Please answer this correctly

Answer:

4,300

Step-by-step explanation:

Lateral area of a squared Pyramid is given as ½ × Perimeter of base (P) × slant height of pyramid

Thus, we are given,

Side base length (s) = 43 yd

height (h) = 25 yd

Let's find the perimeter

Permimeter = 4(s) = 4(43) = 172 yd

Calculate the slant height using Pythagorean theorem.

Thus, l² = s²+h²

l² = 43²+25² = 1,849+625

l² = 2,474

l = √2,474

l ≈ 50 yd

=>Lateral area = ½ × 172 × 50

= 172 × 25

= 4,300 yd

Answer:

[tex]V(t) = 425(0.952)^{t}[/tex]

Step-by-step explanation:

The amount of water in the bucket after t hours, in mL, can be modeled by an equation in the following format:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial amount, and r is the constant decay rate, as a decimal.

Bucket contains 425 mL of water.

This means that [tex]V(0) = 425[/tex]

The capacity of water in the bucket decreases 4.8% each hour.

This means that [tex]r = 0.048[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 425(1-0.048)^{t}[/tex]

[tex]V(t) = 425(0.952)^{t}[/tex]

Answer:

y = 86100 / w.

21 miles per gallon.

Step-by-step explanation:

If y is the consumption then:

y  = k / w   where k is some constant so we have:

28.7 = k / 3000

k = 3000 *28.7 = 86100

So the required equation is y = 86100 / w.

For a car weighing  4100 pounds:

y =  86100 / 4100 = 21 miles per gallon.

The required inverse relation is, yw = 86100.

The car will get 21 miles per gallon if it weighs 4,100 pounds.

A direct relation between two quantities implies that the increase in one increases the other and vice-versa.

If quantity a and b are directly related, then we write the relation as a ∝ b, which can be written as a = kb, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.

An inverse relation between two quantities implies that the increase in one decreases the other and vice-versa.

If quantity a and b are inversely related, then we write the relation as a ∝ 1/b, which can be written as a = k/b, or, ab = k, where k is the constant of proportionality used to replace the proportionality symbol with the equal to sign.

In the question, we are given that the fuel consumption in miles per gallon (y) for a car inversely varies with its weight (w).

Thus we can write the relation like this:

y ∝ 1/w

or, y = k/w

or, yw = k.

The value of k can be determined using the given value of y = 28.7 miles per gallon and w = 3000 pounds.

Therefore, 28.7*3000 = k

or, k = 86100.

Thus, the required inverse relation is, yw = 86100.

Now, we are asked how many miles per gallon will a car get if it weighs 4100 pounds.

Therefore, w = 4100, y = ?

We know, yw = 86100.

or, y = 86100/w = 86100/4100 = 21.

Therefore, the car will get 21 miles per gallon, if it weighs 4,100 pounds.

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Answer:

c) 0.1

P(5) = 0.1

Step-by-step explanation:

Given data

x  :              0      1      2       3       4      5

p(x):          0.2    0.1  0.3   0.1     0.2    ?

Given data is discrete distribution

if the numbers [tex]P(x_{i} )[/tex]  i = 1,2,3.....  satisfies the two conditions

i) [tex]P(x_{i} )\geq 0[/tex]   for all values of 'i'

ii) ∑P(x) = 1

Given data

i) [tex]P(x_{i} )\geq 0[/tex]   for all values of 'i'

ii)            ∑P(x) = 1

        P(x=1) + P(x=2) +P(x=3) +P(x=4)+P(x=5) =1

⇒      0.2 + 0.1 + 0.3 +0.1 +0.2 + p(X=5) = 1

⇒     0.9 +p(5) =1

⇒             p(5) = 1 -0.9

⇒              P(5) = 0.1

Answer:

the position of a particle moving at a coordinate say(y) will satisfy the given conditions t=0 (say) if y=2sint-cost

Step-by-step explanation:

Clearly by the above we can see that if y=2sint-cost at t=0, then y=-1 because at t=0 sint vanishes and leaves us with only cost and at t=0 cos0=1

Answer:

7b+21

Step-by-step explanation:

7(b+3)

Distribute

7*b + 7*3

7b+21

Answer:

d. solid cone

Step-by-step explanation:

Solid revolution is the general method used for revolving a given figure about a reference plane to produce a required solid. This process involves the generation of a 3 dimensional shape from a 2 dimensional figure.

A triangle is a three sided figure which generates a solid or hollow cone when it revolves about a given line. If the given triangle is made to revolve about the line, the resulting object would be a solid cone.

Answer:

the answer would be a solid cone

Step-by-step explanation:

i took the test and got it right.

BRAINLIEST PLS PLS PLS PLS I RLY NEED IT

Answer:

1. [tex]\frac{x^2}{y^3}[/tex]

2. [tex]\frac{625x^{12}}{y^8}[/tex]

3. [tex]\frac{6}{x^2y^9}[/tex]

Step-by-step explanation:

Remember, when you exponent an exponent, you multiply the powers.

When you multiply exponents, you add them.

When you divide exponents, you subtract them.

1.

Step 1: Multiply exponents

[tex]x^2y^{-3}[/tex]

Step 2: Move [tex]y^{-3}[/tex] to the denominator

[tex]\frac{x^2}{y^3}[/tex]

2.

Step 1: Multiply exponents

[tex]\frac{5^4(x^{3})^{4}}{(y^2)^4}[/tex]

Step 2: Power

[tex]\frac{625x^{12}}{y^8}[/tex]

3.

Step 1: Simplify

[tex]\frac{6x^3y^{-3}}{x^5y^6}[/tex]

Step 2: Remove terms

[tex]\frac{6y^{-3}}{x^2y^6}[/tex]

Step 3: Move [tex]y^{-3}[/tex] to the denominator

[tex]\frac{6}{x^2y^6y^3}[/tex]

Step 4: Combine like terms

[tex]\frac{6}{x^2y^9}[/tex]

Answer:

Step-by-step explanation:

monomial, polynomial, binomial, trinomial and multinomial are the different types of algebraic expressions.

plz mark as brainliest!!!!!!!

Answer:

0 (zero)

Step-by-step explanation:

A horizontal line has zero slope.

Answer:

10

Step-by-step explanation:

Since 75 sandwiches have salad this means that 75 - 30 = 45 of them have tuna with salad. Therefore, the amount of sandwiches that have cheese without salad is 100 - (30 + 15 + 45) = 100 - 90 = 10.

Answer:

The ranges of g(x) and f(x) are the same and their domains are also the same.

Step-by-step explanation:

The function g(x) is the function f(x) multiplied by 35 and later translated twice, first 6 units up and later 8 units down. Since, both expressions are linear functions, both are continuous and both have the same domains and range due to constant slope.

Hence, the ranges of g(x) and f(x) are the same and their domains are also the same.

Answer:

131.88 cm²

Step-by-step explanation:

At = 2×Acircle + Arectangle

= 2×π·r² + w×h

w = 2π·r = 2·3.14·3 = 18.84 cm

At = 2·3.14·9cm² + 18.84cm·4cm

= 56.52cm² + 75.36cm²

= 131.88 cm²

Answer:

7 unique values can be created.

[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]

Step-by-step explanation:

We need to find unique values that can be created by forming the fraction

[tex]\dfrac{x}{y}[/tex]

where, [tex]x[/tex] is either 4, 8, or 12 and [tex]y[/tex] is either 4, 8, or 12.

Now, possible ordered pairs are (4,4), (4,8), (4,12), (8,4), (8,8), (8,12), (12,4), (12,8), (12,12).

For these ordered pairs the value of [tex]\dfrac{x}{y}[/tex] are:

[tex]\dfrac{4}{4},\dfrac{4}{8},\dfrac{4}{12},\dfrac{8}{4},\dfrac{8}{8},\dfrac{8}{12},\dfrac{12}{4},\dfrac{12}{8},\dfrac{12}{12}[/tex]

[tex]1,\dfrac{1}{2},\dfrac{1}{3},2,1,\dfrac{2}{3},3,\dfrac{3}{2},1[/tex]

Here, 1 is repeated three times. So, unique values are

[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]

Therefore, 7 unique values can be created.

Answer:

6  13/16

Step-by-step explanation:

7+(10-4^2)÷4×1/2^3

PEMDAS says parentheses first

7+(10-16)÷4×1/2^3

7+(-6)÷4×1/2^3

Then exponents

7+(-6)÷4×1/8

Then multiply and divide from left to right

7+(-6)÷4×1/8

7+-3/2 *1/8

7 + -3/16

Add and subtract

6 13/16

160,000 / 677 = 293.88 months

Hope this helps.

Answer:

  a reflection across the line containing ZK

Step-by-step explanation:

If you draw the figure, you see it is symmetrical about line ZK. Hence reflection across that line (ZK) will map one triangle to the other.

Answer:

reflection across the line containing ZK

Step-by-step explanation:

How To Solve This Problem

1. Understand what has to be true for each transformation.

2. Determine what characteristics the triangle fits.

3. The answer is is D. Reflections

4. As you can see the triangles are congruent by ASA (angle-side-angle).

5. If reflected across line ZK the pre-image is the same as the image. Therefore this is true.

Answer:

5 < 10x - 3

Step-by-step explanation:

The answer is 5 < 10x - 3 because you are adding 2x to both sides of the inequality.

Answer:

The answer is 260 * 2 = 520

Step-by-step explanation:

520/2 = 260

Multiply both sides by 2

We have

260 × 2 = 560

Hope this helps

Answer: 8n-5

Step-by-step explanation:

Answer:

20 miles per hour

Step-by-step explanation:

The distances traveled by each car are perpendicular, so we can find the distance between the cars using the Pythagoras' theorem between their distances traveled:

[tex]d^2 = d_1^2 + d_2^2[/tex]

Where d is the distance between the cars, d1 is the distance traveled by the first car and d2 is the distance traveled by the second car.

The distance traveled is calculated by the speed times the time traveled, so we have:

[tex]d^2 = (16t)^2 + (12t)^2[/tex]

[tex]d^2 = 256t^2 + 144t^2[/tex]

[tex]d^2 = 400t^2[/tex]

[tex]d = 20t[/tex]

The rate that the distance is increasing can be found with the derivative of the distance in relation to the time:

[tex]dd/dt = 20\ mph[/tex]

So the rate that the distance increases is always 20 miles per hour, and it's independent of the time.

Answer:

a = 2 , b = 1

Step-by-step explanation:

[tex]\frac{8-i}{3-2i}*\frac{3+2i}{3+2i}[/tex]

=> [tex]\frac{(8-i)(3+2i)}{9+4}[/tex]

=> [tex]\frac{24+13i-2i^2}{13}[/tex]

=> [tex]\frac{26+13i}{13}[/tex]

Comparing it with a+bi

a = 26/13 , b = 13/13

a = 2, b = 1

Answer:

a = 2

b = 1

Step-by-step explanation:

[tex]\frac{8-i}{3-2i}[/tex]

Write the fraction in this form:

[tex]\frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}[/tex]

[tex]\frac{\left(8(3)+-1(-2)\right)+\left(-1(3)-8(-2)\right)i}{3^2+-2^2}[/tex]

Evaluate.

[tex]\frac{26+13i}{13}[/tex]

Factor the numerator.

[tex]\frac{13\left(2+i\right)}{13}[/tex]

[tex]2+1i[/tex]

Answer:

3/8 project per hour

Step-by-step explanation:

Take the part of the project done and divide by the time

3/10 project ÷ 4/5 hours

Copy dot flip

3/10 * 5/4

Rewriting

3/4 * 5/10

3/4 * 1/2

3/8 project per hour

Answer:

3/8

Step-by-step explanation:

3/10 div 4/5

Divide 3/10=0.3 by 4/5=0.8 by multiplying 3/10=0.3 by the reciprocal of  4/5=0.8.

3/10x(5/4)

Multiply 3/10 =0.3 times 5/4 =1.25 by multiplying numerator times numerator and denominator times denominator.

3x5/10x4

Do the multiplications in the fraction 3×5/10x4

15/40 = 0.375

Reduce the fraction  15/40 = 3/8 =0.375 to lowest terms by extracting and canceling out 5.

3/8

Given Information:

John's mean monthly commission = μ = $10,000

Standard deviation of monthly commission = σ =  $2,000

Answer:

[tex]P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%[/tex]

The probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the probability that John's commission from the jewelry store is  between $9,000 and $11,000?

