Solve for u.
u – 23 = 5
U =

In a case whereby Natalie saves money in her piggy bank. Maria saves money in a savings account at a bank the statement about the savings plans that is true is B.Maria's way of saving money allows her to earn interest and make her money grow.

An efficient approach to keep your money safe and earning interest is in a savings account. You can keep your savings in a liquid state with a savings account, which allows you to access your money anytime you need to, while also creating some breathing room between your savings and your daily spending requirements.

Because of their safety, liquidity, and potential for collecting interest, savings accounts are a suitable way to put money set aside for future use. These accounts are perfect for saving for short-term objectives like a trip or home repair or for your emergency fund.

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Var(X) (write it up to second decimal place) Var(X) is 1.98 (rounded to two decimal places).

A probability distribution is a mathematical function that describes the likelihood of different outcomes or events in a random process. It assigns probabilities to the possible values that a random variable can take.

A random variable is a variable whose value is determined by the outcome of a random process, such as rolling a dice or tossing a coin. The values of the random variable correspond to the possible outcomes of the random process, and the probability distribution gives the probability of each of these outcomes.

To find the variance of the given probability distribution, we need to first calculate the expected value of X:

μ = E(X) = ∑[xi * f(xi)] for all values xi in the distribution

μ = (10.1) + (20.4) + (30.15) + (40.25) + (5*0.1) = 2.65

Next, we can use the formula for variance:

Var(X) = E[(X - μ)^2] = ∑[ (xi - μ)^2 * f(xi) ] for all values xi in the distribution

Plugging in the values, we get:

Var(X) = (1-2.65)^20.1 + (2-2.65)^20.4 + (3-2.65)^20.15 + (4-2.65)^20.25 + (5-2.65)^2*0.1

Var(X) = 1.9825

Therefore, Var(X) is 1.98 (rounded to two decimal places).

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Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

The given two triangles are congruent by HL hypotenuse and leg.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given are two right-angle triangles.

We know if the hypotenuse and one leg of a right angle triangle are similar to the corresponding hypotenuse and one leg of the other right angle triangle they are congruent by the RHS congruency theorem.

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Answer:

The Sidewalk is 16 yards^3

Step-by-step explanation:

To find the this answer its quite simple!

Anytime there's an area problem you would have to multiply to numbers to get the area

in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!

High Hopes^^

Barry-

Answer:

I think it would be 2 miles

Step-by-step explanation:

This is because 1/4 of an hour is 15 minutes

so in 15 minutes he swims half a mile

4 x 15 = 60 minutes

so 4 x 1/2 = 2miles

Joseph's car holds 16 gallons of gas and has driven 68 miles, resulting in a remaining tank level of 12 gallons. Joseph's car runs on 17 miles per gallon, and it would cost $8.08 to refill his tank on Friday.

To determine the car's miles per gallon (MPG), we divide the total miles driven by the number of gallons used. Additionally, we can calculate the cost of refilling Joseph's tank by multiplying the price per gallon by the number of gallons needed to reach a full tank.

To find the car's miles per gallon (MPG), we divide the total miles driven (68) by the number of gallons used (16 - 12 = 4). Therefore, the car runs on 68/4 = 17 miles per gallon.

Next, we calculate the cost to refill Joseph's tank on Friday. Since the tank holds 16 gallons and currently has 12 gallons, we need to fill it with 16 - 12 = 4 gallons. Given that gasoline costs $2.02 per gallon, the total cost to refill the tank is 4 * $2.02 = $8.08.

Therefore, Joseph's car runs on 17 miles per gallon, and it would cost $8.08 to refill his tank on Friday.

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The engineer should take a sample size of approximately 40 to be 95% confident of being in error by only 0.125 minutes.

To calculate the sample size for estimating the cycle time, the engineer can use the formula for continuous data:

E = (zα/2) * (σ / √n)

where:
E is the maximum allowable error (0.125 minutes),
zα/2 is the z-value for a 95% confidence level (which corresponds to a 0.025 alpha level),
σ is the standard deviation (0.4 minutes), and
n is the sample size (unknown).

Rearranging the formula, we have:

n = (zα/2)^2 * (σ^2 / E^2)

Plugging in the given values, we get:

n = (1.96)^2 * (0.4^2 / 0.125^2)

Simplifying the equation, we have:

n ≈ 3.8416 * (0.16 / 0.015625)

n ≈ 3.8416 * 10.24

n ≈ 39.494

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Answer:

a positive slope because it has only one negative and rest positive

Step-by-step explanation:

please mark brainlist

Answer:

A. Positive Slope

B. (2,5)

C. Slope: 3

Hope this helps! :) Plz Give brainliest if you can!

The width is 8 cm and the length is 10 cm. Given that the length of a rectangle is 2 cm greater than the width and the area is 80 cm². We are to find the length and width.

The area of a rectangle is given as: A = l × w and the length is 2 cm greater than the width. l = w + 2 cm.

We are given that the area is 80 cm².

A = l × w₈₀

= (w + 2) × w₈₀

= w² + 2w.

Rearrange the terms to form a quadratic equation

w² + 2w - 80 = 0

We need to solve this quadratic equation using the formula as shown below: x = (-b ± sqrt(b² - 4ac))/(2a), Where a = 1, b = 2 and c = -80.

Substituting these values in the formula above:

x = (-2 ± √(2² - 4(1)(-80)))/2(1)x

= (-2 ± √(4 + 320))/2x

= (-2 ± √(324))/2.

We can simplify this expression by taking the square root of 324 which gives us:

x = (-2 ± 18)/2x₁

= (-2 + 18)/2

= 8 cm (Width)x₂

= (-2 - 18)/2

= -10 cm (Not possible as width cannot be negative).

Therefore, the length is:

l = w + 2 = 8 + 2

= 10 cm.

Therefore, the width is 8 cm and the length is 10 cm.

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Answer:

g + 12

Step-by-step explanation:

5g+20 - 4g -8 =

= g + 12

Answer:

Expand & simplify

5

(

G

+

4

)

_

4

(

G

+

2

)

The wire that connects the top of the tower to the point of the ground is thus the hypotenuse and its length is 84 foot.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Given that the height of the tower is 168 foot, and the angle is 30 degrees.

The wire that connects the top of the tower to the point of the ground is thus the hypotenuse.

To find the hypotenuse, we use the trigonometric ratios as follows:

Sin 30 = 168 / Hypotenuse

0.5 = 168 / Hypotenuse

Hypotenuse = (168)(0.5)

Hypotenuse = 84.

Hence, the wire that connects the top of the tower to the point of the ground is thus the hypotenuse and its length is 84 foot.

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The decimal value of the sum of the two 5-bit two's complement numbers 10010 and 10101 is -5.

In two's complement representation, the leftmost bit represents the sign, with 0 indicating a positive number and 1 indicating a negative number. To perform the addition, we start by adding the least significant bits (LSBs) together, which gives us 0+1 = 1. Since both numbers are positive, the sum is also positive. Moving on to the next bit, we have 1+0 = 1. Continuing this process, we add 0+1 = 1, 0+0 = 0, and 1+0 = 1 for the remaining bits. However, when performing two's complement addition, we ignore any carry that occurs beyond the most significant bit (MSB).

The MSB in the sum is 1, indicating a negative number. To find the decimal value, we convert the remaining bits (01101) from two's complement to decimal. In two's complement, the leftmost bit is weighted as -16, the next bit as 8, then 4, 2, and 1 for the subsequent bits. Multiplying the bits by their respective weights and summing them up, we have -8 + 4 + 1 = -3. Therefore, the decimal value of the sum of 10010 and 10101 is -5.

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Answer:

I think x is equal to 6. Correct me if I'm wrong!

Answer:

6 meters is missing length

Step-by-step explanation:

The surface area of a prism is:

A = area of base

L = Lateral area

A + L = Surface area

Area of Base = 8x * 2(2 bases) = 16x

Lateral Area = (2x+16)6 = 12x+96

12x+96+16x = 264

28x + 96 = 264

28x = 168

x = 6

Answer:

yes 15cm is 3cm more than 12cm

Step-by-step explanation:

The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.

To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.

In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.

However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.

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4/3 of a number is more than 3/4 of its number by 1 . find the number .

