9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are identical, so have infinitely many solutions.
__
The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations differ only in their constant, so have no solutions.
__
The third set is already written in slope-intercept form. The equations have different slopes, so have exactly one solution.
please answer asap I really need it til 2.00 p.m, A sporting good store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making theone-day sale price of the ski set $321.
Find the original selling price of the ski set ?
Answer:
the ski original price is 641
Step-by-step explanation:
Answer:
Step-by-step explanation:
you cant find the answer without knowing what discount was given sorry
The half-life of Iodine-131 is approximately 8 days. Find the amount of Iodine-131 left from a 42 gram sample after 16 days.
1) 0.0006 grams
2) 21 grams
3) 10.5 grams
4) 34 grams
Answer:
Step-by-step explanation:
The formula for this is
\(N=N_0(.5)^{\frac{t}{H}\) where
N is the amount of the element left after a certain amount of time (for us it is measured in days),
N₀ is the initial amount of the element in grams,
t is the number of days gone by, and
H is the half life of the element. Filling in:
\(N=42(.5)^{\frac{16}{8}\) which simplifies a bit to
\(N=42(.5)^2\) and a bit more to
N = 42(.25) which gives us a remaining amount of
N = 10.5
what is the radius and diameter of the following circle ? 5.1 cm ?
What is the area, in the square centimeters, of the triangle shown?
Solution
- The solution steps are given below:
\(\begin{gathered} \text{ The hypotenuse is 24.} \\ \text{ Since this is a 45-45-90 triangle, the sides AB and BC are equal and they are:} \\ AB\sqrt{2}=AC \\ AB\sqrt{2}=24 \\ \therefore AB=\frac{24}{\sqrt{2}}=12\sqrt{2} \\ \\ \therefore\text{ The area of the triangle:} \\ A=\frac{1}{2}\times BC\times AB\text{ \lparen}\frac{1}{2}\times base\times height) \\ \\ A=\frac{1}{2}\times12\sqrt{2}\times12\sqrt{2} \\ \\ A=144 \end{gathered}\)Final Answer
The area is 144 square cm (OPTION A)
4. An equilateral triangle has a perimeter of 24 feet. A circle is constructed with a diameter equal to one side of the triangle. What is the area of this circle in square feet? Hint: Equilateral triangles have 3 equal sides!
If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.
How to find the area?Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).
The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.
The area of a circle is given by the formula:
A = πr^2
where A is the area and r is the radius.
Plugging in the value of the radius, we get:
A = π(4 feet)^2
A = 16π square feet
A ≈ 50.27 square feet (rounded to two decimal places)
Therefore, the area of the circle is approximately 50.27 square feet.
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Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien
Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.
Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).
Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.
Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.
What is an equation for the line through (11,-21) with undefined slope
Answer:
\(x=11\)
Step-by-step explanation:
An undefined slope is a vertical line on a graph. This means it isn't equal to a y-value, but rather an x-value instead. All values of y work for this function, just as long as the x-coordinate is 11.
Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
Can anyone help me with this equation? I need to show the work
Simplify the expression (5-4i) (-3 - 4i) – (10-3i)
Answer:
\(-5i-41\)
Step-by-step explanation:
Hi there!
\((5-4i) (-3 - 4i) - (10-3i)\)
Open up the parentheses
\(= -15-20i+12i+16i^2- 10+3i\)
i² = -1
\(= -15-20i+12i-16- 10+3i\)
Combine like terms
\(= -5i-41\)
I hope this helps!
Need help with this graph.Given the inequality: y < 3x+1. Identify the graph that describes the inequality.
The Solution:
Given the inequality below:
\(y<3x+1\)We are required to the graph that describes the graph above.
\(\begin{gathered} \text{ when x=0} \\ y=3(0)+1=1 \\ (0,1) \\ \text{ When y=0} \\ 0=3x+1 \\ -1=3x \\ x=-\frac{1}{3} \\ (-\frac{1}{3},0) \end{gathered}\)The required graph is attached below:
A picture is 10 inches by 14inches. The frame measures 2 inches longer and wider than the painting. What is the area of the frame?
Answer:
52
Step-by-step explanation:
so first you do 10x14=140
next you have to do 12x16=192
then u have to do 192-140=52in squared
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = \(\frac{104}{2}\) = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = \(\frac{76}{2}=38^\circ\)
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
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Simplify (2x-3y)^8 please
Answer: well solve what's in the parentheses first
Step-by-step explanation: that is the first step
How many 5-letter code words can be formed from the letters T, Q, G, E, B if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.
Now when no letters are repeated:
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.
So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes
if letters can be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.
So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes
if adjacent letters cannot be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.
So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes
Hence the total number of codes as calculated by permutation and combination is 1280.
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A bear is sitting on an river bank 9 feet above the water. If a fish is in the water 14 feet from the base of the river bank, what is the angle of depression from the bear to the fish
The angle of depression from the bear to the fish is 32.7 degrees.
The situation forms a right angle triangle.
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. Therefore, the sides or angle can be found using trigonometric ratios.
The angle of depression can be found using trigonometric ratio.
Therefore, the opposite side of the triangle is 9ft and the adjacent side of the triangle is 14 ft.
tan ∅ = opposite / adjacent
tan ∅ = 9 / 14
∅ = tan ⁻¹ 0.64285714285
∅ = 32.7352262721
∅ = 32.7°
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En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
Tyler is 6 feet tall and Blake measures his shadow to be 10 ½ feet long. Maddie measures the shadow of the tree to be 21 feet long. How tall is the tree to the nearest tenth of a foot.
20 Points
The tree is approximately 12 feet tall to the nearest tenth of a foot.
We have,
To find the height of the tree, we can set up a proportion using the measurements of the shadow.
Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:
Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length
6 feet / 10.5 feet = Tree's height / 21 feet
To find the tree's height, we can cross-multiply and solve for it:
6 feet x 21 feet = 10.5 feet x Tree's height
126 feet = 10.5 feet x Tree's height
Dividing both sides of the expression by 10.5 feet:
126 feet / 10.5 feet = Tree's height
12 feet = Tree's height
Therefore,
The tree is approximately 12 feet tall to the nearest tenth of a foot.
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How many apples are the
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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About 145 out of 500 students prefer walking instead of
riding the bus to school. About what percent of the
students prefer walking?
30%
50%
70%
145%
Answer:
30%
Step-by-step explanation:
\(\frac{145}{500} = 0.29\) ≅ 0.30 or 30%
Would a scale that is used to weigh food be the best tool to weigh concrete blocks?Explain
Answer:
A scale with a suitable range for weighing small items such as food in the home, would not be suitable for weighing large, heavy items, such as concrete blocks. A scale for concrete blocks wouldn't be sensitive enough for food.
The radius of a circle is 3 feet. What is the length of a 75° arc?
Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.
How do circles work?Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."
Here,
A circle with a radius of 3 feet is equal to its diameter as follows:
=> C = 2πr = 2π(3) = 6π feet
Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:
5/24 of a complete circle is 75/360.
Therefore, the 75° arc's extent is
5/24 × 6π = 5π/4 ≈ 3.93 feet
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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Which expression is equivalent to 0?
eight less than ten minus two
eight less than ten minus two
negative eleven plus seven plus five
negative eleven plus seven plus five
twenty-two minus forty plus nineteen
twenty-two minus forty plus nineteen
negative seventeen minus two plus fifteen
The expression that is equivalent to 0 is eight less than ten minus two because it will give the zero expression when expressed mathematically.
What is mathematical expression?The mathematical expression can be described as the finite combination of the mathematical items which can be symbols which is been according to rules and this can be based on the particular expressions items that is been given.
In this case we can come into conclusion that, eight less than ten minus two will gives us zero which implies that out of the given option, option A is correct.
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750 is 150 percent of what?
Answer:
500
Step-by-step explanation:
you welcome!! can have brainliest?
Answer:
500
Step-by-step explanation:
Write the rate as a fraction in the simplest form $1680 for 8 weeks 236 miles on 12 gallons of gasoline
The question asked to write the rate as a fraction in simplest form
\(\text{ \$1,680 for 8 w}eeks\)To write the above relation in a fraction, we will have
\(\begin{gathered} =\frac{1680}{8} \\ \end{gathered}\)Dividing to the lowest term, we will have
\(\begin{gathered} =\frac{210}{1} \\ whichis\text{ \$210 for 1 we}ek \end{gathered}\)The question asked to write the rate as a fraction in simplest form
\(236\text{ miles on 12 gallons of gasoline}\)To write the above relation in a fraction, we will have
\(=\frac{236}{12}\)To express as a fraction in its lowest terms will be
\(\begin{gathered} =\frac{59}{3} \\ \text{which represents 59 miles for 3 gallons} \end{gathered}\)Adjust the number into correct standard form.
0.948 x 10^-1
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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The problem has been started for you. 8 StartLongDivisionSymbol 468 EndLongDivisionSymbol minus 40 = 68. 68 minus 64 to get a remainder of 4 and a quotient of 58. What is the quotient? A. 58 B. 58.5 C. 58.ModifyingAbove 5 with bar D. 59
Division is one of the four fundamental arithmetic operations. The quotient for this division is 58.5.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given the problem is been started, therefore, the division is done as 468÷8. Hence, the quotient for this division is 58.5.
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Answer:
58.5
Step-by-step explanation:
The manager of Lawn and Garden Services would like to estimate the proportion of her employees' time spent performing various gardening and lawn care activities. She has made 400 random observations of a typical worker, with the following results: Activity Time Observed Mowing 200 Trimming 80 Raking 40 Miscellaneous 80 What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion?
Answer:
The probability is 0
Step-by-step explanation:
Since proportion of time spent on mowing will be 200/400 = 0.5, there will be no chance that the true proportion of time spent mowing is exactly equal to the sample proportion. Where true proportion is 200 and sample is 400 . So the probability is 0.