A garden table and a bench cost $844 combined. The garden table costs $56 less than the bench. What is the cost of the bench?

Answer:

P =33.6 m

A = 70.56 m^2

Step-by-step explanation:

The perimeter of a square is given by

P =4s = 4(8.4) =33.6 m

The area of a square is given by

A = s^2 = (8.4) ^2 =70.56 m^2

Answer:

Perimeter = 8.4×4 = 33.6 meters

Area = 8.4^2 = 70.56 square meters

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

slope :

[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} = \frac{8 - 14}{ - 16 - - 4} = \frac{ - 6}{ - 12} = \frac{1}{2} [/tex] = 0.5

Answer:

1) 3 roots

2) 2 roots

3) 4 roots

Answer:

first one has 3 roots

second one has 2 roots

third one has zero roots

Answer:

Q2 and Q4

Step-by-step explanation:

Trigonometric functions and quadrants:

In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.

In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.

In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.

In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.

Cotangent:

The cotangent is the cosine divided by the sine.

Cotangent negative, which quadrants?

It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.

Answer:

Collage math (hehe) ... Ben is 20

Step-by-step explanation:

Give me Brainiest Answer Award please and thank you! :D

Arithmetic

If Francis is ten years old, then Ben is twenty.

10x2=20

1-B

2-D

3-A

4-B

5-D

6-B

7-C

8-B

9-C

Answer:

1. B

2. D

3. A

4. B

5. D

6. B

7. C

8. B

9. C

Answer:

Sets B and C are subsets of set A

Answer:

Margin of Error decreases

Pvalue decreases

Power increases

Step-by-step explanation:

The margin of error decreases as sample size increases given the same level of confidence, hence, the interval gets narrower.

The margin of error = (Zcritical * σ/√n) ; where, n is the denominator, as the denomination increases, the obtained value will decrease, hence, the margin of error.

When we have a false H0, then we expect a statistical result which will reject H0, with all facts remaining unchanged , increase in sample size n, will lead to decrease in Pvalue, because a lower P value increases the significance of statistical test needed to reject H0.

The power of a fixed level test when the null hypothesis is true, higher power is required to reject the null , increasing n will increase the probability of rejecting H0, by increasing the power of a fixed level test.

Answer:

x = 1

Step-by-step explanation:

Recall: adjacent angles supplementary

Therefore,

65x + 115° = 180°

Subtract 115° from each side

65x + 115° - 115° = 180° - 115°

65x = 65

Divide both sides by 65

65x/65 = 65/65

x = 1

Answer:

3462.8 squared unit

Step-by-step explanation:

Applying,

A = nh²tan(360/n)......... equation 1

Where A = area of the regular polygon, n = number of sides of the polygon, h = length of the apothem.

From the question,

Give; n = 5 sides, h = 15

Substitute these values into equation 1

A = 5×15²×tan(360/5)

A = 1125×tan72

A = 1125×3.078

A = 3462.75

A = 3462.8 squared unit

Answer:

I think the answer to this would be 93.40

Answer:

10.1

Step-by-step explanation:

weighted mean = sum of the multiplication of frequency and value /sum of frequency

sum of frequency  = 5 + 5 + 5 + 21 = 36

sum of the multiplication of frequency and value = (16 x 5) + (20 x 5) +  (16 x 5) + ( 5 x 21) = 365

365/36 = 10.1

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Find the equation of the quadratic function determined from the graph above.

The vertex of the graph of the quadratic function is (2, -3). The graph passes through the point (5, 0). By replacing x and y with 5 and 0, respectively, and h and k with 2 and -3, respectively we have,

[tex]\sf\rightarrow{y=a(x-h)²+k}[/tex]

[tex]\sf\rightarrow{O=a(5-2)²-3}[/tex]

[tex]\sf\rightarrow{0=a(3)²-3}[/tex]

[tex]\sf\rightarrow{3=9a}[/tex]

[tex]\sf\rightarrow{a=\frac{1}{3}}[/tex]

[tex]\sf\rightarrow{y=\frac{1}{3}(x-2)²-3}[/tex]

or,

[tex]\sf{y=\frac{1}{3} \: x²-\frac{4}{3} \: x-\frac{5}{3}}[/tex]

#Hope it helps!

(ノ^_^)ノ

Answer:

y = (x-2)²/3 - 3

Step-by-step explanation:

the vertex is at (2,-3), so the vertex form of the function is

y = A(x-2)²-3

where A is a constant to be found.

We see that when x=5, y=0, so substitute values to find A.

0 = A(5-2)² - 3

solve for A to get

A(3²) = 3

A = 1/3

So the equation is

y = (x-2)²/3 - 3

Check for x = -1

y = (-1-2)²/3 - 3 = 0 checks

Answer:

option D

Step-by-step explanation:

Exterior angle = sum of interior

               105 = 50 + x

               105 - 50 = x

                      55° = x

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

0.1

Step-by-step explanation:

For a density curve, total area = 1

Probability lies in between 0 and 1

The Area of rectangle :

Area = Length * width

Length = 0 - 10 = 10

Area = 1

Hence,

Area = Length * width

1 = 10 * w

1 = 10w

w = 1 /10

w = 0.1

Answer:

Katrina got 86 in her test

Step-by-step explanation:

given

mean = 80

standard deviation = 3

z-score = 2

Let score of Katrina = x

Recall z-score is calculated by

z-score = (x-mean) / standard deviation

substitute values and solve for x

2 = (x-80)/3

x-80=6

x = 86

Answer:

B. Square

Step-by-step explanation:

Answer:

for part b the vertex is (2, 13)

Step-by-step explanation:

no (ice)

Answer:

It could be (2, 13)..

Step-by-step explanation:

Answer:

option c is the correct answer

Answer:

Step-by-step explanation:

2x-x = x

x+4x = 5x

5x is the answer

Answer:

5x

Step-by-step explanation:

2x - x + 4x =

x + 4x =

5x

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

1024x^15

Step-by-step explanation:

First, we'll do 4 to the 5th power which results in 1024

Next, we'll multiply the exponents following the laws of exponents, so 3 times 5=15

This results in 1024x^15

Hope I helped :)

Answer:

[tex]1024 {x}^{15} [/tex]

Step-by-step explanation:

[tex](4 {x}^{3} ) ^{5} \\ {4}^{5} \times {x}^{3 \times 5} \\ 1024 {x}^{15} [/tex]

hope this helps you.

Have a nice day!

Explanation:

The vertex of f(x) is (3,-6)

The vertex of g(x) is (3,-4). We keep the x coordinate the same, but add 2 to the y coordinate. This shifts the vertex 2 units up.

Answer:

Yes, if you didn't eat all 5 of your pizzas young man.

Step-by-step explanation:

Answer:

The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].

Step-by-step explanation:

The vertex of the absolute value function is the point where [tex]|x-3| = 0[/tex]. Hence, the coordinates of the vertex are, respectively:

[tex]x-3 = 0[/tex]

[tex]x = 3[/tex]

[tex]y = |x-3| + 6[/tex]

[tex]y = |3-3|+6[/tex]

[tex]y = |0|+6[/tex]

[tex]y = 0 + 6[/tex]

[tex]y = 6[/tex]

The vertex of [tex]f(x) = |x-3| + 6[/tex] is [tex](x,y) = (3, 6)[/tex].

Answer:

Step-by-step explanation:

y ≈ -2.667x + 4.667

Answer:

Chisquare test

t - test

Correlation

ANOVA, F ratio.

Step-by-step explanation:

The Chisquare test is suitable for testing categorical variables with factors levels more than 3.

The t test of independence is suitable for testing continous variable, however re we use the two independent sample t test.

Correlation test is used to examine the relationship between two continous variable, cannot be used for categorical variables.

Analysis of Variance is use to test categorical variables with at lead three factor levels. The F ratio allows measurement and establishing of statistical significance exists between variables.