Answer:
56.4 miles
Step-by-step explanation:
4228/75 = 56.37333333
Find the slope of the line that passes through the points (2,-5) and (-2,3) PLEASE ANSWER
The slope of the line is the change in the Y values over the change in X values.
Using the given points (2,-5) and (-2,3)
The Y values are -5 and 3 and the X values are 2 and -2.
The slope = (3 - (-5)) / -2 - 2) = 8/-4 = -2
The slope is -2
Javier used the expression below to represent his score in a game of mini-golf.
3x + x + 5 – 2x
If he simplifies the expression, which statements are true about the parts of the simplified expression? Check all that apply.
1-The constant is 2.
2-The coefficient is 2.
3-The constant is 5.
4-The coefficient is 5.
5-There are two variables.
6-There are two terms.
Answer: The correct options are
(2) The coefficient is 2.
(3) The constant is 5.
(6) There are two terms.
Step-by-step explanation: Given that Javier used the expression below to represent his score in a game of mini-golf :
[tex]E=3x+x+5-2x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to select the correct statements about the parts of the simplified expression if Javier simplifies the expression.
The simplification of expression (i) is as follows :
[tex]E\\\\=3x+x+5-2x\\\\=(3+1-2)x+5\\\\=2x+5.[/tex]
Therefore, we get
the constant term is 5,
the coefficient of x is 2
and
There are two terms.
Thus, options (2), (3) and (6) are correct.
Answer:
think its 2 3 and 6
Step-by-step explanation:
sorry if im late
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Answer with step-by-step explanation:
We are given that at one farmer’s market, bananas cost $0.80 per pound while at another market, bananas are sold in 5 pound bags for $4.50 per bag.
We are to explain how to find the better buy.
For the first market, the rate of bananas is given per pound but for the other market, the rate is given for a 5 pound bag so we will find the rate of bananas per pound to compare the rates of both markets.
One pound of bananas at 2nd market = 4.50/5 = $0.9
Therefore, getting bananas from the first market at $0.80 per pound is a better buy.
Answer: A
Step-by-step explanation:on My quiz I got it right
how many solutions does the following equation have?3(x+5)=−4x+8
Answer:
1
Step-by-step explanation:
Solve the equation for x:
3(x + 5) = -4x + 8
Distribute.
3x + 15 = -4x + 8
Combine like terms.
3x + 15 = -4x + 8
+4x +4x
7x + 15 = 8
-15 -15
7x = -7
Divide both sides by 7.
x = -1
The following equation has one solution, x = -1.
Answer:
1 solution, x = -1.
Step-by-step explanation:
3(x + 5 )= −4x + 8
3x + 15 = -4x + 8
3x + 4x = 8 - 15
7x = -7
x = -1.
Perimeter of 40 triangles when the sides are all 1 cm long
Answer: 120 cm.
Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.
how do i solve this? 5×{3×[9-(4+1)]}+20÷4×2????
Answer: 70
Step-by-step explanation:
Solve the equation in the innermost parentheses first that means solving 4+1 =5
The next step would be subtracting 9 from five which gives you 4
Next multiply 3 to 4 which gives you 12
Then multiply 5 with 12 which equals 60
Now you have the equation 60+20/4*2
Solve the division and multiplication part of the equation first because of the rule pemdas which shows multiplication comes before addition
First divide 20/4 which gives you 5 then multiply with 2 which gives you ten
After dividing and multiplying you are left with the equation 60+10
The answer is 70
Please someone help me
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $80 million after 4 years, as shown in the graph
The question revolves around understanding the concepts of fixed costs, marginal costs, and economies of scale in the context of a computer manufacturing company. The company's ability to make substantial profits over a period of four years marks an effective management of these costs and leveraging economies of scale.
Explanation:The computer company's scenario primarily involves understanding the concept of fixed costs and marginal costs in a business context. The fixed cost noted here is $250, which remains constant irrespective of the number of computers produced. The marginal cost, on the other hand, is variable depending on the volume of production.
For example, the company's marginal cost for producing computers is $700 for the first one, $250 for the second, and so on. The total cost is obtained by adding the fixed cost and the total variable (marginal) costs. Understanding these costs is critically important for the company to make decisions about pricing its products to achieve desired profit margins.
