The temperature on a summer afternoon is 85°F. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of 11 degrees Fahrenheit.

Answer:

Side BC is congruent to side YZ

After simplification, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.

In the given question we have to solve the given expression.

The given expression is (-7 + i)(-3 + 6i).

Using the distributive property to solve the given expression.

a(b+c)=ab+ac

Now simplifying the expression.

(-7 + i)(-3 + 6i) = -7(-3 + 6i) + i(-3 + 6i)

(-7 + i)(-3 + 6i) = (-7)*(-3) + (-7)*(6i) + (-3)i + (6i)i

(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6i^2

As we know that i^2 = -1. So

(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6(-1)

(-7 + i)(-3 + 6i) = 21 - 42i - 3i - 6

Simplifying

(-7 + i)(-3 + 6i) = 15 - 45i

Hence, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.

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Answer: 60mL per minute

Step-by-step explanation:

300/5=60

Can I please get brainly?

There are 2 different bad arrangements possible.

We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.

Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.

This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.

We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.

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Answer: D

Step-by-step explanation: Proportional relationship = relationships between two variables where their ratios are equivalent. 6:15 is equivalent with both 8:20 and 10:25. So D is the correct answer.

The rate of change of radius of the circle when the radius of the circle is 44 feet is 0.64 ft/s.

The area of the circle with radius R us given by,

A = πR²

It is given that the area is increasing at a constant rate of 178 square feet per second.

dA/dt = 178 ft²/s

Also, A = πR²

Differentiating A with respect to time,

dA/dt = 2πR.dR/dt

The rate of change of the radius is asked when the radius is 44 feet.

So, putting R = 44 ft.

dA/dt = 2π(44)dR/dt

178 = 2π(44)dR/dt

dR/dt = 0.64 ft/s

So, the rate of change of radius is 0.64 ft/s.

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The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is  (11, -9)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

The mid point formula is represented as follows;

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).

Hence,

(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)

Therefore,

3 = -5 + x₂ / 2

cross multiply

6 = -5 + x₂

x₂ = 6 + 5

x₂ = 11

-4 =  1 + y₂ / 2

cross multiply

-8 = 1 + y₂

y₂ = -8 - 1

y₂ = - 9

Therefore, the endpoint is (11, -9)

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The simplification of the fraction would be;

                   [tex]= \frac{350g}{1kg}[/tex]

                   [tex]= \frac{350g}{1000g}=\frac{7}{20}g= 0.35g[/tex]

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

In a simple fraction, both are integers.

A complex fraction has a fraction in the numerator or denominator.

In a proper fraction, the numerator is less than the denominator.

Explanation of the answer:

Given that :

350g/1kg

Firstly we convert kilogram into gram:

1 kg = 1000 g

The mass m in grams (g) is equal to the mass m in kilograms (kg) times 1000:

m(g) = m(kg) × 1000

So the given values are changes into:

[tex]\frac{350g}{1000g}\\[/tex]

[tex]= \frac{7g}{20g}[/tex](divide numerator and denominator by 50)

[tex]\\=0.35g[/tex]

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The graph shown has two straight lines and the correct equation is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

interpretation of the equations

4x + y = 6 ⇒ y = -4x + 6

m = -4

c = 6

from the graph only one the lines has the y intercept as 6, also the slope is negative. the line shown by at option (c) the intercept is 6/4 and the slope is positive

−2x + y = −5 ⇒ y = 2x - 5

m = 2x

c = -5

The c is not showing here but it is moving towards negative. the x intercept is showing and we can use it to confirm

y = 2x - 5

0 = 2x - 5

2x = 5

x = 2.5

this coincides with the point on the graph (2.5, 0)

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The different arithmetic progression is [tex]11, 18, 25[/tex] and the rule is to add [tex]7[/tex].

What is an arithmetic progression?

A series of numbers known as an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

We have,

                      [tex]8, 11, 13, 18, 25, 37[/tex]

Given arithmetic progression is  [tex]8, 13, 18[/tex]  and the constant difference is [tex]5[/tex].

By using this phenomenon we can create new arithmetic progression like,

                                             [tex]11, 18, 25[/tex]

Here the constant difference or rule is [tex]7[/tex].

Hence the new and different arithmetic progression is [tex]11, 18, 25[/tex].

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By using the rate of change formula for linear equations, we will see that the statement is true.

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

rate = (y2 - y1)/(x2 - x1)

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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The function represented by the graph has an equation of f(x) = |x - 3| + 5

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

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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g(x) = 7(x+5) + 1 is the newly transformed function

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given that: He graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right

To solve this problem, we need to understand the direction of movement. In the cartesian plane or graph, the x-axis is either a movement to the left(negative) or right(positive)

Since the function f (x) = 7x + 1 translates by 5 units to the right. You need to add 5 to x  i.e. 7(x+5) + 1

Therefore, the newly transformed function, g (x) = 7(x+5) + 1

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Answer:

Step-by-step explanation:

45

Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

Answer:

$1.80

Step-by-step explanation:

Answer:

What you need to do is match with one is a regular, irregular, and or not a polygon.


Each shape has a label like A is a triangle and so on

Put the Label of the shape where it belongs inside the chart

Answer:

If all the sides and interior angles of the polygons are equal, they are known as regular polygons.

C and E are regular polygons.

Irregular polygons are those types of polygons that do not have equal sides and equal angles.

A, B and F are irregular polygons.

3D shapes are irregular polygons.

D is an irregular polygon.

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

140

The numbers that add to -5 and multiply to -4 are -5.7015 and 0.7015.

There are two numbers. The addition of the two numbers is -5. The multiplication of the two numbers is -4. We need to find the two numbers. Let the first number and the second number be represented by the variables x and y, respectively. Then, we can write the two following equations.

x + y = -5

x*y = -4

We will substitute the value of y from the first equation into the second equation.

x*(-5 - x) = -4

x*(x + 5) = 4

x² + 5x - 4 = 0

Now, we will use the quadratic formula.

x = [-5 ± √(5² - 4(1)(-4))]/2(1)

x = [-5 ± √(25 + 16)]/2

x = [-5 ± √41]/2

x = [-5 ± 6.403]/2

The values of x are -5.7015 and 0.7015. The corresponding values of y are 0.7015 and -5.705.

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Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

In the question ,

it is given that

the amount of food that the ocicat eats in 1 day = 3/5 pound

So , the amount of food that the ocicat eats in 1 week = (3/5) × 7 = 21/5

we have to find the number of ocicat that can eat [tex]19\frac{1}{2}[/tex] pound of food feed .

So ,

the number of ocicat that can eat  [tex]19\frac{1}{2}[/tex] pound of food feed = [tex]19\frac{1}{2}[/tex] ÷ 21/5

= (19*2+1)/2 ÷ 21/5

= 39/2 × 5/21

= (39 × 5)/(2 × 21)

= 195/42

= 65/14

= [tex]4\frac{9}{14}[/tex]  ocicats

since the number of ocicats cannot be in fraction ,

so number of ocicats = 4

Therefore , Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

The given question is incomplete , the complete question is

An ocicat eats 3/5 of a pound of food daily. How many whole ocicats can a [tex]19\frac{1}{2}[/tex] -pound bag of food feed for one week?

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Answer:

For x² + kx + 16/9 to be a perfect square, k should be equal to 8/3

Step-by-step explanation:

If x² + kx + 16/9 is a perfect square then it must satisfy the formula of (a + b)² i.e. equal to a² + 2ab + b².

So, first we will form a equal that looks similar to the formula:

[tex] \rm \implies {x}^{2} + kx + \dfrac{4 \times 4}{3 \times 3} \\ \\ \rm \implies {x}^{2} + kx + { \bigg( \dfrac{4}{3} } \bigg)^{2} [/tex]

Now by comparing we get,

[tex] \rm \implies k \cancel{x} = 2 \times \cancel{x}\times \frac{4}{3} \\ \\ \rm \implies k = \dfrac{8}{3} [/tex]

The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

For the given condition,

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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The value of the down payment for the car is $345.

From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.

The value of the down payment will be:

= Down payment percentage × Total cost

= 15% × $2300

= 0.15 × $2300

= $345

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Option B, x = -5 is correct answer, x = -5 is the counter example to the student's conjecture.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality in the question is:

x +5 < x²

We will check each option given I question by putting value of x,

putting x = -1/5

x + 5 < x²

-1/5 + 5 < (-1/5)²

24/5 < 1/25

4.8 < 0.04

This is wrong inequality , Therefore, x is not equal to -1/5

putting x = -5

x + 5 < x²

-5 + 5 < (-5)²

0 < 25

This is satisfying the inequality ,

Therefore, x is equal to -5

Hence, correct answer is x = -5

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Answer: D) 7

Step-by-step explanation:

First put this into an equation as shown

f(x)=10x

The 10 is for the money he makes and the x is the amount of weeks

then take the 35 dollars he already saved and put it into an equation as shown

35+f(7)

the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)

7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.

Hope that helped. It may have been a bit complicated.

Answer:5

Step-by-step explanation:

10x7=70

35+70=105