1
Find the values of x and y.
(7y-4)°
59⁰
(3y - 5)°
(12x + 3)º
The values of x and y are;
x = 19/12°y = 9°What is termed as the linear equation in two variable?If a, b, and r are all real numbers that are not equal to zero, then;
ax + by = c depicts a two-variable linear equation.
The equation's two variables are signified by x and y. The coefficients are represented by the numbers a and b.The standard form of a two-variable linear equation: ax + by = c.In the above equation, the number 'c' is referred to as the constant.As demonstrated in the following example, a linear equation with two variables does have three entities:12x - 3y = 15 and 12x - 24y = 7 are examples of two-variable linear equations.For the given equations;
(7y-4)° = 59⁰ and (3y - 5)° = (12x + 3)º
Consider (7y-4)° = 59⁰;
Simplifying;
7y = 59 + 4
7y = 63
y = 9
Put y = 9 in the second equation;
(12x + 3)º = (3y - 5)°
12x + 3 = 3×9 - 5
Further simplifying;
12x = 27 - 8
12x = 19
x = 19/12
Thus, the values obtained for x and y are x = 19/12° and y = 9°.
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The correct question is-
Find the values of x and y.
(7y-4)° = 59⁰
(3y - 5)° = (12x + 3)º
The product of two number is -100. One of the factor is less than 10 and more than 0
The given problem has 4 different solutions as below.
(1, -100)(2, -50)(4, -25)(5, -20)Given that the product of the two numbers is -100.
And one of the factors is less than 10 and more than 0.
Assume c and d are the two required numbers.
Then we have cd = -100, here 0 < c <10.
We know that the factors of 100, which are less than 10 and greater than 0 are 1, 2, 4, and 5.
When c = 1, we get 1 x d = -100 ⇒ d = -100
When c = 2, we get 2 x d = -100 ⇒ d = -100/2 = -50
When c = 4, we get 4 x d = -100 ⇒ d = -100/4 = -25
When c = 5, we get 5 x d = -100 ⇒ d = -100/5 = -20
So, the other factors corresponding to the above factors are -100, -50, -25, and -20.
Therefore, the given problem has 4 different solutions as below.
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An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing?
The length of the building in the scale drawing is 31. 25 Inches
How to determine the value
From the information given, we have that;
Scale drawing was used0. 25 inches represents 2 feetThe length of the building is 250 feetThen,
If 0. 25 inches = 2 feet
Then x inches = 250 feet
cross multiply
x × 2 = 0. 25 × 2500
Multiply through, we have;
2x = 62. 5
Make 'x' the subject by dividing both sides by 2
2x/2 = 62. 5/ 2
x = 31. 25 Inches
Thus, the length of the building in the scale drawing is 31. 25 Inches
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Answer:
Step-by-step explanation:
31.25
PLS PLS PLS PLS PLS PLS
Answer:
D. (-2, -8)
Step-by-step explanation:
y = 3x - 2
y = 5x + 2
The solution to these system of equations is the point where the lines intersect.
These lines intersect at (-2, -8)
When a denominator is greater then numerator does the cutting fraction stop there?or it can still be reduced
Answer:
it can be reduce by turning into a mixed number.
The expression √81-√100 represents the number of feet between home plate and first base. What is the distance, in feet, between home plate and first base?
The distance between home plate and first base is -1 feet
How to determine the numberFrom the information given, we have that;
The expression for the number of feet between home plate and first base is given as;
√81-√100
Where;
√81 is the number of feet at home plate√100 is the number of feet at the first baseTo determine the distance, we take find the square root of the numbers and substitute, we have;
9 - 10
Find the difference
-1 feet
Thus, the distance between home plate and first base is -1 feet
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Which kind of symmetry does the letter D have?
Answer:
D has a horizontal symmetry.
