Answer:
1. f. System of Equations
2. e. No solutions
3. i. One solution
4. h. Like Terms
5. b. Substitution
6. c. Solution
7. a. Elimination
8. d. Infinitely Many Solutions
9. g. Variable
10. j. Coefficients
Step-by-step explanation:
Ur welcome :)
The image below has the following translation: (x, y) → (x +4, y - 1)
Determine the ordered pair for F' after the translation.
a. F' (-1, 3)
b. F' (-9, 5)
c. F' (8, -6)
d. F' (4, -1)
Using the Rule of 70, what approximate interest rate would be needed for an investment of $14,000 to double by the end of 32 years?
The approximate interest rate needed for an investment of $14,000 to double by the end of 32 years is; 3.125%
Interest rateFrom. the task content, it follows that;
Interest = $14000Principal = $14000and Time = 32 years.From simple interest Formula;
14000 = 14000 × R × 32R = 1/32R = 0.03125
When expressed as a percentage, the interest rate is;
R = 3.125%Read more on interest rate;
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F(x) = 4x identify the zeros of the function algebraically
The function y = 40x describes the distance Shu Ling has traveled in miles after x hours. Use the graph to estimate how many miles Shu Ling will travel in 12 hours.
Answer: y = 40*12 = 480
Step-by-step explanation:
Enter the missing values in the area model for multiplication below
The value of the missing box in the given question is 300.
What are mathematical operations?Similar to the principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.So, 6 × 52 = 312
Then, 6 × 50 + 12?So,
6 × 50 + 12 = 312300 + 12 = 312= 312Therefore, the value of the missing box in the given question is 300.
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PLEASE HELP!!!!!
A. What is 4.186 rounded to the nearest tenth?
B. What is 2.758 rounded to the nearest tenth?
C. What is 72.05 rounded to the nearest tenth?
D. What is 45.64 rounded to the nearest tenth?
E. What is 82.156 rounded to the nearest tenth?
F. What is 41.31 rounded to the nearest tenth?
G. What is 29.16 rounded to the nearest tenth?
H. What is 17.054 rounded to the nearest tenth?
I. What is 11.65 rounded to the nearest tenth?
J. What is 0.83 rounded to the nearest tenth?
K. What is 29.16 rounded to the nearest tenth?
L. What is 12.48 rounded to the nearest tenth?
M. What is 0.91 rounded to the nearest tenth?
_______________________________________________________
N. What is 20.5 rounded to the nearest whole number?
O. What is 13.71 rounded to the nearest whole number?
P. What is 71.23 rounded to the nearest whole number?
Q. What is 36.57 rounded to the nearest whole number?
R. What is 17.89 rounded to the nearest whole number?
S. What is 50.147 rounded to the nearest whole number?
T. What is 19.05 rounded to the nearest whole number?
U. What is 7.61 rounded to the nearest whole number?
V. What is 92.38 rounded to the nearest whole number?
W. What is 57.25 rounded to the nearest whole number?
X. What is 16.3 rounded to the nearest whole number?
Y. What is 44.08 rounded to the nearest whole number?
Z. What is 17.9 rounded to the nearest whole number?
1. What is 9.06 rounded to the nearest whole number?
Given the figure below, find the values of x and z.
Answer:
x=6 and z=107
Step-by-step explanation:
From the figure or diagram we can say that
z+15x-17=180 ---(1)
z+11x+7=180 ---(2)
Subtracting (1) and (2)
z+15x-17-(z+11x+7)=180-180
4x-24=0
4x=24
x=6
Substitute x=6 in (2)
z+11(6)+7=180
z+66+7=180
z=180-73
z=107
Pls send only answers - no work
Answer:
No
Step-by-step explanation:
If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.
HELPP!!! ASAP!!! What is the domain of F(x) = 2|x-1| + 3?
O A.
{x | X23)
OB.
{x | x< 1)
O c.
{x | x5-1)
O D.
{x | x = all real numbers)
Answer:
D.
