Adding 10 to both sides.
[tex]\begin{gathered} -4x-10+10\le2+10 \\ -4x\le12 \\ \text{ Dividing both sides by -4, we have} \\ \frac{-4x}{-4}\ge\frac{12}{-4} \\ x\ge-3 \end{gathered}[/tex]So the solution set is the set
[tex]\mleft\lbrace x\in\mathfrak{\Re }\colon x\ge-3\mright\rbrace[/tex]Area of sector is to _______________ as arc measure is to 360 degrees.Area of sector is to _______________ as arc measure is to 360 degrees.choice;semicirclecircle areacircumference of circlediameter
Answer:
Circle area
Explanation:
The arc measure is a part of the complete measure of the circle, which is 360 degrees. In the same way, the area of the sector is a part of the area of the complete circle.
Therefore, the answer is
Circle area
to get the paint color moss green, 2 parts violet paint mixed with 3 parts yellow paint. how many parts yellow paint should be mixed with 5 parts violet paint. Please explain how you got to the answer and what is this topic in math called
7.5 components yellow paint should be mixed with 5 parts violet paint.
What is probability?Moss green is created by combining violet and yellow paint in a 2 to 3 ratio. You're interested in learning how many parts of yellow paint to combine with five parts of violet paint.
Proportion
There are various ways to express the proportion. The unknown value is often placed in the numerator. (x is the quantity of yellow paint in parts)
Yellow: violet equals 3: 2; x; and 5
The ratio, expressed as a fraction, is
3/5=x/5
5*3/2=X multiply by 5
15/2=x=7.5 simplify
7.5 parts yellow paint to 5 parts violet paint.
To learn more about probability refer to:
https://brainly.com/question/13604758
#SPJ13
scale factor and dilations
The scale factor here is 3 : 2.
What is meant by scale factor and dilations?The scale factor is defined as the difference between the new image's and the old image's sizes. A fixed point in the plane is the center of dilation. The definition of the dilation transformation depends on the scale factor and the center of dilation.
A stretched image results from a scale factor of higher than 1.
The image shrinks when the scale factor falls between 0 and 1.
The resulting image is consistent with the source image if the scale factor is 1.
As a result of the dilation modifications, the following characteristics of forms don't change:
The figure's angles are all identical.
The figure's midpoints on its sides and the midpoint of the dilated shape are both preserved.
To know more about scale factor and dilations ,visit:
brainly.com/question/8765466
#SPJ13
A construction crew is below ground working on a foundation for a new apartment building.
They are currently 41 feet below street level, but the final building will be 503 feet tall.
Assuming they can build 34 more feet per week, w, how many weeks will it take them to finish?
The following equation represents the situation: −41+34w=503
A caterpillar eats
1400
%
1400%1400, percent of its birth mass in one day. The caterpillar's birth mass is
m
mm grams.
If a caterpillar eats 1400% percent of its birth mass in one day. The caterpillar's birth mass is 14m grams.
How to find the birth mass in grams?Given data:
Birth mass in one day = 1400%
Hence, we need to formulate an equation and then use the formulated equation to find or determine the caterpillar's birth mass in m grams
1400 / 100m
Now let find the birth mass in m grams using the equation
1400/100m
= 14m grams
Therefore we can conclude that 14m grams is the birth mass.
Learn more about birth mass here: https://brainly.com/question/17088236
#SPJ1
Answer: 14m and 1400/100
Step-by-step explanation: just do it !!
The US Postal rates for a first-class letter are$0.46 for up to and including 1 ounce$0.66 for 1 to 2 including 2 ounces$0.86 for 2 to 3 including 3 ounces$1.06 for 3 to 3.5 including 3.5 ouncesa. What kind of a function is this?b. What is the cost for a letter weighing 2.01 ounces?
Answer: The function Indicated is a piecewise function, and the price for the 2.01 ounces is as follows:
[tex]P(2.01oz)=\$0.86[/tex]Please someone help me.
A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides
The trapezoid KLMN and PQRS are similar:
Then [tex]\frac{KN}{PS}[/tex] = [tex]\frac{NM}{RS}[/tex]
= > 6/12 = 5/RS
=> RS = 2* 5 = 10.
What is the trapezoid shape?A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides. A trapezium's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezium can have parallel legs as well.A trapezoid is a quadrilateral with one or more parallel sides. Because a square always has two pairs of parallel sides, every square is also a trapezoid. In contrast, only a few trapezoids are squares.A trapezoid is a quadrilateral with one or more parallel sides. Because a square always has two pairs of parallel sides, every square is also a trapezoid. In contrast, only a few trapezoids are squares.To learn more about : trapezoid
Ref : https://brainly.com/question/1463152
#SPJ13
I need help with classifying if it's a function or not
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair
There are 50,000 adults living in Grand City. In examining attitudes toward the news, a research group asked a random sample of Grand City adults "What is
your main source of news?" The results are shown below.
