He can find out by using mathematical operation - subtraction.
What are Mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied. A constant is an operation with arity zero, often known as a nullary operation. An example of an operation of arity 3, sometimes known as a ternary operation, is the mixed product.
The arity is typically assumed to be limited. Even yet, infinitary operations are occasionally taken into account, in which case the "typical" operations of finite dimensionality are referred to as finiteary operations.
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Michelle has an average score of 70 for three tests.
What must she score on the next test to increase her average to 74?
Answer:
86
Step-by-step explanation:
average is calculated as
average = [tex]\frac{sum}{count}[/tex]
given her average was 70 in 3 tests , then
[tex]\frac{sum}{3}[/tex] = 70 ( multiply both sides by 3 )
sum = 210
let the score she must get in test 4 be x for an average of 74 , then
[tex]\frac{210+x}{4}[/tex] = 74 ( multiply both sides by 4 )
210 + x = 296 ( subtract 210 from both sides )
x = 86
she must score 86 in her next test
Answer:
[tex]\frac{x}{3}[/tex]= 70
x=210
[tex]\frac{210+x}{4}[/tex] = 74
210+x=74x4
210+x=296
x=296-210
x=86
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On a coordinate plane, a dashed straight line with negative slope goes through (0, 1) and (2, negative 2). Everything to the left of the line is shaded.
Which inequality is represented by the graph?
y > Negative two-thirdsx + 1
y < Negative two-thirdsx + 1
y < Negative three-halvesx + 1
y > Negative three-halvesx + 1
The inequality which is represented by the dashed line and the description as in the task content is; y < Negative three-halvesx + 1.
Which inequality correctly represents the dashed line as described in the task content?It follows from the task content that the inequality which correctly represents the line is to be determined.
Therefore, first, the slope which is the rate of change of y to x according to the two points given is;
slope, m = (y2 - y1)/(x2 - x1)
m = (-2 - 1)/(2 - 0)
m = -3/2.
Also, since the point, (0, 1) is given, the y-intercept of the line is; 1.
Therefore the equation of the dashed line is;
y = (-3/2)x + 1.
And ultimately, since the line is dashed and everything to the left is shaded, the required inequality is;
y < (-3/2)x + 1.
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9×+1=16
Two step equation
Answer:
[tex]x=5/3[/tex]
Step-by-step explanation:
[tex]9x+1=16 \\ \\ 9x=15 \\ \\ x=5/3[/tex]
If the area of Polygon P is 5 square units, what scale factor did Noah apply to Polygon P to create Polygon Q? Explain or show how you know.
The scale factor that Noah apply to Polygon P to create Polygon Q is 3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Area of polygon Q = (6 unit * 9 units) - (3 units * 3 units) = 45 unit²
Area of polygon P * scale factor² = area of polygon Q
5 * scale² = 45
Scale factor = 3
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Find the slope of the line through (-3,2) and (6,2)
Are the ratios 5:3 and 6:4 equivalent?
Answer:
I believe so but I'm nor 100% sure
The ratios 5:3 and 6:4 are not equivalent.
What are ratios?A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Equivalent ratios are those that are the same when compared. Two or more ratios can be compared to determine whether they are equal. For example, the ratios 1:2 and 2:4 are equal.
The given two ratios are 5:3 and 6:4. We can write them as 5/3 and 6/4
Let us apply subtraction, if we get 0 then these are equivalent.
6/4-5/3
The LCM of 4 and 3 is 12
=(18-20)/12
The value of 18-20 is -2
=-2/12
We have to divide 2 by 12 we get -1/6.
=-1/6 not equal to 0
Therefore, it can be concluded that the ratios 5:3 and 6:4 are not equivalent.
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Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What is the length of segment
——
A’B’?
After dilation, the length of line segment A'B' is 6 units.
What is dilation?Resizing an object uses a transformation called dilation. Dilation is used to enlarge or contract objects. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. A dilation in mathematics is a function f from a metric space M into itself that, for all points x, y in M, satisfies the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilation is a similarity to the space in Euclidean space.So, the length of line segment AB:
We would multiply a figure by 2 when dilating it by its length.The length of AB is 3 units.After dilation:
3 × 2 = 6 unitsTherefore, after dilation, the length of line segment A'B' is 6 units.
