Answer: The correct answer is B.
Step-by-step explanation: To simplify a square root, you take the factors of the value in the square root and see the greatest factor that is a square. In this case, 49 is the greatest square factor of 98. You take the square root of 49, which is 7. 7 goes outside the radicand. Leave 2 inside the radical because 49 x 2 = 98. Hence, the correct answer is B.
4 cm on a map are equal to 5 km in real life. If two points are 16 cm apart on the map, how far apart are they in real life? *
Answer:
20km if 4cm=5km then 16cm=20km
What is the value of x? Z=(2x-4)°. Y=5y°
Enter your answer in the box. X=
The value of x is (5y + 4) divided by 2.
To find the value of x, we need to equate the given expressions for Z and Y to their respective angles and solve for x and y.
Given:
Z = (2x - 4)°
Y = 5y°
We can equate Z and Y and solve for x:
(2x - 4)° = 5y°
To isolate x, we'll first isolate the term (2x - 4):
2x - 4 = 5y
Now, let's solve for x:
2x = 5y + 4
Dividing both sides by 2:
x = (5y + 4) / 2
Therefore, the value of x is (5y + 4) divided by 2.
Please note that we cannot determine the exact value of x without knowing the value of y. If you have a specific value for y, you can substitute it into the equation to find the corresponding value of x.
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The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?
Answer:
(-2, -1)
Step-by-step explanation:
The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.
If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)
Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.
If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.
Hope this helps :)
Choose the product.
-5p 3(4p 2 + 3p - 1)
--------------------------------
-20p 5 - 15p 4 + 5p 3
-20p 6 - 15p 4 - 5p 3
-20p 5 + 3p - 1
20p 5 + 15p 4 - 5p 3
Answer:
-20p 5 - 15p 4+ 5p 3
Step-by-step explanation:
Write 2.04 x 10^-4 in standard form.
Answer:
0.000214
Step-by-step explanation:
Write each of the following in scientific notation.
a. 1,000,000 _______
b. .00005 _______
c. 40 thousand _______
d. 7 trillion _______
e. 8 thousandths _______
f. one tenth _______
Scientific notation is the way through which a very small or a very large number can be written in shorthand. The given following number or sentences can be written in the form of scientific notation as shown.
What is Scientific notation?Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12 or 6.5×10¹².
The given following number or sentences can be written in the form of scientific notation as shown below.
a.) 1,000,000 = 1×10⁶ = 1e+6
b.) .00005 = 5×10⁻⁵ = 5e-5
c.) 40 thousand = 40,000 = 4×10⁴ = 4e+4
d.) 7 trillion = 7,000,000,000,000 = 7×10¹² = 7e+12
e.) 8 thousandths = 0.008 = 8×10⁻³ = 8e-3
f.) one tenth = 0.1 = 1×10⁻¹ = 1e-1
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The equation of the line in this graph is y = ____x + ____.
Answer:
y=3/2x+3
Step-by-step explanation:
The equation is in y=mx+b format. m is the slope, or steepness of the line, while b is the y intercept (where the line crosses with the y axis).
The given line shows the y intercept; it's 3.
To find the slope, use this equation: y2-y1/x2-x1
Pick any two points and plug them into the equation. For example, use (0,3) (y intercept) and (-2, 0) (x intercept.)
now,
3-0/0-(-2)
3/2
the slope is 3/2.
Now, the line is
y=3/2x+3.
Factor completely 4xy−24y−x+6
According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?
A. 34% and 40%
B. 23% and 26%
C. 17% and 26%
D. 25% and 27%
E. 34% and 26%
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.
In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.
Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.
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What number is 4/7 of 210
Answer:
4 / 7 of 210 is 120.
(4 / 7) * 210 = 120
Answer:
4/7 x 210
=4x 30=120
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Is the following relation a function?
Answer:
i d k so ima just say no
Step-by-step explanation:
A playground area is going to be built in a zoo park. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot. How much will it cost to install the rubber chips?
Answer:
$2075.75
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information;
rubber chips costs $52.50 per square foot
We need to find the area of the playground,
1. We find the area of the rectangle:The length: 8ft
The width: 4 ft
=> the area of it is: 8*4 = 32 square foot.
2. We find the area of the 1st identical trianglesThe base: 3 ft
The height: 2 ft
=> the area of it is = 1/2*3*2 = 3 square foot.
3. We find the area of the 2nd identical trianglesThe base: 3 ft
The height: 3 ft
=> the area of it is = 1/2*3*3 = 9/2 square foot.
=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.
So the total cost to install the rubber chips is:
= 39.5 * $52.5
= $2075.75
Hope it will find you well.
The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
First, we find the area of the rectangle = (8+3)×4 = 44 square feet
Area of the two triangle = 2(1/2)[2×3] = 6 square feet
Area of the complete figure = 44+6 = 50 square feet
Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
Total cost = 50×52.50 = $2625
Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
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What are exponents and how do you evaluate them?
Answer:
Exponents, often known as powers, are a type of mathematical notation that shows how many times a base value should be multiplied by itself. They are frequently stated as a base value raised to the power of an exponent. For instance, 3^2 represents 3 to the power of 2, which is 3 x 3 = 9.
To evaluate an exponent, do the multiplication specified by the exponent. 533, for example, is 5 increased to the power of 3, which becomes 5 x 5 x 5 = 125. If the exponent is negative, it signifies that the reciprocal of the base value should be multiplied by itself the number of times specified by the exponent's positive version. For example, 2(-3) denotes the reciprocal of 2, 1/2 increased to the power of 3, which is (1/2) x (1/2) x (1/2) = 1/8.
Furthermore, exponents can be coupled utilising exponent laws such as the product law, power law, and quotient law. These principles allow for the simplification and manipulation of exponentiated expressions.
14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people
what additional information could be used to prove that the triangles are congruent using aas or asa? select three options. angleb ≅ anglep and bc ≅ pq anglea ≅ anglet and ac
The additional information that could be used to prove congruence using AAS or ASA is: Angle A ≅ Angle T and AC (ASA) Angle A ≅ Angle T and BC ≅ PQ (ASA).
To prove that two triangles are congruent using the Angle-Angle-Side (AAS) or Angle-Side-Angle (ASA) criteria, we need specific information about the angles and sides of the triangles.
In this case, we are given three options, and we need to determine which combination of angles and sides would be sufficient to prove congruence using AAS or ASA.
To prove congruence using AAS, we need to show that two angles and the side between them in one triangle are congruent to the corresponding angles and side in the other triangle.
For the given options:
Angle B ≅ Angle P and BC ≅ PQ: This information alone is not sufficient to prove congruence using AAS or ASA. We need additional information about another angle or side in order to establish congruence.
Angle A ≅ Angle T and AC: This option provides information about an angle and a side. If we also have additional information about another angle or side, we can use the Angle-Side-Angle (ASA) criterion to prove congruence.
To determine the third option, we need to consider the remaining combinations of angles and sides:
Angle A ≅ Angle T and BC ≅ PQ: This option provides information about an angle and a side. If we also have additional information about another angle or side, we can use the Angle-Side-Angle (ASA) criterion to prove congruence.
In summary, the additional information that could be used to prove congruence using AAS or ASA is:
Angle A ≅ Angle T and AC (ASA)
Angle A ≅ Angle T and BC ≅ PQ (ASA)
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use the graph to evaluate the function below for specific inputs and outputs
Answer:
b
Step-by-step explanation:
A recent survey of 2500 college students revealed that during any weekend afternoon, 1480 receive a text message, 920 receive an e-mail and 547 receive both a text message and an e-mail. Suppose a college student is selected at random, what is the probability that he/she neither receives a text message nor an email during any weekend afternoon?
The probability that he/she neither receives a text message nor an email during any weekend afternoon be 0.3000.
What is meant by probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Using the method for the union of two sets, we can calculate the number of students who receive either a text message or an email (or both) based on the above data:
Number of students who receive either a text message or an e-mail = Number of students who receive a text message + Number of students who receive an e-mail - Number of students who receive both
= 1364 + 857 - 470
= 1751
The proportion of students who don't receive either a text message or an email divided by the total sample of students is the probability that a student will not receive either:
P(neither T nor E) = (2500 - 1751) / 2500
= 749 / 2500
= 0.2996
Rounding to four decimal places:
P(neither T nor E) = 0.2996 ≈ 0.3000
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If x = 14, what value of y is a solution to this equation?
A. -7
B. -8
C. -10
D. -30
Answer:
Step-by-step explanation:
its c for sure i got it right on a test
The value of y is -8.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the graph,
Two coordinates are (-2, 0) and (2, -2)
m = (-2 - 0) / (2 + 2) = -2/4 = -1/2
Now,
The equation of a line is y = mx + c.
(-2, 0) = (x, y)
y = mx + c
0 = (-1/2)(-2) + c
0 = 1 + c
c = -1
Now,
y = (-1/2)x - 1
Substitute x = 14.
y = (-1/2) x 14 - 1
y = -7 - 1
y = -8
Thus,
The value of y is -8.
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What is a linear number equation ? I don’t understand
Answer:
How do you explain a linear equation?
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of linear equation is y=mx + b. "Linear equation."
Step-by-step explanation:
In mathematics, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.
1 of 6
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Solve
x² - 23x + 132 < 0
Answer:
11<x<12
Step-by-step explanation:
the cost that varies depending on the values of the decision variables is a
A cost that varies depending on the values of decision variables is a variable cost. This type of cost changes in proportion to changes in the production or sales volume.
Variable costs are expenses that fluctuate with changes in the level of production or sales. These costs are directly tied to the quantity of goods or services produced or sold, and they increase or decrease as the production or sales volume changes. Common examples of variable costs include materials, labor, and direct expenses associated with producing a product or providing a service. As the production or sales volume increases, the variable cost per unit decreases, due to economies of scale. Conversely, as production or sales volume decreases, the variable cost per unit increases, due to diseconomies of scale. Understanding variable costs is essential for businesses to accurately calculate their costs of goods sold, determine their break-even point, and make informed decisions about pricing and production levels.
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(8x³+1-6x) - (7x³+3+7x)
Express 2.7 as a fraction of 3.6 giving your ansver as a fraction
in its lowest terms.
3 balloon + 2 cakes = £19
9 balloon + 3 cakes = £42
work out:
1 balloon in £
1 cake in £
Step-by-step explanation:
3 balloons + 2 cakes = £19
=> 9 balloons + 6 cakes = £57 (multiply by 3)
9 balloons + 6 cakes = £57
- (9 balloons + 3 cakes = £42)
=> 3 cakes = £15, 1 cake = £5.
Therefore 3 balloons + 2(£5) = £19,
3 balloons = £9, 1 balloon = £3.
Hence each balloon is £3 and each cake is £5.
Which of the following is the Pythagorean Theorem?
Answer:
c
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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In theâ U.S., shoe sizes are defined differently for men andâ women, but inâ Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female collegeâ students, converted from their reported U.S. shoe sizes.âa) Describe the shape.âb) How many modes does the histogramâ have? What might explainâ that?
a) The shape of the histogram appears to be roughly symmetric and bimodal.
b) The histogram appears to have two modes, explanation is given below.
c) D option is correct.
a) The shape of the histogram appears to be roughly symmetric and bimodal.
b) The histogram appears to have two modes, which may be due to the fact that the data includes both male and female students. The two modes may correspond to the average shoe sizes for men and women, respectively.
c) D option is correct. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.
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____ The given question is incomplete, the complete question is given below:
In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes.
a) Describe the shape.
view the histogram (The distribution is roughly symmetric and bimodal.)
b) How many modes does the histogram have? What might explain that?
c) Choose the correct answer below.
A. The distribution is multimodal, with modes from 38 to 40, from 44 to 46, and from 48 to 50. This may be due to having data for both men and women. The first two modes might be for women and the third for men.
B. The distribution has one mode from 44 to 46. This is due to the students having roughly the same mean shoe size.
C. The distribution has one mode from 38 to 40. This is due to the students having roughly the same mean shoe size.
D. The distribution has two modes from 38 to 40 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.
E. The distribution has two modes from 34 to 36 and from 44 to 46. This may be due to having data for both men and women. The lower mode might be for women and the upper for men.
F. The distribution is multimodal, with modes from 34 to 36, from 40 to 42, and from 43 to 50. This may be due to having data for both men and women. The first two modes might be for men and the third for women
G. The distribution does not have any modes, because it is uniform i Shoe Sizes Count.
suppose that a particle moves along a straight line with velocity defined by v(t) = t2 − 2t − 24, where 0 ≤ t ≤ 6 (in meters per second). find the displacement (in meters) at time t.
To find the displacement of the particle at time t, we need to integrate its velocity function v(t) over the interval [0, t]:
s(t) = ∫v(t) dt
s(t) = ∫(t^2 - 2t - 24) dt
s(t) = (1/3)t^3 - t^2 - 24t + C
where C is the constant of integration.
To find the value of C, we need to use the initial condition that the particle is at the position s(0) = 0. Substituting t = 0 and s(0) = 0 into the above equation, we get:
0 = 0 + 0 - 0 + C
C = 0
Therefore, the displacement of the particle at time t is given by:
s(t) = (1/3)t^3 - t^2 - 24t
To find the displacement over the entire interval [0, 6], we can substitute t = 6 into the above equation:
s(6) = (1/3)(6^3) - 6^2 - 24(6)
s(6) = 36 - 36 - 144
s(6) = -144
Therefore, the displacement of the particle over the interval [0, 6] is -144 meters.
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The expression 3.14 x 103 is scientific notation for which of the following values?
Answer:
Dear Johnson,
Answer to your query is provided below
The expression 3.14 x 10^3 is scientific notation for 3,140.
Step-by-step explanation:
The purpose of scientific notation is to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10^b
Follow the steps below to see how 3,140 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 3,140
New Number: 3.140
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 3 . 1 4 0
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10^b
a = 3.14 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
3.14 x 10^3
Step 4
Check your work:
10^3 = 1,000 x 3.14 = 3,140
The unit rate of change of Y with respect to X is the amount Y changes for a change of one unit in X
The table below represents a proportional relationship with a constant unit rate of change of Y with respect to X
Which describes a greater unit rate of change of Y with respect X, the equation y=0.25x or the table?
Choose 1 answer:
A. The table
B. The equation
C. The unit rates are the same
By calculating the slope, we can say that the table best describes the change in Y with respect to X.
What is slope?Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Equation of line is y = mx + c where m is the slope.
Similarly, in y = 0.25x, 0.25 is the slope.
For the table, we need to calculate slope.
\(m = \frac{y2 - y1}{x2 - x1}\)
\(m = \frac{0.8-0.4}{2-1}\)
m = 0.4
As we compare, it is clear that the slope calculated from the table is greater.
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