Isabella and Tom leave from the same location at
9:45 AM. Isabella drives north at a constant speed of
65 kilometers per hour, and Tom drives south at a
constant speed of 77 kilometers per hour.
25
At what time will Isabella and Tom be 639 km apart?
A) 1:15 PM
B) 2:15 PM
C) 3:30 PM
D) 4:30 PM

Answer:

(5² - 8) x 2 doesn't belong

Step-by-step explanation:

this is because this answer is the only one with parintisies around the 5²

Definition of Relation:

Let A and B be sets. A relation R from A to B is a subset of Ax B

Definition of Function:

A function f from a set A (domain) to a set B (codomain) is a relation that satisfies the following properties:

1) Every element in A there is an element y in B such that (x,y) F

2) For all elements z in A there exist a unique element y in B.

The cartesian product of the sets A (a, b) and B (r,y) is

A x B {(a,z) (a,y).(b,),(b,s)}

Step 2

1. T ((a,x), (a,y))

Since T-((a,z), (a,y)) is a subset of (a, b) x (x,y).

so T is a relation from (a,b) to (x,y).

But for the element a in domain, there exist two different images x and y in co-domain.

This violates the definition of function.

Therefore, T_{1} = \{(a, x), (a, y)\} is a relation but not a function.

Step 3

2. T_{2} = \{(b, x), (b, y)\}

Since T_{2} - \{(b, x), (b, y)\} is a subset of \{a, b\}\{x, y\} .

so T_{1} is a relation from \{a, b\} to \{x, y\}

But for the element b in domain, there exist two different images x and y in co-domain

This violates the definition of function

Therefore, T_{2} = \{(b, x), (b, y)\} is a relation but not a function.

Step 4

,T 1 =\ (a,z)\

Since 7-((a,z)) is a subset of \{a, b\}\{x, y\}

so Ty is a relation from \{a, b\} * to (x,y\

But the element & in domain does not map with any element in co-domain

This violates the definition of function

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Answer:

20cm^3

Step-by-step explanation:

Divide 90 by 4.5.

90/4.5 = 20

We can multiply the density ratio by this quotient in order to find the volume of a sample 20x the size of the ratio's sample.

(4.5 x 20)/(1cm^3 x 20)
90g/20cm^3

In this step, let's identify the clues provided in the questions. We have:

Since we know the mass and density of titanium, we can apply the density formula to determine the volume of titanium.

Footnote: I have included the formula in case if you need to know it.

[tex]\boxed{\text{Density} = \frac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

To work out the volume of the titanium, we need to substitute the given clues from the question, into the formula. We have:

    [tex]\text{Density} = \dfrac{\text{Mass (Grams)}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

When we substitute the mass and the density of titanium, we have:

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

Finally, let's simplify the equation.

    [tex]4.5 \ \text{g/cm}^{3}} = \dfrac{\text{90 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]1 \ \text{g/cm}^{3}} = \dfrac{\text{20 grams}}{\text{Volume (cm}^{3} \text{)} }} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} }[/tex]

    [tex]\text{Volume (cm}^{3}) = \dfrac{\text{20 grams}}{\text{1 g/cm} ^{3} } = \dfrac{20 \ \text{grams} \ \times 1 \ \text{cm}^{3} }{1 \ \text{grams}} = \boxed{20 \ \text{cm}^{3}}[/tex]

Therefore, the volume of titanium is 20 cm³.

Answer:

D Reflect across the line y = -3

Step-by-step explanation:

The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.

The cost of 18 Apples at the same rate is $2.25

cost for 8 apples = $1.00

cost of 1 apple = 1.00/8

$0.125 for one apple

cost of 18 apples = 18*0.125 =$ 2.2 5

Here in the given sum we have used simple unitary method concept like in the 1st line we noted the cost of 8 apples that is given in  the question that is equall to $1.00. In the next step we found the cost of 1 apple simply by dividing 1.00/8 that amouted to $0.125. In the last stage we have calculated the  amount for 18 apples that amouted to $2.25 . We have simply multiplied 18 apples with the cost of 1 apple that is $0.125 which amouted to $2.25

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Answer:

[tex]x=4,\:x=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]x\left(2x-5\right)[/tex]

Apply the distributive law.

[tex]=x\cdot \:2x-x\cdot \:5[/tex]
[tex]=2x^2-5x[/tex]
[tex]2x^2-5x=12[/tex]
Subtract 12 from both sides.
[tex]2x^2-5x-12=12-12[/tex]
[tex]2x^2-5x-12=0[/tex]
Now, apply the quadratic formula.
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}[/tex]
Separate the solutions.
[tex]x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}[/tex]
Simplify.
[tex]x=4,\:x=-\frac{3}{2}[/tex]

Step-by-step explanation:

so, 80 L can get out of the tank every minute.

how long for 4800 L ?

that simply means "how many minutes for 4800 L ?"

and this we get by dividing 4800 by 80 (to see how often 80 fits into 4800) :

4800 / 80 = 60 minutes

so, it takes 60 minutes or 1 hour to discharge 4800 L.

The change of 74.375 bushels is seen with around 86 bushels remaining with farmer for further sale.

