Answer all questions please

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

a) 640.32 cm^3

b) 98.4 cm^3

(3.14) × 2^2 × 12 = 150.72 cm^3

We need to find the height of the base so we use the Pythagorean theorem.

5^2 + x^2 = 14.1^2

25 + x^2 = 198.81

x^2 = 173.81

x = 13.184

After finding height, we can use the equation for a normal triangular prism:

\(\frac{1}{2}\) × Base × Height × Length

\(\frac{1}{2}\) × 13.184 × 10 × 12= 791.04cm^3

Total Volume: 791.04 - 150.72 = 640.32 cm^3

\(\frac{4}3\) × 3.14 × 1^3 = \(\frac{314}{75}\)cm^3

0.5(\(\frac{4}3\)× 3.14 × 3^3) = 56.52cm^3

5^2 = 3^2 + h^2

25 = 9 + h^2

16 = h^2

h = 4

(3.14) × 3^2 × \(\frac{4}{3}\) = 37.68 cm^3

Total Volume = 98.4 after rounding

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

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Answer:

I think its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Outline

You could have 2 values. The way to get them is to take the square root of 25, c is double the value you get for the first step.  Why 25? Well you only have 1 other choice and that is the 1 that is in front of the x^2. That's not very helpful.

Formula

c = ± 2*sqrt(25)

Solution

c = ± 2 * sqrt(25)

c = ± 2 * 5

c = ± 10

Comment

Where does the ± come from?

You need to get + 25

If you have (x - 5)(x - 5) the last term will be -5 * - 5 = 25

Similarly you get the same result with (x + 5)(x + 5)

Answer:

32

Step-by-step explanation:

Given the algebraic expression;

\( 3x^{2} + 2(x + 4x) = 0 \)

When x = 2

It simply means that we would substitute the value of x into the equation.

\( 3*2^{2} + 2(2 + 4*2) \)

\( 3*4 + 2(2 + 8) \)

\( 12 + 2(10) \)

\( 12 + 20 \)

\( 12 + 20 = 32 \)

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

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Answer:

The answer would be a

Step-by-step explanation:

An acute angle is an angle with two similar sides an obtuse angel is an very wide trianglee

Step-by-step explanation:

please mark me as brainlest

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

Answer:

x-7

Step-by-step explanation:

Answer:

\(\frac{8}{9}\)

Step-by-step explanation:

Given

Series: 0.8 + 0.08 + 0.008 + 0.0008 + ...

Required

Determine a rational number to represent the series

To do this, we simply get the sum to infinity of the series;

This is done as follows;

\(S = \frac{a}{1 - r}\)

Where a represent the first term

\(a = 0.8\)

r represent the common ratio

\(r = \frac{0.08}{0.8}\)

\(r = 0.1\)

Substitute these values in the above formula

\(S = \frac{0.8}{1 - 0.1}\)

\(S = \frac{0.8}{0.9}\)

Multiply the numerator and denominator by 10

\(S = \frac{8}{9}\)

Hence;

The number is \(\frac{8}{9}\)

Answer

radius of the sphere = 5 m

Explanation

The volume of a sphere is given as

Volume = (4/3) × πr³

where

Volume = 523.33 m³

r = radius of the sphere = ?

π = pi = 3.14

Volume = (4/3) × πr³

523.33 = (4/3) × 3.14 × r³

r³ = 125

Take the cube root of both sides

∛(r³) = ∛(125)

r = 5 m

Hope this Helps!!!

Answer:

12

Step-by-step explanation:

38 and 54

if you add these numbers you will get 92 and if you subtract them you will get 16

Answer: “Rate of change” just means “slope”. All of calculus is just ways to find the slope for curves. Find y at -5 and at -4 and calculate the slope.

Step-by-step explanation:

Answer:

i think its 0.2

Step-by-step explanation:

The point that partitions the line in the ratio of 1:3 is (1.333, 3.333).

Given two points P1(x1,y1) and P2(x2,y2), the point that partitions the directed line between these two points in a given ratio r can be calculated using the following formula:

P(x,y) = (x1 + r(x2-x1), y1 + r(y2-y1))

For example, if we have P1(1,2) and P2(4,6) and we want to partition the line in a ratio of 1:3, the point P(x,y) can be calculated as follows:

P(x,y) = (1 + 1/3(4-1), 2 + 1/3(6-2)) = (1.333,3.333)

Therefore, the point that partitions the line in the ratio of 1:3 is (1.333, 3.333).

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Answer:

~78.54 mi^2

Step-by-step explanation:

The area of a circle is defined as π r^2. The radius is 10 miles. 10^2 is 100. 100 x π is roughly 314.16. Since we know the angle is 90 degrees, we know that it makes up one fourth of the entire area. 314.16 divided by 4 is 78.54.

The factoring of the quadratic function as a product of two binomials is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

The quadratic function for this problem is given as follows:

x² + 10x + 24.

To factor the quadratic function as a product of the two binomials, we must obtain it's roots, that is, solve:

x² + 10x + 24 = 0.

The coefficients of the quadratic function are given as follows:

a = 1, b = 10, c = 24.

Hence the discriminant is of:

D = 10² - 4 x 1 x 24 = 4.

The first root of the quadratic function is given as follows:

x = (-10 - square root of (4))/2 = -6.

The second root of the quadratic function is given as follows:

x = (-10 + square root of (4))/2 = -4.

Hence, using the Factor Theorem, the binomial product is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

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Answer:

Answer:

The answer is A $ 58,420

Explanation:

If we multiply the monthly benefits of health and life insurance combined we will get the annual value of them.

$35 + $250 = $285

$285*12 = $3420

We already know the annual salary package which is $55000, by adding annual salary to the above calculated annual benefits you will get the total annual value of total compensation.

$55000+$3420 = $58,420

Step-by-step explanation:

Have a good day;-)

Answer:

58,420

Step-by-step explanation:

Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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Answer:

81%

Step-by-step explanation:

P (Defective item) = 10% , P (Defective identified) = 90% of defective = 90% of 10% = 9%

P (Non defective item) = 1 - 10% = 90% , P (Non defective identified) = 80% of non defective = 80% of 90% = 72%

Prob (Scanner identifies correctly) = Pr (non defective mentioned non defective) & Pr (defective mentioned defective)

= 9% + 72% = 81%

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Answer:

9y - 3

Step-by-step explanation:

3(y - 1 + 2y)

3y - 3 +6y

9y - 3

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

C. p-value is 0.07

Step-by-step explanation:

The sample mean was 4 years below the hypothetized mean, and 14 of 200 simulated results were this far or farther above or below the hypothesized mean.

Brainliest, please :)

Answer:

Choice B.

19/ 20

Step-by-step explanation:

This is because there are 26 letters in the alphabet, 19 of which are non-vowels.

Answer:

21/26

Step-by-step explanation:

because there are 26 letter in the alphabet

and there are 5 vowels

so 26 - 5 = 21

21/26

Answer:

3x=15

x=15/3

x=5

56=-8x

56/-8=x

-7=x

x/4=20

x=20×4

x=80

10=x/-2

10×-2=x

-20=x

-6y=-48

y= -48/-6

y=8

Answer:

\(1)3x = 15 \\ \\ x = \frac{15}{3} \\ \\ x = 5 \\ \\ 2)56 = - 8x \\ \\ x = \frac{56}{ - 8} \\ \\ x = - 7 \\ \\ 3) \frac{x}{4} = 20 \\ \\ x = 20 \times 4 \\ \\ x = 20 \\ \\ 4)10 = \frac{x}{ - 2} \\ \\ 10 \times ( - 2) = x \\ \\ x = - 20 \\ \\ 5) - 6y = - 48 \\ \\ y = \frac{ - 48}{ - 6} \\ \\ y = 8\)