The cuboid below is made of silver and has a mass of 416 g. Calculate its density, in g/cm³. If your answer is a decimal, give it to 1 d.p. Question attached ​

The expression that determines hοw οld Jose is, in terms of his dad's age, is  [tex]\frac{2}{3}d - 7[/tex]

Linear equatiοns are equatiοns whοse highest pοwer οf the variables is 1. The graph οf a linear equatiοn is a straight line.Let J be Jοse's age. Accοrding tο the prοblem, Jοse's age is 7 years less than 2/3 οf his dad's age.

We can express this mathematically as:

J = (2/3)d - 7

where d is Jοse's dad's age.

Therefοre, the expressiοn that determines hοw οld Jοse is, in terms οf his dad's age, is [tex]\frac{2}{3}d - 7[/tex]

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The answer to your question is:

The correct answer is b) "Please talk a little louder."

Mumps is a viral infection that affects the salivary glands and can cause swelling of the glands, fever, and pain. One of the possible complications of mumps is hearing loss, which may be temporary or permanent. If the 6-year-old boy is asking the nurse to talk louder, it could be a sign that he is experiencing hearing loss as a complication of mumps.

Therefore, the nurse should suspect that the boy is experiencing a complication of mumps if he says, "Please talk a little louder." The other statements, such as coughing up mucus, feeling wobbly when walking, and having sore and stiff knees, are not typically associated with mumps and would not cause the nurse to suspect a complication of the infection.

In conclusion, the statement that would cause the nurse to suspect the 6-year-old boy is experiencing a complication of mumps is "Please talk a little louder."

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The estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

Probability is the measure of how likely an event is to occur out of the number of possible outcomes. It is expressed in terms of a number between 0 and 1, where 0 means that the event is impossible and 1 means the event is certain. Probability is used to calculate the likelihood of an event or outcome in a variety of situations, from predicting the weather to playing the lottery.

The estimated probability of the spinner landing on blue can be calculated by using the ratio of the frequency of red to the frequency of green.

As the ratio is 4 : 7, the frequency of red is 4/11 of the total frequency of 100 spins. The frequency of green is 7/11 of the total frequency of 100. Therefore, the frequency of blue is 100-(4/11+7/11) which is 1 – (11/11) = 0.

Therefore, the estimated probability of the spinner landing on blue is 0. This means the spinner will not land on blue.

To calculate the estimated probability, first we need to calculate the total frequency of all the sections. This is done by adding all the frequencies of the sections together. In this case, the total frequency is 100. Then using the ratio of the frequency of red to the frequency of green, calculate the frequency of red and the frequency of green. Subtract the total frequency and the total frequency of red and green from the total frequency, to get the frequency of blue. Finally, divide the frequency of blue by the total frequency and convert it into a decimal. This will give us the estimated probability of the spinner landing on blue.

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Including the monthly premium the total money spent using plan 1 spend for insurance with 2 office visits in a month is $230.

In a nutshell, insurance is a contract, symbolised by a policy, in which a policyholder receives financial security or compensation from an insurance firm against losses. In order to make payments to the insured more manageable, the firm combines the risks of its clients.

Insurance policies are intended to protect against the possibility of monetary losses, large and little, that may be brought on by harm to the insured or their property or by liability for harm or injury given to a third party.

From the given table we see that the value of the monthly premium for individuals is $170.

Now, the value of office visit is: $30.

There are 2 office visits thus, 2(30) = 60.

The total money spent is:

170 + 60 = 230

Hence, including the monthly premium the total money spent using plan 1 spend for insurance with 2 office visits in a month is $230.

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Answer: no

Step-by-step explanation:

The probability of getting a score less than 4.3 for standard postage is 0.77

In this scenario, f(x) = (3/125) x^2 is a probability density function for the weight of a letter, x, for standard postage where x ∈ (0,5). Thus, the integral of the probability density function between two bounds would give the probability of the event occurring. The probability of getting a score less than 4.3 can be calculated as follows:Pr(X < 4.3) = ∫_0^4.3(3/125) x^2 dx= [(3/125) * (1/3) * 4.3^3] - [(3/125) * (1/3) * 0^3]= 0.77

Thus, the probability of getting a score less than 4.3 for standard postage is 0.77.

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By trignometric property, The 630 .18 feet tall is the gateway arch .

What is the definition of trigonometry?

Trigonometry is a discipline of mathematics that examines certain functions of angles and how to use them in computations. A common angle in trigonometry has six different functions. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc).

As given

The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, Missouri is 39 degrees.

