Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day? Write and solve an inequality. put this is an inequality pls!!

Answer:

To fine the surface area is to add all the area of the faces

Answer:

6 hours

Step-by-step explanation:

75 x 6 = 450

Answer:

7

Step-by-step explanation:

57.75/8.25 = 7 shirts sold

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

\(\rm\longrightarrow 10^{x-10}-8=51.7 \)

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

\(\rm\longrightarrow 10^{x-10}= 51.7+8 \)

Simplify,

\(\rm\longrightarrow 10^{x-10}= 59.7 \)

Now take log to the base 10 on both sides ,

\(\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) \)

Recall that \(log\ m^n = n\ log m \) .So ;

\(\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) \)

Again recall that \( log_a a = 1\) .So ; here \(log_{10}10\) becomes 1 .

\(\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ \)

\(\rm\longrightarrow (x-10)= log_{10}(59.7)\)

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

\(\rm\longrightarrow x -10 = 1.7759 \)

Add 10 to both sides ;

\(\rm\longrightarrow x = 10+1.7759 \)

Simplify,

\(\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}\)

And we are done !

\(\rule{200}4\)

\(\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}\)

\(\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} \)

By corresponding angle we prove  a parallel line a ║ b .

What is an example of parallel lines?

Given,  c ║d

           ∠1 ≅ ∠7

   ∠1 = ∠3                 ( corresponding question)

   ∠5 = ∠7                  ( corresponding question)

then a ║ b

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The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.

The following formula can be used to compute the Z score:

Where,

Putting the values,

From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%

From the z score table, we get

Where X is the raw score, M is the sample mean, and S is the standard deviation.

Putting the figures together,

We get the following from the z score table:

According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%

Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.

Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.

A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.

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Jill should buy 2/3 yard more blue fabric than purple fabric.

To find out how much more blue fabric Jill should buy than purple fabric, we need to subtract the amount of purple fabric from the amount of blue fabric.

The blue fabric needed for the cape is 7 1/3 yards.

The purple fabric needed for the cape is 6 2/3 yards.

To subtract these two quantities, we need to convert the mixed numbers to improper fractions:

7 1/3 = 7 + 1/3 = 21/3 + 1/3 = 22/3

6 2/3 = 6 + 2/3 = 18/3 + 2/3 = 20/3

Now we can perform the subtraction:

Blue fabric - Purple fabric = (22/3) - (20/3)

To subtract fractions, the denominators must be the same. Since the denominators are already the same, we subtract the numerators:

(22/3) - (20/3) = (22 - 20)/3 = 2/3

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Answer:

I'm pretty sure its C

someone correct me if I'm wrong but I'm like 99% sure

Step-by-step explanation:

Answer:

Points (3, 3) and (5, 4)

4 - 3          1

____ = _____ = 1/2, A is your answer

5 - 3          2

Answer:

1/2

Step-by-step explanation:

Based on the graph, we can see that the two points plotted are (3,3) and (5,4) We also know that slope is calculated through this formula:

\(\frac{y1-y2}{x1-x2}\)

Therefore, let's substitute the x and y of the points plotted into that formula:

\(\frac{4-3}{5-3}\)

Simplify:

\(\frac{1}{2}\)

Therefore, the slope is 1/2

Answer:

1296

Step-by-step explanation:

6^4

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

The relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.

The matrix represents a relation where the rows and columns are labeled in the order of w, x, y, and z. By reading the matrix, we can identify the ordered pairs that make up the relation. In this case, the pairs are {(w, x), (x, x), (y, z)}.

To determine if the relation is reflexive, we check if every element in the set has a pair with itself. In this case, the pair (w, w) is missing, so the relation is not reflexive.

To check if the relation is symmetric, we examine if for every pair (a, b) in the set, the pair (b, a) is also present. Here, we see that the pair (x, y) is missing, while (y, x) is present, indicating that the relation is not symmetric.

Finally, to assess transitivity, we need to verify that if (a, b) and (b, c) are present in the set, then (a, c) should also be present. In this case, we don't have any such counterexamples, so the relation is transitive.

In summary, the relation R represented by the given matrix is not reflexive and not symmetric, but it is transitive.

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Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

In multiple regression, we have 4 assumptions listed and explained below. They are valid.

Following are assumptions for multiple regression model:

1. Linear connection: Each predictor variable and the responder variable have a linear relationship.

Making a scatter plot of each predictor variable and the response variable is the simplest technique to check if this premise is true.

2. Lack of Multicollinearity: There is no significant correlation between any of the predictor variables.

Calculating the VIF value for each predictor variable is the quickest approach to see if this premise is true.

3. Independence: Each observation has its own validity.

The Durbin-Watson test, a formal statistical test that informs us whether or not the residuals (and consequently the observations) exhibit autocorrelation, is the easiest approach to find out if this assumption is true.

4. Homoscedasticity: At every point in the linear model, the residuals' variance is constant.

The simplest technique to check if this premise is true is to plot the standardized residuals against the expected values.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The Cartesian coordinates for point (c) are: (x, y) = (4.5, -7.794) which can be plotted on the graph using polar coordinates.

A system of describing points in a plane using a distance and an angle is known as polar coordinates. The angle is measured from a defined reference direction, typically the positive x-axis, and the distance is measured from a fixed reference point, known as the origin. In mathematics, physics, and engineering, polar coordinates are useful for defining circular and symmetric patterns.

