Answer:
14
Step-by-step explanation:
To evaluate, substitute x = 5 into the expression, that is
5² - 3(5) + 4 = 25 - 15 + 4 = 14
1-3 Calculating a Weekly Time Card
Is that the question?
1.
If'C is the midpoint of the line segment joining points A(4,1) and
B(2,3), then y-coordinate of point ' C is 4
TRUE
FALSE
Answer:
false
Step-by-step explanation:
Answer:false
Step-by-step explanation:
2/5 in fraction form
Answer:
2/5 is already a fraction.... it's an improper fraction.
Last week, a candy store sold 6 1/3 pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Answer:C
Step-by-step explanation:
Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C
Answer:
25 1/3 C
Step-by-step explanation:
What is annual simple interest
Answer:
_____________________________________
The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.
_____________________________________
Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2
Answer:
Solutions:
[tex]x=-7[/tex]
[tex]x=4[/tex]
Step-by-step explanation:
[tex](x-2)(x + 5) = 18[/tex]
Expanding the factored form:
[tex]x^2+5x-2x-10=18[/tex]
[tex]x^2+3x-28=0[/tex]
Factoring the second-degree polynomial:
[tex](x+7)(x-4)=0[/tex]
This is true for
[tex]x=-7 \text{ or } x=4[/tex]
Answer:
B
Step-by-step explanation:
find the value of X and y from the figure
Answer:
180° = x + (2x -15)
180°=3x-15
3x = 195
x =65°
x + y = 180°
65+ y= 180°
y = 115°
Answer:
x = 65, y = 115
Step-by-step explanation:
x and 2x - 15 are adjacent angles and supplementary, thus
2x - 15 + x = 180
3x - 15 = 180 ( add 15 to both sides )
3x = 195 ( divide both sides by 3 )
x = 65
y and 2x - 15 are congruent ( alternate angles ), thus
y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115
What is the degree of the following Polynomial? 6xy4 - 3x3 - 4
Answer:
5th degree polynomial
Step-by-step explanation:
The degree of a polynomial is the highest sum of the exponents in one term.
So we have the polynomial:
[tex]6xy^4-3x^3-4[/tex]
Calculate the degree of each term:
1st Term:
[tex]6xy^4[/tex]
This is the same as:
[tex]6x^1y^4[/tex]
So, our degree is 1+4=5.
2nd Term:
[tex]-3x^3[/tex]
There is only one variable. So, the degree is 3.
3rd Term:
[tex]-4[/tex]
This is the same as:
[tex]-4x^0[/tex]
So, this is a zeroth degree.
The largest degree is 5.
So, this is a fifth degree polynomial.
Notes:
To be more specific, this is a fifth degree trinomial.
Answer:
third degree
Step-by-step explanation:
it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation
What is the missing reason in the proof?
HELP!! ASAP
Answer:
c mark me as brainliest
Step-by-step explanation:
one less than the quotient of a number and -5
Answer:
(-x/5) - 1
Step-by-step explanation:
Step 1: Translate word into math
one less = - 1
quotient of a number and -5 = x/-5
Step 2: Combine
(x/-5) - 1
Step 3: Simplify
(-x/5) - 1
Is the expression X^3 equivalent to X^3•3•3
Answer:
I think if you take the x out it would be equivalent
Step-by-step explanation:
3•3•3
Explain the 2 different answers you can get when solving an equation and the variable is eliminated.
When you're solving an equation, there are three possibilities. Two of which are chosen if your statement is true or not.
If you're able to get x alone, there is one solution. However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.
If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.
the marked price of
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
min of
Answer:
MP = Rs. 1500
SP = Rs. 1230
Step-by-step explanation:
Let the Cost Price (CP) be x
Then Market Price (MP):
MP = x+ 20% = 1.2xDiscounted Selling Price (SP):
SP = MP - 18% = 0.82*1.2x = 0.984xSince the difference between CP and SP is Rs.20:
x - 0.984x = 200.016x = 20x= 20/0.016x = 1250Then:
MP = 1.2*1250= Rs. 1500and
SP = 1500*0.82 = Rs. 1230Warm-Up 2: Three different animals were given a certain amount of money. A
bird was given $9.00, an octopus was given $36.00, and a bee was given $27.00.
