A restaurant sold 9 hot dogs every day for a week.
How many hot dogs were sold during the week?​

No, -5 is smaller than -2 because in negative number the farther the number from the 0 to the left, the smaller it is.

Yes, the correct statement is -5 < -2

Answer:

8 units

Step-by-step explanation:

here's your solution

=> let the length of rectangle be X

=> then width = x - 7

=> area = 8units

=>> area = length*width

=> area = x (x-7) = 8

=> x^2 - 7 = 8

=> now, x^2 - 7x - 8 = 0

=> factories the above equation by middle term split

=> x^2 - 7x - 8

=> x^2 - 8x + x - 8

=> take the common

=> x(x - 8) + 1(x - 8)

=> (x + 1) (x - 8)

neglect (x + 1) because this will in negative for X

=> x - 8 = 0

=> x = 8

=>so, x = 8

=>length = 8 units

Answer:

So, √128 lies between 11.0 and 11.1

Step-by-step explanation:

Answer:

Step-by-step explanation: it would lie between 11.0 and 11.1

Here's the solution :

In a sphere,

\( \boxed{ \mathsf{surface \: \: area = 4\pi {r}^{2} }}\)

now, let's solve :

hence, correct answer is B. 100π unit²

The surface area of the sphere is 100 π unit².

The correct option is B.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

Radius of Sphere= 5 unit

Now, the formula for Surface area of Sphere is

= 4πr²

= 4 (3.14) (5)(5)

= 4 x 3.14 x 25

= 314

= 10 π unit²

Thus, the Surface area is 10 π unit².

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The volume of the solid with the given semi-circular base with radius 5 units is equal to 333.33 cubic units.

As given in the question,

Radius of the semicircular base = 5 units

Equation of the circle is given by :

x² + y² = r²

⇒ x² + y² = 5²

⇒ x² + y² = 25

⇒ x = √25 - y²

Cross section is perpendicular to the base and it is parallel to the diameter  are squares:

Diameter is double of the radius

s = 2x

 = 2√25 - y²

Volume of the given solid is equal to :

V = \(\int\limits^5_0 {s^{2} } \, dy\)

  = \(\int\limits^5_0 {( 2\sqrt{25 - y^{2} }) ^{2} } \, dy\)

 = \(\int\limits^5_0 {( 4({25 - y^{2} }) } \, dy\)

= 100y - 4y³/3 (for limit 0 to 5)

=  ( 500 - 500/3 ) - 0

= 500 ( 1 - 1/3 )

= 500( 2/3 )

= 1,000/3

= 333.33 cubic units.

Therefore, the volume of the given solid with the given measures is equal to 333.33.

The above question is incomplete, the complete question is :

Use the general slicing method to find the volume of the following solid.

The solid with a semicircular base of radius 5 whose cross sections perpendicular to the base and parallel to the diameter are squares. Place the semicircle on the xy-plane so that its diameter is on the x-axis and it is centered on the y-axis. Set up the integral that gives the volume of the solid. Use increasing limits of integration.

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Two or more triangles are said to be congruent if their length of sides and measure of angles are equal. Thus, the required proof expected in the question is option D. <R ≅ <U

When the length of sides or measure of angles of two or more figures is equal, then we say the figures are congruent.

From the given question, the following can be deduced:

RT ≅ US (given: opposite sides are equal)

and TS is a common side for the two triangles.

<TRS  ≅  <RSU (alternate angle property)

<RTS  ≅ <UST (right angle property)

<RTU  ≅  <SUT (alternate angle property)

Therefore it can be observed that the necessary condition to prove that ΔRST ≅ ΔUTS is option D. <R  ≅ <U.

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Answer:

Step-by-step explanation:

We assume in this answer a general case (since the question is not complete).

Suppose, we have the next function (a line):

As can we see from the graph, the values for x are all the values in the set of Real numbers. That is, the domain of the function is from -infinity to infinity.

The domain of a function is all the possible values for x in the represented function. That is all the values that this function can take.

On the other hand, the domain of the function:

It is restricted to values that comply with the next restriction (to be possible in the set of the Real numbers):

And solving for this, we have that the domain x must be greater or equal to -2 and less or equal to 3 or:

The graphed function is sketched as follows:

Mary paid Social Security tax of $4,378.325 in 2000. This is calculated by multiplying 7.5% by the amount of income over the maximum taxable income of  $4,378.325.

The theory used in this question is the marginal tax rate, which is the tax rate that applies to the income earned over the maximum taxable income. In this case, the marginal tax rate is 7.5%, which is the Social Security tax rate.

Step 1: Calculate the amount of income over the maximum taxable income.

