The answer of [tex](4)(4) -4(-5)(-1)[/tex] is [tex]-4[/tex]
We are supposed to find the answer of [tex](4)(4) -4(-5)(-1)[/tex].
This question is a classic example of the BODMAS rule in mathematics.
According to this rule, first we solve the sum inside bracket (be it any operation like division, multiplication, addition or subtraction) then division operation if present in the question followed by multiplication then addition and followed by subtraction.
Here in the question given [tex](4)(4) -4(-5)(-1)[/tex], we use BODMAS to solve it.
Let x be the answer of the above question, Therefore
[tex]x=(4)(4) -4(-5)(-1) \\x=(4*4)-4(5)\\x=(16)-(20)\\x=(16-20)\\x=-4[/tex]
Therefore[tex](4)(4) -4(-5)(-1)[/tex] = -[tex]4[/tex]
BODMAS: The BODMAS rule follows the order of the BODMAS abbreviated for B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction. The BODMAS rule states that mathematical expressions with more than one operators need to be solved from left to right in the order of BODMAS.Want to learn more about BODMAS? Click on the link given below.
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O Solve questions Pg #61 Prá
1 Correct 78. 4695 to
a) 1 decimal place.
c) the nearest hundredth
The number corrected to 1 decimal place is 78.5
The number corrected to the nearest hundredth is 78.47
EstimationFrom the question, we are to estimate the given number to the nearest 1 decimal place
The given number is
78.4695
Correcting to 1 decimal place
In the given number, we can observe that the hundredth digit is greater than 5, thus we will add 1 to the tenth digit
Thus,
78.4695 corrected to 1 decimal place is 78.5
Correcting to the nearest hundredth
The thousand digit is greater than 5, thus we will add 1 to the hundredth digit
Thus,
78.4695 corrected to the nearest hundredth is 78.47
Hence,
The number corrected to 1 decimal place is 78.5
The number corrected to the nearest hundredth is 78.47
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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
thirty-four and twelve hundredths is standard form
34.12
{thirty four, (34) and, (decimal) twelve hundredths (.12)}.
So it would end up being 3412. Hope i helped!
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
x - 4y=-20
x - 4y=-26
Answer:
x − 4y = −20x − 4y = −26
Step-by-step explanation:
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
How many ounces of a 12% alcohol solution must be mixed with 9 ounces of a 20% alcohol solution to make a 16% alcohol solution?
Answer:
9 ounces
Step-by-step explanation:
Let x = number of ounces of 12% solution.
0.12x + 0.2 × 9 = 0.16(x + 9)
0.12x + 1.8 = 0.16x + 1.44
-0.04x = -0.36
x = 9
Answer: 9 ounces
Pleaseeeee I really need some help here
Answer:
a) 17 b)22
Step-by-step explanation:
a) 3 - (-14)
Negative minus Negative is positive so we get
3+14
which is
17
drawing that on the number line:
<-20---------------0-------------17--20>
b) -36 + 58
we can rearrange the numbers to get
58-36
which is equal to
22
drawing that on the number line:
<-20---------------0---------------20--22>
if this was helpful pls give me brainliest <3
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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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
Triangle BCD is rotated 80° clockwise about the origin to form ΔKLM. If m∠KLM = 30°, what is m∠BCD?
A.
80°
B.
110°
C.
50°
D.
30°
Loren already knows that he will have $500,000 when he retires. If he sets up a payoutannuity for 30 years in an account paying 10% interest, how much could the annuity provideeach month?
The annuity could pay $221.19 per month.
ANNUITY FORMULA: [tex]P_t=\frac{d\left[\left(1+\frac{s}{n}\right)^{n t}-1\right]}{\frac{s}{n}}[/tex]
Where,
[tex]P_t[/tex] is the account balance after t years.The regular deposit (the amount you deposit each year or month) is denoted by d.r denotes the annual interest rate in decimal form.n represents the number of compounding periods in a year.t consider the number of years.So,
Loren anticipates having $500,000 when he retires.
[tex]P_t[/tex] = $500,000He establishes a 30-year payout annuity at a 10%interest.
t = 30 years r = (10/100) = 0.1Each month, the annuity could provide
n = 2In the formula, replace the above values as follows:
500,000 [tex]=\frac{d\left[\left(1+\frac{1.1}{12}\right)^{(12)(30)}-1\right]}{\frac{11-1}{12}}[/tex]500,000 [tex]=\frac{d\left[(1.00833333)^{300}-1\right]}{0.00833333}[/tex]500,000 = d [2260.487925]Now, divide both sides by: 2260.487925
d = $221.19Therefore, the annuity could pay $221.19 per month.
