The statement "a is not more than b" is the same as a > b.
True
False

Answer:

625

Step-by-step explanation:

5⁴ = 5x5x5x5 = 625

Answer:

x=22000 ( bonds)

Step-by-step explanation:

total money invested=26000 , x for bonds and y stocks

x+y=26000 ⇒ x=26000-y

0.05 x + 0.08 y=1420  solve by substitute : x=26000-y

0.05(26000-y)+0.08 y =1420

1300-0.05y+0.08y=1420

0.03y=1420-1300

y=120/0.03

y= 4000 ( the amount invested in stocks)

the amount invested in bonds x= 26000-4000

x=22000 ( bonds)

check :

0.05(22000)+0.08(4000)= 1420 correct

Answer:

e=-2

Step-by-step explanation:

9e-7e=-11+7

2e=-4

e=-2

Answer:

75

Step-by-step explanation:

We have a 90 degree angle and a 15 degree angle that add up to 105. The angle that is missing can be found by doing 180 - 105 = 75 (since it's a straight line). X is vertical from the 75 degree angle, so 75 is your answer.

Answer:

x= 75°

Step-by-step explanation:

i have added a sketch of it

Answer:

Step-by-step explanation:

Answer:

cos(A) = 4/5

Step-by-step explanation:

3sinA+4cosA=5

Divide by 5 on both sides

(3/5)sinA+(4/5)cosA = 1 .................(1)

from which sin(A) = 3/5, cos(A) = 4/5  by inspection, since

(3/5)^2+(4/5)^2 = 1

For more details,

Let

cos(B) = (3/5), then

sin(B) = (4/5)

Substitute in (1)

cos(B)sin(A) + sin(B)cos(A) = 1          substitute trigonometric sum

sin(A+B) = 1  => A & B are complementary

cos(A) = sin(B) = 4/5

Answer:

6,5

Step-by-step explanation:

Answer:

(6,0),(-2,8),(-2,0)

7236 is NOT divisible by 10

Step-by-step explanation:

any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10

Answer:

C. 0.10, because 6 of the 60 days were clear

Step-by-step explanation:

As per the question, you're in San Antonio which indicates 1st look in San Antonio's row.

Then we want the chance or probability it's clear, so look in clear column. We will find the value that is "6"

So 6 on a total of 60 which is the huge total. Accordingly,  Probability it is right, since that you are into the San Antonio. Then it becomes

[tex]= \frac{6}{60}[/tex]

= 0.1

Therefore the right answer is C.

Answer:

[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

Answer:

3438.

Step-by-step explanation:

6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)

= 6³ ÷ 4 + 2 × 9 (256 - 68)

= 6³ ÷ 4 + 2 × 9 × 188

= 216 ÷ 4 + 2 × 9 × 188

= 54 + 2 × 9 × 188

= 54 + 3384

= 3438

3438 is the answer.

Answer:

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

Step-by-step explanation:

[tex](-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}[/tex]

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

y = mx + b

(slope intercept form of a line)

m = slope

b = y-intercept

y = 1/2x + b

Only three options have a slope of 1/2.

y= 1/2x + 3/2

y= 1/2x - 3/2

y= 1/2x - 1/2

The line crosses the point (-3, -3), x = -3 and y = -3.

-3= 1/2(-3) + 3/2

-3= -3/2 + 3/2

-3 = 0

This is false.

-3= 1/2(-3) - 3/2

-3 = -3/2 - 3/2

-3 = -6/2

-3 = -3

This is true.

-3= 1/2(-3) - 1/2

-3 = -3/2 - 1/2

-3 = -2

This is false.

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

Answer:

Martin

Step-by-step explanation:

Calculate their speeds with the formula s = d/t (speed = distance/time)

Calculate Kate's speed:

s = d/t

s = 4.5/1.33

s = 3.375 mph

Calculate Martin's speed:

s = d/t

s = 4.25/1.2

s = 3.541 mph

So, Martin travels more miles per hour

Answer:

8 107/120 (Decimal: 8.891667)

Step-by-step explanation:

12  1 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 −5  13 /72 +1  3 /5 − 1 /36

= 25 /2 − 373 /72 +1  3 /5 − 1 /36

= 527 /72 +1  3 /5 − 1 /36

= 527 /72 + 8/ 5 − 1 /36

= 3211 /360 − 1 /36

= 1067 /120

=8  107 /120

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

Segment addition postulate

Step-by-step explanation:

It’s the Segment addition postulate.

ab+bc=ac

Answer:

Composition and vertical translation must be done in the parent function.

Step-by-step explanation:

Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:

Composition

[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]

Vertical translation

[tex]g(x) = j(4\cdot x) -27[/tex]

Composition and vertical translation must be done in the parent function.

Answer: Option D

Horizontal compression by a factor of 1/4, and a translation 27 units down

Answer:

(D) There are [tex]5 \frac{1}{2}[/tex]  three-fourths in [tex]4 \frac{1}{8}[/tex]

Step-by-step explanation:

We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into  [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is  [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.

So this becomes the division statement:

[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].

We can convert  [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.

[tex]\frac{33}{8} \div \frac{3}{4}[/tex].

Multiply by the reciprocal:

[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]

Which simplifies down to

[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.

Hope this helped!

Answer:

D

Step-by-step explanation:

Answer:

infinitely many solutions / all real numbers

Step-by-step explanation:

distribute the 4 on the left side of the equation

4 • x = 4x

4 • 2 = 8

4x + 8 - 1 = 4x + 7

combine like terms

4x + 7 = 4x + 7

0 = 0

since this expression is true, there are infinitely many solutions

Answer: triangleDEF - 3 units down

triangleGHI - 5 units left

triangleJKL - 4 units left and 5 units down

Step-by-step explanation:

Answer:

A= 17 B= 19

Step-by-step explanation:

Answer:

a) 17 cups water

b) 19 cups rice

Step-by-step explanation:

w = 1.5r + 0.5

For 11 cups of rice, r = 11.

w = 1.5(11) + 0.5

w = 16.5 + 0.5

w = 17

For 11 cups of rice, 17 cups of water are needed.

With 29 cups of water, w = 29.

29 = 1.5r + 0.5

28.5 = 1.5r

r = 19

With 29 cups of water, 19 cups of rice can be cooked.

THIS IS THE COMPLETE QUESTION BELOW;

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet

Answer:

OPTION D is correct

d)6feet

Step by step Explanation:

We were given The price of concrete as $98 per cubic yard

Price= $98 /yrd³

But 1 foot = 12 inches

1 yard = 3 feet

Square both side we have,

Then 1yrd³ = 27 ft³.

So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows

$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³

If we denote the width of the portion as "y"

then the volume of the rectangular portion of the driveway =

= (8 ft) (1/3 ft) x = 8y/3 ft³

But we're given The total cost of the concrete Matt needs as $58.07,

Total cost = $58.07 = (8y/3)(98/27)

y= 5.99957 ft= 6feet

Therefore, the width of the portion of the driveway is 6feet

Answer:

1a) 1/64

1b) 1/169

1c) 1/9

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

Question A,

[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]

Question B,

[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]

Question C,

[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]

Answer:

The answer is option 4.

Step-by-step explanation:

Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :

[tex] \frac{a + 120}{2} = 60[/tex]

[tex]a + 120 = 60 \times 2[/tex]

[tex]a + 120 = 120[/tex]

[tex]a = 120 - 120[/tex]

[tex]a = 0[/tex]

[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]

[tex] \sqrt{a\cdot120}=60 [/tex]

[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]

[tex] \implies a =30 [/tex]

Answer:

4

Step-by-step explanation:

Solving:

Checking:

Answer:

m = 0, P(3)/2, P(4)/6, P(5)/12 ..........

Step-by-step explanation:

For non zero polynomial, that is all real x as follows:

x = 1, 2, 3, 4 ............

Using, P(1 + x) = P(1 - x)

For x = 1: P(2) = P(0) = 1

For x = 2: P(3) = P(-1) = 2

Hence, P(x)/m(x - 1) can be solved as follows:

When = 1

P(2)/0 = 1

∴ m = 0

When x = 2

P(3)/m = 2

∴ m = P(3)/2

When x = 3

P(4)/2m = 3

∴ m = P(4)/6

When x = 4

P(5)/3m =  4

∴ m = P(5)/12

Hence, m = 0, P(3)/2, P(4)/6, P(5)/12......

Answer:

The answer is below

Step-by-step explanation:

Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.

∠FDE = ∠FGE (angles in the same segment).

Also, ∠EFD = ∠EGD (angles in the same segment)

∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD

Adding ∠FED on both sides gives:

∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED

But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)

Therefore ∠FGD + ∠FED = 180°

m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)

Answer:

yes and no

Step-by-step explanation:

if a machine is work a lot lot LOT, then it might be jamed

or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly

( also i am not a student of yours )

Answer:

She had $2.00 left.

Step-by-step explanation:

PEMDAS

$75 - [(3 x $4) + (2 x $20) + $21 ]

$75 - [ $12 + $40 + $21]

$75 - [ $52 + $21]

$75 - $73

$2