Write this rate as a unit rate 7/5 miles 2/3 hour

Answer:

22otvllslsbbegf. 23+15

Step-by-step explanation:

Answer:

y- intercept = - 5, slope = 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 8x - 5 ← is in slope- intercept form

with slope m = 8 and y- intercept b = - 5

Answer: slope: 8, intercept: (0, −5)

Step-by-step explanation:

Find the Slope and y-intercept

y = 8x − 5

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Find the values of m and b using the form y = mx + b.

m = 8

b = −5

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 8

intercept: (0, −5)

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Answer:

It would be B

Step-by-step explanation:

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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(a) The implicit differentiation of 7x²-y² = 9 is 7x / y.
(b) The explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

(a) Given the equation 7x² - y² = 9, we want to find y' by implicit differentiation.
1: Differentiate both sides of the equation with respect to x.
d(7x² - y²)/dx = d(9)/dx

2: Apply the differentiation rules.
14x - 2yy' = 0 (Here, we used the chain rule for differentiating y^2, i.e., d(y²)/dx = 2y(dy/dx) = 2yy')

3: Solve for y'.
2yy' = 14x
y' = 14x / (2y)
y' = 7x / y

So, the implicit differentiation of y' is 7x / y.

(b) Now, we will solve the equation explicitly for y and differentiate to get y' in terms of x.

1: Solve the equation 7x² - y² = 9 for y.
y^2 = 7x² - 9
y = ±√(7x² - 9)

2: Differentiate both sides with respect to x.
For the positive square root:
y = √(7x²- 9)
y' = d(√(7x² - 9))/dx

Using the chain rule:
y' = (1/2) * (7x²- 9)-¹/² * 14x
y' = 7x / √(7x² - 9)

For the negative square root :
y = -√(7x²- 9)
y' = d(-√(7x² - 9))/dx

Using the chain rule:
y' = -(1/2) * (7x² - 9)^-¹/² * 14x
y' = -7x / √(7x² - 9)

So, the explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

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Answer:

-38

Step-by-step explanation:

-38 - 7 = -45

-45 divided by 9 = -5

Answer: y = -38

The value of y is -38

Step-by-step explanation:

First, you want to multiply all terms by the same value to eliminate fraction denominators:

-5 = (y-7) / (9)

9(-5) = 9 * (y - 7) / (9)

Then you will cancel multiplied terms that are in the denominator:

9(-5) = 9 * (y - 7) / (9)

9(-5) = y - 7

Then multiply the numbers:

9(-5) = y - 7

-45 = y - 7

Solve and simplify:

y = -38

Solution:

y = -38

Hope this helps =)

The value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

Given inequality:

⇒ 4x - 12 ≤ 16+8x

rearranging the like terms

4x - 8x - 12 ≤ 16

4x - 8x ≤ 16+12

-4x ≤ 16+12

-4x ≤ 28

divide by 4 on both sides

-4x/4 ≤ 28/4

-x ≤ 28/4

-x ≤ 7

x ≥ -7.

Therefore the value of x is in the solution set of 4x - 12 ≤ 16+8x is x ≥ -7.

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Answer:

Check pdf

Step-by-step explanation:

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Therefore, the correct order of the angles from greatest to least is: ∠C > ∠A > ∠B. So, Mary's original order of the angles was incorrect.

An angle is a geometric figure formed by two rays that share a common endpoint called the vertex. The rays are called the sides of the angle. Angles are usually measured in degrees or radians, and they are classified by their size into acute, right, obtuse, straight, or reflex angles.

Here,

To find the correct order of the angles, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles:

cos A = (b² + c² - a²) / 2bc

cos B = (c² + a² - b²) / 2ca

cos C = (a² + b² - c²) / 2ab

Where a, b, and c are the side lengths of the triangle opposite to angles A, B, and C respectively.

Substituting the given values, we get:

cos A = (40² + 25² - 55²) / (2 x 40 x 25)

= -0.36

cos B = (25² + 55² - 40²) / (2 x 25 x 55)

≈ 0.53

cos C = (55² + 40² - 25²) / (2 x 55 x 40)

≈ 0.78

Since the cosine function is a decreasing function in the interval [0, 180°], the largest angle will have the smallest cosine, and vice versa.

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Answer:

Hope the picture will help you.....

Answer:

b=44

b=44 - 9

b=44 + 5

x+x+x = 44

x + (x-9) + (x+5) = 44

3x - 4 = 44

+4

3x =48

÷3

x=16

So, first photo contains 16 birds.

x=16

(x-9) - - > 16-9 = 7

(x+5) - - >16+5=21

16 + 7 + 21 =44

Answer is 16 birds in first photo

Hope this helps!

Answer:

75 degrees

Step-by-step explanation:

m < 4 = 40

m < 3 = 65

m < 3 = m < 5 (alternate interior angles)

m < 2 = 180 - (m < 4 + m < 5)

m < 2 = 180 - (40 + 65)

m < 2 = 180 - 105

m < 2 = 75

Answer:

\(-16\), \(10\)

Step-by-step explanation:

To get the coefficients, we first need to factor the expressions

\((2x-4)^{2}\)

\((2x-4)(2x-4)\)

\(4x^{2}-16x+16\)

The coefficient of x is -16

\((x+3)(x^{2}+7x+8)\)

\(x^{3}+10x^{2}+29x+24\)

The coefficient of x² is 10

plz mark me brainliest. :)

Answer:

the answer would be a % because of the divisibility rule

Answer:

i think A

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

\( \frac{64 \times {5}^{ \sqrt{25} } \times {17}^{ \sqrt{27} \times {17}^{ - \sqrt{12} } } }{2 \times {5}^{5} \times 16 \times {17}^{ \sqrt{3} } } \\ \\ = \frac{64 \times {5}^{ 5 } \times {17}^{ 3\sqrt{3} \times {17}^{ - 2 \sqrt{3} } } }{32 \times {5}^{5} \times {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {5}^{ 5 } \times {17}^{ 3\sqrt{3} \times {17}^{ - 2 \sqrt{3} } } }{{5}^{5} \times {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {17}^{ 3\sqrt{3} - 2 \sqrt{3} } }{ {17}^{ \sqrt{3} } } \\ \\ = \frac{2 \times {17}^{ \sqrt{3}} }{ {17}^{ \sqrt{3} } } \\ \\ = 2\)

Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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\(8\div \cfrac{2}{3}\implies \cfrac{8}{1}\div \cfrac{2}{3}\implies \cfrac{8}{1}\cdot \cfrac{3}{2}\implies \cfrac{8}{2}\cdot \cfrac{3}{1}\implies 4\cdot 3\implies 12\)

We need to find the inverse of the function gof (x). First we need to find the composite function gof (x) which is given by:

\(g(f(x)) = g(3x - 6)\)

= \((1/3)(3x - 6) + 1\)

= x - 1 + 1

= x

Thus,

gof (x) = x.

Now we need to find the inverse of the function gof (x) to obtain

\((gof)^-1 (x).\)

We have gof (x) = x

which implies\((gof)^-1 (x)\)

= gof (x)^-1

= x^-1

= 1/x,

x ≠ 0

Therefore,

\((gof)^-1 (x) = 1/x\)

which is option (3) (x+1) since 1/x can be written as 1/(x+1-1), where (x+1-1) is the denominator of 1/x.

Hence, the correct option is (3).

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To find (g(f))^-1 (x), substitute the expression for f(x) into g(x) and simplify. The composition of g(f) is x and its inverse is also x. Therefore, (g(f))^-1 (x) equals x.

To find (g(f))^-1 (x), we need to first find the composition of g(f) and then find its inverse. Start by substituting the expression for f(x) into g(x): g(f(x)) = g(3x-6) = \frac{1}{3}(3x-6) + 1 = x - 1 + 1 = x. So, g(f(x)) = x. Now, to find the inverse of g(f), we switch the x and y variables and solve for y: y = x. Therefore, (g(f))^-1 (x) = x.

