Harry bought 3 shirts that cost the same amount each. He also bought a pair of pants for $25. He spent a total of $70 on all items. Which equation could be used to calculate the cost of each shirt.

Answer:

\( 3x^2|y|\sqrt[4]{y^2} \)

Step-by-step explanation:

\( \sqrt[4]{81x^8y^6} = \)

\( = \sqrt[4]{3^4(x^2)^4y^4y^2} \)

\( = 3x^2|y|\sqrt[4]{y^2} \)

problem decoded dude

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From the properties of the triangle, the value of x is 30°.

Triangles are geometric figures with three (3) sides. They can present different classifications regarding their sides or angles.

The sum of the interior angles of a triangle will always be 180°, independent of its classification.

They are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:

The attached image shows that angle y is supplementary to angle 60°. Thus, y+60=180°

       y=180-60

       y=120°

The figure also shows that the sides DC and AC are equal, then the angles xº and ∠D are equal. From the triangle ACD, you have:

x+x+y=180

2x+120=180

2x=180-120

2x=60

x=30°

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By using Pythagoras' theorem the required length of the cable  is 85 feets.

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' theorem. Perpendicular, Base, and Hypotenuse are the names given to the triangle's sides. The hypotenuse is the longest side in this case because it is opposite the angle of 90°.

The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides of a right-angled triangle. Alternatively, the sum of the squares of a right triangle's two legs equals the square of its hypotenuse.

Given:

Height of the tower = 68 feet = perpendicular

distance of box form tower = 51 feet = base

Let's assume lenght of the cable = L = hypotenous

Acoording to the question by using Pythagoras' theorem,

\(hyp^{2}= perpendicular^{2} +base^{2} \\(L)^2 = (68)^2 + (51)^2\\L^2 = 4624 + 2601\\L^2 = 7225\\L =\sqrt{7225}\\L = 85 feet\)

Hence by using Pythagoras' theorem the required length of the cable  is 85 feets.

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Answer:

n=5

Step-by-step explanation:

5*2.5=12.5

4*2.5=10

2*2.5=5

Answer:

Below

Step-by-step explanation:

Loss of 5.75%     means   ( 1 - .0575)   remains after each year

After 7 years, this much will remain:

3000 km^2  *  ( 1-.0575)^7 = 1981.9 km^2

Answer:

0.8

Step-by-step explanation:

because you just had to add

Answer: 0.4

Step-by-step explanation: picture below

The company should survey at least 601 customers to be 95% confident that the estimated proportion is within 4 percentage points of the true population proportion.

To determine the sample size needed, we can use the formula:

n = (z^2 * p * (1-p)) / E^2

where:

n is the sample size needed

z is the z-score for the desired confidence level (in this case, 1.96 for 95% confidence)

p is the estimated population proportion (we don't have an estimate, so we'll use 0.5, which gives the largest possible sample size)

E is the maximum margin of error (4 percentage points in this case, or 0.04)

Plugging in the values, we get:

n = (1.96^2 * 0.5 * 0.5) / 0.04^2

n = 600.25

We round up to the nearest whole number to get a sample size of 601.

This means that if the company surveys 601 randomly selected customers and finds that, for example, 60% of them keep up with regular vehicle maintenance, we can be 95% confident that the true proportion of all customers who keep up with regular vehicle maintenance is between 56% and 64%.

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Answer:

Divide and then multiply the smaller ratio to get an equal ratio to the first one

Step-by-step explanation:

It helps a lot with algebra

Answer:

 Dilate circle A by a scale factor of 3. 

Step-by-step explanation:

In order to show if two triangles are similar you have to translate and dialate one of the triangles to compare it to the other one. So A and D are not it. The formula for C is incorrect so therefore the answer is B. Also i took the test :D

Answer:

D) p³ + 2; when p = 3 the number of plants is 29.

Step-by-step explanation:

Illiana cubed (³) the number of original plants, p, in the garden. Then, she added 2 more plants. We will use n for the number of total plants.

So, the equation should be p³ + 2. Substitute our value for p into the equation and solve.

p³ + 2 = n

3³ + 2 = n

27 + 2 = n

29 = n

There are 29 total plants.

The answer, then, is the last option, p³ + 2; when p = 3 the number of plants is 29.

Good luck ^^

An interaction is a term used to describe the relationship between two or more factors or variables, where the effect of one factor depends on the level or value of the other factor. (option a).

Interaction can be defined as the relationship between two or more factors or variables, where the effect of one factor depends on the level or value of the other factor. In other words, the effect of one factor changes depending on the different levels or values of the other factor.

It is important to note that the term "interaction" is commonly used in statistical analysis, especially in the context of experimental design and data analysis. In statistics, interaction refers to the combined effect of two or more factors that cannot be explained by the individual effects of the factors.

For instance, in a two-way ANOVA (analysis of variance) analysis, interaction refers to the effect of one factor on the outcome variable, depending on the level of the other factor.

Hence the correct option is (a).

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Answer:

x=-8

Step-by-step explanation:

Multiply -4 by each number in the parenthesis ( distributive property )

Add x to -8x ( -7x )

Add 44 to 12 ( 56 )

Divide 56 and -7

 You should get x=-8

Answer:

2nd option

Step-by-step explanation:

plugging the values of x as 0,1,2,3,4,5 will help to find the exact equation

x= 0 , 199

x=1, 199* 1.25 =248.75 (approximately)

x=2, 199* (1.25)^2 = 310.9 (approximately)

x=3, 199* (1.25)^3 = 388.67 (approximately)

x=4, 199* (1.25)^4 = 485.83 (approximately)

x=5, 199* (1.25)^5 = 607.29 (approximately)

Answer:  f(x) ≈ 199(1.25)^x

Step-by-step explanation:

For 5(a), the most general expression for v is v = kry²/2 + C(x), and for 5(b), it is v = kx²(1-y) + D(y).

To find the most general expression for v in each case, we need to integrate the given velocity components with respect to the respective variables.

(a) Integrate with respect to y:

v = ∫kry dy = kry²/2 + C(x),

where C(x) is the constant of integration that depends on the variable x.

(b) Integrate with respect to x:

v = ∫2kx(1-y) dx = kx²(1-y) + D(y),

where D(y) is the constant of integration that depends on the variable y.

(a) The streamlines are given by the equation ay = voe^kx - 8.

(b) To determine if the motion is steady, we need to check if the velocity components depend on time. If there is no explicit time dependence in the given equations, then the motion is steady.

(c) To determine if it is a possible motion for an incompressible fluid, we need to check if the velocity field satisfies the continuity equation. If the divergence of the velocity field is zero (∇ · v = 0), then the motion is possible for an incompressible fluid.

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Answer:

Step-by-step explanation:

Number of guests who called for room service = 45

Total number of guests = 45 + 200 = 245

Percentage of guests who called for room service = (45/245) x 100% ≈ 18.4%

Therefore, approximately 18.4% of the hotel's guests called for room service.

The newspaper's assertion is unjustified. It can be shown that the interval does not contain 0.5 based on the 99% confidence interval of (0.322, 0.511). (which is half).

This indicates that the population parameter (mean, percentage, and standard deviation) is between a and b with x% confidence.

This indicates that at least half of students prefer using a computer to take their notes. Since the interval's lower limit (0.322) is higher than 0.5, there is a 99% likelihood that the actual percentage of students who prefer taking notes on computers is higher than 0.5.

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The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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Answer:

C. HOPE THIS HELPED HAVE A GEART Day GAWG

Step-by-step explanation:

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \:40 + x + 25 = 180\)

\(\qquad \sf  \dashrightarrow \:x + 65 = 180\)

\(\qquad \sf  \dashrightarrow \:x = 180 - 65\)

\(\qquad \sf  \dashrightarrow \:x = 115\)

I hope you understood the procedure, please let me know if you have any doubts

The probability that this batter will hit a home run on this pitcher's next pitch is approximately 0.074, or 7.4%.

To determine the probability that the batter will hit a home run on the pitcher's next pitch,

we need to consider the probabilities of the pitcher throwing a fastball and a curveball, as well as the probabilities of hitting a home run on each type of pitch.

Given that the pitcher throws fastballs 80% of the time and curveballs 20% of the time, we can calculate the probability of the batter facing each type of pitch:

- Probability of facing a fastball = 80% = 0.8
- Probability of facing a curveball = 20% = 0.2

Now, we need to determine the probability of hitting a home run on each type of pitch:

- Probability of hitting a home run on a fastball = 8% = 0.08
- Probability of hitting a home run on a curveball = 5% = 0.05

To find the overall probability of hitting a home run on the pitcher's next pitch, we can use the following formula:

Overall probability = (Probability of facing a fastball * Probability of hitting a home run on a fastball) + (Probability of facing a curveball * Probability of hitting a home run on a curveball)

Plugging in the values we have:

Overall probability = (0.8 * 0.08) + (0.2 * 0.05)
Overall probability = 0.064 + 0.01
Overall probability = 0.074

Therefore, the probability that this batter will hit a home run on this pitcher's next pitch is approximately 0.074, or 7.4%.

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Jimmy's age = (serena age + tyler age) - 1

To calculate the enthalpy change (ΔH) for the given reaction using the formation chart, you need to sum up the enthalpy of formation of the products and subtract the sum of the enthalpy of formation of the reactants.

The enthalpy of formation (ΔHf) values for the compounds involved in the reaction are as follows:

ΔHf(NH3(g)) = -46.1 kJ/mol

ΔHf(CO2(g)) = -393.5 kJ/mol

ΔHf(CO(NH2)2(s)) = -107 kJ/mol

ΔHf(H2O(l)) = -285.8 kJ/mol

Now, let's calculate the enthalpy change:

ΔH = [ΔHf(CO(NH2)2(s)) + ΔHf(H2O(l))] - [2 * ΔHf(NH3(g)) + ΔHf(CO2(g))]

ΔH = [-107 kJ/mol + (-285.8 kJ/mol)] - [2 * (-46.1 kJ/mol) + (-393.5 kJ/mol)]

ΔH = -392.8 kJ/mol - [-92.2 kJ/mol - 393.5 kJ/mol]

ΔH = -392.8 kJ/mol + 92.2 kJ/mol + 393.5 kJ/mol

ΔH = -152.9 kJ/mol

Therefore, the enthalpy change (ΔH) for the given reaction is -152.9 kJ/mol.

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The required time that took the car to stop is 0.25 seconds.

Given that,
A 1200 kg car is traveling at a constant velocity of 8 m/s. It hits a wall and comes to a complete stop. If the wall exerts a force of 38000 N on the car, how long would it take the car to come to rest is to be determined.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
u = 8
V = 0
force = 38000
m = 1200
Calculating accelartion, by newton's second law,
force = ma
38000 = 1200a
a = 31.6,
Applying the first equation of motion,
v = u + at
0 = 8 + -31.6t      [took negative because the acceleration is in opposite direction]
8/31.6 = t
t = 0.25

Thus, the required time that took the car to stop is 0.25 seconds.

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Answer:

d. No, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

It doesnt give u measures of some important angles. I also got it right

Answer:

D. no, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

edge2021

Answer:

21 x 21 = 441

Step-by-step explanation:

Whenever there is an exponent that is the many times you multiply the base by itself to.

Power is the result of multiplying two numbers together. The value of 21^2 is 441.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

Given that 21 has a power of 2, therefore, 21 to the power 2 means that 2 should be multiplied by itself twice.

21^2

= 21²

= 21 × 21

= 441

Hence, the value of 21^2 is 441.

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The identity is verified, yes. secx-secxsin^2x=cos x

What is an identity?

An identity in mathematics is an equality connecting two mathematical expressions, A and B, such that both expressions provide the same result for any value of the variables falling within a given range of validity.

An identity is an equation that, regardless of the values used, is always true. 2 x + 3 x = 5 x is an identity because, according to the preceding equation, 2 x + 3 x will always equal 1 regardless of the value;

According to given information;

secx = 1/cosx

cos²x+sin²x= 1

**sin²x = 1-cos²x

by (*) :

secx - secx sin²x=(1/cosx) -(1/cosx) sin²x

                       = (1/cosx) (1-  sin²x)....factory :(1/cosx)

by(**)

                     sec x-sec x sin²x  =  (1/cos x)cos²x

                     sec x-sec x sin²x  = cos x

( simplify by : cos x)

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Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.

We are asked to determine the graph of a line that has a slope -1 and passes through the point (3,3). To do that we need to have into account that since the slope is negative the line must be going downwards. Also, it must go through the point (3, 3), therefore, it must be similar to:

The only graph that has these properties is graph A.

Answer:

\(6(4x - 3) > 30 \\ divide \: both \: sides \: of \: the \: \\ inequality \: by \: 6 \\ = 4x - 3 > 5 \\ = 4x > 5 + 3 \\ = 4x > 8 \\ = x > \frac{8}{4} \\ = x > 2\)

hope it helps

The median price of the houses sold will be equal to $171000 and yes, the mean price is greater than the median price of the houses.

Mean in mathematics is a quantity that falls somewhere between the extremes of a set. There are different types of meanings, and how they are calculated relies on the connection that is known about or is believed to control the other members.

a.

The median of given prices will be,

Let's arrange the given prices in ascending order,

161000, $165000, $168000, $171000, $174000, $178000, $240000

Then, the middle term is the median,

So, median = $171000

b.

Number of terms = 7

The mean of the given prices will be,

(171000 + 165000 + 178000 + 161000 + 174000 + 168000 +240000)/7

= 1257000/7

Mean = 179571.4286

Comparing mean and median, the mean price is greater than the median.

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