According to question 4/3 of a number is equal to :

\( \longmapsto \: \frac{4}{3} \times x\)

Which means ,

\(\longmapsto \: \frac{4x}{3} \)

According to question 3/4 of a number is equal to :

\(\longmapsto \: \frac{3}{4} \times x\)

Which means ,

\(\longmapsto \: \frac{3x}{4} \)

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

\(\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1\)

Now , transposing 3x/4 to left hand side :

\(\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1\)

Now , taking L.C.M :

\(\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1\)

Now by calculating :

\(\longmapsto \: \frac{16x - 9x}{12} = 1\)

Now Subtracting 16x with 9x and transposing 12 to right hand side :

\(\longmapsto \: 7x = 12\)

So ,

\(\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}\)

Answer:

Step-by-step explanation:

7x-8y=-12

4x(-4x+2y)=3x4

7x-8y

        =-9

-4x+2y

7x-8y=-12

-16x+8y=12

-9x=0

x=0

0-8y=-12

y=12/8=3/2=1.5

Answer:

a) y²=x

b)(y-2)²=x

c)(3y)²=x

d)(y-2b)²=x

e)square root A =x

f)(P-2)²=x

g) square root (3H-6)=x

h) square root(5T-2)=x

Step-by-step explanation:

where I have written square root use the square root symbol.

Answer:

56 chickens or 112 legs

Answer:

2

Step-by-step explanation:

Because 2 goes into 24, 36 and 50.

Rate 2 tells us that for every 1 unit of x, we have 2 units of y.

What is double number line?

A double number line is a diagram that shows a proportional relationship between two quantities by representing them as two parallel lines marked with tick marks at regular intervals. The tick marks on one line represent the values of the first quantity, while the tick marks on the other line represent the values of the second quantity.

To write rates for the ratios shown by the double number line, we need to identify two corresponding values on each line and express the ratio between them.

For example, consider the following double number line:

     0         1         2         3         4  

 |-------|-------|-------|-------|-------|

 0      10      20      30      40      50  

 |-------|-------|-------|-------|-------|

          x                y

We can write two rates for the ratio between x and y as:

Rate 1: x units per y units

Rate 2: y units per x units

For example, if x is 15 and y is 30, we can write:

Rate 1: 15/30 = 1/2

Rate 2: 30/15 = 2/1

These rates tell us how much of one quantity is associated with a given amount of the other quantity. For instance, Rate 1 tells us that for every 2 units of y, we have 1 unit of x. Similarly, Rate 2 tells us that for every 1 unit of x, we have 2 units of y.

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Answer:

j < -1

Step-by-step explanation:

Question:

"Solve for j.

3 - 4j > 7"

Subtract 3 from both sides.

-4j > 4

Divide both sides by -4. Remember that when you multiply or divide an inequality by a negative sign, the inequality sign changes direction.

-4j/-4 < 4/-4

j < -1

Answer:

j<-1

Step-by-step explanation:

there's no i so im assuming you mean solve for j

3-4j>7

subtract 3 from both sides

-4j>4

divide by -4

j<-1

(sign switches when dividing by a negative)

we know that

Two angles are complementary, if their sum is equal to 90 degrees

Example

If A and B are complementary

A+B=90 degrees

If A=30 degrees

then

The value of B is

B=90-30=60 degrees

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

22

Step-by-step explanation:

Given

(\(\sqrt{5}\) + \(\sqrt{17}\) i )(\(\sqrt{5}\) - \(\sqrt{17}\) i ) ← expand factors using FOIL

= (\(\sqrt{5}\) )² - (\(\sqrt{17}\) )² i² ← i² = - 1

= 5 - 17(- 1)

= 5 + 17

= 22  

Step-by-step explanation:

a) The estimate for the total number of deer in the park is given as follows: 630 deers.

b) The assumption that he made was that the proportion was followed.

The total number of deer in the park is estimated applying the proportions in the context of this problem.

The next week, the gamekeeper caught 70 deer. 10 of the deer had a tag around one of their hooves, hence the fraction of marked deers is given as follows:

10/70 = 1/7.

He had marked 90 deers, hence the estimate for the total number of deers, considering a constant proportion, is given as follows:

1/7 x n = 90

n = 90 x 7

n = 630 deers.

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-4 is not included, that is why the open interval and the symbol of ) are used