Solve the equation −7t−1=20

Answer:

see below

Step-by-step explanation:

sqrt(32)

    32

4  *   8

2*2     2*4

         2  * 2*2

Taking pairs

2*2  2*2*2

2 * 2 with one 2 left over

2*2* sqrt(2)

4 sqrt(2)

Woodrow took a group of 3 instead of pairs when taking square roots

Answer:

1/2, 3

Step-by-step explanation:

Rearrange the equation into y = mx + b form, where m is the slope and b is the y intercept:

-x + 2y = 6

2y = x + 6

y = 1/2x + 3

So, 1/2 is the slope and 3 is the y intercept.

The correct answer is 1/2, 3

Answer:

17 =x

Step-by-step explanation:

The angles are vertical angles, so they are equal

51 = 3x

Divide each side by 3

51/3 = 3x/3

17 =x

Answer:

C) 17

Step-by-step explanation:

Since the angle needed to be 51˚ we need to figure out which number that multiplies by 3 will get to 51˚ so 17 is the answer

17 times 3 is 51˚

Answer:

21.2

Step-by-step explanation:

V =

[tex]\pi {r}^{2} h[/tex]

=

[tex]\pi \: ( {1.5}^{2} )(3)[/tex]

=21.21

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2[/tex]=13/hypotenuse

hypotenuse=13/[tex]\sqrt{2[/tex]

A a= 14

E b = 14

These are the 2 correct answers

Answer:

x = 8

[tex]x=1\frac{2}{3}[/tex]

Step-by-step explanation:

0 = (x - 8)(3x - 5)

(x - 8)(3x - 5) = 0

x(3x - 5) - 8(3x - 5) = 0

3x² - 5x - 8(3x - 5) = 0

3x² - 5x - 24x + 40 = 0

3x² - 29x + 40 = 0

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

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

3x² - 29x + 40 = 0

a = 3

b = - 29

c = 40

[tex]x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{841-480} }{2(3)}[/tex]

[tex]x=\frac{29±\sqrt{361} }{2(3)}[/tex]

[tex]x=\frac{29±19 }{2(3)}[/tex]

[tex]x=\frac{29±19 }{6}[/tex]

Two separate equations

[tex]x=\frac{29+19 }{6}[/tex]

[tex]x=\frac{48 }{6}[/tex]

x = 8

[tex]x=\frac{29-19 }{6}[/tex]

[tex]x=\frac{10 }{6}[/tex]

[tex]x=\frac{5 }{3}[/tex]

[tex]x=1\frac{2}{3}[/tex]

Answer:

P(x<=5) = 0.6164

Step-by-step explanation:

The probability of getting a four in general throw = 1/6

Probability of getting 4,  5 times in a throw of 30 roll of cubes

= (1/6) ^5

                                                                             X P(X)

P ( X = 0) C (30,0) * 0.167^0 * ( 1 - 0.167)^30= 0 0.0042

P ( X = 1) = C (30,1) * 0.167^1 * ( 1 - 0.167)^29= 1 0.0253

P ( X = 2) = C (30,2) * 0.167^2 * ( 1 - 0.167)^28= 2 0.0733

P ( X = 3) = C (30,3) * 0.167^3 * ( 1 - 0.167)^27= 3 0.1368

P ( X = 4) = C (30,4) * 0.167^4 * ( 1 - 0.167)^26= 4 0.1847

P ( X = 5) = C (30,5) * 0.167^5 * ( 1 - 0.167)^25= 5 0.1921

P(x<=5) = 0.6164

Step-by-step explanation:

porportional means they scale by the same ratio

L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x

solve for x

Answer:

Not sure but heres the proportional factor.

Step-by-step explanation:

The image is blurry and is hard to make out what the number for width is. However you can find the proportionality factor between the phones by dividing the large phone height by the small phone height. So 6.21in/5.4in, you get 1.15in, this means that the larger phone is 1.15in bigger than the smaller phone. Apply this number to the width and you will find the width of the larger phone since both phones are proportional. So you do width × 1.15 to get the width of the larger phone.