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Help me please with this assignment
Given:
Let the cost of chocolate bar be 'x'.
[tex]\text{Cost of Peanut butter bar=x+0.07}[/tex][tex]\begin{gathered} 5(x+0.07)+6(x)=6.40 \\ 5x+0.35+6x=\text{6}.40 \\ 11x=6.40-0.35 \\ x=\frac{6.05}{11} \\ x=0.55 \end{gathered}[/tex]Cost of chocolate bar is $0.55
Help me out
1. If the height of the box is 7 inches, what is the volume of the box?
2. If the volume of the box is 123 in3, what is the height of the box?
- I need the height and the volume of the box!
The volume of the box is 287 and the height of the box is 3
How to determine the volume of the box?The figure that completes the question is added as an attachment
On the figure, we have
Length of square = 1Number of squares = 41So, the base area is
Base area = Number of squares x Length of square^2
The volume becomes
Volume = Height x Base area
This gives
Volume = Height x Number of squares x Length of square^2
Substitute the known values in the above equation
Volume = 7 x 41 x 1^2
Evaluate
Volume = 287
How to determine the height of the box?The base area is
Base area = Number of squares x Length of square^2
The volume becomes
Volume = Height x Base area
This gives
Volume = Height x Number of squares x Length of square^2
Substitute the known values in the above equation
123 = Height x 41 x 1^2
Evaluate
123 = Height x 41
Divide by 41
Height = 3
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You begin downloading a 1400 megabyte (mb) movie at 7:00pm, then go do homework. at 7:50, you find that 825 mb remain to be downloaded. what is the average rate of change per minute in the amount downloaded?
The average rate of change per minute in the amount downloaded is 11.5 megabytes per minute
File size: 1400 megabytes
Start time of download: 7:00 pm
File size remaining to be downloaded: 825 megabytes
Time after one has done homework: 7:50 pm
Time elapsed: 50 minutes
File size downloaded: Total file size - File size remaining to be downloaded
= 1400 - 825 = 575 megabytes
Average rate of change per minute = File size downloaded/Time elapsed in minutes
= 575/50
= 11.5 megabytes per minute
So, the average rate of change per minute in the amount of download is 11.5 megabytes per minute
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Helpppppppppp plssss
Answer:
An is A and E
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Find the value of the missing angle x.
A. 45 degrees
B. 90 degrees
C. 135 degrees
D. 180 degrees
Answer:
.............. ................
- Find the measure of <8.
Find the measures of the remaining numbered angles.
Answer:
<8=66°
Step-by-step explanation:
2 angles on a straight line will add up to 180° so
180-114=66.
<8,<4, <1, <5 all equal 66° since vertical angles are equal
Which ratios ar equivalent to 1:2 9:18 12:24 5:10
Ratios equivalent to 1:2 9:18 12:24 5:10 are 13: 26, 4:8, 7:14, 15: 30 and many more.
What are ratios?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given Data
ratios equivalent to 1:2 9:18 12:24 5:10 are
13:26
as [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]
4:8
7:14
15:30
and many more.
Ratios equivalent to 1:2 9:18 12:24 5:10 are 13: 26, 4:8, 7:14, 15: 30 and many more.
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Justin has $56.05 and needs to go downtown. For the cab ride, there is an initial fee of $3.19 with a $0.44 charge for every half mile.
If m represents every half mile, which equation could determine exactly how far can Justin travel?
A
B
D
56.05 = 3.19 +0.44m
56.05 = 3.19m +0.44
0.44m 56.05 + 3.19
3.19 = 56.05 + 0.44m
Enter the correct answer in the box.
Simplify the expression (6^2)4.
answer; 6^8
explanations;
power rule for exponent; 2 x 4 = 8
Which is the absolute maximum for the polynomial y = -x³ + 5x² + x =
1 (3.43,15.9)
2 (-0.097,-6.049)