(a) Polar coordinates (8, 4/3)
To convert to Cartesian coordinates, use the formulas:
x = r*\(cos(θ)\)
y = r*\(sin(θ)\)
For point (a):
x = 8 * \(cos(4/3)\)
y = 8 * \(sin(4/3)\)

Therefore, the Cartesian coordinates for point (a) are:
(x, y) = (-4, 6.928)

(b) Polar coordinates (-4, 3/4)
For point (b):
x = -4 * \(cos(3/4)\)
y = -4 * \(sin(3/4)\)

Therefore, the Cartesian coordinates for point (b) are:
(x, y) = (-2.828, -2.828)

(c) Polar coordinates (-9, \(-\pi /3\))
For point (c):
x = -9 * \(cos(-\pi /3)\)
y = -9 * \(sin(-\pi /3)\)

Therefore, the Cartesian coordinates for point (c) are:
(x, y) = (4.5, -7.794)

Now you have the Cartesian coordinates for each point, and you can plot them on a Cartesian coordinate plane.

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The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:

x = 7 or x = -8

Step-by-step explanation:

3|2x + 1| = 45

Divide both sides by 3.

|2x + 1| = 15

Separate into a compound equation.

2x + 1 = 15 or 2x + 1 = -15

2x = 14 or 2x = -16

x = 7 or x = -8

Answer: A

Step-by-step explanation:

Yer welcome

Answer:

See below

Step-by-step explanation:

Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.

A) Plug in -5 to all x values

   f(-5)=10(-5)-3

          ==50-3

    f(-5)= -53

B) f(0)=10(0)-3

    f(0)= -3

C) f(7)=10(7)-3

         =70-3

    f(7)=67

D) f(t^2+2)=10(t^2+2)-3

                 =10t^2+20-3

     f(t^2+2)=10t^2+17

E) f(12-x)=10(12-x)-3

              =120-10x-3

    f(12-x)=117-10x

F) f(x+h)=10(x+h)-3

             =10x+10h-3

Answer: 6/23  mph

Step-by-step explanation: We change the 1/3 of an hour to 1 hour by multiplying 1/3 and 2/23 by 3. 1/3 times 3 is 1(hour) and 2/23 x 3 is 6/23(miles). So the unit rate the turtle is traveling at is 6/23 mph.

Using it's concept, it is found that there is a 0.0769 = 7.69% probability that the pepper is yellow and has an odd number.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 6 + 5 + 2 = 13 peppers, of which one is yellow with an odd number, hence the probability is given by:

p = 1/13 = 0.0769.

0.0769 = 7.69% probability that the pepper is yellow and has an odd number.

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Answer:

total:13

yellow: 2

odd: 7

1/13

Step-by-step explanation:

Answer:

C. For every 1 second, a fighter jet travels 19 miles.

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

To calculate the volume of soil needed, we first convert the dimensions of the backyard to feet:

Length = 70 ft

Width = 60 ft

Depth = 4 in = 4/12 ft = 1/3 ft

Volume = Length x Width x Depth

Volume = 70 ft x 60 ft x (1/3) ft

Volume = 1400 ft³

Option 1: Bags of topsoil

Each bag of topsoil contains 3 ft³ of soil, so the number of bags needed is:

Number of bags = Volume / Bag size

Number of bags = 1400 ft³ / 3 ft³ per bag

Number of bags = 467 bags

The total cost of bags of topsoil is:

Cost = Number of bags x Cost per bag

Cost = 467 bags x $2.50 per bag

Cost = $1167.50

Option 2: Bulk topsoil

The volume of topsoil needed is 1400 ft³, which is equivalent to:

Volume = 1400 ft³ / 27 ft³ per yd³

Volume = 51.85 yd³ (rounded to two decimal places)

The cost of bulk topsoil is:

Cost = Volume x Cost per yd³ + Delivery fee

Cost = 51.85 yd³ x $22.00 per yd³ + $20.00 delivery fee

Cost = $1153.70

Therefore, buying bulk topsoil is less expensive than buying bags of topsoil. The cost of bulk topsoil is $1153.70, while the cost of bags of topsoil is $1167.50

Answer:

Bulk is less expensive

Step-by-step explanation:

First convert inches to feet:  4 in x 1 ft/12 in =0.333 ft

Volume of topsoil needed = 70 x 60 x 0.333 = 1400 ft³

Bagged topsoil:   1400 ft³ x $2.50/3 ft³ = $1166.67

Bulk: 1400 ft³ x 1 yd³/27 ft³ x $22.00/yd³ + $20 = $1160.74

Bulk is just a little cheaper

There are 169 outcomes in the complement of the given event.

To find the number of outcomes in the complement of the given event, which is that out of 344 high school students in their senior year, 175 are left-handed, you need to follow a few steps. So, let's get started. To find the number of outcomes in the complement of the given event, you will first find the total number of students that are right-handed, which can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169Therefore, there are 169 right-handed students.

Next, to find the number of outcomes in the complement of the given event, you will need to subtract the number of outcomes in the given event from the total number of possible outcomes. Since the number of possible outcomes is equal to the total number of students, the number of outcomes in the complement of the given event can be found by subtracting the number of left-handed students from the total number of students:344 - 175 = 169 Therefore, there are 169 outcomes in the complement of the given event.

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Answer:

  (D)  7/10

Step-by-step explanation:

You want the rate of change of y with respect to x for the relation ...

  (2/5)x -(4/7)y = 3/2

Solving for y, we have ...

  2/5x -3/2 = 4/7y . . . . . . . . . . add 4/7y -3/2

  (7/4)(2/5)x -(7/4)(3/2) = y . . . . multiply by 7/4

  7/10x -21/8 = y . . . . . . . . . . simplify

The rate of change is the coefficient of x: 7/10.

Given:

defective units = 29.1

total production = 9,700

Hence:

substituting values in the formula:

ANSWER

0.3 percent of the production is defective.