Now by using the trignometric property

        tanθ = perpendicular/base

        As diagram is given below .

              θ = 39

             tan39° = AB/CB

        CB = 778 feet

         tan39° = 0.81 (approx)

       0.81 = AB/778

AB = 0.81 × 778

AB = 630 .18 feet

Therefore, the 630 .18 feet tall is the gateway arch .

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Answer:

1/12

Step-by-step explanation:

Lets look at all of the answers:

1/2

1/6

1/9

1/12

1/12 is closest to 0 because a higher denominator means a lower number that is closer to 0.

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The amount of pizza should be:

The maximum daily profit is $1,200

Let:

x be the number of small pizzas produced

y be the number of large pizzas produced

The problem can be formulated as follows:

Objective function:

To maximize the profit. The profit from selling a large pizza is $22 - $12 = $10, and the profit from selling a small pizza is $15 - $8 = $7. So the total profit can be expressed as:

Profit = 10x + 7y

Constraints:

x ≤ 40 (limited freezer space for small pizzas)

y ≤ 60 (limited freezer space for large pizzas)

x + y ≥ 70 (enough workers to prepare at least 70 pizzas)

8x + 12y ≤ 800 (cost constraint)

Solving the problem using linear programming:

Corner point (0, 70): Profit = 10(0) + 7(70) = $490

Corner point (20, 50): Profit = 10(20) + 7(50) = $1,200

Corner point (60, 10): Profit = 10(60) + 7(10) = $610

x = 20

y = 50

maximum daily profit = $1,200

Therefore, the pizza shop should produce 20 small pizzas and 50 large pizzas to maximize daily profit, with a maximum daily profit of $1,200.

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The measure of angle abc is 64 degrees.

An angle bisector is simply a line or ray that divides an angle into two equal parts.

Given that;

Line bm bisects angle abc.

First, we determine the measure of angle abm.

Since line bm bisects angle abc, it divides the angle into two equal parts.

Hence;

Angle mbc = angle abm

Angle abc = angle mbc + abm

Plug in the value

Angle abc = 32 degrees + 32 degrees

Angle abc = 64 degrees.

Therefore, 64 degrees is the measure of ∠b.

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Answer:

T=50+86.49N

Step-by-step explanation:

you just have to combine A and B.

Total (T)=A(50+30.65N)+B(55.85N) thank just open the prentices and add 30.65N and 55.85N=86.49N. so total is initial savings+ weekly savings by both.

Answer:

20√2

Step-by-step explanation:

20√2 = 28.284...

The exponential function that gives the amount of medication y  in the body after x hours is:

           [tex]y = 400(\frac{2}{3} )^x[/tex]

What is an exponential function?

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth. When the input variable x appears as an exponent in the formula f(x) = aˣ, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. A constant serves as the exponent in an exponential function, but not the other way around (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The complete question is given below.

The initial value of the medication = 400 mg

This is the value of a.

a = 400

b is the growth or decay factor in the exponential function formula.

In this question, it is the decay factor.

b = 1-r

where r is the decay rate = 1/3

b = 1-1/3 = 2/3

The exponential function is given by the formula:

y = abˣ

[tex]y = 400(\frac{2}{3} )^x[/tex]

Therefore the exponential function that gives the amount of medication y  in the body after x hours is:

           [tex]y = 400(\frac{2}{3} )^x[/tex]

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Answer: f(x)=90

Step-by-step explanation:

f(x)=-(-9)^2-(9)     substitute -9 for x

f(x)=9^2+9           simplify negatives

f(x)=81+9             simplify exponents

f(x)=90                 add

Answer:

$17,520

Step-by-step explanation:

The total can be found using multiplication.

48 x 365

Use long multiplication to solve this.

After solving, you should get $17,520.

Hence, in answering the stated question, we may say that As a result, cylinder Kendra has approximately 1.45 pounds more freeze pop than Luke.

The cylinder, which is frequently a three-dimensional solid, is one of the most basic curved geometric forms. In elementary geometry, it is called a prism with a circle as its basis. A cylinder is also defined as an infinitely curved surface in several modern domains of geometry and topology. A "cylinder" is a three-dimensional object with curved sides and round tops and bottoms. A cylinder is a three-dimensional solid figure with two identical circle bases linked by a curving surface at the cylinder's height, which is determined by the distance between the bases from the centre. Cold beverage cans and toilet paper wicks are both examples of cylinders.

1.5 cubic inches = 1/3 * 2.25 * 2

1.5 * 0.8 = 1.2 lbs.

* radius2 * height = * 12 * 4 = 4 cubic in.

Kendra's freeze pop has the following mass:

4 * 0.2 = 0.8 lbs.

The volume for Luke's freeze pop is:

*1.52 x 3 = 6.75 cubic inches

And the majority is:

6.75 * 0.05 = 0.3375 lbs

1.2 pound Benjamin

Kendra weighs 0.8 2.51 pounds.

Luke: 0.3375 1.06 lbs.

As a result, Kendra is consuming the most freeze pop, weighing around 2.51 pounds.

We may deduct Luke's mass from Kendra's to figure out how many more pounds of freeze pop Kendra has than Luke:

2.51 - 1.06 1.45 lbs.

As a result, Kendra has approximately 1.45 pounds more freeze pop than Luke.

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Answer:

Therefore, when the value of d is decreased by 2, the value of g changes by -3. In other words, g decreases by 3.

Step-by-step explanation:

We can start by solving the given equation for g:

4g = 8d + 20

g = (8d + 20) / 4

g = 2d + 5

So, we know that g is a function of d and is equal to 2d + 5.

Now, if we decrease the value of d by 2, we get:

d' = d - 2

Substituting this value of d' in the equation for g, we get:

g' = 2d' + 5

g' = 2(d - 2) + 5

g' = 2d - 4 + 5

g' = 2d + 1

Therefore, when the value of d is decreased by 2, the value of g changes by -3. In other words, g decreases by 3.

Answer:

on dividing both side of the second eqn by 6 you get

y+1/2x=2

so they are parallel to each other

[

keep in mind that:

any two equations are parallel if they have same coefficient for x and y but different constant values.

]

Answer:

slope(m1)= -coeff.of x/coeff.of y

:.m1= -1/2

slope(m2)= -coeff.of x/coeff.of y

:.m2= -1/2

so it is parallel to each other......

Check the picture below.

The common difference of the arithmetic sequence in which a1=3 and a4=15 is d = 4

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is  [tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is  [tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

Given that a1=3 and a4=15

nth term of G.P is ;

Calculation:

[tex]T_n = a + (n-1)d[/tex]

a1 = 3

a2 = 3+ d

a3 = 3+ d

a4=15

3 + 3d = 15

d =4

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Answer:

The > (Greater Than) symbol

Step-by-step explanation:

The absolute value symbol makes the value inside positive by calculating the inside's distance from 0. -6 is 6 units away from zero.

|-6| = 6, and 6 is greater than 2

The fewest number of cards you will have to look at the back of to know what color the back of each card is 2

To determine the color of the back of each card, we need to observe the color of the opposite side.

We can start by looking at the two-sided white card.

Since both sides of the card are white, no matter which side we look at, we can't determine the color of the back of the card.

So, we have to move on to the other cards.

Next, we can look at the two-sided black card. If we look at either side of this card, we know that the back of the card must also be black.

So, we have determined the color of the back of this card by looking at just one side.

The above means that, in the worst-case scenario, we will have to look at three cards, but we only need to look at two sides of each card

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Answer:

Step-by-step explanation:

To determine which statement must be true about the mean, median, and mode of the data, we need to analyze the bar graph provided.

We see that the data is not normally distributed, but rather skewed to the right. Therefore, the mean will be greater than the median, as the mean is affected by outliers and extreme values, which in this case will pull it towards the higher end.

Furthermore, since there is no single value that appears more frequently than any other, there is no mode for this data set.

Therefore, the statement that must be true is:

The mean number of food items donated is greater than the median number of food items donated. (Option K)

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If 1% of the phones were broken, then the number of good phones is 99% of 4,028:

99/100 x 4,028 = 3,987.72 (rounded to 3,988)

Out of the 3,988 good phones, 50% were sold to another city:

50/100 x 3,988 = 1,994

So, the remaining number of good phones that were sold locally is:

3,988 - 1,994 = 1,994

To find the percentage of phones sold locally, we need to divide the number of phones sold locally by the total number of phones:

1,994 / 4,028 = 0.494

Then, we can convert this decimal to a percentage and round to the nearest one percent:

0.494 x 100 ≈ 49%

Therefore, approximately 49% of the phones were sold locally.

Answer:

it could be either A or D

SLAP ME IF I AM WRONG!

Step-by-step explanation:

Answer:

B. -3/2

Step-by-step explanation:

Plot the Graph, then look for the rise over run. This equation has a rise of -6, and a run of 4. so [tex]\frac{-6}{4}[/tex], or -[tex]\frac{3}{2}[/tex]