The volume of a cuboid is 189cm3.
The length is 7cm and the width is 9cm.
Work out the height of the cuboid.

Answer:

3) -11

Step-by-step explanation:

f(-3)=5*(-3)+4

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

f(-3)=-11

Given:

f(x) = 5x + 4

To Find:

f(-3)

Answer:

(3) -11

Step-by-step explanation:

Evaluate 5x + 4 where x = -3:

\( \longrightarrow \) 5(-3) + 4

5(-3) = -15:

\( \longrightarrow \) -15 + 4

4 - 15 = -11:

\( \longrightarrow \) -11

Answer:

In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known that angle FBC = 52 and arc BE = 138 .

Step-by-step explanation:

The vertical shift upward by 8 units compared to the graph of f(x).

The horizontal shift 3 units to the left compared to the graph of f(x).

A parent function is a fundamental function that acts as the model for a group of connected functions. The shape and location of a parent function on the coordinate plane can be changed by applying a transformation to the parent function.

Given that: The parent function, f (x) = \(\sqrt{x}\) and new function

g (x) = \(8 + \sqrt{(4x+12)}\)

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Answer:

86

Step-by-step explanation:

Let the number be 10x + y. So, the reversed number is 10y + x.

The sum is 154.

So, (10x + y) + (10y + x) = 154

⇒ 11x + 11y = 154

⇒ x + y = 14 ..... (1)

Again, given that ones digit in the original number is 2 less than the tens digit.

So, y = x - 2 ...... (2)

Now, solving (1) and (2) we get,

x + x -2 = 14

⇒ 2x = 16

⇒ x = 8

So, from equation (2), y = x - 2 = 8 - 2 = 6

Therefore, the original number is 10x + y = 10 × 8 + 6 = 86 (Answer)

Answer:

I think it's 27

because length is 3 times its width

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

because something times itself isnt 42  

Step-by-step explanation:

the closest is 6 x 6= 36

and

7 x 7= 49

Answer:

Step-by-step explanation:

1 white 1 green 1 blue + 2 reds = 5 balls

5 seen as a percentage

5%

Answer:

(x, y, z) → (18, 22, 9)

Step-by-step explanation:

sum of three numbers is 49

x + y + z = 49

second number is 5 less than three times the third number

y = 3z - 5

first number is twice amount of third number

x = 2z

set of equations

x + y + z = 49

y = 3z - 5

x = 2z

plug in 2nd and 3rd equation into first

(2z) + (3z - 5) + z = 49

combine like terms

2z + 3z - 5 + z = 49

6z - 5 = 49

add 5 to both sides

6z = 54

divide by 6

z = 9

plug z into 2nd and 3rd equations

y = 3(9) - 5

y = 27 - 5

y = 22

x = 2(9)

x = 18

check:

18 + 22 + 9 = 49

(x, y, z) → (18, 22, 9)

Answer:

3b = x

Step-by-step explanation:

X is the product of 3 and b (3b).

The algebraic expression for the product of 3 and b will be 3b = x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features

Given that the word expression is a product of 3 and b​. The expression can be written as below,

E = 3b

Therefore, the algebraic expression for the product of 3 and b will be 3b = x.

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Answer:

6/15

Step-by-step explanation:

\(\frac{1}{9}\) fraction of the job is left undone.

Any number of equal parts is expressed by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, represents how many components of a suitable size there are when stated in ordinary English. fraction, A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction occurs in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. a week ago.

Given Data

A contractor completed five-ninths of a job before a second contractor completed an additional one-third.

Total work done is 1.

Contractor and second contractor completed:

= \(\frac{5}{9}\) + \(\frac{1}{3}\)

= \(\frac{5+3}{9}\)

= \(\frac{8}{9}\)

Total work done = 1

Work left undone:

= 1 - \(\frac{8}{9}\)

= \(\frac{1}{9}\)

\(\frac{1}{9}\) fraction of the job is left undone.

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Answer:

whats the options

Step-by-step explanation:

Answer:

Yan na po yung answer!!

Step-by-step explanation:

Pa brainli e st naman!!

The length of AC is 12.5 and the length of AD is 3.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle ABC,

and D is a point on AB and E is a point on AC,

and forms a triangle ADE,

and  DE is parallel to AC,

taking ΔABC and ΔBDE

∠B = ∠B  (common angle)

because DE is parallel to AC, so corresponding angles are equal,

so ∠A = ∠D

and ∠C = ∠E

ΔABC ≈ ΔBDE (triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

AB/BD = AC/DE = BC/BE

given BD = 2, BE = 4, DE = 5 and EC = 6

BC = EC + BE = 4 + 6

BC = 10

AC/DE = BC/BE

AC = 5(10/4)

AC = 12.5

and AB/BD = BC/BE

AB = 2(10/4)

AB = 5

AD = AB - BD

AD = 5 - 2

AD = 3

Hence AC = 12.5 and AD = 3.

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The figure is in image.

Answer:

23

Step-by-step explanation:

(3 times $3) + ( 2 times $7)

Answer:

(3 times $3) + (2 times $7) = total cost of five hours

Step-by-step explanation:

Answer:

6.25 dont fake ur grade plz

Step-by-step explanation:

Answer:

X > -20

Step-by-step explanation:

-10 - 9/2 x < 80

Move 10 to the other side

- 9/2 x < 80 + 10

Simplify

-9/2 x < 90

-9 x < 180

x > -20

(We switch the inequality sign if we are dividing with negatives)

The total of yes voter present in the election are 3048.

Now, for the given question;

Let the number of yes voters be 'x'.

Let the number of no voters  be 'y'.

The ratio of yes to no voters is 4:3.

Thus,

x/y = 4/3

or x = 4y/3

Now there are total 5334 voters;

Thus,

x + y = 5334

Put the value of x.

4y/3 + y = 5334

On simplification;

7y = 16002

y = 2286 (no voters)

Now, calculate 'x'.

x = 5334 - 2286

x = 3048 (yes voters)

Thus, the number of yes voters are 3048.

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The mean absolute deviation of Robin's scores is 5.2.

The mean absolute deviation (MAD) is the mean (average) distance between each data value and the mean of the data set.

To determine the MAD, we subtract the mean of the data set from each data value and sum the absolute values obtained.

Then we divide the sum of the absolute values by the number of the data values to determine the mean absolute deviation.

Robin's Scores   Distance from the Mean

99                              8

108                             1

102                             5

107                             0

119                             12

Sum =                      26

Number of Data Values = 5

The mean = 107 since 107 - 107 = 0

Mean Absolute Deviation (MAD) = 26/5 = 5.2

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Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

Answer:

a) Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

b) For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

c) For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

d) \( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Step-by-step explanation:

Part a

We want to test for this case if the true mean is significantly less than 863 calories so then the system of hypothesis are:

Null hypothesis: \( \mu \geq 863\)

Alternative hypothesis: \( \mu >863\)

Part b

For this case using the significance level of \(\alpha=0.05\) we can use the normal standard distirbution in order to find a quantile who accumulates 0.05 of the area in the left and we got:

\( z_{\alpha}=-1.64\)

And the rejection zone would be:

\( z<-1.64\)

Part c

For this case since the statistic calculated is lower than the critical value we have enough evidence to reject the null hypothesis at 5% of significance

Part d

For this case the p value would be given by:

\( p_v = P(z<-2.17) =0.015\)

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at the significance level provided

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5

Step-by-step explanation:

Answer:

5^a= 1/5^3

5^a= 5^-3

a=-3

Step-by-step explanation: