The worker earns $10 an hοur, and works for 10 hours a day for 10 days. So the total amount earned befοre the vacation is [tex]10^3$.[/tex]
What is the coefficient?
In algebra, a coefficient is a numerical factοr that is placed in front of a variable οr a term. It is the number that is being multiplied by the variable or term. For example, in the expressiοn 4x, the coefficient is 4.
1) The worker earns $10 an hour, and wοrks for 10 hours a day for 10 days. So the total amount earned befοre the vacation is:
[tex]10 \cdot 10 \cdot 10 = $1000[/tex]
Therefore, the correct answer is [tex]$$103$[/tex], which is [tex]10^3$.[/tex]
2) [tex]$3^4$[/tex] is equal to 81, since [tex]3^4=3\times3\times3\times3=81$.[/tex]
Therefore, the answer is 4.
3) The variables in the equation y=3x−4 are x and y.
Therefore, the answer is x and y.
4)The expression for the total area of the sign that needs to be painted is
[tex]$$3S^2 - 2s^2$$[/tex]
5)We substitute a = 2, b = 3, and c = 8 in the given expression:
[tex]a^5 - bc + 4a/c[/tex]
[tex]= 2^5 - (3)(8) + (4)(2)/8[/tex]
[tex]= 32 - 24 + 1/2[/tex]
= 8.5
Therefore, a5 − bc + 4a ÷ c, when a = 2, b = 3, and c = 8, is 8.5.
6)The expression is t = 1m + 24, where m is the number of miles driven.
To find the total cost when 135 miles are driven, we substitute m = 135 into the expression:
t = 1(135) + 24 = 135 + 24 = $159
Therefore, the total cost of renting the truck for 135 miles is $159.
7)The expression 5p translated into words is "the product of 5 and a number p".
8)In the equation 9c=18, 9 is the coefficient of the variable c. A coefficient is a numerical factor that is placed in front of a variable or a term in an algebraic expression.
It indicates how many times the variable or the term is being multiplied. In this case, 9 is being multiplied by the variable c to produce 18. Therefore, 9 is the coefficient of c.
9)The coefficient is the numerical factor that is multiplying the variable in a term. In the given expression, there is only one term with a variable, which is 8b.
Therefore, the coefficient of 8b is simply 8.
10)We can simplify the expression using the order of operations (PEMDAS):
First, we need to evaluate 4 ÷ 4, which equals 1.
So, the expression becomes:12 - 1 + 3 + 1
Next, we add and subtract from left to right:
12 - 1 equals 11, then 11 + 3 equals 14, and finally 14 + 1 equals 15.
Therefore, the simplified expression is 15.
11) The correct pairing of a property of operations and its example is:
2(a+3) = 2a+6; Distributive Property.
12) To simplify the expression, we first use the distributive property to remove the parentheses: 2(x+3) + 4(x+1) = 2x + 6 + 4x + 4
Then, we combine like terms:2x + 4x + 6 + 4 = 6x + 10
Therefore, the expression 2(x+3) + 4(x+1) is equivalent to 6x+10.
Answer: 6x+10
13) Starting with the expression: 2(a+5)+4(2a+3)−10
We can apply the distributive property to simplify the expression inside the parentheses: 2a + 10 + 8a + 12 - 10
Then, we can combine like terms: 10a + 12
So the expression equivalent to the original expression using the associative and commutative properties is: 10a + 12
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Next number in pattern
7,11,12,18,-7?
Answer:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
Step-by-step explanation:
7,8,10,14,22,?
Let the unknown be X.
Observing the pattern, we get
8–7 = 1
10–8 = 2
14 - 10 = 4
22 -14 = 8
X - 22 = 16
( Because the difference, is the Geometric Sequence, with common ratio = 2).
Therefore,
X = 22 + 16 = 38
The next term in the given sequence is 38.
