Evaluate the expression
-4xy+10, x=2 and y=-5

Answer:

The sum of angles in a quadrilateral is 360°.

  75° +125° +∠T +60° = 360°

  ∠T = 360° -260° = 100°

Step-by-step explanation:

C = 360 - 260 = 100 The answer is definitely 100 for T as well since the figures are similar. Answer 100 = T <<<<<<<

jcherry99 avatar

R = 75 and A therefore is 75. Now you have 3 angles whose value you know: D, A, and B. These three are 60 75 and 125. (125 is the second best answer). D + A + B = 60 + 75 + 125 = 260

jcherry99 avatar

If the figures are similar, then D = 60 and U = 60

jcherry99 avatar

D is on your left and U is on your left.

Step-by-step explanation:

There are 720 ways to arrange the letters in the word GRIFFIN.

To see why, we can use the formula for permutations of a set with n elements, which is n! (n factorial).

The word GRIFFIN has 7 letters, so we have:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

However, since the letters in GRIFFIN are not all unique (there are 2 Fs and 2 Is), we need to divide by the number of ways the repeated letters can be arranged. This is the product of their factorials:

2! x 2! = 4

So the final answer is:

7! / (2! x 2!) = 5040 / 4 = 720

Examples of different arrangements of the letters in GRIFFIN are:

- FIGRINF

- IRGIFNF

- NGRIFFI

- IFRIGNF

- GFRINIF

- NRIGIFF

- FFIRIGN

And so on, for a total of 720 possible arrangements.

Does this answer your question.

The coordinate pairs that can be the end location are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

The student starts at (-6, 10) and walks 4 miles in some direction. Then the end location is any point of the form:

(-6 ± 4, 10)

or

(-6,10 ±4)

Then the 4 possible options are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

So these 4 are the correct options.

Laern more about coordinate pairs at:

https://brainly.com/question/1528681

#SPJ!

To find out the percentage of Tyrone's earnings that he saved, we need to divide the amount he saved by his total earnings and then multiply by 100 to convert the result into a percentage.

The amount that Tyrone saved is $24, and his total earnings are $60.

So,

Percentage of earnings saved = (Amount saved / Total earnings) x 100

= ($24 / $60) x 100

= 0.4 x 100

= 40%

Therefore, Tyrone saved 40% of his earnings by putting aside $24 from the $60 he earned mowing lawns.

Answer:

40%

Step-by-step explanation:

We Know

Tyrone saved $24 of the $60 he earned mowing lawns.

What percent of his earnings did he save?

We Take

(24 ÷ 60) x 100 = 40%

So, he saved 40% of his earning.

The relations between facing and bisected angle in the kite are proven as follows

3. The completed two column tables used to prove the specified relations are presented as follows;

Statement [tex]{}[/tex]                              Reasons

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex]      [tex]{}[/tex]                      1. Given

2. [tex]\overline{CB}[/tex]≅ [tex]\overline{CD}[/tex]    [tex]{}[/tex]                       2. Given

3. Construct [tex]\overline{AC}[/tex]                    3. Euclid's postulate #1

4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex]                           4. Reflexive property

5. ΔABC ≅ ΔADC   [tex]{}[/tex]              5. SSS congruence rule

6. ∠ABC ≅ ∠ADC      [tex]{}[/tex]           6. CPCTC

4. The prove that the diagonals congruent sides bisect the angles.

Statement [tex]{}[/tex]                                Reasons

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex]                             1. Given

2. [tex]\overline{CB}[/tex] ≅ [tex]\overline{CD}[/tex]                           2. Given

3. Construct [tex]\overline{AC}[/tex]                     3. Euclid's postulate #1

4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex]                            4. Reflexive property of congruence

5. ΔABC ≅ ΔADC    [tex]{}[/tex]              5. SSS congruence rule

6. ∠CAB ≅ ∠CAD [tex]{}[/tex]                 6. CPCTC

An angle bisector is a segment that divides an angle to form two angles of the same measure.

The details of the reasons used to prove the specified relations are presented as follows;

Euclid's postulate #1

Euclid's postulate #1 states that a straight line can be drawn from any one point to another point.

Reflexive property

The reflexive property of congruence states that a segment is congruent to itself

SSS congruence rule

The SSS, which is an acronym for Side-Side-Side, congruence rule states that the if three sides on one triangle are congruent to three sides on another triangle, then the two triangles are congruent

CPCTC

The acronym CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Learn more on triangle congruence rules here: https://brainly.com/question/29789999

#SPJ1

In this hypothetical query, the key phrase is:leading word = x3.leading Coefficient is 2,1 is a fixed term.