Based on that information, how money would a dog be given? Explain and show
your thinking
Is this the full question?
Which of the following options have the same value as 10% of 332
Choose 3 answers:
Answer:
33.2
Step-by-step explanation:
Multiply 332 by 0.1
or 332/10=33.2
(3)zach wishes to accumulate $50,000 in a fund at the end of 20 years. if he deposits $100 + x in the fund at the end of every 3 months for the first 10 years and $100 in the fund at the end of every 3 months for the second 10 years, find x to the nearest dollar if i(4) = .04. (ans $519.79)
Answer:
$519.79
Step-by-step explanation:
The formula is:
[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]
[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex] [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]
[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]
(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000
(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000
(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000
(100+x) (48.886373) (1.488864) + 4888.64 = 50000
(100+x) (72.785161) + 4888.64 = 50000
7278.5161 + 72.785161 x + 4888.64 = 50000
12167.1561 + 72.785161 x = 50000
72.785161 x = 50000 - 12167.1561
72.785161 x = 37832.8439
x = 37832.8439 / 72.785161
x = 519.787871
x = $519.79
Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters
Answer:
a. [tex]T = 17s[/tex]
b. [tex]D = 72cm[/tex]
Step-by-step explanation:
Given
Direct Variation
[tex]Distance(D)\ \alpha\ Time (T)[/tex]
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
[tex]D\ \alpha\ T[/tex]
[tex]D = kT[/tex]
Make k the subject of formula
[tex]k = \frac{D}{T}[/tex]
D = 264 cm when T = 11 s; So
[tex]k = \frac{264}{11}[/tex]
[tex]k = 24[/tex]
So: Solving for (a)
[tex]D = 408[/tex]
Substitute 408 for D and 24 for k in [tex]D = kT[/tex]
[tex]408 = 24 * T[/tex]
Divide both sides by 24
[tex]\frac{408}{24} = T[/tex]
[tex]T = \frac{408}{24}[/tex]
[tex]T = 17s[/tex]
Hence, time to move a distance of 408cm is 17s
Calculating (b)
[tex]T = 3[/tex]
Substitute 3 for T and 24 for k in [tex]D = kT[/tex]
[tex]D = 24 * 3[/tex]
[tex]D = 72cm[/tex]
Hence, distance covered in 3 seconds is 72cm
Write an absolute value equation that has solution x = -6 and x = 10
Answer:
|x - 2| = 8
Step-by-step explanation:
The midpoint between -6 and 10 is;
(-6 + 10)/2 = 4/2 = 2
This means that the distance between 2 and either -6 or 10 will be 8.
Now, the absolute value equation will have to say that the distance between x and 2 is 8.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation:
|x - 2| = 8
PLEASE HELP BRAINLIEST PLUS 5 STARS FOR ANSWER INCLUDE EXPLANATIONS PLZZZZZZZZZZZZZZZZZ
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
For every paycheck you receive, your employer pays 6% to social security. Write this percent as a ratio with a denominator of 100.
Answer:
6/100
Step-by-step explanation:
Since x% means x/100, that means 6% = 6/100.
