IM SO DESPERATE HELP NOW I CANNOT FAIL

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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The area of each rectangle is; 11.25 in².

The area of each small square is; 6.25 in².

The area of each large square is; 72.25 in².

The total area of 100 small squares is; 625 in².

It follows from the task content that the two-dimensional quantity which is to be measured as in the task content are; Area of the squares and the rectangle.

Recall; The area of a square is given by; A = s² where s is the side lengths.

Also, the area of a rectangle is; A = l × b.

Part A: It therefore follows that; The area of each rectangle is; 2.5 × 4.5 = 11.25 in².

Part B: It therefore follows that; The area of each small square is; 2.5² = 6.25 in².

Part C: It therefore follows that; The area of each large square is; 8.5² = 72.25 in².

Part D: Since the area of each small square is; 6.25 in², it follows that the area of 100 small squares is; 6.25 × 100 = 625 in².

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total income from the continuous caster in the first year is $43200

A serial caster's first year gross income can be found by integrating the function f(t) representing the number of months in a year from t = 0 to t = 12.

To find this integral, we can use the formula for integrals of exponential functions.

∫ f(t) dt = F(t) = 36000/0.05 * (e0.05t - 1)

Inserting the limits of the integration, we get:

∫36000e0.05t dt from t = 0 to t = 12 = 36000/0.05 * (e0.05*12 - 1) = 36000/0.05 * (1.63 - 1) = 36000/0.05 * 0.63 = 43200

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Answer:55%

Step-by-step explanation:

Answer:

55% i don't know if this helps so sorry if not

Center-to-center spacing between the beams is 11.375in

If there are 19 beams then there will be 18 spaces between them.

Let's call the center-to-center spacing "x". Then we can set up the following equation:

18x = 204.75

To solve for x, we can divide both sides by 18:

x = 204.75 / 18

x = 11.375 (to 3 decimal places)

Briefly, a beam is a structural element that is designed to resist loads applied transverse to its longitudinal axis.

Beams are often made of materials like:

Beam comes in various sizes and shape depend on the specific application and the loads that they are designed to support.

Beams are an important component of many types of structures, from buildings and bridges to vehicles and machinery.

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Answer:

check it

Step-by-step explanation:

“Lucynell don’t even know what a hotel is,” the old woman muttered. “Listen here, Mr. Shiftlet,” she said, sliding forward in her chair, “you’d be getting a permanent house and a deep well and the most innocent girl in the world. You don’t need no money. Lemme tell you something: there ain’t any place in the world for a poor disabled friendless drifting man.”

The ugly words settled in Mr. Shiftlet’s head like a group of buzzards in the top of a tree.

—“The Life You Save May Be Your Own,”

Flannery O’Connor

Which two things are being compared in the last sentence?

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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Answer:

1/3

Step-by-step explanation:

We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is

(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =

1.5 / 4.5 = 1 / 3. Hope this helps!

Answer:

Step-by-step explanation:

NVM ITS WRONG

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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The value of x + y = - 53

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given data ,

The value of x = - 87

The value of y = 34

The equation x + y is calculated by substituting the values of x and y in the equation ,

Therefore , x + y = ( - 87 ) + 34

                           = -53

Hence , the value of x + y is equal to - 53

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Solution:

Note that:

Using cross multiplication:

Simplifying both sides:

Subtracting 80x both sides:

Simplify the LHS:

Ratio remains same

\(\\ \rm\bull\rightarrowtail \dfrac{20}{3x}=\dfrac{28}{4x+2}\)

\(\\ \rm\bull\rightarrowtail 84x=20(4x+2)\)

\(\\ \rm\bull\rightarrowtail 84x=80x+40\)

\(\\ \rm\bull\rightarrowtail 4x=40\)

\(\\ \rm\bull\rightarrowtail x=10\)

Answer:

2:1

Step-by-step explanation:

12:6 reduced to the simplest form is 2:1

Answer:

12:6 in the simplest form is 2:1.

Step-by-step explanation:

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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Answer:

\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Answer:

52

Step-by-step explanation:

24-3=21 21÷3=7 24 + 21 + 7 = 52

Answer:

the 3/5 would go in between the 0 and 1 closer to the zero, the 9/5 would go in between the 1 and two because it = 1 4/5. so closer to the 2 almost on it. 4/5 goes almost on the 1, little behind it tho in the direction of the 0. the 11/5 goes right in between the 2 and 3.

Step-by-step explanation:

Answer:

x=15

y=25

Step-by-step explanation:

first number x

second number y

x+y=40

y=2x-5

x+(2x-5)=40

x+2x-5=40

3x=45

x=45/3=15

y=(2*15)-5=25

Answer:

\(\frac{10}{7}x^4\)

Step-by-step explanation:

There is an exponent rule which essentially states: \(\frac{x^a}{x^b}=x^{a-b}\)

All this is doing is essentially cancelling out the terms, since you can think of it as: \(\frac{x^a}{x^b}\implies \frac{x*x*x...\text{ "a" amount of times}}{x*x*x...\text{"b" amount of times}}\), and if you recall, multiplication and division cancel. So we cancel out "b" amount of x's, leaving us with "a - b" amount of x's. Which can also be expressed as: \(x^{a-b}\)

We can use this logic to solve our problem: \(\frac{20x^6}{14x^2}\), here we can separate this into two different fractions: \(\frac{20}{14}*\frac{x^6}{x^2}\) and we can use basic division on the left side and our exponent rule on the right side. This gives us the following:  \(\frac{10}{7}x^{6-2}\implies \frac{10}{7}x^4\) which is our solution!

