The y-intercepts are the values of y such that f(y) = 0, solving that we will get:
y-intercepts: -6.93, 6.93.
How to find the y-intercepts of the function?
Here we have a function that depends of y, and we want to find the y-intercepts.
The function is:
f(y) = 5*y^2 - 240
The y-intercepts are the values of y such that the function becomes zero, so we need to solve:
0 = 5*y^2 - 240
240 = 5*y^2
240/5 = y^2
48 = y^2
Now we apply the square root in both sides to get:
±√48 = y
±6.93 = y
So the two y-intercepts are:
y = 6.93
y = -6.93
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4x-3 x=2 4(2)-3 the blank property is used here
From the information given above, The substitution property is used here. See further explanation below.
What is substitution property?The substituted property of equality states that one value may be substituted for another in an expression or equation and the result will be the same.
If the values of x and y are equivalent, then x and y may be substituted for one another. The property's opposite is likewise true.
For exmaple,
If x=y for any real integer x and y, then y may be replaced for x in any statement.
In the above instance, x = 2 and hence can be substituted for x in the first expression given as:
4x -3.
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Full Question:
4x-3
x=2
4(2)-3
The _____ property is used here.
help meeeeeeeeeeeeeeeeeeeeeee
thank you
The height of the object based on the information is 1963 feet.
How to calculate the height?It should be noted that a function is important to show the relationship between the variables given in the data.
In this case, the function given for the height of the object is given as:
h = 16t² + 1899
where t = time
When the time is 2 seconds, the height will be:
h = 16t² + 1899
h = 16(2)² + 1899
h = 64 + 1899
h = 1963
The height is 1963 feet.
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Given a line with slope of -1 and y-intercept of 8, which of the ordered pairs given below would NOT be on the line?
We have a line with slope -1 and y-intercept of 8.
We can write the equation of this line as:
[tex]\begin{gathered} y=mx+b \\ y=-x+8 \end{gathered}[/tex]Then, we can test the values for each x-coordinate and see if it matches the y-coordinate indicated by the point:
Point (3,5)
[tex]y(3)=-3+8=5\longrightarrow\text{ is on the line}[/tex]Point (2,10)
[tex]y(2)=-2+8=6\ne10\longrightarrow\text{ is NOT on the line}[/tex]Answer: the point (2,10) is not on the line.
How many employees did it have a title and round your answer to the nearest whole number
From the given question,
The employees in the one country is, 12900 and it is the 24.2% of the total employee.
So,
Suppose x is the total number of the employees in the company.
Then,
[tex]24.2\text{\% of x=12900}[/tex]then,
[tex]\begin{gathered} 24.2\text{\% of x=12900} \\ x=\frac{12900}{24.2\text{ \%}} \\ x=\frac{12900}{0.242} \\ x=53,306 \end{gathered}[/tex]Hence, the value of total employess is 53,306.
Select that two values of x that are roots of thi equation
ANSWER:
B.
[tex]x=\frac{5+\sqrt{17}}{4}[/tex]C.
[tex]x=\frac{5-\sqrt{17}}{4}[/tex]EXPLANATION:
Given:
[tex]2x^2+1=5x[/tex]To find:
The two values of x that are roots of the equation
Let's subtract 5x from both sides of the equation;
[tex]\begin{gathered} 2x^2+1-5x=5x-5x \\ 2x^2-5x+1=0 \end{gathered}[/tex]Recall that a quadratic equation is generally given in the below form;
[tex]ax^2+bx+c=0[/tex]Comparing both equations, we can see that;
[tex]\begin{gathered} a=2 \\ b=-5 \\ c=1 \end{gathered}[/tex]Let's go ahead and use the below quadratic formula to solve for the values of x;
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex][tex]\begin{gathered} x=\frac{-(-5)\pm\sqrt{(-5)^2-4*2*1}}{2*2} \\ \\ x=\frac{5\pm\sqrt{25-8}}{4} \\ \\ x=\frac{5\pm\sqrt{17}}{4} \\ \\ x=\frac{5+\sqrt{17}}{4},\frac{5-\sqrt{17}}{4} \end{gathered}[/tex]How do i get the proportionality on this❓❓
Sheila is making a model of a stadium using a scale where 3 centimeters equal 20 feet. If the model is 30.5 centimeters wide, what is the actual width of the stadium, in feet?
Answer:
answer is in the explanation
Step-by-step explanation:
first w have to get from 3cm to 30.5cm
to do that we can multiply by 10 1/6
3*10=30
1*3=3
30 3/6
the scale factor, like I said is 10 1/6.