Answer:

3 is the common difference

The next term in the sequence would be 5

Answer:

:)

Step-by-step explanation:

[tex]-10, -7, -4, -1, 2, 5,[/tex]

Common difference = +3

Next term = 2 + 3 = 5

Answer:

x = 8

Step-by-step explanation:

To get x, we will use the pythagoras theorem;

10² = x² + (12/2)²

100 = x² + 6²

100 = x² + 36

100 - 36 = x²

64 = x²

Swap

x² = 64

x =√64

x = 8

Hence the value of x is 8

Answer:

x = 4

y = 9

Step-by-step explanation:

It is given that figure (NPQR) is a square. One property of a square is that all sides of a square are congruent. This property also applies to the given square, thus one can make the following statement;

PQ = NR

Substitute,

10y - 29 = 5y + 16

Inverse operations,

10y - 29 = 5y + 16

-5y           -5y

5y - 29 = 16

    +29   +29

5y = 45

/5     /5

y = 9

Another property of a square is that all of the interior angles of a square have a measure of (90) degrees. Moreover, the diagonals (segment connect non-adjacent vertices) bisect these angles. Thus, twice the measure of an angle formed between a side and a diagonal forms a (90) degree angle. Therefore, one can draw the following conclusion;

2(m<QPR) = 90

Substitute,

2(6x + 21) = 90

Simplify,

12x + 42 = 90

Inverse operations,

12x + 42 = 90

        -42  -42

12x = 48

/12     /12

x = 4

Answer:

The slope is -7 and the y intercept is 8

Step-by-step explanation:

g(x) = -7x + 8

This is in the form y = mx +b where m is the slope and b is the y intercept

The slope is -7 and the y intercept is 8

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. if you need a video Explanation https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

[tex]\\ \rm\Rrightarrow M(x,y)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-5-16}{7},\dfrac{40-12}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow\left(\dfrac{-21}{7},\dfrac{28}{7}\right)[/tex]

[tex]\\ \rm\Rrightarrow(-3,4)[/tex]

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

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

Answer:

Step-by-step explanation:

Answer:

A is 1/2 and the answer for B is 2/3

Answer:

180

Step-by-step explanation:

See the image below:)

Answer:

a = 19

If the rate of change is -8, everytime you do up for x you will minus 8. For example, x = 10 so y = 27 ; x=11 so y = 27-8 = 19 ; x = 12 so y = 19-8 = 11.

Therefore, when x is 11; y is 19

Answer:

jssisvshdvdbd sjjsjdgdjd

Step-by-step explanation:

ususueuwgeieyevekeuecrjie r

Answer:

27 m

Step-by-step explanation:

We know that ABC = 42 degrees

and side length BC = 24m

tan42 = 24m/a

a = 24/tan42

a = 26.65m

round to nearest whole number

= 27 m

Answer:

12 or 16 m

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i don't see options to select from but my guess would be 8 because 7/8 is very close to being one and 8 1/10 is close to 8;  8 x 1 = 8

Answer:

D

Step-by-step explanation:

Answer:

30x + 5 < 120

30x < 20 - 5

30x < 15

x < 0.5

4x - 9 > 90

4x > 90+9

4x > 99

x = 24.75

28x + 4 < 140

28x < 140-4

28x < 136

x = 4/6/7

HOPE IT HELPS!!

Answer:

Not defined

Step-by-step explanation:

An educated guess:)

Answer:

-207

Step-by-step explanation:

assume the answer is x

x=15*-16*-23*-1

=-240+23

=-207

answer:

−5520x³

step by step explanation:

15 x ( − 16 ) x ( − 23 ) x ( − 1 )

= 15 * x * ( − 16 ) * x * ( − 23 ) * x * ( − 1 )

= − 5520 * x³

= − 5520x³

Answer:

[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]