Use seven of the digits from 1 to 9 to fill in each unshaded square, so that no digit is repeated, and the totals of the entries in the rows and columns are as shown. What number goes in the starred square?

Answer:

nx∧(-3)

Step-by-step explanation:

Since it contains one term with the variable

Answer:

Step-by-step explanation:

[tex]d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(10-[-4])^{2}+(-8-[-8])^{2}}\\\\ =\sqrt{(10+4)^{2}+(-8+8)^{2}}\\\\\\=\sqrt{(14)^{2}+(0)^{2}}\\\\=\sqrt{14^{2}}\\\\ =14 units[/tex]

Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

Answer:

96

Step-by-step explanation:

Answer:

Container [tex]\rm X[/tex] will have less label area than container [tex]\rm Y[/tex] by about [tex]9\; \rm in[/tex].

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of [tex]h[/tex] and a radius of [tex]r[/tex] at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width [tex]h[/tex] and length [tex]2\,\pi\, r[/tex].

Apply this reasoning to both cylinder [tex]\mathrm{X}[/tex] and [tex]\rm Y[/tex]:

For cylinder [tex]\mathrm{X}[/tex], [tex]h = 6\; \rm in[/tex] while [tex]r = 4.5\; \rm in[/tex]. Therefore, when the lateral side of this cylinder is unrolled:

That corresponds to a lateral surface area of [tex]54\, \pi\; \rm in^2[/tex].

For cylinder [tex]\rm Y[/tex], [tex]h = 10.5\; \rm in[/tex] while [tex]r = 3\; \rm in[/tex]. Similarly, when the lateral side of this cylinder is unrolled:

That corresponds to a lateral surface area of [tex]63\,\pi \; \rm in^2[/tex].

Therefore, the lateral surface area of cylinder [tex]\rm X[/tex] is smaller than that of cylinder [tex]\rm Y[/tex] by [tex]9\,\pi\; \rm in^2[/tex].

Answer:

option 3

Step-by-step explanation:

Given

(6a + b)²

= (6a + b)(6a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

6a(6a + b) + b(6a + b) ← distribute both parenthesis

= 36a² + 6ab + 6ab + b² ← collect like terms

= 36a² + 12ab + b²

Answer:

g - 1

Step-by-step explanation:

g - 2/2

2/2 = 1

g - 1

Answer:

p = 67

Step-by-step explanation:

The polygon has 8 sides.

The sum of the measures of the interior angles is:

180(n - 2) = 180(8 - 2) = 180(6) = 1080

p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080

10p + 410 = 1080

10p = 670

p = 67

Answer:

below

Step-by-step explanation:

Answer:

1) -.91

2) .53

3) .04

Step-by-step explanation:

[tex]sin(24)[/tex] = -.905578362

-.91 rounded to the nearest hundredth

[tex]cos(45)[/tex] = .5253219888

.53 rounded to the nearest hundredth

[tex]tan(88)[/tex]= .0354205013

.04 rounded to the nearest hundredth

Answer:

a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.

b) Sarah passed by her home at 12:45.

c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.

d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

[tex]2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}[/tex]

Step 2: simplifying the coefficients of x:

[tex]2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}[/tex]

Step 3: Adding 1/4 to both sides

[tex]\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\[/tex]

Step 4: Multiplying both sides by 5/7

[tex]\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10[/tex]

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

Answer:

c. step 3

Step-by-step explanation:

Answer:

6≤x>2

Step-by-step explanation:

2x+3(4-x)≤x<2(x+1)    simplify

2x+12-3x≤x<2x+2

first step:

-x+12≤x  

-x+12+x≤x+x

12≤2x , then 12/2 ≤ x

6≤x or x ≥ 6

second step: x<2x+2

x-2x<2x-2x+2

-x<2 when divide by negative the sign flip in this case from less to great than

x>2

6≤x>2

Answer:

$12.90

Step-by-step explanation:

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Answer: 0.35

Step-by-step explanation:

First there is a 50% chance, or a 0.5 chance that Stu gets a sandwich.  Then, ignoring the other .5, there is a .7 chance that he makes the bus.  Thus, 1/2 of .7 is 0.35.

Hope it helps <3

Answer:

1/5

Step-by-step explanation:

Since we have given that

Quantity of orange juice = 30 ml

Quantity of apple juice = 20 ml

Quantity of coconut juice = 50 ml

Total quantity of cocktail = 100 ml

So, the ratio of orange juice to apple juice to coconut juice is given by

=30:20:50

= 3:2:5

Total ratio=3+2+5

=10

So, proportion of the cocktail of apple juice is given by

2/10×100

=1/5×100

=20%

Hence, the proportion of the cocktail is 1/5 apple juice

Answer:

A is the answer.

Step-by-step explanation:

In option A, there are 9 red boxes and 3 blue boxes

If we simlify,

9 : 3 = 3 : 1 = 1 : 1/3

Hope you understand

Answer: Grid A

Step-by-step explanation:

The ratio red:blue is simplified to 1:1/3.

To make things easier, we can expand it so that both sides add up to 12(total number of squares in a grid).

We can multiply both sides by 9.

1 x 9= 9

1/3 x 9= 3

Now the ratio red:blue is 9:3, which adds up to 12.

Grid A is the only grid where there are 9 red squares and 3 blue squares.

Answer:

m<GEC = 17.9 deg

Step-by-step explanation:

First, use the Pythagorean theorem to find the length of GE.

(GE)^2 = (E?)^2 + (?G)^2

I am using ? in place of the front right corner point name that is not visible.

(GE)^2 = 12^2 + 3^2

GE = 12.3693

In triangle EGC, for angle GEC, GE is the adjacent leg, and GC is the opposite leg. We use the tangent.

tan GEC = opp/adj

tan GEC = GC/GE

tan GEC = 4/12.3693

tan GEC = 0.32338

Use inverse tangent to find the angle.

m<GEC = 17.9 deg

The angle ∠GEC of a cuboid will be:

"17.9°"

According to the question,

Three dimensions,

AC = 4 cm

EH = 12 cm

GH = 3 cm

By using Pythagoras theorem,

→ (GE)² = (EH)² + (GH)²

By substituting the values,

           = (12)² + (3)²

           = 144 + 9

           = 153

     GE = √153

           = 12.3693

Now, In ΔEGC

here, Adjacent leg = GE

        Opposite leg = GC

→ tan GEC = [tex]\frac{Opposite}{Adjacent}[/tex]

                 = [tex]\frac{GC}{GE}[/tex]

                 = [tex]\frac{4}{12.3693}[/tex]

                 = 0.32338  

Hence, by using inversing tangent

m∠GEC = 17.9°

Thus the above answer is correct.

Find out more information about Pythagoras theorem here:

https://brainly.com/question/24417148

Answer:

^ DONT LISTEN TO HIM

Step-by-step explanation:

linear - 4.5x + 1.8 and 2x - 6

quadratic - 19x^2 and x^2 - 3x + 4

exponential - 5^x and  0.45^x-1

ur welcome if ur using edge

Answer:

301.6, 188.5

Step-by-step explanation:

to find the volume of the cone is πr[tex]^{2} \frac{h}{3}[/tex]

so π x 6[tex]^{2} \frac{8}{3}[/tex]

=301.59 or 301.6

now to find the curved surface area of the cone is πrl

so π x 6 x 10

=188.49 or 188.5

Answer:

a) 301.6 cm^3.

b)  188.5 cm^2.

Both are correct to the nearest tenth.

Step-by-step explanation:

Volume = 1/3 π r^2 h

= 1/3 * π * 6^2 * 8

= 301.59 cm^3

Area of the curved surface

=  π  L r       where L = the slant height

=  π * 10 * 6

=  188.49 cm^2.

Answer:

A

Step-by-step explanation:

Im not 100% but im sure I did this question

The diagram which correctly represents the statement "If it is a square, then it is a rectangle" is; Figure A.

From set theory;

The statement " if it is A, then it is B" simply can be translated mathematically as A is a subset of B.

In this case, Since the statement is; "If it is a square, then it is a rectangle".

The figure A correctly represents the statement; "If it is a square, then it is a rectangle".

Read more;

https://brainly.com/question/6075184

Answer:

the answer is 8x^2+xy-15y^2

Answer:

slope = -2

y-intercept = 2

equation: y = -2x + 2

Step-by-step explanation:

The equation of a line is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The graph crosses the y-axis at y = 2, so the y-intercept, b, equals 2.

Now we have

y = mx + 2

slope = m = rise/run

We see points (1, 0) and (0, 2) on the graph. Starting at (1, 0), we go up 2 units. That is a rise of 2. Then we go 1 unit left. That is a run of -1.

slope = m = rise/run = 2/(-1) = -2

The slope is -2.

The equation is

y = -2x + 2

Answer:

y=-2x+2

Step-by-step explanation:

Using rise over run the line travels down 2 and right one from one point to another giving u -2/1 or -2 as the slope and it passes through the y-axis at 2 giving you a y-intercept of 2 and the equation y=-2x+2.

Answer:

8 hours

Step-by-step explanation:

In 2 hours, the clerical secretary can do 1/4 of the job. (The executive secretary does 3/4 of the job - or 3 times as much - in the same 2 hours.)

Since it takes the clerical secretary 2 hours to do 1/4 of the job, it will take them four times that to do it themselves. 2x4=8.

Step-by-step explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:

[tex]\frac{x+a}{y+b}\times\frac{x+c}{y+d}[/tex]

[tex]= \frac{(x+a)(x+c)}{(y+b)(y+d)}[/tex]

[tex]=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}[/tex]

To divide by a rational expression, multiply by its reciprocal.  In other words, flip the fraction, then multiply.

For example:

[tex]\frac{x+a}{y+b}\div\frac{x+c}{y+d}[/tex]

[tex]=\frac{x+a}{y+b}\times\frac{y+d}{x+c}[/tex]

[tex]=\frac{(x+a)(y+d)}{(x+c)(y+b)}[/tex]

[tex]=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}[/tex]

Answer:

C

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

Answer:

Step-by-step explanation:

The formula for the area of a sector is

[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where theta is the measure of the central angle (which is the same measure as that of the arc that is intercepted by the 2 radii formig the angle), and r is the radius.

For us, theta is 90 degrees and r is 20. Filling in the formula:

[tex]A=\frac{90}{360}*(3.14)(20)^2[/tex] which simplifies down a bit to

[tex]A=\frac{1256}{4}[/tex] so

A = 314 m squared