Can someone help me with thisss???? Nowww
-2x-6>3x+14
Answer: x < - 4
Step-by-step explanation:
[tex]-2x-6 > 3x+14\\\\-2x-6+6 > 3x+14+6\\\\-2x-6+6 > 3x+14+6\\-2x > 3x+14+6\\-2x-6+6 > 3x+14+6\\-2x > 3x+20\\-2x-3x > 3x+20-3x\\-5x > 3x+20-3x\\-5x > 20\\\frac{-5x}{5} < \frac{20}{-5} \\x < \frac{20}{-5} \\x < -4\\-2x-3x > 3x+20-3x\\x < -4[/tex]
A painter poured 3/16 gallon of red paint and 5/16 gallon
of green paint into a bucket, how much paint is in the
bucket? Simplify if possible.
Answer:
3
12x2=
8L
Step-by-step explanation:
Given:
Required ratio of yellow paint to the blue paint =3:2
Amount of yellow paint used =12 L
Therefore,
Amount of blue paint used =
3
12×2
=8 L
Which choice is equivalent to the quotient below?641616 64 A.2B.4444 C.8228 D.22
Answer:
The answer is 2 babe....
picture listed below
The second i.e. reflecting first across y-axis and then x -axis and the third i.e. reflecting and rotating counterclockwise about origin, sequences of transformation will map the figures.
What is transformation?
A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object.
Although Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.
We are given coordinate axis with two figures ABCD and EFGH.
In order to map the figures, we can reflect the figure across y - axis first and then across x - axis. This transformation will map the figure.
Also, another sequence can be reflecting the figure in origin and then rotating it 90° counter clockwise about the origin.
Hence, the second and third sequences of transformation will map the figures.
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The side of a square equals the width of a rectangle. The length of the rectangle is 26 meters longer than its width. The sum of the areas of the square and the rectangle is 280 square
meters. Find the side of the square.
2
The side of the square is meters.
Answer:
the side of the square is approximately 8.29 meters.
A veterinarian says that 0.6 of his current cat patients are in need of an inoculation. If he has 238 cats as patients, about how many do not need inoculations?
Using percentages we know that 143 patients out of 238 are in need to take the inoculation.
What are percentages?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.
If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The proportion, therefore, refers to a component per hundred.
Per 100 is what the word percent means. The letter "%" stands for it.
So, the number of patients is:
238
The percentage of patients that needs inoculation:
0.6 which is 60
Now, calculate:
= 238/100 * 60
= 142.8
Rounding off: 143
Therefore, using percentages we know that 143 patients out of 238 are in need to take the inoculation.
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Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot
This line plot shows the measurements of cars and trucks in half-inch increments from 3 inches to 12 inches.
What is line plot?A line plot, also known as a dot plot or a dot chart, is a simple graph that displays data along a number line. In a line plot, each data point is represented by a dot or other symbol above its location on the number line. The dots are used to indicate the frequency or number of times each value occurs in the data set. Line plots are often used to display small to moderate-sized data sets and are especially useful for displaying categorical or discrete data. They are simple to create and interpret, making them a popular tool in data analysis and visualization.
Here,
A line plot is a graph that displays data along a number line, with X's or other marks above each value to indicate how many times it appears in the data set. To create a line plot from the measurements of the cars and trucks, you would follow these steps:
Choose a scale for the number line that includes all the measurements. For example, you could use a scale where each unit represents 1 inch, and the number line goes from 0 to 12 inches.
Make a dot for each measurement at the corresponding location on the number line. For example, if a car measures 5.5 inches, you would make a dot above the number 5.5 on the number line.
Repeat step 2 for each measurement, placing each dot above the corresponding value on the number line.
Count the number of dots above each value on the number line and make an X or other mark above the corresponding value to indicate how many times it appears in the data set.
Connect the X's or marks above each value to create a line that shows the frequency of each measurement.
Here is an example of what the completed line plot might look like:
X
3 X
3 X X
4 X X
4 X X
5 X X
5 X X X
6 X X X
6 X X X
7 X X X
7 X X X
8 X X X
8 X X X
9 X X X
9 X X X
10 X X X
10 X X X
11 X X X
11 X X X
12 X X X
The X's above each value indicate how many times that value appears in the data set.
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Complete question:
Robert measured the cars and trucks to the nearest half inch measure each and complete the line plot.
X
3
3
4
4
5 X X
5 X X X
6 X X X
6 X X X
7 X X X
7 X X X
8 X X X
8 X X X
9 X X X
9 X X X
10 X X X
10 X X X
11 X X X
11 X X X
12 X X X
4. List two pairs of adjacent angles.
5. List all pairs of vertical angles.
6. If angle1 and angle3 are the same measure, what is the value of x?
4. Angle 1 and Angle 2, Angle 3 and Angle 4. (Or any two angles that share a common vertex and a common side)
5. Angle 1 and Angle 3. (Only pair, both angles are 90°)
6. 9x=90
9x/9=90/9
x=10
Express the perimeter of the figure below in term of x
Answer:
10x+29
Step-by-step explanation:
2x+8+5x+4+10+x+7+2x
simplified= 10x+29
to find the perimeter all u do is add the sides up together
A box of granola bars has a volume of
210 cubic centimeters.
Which of the following could be the dimensions of the box?
A and C are the dimensions of the box.
Volume : What is it?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Cubic measurements are represented by the symbols litre and in³. However, you can calculate an object's measurements using its bulk. In most cases, the item's weight is transformed into mass units like kilogrammes and kilos.
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a. V = 15 × 2 × 7 = 210 ← correct volume
b. V = 14 × 3 × 7 = 294 ← incorrect volume
c. V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
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Complete question:
A box of granola bars has a volume of 210 cubic centimetre's.
Which of the following could be the dimensions of the box?
[choose all answers that apply]
a. 15 cm long, 2 cm wide, 7 cm high
b. 14 cm long, 3 cm wide, 7 cm high
c. 7 cm long, 3 cm wide, 10 cm high
9. The Great Pyramid of Giza in Egypt is a square
pyramid. What some scientists believe to be the
original dimensions of the pyramid are shown
at the right. What is the surface area of this
famous pyramid?
610 ft
755.9 ft
PR
The surface area of the pyramid is 1,495,368 square feet (approximate)
What is a pyramid?A pyramid is a three-dimensional shape with a triangular base and faces that meet at a single point, or apex, and are each made of three triangles.
To find the surface area of the Great Pyramid of Giza, we need to calculate the area of each face and add them together.
The base of the pyramid is 756 feet. then, the area of square-base is:
756 feet × 756 feet ⇒ 571,536 square feet
The height of the pyramid is 480.6 feet. Using the Pythagorean theorem, we can find the slant height of the pyramid:
slant height = [tex]\sqrt{height^2 + (\frac{ base}{2}) ^2}[/tex]
slant height = [tex]\sqrt{480.6^2 + (\frac{756}{2})^{2}[/tex]
slant height = 611 feet (approx.)
Each triangular face has a base of 756 feet and a height of 611 feet. So, the area of each triangular face is:
(1/2) x 756 feet x 611 feet = 230,958 square feet
There are four triangular faces, so the total area of the four faces is:
4 x 230,958 square feet = 923,832 square feet
The total surface area of the pyramid is the sum of the area of the square base and the area of the four triangular faces:
571,536 square feet + 923,832 square feet = 1,495,368 square feet
Therefore, the surface area of the Great Pyramid of Giza is approximately 1,495,368 square feet.
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Some one pls!!!! 100 points and brainliest if correct!!! Pls number your answers to the questions! Thanks in Advance
1.
a. m=0-6/5-4
m=-6/1
m=-6
b. m=-10+4/-2+3
m=-6/1
m=-6
2.
a. y=3x+2
b. y=-x+4
#3 is below.
I need help with this math problem
Step-by-step explanation:
given,
[tex] log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565[/tex]
I hope this is the answer.
pls mrk me brainliest, i rly worked hard on this i need to get the next rank
What is the scale factor of the dilation?
?
L'
L
J'
J
K
Answer:
scale factor = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , image to original, that is
scale factor = [tex]\frac{J'K}{JK}[/tex] = [tex]\frac{6}{2}[/tex] = 3
The sampling distribution would best be described as:
A) the distribution of values taken by the statistic in all possible samples of the same size from the same population.
B) the fact that different random samples of the same size from the same population will produce different results.
C) the distribution that is produced when we take a sample of size n.
D) the distribution that is produced by the entire population.
Answer: A) the distribution of values taken by the statistic in all possible samples of the same size from the same population.
