Mr. Baker is decorating Hot Cross buns. He has completed 480 out of a batch of 600. What % has he
decorated?

Answer:−

-2 < x ≤ 1

Step-by-step explanation:

Answer:

His/Her gross pay is $417.48

Step-by-step explanation:

Gross pay, i assume without taxes is $8.52 per hour multiplied by 49 hours, 8.52*49 = 417.48.

Answer:  $417.48

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

H = $4 charm, $40 bracelet

Y = $10 charm, $10 bracelet

H -

$4 x 5 charms = $20

plus bracelet

$20 + $40 = $60

Y -

$10 x 5 charms = $50

plus bracelet

$50 + $10 = $50

Answer:
Lines are
Cost = 10x + 10

Cost = 4x + 40

Solution is (5, 60) when both costs are the same

Step-by-step explanation:

Let x be the number of charms on the bracelet

We will represent the cost of the bracelet with charms for purchasing from Yardley as $Y
Since it costs a fixed amount of $10 for the bracelet and $10 per charm
Y = 10x + 10

Let us represent the cost of the bracelet with charms for purchasing from Hardin as $H
Since it costs a fixed amount of $40 for the bracelet and $4per charm
H= 4x + 40

Therefore the two equations for this situation are

Y = 10x + 10     [1]

H = 4x + 40     [2]

To graph this , take two values for x in each equation, find the corresponding cost  . That will give you two points;. Draw a line through these two points for each equation

For Y = 10x + 10  
Choose x = 0 to get Y = 10. Y= 10(0) + 10 = 10
Thus point(0, 10) is one point

Choose another value for x, say x = 3: Y = 10(3) + 10 = 30 + 10 = 40
The other point is (3, 40)

Draw a straight line through these two points

For H = 4x + 40:

x = 0 ==> 4(0) + 40 ==> (0, 40) as one point
x = 10 ==> 4(10) + 40= 80 ==>  (4, 80) is another point

Draw a straight line thru these two points

The point of intersection of these two lines from the graph is (5, 60)

This represents the number of charms from both places where the cost is the same

We can solve this mathematically as follows
Set [1] = [2]

10x + 10 = 4x + 40
10x - 4x = 40 - 10

6x = 30

x = 5

Substituting x = 5 in any of the equations will give the cost
Y(5) = 10(5) + 10 = 60

H(5) = 4(5) + 40 = 60

Answer:

2 and  8

Step-by-step explanation:

multiply the denominator to equal the other fraction and do the same for the denominator

Answer:

Step-by-step explanation:

hope this helps...

have a nice day

Answer:

x < 3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

treat the sign as if it was an equal sign

then you would solve for x

2x < 6

x < 3

however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples

Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:

4.615 in

Step-by-step explanation:

Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.

In triangle ABC, using Pythagoras theorem:

AC² = AB² + BC²

AC² = 12² + 5²

AC² = 144 + 25 = 169

AC² = 169

AC = √169 = 13 in

Using similar triangle for ΔABC and ΔABD:

\(\frac{AC}{AB}= \frac{BC}{BD} \\\\\frac{13}{12}=\frac{5}{BD}\\\\BD=\frac{12*5}{13}\\ BD=4.615\ in\)

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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Answer:

first page is 12, and the facing page is 13.

Step-by-step explanation:

The pages are facing each other, so they are consecutive numbers:

Let x = the first page number

y = the second page number

The second page number is just 1 more than the first, because they are consecutive numbers:

x+1 = y

We also know that the products of the numbers is equal to 156:

xy = 5852

Now we will sub y = x+1 into the second equation:

x(x+1) = 5852

x^2 + x = 5852

x^2 + x - 5852 = 0

Factoring (or using the quadratic formula) gives us:

(x+13)(x-12) = 0

x = - 13, or x = 12.

A page number can't be negative, so we will choose x=12.

This means that the second page must be page 13.

Answer:

C

Step-by-step explanation:

The number of people who have heard a rumor is modeled by the logistic function:

\(\displaystyle f(x)=\frac{260}{1+23e^{-0.06x}}\)

And we want how many days has passed since the rate at which the rumor spread began to decrease.

First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.

Recall that the point of maximum growth is always half of the maximum capacity.

In this case, that point will be 260/2 = 130.

For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:

\(\displaystyle 130=\frac{260}{1+23e^{-0.06x}}\)

Cross-multiply:

\(130(1+23e^{-0.06x}})=260\)

Distribute:

\(130+2990e^{-0.06x}=260\)

Solving for x:

\(2990e^{-0.06x}=130\)

Therefore:

\(\displaystyle e^{-0.06x}=\frac{130}{2990}=\frac{1}{23}\)

Taking the natural log of both sides:

\(\displaystyle -0.06x=\ln\Big(\frac{1}{23}\Big)\)

Therefore:

\(\displaystyle x=\frac{\ln(1/23)}{-0.06}\approx52.3\)

After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.

