Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?

a. x>250

b. x<_250

c. x>_250

d. x<250

The area of the wildlife refuge on the map is 1 square inch : 25 square miles.

To find the area of the wildlife refuge on the map, we need to square the scale ratio of 1 inch : 5 miles.

Since the scale ratio is given as 1 inch : 5 miles, we can write it as 1 inch / 5 miles.

To square this ratio, we multiply it by itself:

(1 inch / 5 miles) x (1 inch / 5 miles)

Squaring the ratio gives us:

1 square inch / (5 miles x 5 miles)

Simplifying further:

1 square inch / 25 square miles

Therefore, the area of the wildlife refuge on the map is 1 square inch : 25 square miles.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)

Answer:

Step-by-step explanation:

Let Eva's height be x

62* 0.5 = x + 1.5

31 = x + 1.5                   Subtract 1.5 from both sides.

31 - 1.5 = x

x = 29.5

Eva is 29.5 inches tall.

Answer:

29.5

Step-by-step explanation: I took the test

The probability that the average length of a randomly selected bundle of steel rods is 0.165

Given population mean(μ)=109cm

standard deviation(σ)=1.6cm

sample size(n)=27

Let x represents the lengths of an individual rod then the z-score for

x can be given as:

z=x-μ/σ----------(1)

Also, the z score for the sample mean, x:

z=(¯x−μ)/σx

The standard error:

σ¯x=σ/√n-------------(2)

      =1.6/√27

       =1.6/5.196

σ¯x =0.3079

For a bundle of 27rods, the probability that the average length is between 109 cm and 108.7-cm:

considering m=108.7cm

P(n-m/σx)------------(3)

\(P(109 < x < 108.7)=P(\frac{109-108.7}{0.3079} )\\\\ P(109 < x < 108.7)=P(z < -0.974)\\\)

                              =0.165.

And also find using another method:

P(z < (M - population mean)/(standard deviation/square root(sample size))

P(z < (108.7-109)/(1.6/sqrt(27)) = P(z < -0.974) = 0.165.

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Answer:

x=-3

Step-by-step explanation:

The equation of the directrix is x = -3

Given the general equation of a parabola expressed as

(y-y0)² = 4a(x-x0) ... 1

Equation of the directrix will be expressed as x = x0 - a

From the equation given;

y² = 12x ... 2

Comparing 1 and 2;

x - x0 = x

-x0 = x - x

-x0 = 0

x0 = 0

Similarly;

y-y0 = y

-y0 = y - y

-y0 = 0

y0 = 0

Also;

4a = 12

a = 12/4

a = 3

Substituting x0 =0, y0 = 0 and a = 3 into the equation of the dirrectrix above, we will have;

x = x0 - a

x = 0 - 3

x = -3

Hence the equation of the directrix is x = -3

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The circumference of the given circle is 41 cm

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

The circumference of a circle is the boundary length of the circle, it is basically the perimeter of the circle, in degree measure it can not exceed by 360°

Given that, a circle, with diameter, 13 cm, we need to find it circumference.

We know that, the circumference of a circle is given by,

Circumference of the circle = π × diameter

= 3.14 × 13

= 40.82

≈ 41 cm

Hence, the circumference of the given circle is 41 cm

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Answer:

≈ 11.66 units

Step-by-step explanation:

Given points:

To find:

The distance between two points is calculated by formula:

Answer is ≈ 11.66 units

The smaller number is 4 and the larger number is 10.

Given that, the sum of the two numbers is 14.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that,  x represents the smaller of the two numbers.

Then the larger number is

The sum of twice the smaller number and two more than the larger number = 2x+2

Now, x+2x+2=14

⇒3x+2=14

⇒3x=12

⇒x=4

So, 2x+2=10

Therefore, the smaller number is 4 and the larger number is 10.

