3^x-5=5

Solve for x to the nearest hundredths

Answer:

axis of symmetry x=3

vertex (3, 52)

Step-by-step explanation:

y = -5x² + 30x + 7

x = -b/2a = -30/2(-5) = -30/-10 = 3

y = -5(3)² + 30(3) + 7

y = -45 + 90 + 7

y = 52

The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.

The flour and sugar coral that will be use to make the cookies will be:

= 1 3/4 + 1/2

= 2 1/4

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Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Answer:

g'(1,-5)

Step-by-step explanation:

Rule

(x,y) → (y -x)

(-5,-1) → (-1,5)

Helping in the name of Jesus.

Answer:

For new coordinates of each point, we can use the following formula:

(x, y) \(\longrightarrow\) (y, -x)

To rotate a point 90 degrees clockwise about the origin, we swap the x and y coordinates and negate the x coordinate.

Therefore, the rotated points are:

G(-5,-1) \(\longrightarrow\) G'(-1, 5)

H(-3,-2) \(\longrightarrow\) H'(-2, 3)

J(-3,-5) \(\longrightarrow\) J'(-5, 3)

K(-5,-4) \(\longrightarrow\) K'(-4, 5)

Therefore, The vertex of G is (-1,5)

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

3.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is a rectangular prism?

A right rectangular prism is a box-shaped object, that is, a 3-dimensional solid which has six rectangular faces. Rectangular prisms can also be oblique - leaning to one side - but the side faces are parallelograms, not rectangles. A right rectangular prism is also called a cuboid, box, or rectangular hexahedron. Moreover, "rectangular prism" and "right rectangular prism" are often used interchangeably.

The most common math problems related to this solid are of the type right rectangular prism calc find V or find A, where the letters stand for the Volume and Area, respectively. Let's see the necessary rectangular prism formula and learn how to solve those problems quickly and easily.

How do I find the volume of a rectangular prism?

The rectangular prism volume formula is:

volume = h × w × l,

where h is prism height, w is its width, and l is its length. To calculate the volume of a cardboard box:

Find the box length. For example, it can be equal to 18 in.

Determine its width. Let's say you measured 12 in.

Find out the rectangular prism height. Assume it's 15 in.

Calculate the cuboid volume. Using the rectangular prism volume formula above, we get volume = (18 × 12 × 15) in = 3240 in³.

How do I find the area of a rectangular prism?

The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces:

surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),

where h is prism height, w is its width, and l is its length.

Let's see an example of how to solve the right rectangular prism calc - find A problem. We'll come back to our example with the box and calculate its surface area:

Calculate the rectangular prism surface area. First rectangle area is 15in × 12in = 180in², second 15in × 18in = 270in² and third one 18in × 12in = 216in². Add all three rectangles' areas - it's equal to 666 in² (what a number!) - and finally multiply by 2. The surface area of our cardboard box is 1332in².

Or save yourself some time and use our rectangular prism calculator.

Finally, let's attack the right rectangular prism calc find d (that is, the diagonal) type of problem.

How do I calculate the diagonal of a rectangular prism?

To determine the diagonal of a rectangular prism, apply the formula:

diagonal = √(l² + h² + w²)

where h is prism height, w is its width, and l is its length.

Do you have the feeling that you saw the formula before? Yes, that's possible because this equation resembles the famous one from the Pythagorean theorem.

Answer:

Step-by-step explanation:

Given:

The equation of a line:

Use the coordinates of the point and find the value of b:

The line is:

Answer:

y = ½x - 3

Step-by-step explanation:

x = 2

y = - 2

a = ½

y = ax + b

- 2 = ½(2) + b

- 2 = 1 + b

b = - 2 - 1

b = - 3

y = ax + b

y = ½x + (-3)

y = ½x - 3

Answer:

25×2.50=62.5

62.5+12=74.5

hope that helps

Answer:

$74.50

Step-by-step explanation:

M = 2.50(f) + 12

M = 2.50(25) + 12

M = 74.5

The equation relating P to N is written as: P = $1800 + $120N. and the total pay of Mary if she sells 29 copies of maths is fun is equal to $5280.

As we let P represent the total pay of Mary in dollars and N represent the number of copies of maths is fun that she sells them we can write an equation relating P to N as:

P = $1800 + $120N

given that her base salary is $1800.

If she sells 29 copies of maths is fun, then her total pay ie calculated as follows:

P = $1800 + $120(29)

P = $1800 + $3480

P = $5280.

Therefore, the equation relating P to N is written as: P = $1800 + $120N. and the total pay of Mary if she sells 29 copies of maths is fun is equal to $5280.

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Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

Answer:

The correct answer would be 6000.

Step-by-step explanation:

To round decimal numbers to the nearest thousand, consider the last four digits that should be modified to the nearest thousandth number.

Answer:

852

Step-by-step explanation:

Answer:

852

Step-by-step explanation:

7.668 divided by 0.009 start off by making your division equation the way you want to write it and then go one by one on the numbers and start dividing it then you will get the answer: 852

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

you would transfer 15 to the other side

Step-by-step explanation:

-19=15-6x

-34=6x

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Step-by-step explanation:

Solution is attached in pen paper form

The man's daily wage is given as follows:

$42.

The wages are obtained applying the proportions in the context of the problem.

The woman receives $24 for 8 hours of work, hence her hourly wage is given as follows:

24/8 = $3 per hour.

(Hourly wage = Total wages/total hours).

Their wages per hour are in the ratio 7:5, hence the man's hourly wage is obtained multiplying the woman's hourly wage by 7/5, hence:

7/5 x 3 = 21/5 = $4.2 per hour.

The man works 10 hours a day, hence the daily wage is given as follows, multiplying the hourly wage by 10:

10 x 4.2 = $42.

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Answer:

  6.46

Step-by-step explanation:

To find the tax, multiply the amount by the tax rate

tax = 80.69 * 8%

     = 80.69*.08

      =6.4552

Rounding to the nearest cent

     6.46

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

\(r=\sqrt[3]{\frac{9V}{\pi}}\)

Step-by-step explanation:

\(r=3h \implies h=r/3 \\ \\ V=\frac{1}{3}\pi r^2(r/3) \\ \\ =\frac{\pi}{9} r^3 \\ \\ \frac{9V}{\pi}=r^3 \\ \\ r=\sqrt[3]{\frac{9V}{\pi}}\)

Answer:

7

Step-by-step explanation:

You divided both 28 and 4 and you will get 7 as your answer.

5, 12, 13

1) Let's sketch this out:

Note that we admit "rise" as the vertical leg, and "run" as the horizontal leg.

2) So we can apply the Pythagorean Theorem. Note that the hypotenuse will be placed on the left:

So we can plug into that the given data:

Note that we expand those binomials accordingly to the rule.

Now let's calculate the value of "r":

3) Note that the negative value of r, -3 does not interest us since there are no negative lengths. That's why we are going to consider the positive one: r=5

So the sides are:

r= 5

r+8= 13

r+7 = 12

Answer:

10

Step-by-step explanation:

Mathematical Formula: \(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

Therefore: \(\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}\)

Which = 10

Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)

Since time must be positive, t = 21.