[tex]P(9,000 < X < 11,000) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(9,000 < X < 11,000) = P( \frac{9,000 - 10,000}{2,000} < Z < \frac{11,000 - 10,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( \frac{-1,000}{2,000} < Z < \frac{1,000}{2,000} )\\\\P(9,000 < X < 11,000) = P( -0.5 < Z < 0.5 )\\\\P(9,000 < X < 11,000) = P( Z < 0.5 ) - P( Z < -0.5 ) \\\\[/tex]

The z-score corresponding to 0.50 is 0.6915

The z-score corresponding to -0.50 is 0.3085

[tex]P(9,000 < X < 11,000) = 0.6915 - 0.3085 \\\\P(9,000 < X < 11,000) = 0.383\\\\P(9,000 < X < 11,000) = 38.3 \%[/tex]

Therefore, the probability that John's commission from the jewelry store is  between $9,000 and $11,000 is 38.3%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.4, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Answer:8

Step-by-step explanation:

I’m guessing it’s like 6*x^8?

Answer:

All quadrilaterals are four sided shape.

Step-by-step explanation:

Four sided shape can be:

- Square

- Trapaziod

Four sided shape can be called a quadrilateral.

Answer:

c) $450,000

Step-by-step explanation:

The calculation of the cost of the walk-in program is shown below:-

Cost of the walk-in program = 1 ÷ 4 × Salaries + 1 ÷ 2 × (Rent + Depreciation) + 1 ÷ 5 × (Utilities)

= 1 ÷ 4 × $1,000,000 + 1 ÷ 2 × ($300,000 + $80000) + 1 ÷ 5 × $50,000

= $250,000 + $190,000 + $10,000

= $450,000

Therefore for computing the cost of the walk-in program we simply applied the above formula.

Answer:

[tex]1.25[/tex]

Step-by-step explanation:

[tex]let \: a = x \: and \: b = y[/tex]

[tex]36x = \frac{45}{y} [/tex]

[tex]36xy = 45[/tex]

[tex]xy = \frac{45}{36} [/tex]

[tex]xy = 1.25[/tex]

[tex]therefore \: ab \: is \: 1.25[/tex]

Answer:

a)

Null hypothesis : H₀:μ = $43,500

Alternative Hypothesis : H₁ : μ ≠ $43,500

b)

The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance

Null hypothesis is accepted

c)

The calculated value t = 2.2975 < 1.7709

The residents of Wilmington, Delaware, have more income than the national average

Step-by-step explanation:

Step(i):-

Given mean of the Population = $43,500,

Given mean of the sample  = $50,500

Given standard deviation of the sample  = $11,400.

level of significance = 0.01

Step(ii):-

a)

Null hypothesis : H₀:μ = $43,500

Alternative Hypothesis : H₁ : μ ≠ $43,500

b)

Test statistic

[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

[tex]t = \frac{50,500 -43,500}{\frac{11400}{\sqrt{14} } }= 2.2975[/tex]

Degrees of freedom

                           ν =n-1 = 14-1 =13

The critical value

[tex]Z_{\frac{0.01}{2} } = Z_{0.05} = 1.7709[/tex]

c)

The calculated value t = 2.2975 < 1.7709 at 0.01 level of significance

Null hypothesis is accepted

Conclusion:-

The residents of Wilmington, Delaware, have more income than the national average

Answer:

The Prime Factorization of 80 is,  2 × 4 × 10, 2 × 2 × 2 × 2 × 5  and  2 × 4 × 10

Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and  2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.

24 × 5=120, Therefore it's the only incorrect question.

The term  2 x 2 x 2 x 2 x 5 shows the prime factorization of 80.

Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, it is known as the prime factorization of the number when prime numbers are multiplied to get the original number.

Given the number 80

factors of 80 are 2 x 2 x 2 x 2 x 5

and given factors,

2 x 4 x 10,

2 x 2 x 2 x 2 x 5,

2 x 5 x 8,

24 x 5

all are the factors of 80 except 24 x 5,

but the correct representation of the prime factorization of 80 is

2 x 2 x 2 x 2 x 5

Hence option B is correct.

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