Ha mush and Harry work as plumbers Harry earns a dollar more than more than 5/4 the amount gaming earns per hour the amount Harry earns per hour is $2 less than 7/5 the amount Hamish earns per hour how much does each of them earn per hour

Answer:

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

Step-by-step explanation:

Given that :

t = 5 weeks

Population N(t) = 824 guppies

Growth Rate [tex]\dfrac{dN(t)}{dt}= 50 \ guppies /week[/tex]

average mass M(t) = 1.3 g

increase rate of biomass  [tex]\dfrac{dM (t)}{t}[/tex]= 0.14 g/week

Therefore; the rate at which the biomass is increasing when t = 5 is:

[tex]\dfrac{dB(t)}{dt}= M(t) * \dfrac{dN(t)}{dt}+ N(t)* \dfrac{dM (t)}{t}[/tex]

[tex]\dfrac{dB(t)}{dt}=1.3 * 50+ 824* 0.14[/tex]

[tex]\dfrac{dB(t)}{dt}=65+115.36[/tex]

[tex]\mathbf{\dfrac{dB(t)}{dt}=180.36 \ g/week}[/tex]

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

The rate at which the biomass is increasing when t = 5 is 180.36 g/week

Since time = 5 weeks, Population N(t) = 824 guppies, and growth rate = 50 guppies / week, average mass = 1.3g, and the increase rate of biomass is 0.14g/week

So,

[tex]= 1.3\times 50 + 824 \times 0.14[/tex]

= 65 + 115.36

= 180.35 g/weel

Learn more about mass here: https://brainly.com/question/3943429

Answer:

a) BOC and AOD

b) BOA and AOE

c) BOE and EOD

d) BOA and AOD

e) AOE and EOD

Step-by-step explanation:

An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD

Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so,  a pair of adjacent complementary angles are BOA and AOE.

Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles

Finally, AOE and EOD are adjacent angles that don’t form a linear pair.

Answer:

[tex] \frac{5 {x}^{2} + 20xy + 20 {y}^{2} }{x ^{2} - xy - {6y}^{2} } [/tex]

To simplify first factorize both the numerator and the denominator

For the numerator

5x² + 20xy + 20y²

Factor 5 out

5 ( x² + 4xy + 4y²)

Using a² + 2ab + b² = ( a + b)²

The numerator is

5( x + 2y)²

For the denominator

x² - xy - 6y²

Rewrite -xy as a difference

x² + 2xy - 3xy - 6y²

Factorize

We have the denominator as

( x + 2y)( x - 3y)

So we now have

Simplify

We have the final answer as

Hope this helps you

Answer:

C = 1/4

Step-by-step explanation:

When solving a quadratic equation, there are steps to follow and I'll highlight them here.

Assuming we have an equation

ax² + bx + c = 0

Step 1

If a is not equal to 1, divide all through by a

x² + bx + c = 0

Take c to the other side of the equation

x² + bx = c

Step 2

Add (b/2)² to both sides of the equation

x² + bx + (b/2)² = c + (b/2)²

In our original question,

We had x² + x = 3

a = 1 , b = 1 c = 3

Using step two, we would have

(b / 2)² = (½)² = ¼ (which is the answer)

Now back to the steps

Step 3

We factor our left side of the equation so as to have a perfect square

[x + (b/2)]² = c + (b/2)²

Step 4

Take the square root of both sides of the equation and solve for x

x + b/2 = ±√[c + (b/2)²]

The answer to the question is ¼

Answer:

1/4

Step-by-step explanation:

Answer:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer: x Less-than-or-equal-to 2.25

Step-by-step explanation:

The given inequality: 47.75 + x Less-than-or-equal-to 50.

To determine: How much more weight can be added to Li’s suitcase without going over the 50-pound limit.

i.e. inequality for x.

[tex]47.75+x\leq50[/tex]

Subtract 47.75 from both the sides, we get

[tex]x\leq50-47.75\\\\\Rightarrow\ x\leq2.25[/tex]

So, the solution set is "x Less-than-or-equal-to 2.25"

Hence, the correct answer is "x Less-than-or-equal-to 2.25."

Answer

A x <_ 2.25

Step-by-step explanation:

Step-by-step explanation:

sorry I can only explain as there are no labels to each diagram

The first diagram is single and can solved using triangular formular given as 1/2 ×base × height

A = 1/2 × 5 × 12

A = 30cm^2..

as for the second one...it consist of 2 diagrams which will be solved separately before adding ...it can simply be done using Pythagoras theorem..