If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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ber 4 "o 22. Choose Yes or No to tell if the number 10 will make each equation true. +10=TO 3+ [ 4+40= 10 +21=20 O Yes O No O Yes O No O Yes O No O Yes O No Pearson Education, Inc. 5 i will give branlest and 60 points pps just help me
Answer:
yes, yes, no, no. I am not sure 100% though so maybe look it up
Step-by-step explanation:
Answer:
1.Yes
2.Yes
3.No
4.No
Step-by-step explanation:
<3
Carla has a monthly budget for her cell phonebill month she spend 120%of her budget and the bill was 60$.what is Carla’s monthly budget
Answer:
$50
Step-by-step explanation:
If 120% budget = $60
1% budget = 60/120
100% budget = 60/120 x 100
Monthly budget will be $50
What is the height of the building ?
Answer:
The Answer Is 360
Step-by-step explanation:
Why Because If you Take 45 and 5 it is 9 Then Take 9 and Multiply 9 by 40 which takes you to 360
Answer:
The height of the building is 360 ft.
Step-by-step explanation:
Assuming the two given right triangles are similar, their corresponding sides will be the same ratio.
Therefore, the ratio of height to base of the triangles is:
x : 45 = 40 : 5To calculate the height of the building, solve the ratio for x.
[tex]\implies x:45=40:5[/tex]
[tex]\implies \dfrac{x}{45}=\dfrac{40}{5}[/tex]
[tex]\implies \dfrac{x}{45}=8[/tex]
[tex]\implies \dfrac{x}{45}\cdot 45=8 \cdot 45[/tex]
[tex]\implies x=360\; \sf ft[/tex]
Therefore, the height of the building is 360 ft.
Which of the following inequalities has no solution?
O-4|s-20 < - 16
O 12s + 11 + 3 ≤2
O 13s +11-5> - 2
O 125-81 ≥ 0
Inequalities has no solution is -4|s-20| < - 16, So correct option is A.
Describe Inequality?Inequality is a mathematical statement that describes the relationship between two expressions that are not necessarily equal. It is used to compare two quantities or values, indicating which one is greater than, less than, or equal to the other. Inequalities can be expressed using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), and ≠ (not equal to).
For example, the inequality 3x < 15 compares the variable x to the constant 5, indicating that x is less than 5. This inequality can be solved by dividing both sides by 3 to obtain x < 5. Similarly, the inequality 2y + 4 ≥ 10 compares the variable y to the constant 3, indicating that y is greater than or equal to 3. This inequality can be solved by subtracting 4 from both sides and then dividing by 2 to obtain y ≥ 3.
The correct option is:
O-4|s-20| < - 16
To solve this inequality, first, we isolate the absolute value:
-4|s-20| < -16
Dividing both sides by -4 and flipping the inequality sign:
|s-20| > 4
Now we need to solve two inequalities:
s-20 > 4 and s-20 < -4
Simplifying each:
s > 24 and s < 16
These two inequalities cannot be true at the same time. Therefore, there is no solution to the original inequality.
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PLEASE HELP WITH MY HOMEWORK!!
Explain how you can make 5 1/5 - 3 7/10 a simpler problem. Then subtract.
5 1/5 - 3 7/10 simplified and subtracted equals 3/2.
what is improper fraction?
An improper fraction is a fraction in which the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 7/4 is an improper fraction because the numerator (7) is greater than the denominator (4).
To make 5 1/5 - 3 7/10 a simpler problem, we need to convert the mixed numbers into improper fractions, which will make it easier to subtract them.
To convert a mixed number to an improper fraction, we need to multiply the whole number by the denominator of the fraction and then add the numerator.
So, we have:
5 1/5 = (5 x 5 + 1)/5 = 26/5
3 7/10 = (3 x 10 + 7)/10 = 37/10
Now, we can subtract the two improper fractions:
26/5 - 37/10
To subtract fractions, we need to have a common denominator. The smallest number that both 5 and 10 divide into is 10, so we can convert both fractions to have a denominator of 10:
(26/5) x (2/2) = 52/10
37/10
Now we can subtract the fractions:
52/10 - 37/10 = 15/10
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:
15/10 = (15/5) / (10/5) = 3/2
Therefore, 5 1/5 - 3 7/10 simplified and subtracted equals 3/2 or 1 1/2.
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YALL I NEED HELP PLSSSSSS IM SO CONFUSED
Answer:
rays: DF and EFsegments: ED, DF, FEStep-by-step explanation:
Given points D, E, F on a half-line with end point D, you want the names of two different rays and three different segments in the figure.
RayA ray is named by it endpoint and another point on the ray. Any of the named points could be the endpoint of a ray, but there is not another point to use for naming if F is the ray's endpoint.
The figure shows rays DE (congruent to ray DF) and ray EF.
SegmentA segment is named by naming its endpoints. Two of the three points shown can be chosen three different ways.
The figure shows segments DE, DF, and EF.
__
Additional comment
Those segments could be named ED, FD, and FE. The question asks for different segments. Since DE and ED name the same segment, we can use only one of those names in answer to the question.
What Is The Product Of 4x^2/7y^2 and 21y^3/20x^4 In Simplest Form?
Answer:
To simplify (4x^2)/(7y^2) and (21y^3)/(20x^4), we need to simplify each fraction separately.
(4x^2)/(7y^2) can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1:
(4x^2)/(7y^2) = 4x^2/7y^2
(21y^3)/(20x^4) can also be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1:
(21y^3)/(20x^4) = 21y^3/20x^4
So the simplified fractions are 4x^2/7y^2 and 21y^3/20x^4, respectively.
Step-by-step explanation:
A student has a displacement of 304 m north in 180 s. What was the student's average velocity.
Answer:
The student's average velocity will be "1.69 m/s".
Displacement and Velocity:
The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.
This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.
Given values:
Displacement, d = 304 m
Time, t = 180 s
We know,
The velocity (v):
= displacement/time
By substituting the values, we get
304/180=
1.69m/s
a man is travelling from point A to T. he walked 1/3 of tge distance and run2/5 of the remaining distance. if he still has a distance of 4km to travel, what is the distance from point A to T
The distance from point A to T when the man is travelling is 10 km.
In physics, what do distance and displacement mean?The entire distance travelled by an item is referred to as distance in physics. It is a scalar quantity that takes neither the direction nor the width of the path into account. Displacement, on the other hand, is a vector number that describes the shortest distance, taking into consideration both the size and direction of the change, between an object's starting and final locations. According on the motion's direction, displacement might be positive, negative, or zero.
Let us suppose the distance = x.
The man walked 1/3 of the distance = 1/3x km.
Therefore, the distance remaining is (2/3)x km.
The man then ran 2/5 of the remaining distance:
(2/5) × (2/3)x = (4/15)x km.
The total distance covered by the man is:
1/3x + 4/15x = (5/15)x + (4/15)x = (9/15)x km.
We are given that the man still has a distance of 4 km to travel, so we can set up the equation:
(9/15)x + 4 = x
Simplifying this equation, we get:
9x/15 + 60/15 = x
9x + 60 = 15x
6x = 60
x = 10
Therefore, the distance from point A to T is 10 km.
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True or False. The following graph represents a function.
Answer:
True
Step-by-step explanation:
Every input (x) has only one output (y)
Sampling variability would best be described as:
A) the statistic that is calculated from a random sample.
B) the distribution that is produced when many, many different random samples are selected and their statistics are collected and plotted on a dotplot.
C) the process used to collect many, many random samples.
D) the fact that different random samples of the same size from the same population will produce different results.
Answer:
D. the fact that different random samples of the same size from the same population will produce different results.
Step-by-step explanation:
trust me man
1. Find the value of x.
(5x)°
100°
Using the vertical opposite angle theorem, the value of x is 20°.
What is vertical opposite angle?Intersecting lines are lines that crοss each οther. The pοint where they meet is called a vertex.
When twο lines intersect, the οppοsite (X) angles are equal.
These X angles are called vertically οppοsite angles because they are οppοsite each οther at a vertex.
Using the vertical opposite angle theorem
5x° = 100°
x = 100/5
x = 20°
Using the vertical opposite angle theorem, the value of x is 20°.
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Evaluate bcy, if b = -5, c = -3, and y = 0
Answer:
0
Step-by-step explanation:
Given,
b = - 5
c = - 3
y = 0
To find : bcy
bcy
= (- 5) x (- 3) x 0
= 0
