Answer:

x=12

Step-by-step explanation:

90-35=55

so 4x+7 needs to equal 55

4x+7=55

subtract 7 from both sides of the equation

4x+7-7=55-7

4x=48

divide 4 on both sides of the equation

4x/4x=48/4x

x=12

The p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis that the news is read equally for both age groups.

To test whether the proportion of individuals who read newspapers to find out the news is the same for both age groups, we can use a hypothesis test for two proportions. Let p1 be the true proportion of individuals who read newspapers in the age group 36-50, and let p2 be the true proportion of individuals who read newspapers in the age group over 50.

The null hypothesis is that the proportions are equal, i.e., H0: p1 = p2. The alternative hypothesis is that the proportions are not equal, i.e., Ha: p1 ≠ p2.

We can use a significance level of 5%, which means that we will reject the null hypothesis if the p-value is less than 0.05.

To conduct the test, we can calculate the sample proportions of individuals who read newspapers in each age group:

p-hat1 = 25/50 = 0.5

p-hat2 = 30/50 = 0.6

We can also calculate the pooled proportion, which is the weighted average of the two sample proportions:

p-hatp = (25 + 30) / (50 + 50) = 0.55

Using the sample proportions and the pooled proportion, we can calculate the test statistic:

z = (p-hat1 - p-hat2) / √(p-hatp × (1 - p-hatp) × (1/50 + 1/50))

= (0.5 - 0.6) / √(0.55 × 0.45 × (1/50 + 1/50))

= -1.52

The p-value for this test is the probability of getting a test statistic as extreme or more extreme than the observed value of -1.52, assuming the null hypothesis is true. Since this is a two-tailed test, we need to calculate the probability of getting a z-score less than -1.52 or greater than 1.52.

Using a standard normal table or a calculator with a normal distribution function, we can find the p-value:

p-value = P(Z ≤ -1.52) + P(Z ≥ 1.52) ≈ 0.129

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Answer:

3x=96

Step-by-step explanation:

From the information given, you can write the following:

a+x=96 (1)

a=2x (2)

where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.

You can replace 2 in 1 and you would have the following:

2x+x=96

3x=96

From this, you can isolate x to find its value:

x=96/3

x=32

According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Given:

Find: the leading term for p(t) and q(t)

Explanation:

leading degree in p(t) is 5 and leading term in p(t) is -8.

leading degree in q(t) is 4 and leading term in q(t) is 9.

Final answer: the required answer is

y - x = 5

y = x + 5

Hope this helps! :)

Answer:

Hi! The correct answer is y=5+x!

Step-by-step explanation:

~Add x to both sides of the equation~