How is Solving for speed similar to solving for time? They both require that two numbers be added. They both require that two numbers be subtracted. They both involve writing a rate OThey both Use the same units of measure
PLEASE HELP ME!!!!!!​

Answer:

z = 29

Step-by-step explanation:

z - 4 = 25

You were going the right way;you need to add that value to each side:

z - 4 ( +4 ) = 25 ( +4 )

z = 29

Answer:

x = -3

Step-by-step explanation:

2x + 9 = 3

2x = 3 - 9

2x = -6

x = -3

Answer:

- 3

Step-by-step explanation:

given

2x + 9 = 3

2x = 3 - 9

2x = - 6

x = - 6/2

x = - 3

hope it helps :)

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

1) 8

2) 2

3) 1

4) 4

5) skiing, snowboarding,ice skating, sledding

Step-by-step explanation:

Answer:

1.) 8

2.) 2 more people

3.) 1 less for skiing

4.) 4

5.) Skiing, Snowboarding, Ice skating, Sledding,

The simplified form of (sqrt(12) + 6)(-sqrt(8) - sqrt(2)) is -36 * sqrt(2).To distribute and simplify the expression (sqrt(12) + 6)(-sqrt(8) - sqrt(2)), we'll apply the distributive property to each term in the first set of parentheses.

First, let's simplify the square roots:

sqrt(12) = sqrt(4 * 3) = sqrt(4) * sqrt(3) = 2 * sqrt(3)

sqrt(8) = sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)

Now, we can distribute the terms:

(sqrt(12) + 6)(-sqrt(8) - sqrt(2))

= -sqrt(12) * sqrt(8) - sqrt(12) * sqrt(2) + 6 * (-sqrt(8)) + 6 * (-sqrt(2))

Substituting the simplified square roots:

= -(2 * sqrt(3)) * (2 * sqrt(2)) - (2 * sqrt(3)) * sqrt(2) + 6 * (-2 * sqrt(2)) + 6 * (-sqrt(2))

Now, we can simplify further by multiplying the terms:

= -4 * sqrt(3) * sqrt(2) - 2 * sqrt(3) * sqrt(2) - 12 * sqrt(2) - 6 * sqrt(2)

Combining like terms:

= -6 * sqrt(2) * sqrt(3) - 12 * sqrt(2) - 6 * sqrt(2)

= -18 * sqrt(2) - 12 * sqrt(2) - 6 * sqrt(2)

= -36 * sqrt(2).

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Answer:

5/4 > 5/6

Step-by-step explanation:

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = \(σ^{2} =\frac{Sigma(xi-m)^{2}}{n}\)

Now here we need to verify ∑x and ∑\(x^{2}\).

∑x = 21+19+15+32+27

     = 114

and ∑\(x^{2}\) = \(21^{2} +19^{2} +15^{2} +32^{2} +27^{2}\)

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=\(\sqrt{Variance}\)

                                     = \(\sqrt{45.2}\)

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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Step-by-step explanation:

Bigger -smaller

hope it is helpful to you

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

Answer:

\(x=60^{\circ}\)

Step-by-step explanation:

The are 180 degrees in a triangle and 180 degrees on a line. Therefore, call the third angle of the triangle \(y\).

The following equation solves for \(y\):

\(y+119=180,\\y=61^{\circ}\)

Solving for \(x\):

\(x+59+61=180,\\x=\boxed{60^{\circ}}\)

Answer:

28.125 cans

Step-by-step explanation:

Step 1: Determine the Volume of the Pot

Diameter= 15 inches, therefore Radius=15/2=7.5 Inches

Height =10 Inch

Volume of a cylinder =\(\pi r^2h\)

Volume of the Pot \(=\pi*7.5^2*10=562.5\pi\) cubic inches.

Step 2: Determine the Volume of each can

Diameter= 4 inch, therefore Radius=4/2=2 Inches

Height =5 In.

Volume of a cylinder =\(\pi r^2h\)

Volume of one can \(=\pi*2^2*5=20\pi\) cubic inches.

Step 3: Divide the Volume of the Pot by the Volume of the can

To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.

Volume of the Pot÷Volume of one can

\(=562.5\pi \div 20\pi\\=28.125 \:cans\)

Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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The limit value for each function is:

a) To calculate limt→[infinity]p(t), we can start by dividing the numerator and denominator of the equation by t, to get:

p(t) = t/t-1

Next, we can take the limit of this expression as t approaches infinity:

limt→[infinity]p(t) = limt→[infinity]t/t-1

Since t is the only variable in the expression, as t approaches infinity, the expression will approach infinity as well. Therefore, limt→[infinity]p(t) = ∞

b) To calculate limt→1+p(t), we can start by rewriting the equation as p(t) = 1/(t-1). Next, we can take the limit of this expression as t approaches 1:

limt→1+p(t) = limt→1 1/(t-1)

Now, we can use the limit laws to simplify the expression:

limt→1+p(t) = 1/limt→1(t-1)

Since the denominator is approaching 0 as t approaches 1, the expression approaches infinity. Therefore, limt→1+p(t) = 1.

c) To calculate limt→2p(t), we can start by dividing the numerator and denominator of the equation by t2, to get:

p(t) = 1/t-1

Next, we can take the limit of this expression as t approaches 2:

limt→2p(t) = limt→2 1/t-1

Now, we can use the limit laws to simplify the expression:

limt→2p(t) = 1/limt→2(t-1)

Since the denominator is approaching 0 as t approaches 2, the expression approaches infinity. Therefore, limt→2p(t) = 0.

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Answer:

91

Step-by-step explanation:

This is the answer, I took a pic of the work

Answer:

91

Step-by-step explanation:

2

13x

7

-------

9 1

7 X 3 = 21

7×1 =7

7+2 =8

8+1 = 9

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

320

Step-by-step explanation:

4,800 ÷ 15 = 320

Checking this

15 × 320 = 4,800

Answer:

Children=21 Adult=35

Step-by-step explanation:

[using c for children tickets and a for adult tickets]

56=c+a and 203=3c+4a [starting system of equations]

a=56-c ---> 203=3c+4(56-c) [plugging the first eq. into the second]

203=3c+224-4c [simplify]

-21=-c [simplify 2.0]

c=21 [simplify 3.0]

56=21+a [plugging back into org. eq.]

so a=35

Answer:

-1

Step-by-step explanation:

g(1) = -2*1^2 - 4*1 + 5

Answer:

Step-by-step explanation:

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Hence, x=-2 and y=4 are the answers to the system of equations.

For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:

5x - 9(-2x) = -46

Simplify and find x's value:

5x + 18x = -46

23x = -46

x = -2

We can use the second equation to get y now that we know the value of x:

y = -2x = -2(-2) = 4

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Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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Answer:

Step-by-step explanation:

5 is a factor of 15 and 35

15:35 = 3:7

Answer:

15

Step-by-step explanation:

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

    1.) You cannot divide by 0.

     2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.