help me solve plsssssss
Answer:
2. C
3. BCEF
4. C
Step-by-step explanation:
2. In a function, the x value cannot have two y values (for example: if the points are (1,2) and (1,3) then that is not a function).
In this question, none of the x values repeat with multiple y values, so it is a function. the answer is C.
It is not D, because not all straight lines are functions. If the straight line is vertical, then there is only one x value and it has infinitely many values for y. So, not all straight lines are necessarily functions.
3. Range is the y values. The points are (3,4), (-2,3), (7,1), (2, 1/2)
Here, the y values are 4, 3, 1, and 1/2
Choices B,C,E,F are the answers.
4. If the domain is x\(\geq\)0, then 0 is the lowest we can plug into x.
y=2(0)+6
y=6
So, the answer is C. y\(\geq\)6
You were on the right track :)
Find the lowest common denominator.
1 1 2
----------- , ------------ , -------------
(x+2)2 (x-2)2 x2-4
The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.
To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).
The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.
Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.
So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.
Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)
Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.
Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.
Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.
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Sam drove for 1/8 hour covering 8 1/2 miles, how far did he drive in 1 hour?
Answer:
68miles
Step-by-step explanation:
1/8 of an hour (60mins) = 7.5 mins
7.5mins : 8.5miles
x8 x8
60mins : 68 miles
(If this is wrong please comment on this)
Answer:
68 miles.
Step-by-step explanation:
Sam has driven the distance of \(8\frac{1}{2}\) miles in 1/8 of an hour, we are asked how far he drove in 1 hour.
Assuming Sam drove at the same speed for 1 hour, we should multiply \(8\frac{1}{2}\) by 8 to represent the unknown distance.
\(8\frac{1}{2} \times \frac{8}{1} = 68.\)
During the time length of 1 hour, Sam has driven 68 miles.
If
to DEF?
A 23
B. 16°
C. 32°
D. 58°
The calculated measure of the angle D is (c) 32 degrees
How to determine the measure of the angleFrom the question, we have the following parameters that can be used in our computation:
The triangles ABC and DEF
The triangles are similar triangles
This means that the corresponding angles are equal
Given that
A = 32 degrees
And the corresponding angle is D
We have
D = 32 degrees
Hence, the measure of the angle is (c) 32 degrees
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How do you do this question?
Answer:
(-½, ½)
Step-by-step explanation:
r = -2x. The geometric series converges when -1 < r < 1.
-1 < -2x < 1
½ > x > -½
The interval of convergence is (-½, ½).
if computer disks cost 69.95$ a dozen how much do 8 disks cost?
Answer: 559.60$ before tax
593.176$ or 593.18$
Step-by-step explanation:
Answer:
$46.63
Step-by-step explanation:
A dozen (12) computer disks costs $69.95
8 is two thirds of a dozen, and so 8 computer disks will cost two thirds of the price.
69.95 * \(\frac{2}{3}\) = $46.63 (rounded to nearest cent)
Therefore the price of 8 disks is $46.63
The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days and a standard deviation of 17 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 31 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .
To solve for the middle range of mean:
The middle 95% of the pregnancies are within two standard deviations of the mean:
\(\begin{gathered} \operatorname{mean}\text{ = 264} \\ \text{standard devaition}=17 \\ =264\pm2(17)\text{ } \\ =\text{230 and 298} \end{gathered}\)The middle 95% of the pregnancies are within two standard deviations of the mean are 230 and 298
The middle 95% of the average length of pregnancies' would be a 95% CI: mean +/- z-critical * standard deviation/square root(sample size)
Critical value for 95% confidence interval = 1.96
\(\begin{gathered} 264\pm1.96\cdot\frac{17}{\sqrt[]{31}} \\ =264+\frac{1.96(17)}{\sqrt[]{31}} \\ =264\pm\frac{33.32}{5.57} \\ =264\pm5.982 \\ =269.982\text{ , 258.018} \end{gathered}\)The middle 95% of the average length of pregnancies' would be a 95% CI: between 258.018 and 269.982
You have 4 chocolate bars to share equally between you and your 2sisters.
Which equation describes this situation?
Answer:
option two is the right choice for it
Step-by-step explanation:
i just had a feeling like it is right and because im pretty good at this
Help help math math math
Answer:
3 1/4 ÷ 2 2/3 = 3 1/8
Answer:
The answer is 3 1/8. Hope this helps :)
Step-by-step explanation:
in the figure above a surveyor wants to know the distance from the top of the tower to the bottom of the tower.
if the angle of declination is known, a surveyor would use___ to find the length X. The cosine of a 50° angle is___ this represents the value created when the length___ is divided by__ feet. If the angle of declination changed to 60°, the cosine would be 0.5.; now the length of ex would be___ feet. If the angle of declination changed to 60°, the angle of inclination would be__ degrees.