Step-by-step explanation:
The function is an absolute value. That just means that all the y-values (in this case) will be positive, but there is nothing that limits the x-values. So, D. {x | x = all real numbers}.
Hope this helps!
Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?
Answer: 3552
Step-by-step explanation:
888 times 4
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²
Which term has the definition "A relationship in which two variables change at the same rate
Reduce the ratio to its lowest form.
42 : 49
Answer:
6:7
Step-by-step explanation:
divide both sides by 7...
MATH CHALLENGE 30 POINTS
Hey guys, here’s a math challenge for u. Fill in the missing slots. All the rows, columns, and diagonals have to have the same sum. First person to get the correct answer will get brainliest and a thanks. Go!
Answer:
21 24 9
6 18 30
27 12 15
Step-by-step explanation:
Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
neeeeeeeeeeeeed help
Answer:
\(\huge\boxed{\fcolorbox{green}{pink}{Answer}}
\)
D. 34 lakh
Watch the video and then solve the problem given below.Click here to watch the video.Solve the inequality both algebraically and graphically. Give the solution in interval notation and draw it on a number line graph.x−54
Given the inequality below:
\(\frac{x-5}{4}<\frac{9}{5}\)Solving algebraically as shown below:
\(\begin{gathered} \frac{x-5}{4}<\frac{9}{5} \\ \text{Lcm of the denominator(4 and 5) is 20} \\ \text{mltiply through by the Lcm(20)} \\ 20\times\frac{(x-5)}{4}<20\times\frac{9}{5} \end{gathered}\)\(\begin{gathered} 5(x-5)<4\times9 \\ 5x-25<36 \\ 5x<36+25 \\ 5x<61 \\ x<\frac{61}{5} \\ x<12.2 \end{gathered}\)Solving graphically as shown below the plotting of x < 12.2
The number line graph is the number line showing x < 61/5, as shown below:
The interval notation of the solution is (- ∞, 61/5) or (- ∞, 12.2)
raise t to the 10th power then add the result to 3
The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3
How to write algebraic expressions?
An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.
Given: raise t to the 10th power then add the result to 3
Note: t is the variable here
Let's write algebraic expression now:
raise t to the 10th power => t¹⁰
then add the result to 3 => t¹⁰ + 3
Therefore, the algebraic expression is t¹⁰ + 3
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If m BOC = 30°, then m =30150330
step 1
Find out the measure of minor arc BC
If mBOC=30 degrees
then
minor arc BC=30 degrees ------> by a central angle
step 2
we have that
arc CAB+arc BC=360 degrees -----> by a complete circle
so
arc CAB+30=360
arc CAB=360-30
arc CAB=330 degreesSolve for x. Round to the nearest tenth, if necessary.
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
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Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Solve each equation by taking square roots. Give the answer in radical form, and then use a calculator to approximate the solution to two decimal places if necessary. A) (x+7)^2=64B) 5x^2+10=110
For part (a), using the square root property, take the square root of both sides of the equation. Thus, will eliminate the radical symbol on the left side of the equation.
\(\begin{gathered} x+7=\pm\sqrt[]{64} \\ x+7=\pm8 \end{gathered}\)Note that the right side will either be positive or negative. This is because when we square both 8 and -8, we will obtain 64.
From the obtained equation, subtract 7 from both sides.
\(x=\pm8-7\)Thus, we will obtain two possible values of x.
\(\begin{gathered} x=8-7=1 \\ \\ x=-8-7=-15 \end{gathered}\)Therefore, for part (a), the value of x is -15 or 1.
For part (b), isolate the variable term by subtracting 10 from both side of the equation.
\(\begin{gathered} 5x^2=110-10 \\ 5x^2=100 \end{gathered}\)Divide both sides of the equation by 5.
\(\begin{gathered} \frac{5x^2}{5}=\frac{100}{5} \\ x^2=20 \end{gathered}\)Similarly, take the square root of both sides of the equation by usng the square root property.