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Consider the tile pattern below. Completely describe what figure 100will look like. How many tiles will be in figure 100? Explain how you know
Answer:
101 up on the left
100 up on right
6 across the bottom
Step-by-step explanation:
their is always six along the bottom
up on the right is whateve number the figure is it increase one everytime
101 up on the left because figure one stats with 2 and from their one is added
The solution is
a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile
b) The number of tiles in figure 100 will be 601 tiles
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the figure 100 be represented as = a₁₀₀
Let the number of tiles in the first figure be a₁
The value of a₁ = 7 tiles
Let the number of tiles in the second figure be a₂
The value of a₂ = 13 tiles
So , the common difference of the arithmetic sequence is d
d = second term - first term
d = 13 - 7
d = 6
Now , the value of figure a₁₀₀ is calculated by the formula
Tn = a + (n - 1) d
Substituting the values in the equation , we get
a₁₀₀ = 7 + ( 100 - 1 ) 6
a₁₀₀ = 7 + ( 99 x 6 )
a₁₀₀ = 7 + 594
The value of a₁₀₀ = 601
Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile
And , the total number of tiles in the figure is 601 tiles
Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and
the number of tiles in figure 100 will be 601 tiles
To learn more about arithmetic progression click :
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51.68 feet per hour. Convert this speed to inches per minute.
Answer:
10.336.
Step-by-step explanation:
There are 12 inches in 1 foot so 51.68 ft/hr
= 51.68 * 12 in/hr.
Now there are 60 minutes in an hour so the speed in inches/minute
= 51.68 * 12 / 60
= 10.336.
13f + 6 -f = -3
help?
Answer:
f = -3/4
Step-by-step explanation:
13f + 6 -f = -3
Combine like terms
12f +6 = -3
Subtract 6 from each side
12f+6-6 = -3-6
12f = -9
Divide each side by 12
12f/12 = -9/12
f = -3/4
Answer:
f= -3/4 or -0.75
Step-by-step explanation:
We are given the equation:
13f + 6 -f = -3
First, let's combine like terms. Subtract f from 13f.
(13f-f) + 6 = -3
12f + 6= -3
We want to find f. Therefore, we must isolate the variable on one side of the equation.
6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
12f + 6 -6 = -3-6
12f= -3-6
12f= -9
f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.
12f/12= -9/12
f= -9/12
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
f = (-9/3) / (12/3)
f= -3/4
f=-0.75
The solution to the equation is f= -3/4 or -0.75
can you draw a triangle with 90 degrees 60 degrees and 60 degrees
Answer:
no
Step-by-step explanation:
the sum of interior angles of a triangle should be 180
so the three possible angles would be 90 degree 60 degree and 30 degree
Answer:
[tex]\huge\boxed{\sf NO.}[/tex]
Step-by-step explanation:
The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.
Let's check if 90°,60° and 60° are adding to 180°.
=> 90+60+60
=> 210° > 180°
Since they are not adding to 180°, a triangle with the given angles cannot be formed.
Ugh, I hate math but... I got to stay positive... PLEASE HELP ME
Answer:
h(4)= -2
Step-by-step explanation:
plug in 4 into the x:
h(4)=-4+2=-2
Solve for x (image below)
Answer:
-12
Step-by-step explanation:
2x+29+8=×+25
Solve for x
What is the range of the function represented by these ordered pairs?
Answer:
B
Step-by-step explanation:
The range of a data set is the y-coordinates of the ordered pairs.
So, we have the ordered pairs:
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
So, the range will be (the bolded numbers):
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
Thus, our answer is:
{-1, 0, 1, 7}
Note that the range should be in ascending order.
Also note that even though 7 appears twice, 7 is 7, so we only put one 7.
The answer is B.
I need help with this!!!
Answer:
1. quarant 2
2. quadrant 1
3. quadrant 2
4. quadrant 4
5. quadrant 4
6. quadrant 2
7.quadrant 2
8. quadrant 3
Step-by-step explanation:
A vehicle covers of 43.2km in 2.4liters of petrol .How much distance will it cover in 1 liter of petrol
Answer:
18kmStep-by-step explanation:
[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]
HELP WILL MARK BRAINLIEST HEEEELPPP!!!!!!!!! Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?
Answer:
13 minutes
Step-by-step explanation:
Person 1: 1 min
Person 2: 2 min
Person 3: 7 min
Person 4: 10 min
Person 1, 3, and 4 cross first, which will take 10 minutes.
Then, Person 1 comes back, taking 1 minute.
Person 1 and Person 2 cross the river, taking 2 minutes.
10 + 1 + 2 = 13 minutes.