Here are the first five terms of an arithmetic sequence
5 8 11 14 17
Find an expression for the nth term of this sequence:
A: 3n+2
B: 5n+3
C: add 3 each times
D: 3n

Answer:

cos 42 = x/20

20*cos 42 = x

x = approximately 14.9 ft

Step-by-step explanation:

hope it helped

Answer:

28/36 shd give u the answer

answer in 1:ur answer

Answer:

90* angle or also called a right angle.

Step-by-step explanation:

Answer:

The answer would be D

Step-by-step explanation:

In order for a problem to be infinite, it must be 0=0. But since this is equal, and can equal 0=0, it would be d

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

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the slope is a positive one.

the equation would be y = x + 1

Answer:

y = x + 1

Step-by-step explanation:

x because the change is x is 1. And the change in y is also 1. 1/1 can be written as x.

The line crosses the y axis on 1, making it the y-intercept.

Answer:

The numerator (a*c) is the product of two integers ( a and c) and the denominator (b*d) is also ( b and d). This is why multiplying rational numbers is like multiplying integers.

Step-by-step explanation:

Answer:

x = -12.57

Step-by-step explanation:

2x + 45 - 56 = 9x + 54 + 23

2x - 11 = 9x + 77

-11 = 7x + 77

-88 = 7x

x = -12.57

Answer: 0.25 pound of beef are needed to make 80 meals.

Step-by-step explanation:

Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.

Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20

= [tex]\dfrac{5}{20}[/tex] pound

[tex]=\dfrac{1}{4} [\text{Divide numerator and denominator}][/tex]

=0.25 pound

Hence, 0.25 pound of beef are needed to make 80 meals.

Answer:

Step-by-step explanation:

For every hour said student would've ran 3.5 km/hr

Answer:

It should be 4. The ratio that AC is equal to DE at should be equal to the ratio of BE to BC. If you want an explanation I'd be happy to add one!

Given:

The equation is:

[tex]y=2x-3[/tex]

The x-values in the given table are -1, 1, 3.

To find:

The y-values for the given x-values in the table.

Solution:

We have,

[tex]y=2x-3[/tex]

At x=-1,

[tex]y=2(-1)-3[/tex]

[tex]y=-2-3[/tex]

[tex]y=-5[/tex]

At x=1,

[tex]y=2(1)-3[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

At x=3,

[tex]y=2(3)-3[/tex]

[tex]y6-3[/tex]

[tex]y=3[/tex]

Therefore the required table is:

x          y

-1        -5

1         -1

3         3

Step-by-step explanation:

15/4 ÷ 5/8

15/4×8/5

3×2

=6

Answer:

6

Step-by-step explanation:

Answer:

It should be 4, 6, and 8

Step-by-step explanation:

Hope This Helped

Answer:

Ok

Step-by-step explanation:

What do you want us to figure out? Did you forget the picture?

Given:

The pair of points.

5. P(1, 1), Q(–1, –1)

6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]

To find:

The distance between the pair of points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

5.

The distance between the pair of points P(1, 1) and Q(–1, –1) is:

[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]PQ=\sqrt{4+4}[/tex]

[tex]PQ=\sqrt{8}[/tex]

[tex]PQ=2\sqrt{2}[/tex]

Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].

6.

The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:

[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]

On further simplification, we get

[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]

[tex]EF=\sqrt{42.8125 }[/tex]

[tex]EF\approx 6.5[/tex]

Therefore, the distance between E and F is 6.5 units.

Answer:

13.1

Step-by-step explanation:.

Answer:

110x3.6 is equal to 396

hope this helps!

Answer:

y = -1/3x - 4

Step-by-step explanation:

m = -1/3

y = -4

Hope this helps! Have a nice day! Plz mark as brainliest!!!

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Answer：

y=-9x+5

Step-by-step explanation:

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Answer: Choice B)

If corresponding angles are not congruent, then the lines are not parallel.

==================================================

Explanation:

The given conditional is in the form "If P, then Q"

where,

The P and Q are placeholders for those definitions shown above. So we'll simply do a "search and replace" to replace P and Q with those phrases. We do this shortening so that we can do logical operations.

Specifically, we'll do two things:

We go from the format "if P, then Q" to "if not Q, then not P". Those two formats are equivalent in truth value. This is known as the contrapositive.

In terms of the problem at hand, the phrase "if not Q, then not P" becomes "If corresponding angles are not congruent, then the lines are not parallel"

-------------

In short, we swap each part of the original "if ..., then ..." statement, and stick "not"s in there to negate each piece.

Option B is correct, if corresponding angles are not congruent then the lines are not parallel.

In mathematics, reasoning involves drawing logical conclusions based on evidence or stated assumptions

The given statement is "If two lines are parallel, then corresponding angles are congruent."

Let us consider p as two lines are parallel,

q as corresponding angles are congruent.

If p is true then q should be true

or else if p is false then q also should be false

if P, then Q" to "if not Q, then not P". Those two formats are equivalent in truth value

This is known as the contrapositive.

"If two lines are parallel, then corresponding angles are congruent." is equivalent to if corresponding angles are not congruent then the lines are not parallel.

Hence, option B is correct, if corresponding angles are not congruent then the lines are not parallel.

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Answer:

19

Step-by-step explanation:

:)

Answer:

30/34 =

Step-by-step explanation:

Answer:

It is given that,

Sin 37° = 0.602

Cos 37° = 0.790

Tan 37° = 0.754

To find:

The length of side LN.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]

Using this in triangle LMN, we get

[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]

[tex]0.602=\dfrac{6}{LN}[/tex]

[tex]0.602LN=6[/tex]

Divide both sides by 0.602.

[tex]LN=\dfrac{6}{0.602}[/tex]

[tex]LN=9.966777[/tex]

[tex]LN\approx 9.97[/tex]

Therefore, the correct option is C.

Answer: 30

Step-by-step explanation:

1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])

[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]

Step-by-step explanation:

so in this case, you use the pythagoras theorem:

since we don't have a hypotenuse, let's name is H

soo it will be

H= 18 squared + 24 squared

H = 324+ 576

H= 900

so you find the square root of 900 which is 30

so, therefore the answer is 30