The correct connections for AC will be option b) AB+3.7 = 1.5. Two expressions joined by the equals symbol ("=") form an equation.
What is meant by equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. We determine the value of the variable x as x = 7 by solving this equation.Identity equations and conditional equations are the two types of equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.Different types of equationEquation with a line.Extreme EquationEquation with exponents.Equation with logic.Hence, The correct connections for AC will be option b) AB+3.7 = 1.5.
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Find the zeros of the polynomial 15x + 5.
Find the zeros of the polynomial 15x + 5.
Equating to 0:
[tex]15x+5=0[/tex]Subtracting 5:
[tex]15x=-5[/tex]Dividing by 15 and simplifying by 5:
[tex]\begin{gathered} x=\frac{-5}{15} \\ x=-\frac{1}{3} \end{gathered}[/tex]Why is square root of 15 to the nearest tenth 3.92
The reason why the square root of 15 to the nearest tenth is 3.9 is because the square root was rounded off to the tenth digit.
How to round off to tenth?When rounding off to the tenth digit, the decimal will need to be rounded off to number that comes immediately after the decimal.
This means that if the number that is two places after the decimal is 5 or more, the number in the tenth place (one digit after decimal) will be rounded up.
The square root of 15 is:
= √15
= 3.87298
The second number after the digit is 7 which is higher than 5 so the number 8 will need to be rounded up to 9 to get:
= 3.9
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A factory produces zips. Testing shows that for
every 6000 zips tested, approximately 0.01
are defective. Estimate the number of
defective zips in a batch of 6000.
A) 60
B) 600
C) 0.01
D) 6
This is a probability question! Urgent help please!
Answer:
A) 60 that's i know !!!
Step-by-step explanation:
A) 60
1) A manufacturing unit produced 112, 336 and 1008 Easter baskets on days one,
two and three. If the unit continues to manufacture baskets at the same rate,
how many baskets will it produce on the 4th, 5th and 6th day respectively?
There are 3024, 9072 and 27216 baskets are produced in 4th, 5th and 6th days respectively.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A manufacturing unit produced 112, 336 and 1008 Easter baskets on days one, two and three.
Now,
On first day, there are 112 baskets.
And, On second day, there are 336 baskets.
So, Clearly 112 x 3 = 336
That's mean every day the number of produce baskets are three times the previous day.
So, On fourth day;
Number of Easter basket produce = 1008 x 3 = 3,024
On fifth day;
Number of Easter basket produce = 3,024 x 3 = 9,072
On sixth day;
Number of Easter basket produce = 9,072 x 3 = 27,216
Thus, There are 3024, 9072 and 27216 Easter baskets are produced in 4th, 5th and 6th days respectively.
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Eleanor owns a coffee shop.
She uses half a litre of mayonnaise each day.
Mayonnaise costs £2.45 for a 1 litre jar and £4.75 for a 2 litre jar.
Eleanor buys enough mayonnaise to last for 14 days.
What is the lowest price Eleanor can buy this mayonnaise for?
Show your working.
Mayonnaise cost of £4.75 for a 2 liter jar lowest price Eleanor can buy.
What is unitary method?This approach allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.
How to Apply the Unitary Method
Let's first list the data that we currently have. The number of ice creams is 5. It costs $125 for 5 ice creams.
step 1:Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.
Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.
Given:
Cots of 1 liter jar of Mayonnaise (I) = 2.45
Cost of 2 liter jar of Mayonnaise (II)=4.75
Cots of 1 liter jar of Mayonnaise (II)= 4.75/2= 2.375
If she eats half liter Mayonnaise in a day
So, she eat in 14 days = 0.5 x 14 = 7 liter
Hence, Mayonnaise cost of £4.75 for a 2 liter jar lowest price Eleanor can buy.
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There are 7 new books and 8 used books on a shelf.
which of the following is equivalent to the expression below?(attached is the question)
We know that
[tex]\begin{gathered} 36=6^2 \\ \text{and} \\ \sqrt[]{36x^3}=\sqrt[]{36}\cdot\sqrt[]{x^3} \end{gathered}[/tex]Square roots can be expressed as a fraction on the exponent:
[tex]\begin{gathered} \sqrt[]{36x^3}=(36x^3)^{\frac{1}{2}} \\ \sqrt[]{36}\cdot\sqrt[]{x^3}=\sqrt[]{6^2}\cdot\sqrt[]{x^3} \\ =6^{\frac{2}{2}}\cdot x^{\frac{3}{2}} \\ =6x^{\frac{3}{2}} \end{gathered}[/tex]Answer: CA cell phone provider charges you
$35 a month for a phone plan and
charges $0.12 per MB of data used.
Write an equation in slope-intercept
form to represent the monthly price
as a function of the number of MB
used.
The equation, in slope-intercept form to represent the monthly price
as a function of the number of MB used is y = mx + c.
It is given in the question that the cell phone provider charges you
$35 a month for a phone plan and charges $0.12 per MB of data used.
Hence,
Total monthly charges = MB used*Charge per MB+ Fixed charge
Let y represents total monthly charges
x represents the charge per MB
m represents the MB used and,
c represents the fixed charge
Therefore, we can write the above equation as:-
y = mx + c
Hence the equation is written in the slope-intercept form.
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Grade 8 Pre-Algebra B
07.03
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected ove
the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
Its A, A is congruent to B and B is congrument to c
The translation equation, often known as the vertical translation equation, is g(x) = f(x+k) + C.Because the triangles are not congruent, Figure B is not an exact replica of Figure A.
In what direction does a figure move on a coordinate grid?
An example of one of these is a translation. A geometric figure moves in the coordinate plane when it slides up, down, left, or right. The figure shifts its position but maintains its original orientation. Additionally, it maintains its size and shape.
The vertical translation equation, or the formula for translation, is g(x) = f(x+k) + C.
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Here are two triangles.ABIs Triangle B a rotation of Triangle A? Explain your reasoning.HELP ASAPP
Answer
Triangle B is not a rotation of triangle A because on careful observation of this two triangles, one would see that they are mirror images of each other; reflections of each other.
A mental rotation of triangle A all through the 360° shows that at no point is it seeming exactly like triangle B.
This is why it is evident that triangle B is not a rotation of triangle A, rather, they are reflections of each other.
Hope this Helps!!!
In each figure, a is parallel to b. Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer. A line is reflected across line a, another line is reflected across line b to form a third line. a. Yes; it is one reflection after another with respect to the two parallel lines. b. No; it is a reflection followed by a translation. c. No; it is a reflection followed by a rotation. d. No; it is one reflection after another with respect to the two parallel lines. Please select the best answer from the choices provided A B C D
To determine whether the third figure is a translation image of the first figure, we say that; B: No; it is a reflection followed by a translation
How to Interpret Transformation of a figure?Transformation could be reflection, translation, rotation or even dilation.
Reflection can be thought of as the mirror image of a shape across a line.
Rotation is when one turns an object around a point
Translation is simply moving an object from one point to another without any change of dimension.
If we look at the given three figures in the attached image, we can see that the second image is the reflection or mirror image of the first figure.
After reflection, we can see that it is undergoes translation, which means it is moved apart from the first figure.
Thus, the third figure is a reflection of the first figure, and then it is translated.
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Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. Howmany slices of pears does she have to share with her teammates? Which equations can you use to solvethe problem?
Kylie has 5 pears and she divide each pear into 3.
So 1 pear will become 3 slices.
Then 5 pears will be 5 x 3 = 15 slices.
The answer is 15 slices
he equation you can use is :
umber of slices = 5 x 3
Answer:
The answer is 15
Answer to this question prove by induction
Answer:
solution: [tex]Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}[/tex]
Step-by-step explanation:
This is a geometric series. Common ratio is 4.on a recent trip a trucker traveled 220 miles at a constant rate because of road conditions the trucker then reduce the speed by 25 mph an additional 30 miles traveled at a reduced rate the entire trip took five hours find the rate of the tracker for the first 220 miles
55 mph
if we assume it takes an hour for the last 30 miles then the rest of the time the trucker could go 55
Which equation shows a slope of -5 and a y-intercept of (0,1)?
Suppose the current cost of gasoline is $3.10 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value.
The current price index is _____
(Round to one decimal place as needed.)
How do I solve this problem?
To solve this question we will compute the magnitude of each vector.
Recall that the magnitude of a vector
[tex]a\hat{i}+b\hat{j}[/tex]is:
[tex]\parallel a\hat{i}+b\hat{j}\parallel=\sqrt[]{a^2+b^2}.[/tex]Therefore, the speed of the first car is:
[tex]\parallel26\hat{i}+31\hat{j}\parallel=\sqrt[]{26^2+31^2}\text{.}[/tex]Simplifying the above equation we get:
[tex]\parallel26\hat{i}+31\hat{j}\parallel=\sqrt[]{676^{}+961}=\sqrt[]{1637}\approx40.46.[/tex]The speed of the second car is:
[tex]\parallel40\hat{i}\parallel=\parallel40\hat{i}+0\hat{j}\parallel=\sqrt[]{40^2+0^2}\text{.}[/tex]Simplifying the above equation we get:
[tex]\parallel40\hat{i}\parallel=\sqrt[]{40^2}=40\text{.}[/tex]Answer:
The first car is the faster car.
Speed= 40.46.
Yea thank I will need help
Solution
The diagram given is a right angle triangle
To find the value of x; we consider the relationship between the three sides.
Pythagoras theorem actually gave the relationship between the three sides of a right angle triangle.
By Pythagoras theorem;
[tex]\begin{gathered} x^2+8^2=13^2 \\ \\ \Rightarrow x^2=13^2-8^2 \\ \\ \Rightarrow x^2=169-64 \\ \\ \Rightarrow x^2=105 \\ \\ \Rightarrow x=\sqrt{105} \end{gathered}[/tex]x = 10.25
HELP! 100 POINTS!!!
1948 Olympics
Men's 100m Freestyle Swim Finals
Competitor Time
Wally Ris 57.3s
Alan Ford 57.8s
Géza Kádas 58.1s
Keith Carter 58.3s
Alex Jany 58.3s
Per-Olof Olsson 59.3s
Zoltán Szilárd 59.6s
Taha Youssef El-Gamal 1:00.5s
2012 Olympics
Men's 100m Freestyle Swim Finals
Competitor Time
Nathan Adrian 47.52s
James Magnussen 47.53s
Brent Hayden 47.80s
Yannick Agnel 47.84s
Sebastiaan Verschuren 47.88s
Cesar Cielo 47.92s
Hanser Garcia 48.04s
Nikita Lobintsev 48.44s
A. Calculate the mean and range for each set of data. Make sure to label each measurement in your answer.
B. Make two inferences based on your results from part A. Use complete sentences in your answer.
A. Mean and range for each set of data is given by:
Data 1:
Mean is equal to 58.59375
Range is equal to 3.2s
Data2:
Mean is equal to 47.87125
Range is equal to 0.92
B. Two inference based on results from part A is :
Mean of data1 is better than data2.
Range of data2 is less spread as compare to data1.
As given,
From the given values of data1 :
Note: 1:00.5s is 60.5s
57.3s, 57.8s, 58.1s , 58.3s, 58.3s, 59.3s, 59.6s, 60.5s
Mean = (Sum of all values)/ (Total number of values)
= (57.3+ 57.8+ 58.1+ 58.3+ 58.3+ 59.3+ 59.6+ 60.5)/8
= 468.75/8
= 58.59375
Range = Highest value -lowest value
=60.5 -57.3
= 3.2s
From the given values of data2 :
47.52s,47.53s, 47.80s, 47.84s, 47.88s, 47.92s, 48.04s, 48.44s
Mean =(47.52+47.53+ 47.80+ 47.84+ 47.88+ 47.92+ 48.04+ 48.44)/8
=382.97/8
= 47.87125
Range = 48.44 -47.52
= 0.92
Therefore,
A. Mean and range for each set of data is given by:
Data 1:
Mean is equal to 58.59375
Range is equal to 3.2s
Data2:
Mean is equal to 47.87125
Range is equal to 0.92
B. Two inference based on results from part A is :
Mean of data1 is better than data2.
Range of data2 is less spread as compare to data1.
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Please answer question 5 and 6.
5.Given the functions f(x)=-2x + 4 and g(x) = 2x- 8, find the value of x for which f(x) = g(x).
6.Graph the function
Based on the definition of the functions, the value of x if f(x) = g(x) is 3
How to determine the value of x?The equations of the functions are given as
f(x) = -2x + 4
g(x) = 2x - 8
It should be noted that the above equations are linear equations
From the question, we understand that the functions are equal
This means that, we have the following equation
f(x) = g(x)
Substitute the known values in the above equation
So, we have the following equation
-2x + 4 = 2x - 8
Collect the like terms in the above equation
So, we have
2x + 2x = 8 + 4
Evaluate the like terms in the above equation
So, we have
4x = 12
Divide both sides by 4
x = 3
Hence, the value of x such that the equations are equal is 3
Graph the functionsSee attachment for the graph of the functions
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4 cups = ______ ounces
hint 1 cup = 8 ounces
Question 4 options:
2 oz
4 oz
12 oz
32 oz
Complete the following equation using <, >, or = 120%___1
The answer to the expression 120% (_____) 1 is:
120% > 1. See the explanation related to the percentage problem below.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is frequently indicated by the percent symbol, "%."
To overcome the above problem, we must transform the two numbers into the same form.
Because adding zeroes to the ending of a decimal does not modify the value, we know that 1 = 1.00.
To convert a decimal to a percentage, multiply it by 100 and add a percent sign.
1.00 * 100 = 100%
Hence, 1 = 100%
Because 120% is greater than 100%, it is right, therefore, to state that:
120% > 1
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Graph the function by first finding the relative extrema. f(x) = x + 4x2 - X-4 O 2 O I need help with this.
The equation is:
[tex]f(x)=x^3+4x^2-x-4[/tex]So to know that, we can find the intercept in the y axis by replacing x=0 so:
[tex]\begin{gathered} y=0^3+4(0)^2-0-4 \\ y=-4 \end{gathered}[/tex]So if you see the functions the only one that intercept the y axis in -4, then the solution is option (D)
WILL GIVE BRAINIEST TO THE FRIST ANSWER CORRECT!!!!!!
Five friends ate lunch and spent a total of $63.75. They each bought the same meal for $9.75, and they each bought the same dessert.
Write and solve an equation to determine the cost of the dessert, d.
(A) 5(9.75)d = 63.75; d = 1.31
(B)5(9.75 + d) = 63.75; d = 3.00
(C) 5d + 9.75 = 63.75; d = 10.80
(D)05(9.75) + d = 63.75; d = 15.00
The written and solved equation to determine the cost of the desserts, d is 5(9.75 + d) = 63.75; d = 3.00
How to solve an equations?Five friends ate lunch and spent a total of $63.75.
They each bought the same meal for $9.75, and they each bought the same dessert.
The equation to determine the cost of the dessert, d can be represented as follows:
Hence,
5 (9.75 + d) = 63.75
48.75 + 5d = 63.75
Therefore, let's use the equation to solve for d.
48.75 + 5d = 63.75
subtract 48.75 from both sides of the equation
63.75 - 48.75 = 5d
15 = 5d
divide both sides of the equation by 5
15 / 5 = 5d / 5
d = 3
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The figure shows JN and KM intersecting at pointL.What value of x proves JK || MN ?
If JK || MN, then angle JKM is equal 61;
Also, angle JLK = 39 degrees as it is opposite angle to MLN.
Thus;
[tex]\begin{gathered} 3x+5+39+61=180\ldots\ldots\ldots\ldots\text{.sum of angles in triangle JLK} \\ 3x+105=180 \\ 3x=180-105 \\ 3x=75 \\ x=\frac{75}{3} \\ x=25 \end{gathered}[/tex]Thus x= 25 proves that JK || MN
Find the volume and surface area of each prism one prism a 3 cm x 3 cm x 3 cm to prism beat 5 cm x 5 cm x 1 cm three compare the volume of the prisms and then there are surface areas does the prism with a greater volume also have the greatest surface area?
The volume of prism A and B are 27 cm³ and 25 cm³ respectively and the Surface area of prism A and B are 54 cm² and 70 cm² respectively.
No, the prism with a greater volume doesn't always have the greatest surface area.
What is the Volume and Surface Area of a Prism?The area that a prism takes up is referred to as its volume. A prism is a solid, three-dimensional structure with two identical faces and additional faces that resemble parallelograms. It is a polyhedron whose nomenclature is influenced by the various basic shapes. The total space filled by the flat faces of a prism is referred to as its surface area. Calculating the sum of the areas of all the faces (or surfaces) in a 3D plane, or the total space occupied by all the faces of the specific type of prism will yield the surface area of the prism.Given:
Prism B is a rectangular prism, whereas prism A is a cube.
The prism's volume is determined by
Volume = length × width × height
So, the Volume of prism A whose each side 3 cm is,
Volume of prism A = 3 × 3 × 3 = 27 cm³
Volume of prism B with sides 5 cm,5 cm, and 1 cm is
Volume of prism B = 5 × 5 × 1 = 25 cm³
The cube's surface area is 6a², where a is one of the cube's sides. So
Surface Area of prism A = 6 × (3)² = 6 × 9 = 54 cm²
Surface area of the rectangular prism is given by,
2(length × width + length × height + width × height)
Surface Area of prism B = 2(5×5 + 5×1 + 5×1)
= 2(25 + 5 + 5)
= 2 × 35 = 70 cm²
From the above calculations, it is clear that the prism with a greater volume doesn't always have the greatest surface area.
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Josiah makes six 3-point baskets in his basket ball game. For questions 5a-5d choose yes or no tell if the equation shows a way to find the number of points Josiah scores
The only effective methods for determining the number of points are 5a and 5c.
What exactly are algebraic word issues?Solving algebraic word problems involves breaking down sentences into equations and then figuring out how to solve those equations.
To construct the equations we need, we will only need to employ one variable and basic arithmetic operations. The variable often represents an uncertain number in a real-world scenario.
Given that Josiah scores six three-pointers during his basketball game, 6*3 = 18, which is general multiplication; or adding three times six times, would be a workable choice for determining the number of points.
Therefore, the two viable alternatives for determining Josiah's point total are 5a and 5c.
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2 hr 20 min, 5 hr 15 min
Answer:
7hrs 35mins
Step-by-step explanation:
addition 2hrs 15 mins +5hrs 20 mins
can yall help with this pls and ty
Answer:
4 1/3
Step-by-step explanation:
I believe it is 4 1/3 because all the other ones like 9=3 and 12=4 are divided by 3 so if you divide 14 by 3 you get 4 1/3 as your answer.
Answer this please please
Answer:
8
Step-by-step explanation:
Given: # of girls = 5+2x boys
GIRLS = 21
(21-5)/2
= 16/2
=8