We are given the total number of bushels as 160. Now, the average sale on each day is [tex]14\frac{7}{8}[/tex] bushels.

Converting this mixed fraction into fraction -

Average bushels sold everyday = ((8×14)+7)÷8

Performing multiplication and addition to find average bushels sold each day

Average bushels sold everyday = 119÷8

So, at this rate the total number of bushels sold in five days will be = (119÷8)×5

Performing multiplication and division on Right Hand Side of the equation to find the number of bushels

Total number of bushels sold in five days will be = 74.375

So, after five days of sale, the available number of bushels are 160 - 74.375

Change in number of bushels = 85.62

Rounding off to find the exact number of bushels = 86

Hence, the change of 74.375 bushels is seen with around 86 bushels remaining with farmer for further sale.

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1. 1.371742E−3

2. 256 .

What is an Exponent?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 2³) means: 2 x 2 x 2 = 8.

It is written as a small number to the right and above the base number.

Here in the question we find out (9)∧-3 and (4)∧4

1.  (9)∧-3 =x∧n=9−1

x∧n=9-³

=1/9³

=1/9×9×9

=1/729

=0.0013717421124829

=1.371742E−3

2. (4)∧4 =x∧n=4∧4

=4×4×4×4

=256

The meaning of exponent is a symbol written above and to the right of a mathematical expression to indicate the operation of raising to a power.

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The two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)

Irrational numbers are numbers that cannot be expressed or written as a quotient of integers.

Example of irrational numbers are; √5 , √7, √3, etc

Irrational numbers that can add up to 2

(√5 - 2) + (4 - √5)

expand the bracket

√5-2 + 4-√5

collect like terms

√5 - √5 -2 + 4

-2 + 4

2

Hence, the two irrational numbers that sum up to 2 are (√5 - 2) and (4 - √5)

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Answer:

They can make 720 quarts in 36 hours.

Step-by-step explanation:

First we set up a ratio of 100 quarts:5 hours since that is a given ratio. Since hours was in the denominator of the ratio before, we place the 36 in the denominator of the other ratio, x quarts: 36 hours.

Setting them equal gives the following proportion:

100/5=x/36

Cross multiply to solve:

5x=3600

x=720

Answer:

720

Step-by-step explanation:

100 divided by 5 =20 and 20 times 36 is 720 hope this helped

Answer:

102

Step-by-step explanation:

<QRT and <VTU are alternate exterior angles, so they are congruent.

m<QRT = m<VTU

x + 40 = 2x -22

62 = x

m<QRT = x + 40 = 62 + 40 = 102

m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102

In linear equation, y ≥ x + 12/3 is simple version .

What in mathematics is a linear equation?

y ≥ 1/3 x + 4

y ≥ x/3 + 4

y ≥ x + 12/3

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Answer:

5:45

...................................

Answer:

the time is 5:45 PM according to that watch

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

G = (-1,4)

I drew it and work it out tho

The piecewise function that describes what the instructor charges is; f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

Let x represent the number of participants and let y represent the charge per participant.

Now, y depends on x, and as such we can say that;

f(x) = y

For, 0 < x ≤ 10, the total charges is 500x,

f(x) = 500x , 0 < x ≤ 10

For 10 < x < 25, total charge is 400x,

f(x) = 400x , 10 < x < 25

For x ≥ 25, the total charge is 350

f(x) = 350x x ≥ 25

Therefore, we can say that;

f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

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Write the piecewise function that describes what the instructor charges.

Step-by-step explanation:

seven-hundred thirty thousand eight-hundred twelve

Answer:9

Step-by-step explanation:

9

Answer:

x = -7

Step-by-step explanation:

2(x-4) = -22

2*x + 2*-4 = -22

2x - 8 = -22

2x = -22 + 8

2x = -14

x = -14/2

x = -7

Check:

2(-7-4) = -22

2*-11 = -22

Answer:the answer is 8n hope that helps!

The true population mean is (222.52, 227.48) with a 95% confidence interval.

The critical factor for a 90% confidence interval for the true population mean is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95

⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95

⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95

95% confidence interval for

⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))

Here, x = 225, s  = 8.5, and n = 45

⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))

⇒ μ = (222.52, 227.48)

Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.

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The question seems to be incomplete the correct question would be

Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.

Answer:

Starting from the left, the points plotted are:

-√9, -1.75, -3/2, -5/3, √4

Answer:

1375 miles

Step-by-step explanation:

0.20x+95=370

0.20x=275

x=1375

The integer solutions of each of the system of inequalities are 0, 1, 2, 3, .....65, 66, 67, 68. There are total 69 integer values that y can take.

In the question, we are given the inequalities:-

y ≥ 0 and 72 - y  ≥ 4

We have to find the integer solutions of each of the system of inequalities.

From 72 - y  ≥ 4, we can write,

72-4 ≥ y

68 ≥ y

Hence, from 68 ≥ y and y ≥ 0, we can write,

68 ≥ y ≥ 0

Hence, y can take 69 integer values from 0 to 68, both included.

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Answer:/

Step-by-step explanation:

Attribute data is data that logically can be only whole numbers and can be expressed as control charts.

Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.

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