A. He arrives at Nuneaton at 14:01; B. The trip was 100 minutes. C. Vikram will not be on time to catch the train.

Based on the table, Jum should have arrived at 13:54; however, we know he was 7 minutes late. Then, let's calculate the time:

13:54 + 7 minutes = 14:01

Let's calculate the time using the arrival and departure times:

14:01 - 12:21 = 100 minutes considering there are 39 minutes till 13:00 and 61 minutes until 14:01 (39+61 = 100)

Vikram arrived on time in Nuneaton, which means he arrived at 10:28 and then, he was there for 3 hours and 30 minutes:

10:28 + 3:30 = 13:58

This shows he will not be on time to catch the 13:54 train

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

slope=-2

y-intercept= -3

Step-by-step explanation:

8x+4y=-12 given

4y = -12 -8x subtract 8x

y = -3 -2x divide by 4

y = -2x -3 y-intercept form

slope is the number before the x (-2)

y-intercept is the constant (-3)

chance  standard normal random variable is less than null hypothesis to -1.87 is known as the p-value. We determine the p-value to be 0.0307 using a typical table or calculator that is widely used.

A null hypothesis, a subtype of statistical hypothesis, asserts that a specific set of observations has no statistical meaning. Using test data, ideas are assessed for viability. occasionally known as "zero" and symbolized by H0. Researchers believe that there might be a connection between the variables. On the other side, the null hypothesis claims that such a relationship doesn't exist. Even though it might not seem essential, the null hypothesis is a crucial component of research.

H0: p  0.30 (the actual percentage is at least 30%)

Ha: The actual proportion is less than 30%, so p  0.30.

The exam statistic comes from:

z is equal to (p - p 0) / sqrt(p 0 * (1 - p 0) / n).

where n is the sample size, p0 is the percentage's null hypothesis value, and p is the sample proportion.

When we enter the numbers, we obtain:

z = (0.23 - 0.30) / sqrt(0.30 * 0.70 / 100) = -1.87

The chance that a standard normal random variable is less than or equal to -1.87 is known as the p-value. We determine the p-value to be 0.0307 using a typical table or calculator that is widely used.

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Answer:

\(\mathbf{E(p) = 1 - 3p}\)

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded \(q = pe^{-3p}\)

Taking differentiations ; we have,

\(\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})\)

\(\dfrac{dq}{dp}=(1-3)e^{-3p}\)

Now; the price elasticity of demand using the differentials definition of elasticity  is:

\(E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}\)

\(E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]\)

\(\mathbf{E(p) = 1 - 3p}\)

(b)   Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

\(=\dfrac{2.10-2.00}{2.00}*100 \%\)

= 5%

From (a)

\(\mathbf{E(p) = 1 - 3p}\)

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Answer:

y = 0.30x + 0.70

Step-by-step explanation:

Assuming that the options are

A.

y = 1.90x + 0.40

B.

y=0.30x +0.70

C.

y= 0.90x + 0.30

D.

y= 1.30x + 1.70

(these might be in a random order for different people)

the answer would be B. y=0.30x +0.70

Answer:

8

Step-by-step explanation:

Thanks I was reading it like "what?" lma oo

But thanks Have a good day!!

The surface areas for each figures are:

1. The surface area of the cuboid is:

Top and bottom: 2(10 ft x 4 ft) = 80 ft²

Front and back: 2(10 ft x 5 ft) = 100 ft²

Sides: 2(4 ft x 5 ft) = 40 ft²

Total surface area = 80 + 100 + 40 = 220 ft²

2. The surface area of the cuboid is:

Top and bottom: 2(18 cm x 5 cm) = 180 cm²

Front and back: 2(18 cm x 5 cm) = 180 cm²

Sides: 2(5 cm x 5 cm) = 50 cm²

Total surface area = 180 + 180 + 50 = 410 cm²

3. The surface area of the prism is:

Top and bottom: 2(5 cm x 14 cm) = 140 cm²

Front and back: 2(5 cm x 12 cm) = 120 cm²

Sides: 2(12 cm x 14 cm) = 336 cm²

Total surface area = 140 + 120 + 336 = 596 cm²

4. The surface area of the stacked cuboids is:

Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²

Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²

Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²

Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²

Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²

Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²

Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²

Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²

5. The surface area of the cylinder is:

Top and bottom: 2π(6 mm)² = 72π mm²

Side: 2π(6 mm)(5 mm) = 60π mm²

Total surface area = 72π + 60π = 132π mm²

6. The surface area of the cylinder is:

Top and bottom: 2π(1 ft)² = 2π ft²

Side: 2π(1 ft)(10 ft) = 20π ft²

Total surface area = 2π + 20π = 22π ft²

7. The surface area of the cylinder stacked on a cube is:

Top and bottom of cylinder: 2π(5 m)² = 50π m²

Side of cylinder: 2π(5 m)(8 m) = 80π m²

Surface area of cube: 6(10 m x 13 m) = 780 m²

Total surface area = 50π + 80π + 780 = (130π + 780) m²

8. The surface area of the cylinder is:

Top and bottom: 2π(9 in)² = 162π in²

Side: 2π(9 in)(4 in) = 72π in²

Therefore, the total surface area of the cylinder is:

2(162π in²) + 72π in² = 396π in²

So the surface area of the cylinder is 396π square inches.

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Image transcribed:

Find the surface area of each figure.

10 ft

18 cm

5 cm

4 ft

5 ft

3.

4.

6 cm

7 cm

2 cm

5 cm

12 cm

14 cm

4 cm

10 cm

8 cm

Find the surface area of each cylinder. Leave your answer in terms of π.

5.

6 mm

6.

1 ft

5 mm

10 ft

7.

5 m

8.

4 in.

8 m

10 m

9 in.

13 m

11 m

247

Journal and Practice Workbook

Geometry

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240