The missing parts of the statements using trigonometric ratios are respectively:
trigonometric ratio
0.6428
x feet
90 feet
45 ft
30°
How to use trigonometric ratio?The angle of depression is simply the same as the angle of declination as both are formed below the horizontal axis with a downward slope.
Thus, if the surveyor knows the angle of declination, then he can use trigonometric ratio to get the length X in the diagram.
The trigonometric ratio to be used is cosine since we have the hypotenuse and want to find the adjacent side. Thus;
The cosine of a 50° angle is 0.6428
This cosine represents when the length x feet is divided by 90 feet.
Now, if the angle of declination changed to 60°, the cosine would be 0.5 and the new length x will be 90 * 0.5 = 45 ft.
The angle of inclination will be 30°
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Find the length of a tree shadow which has a 38 degree elevation if the tree is 21 meters tall
Answer:
xDbdjajjfjeqjsufuirueiiqd
Coweta Nutrition sells shakes for $3.39 each. They also sell tea for $2.50. If Mrs.
Morgan bought 1 tea and spent $19.45 this week, not including tax, how many
shakes did she buy?*
Answer:
she bought 5 shakes
Step-by-step explanation:
shakes: $3.39
tea: $2.50
2.50 + 3.39s = 19.45
3.39s = 16.95
s = 16.95 ÷ 3.39
s = 5
Check:
2.50 + 3.39(5) = 19.45
or
2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 = 19.45
each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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100 points What is the equation of the line that goes through (1,-1) and is parallel to y =
3x-3?
A. y+ 1 = 3(x - 1)
B. y+1=-}(-1)
C. y = 3x + 1
OD. y+1-}(x-1)
If 5x + 6 = 10, what is the value of 10x + 3 ?
Answer:
11
Step-by-step explanation:
Whats the correct answer answer asap for brainlist
Answer:
this is not belongs to mathematics
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
The answer is $0.07 cents per inch
Step-by-step explanation:
If you take 6 feet into inches (72)
and divide the total cost by the amount of inches (5.04 / 72)
You get the answer
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
in standard form, the line parallel to the shown line and passing through the origin.
The equation of a line in standard form is written as:
\(Ax+By=C\)Now, two lines are parallel if and only if their slopes are equal, that is:
\(m_1=m_2\)The slope of a line is given by:
\(m=\frac{y_2-y_1_{}}{x_2-x_1}\)where (x1,y1) and (x2,y2) are points through the line. From the graph we notice that the line passes through the points (0,3) and (5,-1) then its slope is:
\(\begin{gathered} m=\frac{-1-3}{5-0} \\ m=-\frac{4}{5} \end{gathered}\)This means that the lin in the graph has a slope os -4/5 and hence the paralell line we are looking for has slope -4/5 as well.
Once we know the slope of the line we want we just need a point; the porblem states that the line passes through the origin, then it passes through the point (0,0). The equation of a line with slope m that passes throught the point (x1,y1) is given by:
\(y-y_1=m(x-x_1)\)Plugging the values of the slope and the point we have that:
\(\begin{gathered} y-0=-\frac{4}{5}(x-0) \\ y=-\frac{4}{5}x \end{gathered}\)Finally we just write the equation in standard form, therefore the equation of the line is:
\(\frac{4}{5}x+y=0\)A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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Bananas are on sale for $0.39 per pound. Mr Schurter bought 3 x 3 /4 pounds of bananas. Which is closest to the amount he paid for the bananas?
The amount paid for the bananas is $0.8775.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Bananas are on sale for $0.39 per pound. Mr. Schurter bought 3 x 3 /4 pounds of bananas.
Cost of 1 pound of banana = $0.39
Let x be the cost of 3 × 3/4 pounds of banana.
3 × 3/4 pounds = 9/4 pounds
By proportional concept,
1 : 0.39 = 9/4 : x
1 / 0.39 = 9/4 / x
Cross multiplying, we get,
1 × x = (9/4) × 0.39
x = 3.51 / 4
x = 0.8775
Hence the cost of 3 × 3/4 pounds of banana is $0.8775.