Answer:

1. 59  2.90  4.31   3. Sorry I dunno

Step-by-step explanation:

1. the 59 degrees is the same.

2. It's a perfect angle

3. Sorry

4.180-90-59=31

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Reduce the expression, if possible, by canceling the common factors.

Exact Form: 22/15

Decimal Form: 1.46

Mixed Number Form: 1/715

\( {a}^{m} \times {b}^{m} = ( {ab)}^{m} \)

please mark this answer as brainlist

Answer:

A.

Step-by-step explanation:

400 is a flat rate. adding that to the variable. c × 15 represents the earnings per c customers. this is the right answer I promise.

Answer:

I thinks it A

Step-by-step explanation:

it seems right

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

Answer:

You are correct.

Step-by-step explanation:

The x-intercept could be written the way you have or also it can be written as a point (-1, 0).

The y-intercept could also be written as a point (0, -2) But they are commonly written the way you have also.

So, the slope is -2. But just to be clear. That slope of -2 has nothing to do with the y-intercept of -2.

If you mark all the points on the line, to get from one point to the next point, you go down 2 and over (positive direction) 1. The down 2 in math is -2 and the over 1 is just 1. The slope is that ratio of -2/1.

Slope tells us if the line is going up or down, steep or flat, even horizontal. It was coincidence only that the y-intercept and slope were the same number.

Answer:

4 years

Step-by-step explanation:

The rate of change of the area of the trapezoid at that instant is 5 square kilometers per second and this can be determined by differentiating the area of the trapezoid with respect to time 't'.

Given :

First, determine the area of a trapezoid, that is:

\(\rm A = \dfrac{b_1+b_2}{2}\times h\)

\(\rm \dfrac{2A}{h}=b_1+b_2\)

\(\rm b_2 = \dfrac{2A}{h}-b_1\)

Now, differentiate the above expression with respect to 't'.

\(\rm \dfrac{db_2}{dt} = -\dfrac{2A}{h^2}\dfrac{dh}{dt}-\dfrac{db_1}{dt}\)

Now. substitute the values of the known terms in the above formula.

\(\rm \dfrac{db_2}{dt} = -\dfrac{2\times (16)}{2^2}\times (5)-(-8)\)

\(\rm \dfrac{db_2}{dt} = -32\;km/sec\)

So, the area is decreasing at the rate of 5.

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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The domain can be best described using interval notation. The domain is [-7,8].

The range can be best described using interval notation. The range is [-4,3]

The graph of a function is given. As the graph is a straight line, it is clear that the function is a linear function. Also the function graphed has no breaks or jumps. Hence the function is continuous.

The domain of a function is the x-values for which the function is defined or the function has values.

The values of the function corresponding to the x-values in the domain is called the range. It is also called image and is a subset of the co-domain set.

Now since the graph of the function given is continuous we can better describe the domain and range of the function in the form of intervals.

The x-values for which the function is defined lies form -7 to 8 on the x-axis and hence it is the domain.

The y-values corresponding to the x-values in the domain lies between -4 and 3 on the y-axis and hence it is the range.

That is,  The domain is [-7,8] and  The range is [-4,3].

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Answer:

6ft

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

By the triangle side length rule  the third side must be lessthan the sum of the other two sides, soooooo....

11 < AC < 23

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

\(\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0\)

Hence option C is correct.

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Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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The number of people at the graduation party would be 57.5, so the quantity of food required for them is Food item A  = 65 piece, Food item B  = 14(1/6) pounds and Food item C  = 4(3/8) pounds.

What is fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Number of guests in the graduation party, a = 40

Number of drop in guests at the graduation party,  b = 35

Now, drop-in guests are counted as half a guest, so the number becomes b = 35/2.

Total number of guests = a + b

Total number of guests = 40 + 35/2

Total number of guests = (80+35)/2

Total number of guests = 115/2

Total number of guests = 57(1/2)...

The table shows amount of food -

Food item A 26 piece, Food item B  5(2/3) pounds and Food item C  1(3/4) pounds.

Also, it recommends amount of food to order for 23 party guests.

So, number of groups having 23 people -

= 2(23) + 11.5 group

= 2(23) + 1(1/2) group...

Therefore, there should be 2(1/2) times quantity of food mentioned in the table.

For Food item A  - 26 × 2(1/2)

= 26 × 5/2

= 65 piece

For Food item B  - 5(2/3) × 2(1/2)

= 17/3 × 5/2

= 85/6

= 14(1/6) pounds...

For Food item C  - 1(3/4) × 2(1/2)

= 7/4 × 5/2

= 35/8

= 4(3/8) pounds...

Therefore, the quantity of food for party should be Food item A  = 65 piece, Food item B  = 14(1/6) pounds and Food item C  = 4(3/8) pounds.

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the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.

To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.

The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.

Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.

Therefore, the answer is 0.05 < p < 0.1.

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