\(\begin{gathered} x=\pm\sqrt[]{20} \\ x\approx\pm4.47 \end{gathered}\)Therefore, for part (b), the value of x is either approximately -4.47 or 4.47.
Find the equation of the line with slope m=−1 that contains the point (5,−5).
Answer:
y = -x
Step-by-step explanation:
the formula for the equation of a straight line is:
y = mx + c
where m is the gradient (slope) of the line and c is the y-interxept
We are given the slope m = -1 and the point (5,-5)
y = -5, m = -1 and x = 5
Substitute these values into the equation to find c:
y = mx + c
-5 = -1(5) + c
-5 = -5 + c
-5 + 5 = c
c = 0
So the equation is:
y = -x
Which expression can be used to convert 100 USD to Japanese yen?
Answer:
The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)
You can use direct proportion to solve this:
If $1 is to Y99.30487 then what will $100 be equal to:
1 : 99.30487 Yen
100 : x
Cross multiply to get:
1x = 99.30487 Yen x 100
x = (99.30487 Yen x 100) / 1
Which can be written as:
= 100 ( 99.30487 Yen / 1)
In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)
Step-by-step explanation:
Help me plz i can't figure this out
Answer:
C
Step-by-step explanation:
For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!
Hope this helps, good luck! :)
The distance between two cities on a map is 25 inches. The actual distance between the two cities is 500 miles. How many miles would 35 inches be on the map?
1.75 miles
20 miles
510 miles
700 miles
35 inches on the map will translate to an actual distance of 700 miles (fourth option).
What is the distance in miles?The first step is to determine the scale of the map. In order to determine the scale, divide the actual distance between the two cities by the distance on the map.
Scale = distance between the two cities / distance on the map
Scale = 500 / 25 = 20
Now, multiply the distance on the map by the scale.
Distance in miles = 20 x 35 = 700 miles
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Answer:
35 inches on the map will translate to an actual distance of 700 miles (fourth option).What is the distance in miles?The first step is to determine the scale of the map. In order to determine the scale, divide the actual distance between the two cities by the distance on the map. Scale = distance between the two cities / distance on the map Scale = 500 / 25 = 20 Now, multiply the distance on the map by the scale. Distance in miles = 20 x 35 = 700 milesTo learn more about scale drawings, please check: brainly.com/question/26388230#SPJ1
Step-by-step explanation:
Last year, the Ross family spent $3,336 for electricity. They are opting to use balanced billing for next year. What will their monthly payment be?
Using balanced billing, the monthly payment is $278
What will be their monthly payment?Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.
Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:
Monthly payment = Total cost / Number of months
Monthly payment = $3,336 / 12
Monthly payment = $278
Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.
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What is the slope of a line parallel to the line 9x+3y = 2?
Answer:
-9 :)
Step-by-step explanation:
Please help. I tried and couldn’t solve it
Using the law of cosines, the measure of the angles are
α ≈ 127°
β ≈ 28°
γ ≈ 25°
Law of Cosines: Calculating the angles in a triangleFrom the question, we are to solve the triangle.
To solve the triangle, we will determine the value of the unknown angles.
Using the law of cosines, we can write that
cosα = (b² + c² - a²)/2bc
From the given information,
a = 34
b = 20
c = 18
Thus,
cosα = (20² + 18² - 34²)/2(20)(18)
cosα = -432/720
cosα = -0.6
α = cos⁻¹(-0.6)
α = 126.8699°
α ≈ 127°
Calculating angle β
cosβ = (a² + c² - b²)/2ac
cosβ = (34² + 18² - 20²)/2(34)(18)
cosβ = 1080/1224
β = cos⁻¹(1080/1224)
β = 28.0724°
β ≈ 28°
To determine angle γ
α + β + γ = 180° (Sum of angles in a triangle)
127° + 28° + γ = 180°
155 ° + γ = 180°
γ = 180° - 155°
γ ≈ 25°
Hence,
α ≈ 127°
β ≈ 28°
γ ≈ 25°
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