Main Source
of News
Newspapers
Internet
Television
Radio
Other
Number of
Adults
68
90
201
25
41
Based on the sample, predict the number of adults in Grand City whose main source of news is newspapers. Round your answer to the nearest whole number.
Do not round any intermediate calculations.
In linear equation, 10,550 is your main source of news.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an indeterminate variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Proportion of adults when main source of news on the internet
= [tex]\frac{No, of adults with internet of the main source of news}{total mo of samples}[/tex]
= 90/68+90+201+25+41
= 90/425 ⇒ 0.211
No. of adults in grand city whose main source of news is the internet
= Proportion × total population of grand city
= 0.211 × 50,000
= 10,550
Learn more about linear equation
brainly.com/question/11897796
#SPJ13
what happened when you had a positive minus a negative, a-(-b)?what happened when you had a negative minus a negative (-a)-(-b)?
Your First question says what happens when you have a positive value minus a negative value.
Let the positive value be a and the negative value be - b
a - (- b) = a + b
Note
[tex]-\text{ }\times\text{ - = +}[/tex]The second question says what happens when we have a negative value minus a negative value.
-a - (-b) = -a + b
Note
[tex]\begin{gathered} -\text{ }\times\text{ + = - } \\ +\text{ }\times\text{ + = +} \\ -\text{ }\times\text{ - = +} \end{gathered}[/tex]
User = 1 to identify the value of each expression.Exponent Value of expression923341239
Find x in the following expressions:
9^x = 3 in this case, x has to be 1/2 (square root) in order to render 3 as an answer, given that 3^2 = 9
Then x = 1/2 in this first case
Second case:
3^x = 1 In this case, we use the property of exponent zero, which always renders 1
Last case x^3 = 9
Are You Ready? Review mapla 2 Graph the paint (44,3 coordinate mid Eumpla 1 Graph the paint 0 -Dan the сонгаіnаtе рrd. Starting at the man, manunt: tn the nidit and 2 unile dern Lb the pale 20 Staring at the origin, m. and 1 unit up la
1) Let's plot those points, keeping in mind the first coordinate is on the x-axis, and the second on y:
Then we have A= (2,3) , B = (-4,-1), C= (3,-2) and D=(-2,-1). Notice that the first coordinate refers to the x-axis, and the second one to the y-axis.
write the equation y-4=1/3(x+6) in slope intercept form.
Given the equation:
[tex]y-4=\frac{1}{3}(x+6)[/tex]to write it in slope intercepept form, we have to solve for y the expression.
In this case, we have the following:
[tex]\begin{gathered} y-4=\frac{1}{3}(x+6)=\frac{1}{3}x+\frac{6}{3}=\frac{1}{3}x+2 \\ \Rightarrow y=\frac{1}{3}x+2+4=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}[/tex]thus, the equation in slope intercept form i s y = 1/3x+6
For a standard normal variable , compute p(z<1.5)
Answer:
P(Z < 1.5) = 0.9331927987
The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.Step 1[original equation]:x2 + 8x + y2 − 6y = 11Step 2[group like terms]:(x2 + 8x) + (y2 − 6y) = 11Step 3[complete the square]:Which of the following is the correct equation for Step 3?
Solution
We want to complete the square of
[tex](x^2+8x)+(y^2-6y)=11[/tex]Firstly, let us look at how to complete a square.
Consider the illustration below
[tex]\begin{gathered} To\text{ complete the square of }(x^2+8x) \\ Add\text{ \lparen}\frac{8}{2})^2\text{ to both sides of the equation} \\ That\text{ is 4}^2=16 \end{gathered}[/tex][tex]\begin{gathered} To\text{ complete the sqaure of y}^2-6y,\text{ } \\ Add\text{ \lparen}\frac{-6}{2})^2=(-3)^2=9\text{ to both sides of the equation} \end{gathered}[/tex]Thus, we have
[tex](x^2+8x+16)+(y^2-6y+9)=11+_16+9[/tex][tex]\begin{gathered} The\text{ answer is } \\ (x^2+8x+16)+(y^2-6y+9)=11+16+9 \end{gathered}[/tex]One number is five more than another and their sum Is 13 find the numbers
Solve 757 ÷ 104 = ________. Use how the placement of the decimal point changes when divided by a power of 10 to help you.