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6.334*104=6.334*10<sup>4</sup>=
Answer:
what's that
Step-by-step explanation:
A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?
I will mark you as the brainliest IF answered correctly.
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
look at the picture below
The surface area of the composite solid is given as follows:
194 units squared.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The prism in this problem is composed as follows:
Rectangular prism of dimensions 4, 7 and 3.Two right triangles of dimensions 4 and 3.One square of side length 5.One rectangle of dimensions 5 and 7.Hence the surface area of the prism is given as follows:
S = 2(4 x 7 + 4 x 3 + 3 x 7) + 4 x 3 + 5² + 5 x 7
S = 194 units squared.
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. Why is the following arrangment of squares not an array?
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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65 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:
# of Pairs of Shoes 4 5 6 7 8 9 10 11 12 13
Frequency 8 5 4 4 7 14 6 7 6 4
The mean of the number of shoes according to the obtained results is; 8.49.
The median of the number of pairs of shoes obtained is; 9.
What is the mean and median of the frequency distribution?It follows from the complete task content that the mean and median of the data set are to be evaluated;
Since the mean is the average of all obtained data values, it follows from the mean formula;
Mean = Sum Total/Total Frequency
Mean = { ( 8 × 4 ) + ( 4 × 5 ) + .......+ (13 × 4) } / 65
Mean = 552/65
Mean = 8.49.
Also, the median of the set of 65 data values can be guessed to be the 33rd term.
On this note, the data value which corresponds to a cumulative frequency of 33 upon orderly arrangement is the median term.
Hence, since; 8 + 5 + 4 + 4 + 7 = 28; Hence, upon addition of 14, we have; 42.
Therefore, the median of the number of pairs of shoes is; 9 pairs of shoes.
Remark; The complete task requires that the mean and median be determined.
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Can someone please help me
1. f(x)=-(x+4)^2-4
2. f(x)=(x-1)^2
Answer: 1. 1*f*(x)-(-(x+4)^2-4)=0
STEP
1
:
Equation at the end of step 1
fx - x2 - 8x - 12 = 0
STEP
2
:
Solving a Single Variable Equation:
2.1 Solve fx-x2-8x-12 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*f*(x)-((x-1)^2)=0
STEP
1
:
1.1 Evaluate : (x-1)2 = x2-2x+1
Equation at the end of step
1
:
2fx - x2 + 2x - 1 = 0
STEP
2
:
Solving a Single Variable Equation:
2.1 Solve 2fx-x2+2x-1 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
Which ordered pair lies on the function f(x) = x2 + 3?
A) (–1,4)
B) (–1,–4)
C) (1,–4)
D) (–4,–1)
Answer:
(-1,4)
Step-by-step explanation:
to find out we just fill in the values to see if it’s true
(x,f(x))
4=-1^2+3
4=1+3
4=4
True
-4=-1^2+3
-4=1+3
-4=4
Not true
-4=1^2+3
-4=1+3
-4=4
Not true
-1=-4^2+3
-1=16+3
-1=19
Not true
Hopes this helps please mark brainliest
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
P(high-quality oil)=0.45
p(medium-quality oil)=0.15
p(no oil)=0.40
a. What is the probability of finding oil (to 2 decimals)?
b. After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are given below.
p(soil | high-quality oil)=0.15
p(soil | medium-quality oil)= 0.75
P(soil | no oil)=0.15
Given the soil found in the test, use Bayes' theorem to compute the following revised probabilities (to 4 decimals).
What is the new probability of finding oil (to 4 decimals)?
According to the revised probabilities, what is the quality of oil that is most likely to be found?
The total probability of filling oil is 0.60
a. P(oil) = 1 - P(no oil) = 1 - 0.40 = 0.60
b.P(soil ∩ high quality oil) = (0.45)(0.15) = 0.067
P(soil ∩ medium quality oil) = (0.15)(0.15) = 0.022
P(soil ∩ no oil) = (0.40)(0.40) = 0.16
New probabilities,
P(high quality oil | soil) = 0.067 / (0.067+0.022+0.16) = 0.067/0.269 = 0.269
P(medium quality oil | soil) = 0.022 / (0.067+0.022+0.16) = 0.022/0.269 = 0.088
P(no oil | soil) = 0.09 / (0.067+0.022+0.16) = 0.09/0.269 = 0.361
New probability of finding oil,
P(oil|soil)= 1 - P(no oil | soil) = 1 - 0.361 = 0.639
So the company has a lower chance of finding oil given that they find the particular soil.
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Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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