It means that if the company managed to make profits of $80 million after 4 years, they have effectively managed their fixed and variable costs and priced their computers profitably. In this example, by leveraging the economies of scale, that is, an advantage that companies gain when production becomes efficient with the increasing scale of output, the company has managed to reduce the average cost of production and increase profits.
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What is the height of a triangle with an area of 6.72 square meters and a base of 3.2 meters?
Answer:
4.2 meters.
Step-by-step explanation:
Area = 1/2 * base * height.
6.72 = 1/2 * 3.2 * h
h = 6.72 / 1.6
= 4.2 m.
Answer:
4.2 meters
Step-by-step explanation:
The height of a triangle with an area of 6.72 square meters and a base of 3.2 meters is 4.2 meters.
6.72 = 1/2 * 3.2 * h
sin(5x)sin(3x)
Express the given product as a sum or difference containing only sines or cosines.
[tex]\bf \textit{Product to Sum Identities} \\\\ sin(\alpha)sin(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad -\quad cos(\alpha+\beta)]\qquad \leftarrow \textit{we'll use this one} \\\\\\ cos(\alpha)cos(\beta)=\cfrac{1}{2}[cos(\alpha-\beta)\quad +\quad cos(\alpha+\beta)] \\\\\\ sin(\alpha)cos(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad +\quad sin(\alpha-\beta)][/tex]
[tex]\bf cos(\alpha)sin(\beta)=\cfrac{1}{2}[sin(\alpha+\beta)\quad -\quad sin(\alpha-\beta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(5x)sin(3x)\implies \cfrac{cos(5x-3x)-cos(5x+3x)}{2}\implies \cfrac{cos(2x)-cos(8x)}{2}[/tex]
Answer:[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right )[/tex]
Step-by-step explanation:
Solution
[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )[/tex]
We know
[tex] 2sin\left ( a\right )sin\left ( b\right )=cos\left ( a-b\right )-cos\left ( a+b\right ) [/tex]
Applying formula
[tex]Sin\left ( 5x\right )Sin\left ( 3x\right )=\frac{1}{2}\left ( cos\left ( 5x-3x\right )-cos\left ( 5x+3x\right )\right )[/tex]
=[tex] \frac{1}{2}\left ( cos\left ( 2x\right )-cos\left ( 8x\right )\right ) [/tex]
Given parallelogram ABCD, find the lengths and angles required
Step-by-step explanation:
let's Recall the properties of a parallelogram
1. the opposite sides of a parallelogram is congruent
AB=CD
8x-7=5x+2
8x-5x=7+2
3x=9
x=3
2. the consecutive angles are supplementary
angle A+angle D=180°
2y+50°+3y+40°=180°
5y+90°=180°
5y=90°
y=18
for a standard normal distribution which of the following variables always equals 1
For a standard normal distribution, the standard deviation is always equals 1
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean.
It is given by:
z = (raw score - mean) / standard deviation
For a standard normal distribution, the standard deviation is always equals 1
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Which of the following is not a service offered by public health programs?
Answer:
The answer is B) Medical Research
Step-by-step explanation:
Medical research is something typically done by private companies.
Answer: B. Medical research.
Step-by-step explanation: Public Health Programs: the types of public health programs that address STIs are: Prevention education, testing and counseling, and diagnosis and treatment.
:)
if twice a number is less than the number, the number must be a) negative b) even c) 0.5 d) a square
Answer:
a) negative
Step-by-step explanation:
When you multiply a given negative number by a positive number, the result becomes smaller than the original.
For instance let [tex]-100[/tex] be the original number.
Multiply by 2.
The result is -200
We know [tex]-200\:<\:-100[/tex]
The correct answer is A.
Answer: a) negative
Step-by-step explanation:
-100x2=-200
-200 is negative.
Expected future value $125,000 3% of 2 years
Answer:
$132,612.50
Step-by-step explanation:
We will use the present value - future value formula. WHich is:
[tex]FV=PV(1+r)^t[/tex]
Where
FV is the future value (amount)
PV is the present value (amount)
r is the rate of interest (per year)
t is the number of years
In the problem given, the present amount (PV) is 125,000. The rate of interest (r) is 3%, or 0.03. And the time frame is 2 years, or t = 2.
Plugging these info in the equation, we can get the future value as shown:
[tex]FV=PV(1+r)^t\\FV=125,000(1+0.03)^2\\FV=125,000(1.03)^2\\FV=132,612.5[/tex]
This is the future vallue of $125,000 3% in 2 years.
Pleassssssse help me with number 3
Answer:
could it be letter H? please lmk
Plot the image of point B under a dilation about the origin (0,0) (0,0)with a scale factor of 4. Image will be included below.
Answer:
See attachment
Step-by-step explanation:
The mapping for a dilation with a scale factor k, about the origin is given by:
[tex](x,y) \to \: (kx,ky)[/tex]
From the graph, the coordinates of B are (1,1) and the scale factor is k=4.
We substitute into the rule to get
[tex]B(1,1) \to \: B'(4,4)[/tex]
The image of point B is plotted on the graph in the attachment.
To find the image of point B under a dilation with a scale factor of 4 about the origin (0,0), multiply the coordinates of point B by 4.
Explanation:To plot the image of point B under a dilation with a scale factor of 4 about the origin (0,0), we need to multiply the coordinates of point B by the scale factor. If point B is represented as (x,y), then the image of B would be (4x, 4y).
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y>1 and y>x on a graph
So,
[tex]y>1\wedge y>x[/tex]
1. Graph each inequality separately.
2. Choose a test point to determine which side of the line needs to be shaded.
3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)
As for the system of inequalities we say it's unbounded.
Find the height of a square pyramid with volume 37.3 ft3 and dimensions of base 4 ft by 4 ft. Please help!
[tex]\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} B=\stackrel{4\times 4}{16}\\ V=37.3 \end{cases}\implies 37.3=\cfrac{1}{3}(16)h\implies 111.9=16h \\\\\\ \cfrac{111.9}{16}=h\implies 6.99375=h[/tex]
Answer:
6.99
Step-by-step explanation:
To find the height use the formula 3*V/b squared
So plug the numbers you have which is the base and volume
3*37.3/4 squared
Now solve:
4 squared = 16
3*37.3 = 111.9
111.9/16 = 6.99375
6.99375 can be rounded down to 6.99
Find the area of a triangle with legs that are: 15 mm, 10 mm, and 20 mm.
Answer:
Area = [tex]\frac{75}{4} \sqrt{15} sq mm[/tex]
Step-by-step explanation:
Here we are given with all the sides of the triangle , and we are asked to find the area of it. we will use Heron's Formula to find the area. The formula is as under
Area [tex]= \sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]
Where [tex]s= \frac{a+b+c}{2}[/tex]
Where a , b and c are the three sides of the triangle
a=15 , b=10 and c=20
Substituting those values in the two formula one by one we get
[tex]s=\frac{15+10+20}{2}[/tex]
[tex]s=\frac{45}{2}[/tex]
now putting this value of s in main formula we get
Area= [tex]\sqrt{s\times (s-a) \times (s-b) \times (s-c)}[/tex]
Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45}{2}-15) \times (\frac{45}{2}-10) \times (\frac{45}{2}-20)}[/tex]
Area = [tex]\sqrt{\frac{45}{2} \times (\frac{45-30}{2}) \times (\frac{45-20}{2}-) \times (\frac{45-40}{2})}[/tex]
Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{25}{2}) \times (\frac{5}{2})}[/tex]
Area = [tex]\sqrt{\frac{45}{2} \times (\frac{15}{2}) \times (\frac{20}{2}-) \times (\frac{5}{2})}[/tex]
Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]
Area = [tex]\frac{1}{4} \sqrt{45 \times 15 \times 25 \times 5}[/tex]
Area = [tex]\frac{1}{4} \sqrt{9 \times 5 \times 5 \times 3 \times 25 \times 5}[/tex]
Area = [tex]\frac{3\times 5 \times 5}{4} \sqrt{3 \times5}[/tex]
Area = [tex]\frac{75}{4} \sqrt{15}[/tex]
The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]
Further Explanation;Area Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.For example;
Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;= 1/2 x base x height
Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.For example;
Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle. where [tex]s =\frac{(a+b+c)}{2}[/tex]In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm
Therefore, we use the Heron's formula;
Area= [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s =\frac{(a+b+c)}{2}[/tex]
[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]
Therefore;
Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
= [tex]22.5\sqrt{12.5(12.5-15)(22.5-10)(22.5-20)}[/tex]
=[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]
[tex]= 72.618 mm^{2}[/tex]
Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.