It is important to note that 757 ÷ 104 using the placement of decimal point changes when divided by a power of 10 is not feasible. I believe you may be referring to 757 ÷ 10⁴ the answer therefore, is 0.0757. See explanation below.
How is the placement of decimal used to achieve the answer above?Suppose, as earlier indicated, the question is 757 ÷ 10⁴; that is
757 ÷ (10 x 10 x 10 x 10)
= 757 ÷ 10,000
Using the placement of decimal, we now by the number of zeros that the decimal point will move leftwards of 757 four times.
Note, that the decimal point is moving left because this is a division. In the case of a multiplication, the decimal point of a real number will move to the right.
Hence,
757 ÷ 10000
= 0.0757
Learn more about placement of decimal point changes:
https://brainly.com/question/19319135
#SPJ1
Solve the following using substitution: 3X = 6Y -44X + 3Y = -1
We need to solve the system:
[tex]\begin{gathered} 3x=6y-4 \\ 4x+3y=-1 \end{gathered}[/tex]The first step is to isolate one of the variables and replace it at the other equation. We will isolate the "x" variable on the first equation:
[tex]x=\frac{6y}{3}-\frac{4}{3}[/tex]Then we replace this value on the second equation:
[tex]\begin{gathered} 4\cdot(\frac{6y}{3}-\frac{4}{3})+3y=-1 \\ \frac{24y}{3}-\frac{16}{3}+3y=-1 \\ \frac{24y-16+9y}{3}=-1 \\ 33y-16=-3 \\ 33y=-3+16 \\ 33y=13 \\ y=\frac{13}{33} \end{gathered}[/tex]We can use this value to determine x.
[tex]\begin{gathered} x=\frac{6\cdot\frac{13}{33}}{3}-\frac{4}{3} \\ x=\frac{\frac{78-132}{33}}{3}=\frac{\frac{-54}{33}}{3}=\frac{-54}{99}=\frac{-18}{33}=\frac{-6}{11} \end{gathered}[/tex]The solution to the system is (-6/11, 13/33)
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount
For given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.
As given in the question,
Let 'h' hours be the time when service two companies to charge the same amount
A1 plumbing service company;
Charges $35 per hour plus a $25 travel charge for a service call
Equation:
y=25 + 35h
Good guys plumbing repair company :
Charges $40 per hour for a service call with no travel charge
Equation:
y=40h
Time when service two companies to charge same amount
25 +35h = 40h
⇒40h -35h=25
⇒5h=25
⇒h=25/5
=5hours
Therefore, for given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.
Learn more about charges here
brainly.com/question/19886264
#SPJ1
I need to know the answer to the question please help me
Answer:
The height of the triangle is 3 inches.
Explanation:
Given:
[tex]\begin{gathered} \text{Base of the triangle}=3\frac{2}{5}\text{ inches} \\ \text{Area of the triangle}=5\frac{1}{10}\text{ inches} \end{gathered}[/tex]We change the mixed fractions to improper fractions below:
[tex]\begin{gathered} \text{Base of the triangle}=3\frac{2}{5}=\frac{(5\times3)+2}{5}=\frac{17}{5}\text{ inches} \\ \text{Area of the triangle}=5\frac{1}{10}=\frac{(10\times5)+1}{10}=\frac{51}{10}\text{ inches} \end{gathered}[/tex]We want to find the height of the triangle.
Recall that the area of a triangle is calculated using the formula below.
[tex]\text{Area}=\frac{1}{2}\times\text{Base}\times Height[/tex]Substitute the given values:
[tex]\frac{51}{10}=\frac{1}{2}\times\frac{17}{5}\times\text{Height}[/tex]Multiply the numerators and denominators on the right side of the equation.
[tex]\begin{gathered} \frac{51}{10}=\frac{1\times17}{2\times5}\times\text{Height} \\ \frac{51}{10}=\frac{17\times\text{Height}}{10} \end{gathered}[/tex]Multiply both sides by 10.
[tex]\begin{gathered} \frac{51}{10}\times10=\frac{17\times\text{Height}}{10}\times10 \\ \implies51=17\times\text{Height} \end{gathered}[/tex]To solve for the height, divide both sides by 17.
[tex]\begin{gathered} \frac{51}{17}=\frac{17\times\text{Height}}{17} \\ 3=\text{Height} \\ \text{Height = 3 inches} \end{gathered}[/tex]The height of the triangle is 3 inches.
Which is the graph of the function f(x) = x3 + x2 + x + 1?
Answer:
Step-by-step explanation:
Clues to recognize the graph:
-The graph will cross from the first quadrant into the third quadrant.