1.00 *10³ + 4.235 *10*
either 1042.35 or 1.04235*10^3
The cheerleaders want to raise money to go to camp, so they decide to sell spirit ribbons. They will earn 50¢ for each ribbon that they sell. However, they have to purchase the ribbons first for a total cost of $75. Use the table below to figure their total profit from selling ribbons.
What is the total profit after selling 0 ribbons?
Using a linear function, we have that:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, when x increases by 10, the profit increases by 5, hence the slope is:
m = 5/10 = 0.5.
Then:
P(x) = 0.5x + b.
When x = 10, P(x) = -70, hence:
-70 = 0.5(10) + b
b = -75.
Hence:
The rule is P(x) = 0.5x - 75.The total profit after selling 0 ribbons is of -$0.75.More can be learned about linear functions at https://brainly.com/question/24808124
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4 .3
is V = πr³, wh
3
what is the formula in terms of r? please help
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
What is volume?
Volume is a measure of enthralled three-dimensional space.It's frequently quantified numerically using SI-deduced units or by colorful Homeric units( similar to the gallon, quart, boxy inch). The description of length( cubed) is interrelated with volume. The volume of a vessel is generally understood to be the capacity of the vessel; i.e., the quantum of fluid( gas or liquid) that the vessel could hold, rather than the quantum of space the vessel itself displaces.In ancient times, volume is measured using analogous-structured natural holders and latterly on, standardized holders. Some simple three-dimensional shapes can have their volume fluently calculated using computation formulas. Volumes of more complicated shapes can be calculated with integral math if a formula exists for the shape's boundary.Volume, V = [tex]\pi r^3[/tex]
Rearranging,
r =[tex]\sqrt[3]{\frac{V}{\pi } }[/tex]
The rearranged formula for volume in terms of radius,r is [tex]\sqrt[3]{\frac{V}{\pi } }[/tex].
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Complete the standard form equation representing the quadratic relationship displayed above, where a,b, and c are consonants.
Answer:
y = - 2x² + 8x + 5
Step-by-step explanation:
the equation of a quadratic function in standard form is
y = ax² + bx + c ( a ≠ 0 )
to find a, b and c use ordered pairs from the table
(0, 5 )
5 = a(0)² + b(0) + c = 0 + 0 + c = 5 ⇒ c = 5 , then
y = ax² + bx + 5
(1, 11 )
11 = a(1)² + b(1) + 5 = a + b + 5 ( subtract 5 from both sides )
a + b = 6 → (1)
(2, 13 )
13 = a(2)² + b(2) + 5 = 4a + 2b + 5 ( subtract 5 from both sides )
4a + 2b = 8 → (2)
solve the 2 equations simultaneously to find a and b
multiplying (1) by - 2 and adding to (2) will eliminate b
- 2a - 2b = - 12 → (3)
add (2) and (3) term by term to eliminate b
2a + 0 = - 4
2a = - 4 ( divide both sides by 2 )
a = - 2
substitute a = - 2 into (1) and solve for b
- 2 + b = 6 ( add 2 to both sides )
b = 8
then a = - 2, b = 8 and c = 5 gives the standard quadratic function
y = - 2x² + 8x + 5
Step-by-step explanation:
standard equation would be
y = ax² + bx + c
out of that we know already from (0, 5) that c = 5, as
a×0² + b×0 + c = 5.
because of (-1, -5) we see
-5 = a×1 + b×-1 + 5 = a - b + 5
-10 = a - b
or
a = b - 10
because of (1, 11) we see
11 = a×1 + b×1 + 5 = a + b + 5
6 = a + b
now we use the previous equation :
6 = (b - 10) + b = 2b - 10
16 = 2b
b = 8
.
a = b - 10 = 8 - 10 = -2
so, our standard equation is
y = -2x² + 8x + 5
5. What is the height of a triangle that has an area of 90 m² and a base with a length of 18 m?
Answer:
h = 10m
Step-by-step explanation:
[tex]A=\frac{bh}{2}[/tex]
[tex]90=\frac{18h}{2}[/tex]
[tex]18h=(90)(2)[/tex]
[tex]h=\frac{180}{18} =10[/tex]
Hope this helps
a house is drawn to the scale of 1/4in = 5 ft. Its rectangular kitchen measures
4.5 inches by 6.5 inches on the blueprints. What is the actual length and width of the kitchen?