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Answer:

2¹²

Step-by-step explanation:

one expression equivalent to 16³ is 2¹²

think about it like this: we know that 2 to the power of 4 is 16

(2 x 2 = 4, x 2 = 8, x 2 = 16)

So for every "16" we already have 2⁴; meaning that 16³ is the same thing as 3 groups of 2⁴ -- which is 2¹²

hope this helps! have a lovely day :)

Answer:

Linear function

Explanation:

Given the scattered plot in the attached image.

We want to identify the type of function that can best model the given scattered plot.

The scattered point as shown in the attached image form a straight line, So, the best type of function that can best model it is a linear function (straight-line graph).

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

The quotient in polynomial form is C. x² - x ₊ 1.

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Step-by-step explanation:

A = 690ft + B

A + B = 1.384ft

(690ft + B) + B = 1.384ft

2B = 1.384ft - 690ft

2B = 694ft

B = 694ft ÷ 2

B = 347ft

A = 690ft + B

A = 690ft + 347ft

A = 1.037ft

Tower A → 1.037 feet

Tower B → 347feet

Answer:

0.04

Step-by-step explanation:

2(people who said yes) / 50(total amount) =0.04

Answer:

-25677 = -3^4×317^1

Step-by-step explanation:

Factor the following integer:

-25677

Hint: | Show that 25677 is divisible by 9.

The sum of the digits of 25677 is 2 + 5 + 6 + 7 + 7 = 27, which is divisible by 9. This means 25677 is too

25677 = 9×2853:

-25677 = -9×2853

Hint: | Express 9 as a square.

9 = 3^2:

-25677 = -3^2×2853

Hint: | Show that 2853 is divisible by 9.

The sum of the digits of 2853 is 2 + 8 + 5 + 3 = 18, which is divisible by 9. This means 2853 is too

2853 = 9×317:

-25677 = -3^2×9×317

Hint: | Express 9 as a square.

9 = 3^2:

-25677 = -3^2×3^2×317

Hint: | 3 has no proper divisors.

3 is prime:

-25677 = -3^2×3^2×317

Hint: | Find a divisor of 317 by testing the integers between 2 and sqrt(317)≈17.8 for divisibility.

Because 317 is odd, only test odd numbers for divisibility

317 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17

Since 317 is not divisible by any integer up to 17, it is prime:

-25677 = -3^2×3^2×317

Hint: | Express -25677 as a product of prime powers.

There are 4 copies of 3 and 1 copy of 317 in the product:

Answer: -25677 = -3^4×317^1

Answer:

Step-by-step explanation:

They are all Parallelogram. Properties of parallelogram: the opposite angles are equal. The consecutive or adjacent angles are supplementary (mean add together equal 180°).

7.     ∠E+110°=180°       ∠E=70°

8.     （3x+21)°=（2x+43)°

               3x+21=2x+43

                 x=22

          given ∠G=(2X+43)°, we got x=22 above

                    ∠G=(2*22+43)°=87°

9.      (2x+25)°+104°=180°

          (2x+25)°=180° - 104 °

                (2x+25)°=76°

                 2x+25=76

                           x=25.5

10.     (2x+20)°+(3x-85)°=180°

         2x+20+3x-85=180

                   5x=245

                      x=49

        given ∠A=(3X-85)°, we got x=49 above

                   ∠A=62°

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

59.55555555555556

Step-by-step explanation:

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

8(5x+3y-7)

Step-by-step explanation:

I just learned this like 2 months ago lolll

The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer:

can you please specify the question i mean is this like

Step-by-step explanation:

let the no. be x

ATQ

3x-7

or

3x= -7

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

i think you got it 17

Step-by-step explanation:

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

Step-by-step explanation:

There is only one real number x that satisfies x^3 = 2. This is because the cube of any negative number is negative, and the cube of any positive number is positive. Since 2 is positive, there are no negative real numbers that could satisfy the equation. Therefore, the only possible solution is a positive real number. By using a calculator or other methods, we can find that x is approximately 1.259921.

It is worth noting that there are two complex solutions to this equation, but the question specifically asks for real solutions.