-The graphs of cubed equations are looking like an S shape.
-The graph must cross at y = 1 because when x is zero y is 1
If x=0 in our equation y= x^3 + x^2 + x + 1 will be y=1
-The graph must have a zero at x= -1 because if we rewrite the equation
y= x^3 + x^2 + x + 1 = (x+1)(x²+1) and here we see that one of the roots or zeros is (x+1) = 0, x= -1
Answer: D. on Edge 2023
Step-by-step explanation:
I took the test
The expression 3,500 (1 +0.028) 4trepresents the amount of money in a savings account,where interest compounds quarterly, after t years since the account was opened. What does(1+0.028) represent?
I don’t know what the first step is to solve this problem, so I need help :)
We have to find the first step to solve the equality:
[tex]\frac{2x-5}{2}=-18[/tex]As the quotient is blocking us from substracting an adding to solve the equation, the first step is to remove the denominator by multiplying both sides by 2.
Then we would get:
[tex]\begin{gathered} \frac{2x-5}{2}\cdot2=-18\cdot2 \\ 2x-5=-36 \end{gathered}[/tex]And we can continue to solve the equality.
Answer: Option B. Multiply by 2 on both sides.
Which system(s) of equations has no solutions?
3x - 2y = 2, 6x + 4y = 4
2x - 2y = 4, x + 2y = 2
2x - 2y = -2, x + 2y = 2
3x - 2y = 1, - 6x + 4y = -2
Equation 3x - 2y = 1, -6x + 4y = -2 has no solution.
What is condition of no solution?We are aware that a line's general equation is ax+by+c=0.
where a, b, and c are known to be constants and x and y are the variables.
px + qy + r = 0 and ux + vy + w = 0 are the lines to be drawn.
If two lines are parallel to one another, there is no solution for those two lines.
Because the lines are parallel to one another, their slopes are also equal.
The equation for the provided set of general lines has the following mathematical representation: p/u = q/v ≠ r/w and m1 = m2.
3x - 2y = 2, 6x + 4y = 4
3/6 ≠ -2/4, Dose not satisfy the condition of no solution.
2x - 2y = 4, x +2y = 2
2/1 ≠ -2/2, Dose not satisfy the condition of no solution.
2x - 2y = -2, x + 2y =2
2/1 ≠ -2/2, Dose not satisfy the condition of no solution.
3x - 2y = 1, -6x +4y = -2,
3/-6 = -2/4 , satisfy the equation of no solution.
To know more about No Solution visit:-
https://brainly.com/app/brainlyplus
SPJ#13
--Multiplying Polynomials--Use the given formulas to express the volume of each object as a polynomial.
32.
V = L*w*h
Where:
V= Volume
L= Length = x+5
w= width = x-2
h= height = 6
Replacing with the values given:
V= (x+5) * (x-2) * 6
V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6
V= [ x^2 - 2x + 5x - 10 ] * 6
V= [ x^2 + 3x - 10] *6
V= (x^2*6) + (3x*6)+ ( - 10 * 6)
V= 6x^2 + 18x - 60
5/7 - 3/5 = what? I'm don't know what is .
Answer: 4/35
Step-by-step explanation: First you need to make the fraction denominators the same so we are going to do multiply 7 x 5 which equals 35 if you don't know your multiplication you can always skip count by 5's so now since we changed the denominators the numerators need to be changes also so the new equation will be 25/35 - 21/35 that equals 4/35 and the fraction cannot be simplified because 1 is the only common divisor
Answer:
4/35
Step-by-step explanation:
Used a calculator and did the math problem in paper
5/7 - 3/5 = 4/35
Name: Date: 4) The capacity of a bathtub is 297 liters. The capacity of a sink is 9 liters. How many sinks of water will fill the bathtub? A 2,673 B 30 o 33 There are 354 milliliters of soda in each can
To get the number of sinks that would be needed to fill the bathtub, divide the total capacity of the bathtub by the capacity of one sink:
[tex]297\div9=33[/tex]This way, 33 sinks would be needed to fill the bathtub.
Answer: Option C
Is y= -5x^2 +4x+12 minimum or maximum?
As the coefficient of x^2 is negative, we get that the parabola opens down. So the vertex is a maximum
About 1% of 7900 commuters carpool to work. Find the number of commuters who carpool
Data
number of commuters = 7900
percent needed = 1%
Rule of three
7900 ------------------------ 100%
x
a car drives 230 miles on 8.2 gallons of gas how many miles does this car get
Answer:
Thats nice
Step-by-step explanation:
