Mathematics High School

evaluate ab - 0.5b when a =1 and b=5

Answers

Answer 1

The answer you’re looking for is 2.5

Answer 2

Answer:

ya 2.5

Step-by-step explanation:

Related Questions

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal length is (x + 4) feet, which function can be used to find the shorter side of her lawn?
a.] [tex]s(x)= \sqrt{2x+7} [/tex]
b.] [tex]s(x)= \sqrt{2 x^{2} +14x+25} [/tex]
c.] [tex]s(x)= \sqrt{x^{2} +7x+12} [/tex]
d.] [tex]s(x)= {x^{2} +7x+12} [/tex]

Answers

the answer is the option A

let
y--------------- > short side
applying the Pythagorean theorem
(x+4)²=y²+(x+3)²
y²=(x+4)²-(x+3)²-------> x²+8x+16-x²-6x-9=2x+7
y=√(2x+7)

Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that [tex](x+4)^2=(x+3)^2+s^2[/tex]. This yields [tex]s^2+x^2+6x+9=x^2+8x+16[/tex]
which yields s^2=2x+7, hence a) is the correct answer.

Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width

Answers

If the length is 45 cm, then..
4:5 is our ratio.
Our new ratio would be 36:45.
The width is 36 cm. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)

Answer: the answer would be 36:45

Step-by-step explanation: Hope this helps please bore brainlyiest est.

Answer for function

Answers

3, -6, 2 will be your three roots

A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an equation that represents this problem is =1200=1200. there are rows in the theater.

Answers

Answer:

The equation is 20x = 1200

x=1200÷20

x=60 rows

Step-by-step explanation:

The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume of 105 cm 3 is 30º C. What will be the temperature of the gas when it is compressed to a volume of 84 cm 3? 18.8º C 48º C 24º C 37.5º C

Answers

we know that

if the temperature T of a given mass of gas varies inversely with its volume V
then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C

Final answer:

The temperature of a gas can be calculated using the formula for inverse variation, which is T1*V1 = T2*V2. By substituting the given values into the formula, we can find that the temperature of the gas when it is compressed to a volume of 84 cm^3 is 37.5ºC.

Explanation:

To solve this problem, we can use the formula for inverse variation:

T1*V1 = T2*V2

Given that T1 = 30ºC, V1 = 105 cm^3, and V2 = 84 cm^3, we can solve for T2:

T2 = (T1*V1)/V2 = (30*105)/84 = 37.5ºC

Therefore, the temperature of the gas when it is compressed to a volume of 84 cm^3 will be 37.5ºC.

The speed of an object in space is shown in the graph.

What is the slope of the line?
10
15
20
25

Answers

(6-3)/(0.4-0.2)
= 15

the slope of the line = 15
the answer is B.

Answer:

Option B is correct

Step-by-step explanation:

Formula for slope is given by:

[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]

As per the statement:

Form the graph:

Consider two points:

(0.2, 3) and (0.4, 6)

then;

[tex]\text{Slope} = \frac{6-3}{0.4-0.2}[/tex]

⇒[tex]\text{Slope} = \frac{3}{0.2}[/tex]

⇒[tex]\text{Slope}= 15[/tex]

Therefore, the slope of the line is, 15

helpppppppppppppppppppp

Answers

What you must do for this case is to rewrite the expression carefully to find the correct answer.
You must respect the subtraction of fractions.
Group the terms correctly.
Factor when necessary.
Answer
option 1
See attached graph.

Item 14
POSSIBLE POINTS: 5
The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for labor. You paid $132 for parts and $65 for each hour of labor. The total cost to repair the car was $229.50. How many hours did it take to repair the car?

Which equation best models this problem? Let x = number of hours worked

229.5 – 65 = 132x

132x + 65 = 229.5

132 + 65x = 229.5

132 + 65 = 229.50x

Answers

Lets work out the problem from the beginning. Let [tex]x[/tex] be the number of hours worked. We know that you paid $65 for each hour, and remember that the numbers of hours worked is [tex]x[/tex], so you paid for those hours [tex]65x[/tex]. We also know that you paid $132 for parts, a total cost of $229.5, so:
parts + worked hours = total cost
[tex]132+65x=229.5[/tex]
And now that we have our equation from the model, lets solve for [tex]x[/tex] to find how many hours took to the repair the car:
[tex]65x=229.5-132[/tex]
[tex]65x=97.5[/tex]
[tex]x= \frac{97.5}{65} [/tex]
[tex]x=1.5[/tex]

We can conclude that it took 1 and a half hour to repair the car.

the area of a trapezoid is 72.8 square feet. the length of one of its bases is 7.4 feet and the length of its other base is 10.8 feet. what is the height of the trapezoid?

Answers

[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}\quad \begin{cases} a,b=\stackrel{parallel~sides}{bases}\\ h=height\\ --------\\ A=72.8\\ a=7.4\\ b=10.8 \end{cases}\implies 72.8=\cfrac{h(7.4+10.8)}{2} \\\\\\ 72.8=\cfrac{18.2h}{2}\implies \cfrac{72.8\cdot 2}{18.2}=h[/tex]

Rowan raised $640 In a charity walk last year.this year he raised 15% more than he raised last year. How much money did Rowan raise this year?

Answers

Compute 115% of $640

1.15 × $640 = $736

What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?

Answers

The slope of the given line is the x-coefficient, 3/4. The slope of a perpendicular line will be the negative reciprocal of that, -1/(3/4) = -4/3.

A line with a y-intercept of zero will do.
.. y = (-4/3)x

can you please help me thank you you will be given brainley

Answers

Vertex W corresponds to vertex Z; V corresponds to V, and Y corresponds to Y. Hence
ΔZVY ≅ ΔWVY . . . . . . corresponds to the 2nd selection

The tables below show two functions. For each set of data:
a) Determine whether the data represents a linear function, exponential function or neither and explain why.
x f(x)
-2 18
-1 22
0 26
1 30
2 34
x g(x)
-2 2
-1 4
0 8
1 16
2 32

Rubric:
Points Concept Addressed
/2 Correctly determines whether each table represents linear, exponential or neither
/2 Correctly explains their answer.

Answers

The first table, representing f(x), is linear. The data have a constant rate of change or slope:
(between the first two points): m = (y₂ - y₁)/(x₂ - x₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points): m = (34-30)/(2-1) = 4/1 = 4.

The second table, representing g(x), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.

If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
.. ......

it's my first college chm and I forgot how to do such word problems, would you help me please, thank you

Answers

First determine how many square feet there are in the front lawn.
(15.0 ft) x (20.0 ft) = 300. ft^2
Now find how many snow flakes land in the entire lawn.
(300. ft^2) x (1450 snow flakes/min/ft^2) = 435,000 snow flakes/min
Now find the total mass of snow landing on the lawn per hour.
(435,000 snow flakes/min) x (1.70 mg/snow flake) x (1 kg/1,000,000 mg) x (60 min/1hour) = 44.4 kg of snow per hour.

look at the picture below // 99 points // PLEASEE HELPP

Answers

It would be D right? Because they are obviously congruent, parallel and the same length. Just an educated guess..

Is given that the figure on the problem is a square, and we know that the square's sides are congruent or have the same length.

•The correct answer is letter D, Yes, the opposite sides are parallel, and all sides are the same length.

BRIANLIESTTTTTTTTTTTT ASAP!

Answers

Step 7 is the only incorrect step. The denominator of the expression on the right should be 2a, not 4a.

Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)

Answers

Hello!

To estimate Carl's savings at the end of the month, we must round the $1.10 Carl puts in his bank to $1 as it is closest to $1, and then multiply that by the number of days in July (31).

1 × 31 = 31

A N S W E R:

The best estimate for Carl's savings at the end of the month of July is $31.

If you were offered a job would you choose the one with the pay increase according to an arithmetic sequence formula or a geometric sequence formula? Justify your response.

Answers

I believe it would be the one with the Geometric sequence formula

Final answer:

For maximizing earning potential over time, a geometric sequence salary increase is typically more beneficial due to exponential growth, while an arithmetic sequence offers steady, predictable increases that may appeal to those who value consistency.

Explanation:

If offered a job with a salary increase tied to either an arithmetic sequence or a geometric sequence, the preferable option typically depends on the long-term financial goals and growth potential you are looking for. An arithmetic sequence will give you steady, predictable increases. However, a geometric sequence formula will often result in larger increases over time, especially if the ratio is 2 or more. Due to the exponential nature of a geometric sequence, your salary could grow significantly faster than with an arithmetic sequence. For example, if you start with a salary of $50,000, and the arithmetic sequence increase is $1,000 each year, after five years you would be earning $55,000. On the other hand, for a geometric sequence with a modest ratio of 1.05 (5% increase each year), you would start at the same $50,000 but after five years be earning approximately $63,814.

Considering this, if your primary goal is to maximize earning potential over time, the geometric sequence would be the more appealing option. However, if you value consistency and predictability in pay increases, or if the progression starts very low, an arithmetic sequence might be more in line with your personal financial planning.

FAST HELP!! 30 POINTS!!!

what type of solutions do the methods for solving systems of equations find and how does this relate to setting the equations equal to each other

Answers

substitution method and elimination method. And how does it relate to setting equal to each other? It's where the two graphs intersect is where they have in common

Final answer:

Explanation of solutions for systems of equations and how setting equations equal to each other helps find solutions.

Explanation:

Solutions for systems of equations can be classified as unique, no solution, or infinitely many solutions. The method of setting equations equal to each other typically helps find the intersection points where the equations are simultaneously true, representing the solution to the system.

The price of a gallon of unleaded gas has dropped to $2.81 today. yesterday's price was $2.88 . find the percentage decrease. round your answer to the nearest tenth of a percent.

Answers

The percentage decrease is approximately -2.4%.

To find the percentage decrease in price, we can use the formula:

Percentage decrease = ((New price - Old price) / Old price) * 100

Using the given information, we substitute the values into the formula:

Percentage decrease = ((2.81 - 2.88) / 2.88) * 100

Simplifying the expression, we get:

Percentage decrease = (-0.07 / 2.88) * 100

Converting to a decimal and multiplying by 100, we find:

Percentage decrease = -0.0243 * 100 = -2.43%

Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.

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PLEASE HURRY
Line segment CT contains the point C(−2, 5) and a midpoint at A(1, −3). What is the location of endpoint T? T(4, −11) T(3, −8) T(5, −1) T(−0.5, 1)

Answers

Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C

Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8

Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)

The coordinate for point T would be (4, -11)

On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.

Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.

A total of people visited the natural history museum Friday night.

Answers

749 people, 165 is 22% of 100 %. so 4.5 x more people attended. 4.5 x165 is 749.1 so, 749 people attended. (749people x 22% equals 164.78 people)

The answer is 750 people visited the natural history musem Friday night.

Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two

Answers

The answer is 16 over 52. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)

What is the set of all possible outcomes of a probability experiment?

Answers

So basically its all the numbers that are can be an answer for example if ur looking at a dice you set of all possible outcomes will be {1,2,3,4,5,6} because a dice has 6 possible out comes

Final answer:

The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.

Explanation:

The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.

For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.

In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.

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Why are epidemics and pandemics a relatively recent phenomenon in human history?

Answers

For the greater part of man's opportunity on earth, populaces were little, scattered, and subordinate after chasing and assembling. Those infectious diseases that influenced people were either the consequence of unplanned contamination by zoonoses or lethargic contaminations that maybe had developed with people from their primate precursors. It was just because of the rural upheaval 6,000 to 8,000 years back and the resulting development of inactive populaces sufficiently substantial to help microorganisms particularly subordinate upon human has that epidemics and pandemics seem to have moved toward becoming piece of man's life (Cockburn 1963)

What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -4~) % (c,d) &&(~ -8 &,& 1~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{50}\implies d=\sqrt{25\cdot 2}\implies d=\sqrt{5^2\cdot 2} \\\\\\ d=5\sqrt{2}[/tex]

What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2

Answers

See attachments for your Answer

Answer:

The graph is shifted left 6 units

Step-by-step explanation:

Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?

Answers

Triangle 4. There you go

It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!

The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer

Answers

if y is 16 the x is 2y+3=2•26+3= 51
i think this is the answer i forgot this but this is so easy.

Two integers are x and y
sum of two integers (x+y) = 26
x = 2 + 3y
plug that into equation above:
x + y = 26
(2+3y)+y = 26
4y +2-2 = 26-2
4y = 24
4y/4 = 24/4
y = 6
x = 2 + 3y = 2 + 18 = 20

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.

Answers

Answer:

[tex]m<C=62\°[/tex]

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

In this problem

[tex]m<D+m<B=180\°[/tex]

[tex]m<C+m<A=180\°[/tex]

step 1

Find the value of x

[tex]m<D+m<B=180\°[/tex]

substitute the values and solve for x

[tex](x+20)\°+(3x)\°=180\°[/tex]

[tex]4x=180\°-20\°[/tex]

[tex]x=160\°/4=40\°[/tex]

step 2

Find the measure of angle A

[tex]m<A=(2x+38)\°=2(40\°)+38\°=118\°[/tex]

step 3

Find the measure of angle C

[tex]m<C+m<A=180\°[/tex]

substitute the values and solve for m<C

[tex]m<C+118\°=180\°[/tex]

[tex]m<C=180\°-118\°=62\°[/tex]

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