Maximum taxable income: $53,000

Income earned: $61,711

Amount of income over the maximum taxable income: $8,711 ($61,711 - $53,000 = $8,711)

Step 2: Calculate the Social Security tax.

Social Security tax rate: 7.5%

Amount of income over the maximum taxable income: $8,711

Social Security tax paid: $4,378.325 ($8,711 x 0.075 = $4,378.325)

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Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

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Answer:

Step-by-step explanation:

Equals 23x

Answer:

1. The function is -2x^2 + x + 3.

Step-by-step explanation:

1. The point at (1,2) gives the equation:

a * (1^2) + 1b + c = 2

a + b + c = 2

The point at (-2,-7) gives the equation:

a * (-2^2) + (-2b) + c = 7

4a - 2b + c = -7

The point at (2,-3) gives the equation:

a * (2^2) + 2b + c = -3

4a + 2b + c = -3

Hence, all three equations are:

a + b + c = 2  

4a - 2b + c = -7  

4a + 2b + c = -3

Now, subtract the second equation from the third equation to get:

(4a + 2b + c) - (4a - 2b + c) = -3 - (-7)

4a - 4a + 2b + 2b + c - c = -3 + 7

4b = 4

b = 1

Hence, let's now update our previous equations:

a + 1 + c = 2         =>         a + c = 1

4a - 2(1) + c = -7         =>         4a + c = -5

4a + 2(1) + c = -3         =>         4a + c = -5

This can be further whittled down into two equations:

a + c = 1

4a + c = -5

Hence, we can now subtract the first equation from the second to get:

(4a + c) - (a + c) = -5 - 1

4a - a + c - c = -6

3a = -6

a = -2

Therefore, c = 3 (a + c = 1, -2 + c = 1, c = 1 + 2, c = 3).

And the function is -2x^2 + x + 3.

Hope this helped!

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Answer:

360

Step-by-step explanation:

Volume of a rectangle is length times width times height

Answer:

You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.

Step-by-step explanation:

Answer:

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Answer: it is a $16,000 increase

a. TRUE, b. TRUE, c. TRUE, d. TRUE, e. TRUE, f. FALSE, g. TRUE

a. TRUE: The probability of an event can never be negative, and can at most be equal to 1, which represents certainty.

b. TRUE: The sample space is the set of all possible outcomes of an experiment, and the probability of the sample space is always equal to 1, since one of the outcomes must occur.

c. TRUE: If the events in a sequence are disjoint, then they have no outcomes in common, so the probability of the union of the events is the sum of the probabilities of the individual events.

d. TRUE: If one event is a subset of another event, then the probability of the subset is less than or equal to the probability of the superset. This follows from the fact that the subset contains fewer outcomes than the superset.

e. TRUE: The probability of the union of two events is the probability of the first event plus the probability of the second event, minus the probability of the intersection of the events, which is the probability of both events occurring together. This is known as the inclusion-exclusion principle.

f. FALSE: The formula (P(A ∩ B) = P(A)P(B)) only applies to independent events, but not all independent events are mutually exclusive. For example, if A is the event of rolling a 4 on a die, and B is the event of rolling an even number, then A and B are independent, but not mutually exclusive.

g. TRUE: If two events are mutually exclusive, then they have no outcomes in common, so the occurrence of one event tells us that the other event cannot occur. This dependence means that the events are not independent.

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Answer:

24

Step-by-step explanation:

The person above me is incorrect . I got it right on the i-Ready Quiz!

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

-6 duh its easy right

Step-by-step explanation:

We know that the growth rate of a plant is:

And for doing so, we move the dot to the first significant digit on the decimal part, in this case, 1. We see that we have to move it 4 digits to the right:

When we move the dot, we get the number:

But we can't leave it like that, because we moved the dot. For balancing the things, we multiply by 10 to an exponent.

• If we moved the dot to the ,right,, the exponent is ,negative.,

• If we moved the dot to the ,left,, the exponent is ,positive.

In this case, we moved the dot 4 UNITS TO THE RIGHT. So, the exponent will be -4, this is:

Thus, written in scientific notation 0.000152 is 1.52 × 10⁻⁴.

This can also be written as:

by moving the dot other 2 units to the right.

Note: Both expressions obtained represent the same number.

Answer:

m = 7√2/2

n = 7√2/2

Step-by-step explanation:

sin45 = m/7

√2/2 = m/7

m = 7√2/2

cos45 = m/7

√2/2 = m/7

m = 7√2/2

Answer:

I love Spanish food said Jim

I'm going to Singapore next month said Emily

Answer:

1) Jim said that he loves spanish food.

2) Emily said that she is going to SINGAPORE next month.

Step-by-step explanation:

I hope it helps.

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d)

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).