here ya go!!! I hope this helps <3
All the freshmen in STEM majors at the college will go on a field trip to the science museum. Counting all students and faculties, there will be 169 people. Each bus holds 33 people. How many busses will they need?
Answer: 6
Step-by-step explanation: 169/33=5.12121212121 so on. However, you still need a bus for the desimal people so you have to add another bus
What is the range of the graph
On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.
In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve
When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% saline solution to produce a 30% saline solution?
Answer:
We must add 400 ml of water.
Step-by-step explanation:
We can use the following equation:
\(C_{i}V_{i}=C_{f}V_{f}\)
Where:
C(i) is the initial concentration of the solution (80%)C(f) is the final concentration of the solution (30%)V(i) is the initial volume (150 ml)V(f) is the final volumeNow, we just need to solve the equation for V(f).
\(V_{f}=\frac{C_{i}V_{i}}{C_{f}}\)
\(V_{f}=\frac{80*150}{30}\)
\(V_{f}=400\: ml\)
Therefore, we must add 400 ml of water.
I hope it helps you!
question in the image
the power to which a number or expression is raised
The power to which a number or expression is raised is called the exponent.
1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.
2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.
3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.
4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:
- Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.
- Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).
- Zero exponent: Always equals 1. For example, \(2^0\) = 1.
- Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.
5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).
Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.
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A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answer: \(4004.76\ ft\)
Step-by-step explanation:
Given
inclination is \(\theta=75^{\circ}\)
Mountain is \(h=3900\ ft\) high
Cable is tied \(x=910\ ft\) from the base of the mountain
From the figure, length of the shortest path is \(l\)
It is given by using Pythagoras theorem
\(\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft\)
Find the perimeter of the isosceles triangle with points A (0,0); B (3,3); and C (6,0)
Answer:
use distance formula for the sides of the triangle
given that sin x equals to a over b then what is tan x
Answer:
Hey there!
Sine is equal to opposite/hypotenuse
Tangent is equal to opposite/adjacent
opposite=a
hypotenuse=b
adjacent=c
Thus, tangent x= a/c.
Hope this helps :)
Answer:
tan x = a/sqrt(b^2 - a^2)
Step-by-step explanation:
sin x = a/b = opp/hyp
tan x = opp/adj
adj^2 + opp^2 = hyp^2
adj^2 + a^2 = b^2
adj = sqrt(b^2 - a^2)
tan x = a/sqrt(b^2 - a^2)
A 30-mile segment of road needs to be paved. 6 miles have already been completed. The paving crew can complete 3 miles of paving per day. How many days will it take them to finish?
Answer: 8 days
Step-by-step explanation:
6 miles has been paved already.
Number of miles left = 30 - 6
= 24 miles
If they are paving at 3 miles a day, the days they will take to finish is:
= 24/3
= 8 days
Answer:
8 days
because if they are paving at 3 miles a day, the days they will take to finish is: = 24/3
The Gross revenue is $495,958.02. AR is 14% of the Gross RevenueWhat amount is tied up in AR?
The amount tied up in AR is $69434.12
Explanation:The Gross Revenue, GR = $495,958.02
From the question:
The Annual Revenue, AR = 14% of GR
AR = (14/100) x $495,958.02
AR = 0.14 x $495,958.02
AR = $69434.12
The amount tied up in AR is $69434.12
congruent equilateral tringales are used to tesselate the plane. how many tringals share a common vertex
In a tesselation of the plane with congruent equilateral triangles, each vertex is shared by six triangles.
This can be visualized by imagining a single equilateral triangle as the center, surrounded by six other equilateral triangles that share a common vertex with the central triangle. Therefore, in this type of tesselation, each vertex is surrounded by six neighboring triangles.
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A grain of rice weighs about 0.03 g.
a) Write the mass of a grain of rice in standard form.
In the USA, about 4.3 million tonnes of rice are eaten each year.
b) 1 tonne = 1 million grams
What is the mass, in grams, of rice eaten in the USA each year?
Give your answer in standard form.
a) The mass of a grain of rice in standard form; 0.3×10⁻¹ gram.
b) The mass, in grams, of rice eaten in the USA each year: 4.6×10¹² grams.
What is described as scientific notation?Scientific notation is a handy way to shorten extremely large numbers with positive exponential values and also very small numbers with negative exponential values. To shorten long numbers in scientific notation, employ positive exponents and decimals.For the given question;
a) Weight of the rice grain is 0.03 g.
Shift the point to one decimal of the right and replace it with 10⁻¹ for this.
= 0.3×10⁻¹
Thus, the number in standard form becomes 0.3×10⁻¹ grams.
b) In USA, the rice eaten per year = 4.3 million tonnes.
1 tonne = 1 million grams
And, we know, one million can be written as.
1 million = 10⁶
4.3 million tonnes = 4.6×10⁶ tonnes.
Now, if 1 tonne = 1 million grams.
Then, multiply both side by 4.6×10⁶.
4.6×10⁶ × 1 tonne = 4.6×10⁶×1 million grams.
4.6×10⁶ tonnes = 4.6×10⁶ million grams.
Again convert million as 10⁶.
= 4.6×10⁶×10⁶
= 4.6×10⁶⁺⁶
= 4.6×10¹²
Thus, in USA 4.6×10¹² grams of rice is eaten each year.
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?ABC is an isosceles triangle with legs AB and AC. ?AYX is also an isosceles triangle with legs AY and AX. The proof that ?ABC ~ ?AYX is shown. Statements Reasons 1. ?ABC is isosceles with legs AB and AC; ?AYX is also isosceles with legs AY and AX. 1. Given 2. AB ? AC and AY ? AX 2. Definition of isosceles triangle 3. AB = AC and AY = AX 3. Definition of congruency 4. AY • AC = AX • AC 4. Multiplication property of equality 5. AY • AC = AX • AB 5. Substitution property of equality 6. 6. Division property of equality 7. 7. Division property of equality 8. ? 8. ? 9. ?ABC ~ ?AYX 9. SAS similarity theorem Which statement and reason are missing in the proof? ?A ? ?A; reflexive property ?X ? ?X; reflexive property ?ABC ? ?AYX; corresponding angles of similar triangles ?ABC ? ?AXY; corresponding angles of similar triangles
Answer:
The correct option is;
∠A ≅ ∠A ; reflective property
Step-by-step explanation:
1. ΔABC is isosceles with legs AB and AC
ΔAYX is also isosceles with legs AY and AX
2. AB ≅ AC and AY ≅ AX (Definition of isosceles triangle)
3. AB = AC and AY = AX (Definition of congruency)
4. AY · AC = AX · AC (Multiplication property of equality)
5. AY · AC = AX · AB (Substitution property of equality)
6. \(\dfrac{AC}{AX} = \dfrac{AB}{AY}\) (Division property of equality)
7. \(\dfrac{AC}{AX} = \dfrac{AB}{AX}\) (Division property of equality)
8. ∠A ≅ ∠A ; reflective property
9. ΔABC ~ ΔAXY SAS similarity theorem (The two triangles have the same vertex angle A hence they are similar based on the Side Angle Side theorem for uniqueness of triangles.
Answer:
∠A ≅ ∠A; reflexive property
Step-by-step explanation:
i got it right on the unit test..
Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
The event that will have a sample space of S = {h, t} is (a) Flipping a fair, two-sided coin
Which event will have a sample space of S = {h, t}?From the question, we have the following parameters that can be used in our computation:
Sample space of S = {h, t}
The sample size of the above is
Size = 2
Analyzing the options, we have
Flipping a fair, two-sided coin: Size = 2Rolling a six-sided die: Size = 6Spinning a spinner with three sections: Size = 3Choosing a tile from a pair of tiles, one with the letter A and one with the letter B: Probability = 1/2Hence, the event is (a)
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Wayne is going to send some flowers to his wife. Belmont Florist charges $1 per rose, plus $35 for the vase. Darrell's Flowers, in contrast, charges $2 per rose and $10 for the vase. If Wayne orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?
Answer:
there would be a total of 25 roses.
Step-by-step explanation:
the total cost is $60
remove all the perfect sqaures from 15*3y
the expression 15*3y with all perfect squares removed is 9 * 5y, or simply 45y if you prefer not to factor it further.
What is factor?In mathematics, a factor is a number or expression that divides another number or expression exactly, leaving no remainder. For example, 2 and 3 are factors of 6, because 6 can be divided by 2 and by 3 without any remainder. Similarly, (x - 3) is a factor of the expression x^2 - 9, because if we divide \(x^{2}\)- 9 by (x - 3), we get x + 3 with no remainder. Factoring is the process of breaking down a number or expression into its factors. Factoring is an important concept in many areas of mathematics, including algebra, number theory, and calculus.
by the question.
Remove all the perfect squares from 15*3y
The expression 15*3y can be simplified as follows:
15*3y = 45y
To remove all perfect squares from this expression, we need to find the perfect squares that divide into 45.
The prime factorization of 45 is:
45 = \(3^{2}\) * 5
So, the perfect squares that divide into 45 are\(3^{2}\) = 9.
To remove the perfect squares from 45y, we can factor out 9 from 45, and get:
45y = 9 * 5y
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Determine whether the following problem involves a permutation or combination. (It is not necessary to solve the problem.)How many different 2-letter passwords can be formed from the letters H, I, J, K, L, M, and N if no repetition of letters is allowed?
A permutation is an arrangement of outcomes in which the order does matter.
A combination is an arrangement of outcomes in which the order does not matter.
In this case, for example, the password HI is different from the password IH. In both cases, the outcomes (letters H and I) are the same, but the order of them changes the arrangement (the password). Therefore, the problem involves a permutation because the order of letters selected does matter
In circle O, AE and DC are chords and intersect at B. If arc AC is 36 degrees and arc DE is 20 degrees, what is the measure of angle ABC? (Type in numbers only)
Answer: 28
You add 36 and 20 and divided it by 2
could someone please help me with this shape I have to find the perimeter and the area of that shape But I have no clue Where to start from, so could anybody help me figure this out this is very important to me, and please do not Try to give me the wrong answer because I really need the right answer and please do it Step-by-step explanation for the answer
The perimeter of the shape is approximately 20.57 inches.
What is Perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The shape consists of two shapes; a square and 2 semi-circles
Perimeter of square = 4L
where L = 2 inches
Perimeter = 4(2)
Perimeter = 8 inches
Perimeter of Semi-circle = \(\pi r}\)
where \(\pi = 3.142\)
r = 2 inches
Perimeter of Semi-circle = 3.142 x 2
Perimeter of Semi-circle = 6.284 inches
Perimeter of shape = Perimeter of square + 2 x Perimeter of Semi-circle
Perimeter of shape = 8 inches + 2 x 6.284 inches
Perimeter of shape = 8 inches + 12.568 inches
Perimeter of shape = 20.568 inches
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In the number 655,000, what is the relationship between the value of the 5 in the ten thousands place compared to the value of the 5 in the thousands place?
The value of the 5 in the ten thousands place is 10 times greater than the value of the 5 in the thousands place in the number 655,000.
In the number 655,000, each digit represents a specific place value. The digit 5 in the ten thousands place has a value of 50,000, while the digit 5 in the thousands place has a value of 5,000.
To understand the relationship between the two digits, we need to consider the concept of place value. In our decimal system, each digit's value depends on its position in the number. Moving from right to left, each place value is ten times greater than the one before it.
In the case of 655,000, the digit 5 in the ten thousands place is in a position that is 10 times greater than the position of the digit 5 in the thousands place. This means that the value of the 5 in the ten thousands place is 10 times greater than the value of the 5 in the thousands place.
