Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2​

Answer:

what is that for

Step-by-step explanation:

what was that

what about using 20-30-40-5

Step-by-step explanation:

the sequence is that you are skipping ten to get the second nb which is 30 and keep on going on to get 50

Answer: Round 39 to the nearest 10 is 40

Step-by-step explanation:

Answer:

H is same as h which means height if cone or perpendicular drawn from tip of cone to the base plane !

Hope this helps

32°

___________________

180-116= 64

½×64=32°

Answer:

The answer is, [tex]32^{0}[/tex]

Step-by-step explanation:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle (the centre). A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

=[tex]180-116\\64[/tex]

=[tex]1/2[/tex]×[tex]64[/tex]

=[tex]64/2\\32^{0}[/tex]

The angle TUV are  [tex]32^{0}[/tex].

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Answer:

o(-2,-1)

Step-by-step explanation:

Let point A be initial point and A' be terminal point.

A(-7,3), A'(x,y) and V=(5,-4)

V=(Xf-Xi,Yf-Yi)

(5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

5=x+7. -4=y-3

5-7=x. -4+3=y

x=-2. y=-1

A'=(-2,-1)

The coordinates of A'(-2, -1).

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.

Given:

point A(-7, 3)

and vector, V =(5, -4).

So, V=([tex]X_f-X_i,Y_f-Y_i[/tex])

Where X(final) = ?, Y(Final)= ?

So, (5,-4)=(x-(-7),y-3)

(5,-4)=(x+7,y-3)

On comparing the coordinates

5=x+7  and -4=y-3

x= 2 and y = -1

Hence, the coordinates of A'(-2, -1)

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Answer:

21mm

Step-by-step explanation:

Area = 336mm²

Height = 16mm

Base = ?

Area = Base × Height (Substitute numbers into the known variable)

336mm² = Base × 16mm ( Find the base,so divide

16mm on both sides)

Base = 336mm² ÷ 16mm

= 21mm

Answer:

C) $75 per deposit

Step-by-step explanation:

Each square is 25 dollars, hence 4 squares making 100 dollars.

Each they make a deposit 3 squares move up

Making it $75

Answer:

60.3°

Step-by-step explanation:

tanx(7/4)

since x is missing then its gonna be like this

[tex]tan^{-1}= \frac{7}{4}[/tex]

x= 60.260 round it if u want, my teacher said to round it to the tens place when finding the missing angle

Answer:

I think x - x = 0

FILLER FILLER

Answer:

Step-by-step explanation:

the instruction say put it in this form Ax +Bx = C  , but i'm sure they were meant to say this  Ax +By = C     note the  X and Y differences.  I'll use the latter form, b/c that's the  "standard" form

find the slope:

m = -11 - (-5) / -10-5

m = -11 + 5 / -15

m = -6 / -15

m = 2/5

y-(-5) = 2/5(x-5)

y + 5 = 2x/5 -2

y = [tex]\frac{2}{5}[/tex] x - 7

- [tex]\frac{2}{5}[/tex] x +y = -7

There you go, the right answer   :P

Answer:

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Step-by-step explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in             equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270

Answer:

Cost of 17 oz smoothies = $5.95

Step-by-step explanation:

Given:

Amount of smoothies Mrs. Oswalt buy = 20 oz

Cost of 20 oz smoothies = $7

Amount of smoothies Ms. Munguia buy = 17 oz

Find;

Cost of 17 oz smoothies

Computation:

Cost of 17 oz smoothies = Cost of 20 oz smoothies[Amount of smoothies Ms. Munguia buy / Amount of smoothies Mrs. Oswalt buy]

Cost of 17 oz smoothies = 7[17/20]

Cost of 17 oz smoothies = 119 / 20

Cost of 17 oz smoothies = $5.95

Answer:

D. 0.62

Step-by-step explanation:

I calculated it logically

sin(2x) - sin(x) = 0

Expand the first term using the double angle identity:

2 sin(x) cos(x) - sin(x) = 0

Factor out sin(x) :

sin(x) (2 cos(x) - 1) = 0

This leaves you with 2 cases that can be solved separately:

sin(x) = 0   or   2 cos(x) - 1 = 0

sin(x) = 0   or   cos(x) = 1/2

[x = 2nπ   or   x = π + 2nπ]   or   [x = π/6 + 2nπ   or   x = 5π/6 + 2nπ]

(where n is any integer)

Answer:

1, 4

Step-by-step explanation:

X increases up by one

Y multiplies 4 from the previous

Answer:

27.5-32.5

Step-by-step explanation:

Answer:

[tex]180x^4y^3z^2[/tex]

Step-by-step explanation:

Start by finding the LCM of the coefficients of each polynomial:

[tex]LCM(12,18,30)=180[/tex]

Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:

[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]

Answer:

[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]

Answer:

3/76

Step-by-step explanation:

Answer:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

we reject the Null and we conclude that babies prefer actual speaking to humming.

Step-by-step explanation:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

Mean difference, d = 27.79

Standard deviation of difference, Sd = 63.18

Sample size, n = 50

The test statistic :

d / (Sd / √n)

Test statistic :

27.79 / (63.18 / √50)

27.79 / 8.9350012

= 3.11

Using the Test statistic score, we can obtain the Pvalue

Using the standard normal table ;

Pvalue = P(x<-Z or x>Z) = 0.0018709

Pvalue is very low

Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.

Question:

What is the greatest common factor (GCF) of 24 and 40?

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40=2×2×2×5

24=2×2×2×3 then we take the common 2×2×2=8

Answer:

First you do 32.50 - the 5 dollars he used to rent shoes. Then you would get 27.50, then you do 27.50- 5.50 per game. 27.50- 5.50- 5.50-5.50-5.50-5.50. He bowled 5 games total

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

Hello! answer: -1

Hope that helps!

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

[tex]H(t) = H(0)(1+r)^t[/tex]

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that [tex]H(0) = 4[/tex]

The tree grew continuously by 22% each year from that point.

This means that [tex]r = 0.22[/tex]

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

[tex]H(t) = H(0)(1+r)^t[/tex]

[tex]H(t) = 4(1+0.22)^t[/tex]

[tex]H(4) = 4(1.22)^t[/tex]

[tex]H(4) = 4(1.22)^8 = 19.63[/tex]

The height of the tree in 2020 was of 19.63 feet.

Answer:

i'm not sure if this answers your question

the slope for - 2x + 3y = -6 is 2/3

the y- intercept is (0,-2)

Step-by-step explanation:

x | y

0 | -2

3 | 0