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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 HELPPP
identify the graph of the ellipse.
[tex]\frac{(x-3)^{2} }{16} +\frac{y-4^{2} }{9} =1[/tex]
The correct graph of the ellipse is identified and attached below.
Given the equation is (x₋3)²/16 ₊ (y₋4)²/9 = 1
step 1: identify the center (h,k) of the ellipse in standard form:
(x₋h)²/a² ₊ (y₋k)²/b² = 1
In the standard form of an ellipse, notice that there is a minus sign in front of the h and k.
In our equation (x₋3)²/16 ₊ (y₋4)²/9 = 1 , we have:
h = 3 and k = 4
Therefore, center (h,k) = (3,4)
Step 2: Identify the orientation by determining the major axis and minor axis in (x₋h)²/a² ₊ (y₋k)²/b² = 1
if a>b, the major axis is horizontal and the minor axis is vertical, making the ellipse a horizontal ellipse.
if a<b, the minor axis is horizontal and the major axis is vertical, making the ellipse a vertical ellipse.
For (x₋3)²/16 ₊ (y₋4)²/9 = 1
a² = 16, a = 4 and b² = 9 , b = 3
so, 4>3, the major axis is horizontal and the minor axis is vertical, making the ellipse a horizontal ellipse.
Step 3:
Plot the co-vertices along the minor axis and the vertices along the main axis (endpoints). No matter which way around, draw points a horizontal distance of a to the left and right from the center and points b above and below the center.
Therefore the vertices are marked along the major axis.
vertices are (3,7) and (3,1)
and co vertices are marked along the minor axis
co vertices are (₋1,4 ) and (7,4)
step 4: connect the vertices and co vertices making a smooth horizontal ellipse.
Hence a horizontal ellipse is made.
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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
Suppose that the ratio of males to females in the sales field of a large company is 4:5. if there
are 81 sales representatives in the company, how many are male and how many are female?
There are 36 males and 45 females in the sales field.
Ratio of the number:
Ratios compare two numbers, usually by dividing them.
For example,
If you are comparing one data point (A) to another data point (B), your formula would be
=> A/B.
This means you are dividing information A by information B.
Given.
Suppose that the ratio of males to females in the sales field of a large company is 4:5.
Total number of representatives = 81.
Now, we need to find the number of males and number of females.
Let x be the number of representatives.
So, based on the ratio we have written this as,
=> 4x : 5x = 81
So, the total number of representatives is,
=> 4x + 5x = 81
=> 9x = 81
=> x = 81/9
=> x = 9
So, the number of males is
=> 4x => 4(9) = 36
And the number of females is,
=> 5x => 5(9) = 45
Therefore, there are 36 males and 45 females in the sales field.
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Janet rents a car while spending her vacation traveling in Argentina. When she returns the car, she has driven 1400 miles and used about 56 gallons of gas. If gas costs an average of $4.099 per gallon, estimate how much she spent on fuel.
Janet spent $230 on fuel
How to calculate the amount of money spent on fuel ?Janet rented a car to travel to Argentina
After the journey, she discovered that she had driven 1400 miles and used 56 gallons of gas
The gas costs $4.099 per gallon
Therefore the amount Janet spent thought out the journey for fuel can be calculated as follows
= 4.099 × 56
= 229.5
= 230
Hence when estimated, Janet spent $230 on fuel
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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]
The product of 3 and the sum of 11 and a number
Answer:
let the number be x
3×(x+11)
3x+33
Rewrite (4^7)^3 using a single exponent
Answer:
[tex]4^{21}[/tex]
Step-by-step explanation:
7 * 3 = 21
Add it as the exponent.
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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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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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
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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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
Jeff makes $25 per Nike and $50 per Adidas sold at Foot Locker. Jeff can get no more than
20 shoes per week. He wants to make at least $100 a week. Write the system of inequalities to represent this scenario where x represents Nike
and y represents Adidas.
Answer: 4 Nike shoes a week
Step-by-step explanation:
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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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)
What is 210 divided by 5
Answer:42
Step-by-step explanation: