How do you write 9.6 × 103 in standard form?
Round-off 108.76 to the nearest tens.
Answer:
108
You rounded to the nearest tens place.
The 0 in the tens place rounds up to 1
Step-by-step explanation: because the digit to the right in the ones place is 8.
110
When the digit to the right is 5 or greater we round away from 0.
108 was rounded up and away from zero to 110
solve for x in the following diagram
The measure of the side length x is 15.04.
What is the measure of the side length x?The figure in the image is a right triangle.
Angle θ = 43 degrees
Adjacent to angle θ = 11
Hypotenuse = x
To determine the measure of the side length x, we use the trigonometric ratio.
Note that: cosine = adjacent / hypotenuse
Plug in the values:
cos( 43° ) = 11 / x
Solve for x
x = 11 / cos( 43° )
x = 15.04
Therefore, the value of x is 15.04 units.
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Read the piccture and thank you
Malik opens a savings account with an initial deposit of $2500. The account earns 2.1% annual interest compounded quarterly? Round to the nearest cent.
Answer:
Step-by-step explanation:
Maggie spent $16 on rock climbing. This included a $6 charge for climbing shoes and a $2.50 charge per hour she climbed. If h represents the number of hours she climbed for, write an equation that can be solved to find the number of hours she spent rock climbing.
Answer:
16 = 6+2.5h
Step-by-step explanation:
The total cost is 16 dollars. She spends 6 dollars for shoes and 2.50 per hour.
16 = 6+2.5h
To solve, subtract 6 from each side
16-6 = 6+2.5h-6
10 = 2.5h
Divide each side by 2.5
10/2.5 = 2.5h/2.5
4 =h
She can climb for 4 hours.
What is the unknown value that makes this statement true:
25% of _ is 30
Answer:
120
Step-by-step explanation:
25% is equal to 1/4. If you divide 30 by 1/4 you get 120. To check this, if you multiply 120 by 1/4 you get 30.
Answer: 120
Step-by-step explanation:
In order to find the missing value, divide the provided value by the percentage as follows:
30 / 0.25 = 120
This can be double-checked by plugging the number into the statement afterwards: 25% of 120 is 30, which is true
find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
The incorrect statement is b. When an aeroplane takes off, the work done by its weight is negative.
The inaccurate assertion is:
b) When a plane removes, the work done by its weight is positive.
The right assertion is:
b) When a plane removes, the work done by its weight is negative.
Clarification:
At the point when a plane removes, the work done by the heaviness of the plane is negative in light of the fact that the weight acts the other way to the dislodging of the plane. As indicated by the work-energy hypothesis, work done by the heaviness of the plane will diminish its motor energy, and that implies that the work done is negative. Hence, articulation (b) is inaccurate.
a) Work and energy have various units.
This assertion is right. Work has units of Joules (J) and energy additionally has units of Joules (J), however they are not exactly the same thing.
c) The possible energy of spring increments when it is broadened and diminishes when it is packed.
This assertion is right. The potential energy put away in a spring is straightforwardly corresponding to its expansion or pressure. While a spring is broadened, its potential energy increments, and when it is packed, its potential energy diminishes.
d) On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.
This assertion is right. On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.
The work-energy hypothesis expresses that the net work done on a framework is equivalent to the adjustment of its motor energy, and in the event that the net work is negative, the dynamic energy diminishes, and that implies that the energy of the framework diminishes.
e) When a body is falling unreservedly from a level, its dynamic energy stays consistent.
This assertion is erroneous. At the point when a body is falling unreservedly from a level, its potential energy is changed over into dynamic energy as it falls. Hence, its motor energy increments as it falls, and its potential energy diminishes.
f) The unit of force is watt.
This assertion is right. The unit of force is watt (W), which is characterized as the pace of taking care of business or the pace of move of energy.
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The complete question is:
Identify the wrong statement among the following. Rewrite them by making necessary corrections.
a) Work and energy have different units.
b) When an aeroplane takes off, the work done by its weight is positive.
c) The potential energy of spring increases when it is extended and decreases when it is compressed.
d) If the work done by external forces on a system is negative then the energy of the system decreases.
e) When a body is falling freely from a height, its kinetic energy remains constant.
f) The unit of power is watt.
Add: -8x8 + (-3x8 + 3)
Enter the correct answer.
How to write 1/4 (x-12) in words
Answer:
To write 1/4 (x - 12) in words, you would say "one-fourth of the quantity obtained by subtracting 12 from x."
The radius of a cylindrical water tank is 6 ft, and its height is 16 ft. Helpppppp I’m running out of time
What is the volume of the tank?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
6 ft
16 ft
0
ft
Answer:
V ≈ 1809 ft^3
Step-by-step explanation:
Given:
r (radius) = 6ft
h (height) = 16ft
π = 3,14
Find: V (volume) - ?
[tex]v = \pi {r }^{2} \times h[/tex]
[tex]v = 3.14 \times {6}^{2} \times 16 ≈1809 \: {ft}^{3} [/tex]
< Question 6 of 6
Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x-axis.
0
y=x²³ +b
Assume a = 2 and b = 2.
(Use symbolic notation and fractions where needed.)
volume:
Answer:
Step-by-step explanation: 5
Sally is putting her dominions back into their storage tin. She wants to know how many dominoes can fit in the tin. While placing the dominoes in the tin, she counts how many dominos can be stacked on top of each other and she finds that to be 3 dominoes. She counts how many can be set side-by-side and she finds that to be 9 dominoes. Finally she counts how many can be placed end-to-end in the tin and she finds that to be 4 dominoes. Sally knows she can use addition to figure out how many total dominoes fit in the tin. She also knows that 27 dominoes fit in one row in the tin when she stacks up as many as she can in that row. Write an expression using only addition to show how Sally can determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked
The expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is (Number of rows stacked ÷ 0.75) x (9 x 4)
Sally can use the fact that she can fit 3 dominoes stacked on top of each other, 9 dominoes side-by-side, and 4 dominoes end-to-end in the tin to figure out how many dominoes can fit in the tin. Since she knows that 27 dominoes fit in one row stacked, she can use addition to determine the total number of dominoes that can fit in the tin.
First, she can find the number of dominoes that can fit in one layer of the tin by multiplying the number of dominoes that fit side-by-side and the number that fit end-to-end: 9 x 4 = 36.
Then, she can divide the total number of dominoes that fit in one row (27) by the number of dominoes that can fit in one layer (36): 27 ÷ 36 = 0.75.
This means that each layer of the tin can hold 0.75 rows of dominoes.
To find the total number of dominoes that can fit in the tin, Sally can multiply the number of layers by the number of dominoes in each layer: Number of layers x Number of dominoes in each layer = Total number of dominoes that can fit in the tin.
Therefore, the expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is:
Total number of dominoes = Number of layers x Number of dominoes in each layer
Total number of dominoes = (Number of rows stacked ÷ 0.75) x (9 x 4)
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Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
if the area of the triangle is 8 15/16ths and the base is 5 1/2, what is the height
Answer:
h=.34
Step-by-step explanation:
1/2(bh)=A
1/2(5.5*h)=8.9375
5.5h=1.875
h=.34
Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure.
A(-7,-2)A(−7,−2), B(-3,1)B(−3,1), C(-3,4)C(−3,4), D(5,4)D(5,4), E(5,-6)E(5,−6), F(-3,-6)F(−3,−6), G(-3, -2)G(−3,−2)
The total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) has been found as 51 square units.
What is a Graph?A graph is described as a mathematical representation of a network and it describes the relationship between lines and points.
The first step is to divide the figure is into two rectangles and a triangle.
we notice that the points B, C, E, and F will form a rectangle with base BC and height of 7 units.
We also notice that the points A, D, and G form a rectangle with base AG and height 5 units.
we notice that points C, D, and E form a triangle with base CE and height 4 units.
we notice that the length of BC is 4 - 4 = 0, therefore the area of the rectangle with base BC is 0.
The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.
In conclusion, the total area of the figure with points A(-5,4), B(4,4), C(4,1), D(1,1), E(4,-3) F(4,-6), G(-5, -6) is 45 + 6 = 51 square units.
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An angle measures 132 . What is the measure of its supplement
Answer: 48
Step-by-step explanation:
180-132=48
Answer:
48
Step-by-step explanation:
angle = 132
supplementary angle = 180
measure of supplementary angle = 180 - 132 = 48
thus the measure of the supplement is 48
hope you got your answer.
I’m not sure how to do the graph and it’s not letting me advance :(
Y=85.468x+ 985.029
R=0.988
To plot the above linear regression on a graph, follow the procedures outlined below.
What are your options?You may use the following steps to plot the supplied data on a graph:
1) Create an x- and y-axis coordinate plane.
2) Label the x-axis with the numbers 1 through 13 (to represent the 13 data points).
3) Label the y-axis with a suitable scale that encompasses the data's greatest and lowest values (e.g., 0 to 2200 with 200 increments).
4) For each point, try to find the associated x -value on the x-axis and the corresponding y-value on the y- axis, and then place a point at the intersection of the two values.
For example, if the first point is (1, 1000), you would identify the x-axis point labeled "1" and the y-axis point labeled "1000" and add a point at it intersection.
5) based on the pattern in the data, connect the points of the coordinares using a line or a curve. Because the data appears to increase gradually with some fluctuations in this case, a line connecting the points would be appropriate.
After plotting the data on the graph, you may study the pattern and draw inferences about the data's trend over time. Please see the attached sample graph.
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Find the surface area of the composite solid to the nearest hundredth.
3 ft.
4 ft
2 ft
The surface area is about
square feet.
snip, that's wrong nvm (not sure how to delete)
Is this correct for problem 15?
The solution to the given inequality is: 10 > x ≤ 12
How to solve Inequality expressions?Inequalities are defined as mathematical expressions that involve the symbols >(greater than), <(less than), ≥(greater than or equal to) and ≤(less than or equal to).
In order for us to 'solve' an inequality, we have to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.
We are told that the angle (9x + 7)° is greater than 97° and at most 118°
Thus:
9x + 7 > 97
9x > 90
x > 10
Similarly:
9x + 7 ≤ 115
9x ≤ 108
x ≤ 12
Thus, the solution to the inequality is: 10 > x ≤ 12
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real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home. To do so, the agent obtained a list of 10 comparable homes just listed for sale that were currently empty. He randomly assigned 5 of the homes to be "staged," meaning filled with nice furniture and decorated. The owners of the 5 homes all agreed to have their homes staged by professional decorators. The other 5 homes remained empty. The hypothesis is that empty homes are not as appealing to buyers as staged homes and, therefore, sell for lower prices than staged homes. The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. A dotplot of each sample shows no strong skewness and no outliers.
Real-estate agent tested the effect of staging on home sale prices. Out of 10 comparable homes, 5 were staged. Staged homes sold for $15k more on average, with no skewness or outliers.
Based on the information given, the real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home.
The hypothesis is that empty homes sell for lower prices than staged homes. The agent randomly assigned 5 empty homes to be staged and obtained a list of 10 comparable homes.
The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. There was no strong skewness or outliers in the dot plots of the two samples.
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The area of the rectangle shown is 352 square inches. What are the dimensions of the rectangle? Write the dimensions from least to greatest.
Length= 4x Width= x+3 Area=352
Answer:
11 in and 32 in-------------------------
Given a rectangle with dimensions of:
l = 4x in, w = x + 3 in,And area of A = 352 in²Use area equation and find the value of x:
A = lw352 = 4x(x + 3)88 = x(x + 3)88 = x² + 3xx² + 3x - 88 = 0x² + 11x - 8x - 88 = 0x(x + 11) - 8(x + 11) = 0(x - 8)(x + 11) = 0x = 8 or x = - 11The second root is ignored as being negative.
The dimensions of the rectangle are:
l = 4*8 = 32 inw = 8 + 3 = 11 inwhat is the area of a parallelogram if base is 1 1/4 mi and the heigh is 3/4 mi.
Answer:
Step-by-step explanation:
A=4
b Base
1
h Height
4
b
h
a
h
h
b
a
a
P
A
b
Solution
A=bh=1·4=4 hope helps byee
Helpppppp pleaseeeee
The resulting matrix from an elementary row operation to get a 1, in row 1 column 1 is:
R₁ = [1 4 -8] and R₂ = [2 4 7]
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
The row operation R₁ - 4 — R₁ will be carried out as follows:
5 - 4 = 1 {row 1 column 1}
9 - 4 = 5 {row column 2}
-4 - 4 = -8 {row column 3}
Therefore, the resulting matrix from an elementary row operation to get a 1, in row 1 column 1 will have:
R₁ = [1 4 -8] and R₂ = [2 4 7]
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Assume that women's heights are normally distributed with a mean given by μ = 63.6 in, and a standard deviation given by a = 2.5 in. Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that her height is between 62.9 in and 63.9 in.
The probability is approximately
(Round to four decimal places as needed.)
The probability that the woman's height is between 62.9 in and 63.9 in is 0.1580
Calculating the probability of values from the the z-scoresFrom the question, we have the following parameters that can be used in our computation:
Mean = 63.6Standard deviation = 2.5Age = between 62.9 and 63.9So, the z-scores are
z = (62.9 - 63.6)/2.5 = -0.28
z = (63.9 - 63.6)/2.5 = 0.12
i.e. between a z-score of -0.28 and a z-score of 0.12
This is represented as
Probability = (-0.28 < z < 0.12)
Using a graphing calculator, we have
Probability = 0.1580
Hence, the probability is 0.1580
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A diamond ring was bought a number of years ago for R3 180,00. The value of the ring increases by 4% per year. Answer the following questions: a. Determine the exponential function that describes the value of the ring after t years. b. Determine the value of the ring nine years after it was bought Choose the correct answers. Select one: a. C. a. V(t) = 3 180,00(1,4)* b. a. V(t) = 3 180,00 × (1+0,04)* b. R4 352,04 d. a. V(t) = (3180,00 × 1,04)* b. R4 526,13 a. V(t) = 3 180,00 x 1,04 b. R4184,66 b. R4526,13
Victor jumped 6 feet high and then 2 more yards. How many yards did he jump in all?
As per the given variables, Victor jumped a total of 4 yards.
Total yards jumped = 6 feet high
Additional yards = 2
A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.
Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.
There are 3 feet in a yard, therefore -
6 feet = 6/3
= 2
Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.
Calculating, the total distance Victor jumped in yards -
= 2 + 2
= 4
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PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT
A formula for y in terms of x and c is y = c⁵√x
How to determine the expressionIn inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.
From the information given, we have that;
y ∝1/√x
Now, let's find the constant value, k, we have;
y√x = k
We have that their values are;
y = c⁴, x = c²
Substitute the values, we have;
c⁴√c² = k
k = c⁵
Now, substitute the values
y = k√x
y = c⁵√x
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Find sin (ñ/4). Round to 3 decimal places.
Answer:To find sin(π/4), we can use the fact that sin(π/4) = sin(45°). We also know that sin(45°) = 1/√2 or approximately 0.707 (rounded to 3 decimal places). Therefore, sin(π/4) is approximately equal to 0.707.
Step-by-step explanation:
5. Complete the following table. (HINT: determine the reference angle and the quadrant of each angle.)
The given angles are 7π/4, 10π/3 & 510°.
Calculations for 7π/4(4th Quadarant)
sin(7π/4) = -1/√2
cos(7π/4) = 1/√2
tan(7π/4) = -1
cosec(7π/4) = -√2
cot(7π/4) = -1
sec(7π/4) = √2
Calculations for 10π/3(3rd Quadarant)
sin( 10π/3) = -√3/2
cos(10π/3) = -1/2
tan(10π/3) = √3
cosec(10π/3) = - 2/√3
cot(10π/3) = 1/√3
sec(10π/3) = -2
Calculations for 510°(2nd Quadarant)
sin( 510°) = 1/2
cos(510°) = -√3/2
tan(510°) = -1/√3
cosec(510°) = 2
cot(510°) = -√3
sec(510°) = -2/√3
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