Find the actual area of the kitchen.
Answer:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.use a piecewise function to represent the taxi fare in terms of distance d in meter?
The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 ×[tex]\frac{d-500}{300}[/tex] + 40 .
According to the question,
For first 500 meters cost is 40.00 and For each additional 300 meters cost is 3.50 .
Let, the total distance of taxi ride = d meters
Now, representing the equation of taxi fare in terms of distance when distance is less than 500
taxi fare = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
∴ f(d) = 3.50 × [tex]\frac{d-500}{300}[/tex] + 40
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Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil? 5,730 years old 34,380 years old 40,110 years old 45,840 years old?
Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
What is calibration?Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy in measurement technology and metrology. A standard could be another known-accuracy measurement device, a device that generates the quantity to be measured, such as a voltage or a sound tone, or a physical artifact, such as a meter ruler. Calibration's goal is to reduce measurement uncertainty by ensuring the accuracy of test equipment. Calibration quantifies and controls measurement errors or uncertainties to an acceptable level.So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.
Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.
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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?
a. 5,730 years old
b. 34,380 years old
c. 40,110 years old
d. 45,840 years old
solve 2/43=t/13 a. 2/559 b. 43/26 c.559/2 dm 26/43
Option D 26/43 .
Given equation 2/43=t/13
To solve these type of question we have to follow some steps
that are as follows
Multiply all terms by the same value to eliminate fraction denominators
same value is 559 ....so multiply with 559 both sides
2/43=t/13
559×2/43 = 559×t/13 (by multiplying in LHS and RHS with same value)
Cancel multiplied terms that are in the denominator
13 ×2=43t
Multiply the numbers
26=43t
Divide both sides by the same factor
26/43=43t/43
Simplify
Cancel terms that are in both the numerator and denominator
Move the variable to the left
t=26/43 is the answer.
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help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. [tex](x-6)^{2}[/tex]
2. [tex](x +11)^2[/tex]
3. [tex](x-4y)^{2}[/tex]
4. [tex](5x - y)^2[/tex]
Step-by-step explanation:
1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]
2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]
3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]
4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]
Write a multi-way selection statement that adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
The solution is shown below:
What is multi-way selection?In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.
Given condition:
adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
if age < 18:
minors += 1
else if age < 65:
adults += 1
else:
seniors += 1
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Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .
The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
The first number will be 9 and the second number will be 98.
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According to the sliding filament model, which of these gets shorter during muscle contraction? (choose all that apply)
The required result of the sliding filament model given below.
What is the sliding filament model?The mechanism by which muscles contract is described by the sliding filament model. Actin and myosin myofilaments move over one another as a result of a cycle of repeated occurrences, constricting the sarcomere and creating tension in the muscle.
The A band is the middle, darkly pigmented area of the sarcomere that runs the entire length of the thick filaments. The portion of the thin filaments that cross over the thick filaments is also included. The I band is formed by the remaining thin filaments within the sarcomere but not by any thick filaments. Each A band has a narrow region in the middle called the H zone, which is made up entirely of dense filaments.
Myosin heads pull the thin filaments in the direction of the M line during muscle contraction. Because of this, the thin filaments glide inward, allowing their ends to overlap and connect at the sarcomere's core. The I band and H zone become smaller as a result.
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Add. (x^2+1−4x^3+3x^4)+(−x^2−2x^4+x^3+4) Express the answer in standard form.
Answer:
x^4−3x^3+5
Step-by-step explanation:
Simplify the answer and convert it to standard form.
Answer: ANSWER
The simplified polynomial in standard form is
EXPLANATION
The given expression is
We group the terms with the same exponents,
We simplify to obtain,
Since the expression is a polynomial, writing it in standard form means writing the simplified form in descending powers of x.
Step-by-step explanation: gl
A thief steals an atm card and must randomly guess the correct -digit pin code from a -key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?.
The probability of a correct guess on the first try is 0.024%.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
A number between 0 and 1 is the probability of an event.
where,
P(E) = Number of Favorable Outcomes/Number of Total Outcomes
Because a thief steals an ATM card and must randomly guess the correct four-digit pin code from an eight-key keypad, and digit repetition is permitted, the following calculation must be performed to determine the probability of a correct guess on the first try:
8 [tex]*[/tex] 8 [tex]*[/tex] 8 [tex]*[/tex] 8 = X
[tex]8 ^ {4 }[/tex] = X
simplifying the above equation, we get
4096 = X
1/4096 = X
0.000244140625 = X
0.000244140625 [tex]*[/tex] 100 = 0.024%
Therefore, the probability of a correct guess on the first try is 0.024%.
The complete question is;
A thief steals an atm card and must randomly guess the correct four-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?
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Here is a liner equation in two variables 2x + 4y - 31 = 123 determine whether each statement is true or false. the equation solved for x is x = 154 - 4y true or false ?
the equation solved for y is y = 77-x- 2 true or false ?
Answer:
Both sentences are false.
Step-by-step explanation:
Let's solve for x:
2x + 4y - 31 = 123
2x = 123 - 4y + 31
2x = 154 - 4y
x = 77 - 2y
Let's solve for y:
x = 77 - 2y
2y = 77 - x
y = 38.5 - 0.5x
LESSON 2: STAYING SHARP
PRACTICING SKILLS & CONCEPTS
1. Write the numbers of dots in the next three steps of
this pattern:
1
6
10
15
2. W
Ar
Ev
Answer:
Step-by-step explanation:
1
6
10
15
id
id
Mr. Sullivan's employer withheld $19,342.19 in federal income tax. After completing his return, Elsner has determined that his tax is $23,945.22. Will he get a refund, or does he owe the IRS and how much? Use a negative number to represent a refund and a positive amount to represent additional taxes owed. Round to the nearest penny.
HHe will owe the IRS and the amount is $4603.03
In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.
Elsner has determined that his tax is $23,945.22
We need to find whether he get a refund, or he owes the IRS.
From given information,
Employer withheld in federal taxes last year = $19,342.19
His tax amount is $23,945.22
So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19
So, the additional taxes would be,
$23,945.22 - $19,342.19 = $4603.03
This difference represent the additional taxes owed.
Therefore, he will owe the IRS and the amount is $4603.03
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What ratio is equivalent to 18:3 and 6:1
Answer:
12:2
Step-by-step explanation:
THIS IS TRUE AND EASY
Answer:
12:2
24:4
30:5
36:6
42:7
Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best
taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How
many miles will a person travel in order to spend an equal amount of money using either
service?
Answer:
30
Step-by-step explanation:
3+0.2x
3(2)+0.1x
8.1
26
The product of 3 and the sum of 11 and a number
Answer:
let the number be x
3×(x+11)
3x+33
Twice a number minus 4 equals twelve. Find the #
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Which type of cable is uses a two-number designator consisting of core and cladding measurements?
Fiber optic type of cable is uses a two-number designator consisting of core and cladding measurements.
What does fiber optics serve?
Fiber optics are used for long-distance and high-performance data networking. It is often used in other telecommunications services as well, including internet, television, and telephones.What methods are used to deploy fiber optics?
Installing fiber optic cable indoors or outdoors can be done using a variety of installation methods. Outdoor cable can be buried or placed in between poles. It may also be blasted or dragged into an innerduct or conduit.Can fiber optics compete with the internet?
When compared to normal cable internet and DSL, fiber optic internet is about 20 and 80 times faster. Fiber is the best choice for the majority of internet users because it only costs $10 to $20 more each month.Learn more about fiber optics
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