Learn more about: Perimeter: https://brainly.com/question/12905000 Area: https://brainly.com/question/12905000 Area of a triangle: https://brainly.com/question/4125306Heron's Formula: https://brainly.com/question/10713495Example of a question using Heron's Formula: https://brainly.com/question/10713495
Level: Middle school
Subject; Mathematics
Topic: Area
Sub-topic: Area of a triangle
9(x + 1) = 25 + x
x = 2
x = 3
x = 4
X
11
Answer:
x = 2.
Step-by-step explanation:
9(x + 1) = 25 + x
9x + 9 = 25 + x
Subtract x from both sides:
9x - x + 9 = 25
Subtract 9 from both sides:
9x - x = 25 - 9
8x = 16
x = 16/8 = 2.
Answer:
x = 2
Step-by-step explanation:
Given
9(x + 1) = 25 + x ← distribute parenthesis on left side
9x + 9 = 25 + x ( subtract x from both sides )
8x + 9 = 25 ( subtract 9 from both sides )
8x = 16 ( divide both sides by 8 )
x = 2
What is the solution to the equation g^(x-2)=27
Answer:
First problem: Solving for g.
[tex]g=27^{\frac{1}{x-2}}[/tex]
Second problem: Solving for x.
[tex]x=\log_g(27)+2[/tex]
Third problem: Assuming g is 9 while solving for x.
[tex]x=3.5[/tex]
Step-by-step explanation:
First problem: Solving for g.
[tex]g^{x-2}=27[/tex]
Raise both sides by 1/(x-2).
[tex](g^{x-2})^{\frac{1}{x-2}}=27^{\frac{1}{x-2}}[/tex]
[tex]g^{1}=27^{\frac{1}{x-2}}[/tex]
[tex]g=27^{\frac{1}{x-2}}[/tex]
Second problem: Solving for x.
[tex]g^{x-2}=27[/tex]
x is in the exponent so we have to convert to logarithm form since we desire to solve for it:
[tex]\log_g(27)=x-2[/tex]
Add 2 on both sides:
[tex]\log_g(27)+2=x[/tex]
[tex]x=\log_g(27)+2[/tex]
Third problem: Assuming g is 9 while solving for x.
[tex]9^{x-2}=27[/tex]
I'm going to solve this in a different way than I did above but you could solve it exactly the way I did for x when 9 was g.
I'm going to write both 9 and 27 as 3 to some power.
9=3^2 while 27=3^3.
[tex](3^2)^{x-2}=3^3[/tex]
[tex]3^{2x-4}=3^3[/tex]
Since both bases are the same on both sides, we need the exponents to be the same:
[tex]2x-4=3[/tex]
Add 4 on both sides:
[tex]2x=7[/tex]
Divide both sides by 2:
[tex]x=\frac{7}{2}[/tex]
[tex]x=3.5[/tex]
Now earlier for x in terms of g we got:
[tex]x=\log_g(27)+2[/tex]
I we input 9 in place of g and put it into our calculator or use some tricks without the calculator to compute we should get 3.5 as the answer like we did above when g was 9.
[tex]x=\log_9(27)+2[/tex]
[tex]x=\frac{3}{2}+2[/tex]
[tex]x=1.5+2[/tex]
[tex]x=3.5[/tex]
Simplify the imaginary number sqr -75
Answer:
5i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
and [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-75}[/tex]
= [tex]\sqrt{25(3)(-1)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex]
= 5 × [tex]\sqrt{3}[/tex] × i
= 5i[tex]\sqrt{3}[/tex]
10,825.643 which digit is in the tenths place
Answer:
the number 6 is in the tenths place.
Hope this helps!
What is 12x - 4y = -8 written in slope-intercept form?
y = 3x+2
y= 3x-2
y = 12x-8
y=-12X-8
Hey there!
Isolate the y variable by subtracting 12x in both sides:
-4y = -12x - 8
To solve for y divide -4 in both sides
y = 3x + 2
Our answer would be y = 3x + 2
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 12x - 4y = - 8 into this form
Subtract 12x from both sides
- 4y = - 12x - 8 ( divide all terms by - 4 )
y = 3x + 2 ← in slope- intercept form
Arnold invested $64,000, some at 5.5% interest and the rest at 9%. How much did he invest at each rate if he received $4,500 in interest in one year?
Answer:
The amount invested at 5.5% was $36,000 and the amount invested at 9% was $28,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x -----> the amount invested at 5.5%
(64,000-x) -----> the amount invested at 9%
in this problem we have
[tex]t=1\ years\\I=\$4,500\\ P=\$64,000\\r1=0.055\\P1=\$x\\P2=\$64,000-\$x\\r2=0.09[/tex]
so
[tex]I=P1(r1t)+P2(r2t)[/tex]
substitute the given values
[tex]4,500=x(0.055*1)+(64,000-x)(0.09*1)[/tex]
[tex]4,500=0.055x+5,760-0.09x[/tex]
[tex]0.09x-0.055x=5760-4,500[/tex]
[tex]0.035x=1,260[/tex]
[tex]x=\$36,000[/tex]
[tex]64,000-x=64,000-36,000=\$28,000[/tex]
therefore
The amount invested at 5.5% was $36,000 and the amount invested at 9% was $28,000
What is the slope of a line passing through (3, 4) and (5,8)?
1/2
2
2/4
4/2
Answer:
2
Step-by-step explanation:
To find the slope of a line given two points [tex](x_1,y_1) \text{ and } (x_2,y_2)[/tex] you could use the formula: [tex]\frac{y_2-y_1}{x_2-x_1} \text{ or even } \frac{y_1-y_2}{x_1-x_2}[/tex].
However, what I'm fixing to do is equivalent to that except I think easier to remember.
You line up the points vertically and subtract, then put 2nd difference over 1st difference.
Like this:
( 3 , 4)
- ( 5 , 8)
---------------
-2 -4
So the slope is -4/-2=4/2=2.
The slope is 2.
Determine whether the trinomial is a
perfect square. If so, factor it. If not,
explain why.
16. 81n2 + 90n+ 100
Step-by-step explanation:
Use (a+b)²= a²+2ab+b² formula
We can see that a²=81n² (so a=9n) and b²=100 (so b=10) and 2ab = 2*9n*10=180n.
therefore only √(81n²+180n+100) would be perfect square and this - isn't.
Find the circumference given the area = 50.3 m². Use 3.14 for π as necessary.
The circumference of a circle with an area of 50.3 m² is 25.12 m.
Further Explanation Area Area is a measure of how much space is occupied by a given shape.Area of a substance is determined by the type of shape in question.For example;
Area of a rectangle is given by; Length multiplied by widthArea of a triangle = 1/2 x base x heightArea of a circle = πr². where r is the radius of a circle,Area of a square = S², Where s is the side of the square.etc.Perimeter Perimeter is defined as the distance along a two dimension shape. Perimeter of different shapes is given by different formulasFor example;
The perimeter of a rectangle = 2(length+width)The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.The Circumference of a circle = 2πr , where r is the radius of the circleIn this case;
The Area of a circle = 50.3 m²
π = 3.14
But; Area of a circle = πr²
Therefore;
3.14r²= 50.3 m²
r² = 50.3/3.14
=16.019
r = √16.019
= 4.0023
≈ 4.00
But;
Circumference of a circle is given by 2πr
Thus;
Circumference = 2 × 3.14 × 4.00
= 25.12 m
Keywords; Perimeter, Area, Area of a circle, Circumference of a circle
Learn more about:Perimeter:https://brainly.com/question/1322653Area: https://brainly.com/question/1322653Area of a circle: https://brainly.com/question/9404782Circumference of a circle: https://brainly.com/question/9461882Level: Middle school
Subject; Mathematics
Topic: Area and Perimeter
Sub-topic: Area and circumference of a circle
Can someone help me please and thank you