To get the smaller part ...out tita is 45degrees while our adjacent is 4 and opposite is x we are to find x which is the height...

using SOH CAH TOA...

WE HAVE TAN45= opp/adj

Tan45= x/ 4

Tan 45 =1 ...so

1 = x/ 4

and x= 4 ...

so...having our height as 4 and base as 4 ..

Area of smaller triangle become 1/2 × 4 × 4

A = 8cm^2 ...

......SOLVING FOR THE SECOND DIAGRAM ..

WE HAVE the height as ( dotted spot + undotted spot ) = 4 + 4 = 8cm

and our base can be gotten from

Tan45 = opp / adj

1 = 8/x ..

x = 8cm ....so the base is 8 and the height is 8

..

The Area becomes 1/2 × 8×8 = 32cm ...

Total area becomes 32cm + 8cm = 40cm^2

Answer:

148.5 sq. ft.

Step-by-step explanation:

Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.

Lot is in trapezium shape

area of trapezium is given by = 1/2(sum of parallel sides) height

parallel sides has length 15 and 18 feet

sum of parallel sides = (15+18) = 33

height = 9 feet

thus area of lot = 1/2(33)9 = 148.5

Thus, Jan will need 148.5 sq. ft of sod.

Answer:

C. 120

Step-by-step explanation:

The figure shows that angles BEC and KEC are congruent. Their measures are equal.

m<KEC = m<BEC

10x = 6x + 24

4x = 24

x = 6

m<BEK = 2m<KEC

m<BEK = 2 * 10x

m<BEK = 2 * (10)(6)

m<BEK = 2 * 60

m<BEK = 120

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

Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

Answer: 50 degrees

Step-by-step explanation:

180-85=95

180-145=35

interior angle sum for a triangle is 180 degrees, so 180=95+35+a

m of angle A is 50 degrees

Answer:

∠ IAC = 98°

Step-by-step explanation:

The sum of the exterior angle = 360°

∠ HCB = 180° - 46° = 134° ( adjacent angles )

Thus

∠ IAC + 128° + 134° = 360°, that is

∠ IAC + 262° = 360° ( subtract 262° from both sides )

∠ IAC = 98°

Answer:

<IAC=°98

Step-by-step explanation:

<DHA + CHA = 180 SUPPLEMENTARY ANGLE

128 +CHA=180

<CHA=52

<CHA + <HAC+<ACH=180 b/c it is triangle

46 +52+HAC= 180

<HAC= 180-98

<HAC= 82

<HAC + <IAC= 180. Supplementary angle

82+<IAC=180

<IAC=180-82

<IAC=98

Answer:

we reject  H₀

Step-by-step explanation:  Se annex

The test is one tail-test (greater than)

Using   α = 0,05   (critical value )  from z- table we get

z(c) = 1,64

And Test hypothesis is:

H₀         Null hypothesis           μ   =  μ₀

Hₐ       Alternate hypothesis   μ   >  μ₀

Which we need to compare with z(s) = 2,19  (from problem statement)

The annex shows z(c), z(s), rejection and acceptance regions, and as we can see z(s) > z(c) and it is in the rejection region

So base on our drawing we will reject  H₀

Answer:

[tex]\boxed{x =-2 \±\sqrt{13} }[/tex]

Step-by-step explanation:

Let y = 0

0 = x^2+4x-9

x² + 4x -9 = 0

Add 9 on both sides.

x² + 4x = 9

(b/2)² = (4/2)² = 2² = 4

Add 4 on both sides.

x² + 4x + 4 = 13

Facror left side.

(x+2)² = 13

Take the square root on both sides.

x + 2 = ±√13

Subtract 2 on both sides.

x = ±√13 - 2

Answer:

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(

−

1

,

10

3

)

Equation Form:

x

=

−

1

,

y

=

10

3

Tap to view steps...

image of graph

Tap to hide graph...

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = [tex]\sqrt{100}[/tex] = 10

Answer:

Options (1), (2) and (5)

Step-by-step explanation:

Outcomes from the quadratic function given in the graph,

1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.

2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000

3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.

Graph reveals that the store is in loss when number of clerks is zero and 8.

Summarizing these outcomes from the graph,

Options (1), (2), (5) are the correct options.

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.

Which statements are true based on the model?

Answer:b

Step-by-step explanation:

2 3/8 ÷ 1 1/4

Steps

19/8 x 4/5

= 19/10

= 1 9/10

So the answer to this is B.

Answer:

21 unit square

Step-by-step explanation:

First you want to find the length and width of the rectangle using the distance formula:

d=√(x2-x1)²+(y2-y1)²

AB=√(6-3)²+ (-2 - -2)²

AB=√3² + 0

AB=√9

AB=3

BC=√(6-6)²+ (5 - -2)²

BC=√0 + 7²

BC=√49

BC=7

We can find the area by multiplying these two distances together:

A=(3)(7)

A=21 units square.

Hope it helped...... And plz mark BRAINLIEST

Tysm

Hi king,

Write [tex]4x^{2} + 16x - 9[/tex] in vertex form:

f(x)=[tex]4x^{2} + 16x - 9[/tex]

f(x)=[tex]4(x+2)^{2} -25[/tex]

Write [tex]5x^{2} - 10x + 4[/tex] in vertex form:

g(x)=[tex]5x^{2} - 10x + 4[/tex]

g(x)=[tex]5(x-1)^{2} -1[/tex]

Have a great day.

Answer:

371

Step-by-step explanation:

According to the given situation the calculation of degrees of freedom for this single-sample t test is shown below:-

Degrees of freedom is N - 1

Where N represents the number of Men

Now we will put the values into the above formula.

= 372 - 1

= 371

Therefore for calculating the degree of freedom we simply applied the above formula.

Answer:

Step-by-step explanation:

number of likely voters = 2022

candidate A = 49%

candidate B = 46%

margin of error = 5%

using the concept of a confidence interval to explain

from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.

also the margin of error is 5% which is higher than the 3% difference between the candidates. this margin error means that the 5% can vote for either candidate A or candidate B .which makes the results TOO CLOSE TO CALL

Answer: C) P(y) = 150(y – 15) – 125y

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Profit = revenue - cost

Cost: a watch store paid $125 per watch for a shipment of watches

Cost = 125 y

Where y is the number of watches in the shipment

Revenue: sold all but 15 watches from the shipment for $150 per watch

Revenue = 150(y-15)

Profit(y) = 150(y – 15) – 125y

So, the correct option is:

C) P(y) = 150(y – 15) – 125y

Feel free to ask for more if needed or if you did not understand something.

Answer:

Step-by-step explanation:

Given the value 78247 a s a stable number because at least one of its digits has the same value  as its position in the number. The 4th number in the value is 4, this makes the number a stable number.

The following are the 3-digits stable numbers that appears in 78247

The first number is 824. This digits are stable numbers because 2 as a number is situated in the same place as the number (2nd position).

Hence, there are only 1 stable 3-digit numbers in the value 78247 since only a value exists as 2 in the value and there is no 1 and 3 in the value.

Answer:

48

Step-by-step explanation:

FB:BS=2:1

[tex]\frac{FB}{BS} =\frac{2}{1} \\add~1~to~both~sides\\\frac{FB}{BS} +1=\frac{2}{1} +1=3\\\frac{FB+BS}{BS} =3\\\frac{FS}{BS} =3\\FS=3 \times~BS\\FS=3 \times~16=48[/tex]

Answer:

48

Step-by-step explanation:

Answer: B. 9.69892 × 10^7

You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.

Answer:

Probability of the teacher or other staff is 0.7143

Step-by-step explanation:

pr(teacher or other staff) = pr(teacher) + pr(other staff) - pr(teacher and other staff)

Total number of tickets = 1050

Number of tickets sold to teachers = 515

Number of tickets sold to other staff = 235

pr(teacher) = [tex]\frac{515}{1050}[/tex]

                 = 103 [tex]\frac{2}{10}[/tex]

                 = 0.4905

pr(other staff) = [tex]\frac{235}{1050}[/tex]

                    = 47 [tex]\frac{2}{10}[/tex]

                  = 0.2238

Since the picking of the wining ticket is mutually exclusive, then;

pr(teacher and other staff) = 0

Thus,

pr(teacher or other staff) = 0.4905 + 0.2238 - 0

                                         = 0.7143

Answer:

588 kilómetros

Step-by-step explanation:

La función con la que estamos trabajando según la pregunta es;

F (x) = 6x ^ 2 -12

Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10

Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;

F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588

Answer:

the function is decreasing at the domain values: (-∞,1)

Step-by-step explanation:

the function is decreasing in the domain values from -∞ until 1, the lowest point with no increase or decrease:

which in interval notation can be written as: (-∞,1)

I hope this helps, but if I didn't answer the question or answered wrongly I will try again.