20*10 1/6=20*10+20*1/6=200+20/6=203 2/6, or 203 1/3, or 203.3333333, or 610/3
A carpenter spend his 40-hour workweek as follows: 1/4 of his ordering materials; 1/2 of his time doing the wooodwork; and 1/8 of his time talking to customers. The rest of his time devoted to cleanup. What is the approximately percentage of time the carpenter spend doing cleanup?
The forty hours of the workweek of the carpenter are distributed as follows:
Then, the time that the carpenter spends cleaning up is (what remains from the 40 hours after subtracting the time he spends in the other activities):
[tex]40h-10h-20h-5h=5h\text{.}[/tex]The question now is, what percentage does 5h represent in 40h? We need to use the percentage formula:
[tex]\begin{gathered} 5=\frac{\%}{100}\cdot40.\leftarrow\begin{cases}\%=\text{ Percentage that 5 represents in 40}\end{cases} \\ \\ \end{gathered}[/tex]Solving this equation, we get
[tex]\begin{gathered} 5=\frac{\%}{100}\cdot40, \\ \\ 5=\frac{\%\cdot40}{100}, \\ \\ 100\cdot5=\%\cdot40, \\ \\ 500=\%\cdot40, \\ \\ \frac{500}{40}=\%, \\ \\ \%=\frac{500}{40}, \\ \\ \%=12.5. \end{gathered}[/tex]AnswerThe percentage of time that the carpenter spends cleaning up is 12.5%.
Find the period in degrees of F(x)= –2 sin(4x)
Answer:
Explanation:
We were given that:
what is the value of 5(y+3)-3x^2 when x=4 and y=2?
A .–23
B. –10
C. 10
D. 23
[tex]{ \orange{ \tt{ - 23}}}[/tex]
Step-by-step explanation:
Given:-
x = 4 and y = 2.
Substitute the value of x and y in this below equation.
[tex]{ \red{ \tt{5(y + 3) - {3x}^{2}}}}[/tex]
[tex]{ \red{ \tt{5(2 + 3) - {3(4)}^{2}}}}[/tex]
[tex]{ \red{ \tt{5(5) - 3(16)}}}[/tex]
[tex]{ \red{ \tt{25 - 48}}}[/tex]
[tex] = { \red{ \tt{ - 23}}}[/tex]
Answer:
A: -23
Step-by-step explanation:
Which equation represents the ordered pairs in the table? Х у 6 2 12 4 18 6
From the table, we have the following:
[tex]\frac{y}{x}=\frac{2}{6}=\frac{4}{12}=\frac{6}{18}=\frac{1}{3}[/tex]Thus, we have that:
[tex]\frac{y}{x}=\frac{1}{3}\Rightarrow y=\frac{x}{3}\Rightarrow y=\frac{1}{3}x[/tex]We obtain this result if we multiply both sides of the equation by x.
Therefore, the result is:
[tex]y=\frac{1}{3}x[/tex]The answer is the third option.
The volume of a cube is 64 feet, and hat is the length of the cube?
So the volume of a cube is given by:
[tex]r^3=64[/tex]Where r is the length of its sides. By finding r we can find the length of the cube:
[tex]\begin{gathered} r^3=64 \\ r=\sqrt[3]{64}=4 \end{gathered}[/tex]So the cube is 4 feet long.
Answer:
B,C,D:)
Step-by-step explanation:
i got 100%
2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
Show you work please :)
Answer:
0.825 inches per hour
Step-by-step explanation:
Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow?
FACTS:
the weed grows up to 1.65 feet per day
there are 12 inches in 1 foot
there are 24 hours in 1 day
First, lets figure how many inches the weed can grow in one day:
= daily growth in feet per day * inches in 1 foot
= 1.65 feet * 12 inches
= 19.8 inches a day
If the weed can grown 19.8 inches a day, and there are 24 hours in a day:
= growth in inches per day/24 hours in 1 day
=19.8/24
= 0.825 inches per hour
Triangles G H L and K H J are connected at point H. Angles Angles L G H and H K J are congruent. Sides G H and H K are congruent. Which congruency theorem can be used to prove that △GHL ≅ △KHJ?
1) Considering that in these triangles, there is one pair of vertical angles
∠GHL and ∠JHK and two congruent angles ∠JKH and ∠HGL,
2) We can tell that these triangles fall within the following congruence case:
[tex]ASA[/tex]Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
The equations of the line are:
y – 2 = 2(x – 5)
y + 16 = 2(x + 4)
y = 2x – 8
How to Find the Equation of a Line that Passes through two Points?The equation of a line, in point-slope form, that passes through two points can be expressed as y - b = m(x - a).
To find the equation, first, we will need to find the slope of the line. Next, we will use a point and the slope to write the equation by simply substitute their values in y - b = m(x - a), where the slope is m and a point is (a, b).
Given the points:
(–4, –16) (5, 2)Find the slope of the line (m):
Slope of the line (m) = change in y / change in x = (-16 - 2)/(-4 - 5)
Slope of the line (m) = -18/-9
Slope of the line (m) = 2
Substitute m = 2 and (a, b) = (5, 2) into y - b = m(x - a):
y - 2 = 2(x - 5)
Or, substitute m = 2 and (a, b) = (-4, -16) into y - b = m(x - a):
y + 16 = 2(x + 4)
Any of the above equations can be rewritten in slope-intercept form as:
y = 2x - 8.
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Simplify.(5+squartrt3)225 + sqrtrt1010 + 28sqrtrt328 + 10sqrtrt3
The given expression is,
[tex](5+\sqrt[]{3})^2[/tex]We have the algebraic expansion,
[tex](a+b)^2=a+2ab+b^2[/tex]Therefore we have,
[tex]\begin{gathered} (5+\sqrt[]{3})^2=5^2+(2\times\sqrt[]{3}\times5)+(\sqrt[]{3})^2 \\ \text{ =25+10}\sqrt[]{3}+3=28+10\sqrt[]{3} \end{gathered}[/tex]Thus, the correct option is 28 + 10sqrt3.
What is the sum of + 5 16 000 ? 9 B 13. 32 o c. 9 16 D. 13 16
Answer:
The sum of the fractions is;
[tex]\frac{13}{16}[/tex]Explanation:
We want to find the sum of the fraction;
[tex]\frac{1}{8}+\frac{5}{16}+\frac{3}{8}[/tex]The least common multiple is 16;
[tex]\begin{gathered} \frac{1}{8}+\frac{5}{16}+\frac{3}{8} \\ =\frac{2+5+6}{16} \\ =\frac{13}{16} \end{gathered}[/tex]The sum of the fractions is;
[tex]\frac{13}{16}[/tex]The weight of 8 eggs is 496 grams. Identify the constant of proportionality of total weight to number of eggs.
Group of answer choices
60
56
62
58
The constant of proportionality of total weight to number of eggs having the weight of 8 eggs as 496 grams is 62.
How can the constant of proportionality of total weight to number of eggs be determined?The weight of 8 eggs is given as 496 grams
The equation can be written as :
w=n
where n= number of the eggs
we= weight of the eggs
then the equation can be written as
w∝n
Then we can introduce the proportionality constant sign as ;
then w=kn
where k is the proportionality constant
then we can substitute the given figures as ;
496=k *8
then k=496/8 = 62.
Therefore third option is correct.
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Does the geometric sequence converge or diverge? Explain.
320,-40, 5, -0.625,...
O The sequence diverges because r = -8, which is less than one.
O The sequence diverges because |r | = 8, which is greater than one.
The sequence converges because || = 0.125, which is less than one.
O The sequence converges because r = 0.125, which is less than one.
The sequence converges because |r| = 0.125, which is less than one. The correct answer would be option (C).
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
We have been given that geometric sequence as:
320, -40, 5, -0.625,...
To determine whether the geometric sequence converges or diverges
We have to find the common ratio of the given sequence.
|r | = | -40/320 |
|r | = 0.125 < 1
Since the common ratio of the sequence is less than 1,
Therefore, the given sequence converges.
Hence, the correct answer would be an option (C).
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Question 6 of 14
A researcher creates two random samples, each with a sample size of
10. He
does not find a statistically significant difference between the two groups.
Which of the following statements is correct? Select all that apply.
Correct option is D. Since sample size is 10, the sample size is not adequate, the conclusion is likely to be untrue.
What is meant by sample size?The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.
The quantity of completed survey replies is known as the sample size. Because it merely reflects a portion of the target population (or set of people whose ideas or behavior you are interested in), it is known as a sample.
How is the sample size determined?The equation reads Sample Size = N / (1 + N*e2), where N is the population size.
Be aware that this is the least desirable and least precise formula.
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Complete Question -
A researcher creates two random samples, each with a sample size of . He does not find a statistically significant difference between the two groups. Which of the following statements is correct? Select all that apply.