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x3 + 3x + 1,

This is how the polynomial is written: ax3 + bx + c

In this case, a = leading Coefficient;

leading phrase = x3

Constant phrase =

as a result;

In this hypothetical query, the key phrase is:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

To know more about equation click-
http://brainly.com/question/2972832
#SPJ1

In this hypothetical query, the key phrase is leading word x³.leading Coefficient is 2,1 is a fixed term.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word x³.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x³ + 3x + 1,

This is how the polynomial is written: ax³ + bx + c

In this case, a leading Coefficient;

leading phrase = x³

Constant phrase =

As a result;

In this hypothetical query, the key phrase is:

leading word = x³.

leading Coefficient is 2

1 is a fixed term.

To know more about polynomial click-

https://brainly.com/question/1496352

#SPJ1

Answer:

PQRS is a rhombus with S2 =35° calculate the size of all interior angles

Answer: 25,000

Step-by-step explanation: 10x10x16x16=25,000

Negative correlation.

First of all, let's define the term "correlation" in math functions.

Correlation is a numeric value that expresses how strong the relation is between two variables. It also tells us how one functions affects the other. It can be calculated.

There are three classifications for correlations:

•  Positive correlation. This type of correlation indicates that when a variable increases in value, the other variable follows the same behavior.

•  Negative correlation. This correlation, on the other hand, indicates that when a variable increases, the other variables does the opposite, it decreases.

•  No correlation. This is when one variable has no effect over the other.

Check the attached image to see how these correlations look like in a graph.

On this question we are given a graph with several points on it. As you can tell, the more we move to the right on the "x" axis, the lower the points are. Therefore, as "x" increases, "y" decreases. This is a clear example of a negative correlation graph.

The number of animals there are in the corral is 1020.

We are given that Number of chicken=510

This is a word problem that can be solved by using fractions and proportions.

Let x be the total number of animals in the corral. Then, according to the problem, we have:

x/2 = 510 (half are chickens) x/5 = ? (a fifth are ducks) x/9 = ? (a ninth are turkeys)

To find the total number of animals, we need to find a common denominator for the fractions and add them up. The least common multiple of 2, 5, and 9 is 90, so we multiply each fraction by 90 to get:

45x/90 = 45 * 510 (half are chickens) 18x/90 = ? (a fifth are ducks) 10x/90 = ? (a ninth are turkeys)

Adding up the fractions, we get:

(45x + 18x + 10x)/90 = 73x/90

This is the fraction of animals that are chickens, ducks, or turkeys. To find the total number of animals, we need to divide both sides by 73/90, which is equivalent to multiplying by 90/73. We get:

x = (73x/90) * (90/73) x = x

Therefore, the total number of animals in the corral is x.

To find the value of x, we can use the equation x/2 = 510 and solve for x. We get:

x/2 = 510 x = 510 * 2 x = 1020

Therefore, by unitary method the answer will be 1020.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

The complete question is;

Of the animals in a corral, half are chickens, a fifth are ducks, a ninth are turkeys, and 510 are chickens. How many animals are there in the corral?

Answer: 7,210,000

Step-by-step explanation:

The missing angle is approximately 67 degrees. To find it, we used the fact that the sum of the angles in a triangle is 180 degrees and calculated the angle opposite the base using inverse tangent.

An angle is the measure of the space between two intersecting lines, rays, or line segments, given in degrees or radians, often denoted by the symbol θ.

Tangent is a trigonometric function that relates the ratio of two sides of a right triangle: the length of the opposite side over the length of the adjacent side of a given angle.

According to the given information:

The angle theta is the angle between the hypotenuse and the base of a right triangle. We can use the formula for the tangent of an angle to find theta:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the triangle (9), and the adjacent side is the base of the triangle (21). So:

tan(θ) = 9/21

tan(θ) = 0.42857...

Using the inverse tangent function ([tex]tan^{-1}[/tex]) on both sides:

θ = [tex]tan^{-1(0.42857...)}[/tex]

θ = 23.8171...

Rounding to the nearest degree gives us an odd number:

θ6 ≈ 23 degrees

Now, to find the missing angle, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that one angle is 90 degrees (it's a right triangle), and we just found the angle opposite the base (theta). So:

180 - 90 - θ = missing angle

180 - 90 - 23 ≈ 67

Therefore, the missing angle is approximately 67 degrees.

To know more about angle and tangent visit:

https://brainly.com/question/10053881

#SPJ1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3}x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is -3 and it passes through (-2 , 5)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-2)}) \implies y -5 = - 3 ( x +2) \\\\\\ y-5=-3x-6\implies {\Large \begin{array}{llll} y=-3x-1 \end{array}}[/tex]

The time(s) that the projectile to reach a height of 80 ft is 3.5 s and time to return to the ground is 1.5 seconds.

The equation of motion of the projectile is given as;

s = -16t² + v₀t

where;

when the height reached = 80 ft, the time of motion is calculated as;

-80 = -16t² + 32t

16t² - 32t - 80 = 0

t = 3.5 seconds or t = -1.5 seconds

Based on the negative sing, we can conclude that the time to return to the ground is 1.5 seconds.

Learn more about time of motion here: https://brainly.com/question/2364404

#SPJ1

Answer: The following formula determines the total number of infected people after t days:

500,000 / (1 + 499e^(-1.617t))

We can enter t = 4 into the algorithm to determine the total number of affected 4 days after the outbreak and then assess:

Step-by-step explanation:

500,000 / (1 + 499e^(-1.617(4))) = 500,000 / (1 + 499e^(-6.468))

= 500,000 / (1 + 499(0.00155))

= 500,000 / (1 + 0.77445)

= 500,000 / 1.77445

When this is rounded to the closest whole number, we obtain:

281,580

Therefore, four days after the outbreak, about 281,580 people will be infected.

The sigma notation of the sum for this problem has the parameters given as follows:

To write the sigma notation for the sum in this problem, we must identify the pattern in the sum.

We have that in each term, a numerator of 1 is divided by the index n multiplied by one plus the index, hence the parameter B is given as follows:

B = 1/[n(n + 1)]

The last terms are 117 and 118, meaning that n = 117, hence the parameter A, representing the upper end of the sum, is given as follows:

A = 117.

More can be learned about sigma notation at https://brainly.com/question/15973233

#SPJ1

Answer:

your insurance will pay $165,000 for the damages to your home. You will have to pay the remaining $5,000 as your deductible.

Step-by-step explanation:

The amount that the person get after he home suffers $170,000 in damages is $-130000.

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

[tex]150\times12=1800[/tex]

The home suffers $170,000 in damages and the deductible is of $5000. Thus, the amount remain is,

[tex]\text{A}=170000-5000[/tex]

[tex]\text{A}=165000[/tex]

The limit of the policy is $300000. Thus, the amount will be remained as,

[tex]\text{A}=165000-300000[/tex]

[tex]\text{A}=-135000[/tex]

If we include the deductible amount, then,

[tex]\text{A}=-135000+5000[/tex]

[tex]\text{A}=-130000[/tex]

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $170,000 in damages is $-130000.

Learn more about the deductible amount here:

brainly.com/question/5306277

Answer:

(4/x) - 1 is the way to represent this equation.

Answer:

Give that the volume of the cylinder is 90cm³, the volume of the cone is (1/3)*90cm³ =30cm³

The value {( p ∧ q¹ )  → r¹ } is said to be a form of  expression that is  seen as a logical formula and it is then written in propositional logic made up of logical operators.

The logical operators are seen as  "and" (∧), "not" and  (→).

Note that the terms:

Therefore, the full formula {( p ∧ q¹ ) → r¹ } can then be said to be or read as "if (p and not q) is true, then not r is said to be true".

Learn more about logical operators from

https://brainly.com/question/13382096

#SPJ1

See text below

{( p ∧ q¹ )  → r¹ }

Answer:

[tex]14000( {1.07}^{7} ) = 22480.94[/tex]

$22,480.94 > $20,400, so accepting the $14,000 prize now would be more profitable in 7 years.

(a) The Null Hypothesis (H₀): The proportion of mall shoppers in my market category who would buy a subscription is greater than or equal to the proportion in Rachel's market category (P₂). Conversely, Alternatvie Hypothesis H₁ insinuates that this proportion is less.

(b) In order to evaluate the legitimacy of these speculations; we have decided to employ the z-test statistic.  

(c) In order to determine the test statistic: we will use the formula:

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

where p = (x₁ + x₂) / (n₁ + n₂), where x₁ and x₂ denote the number of successes (or people who said they would purchase a subscription) in each sample, whereas n₁ and n₂ represent the sample sizes, respectively.

According to our data, we received the following: x₁ = 19, n₁ = 99, x₂ = 24, and n₂ = 107. Taking into consideration the aforementioned variables, we obtained p₁= 0.191, p₂= 0.224, and    P = 0.208 for the equation above. Therefore,  

z= (0.191 - 0.224)/√(0.208(1-0.208)(1/99+1/107)) ≈ -1.238

(rounded to three decimal places).

(d) For the single tailed test at 0.01 level of significance, the critical value generated by the z-test was -2.33.

(e) As a result of the calculated test statistic(-1.238) being greater than the produced critical value (-2.33); we cannot refute the null hypothesis. In other words, with an alpha of 0.01, we cannot conclude that the ratio of mall buyers in my market sector wanting to buy a subscription is less than that of the ones from Rachel's.

Learn more about hypothesis on

https://brainly.com/question/606806

#SPJ1

The total number of cups for sugar, juice and fruits are:

5cups of sugar

10 cups of juice

20 of fruits

To adjust the recipe for 30 servings, Joey needs to use proportional reasoning. If the original recipe serves 6, and Joey wants to make 30 servings, he needs to multiply the amount of each ingredient by 5.

Let's say the original recipe requires 1 cup of sugar, 2 cups of juice, and 4 cups of fruit. To find the total amount of each ingredient needed for 30 servings, we need to multiply each ingredient by 5:

1 cup of sugar x 5 = 5 cups of sugar

2 cups of juice x 5 = 10 cups of juice

4 cups of fruit x 5 = 20 cups of fruit

Therefore, Joey needs 5 cups of sugar, 10 cups of juice, and 20 cups of fruit to make fruit salad for 30 servings.

Let's  verify the calculations, we can use the ratio of the ingredients to the total number of servings:

1 cup of sugar : 2 cups of juice : 4 cups of fruit

For 6 servings, the ratio is:

1 cup of sugar x 1 : 2 cups of juice x 1 : 4 cups of fruit x 1 = 1:2:4

For 30 servings, the ratio becomes:

1 cup of sugar x 5 : 2 cups of juice x 5 : 4 cups of fruit x 5 = 5:10:20

Thus, we can see that the ratio is still the same, indicating that the adjusted recipe is correct.

Read more about Algebra Word Problems at: https://brainly.com/question/21405634

#SPJ1

The missing step is −5x > −28. This is obtained by adding 14 to both sides of the inequality. Then, to get x < −2, we divide both sides by −5 and reverse the direction of the inequality sign.

Answer:

a)  112 cm

b)  4480 cm²

Step-by-step explanation:

Given:

The diameter of a circle is twice its radius. Therefore, the radius of the circle is:

[tex]\implies r=\dfrac{d}{2}=\dfrac{160}{2}=80\; \sf cm[/tex]

To find the length of the arc that subtends the given central angle θ on a circle of diameter d, use the arc length formula.

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $=r \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}[/tex]

Substitute the values into the formula:

[tex]\begin{aligned}\implies \sf Arc\; length&=r \theta\\&=80 \cdot 1.4\\&=112\; \sf cm\end{aligned}[/tex]

Therefore, the length of the arc that subtends the given central angle θ on a circle of diameter d is 112 cm.

To calculate the area of the sector determined by θ, we can use the area of a sector formula.

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\dfrac12 r^2 \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}[/tex]

Substitute the values into the formula:

[tex]\begin{aligned}\implies \sf Area\;of\;a\;sector&=\dfrac{1}{2}r^2\theta\\\\&=\dfrac{1}{2} \cdot 80^2 \cdot 1.4\\\\&=\dfrac{1}{2} \cdot 6400 \cdot 1.4\\\\&=3200 \cdot 1.4\\\\&=4480\; \sf cm^2\end{aligned}[/tex]

Therefore, the area of the sector determined by θ is 4480 cm².

Therefore, the remainder when P(x) is divided by x - 5 is 3128.

The algebraic Remainder Theorem asserts that when a polynomial P(x) is divided by x-a, the division's remainder equals P(a). In other words, we can replace a for x in the polynomial and evaluate it if we have a polynomial P(x) and we want to know the remainder after it is divided by x-a. The remainder of the division will be the value.

Here,

So to find the remainder when P(x) is divided by x - 5, we need to evaluate P(5).

P(x) = 5x⁴ + 5x³ - 2x² - 5x + 3

P(5) = 5(5)⁴ + 5(5)³ - 2(5)² - 5(5) + 3

P(5) = 3128

To know more about Remainder Theorem,

https://brainly.com/question/13264870

#SPJ1