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Answer:

\(m\widehat{VU}=120^{\circ}\)

Step-by-step explanation:

The angle \(\angle TUV\) forms arc \(\widehat{TV}\). The measure of this arc is twice the measure of angle \(\angle TUV\), since \(U\) is a point on the circle. Since \(\overline{TU}\) forms an arc \(\widehat{TU}\), we can set up the following equation:

\(\widehat{TV}+\widehat{VU}=\widehat{TU}\).

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

\(\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}\)

Answer:

Area of square= d²/2

= 4²/2

= 16/2

= 8cm²

Step-by-step explanation:

A=

\(a {?}^{2} \)

d=

\( \sqrt{2a} \)

we can find A.USE THIS FORMULA

A =1/2 d squared

so 1/2×4 squared=8

8 is the answer

The survey results suggest that the proportion of people receiving flu shots is higher in the city than in the suburbs, with strong evidence to support this claim.

The null hypothesis (H₀) for this hypothesis test is that the proportion of people receiving flu shots in the city is the same as the proportion in the suburbs. The alternative hypothesis (H₁) is that the proportion in the city is greater than the proportion in the suburbs.

To test this, we can use the two-proportion z-test. We calculate the test statistic using the following formula:

z = (p₁ - p₂) / √((p* (1 - p/ n₁) + (p* (1 - p) / n₂))

where p₁ and p₂ are the sample proportions, n₁ and n₂ are the sample sizes, and p is the combined sample proportion.

In the city, 187 out of 250 people received flu shots, so the sample proportion is p₁ = 187/250 = 0.748. In the suburbs, 98 out of 180 people received flu shots, so the sample proportion is p₂ = 98/180 = 0.544. The combined sample proportion is p= (187 + 98) / (250 + 180) ≈ 0.63.

Plugging these values into the formula, we can calculate the test statistic:

z = (0.748 - 0.544) / √((0.63 * (1 - 0.63) / 250) + (0.63 * (1 - 0.63) / 180)) ≈ 5.14

The next step is to calculate the p-value associated with this test statistic. Since we are testing whether the proportion in the city is at least the same as the proportion in the suburbs (one-sided test), we look for the area under the standard normal curve to the right of the test statistic. The p-value turns out to be extremely small, much smaller than the significance level α = 0.05.

Since the p-value is less than the significance level, we reject the null hypothesis. This means there is enough evidence to conclude that the proportion of people receiving flu shots is higher in the city than in the suburbs.

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Answer:

2^3 or 8

Step-by-step explanation:

when you divide an exponent by an exponent, you subtract the 2 exponents

For example, 2^6/2^3=2^(6-3)=2^3

If you want to simplify 2^3, it is equal to 8

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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The correct system of linear equations are:

2x + 5y = 46

5x + 3y = 58

Each ham sandwich costs $8. Each roast beef sandwich costs $6

Since 2 roast beef sandwiches and 5 ham sandwiches cost $46. We can write:

2x + 5y = 46

Also,  5 roast beef sandwiches and 3 ham sandwiches cost $58. We can write:

5x + 3y = 58

Thus, the correct system of linear equations are:

2x + 5y = 46

5x + 3y = 58

Let's solve the equations using elimination method:

5 * (2x + 5y = 46) = 10x + 25y = 230

2 * (5x + 3y = 58) = 10x + 6y = 116

                              .................................

                                          19y = 114

                              .................................

y = 114/19

y = 6

Put y = 6 in 2x + 5y = 46 and solve for x:

2x + 5y = 46

2x + 5(6) = 46

2x + 30 = 46

2x = 46 -30

2x = 16

x = 16/2

x = 8

Therefore, each ham sandwich costs $8 and each roast beef sandwich costs $6

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Answer:

slope-5/6

y-intercept(0,6)

Step-by-step explanation:

to find the slope i did rise/run

y-intercept is where the line hits a perfect point on the y axis

good luck :)

i hope this helps

have a great day !!

Answer:

x = 6

Step-by-step explanation:

-2 + x = 4

x = 4 + 2

x = 6

Thank you :-)