A. Since the sample size is adequate, the conclusion is likely to be true.
B. Since random samples were used, the conclusion is likely to be true.
C. Sample size does not affect the outcome of statistical significance.
D. Since the sample size is not adequate, the conclusion is likely to be untrue.
2 a+6 divided by 2a²-18
[tex] \frac{2a + 6}{ 2{a}^{2} - 18} \\ = \frac{2(a + 3)}{2( {a}^{2} - 9)} \\ = \frac{a + 3}{(a + 3)(a - 3)} \\ = \frac{1}{a + 3} [/tex]
ATTACHED IS THE SOLUTION
On a camping trip, Nina kept a log of the types of snakes she saw. She noted their colors and approximate lengths. Red Bright orange 1 foot long 3 3 2 feet long 3 1 3 feet long 2 2 What is the probability that a randomly selected snake is 3 feet long or bright orange? Simplify any fractions. S
we make a ratio between the number of the selected snakes and the total of snakes
selected snakes
are 3 feet long or bright orange
4 are 3 feet long and 6 are orange, but 2 oranges are 3feet long too, then we count
answer this |
|
90 times by x = 9,000
The value of x based on the multiplication in 90 × x = 9000 is 100.
What is multiplication?Multiplication simply means the product of numbers given. This is illustrated with the sign given as ×.
In this case, 90 × x = 9000
Multiply 90 by x which equates to 9000
90x = 9000
Divide by 90
90x / 90 = 9000 / 90
x = 100
The value of x is 100.
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Simplify: x + (7 + 14x)Options:15 x + 721 x22 x21 x + 1
Step 1
Given;
[tex]x+(7+14x)[/tex]Required; To simplify the question.
Step 2
[tex]\begin{gathered} Bring\text{ like terms together} \\ x+14x+7 \\ Simplify \\ 15x+7 \end{gathered}[/tex]Answer;
[tex]15x+7[/tex]Answer the question in the picture below please someone help me
Answer:
here is the Answer The population will be 799,500 people
Step-by-step explanation:
A 6-foot hiker casts a 11-foot shadow, and a nearby tree casts a 34-foot shadow. Find the height of the tree
(round to the nearest tenth).
feet
Answer: 62.33
The ratio of the real length to the shadow is 6:11. to make the first ratio 34 then I could multiply both sides by 34/6 which would make 34:374/6. When 374 is divided by 6 it equals 62 1/3 which also equals 62.33333... Then I would round it to 62.33.
Which of the following is the correct representation of (-5,6) as a linear combination of unit vectors?05i - 6j0 -5i + 6jO 6i - 5j0 -6i + 5j
The correct combination of vectors is:
[tex]-5i+6j[/tex]This comes from the fact that we need to multiply the x component by i and the y component by j.
11/12 divided by 4/5
Given the general rule for the division of fractions:
[tex]\begin{gathered} \frac{a}{b}\frac{\cdot}{\cdot}\frac{c}{d}=\frac{a\cdot d}{b\cdot c} \\ b,d\ne0 \end{gathered}[/tex]in this case, we can use the formula in the following way:
[tex]\frac{11}{12}\frac{\cdot}{\cdot}\frac{4}{5}=\frac{11\cdot5}{12\cdot4}=\frac{55}{48}[/tex]therefore, the answer is 55/48
The difference between nine times a number and one more than six times the number.
the algebraic expression?
The required algebraic expression is: 9n - (6n +1)
What is an algebraic expression and how is it formed?
Variables and constants are used to create algebraic expressions using a variety of techniques. It is a mathematical expression made up of terms and includes variables, constants, and algebraic operations like addition, subtraction, etc. When operations like addition, subtraction, multiplication, division, etc. are performed on any variable, the resulting equations are called algebraic expressions. An algebraic expression (or variable expression) is a grouping of terms that have undergone operations like addition, subtraction, multiplication, division, etc.
Let the given number be = n
Therefore, nine times the number = 9n
Also, six times the number = 6n
Again, one more than six times the number = 6n + 1
Given, difference between nine times a number and one more than six times the number.
Using all of the expressions derived above, we curate the algebraic expression as:
Algebraic expression: 9n - (6n +1)
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The x-intercept of 2x – y = 6 is -6.
True
False
Answer:
False
Step-by-step explanation:
The [tex]x[/tex] intercept is when [tex]y=0[/tex].
Substituting [tex]y=0[/tex], we get [tex]2x=6[/tex], meaning that [tex]x=3[/tex].
So, the [tex]x[/tex] intercept is 3, not -6.
