Is 7.65 greater or less than 7.7

Answer: 97. -10<n<8

99. g>=7 or g<0

101. x<5 or x>=6

Step-by-step explanation:

97. -1<9+n<17

-1-9<9-9+n<17-9

-(1+9)<n<17-9

-10<n<8

99. g+5>=12

g+5-5>=12-5

g>=7

g/9 < 0

g<0

g>=7 or g<0

101.

2x<10

x<5

x/2 >=3

x>=6

x<5 or x>=6

Answer:

Hello,

Step-by-step explanation:

[tex]1) \ 4,7,10,13,16,....\\u_n=4+(n-1)*3=1+3n\\\\2)\ -10,-6,-2,2,6....\\u_n=-10+(n-1)*4=-14+4n\\\\3)\ \frac{6}{3} ,\frac{7}{3} ,\frac{8}{3} ,\frac{9}{3} ,\frac{10}{3} ...\\\\u_n=\frac{6}{3} +(n-1)*\frac{1}{3} =\frac{5}{3} +\frac{n}{3} \\[/tex]

The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

Given that a Quadratic equation whose roots are -6 and -1 with leading coefficient is 1 and asked to find the equation of quadratic equation.

Quadratic equation:

The polynomial equations of degree two in one variable of form f(x) = a[tex]x^{2}[/tex] + bx + c = 0 and with a, b, c, ∈ R and a ≠0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).

For a quadratic equation if (a,b) are roots then,

(x-a)(x-b) is the quadratic equation having roots "a" and "b"

The equation with roots -6 and -1 is
⇒(x+6)(x+1)

⇒[tex]x^{2}[/tex]+7x+6

Threfore,The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

Learn more about quadratic equation here:

https://brainly.com/question/17177510

#SPJ9

Answer:

x = 18

Step-by-step explanation:

x/6  - 7 = -4

x/6 = -4 + 7

x/6 = 3

x = 6*3

x = 18

Check:

18/6  - 7 = -4

3 - 7 = -4

Answer i dont get it

Step-by-step explanation:

Answer:

The tree is 30 feet

Step-by-step explanation:

Set up a proportion

[tex]\frac{height}{shadow}[/tex] = [tex]\frac{height}{shadow}[/tex]  Fill in what you know

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{7}[/tex]  Cross multiply

7x = 210  Divide both sides by 7

x = 30

According to the formula speed = distance / time The rate in miles per hour is 4.54

If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.

Rachel jogs 20 feet in 3 seconds

then by the formula

speed = distance/time

speed = 20 feet / 3 seconds

speed = 6.666667 feet per hour

but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,

speed = 6.66667*0.681818

speed = 4.5454 miles per hour

Read more about Speed = distance/time here:

https://brainly.com/question/23774048

#SPJ4

Answer:

Option A on edge

Step-by-step explanation:

Its point W.

The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)

The standard linear equation is expressed as y = mx + b where;

m is the slope

b is the y-intercept

Given the linear equation (y-1) = 3(x+3)

Expand

y-1 = 3x + 3

y-3x = 3 + 1

y-3x = 4

y = 3x + 4

The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)

Learn more on linear equation here: https://brainly.com/question/2030026

#SPJ1

Answer: U'=(8, 5)

V'=(7, 5)

W'=(6, 10)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.

U=(-8, -5) ==> U'=(8, 5)

V=(-7, -5) ==> V'=(7, 5)

U=(-6, -10) ==> W'=(6, 10)

Answer:

Interest = $63

Balance = $2,063

Step-by-step explanation:

Compound Interest Formula

[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]

[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]

[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]

[tex]\implies \sf I=9063-9000[/tex]

[tex]\implies \sf I=63[/tex]

Therefore, the account earns $63 interest in the first six months.

The balance after six months is $2,063.

The order of set of numbers {-415%, -√17, -4.1, -4.08} from least to greatest is {-415% < -√17 < -4.1 < -4.08}

Order of set of numbers:

Numerical order is a way of arranging a group of numbers into a sequence. This could be ascending or descending.

When we arrange numbers in ascending order, we arrange them from small to big, and when we arrange numbers from big to small, it is called descending order.

Given,

=> {-415%, -√17, -4.1, -4.08}

Here we need to convert the numbers into decimal for to arrange it,

First, we have to convert the value -415% into decimal,

=> -415%

=> -415/100

=> -4.15

Next, √17 is equal to,

=> -√17

=> -4.12

How we have to arrange them in order,

=> { -4.15< -4.12 < -4.1 < -4.08}

Which is equal to,

=> {-415% < -√17 < -4.1 < -4.08}

To know more about Ordering of numbers here.

https://brainly.com/question/889443

#SPJ1

Answer:

18 cm Is the Answer To your Question

Answer:

1 < x < 7

Step-by-step explanation:

Hello!

There are two cases for this equation:

Solve for x in each case.

The solution set is 1 < x < 7.

Answer:

Hello!

for 11 we can put in values

x = 0

y = 12 * 0^2

y=0

One point is (0,0)

x=1

y=12*1^2

y=12

Another point is (1,12)

x=-1

y = 12 * -1^2

y=12

A third point is (-1,12)

This tells us that this is not exponential since an exponential function as a steep curve on one side not two.

You can think of an exponential function as a half parabola if it helps.

13. We can plug in numbers again here.

x=0

y=7(0)+3

y=3

So the first point is (0,3)

x=1

y=7(1)+3

y=10

The second point is (1,10)

x=-1

y=7(-1)+3

y=-4

so the third point is (-1,-4)

This shows that the graph is not exponential it is linear since it goes in a straight line.

15. We just plug in -2 for t so

g(-2) = 2*0.4^-2

0.4^2 is 0.16 * 2 is 0.32 which is the answer

17. We can put 18 for w

h(18) = -0.5*4^18

This is where there is a issue because 4^18 is a extremely small number (6.9 * in scientific notation-

But we can multiply that by -0.5 to get

-3.4 *

which I believe is -0.000000034

Step-by-step explanation:

Answer:

×7

Step-by-step explanation:

[tex]84 \div 12 = 7[/tex]

Step-by-step explanation:

that means that there is one scale factor for all sides of the triangles.

so,

2 × f = 14

f = 14/2 = 7

and to control, this has to work also for the other given side :

3 × 7 = 21

correct.

so, the scaling factor to get from E to F is 7.

Answer:

y=x+3

Step-by-step explanation:

Answer:

ano yan ang tanong mo

Step-by-step explanation:

ano yan

Answer:

1) [tex]|x-2| = 8[/tex]

2) [tex]|x+7.5|=2.5[/tex]

Step-by-step explanation:

The Sum of the given numbers is 30.80.

SUM:

Rounding off to nearest tenth = 7 + 1 = 30.80

Therefore, the Sum of the given numbers is 30.80.

Know more about the sum of numbers here:

https://brainly.com/question/5982761

#SPJ9

Using the fact that both triangles are similar, we will conclude that the measure of angle B is 59°.

First, two figures are similar if the figures have the same shape, then the interior angles are all the same in both figures.

Here we know that the two triangles are similar and thus, the internal correspondent angles of the two triangles are equal in measure.

First, there is a common vertex at C, so the angle there is the same for both triangles. We also can see that angles A and D have the same measure, then the angles B and b will also have the same measure.

And we know that the measure of angle b is 59°, then we can conclude that the measure of angle B will also be 59°, so the correct option is the first one.

If you want to learn more about similar figures:

https://brainly.com/question/25605883

#SPJ1

Answer:

angle 1 = 51

angle 2 = 39

Step-by-step explanation:

The sum of two angles is equal to 90° since they are complementary angles

angle 1 + angle 2 = 90° rewrite equation using given values

x + 38 + 3x = 90 add like terms

4x + 38 = 90 subtract 38 from both sides

4x = 52 divide both sides by 4

x = 13 now to find the measure of each angle replace x with 13

angle 1 = 51

angle 2 = 39

Answer:

3w - 4 1/2

Step-by-step explanation:

6(1/2w- 3/4)

distributing gives you

6/2w- 18/4

simplifying it gives you

3w-4 1/2

The value of a based on the information is 4.

It should be noted that b = 5.5

It should be noted that e = 10

There are three alphabets in between them. This means the difference will be:

= (10 - 5.5)/3

= 4.5/3

= 1.5

Therefore, the value of a will be:

= 5.5 - 1.5

= 4

The value of a is 4.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

The value of a based on the information is 4.

How to calculate the value?

It should be noted that b = 5.5

It should be noted that e = 10

There are three alphabets in between them. This means the difference will be:

= (10 - 5.5)/3

= 4.5/3

= 1.5

Therefore, the value of a will be:

= 5.5 - 1.5

= 4

The value of a is 4.

Answer:

Step-by-step explanation:

[tex]m[/tex]∠[tex]CAD[/tex]≅[tex]m[/tex]∠[tex]BAD[/tex]

and

[tex]m[/tex]∠[tex]CAB[/tex]=[tex]m[/tex]∠[tex]CAD[/tex]+[tex]m[/tex]∠[tex]BAD[/tex]

so

[tex]m[/tex]∠[tex]CAB[/tex][tex]= 29[/tex]°+[tex]29[/tex]°

[tex]m[/tex]∠[tex]CAB=58[/tex]°


Hope this helps!

Step-by-step explanation:

the graphic shows that the angle at A is split in half by the line AD (because the angles at both sides of the line are marked as equal, so the whole angle must be 2 times of one of these parts).

so, as CAD = 29°, CAB = 2×CAD = 2×29 = 58°

Answer:

43xgfsstib dhibfdhbkfvh

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).

A proportion refers to the fraction of the total amount, and the measures are related using a rule of three.

The midpoint of a segment refer to the mean of the coordinates of the endpoints, so we get that:

3.5 = (x + 8) / 2

x + 8 = 7

x = 7 - 8

x = - 1

-1 = (y + 5) / 2

y + 5 = -2

y = -2 - 5

y = - 7.

End point =- (-1, -7)

Therefore, using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).

Learn more about proportions here:

brainly.com/question/24372153

#SPJ9

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Answer: -18 ==> C

Step-by-step explanation:

x = −3 and y = −6

3x + 4y + 15=

3(-3) + 4(-6) + 15=

-9 + (-24) + 15 =

-9-24+15=

-(9+24)+15=

-33+15=

-(33-15)=-18 ==> C

Answer:

c) -18

Step-by-step explanation:

Given that,

→ x = -3

→ y = -6

Let's solve the problem,

→ 3x + 4y + 15

→ (3 × -3) + (4 × -6) + 15

→ -9 - 24 + 15 = -18

Thus, the solution is -18.