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(-1)^39=
What is the range of the function f (1) 4 when the domain is {-3, 0. 4)? {-10. 0. 4) G. {-10. -4.4) H
Range of a function are the output values of the function:
since the domain is (-3, 0, 4), then we have to substite x with this values:
f(x)=2(-3)-4
f(x)=-6-4
f(x)=-10
f(x)=2(0)-4
f(x)=-4
f(x)=2(4)-4
f(x)=4
Range of the function is (-10, -4, 4)
(C+D) =(3, 1, 2) + (-3, 2, 3)
C + D = (3-3), (1+2), (2+3)
C+D= ?
The vectors C and D when added have a component of (0, 3, 5)
How to complete the sum of the vectorsThe vector summation given from the question is represented as
(C+D) =(3, 1, 2) + (-3, 2, 3)
C + D = (3-3), (1+2), (2+3)
C+D= ?
Using the component-wise addition of vectors, we can add the corresponding components of the two vectors to find the components of their sum:
(C + D) = (3, 1, 2) + (-3, 2, 3) = (3 - 3, 1 + 2, 2 + 3) = (0, 3, 5)
So, the sum of the vectors (3, 1, 2) and (-3, 2, 3) is (0, 3, 5).
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A 14 ounce energy drink contains 10 1/2 teaspoons of sugar. How much sugar is in one ounce of the drink
Answer:
1.33
Step-by-step explanation:
14÷10 1/2= 1.33
What is the slope and 7-intercept of the line on the graph below? B= m= write an equation for this line in slope-intercept form
Answer:
B=m2+72
Step-by-step explanation:
test the claim about the population mean μ at the level of significance α. assume the population is normally distributed. claim: μ>29; α=0.05; σ=1.2 sample statistics: x=29.3, n=50
Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
What is the mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.
To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.
Given:
Claim: μ > 29 (right-tailed test)
α = 0.05
σ = 1.2 (population standard deviation)
Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)
We can follow these steps to conduct the hypothesis test:
Step 1: Formulate the null and alternative hypotheses.
The null hypothesis (H₀): μ ≤ 29
The alternative hypothesis (Hₐ): μ > 29
Step 2: Determine the significance level.
The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.
Step 3: Calculate the test statistic.
For a one-sample t-test, the test statistic is given by:
t = (x - μ) / (σ / √(n))
In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:
t = (29.3 - 29) / (1.2 / √(50))
= 0.3 / (1.2 / 7.07)
= 0.3 / 0.17
≈ 1.76
Step 4: Determine the critical value.
Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).
Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.
Step 5: Make a decision and interpret the results.
If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.
In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.
hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.
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how many times greater is 6 x 10^-6 than 3 x 10^-8
I need this right away and I will do whatever just please help
A. 2 times
B. 20 times
C. 200 times
D. 2,000 times
Answer:
200 times
Step-by-step explanation:
6 * 10^-6= 0.000006
3*10^-8= 0.00000003
0.000006/0.00000003= 200
draw a hypothetical demand curve for tickets to a particular rock concert. use the drop box to upload an image or file containing your demand curve.
The hypothetical demand curve for tickets to a particular rock concert is given in the image attached.
What is the hypothetical demand curve
According to Samuelson: theory, the law of demand states that people buy more at lower prices and less at higher prices when other things remain constant.
Note that by using the image,
Prices of ticket (cent) Demand by consumer
5 35
4 30
3 70
2 80
1 95
Therefore, "Demands curves show how much people will buy the ticket at different prices over time." The Curve shows consumer purchases at different prices.
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What are some equations with -3 as the solution?
Step-by-step explanation:
Here are some equations
\({:}\longrightarrow\sf 3x+9=0 \)
\({:}\longrightarrow\sf x+3=0 \)
\({:}\longrightarrow\sf 6x+18=0 \)
\({:}\longrightarrow\sf x^2-9=0 \)
\({:}\longrightarrow\sf x+7=4 \)
Help me please and thank you
Answer:
4.2 hours
Step-by-step explanation:
He spends 6 hours helping customers and 1.8 doing paperwork.