3 00
4 There is no absolute maximum for the polynomial.
Answer:
4
Step-by-step explanation:
Find and classify the global extrema of the following function:
f(x) = -x^3 + 5 x^2 + x
Find the critical points of f(x):
Compute the critical points of -x^3 + 5 x^2 + x
To find all critical points, first compute f'(x):
d/(dx) (-x^3 + 5 x^2 + x) = -3 x^2 + 10 x + 1:
f'(x) = -3 x^2 + 10 x + 1
Solving -3 x^2 + 10 x + 1 = 0 yields x = 1/3 (5 - 2 sqrt(7)) or x = 1/3 (5 + 2 sqrt(7)):
x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))
f'(x) exists everywhere:
-3 x^2 + 10 x + 1 exists everywhere
The critical points of -x^3 + 5 x^2 + x occur at x = 1/3 (5 - 2 sqrt(7)) and x = 1/3 (5 + 2 sqrt(7)):
x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))
The domain of -x^3 + 5 x^2 + x is R:
The endpoints of R are x = -∞ and ∞
Evaluate -x^3 + 5 x^2 + x at x = -∞, 1/3 (5 - 2 sqrt(7)), 1/3 (5 + 2 sqrt(7)) and ∞:
The open endpoints of the domain are marked in gray
x | f(x)
-∞ | ∞
1/3 (5 - 2 sqrt(7)) | -0.0490425
1/3 (5 + 2 sqrt(7)) | 21.9009
∞ | -∞
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:
The open endpoints of the domain are marked in gray
x | f(x) | extrema type
-∞ | ∞ | global max
1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither
1/3 (5 + 2 sqrt(7)) | 21.9009 | neither
∞ | -∞ | global min
Remove the points x = -∞ and ∞ from the table
These cannot be global extrema, as the value of f(x) here is never achieved:
x | f(x) | extrema type
1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither
1/3 (5 + 2 sqrt(7)) | 21.9009 | neither
f(x) = -x^3 + 5 x^2 + x has no global extrema:
Answer: -x^3 + 5 x^2 + x has no global extrema
Want 10 points? 2+2 = ? im so confused on this one!
Answer:
2 + 2 is 5
Step-by-step explanation:
everyone knows that
Answer:
Obviously its 22
Step-by-step explanation:
Find the sum of (2.8 × 10−9) and (9.1 × 10−10). Write the final answer in scientific notation.
11.9 × 10−19
1.19 × 10−18
3.71 × 10−10
3.71 × 10−9
Answer: [tex]3.71 \times 10^{-9}[/tex]
Step-by-step explanation:
[tex](2.8 \times 10^{-9})+(9.1 \times 10^{-10})\\\\=10^{-10}(28+9.1)\\\\=10^{-10}(37.1)\\\\=3.71 \times 10^{-9}[/tex]
Answer:
The answer is C: 3.71 × 10−9.
Step-by-step explanation:
0.26x0.205 lol use a step by step answer i know the answer just want to give some points to people so yeah
Answer:
0.0533
Step-by-step explanation:
first remove the decimal points, then add a zero to the end.
205*
260 0*5,0*0,0*2=0. 6*5=30, but you carry the 3, so its another 0.
6*0+3=3
6*2=12
2*5=10, but you carry the one, so it is 0. 2*0+1=1
2*2=4
1230
4100=
5330, but we moved 0.26 2 spaces forward, and we moved 0.205 3 spaces forward too. in total, that makes 6 spaces, so now we have to move it back. 533-1 space
53.3-2 spaces 5.33-3 spaces 0.533-4 0.0533-5 spaces
Montraie bought snacks for his team's practice. He bought a bag of popcorn for $2.45
and a 18-pack of juice bottles. The total cost before tax was $29.99. How much was
each bottle of juice?
Answer:
$1.53
Step-by-step explanation:
Let x represent each bottle of juice, then the equation will be -->
2.45+18x=29.99
18x=29.99−2.45=27.54
Therefore, x=1.53
Each bottle of juice costs $1.53
an equation that represents y= 1.75
Answer:
y=1.75 that’s the unit or you can say the constant so I can do 1.75+1.75 and I would get 3.50
Step-by-step explanation:
Bob can write a computer program in 30 hours. John can write a computer program in 1/2 the time it takes Bob. How long will it take them to complete the program working together? NEED HELP ASAP
Together, Bob and John will need 10 hours to finish the computer program with the given rate of working.
How to solve rate of change based problems?We divide the change in y (output) by the change in x to determine the average rate of change (input).
How is work completed measured?The amount of work finished in a single day if a task takes x days to complete is equal to 1/x.
It is given that In 30 hours, Bob can write a computer program. John can write a computer program in half the time that Bob takes.
Bob's rate = B
John 's rate = J
B × 30 = J × 15
Rate of Bob = 1/30 h
Rate of John = 1/15 h
Total time(1/30 + 1/15) = Computer Program
(1/30 + 1/15) = Computer Program/Total time
0.099 = Computer Program/Total time
So, total time = 1/0.099 = 10 hours/computer program
Therefore, Bob and John will finish the computer program in a total of 10 hours.
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two hundred and fifty six x^4 minus one thousand two hundred and ninety six y^4
The expression two hundred and fifty six x^4 minus one thousand two hundred and ninety six y⁴ will be 16(4²x⁴ - 9²y⁴)
How to explain the expression?It should be noted that expressions simply means one or more number or variables that are used to represent a data or a particular information.
It should be noted that two hundred and fifty six x⁴ minus one thousand two hundred and ninety six y^4 will be expressed as:
256x⁴ - 1096y⁴
In this case, there's a common factor between 256 and 1096. This will give a result as:
= 16(16x⁴ - 81y⁴)
= 16(4²x⁴ - 9²y⁴)
= 16[(4x)² - (9y²)²][(4x²)² + (9y²)²]
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what is the slope of the line that passes through the points (1,-1) and (-8,-7)?
[tex]m = \frac{y - y1}{x2 - x1} \\ m = \frac{ - 7 - ( - 1)}{ - 8 - 1} \\ m = \frac{ - 7 + 1}{ - 9} \\ m = \frac{ - 6}{ - 9} \\ m = \frac{2}{3} [/tex]
I ALSO PROVIDED THE FORMULA TO USE.
HOPE THIS HELPS
If there are 200 people in a cinema and the probability of choosing a person eating popcorn is 0.25, how many people in the cinema are eating popcorn?
800 people in the cinema are eating popcorn by probability.
What does math probability mean?
Probability is the study of possible outcomes of events, along with their comparative probabilities and distributions.Probability is the measure of how probable something is to happen. As an illustration, since there is only one way to get a head and a total of two potential outcomes, the probability of flipping a coin and getting heads is one in two. a tail or a head. We write P(heads) = 12 here.Total people in cinema = 200
probability of choosing a person eating popcorn is = 0.25
people in the cinema are eating popcorn = 200/0.25
people in the cinema are eating popcorn = 800
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The graph of y=-2x² + 1 is shown.
The relative maximum point is point D.
The relative maximum point is determined by the slope.
Here the slope is represented by tan theta.
If we draw a tangent at every point of the curve then we observe that A has a positive curse and point D has a increasing curve which is almost equal to 90° and tan 90 is 1. Point B and C however have a steady curve and tan 0 is 0.
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The vertex form of the equation of a parabola is y = (x- 5)2 + 16.
What is the standard form of the equation?
Answer: [tex]y=x^2 -10x+41[/tex]
Step-by-step explanation:
[tex]y=(x-5)^2 +16\\\\y=x^2 -10x+25+16\\\\y=x^2 -10x+41[/tex]
What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.
The slope of the ramp is m = h/√(r² - h²).
What is mean by square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Let h = height of the landing.
And, r = the length of the ramp.
Then, the length from the ground where the ramp touches it, to the ground directly below the landing is
⇒ √(r² - h²)
And, The slope of the ramp is m = h/√(r² - h²)
For example, if the ramp is 5 meters long and the landing height is 3 meters high, the slope of the ramp is 3/4.
As, Slope of the ramp (m) = 3/√(25-9) = 3/√16 = 3/4
Thus, The slope of the ramp is m = h/√(r² - h²).
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A number line going from negative 10 to positive 1. Use the horizontal number line shown to answer the question. Which statements are true? Check all that apply. –9 < –7 –6 = 6 –1 > –3 0 < –3
Use the horizontal number line, the statements which are true include the following:
A. –9 < –7
C. –1 > –3
What is a number line?A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.
In Mathematics, a number line typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In this context, we can reasonably and logically deduce that the following inequalities on a number line are either true or false:
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Complete Question:
Use the horizontal number line shown to answer the question. Which statements are true?
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1
Check all that apply.
A. –9 < –7
B. –6 = 6
C. –1 > –3
D. 0 < –3
Answer: A & C
Step-by-step explanation: