Answer:
-8
Step-by-step explanation:
2(4)=8, and a negative number times a positive number results in a negative number.
M bisects PQ. PM=9x + 3 and MQ= 11x -17, find x.
Applying the definition of a midpoint, the value of x is calculated as: x = 10.
What is the Midpoint of a Segment?The midpoint of a segment, for example, point M, is a point that bisects a segment into two equal parts with the same measurement.
Thus, this means that:
PM = MQ
PM = 9x + 3
MQ = 11x - 17
Substitute
9x + 3 = 11x - 17
Combine like terms
9x + 3 - 11x = 11x - 17 - 11x
-2x + 3 = -17
-2x + 3 - 3 = -17 - 3
-2x = -20
-2x/-2 = -20/-2
x = 10
Thus, applying the definition of a midpoint, the value of x is calculated as: x = 10.
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HELPPPP DUE IN 1 HOUR
Answer:14.12
Step-by-step explanation:
In art class, Mr. Jacobs compared the amount of glitter left on students' plates. The following dot plot shows this data. Each dot represents 1 student. If he wants to combine the two least full plates of glitter, what fraction of a plate would they take up?
When he wants to combine the two least full plates of glitter, the fraction of a plate that they would they take up is 1/4.
How to illustrate the information?It should be noted that from the information, in the art class, Mr. Jacobs compared the amount of glitter left on students' plates and the dot plot shows this data
It should be noted that the least two plates of glitters will be:
= 1/4 + 2/4
= 3/4
Therefore, when e wants to combine the two least full plates of glitter, the fraction of a plate that they would they take up will be:
= 3/4 ÷ 3
= 3/4 × 1/3
= 1/3
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sqrt (25+9)!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]\sqrt{25+9}[/tex] =
[tex]\sqrt{34}[/tex] =
≈5,83095 (5,8309518948453)
Aisha organized her books for 1/6 and her coin collection for 3/7.
What's the best estimate for the total Aisha spent organizing?
(Brainliest Question)
The best estimate for the total Aisha spent organizing is; 1/2 hour
How to estimate fractions?We are told that Aisha organized her books for 1/6 and her coin collection for 3/7.
Now, normally when we want to find the total, we just add both fractions in this manner;
1/6 + 3/7 = 25/42
Now, since we want to find the best estimate, we will just approximate each fraction individually to get;
1/6 hour is closer to 0 hours than 1/2 hour. Thus;
1/6 hr ≈ 0 hour
3/7 hour is closer to 1/2 hour than 0 hours. Thus;
3/7 hr ≈ 1/2 hour
Thus;
Best estimate for total spent = 0 + 1/2 = 1/2 hour
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A court reporter can type 215 words per minute.
How many minutes will it take the reporter to type a document that is 1,505 words long?
Enter the correct answer in the box.
It will take the reporter 7 minutes to type the document
The reporter can type 215 words in one minute
The reporter wants to type a document that is 1505 words long
The amount of time it will take the reporter to type a document that is 1505 long can be calculated as follows
215 = 1
1505 = x
cross multiply both sides to get the value of x
215x= 1505
divide both sides by the coefficient of x which is 215
215x/215 = 1505/215
x= 7
Hence the reporter will use 7 minutes to type out the 1505 word document
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Let f(x)=4 x, g(x)=1/2 x+7 , and h(x)=-2 x+4 . Perform each function operation. f(x) . g(x)
The value of f(x) . g(x) is [tex]2x^2+28x[/tex] by using multiplication of functions.
By considering the given functions
f(x)=4 x
g(x)=1/2 x+7
f(x) . g(x)
=4 x (1/2 x+7 )
[tex]=2x^2+28x[/tex]
A y-intercept, a horizontal asymptote, a domain (the range of x values at which the function exists), and a constant growth factor, b, are the four main characteristics of exponential functions.
A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
Four broad categories can be used to classify different types of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.
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Owen’s parents were planning a big birthday party for him.
(a). His parents bought 8 goodie bags. Each bag costs $3.49. How much did they spend on goodie bags?
(b). They spent $150 to rent a bounce house for 4 hours. How much is the hourly rate for the rental?
(c). How much total money did Owen’s parents spend buying the goodie bags and renting the bounce house?
answer: they spend $27.92 on goodie bags
the hourly rate is $37.5
they spend $177.92 in total
On a recent trip, the Baxter family drove 143 miles and used 4 2/3
gallons of gas. How many miles per gallon of gas did they travel?
They travel at 30.64 miles per gallon of gas when they drove 143 miles and used 4 2/3 gallons of gas.
This is solved by unitary method.
Distance travelled by (4 and 2/3) or 14/3 gallons of gas = 143 miles.
So, we get that for 1 gallon of gas it will be given as:
Distance travelled by 1 gallon of gas = 143 miles × 3/14
= 30.64 miles
So, they travel at 30.64 miles per gallon of gas when they drove 143 miles and used 4 2/3 gallons of gas.
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Plot the image of point Q under the translation (x,y) (x+1,y+2)
The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
To plot the image of point Q under the translation we need given information.
The translation is given as:
(x,y) -> (x+1,y+2)
The point Q is located at
(-4,4)
So, the image would be:
(x,y) -> (-4+1,4+2)
Evaluate
(x,y) -> (-3,6)
Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)
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HAND-WRITTEN ANSWER ONLY
The state of Tennessee is shaped like a parallelogram. Its approximate
dimensions are a base of 440 miles and a height of 120 miles. Draw
Tennessee, label the dimensions and find the approximate area.
The area of a parallelogram when the dimensions are a base of 440 miles and a height of 120 miles is 52800 miles²
How to calculate the value?It should be noted that the area of a parallelogram is calculated by multiplying the base by the height.
The dimensions are a base of 440 miles and a height of 120 miles.
The area of the parallelogram will be:
= Base × Height
= 440 × 120
= 52800 miles²
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A2.1.2: More Function Types
Which statements are true about the graph?
Select all that apply.
A)The range is {yly ≤ 6}
B)The domain is {z-5≤x≤ 10}
C)The graph is increasing when x 24
D)The graph is decreasing when a ≤ -3
E)The graph has a relative maximum at (4,6)
F)The graph has a relative G)minimum at (-5,0)
H)Duration: 00:01:01
Answer:
Step-by-step explanation:
Determine which integer will make the inequality 5x + 6 ≤ 2x + 15 false.
The integers that will make the inequality false are integers greater than 3
How to determine which integer will make the inequality false?The inequality expression is given as
5x + 6 ≤ 2x + 15
Collect the like terms.
So, we have
5x - 2x ≤ -6 + 15
Evaluate the like terms.
So, we have
3x ≤ 9
Divide both sides of the expression by 3
So, we have
x ≤ 3
Hence, the integers that will make the inequality false are integers greater than 3
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Model Real Life Some firefighters are
testing their equipment. Water from
their firetruck hose hits the wall 12 feet
higher than 7 times where the spray
from a fire extinguisher hits the wall.
How many feet high does the water
from the hose hit the wall?
The height in feet that the water from the hose hits the wall is; 7x + 12 ft
How to solve Algebra Word Problems?Let the height where the spray from a fire extinguisher hits the wall be denoted as x.
Now, we are told that Water from their firetruck hose hits the wall 12 feet
higher than 7 times where the spray from a fire extinguisher hits the wall.
Thus, the algebraic equation that expresses this statement is;
7x + 12
Thus, the height in feet that the water from the hose hits the wall is; 7x + 12 ft
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2. What is the value of the expression when a = 6 and b = -4? Show your work to support your answer.
The value of the expression when a = 6 and b = -4 is -1
How to determine what is the value of the expression when a = 6 and b = -4?The expression is given as
2a/3b
The values are given as
a = 6 and b = -4
Substitute a = 6 and b = -4 in the expression 2a/3b
2a/3b = 2 * 6/3 * --4
Evaluate the products
2a/3b = 12/-12
Evaluate the quotient
2a/3b = -1
Hence, the value of the expression when a = 6 and b = -4 is -1
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Complete question
What is the value of the expression when a = 6 and b = -4? 2a/3b
Ellen purchased a dishwasher, which cost $315 before the 9.22% sales tax. She used the machine an average of 10 times per week for the next six years, at which point she replaced it. Each time she ran the dishwasher it cost her $0.09 for water and $0.13 for electricity. What was the lifetime cost of Ellen's dishwasher? a. $1,030.44 b. $686.40 c. $1,093.73 d. $749.69 Please select the best answer from the choices provided. A B C D
The lifetime cost of Ellen's dishwater is $1,030.44
What is Number system?
A system of writing to express the number is called number system.
Given that;
Cost of dishwasher before sales tax 9.22% is = $315
And, Sales tax = 9.22%
Hence, Total cost = 315 *( 1 + 0.0922) = 315 * 1.0922 = 344.043
And, Average of 10 times per week for the next 6 years before replacing it.
Since, There are 52 weeks in a year.
So, Average uses is calculated as,
10 * 52 * 6 = 3120
Since, cost for water = $0.09
Cost for electricity = $0.13
Total cost per uses = $0.22
Hence, Cost of uses = 0.22 * 3120 = $686.40
Now, Purchase cost = $344.043
And, Cost of uses = $686.40
Hence, Lifetime cost = $344.043 + $686.40 = $1,030.443
So, The lifetime cost of Ellen's dishwater is $1,030.44.
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The terms grid, linear, quadrant, zone, and spiral are typically used to describe datum points. True or false?.
It is untrue to claim that words like grid, linear, quadrant, zone, and spiral are frequently used to refer to datum points.
A location that acts as a base or reference for the measurement of other quantities is known as a datum point. It can be located at any reference point where known or guessed coordinates can be used to make calculations or measurements.
Datum references, which the maker can choose, are used when marking out an object as a reference point from which all measurements are obtained. Accuracy can be increased and maintained by measuring from a limited selection of fixed points.
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The table shows the relationship between the number of club a person belongs to and the amount of free time the person has per week. Number of Clubs Free Time (hours) 12 7 22 4 32 1 41 818. (1 point) Is the above relationship a linear function? What is the rule to describe the function f(x) that gives free time hours in terms of x, number of clubs a person belongs to? (ASAP I NEED IT TO BE ANSWERED I HAVE TESTING TMR )
The relationship a linear function and the equation is y = -3x + 24
Is the above relationship a linear function?The table of values is given as
Number of Clubs Free Time (hours)
1 27
2 24
3 21
4 18
A linear relationship is any relationship with a constant rate
From the above table, we can see that as x increases by 1, y decreases by 3
This means that
Slope = Rate = -3
Hence, the relationship a linear function
What is the rule to describe the function f(x)?In (a), we have
Slope = -3
Also, we have
Number of Clubs Free Time (hours)
1 27
Reduce the above parameters by the constant rate
So, we have
Number of Clubs Free Time (hours)
0 24
1 27
The above means that
y-intercept = 24
A linear equation is represented as
y = Slope * x + y-intercept
So, we have
y = -3x + 24
Hence, the equation is y = -3x + 24
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Solve each inequality using a table.
(Hint: For more accurate results, set ΔTbl=0.001. )
3(2) x⁺¹>5
After solving the given inequality the answer is x∈(5/6, ∞).
What exactly do we mean when we talk about inequality?In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or other mathematical expressions.It is most commonly used on a number line to compare the sizes of two numbers.So,
Given: 3(2) x¹>5
Then,
3(2) x¹>5 6x>5x∈(5/6, ∞)Therefore, after solving the given inequality the answer is x∈(5/6, ∞).
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Part A: State the vertical angles theorem.
Part B: Identify the pairs of vertical angles in the figure.
Part C: Determine the measures of triangle a triangle b and triangle c in this figure. Show your work.
Answer:
A) Vertical angles are congruent
B) 40 and b are vertical angles and c and a are vertical angles.
C) <a = 40
<b = 140
<c = 140
Step-by-step explanation:
A straight angle is a straight line. It is 180°
Error Analysis Jacy was asked to write the
following statement as a conditional.
Water freezes if it is below 0°C.
What error did she make? What is the correct
conditional?
If water freezes, then it
is below O'C.
The error Jacy made was that the hypothesis or if part and the conclusion part was not appropriate . The correct conditional statement is "If water is below 0°C then water freezes."
Conditional statement is a statement which contain both hypothesis and conclusion . Thus there are two parts in conditional statement, first is the hypothesis part or the if part then the second part is the conclusion part or then part.
According to the question the conditional statement is
" Water freezes if it is below 0°C."
Which is not correct as the error is that the first part should be hypothesis part or if part and the second part should be the conclusion of the hypothesis.
Hence the correct conditional statement is :
"If water is below 0°C then water freezes."
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A young elephant weighs 135kg his weight increases by 20% how much does he weigh nw?
Answer:
162 kg
Step-by-step explanation:
135 + .2(135) = is the elephant's weight now
135 + 27 = 162 kg
Answer:
20% of 135 is 27 so you just add that to the original weight and you would get 162kg!
Step-by-step explanation:
Hope it helps! =D
Solve for the missing value:
One-half of what number is 30?
Write the fraction shown by this point…
Answer: -5/8
Step-by-step explanation:
Solve. Check for extraneous solutions. √3 x+13 -5=x
No The extraneous solution of this equation
The given equation is
[tex]\sqrt{3x + 13}[/tex] - 5 = x
[tex]\sqrt{3x + 13 }[/tex] = x + 5
We have to find the value of x, so we need to square both sides of the equation
[tex](\sqrt{3x + 13} )^{2}[/tex] = [tex](x + 5)^{2}[/tex]
3x + 13 = [tex]x^{2}[/tex] + 10x + 25
[tex]x^{2}[/tex] + 7x + 12 = 0
[tex]x^{2}[/tex] + 4x + 3x + 12= 0
x( x + 4) + 3( x + 4) =0
(x + 4) ( x + 3 ) = 0
x = - 3, -4
To find the value of the extraneous solution we need to put both the value of x in the equation
x = -3
[tex]\sqrt{(3 * -3) + 13}[/tex] - 5 = -3
[tex]\sqrt{-9 + 13}[/tex] - 5 = -3
[tex]\sqrt{4}[/tex] - 5 = -3
2 - 5 = -3
-3 = -3
Now
x = -4
[tex]\sqrt{(3 * -4 ) + 13}[/tex] - 5= -4
[tex]\sqrt{-12 +13}[/tex] - 5 = -4
[tex]\sqrt{1}[/tex] - 5 = -4
-4 = -4
Hence we get that the value of x is the solution to the equation.
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#11 What is the absolute
value of -19?
Find each real root. √25
The correct answer to the given question is 5 .
If a mathematical equation has real roots, then its solutions or roots are real numbers. If an equation has distinct roots, we contend that all of its solutions or roots are not equal. A quadratic equation has real and distinct roots if its discriminant is bigger than.
In the case where the discriminant is positive or zero, a quadratic equation has real roots (not negative). This indicates that, in terms of algebra, b² >= 4ac. This indicates visually that the quadratic's parabola-shaped graph crosses the x axis at least once.
We have been given to evaluate √25 .
√25 = √(5 × 5)
= √5²
= 5
Therefore, the value of the given question is 5.
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What is the order of the symmetry of the pizza shown below?
6
07
04
08
Answer:
6
Step-by-step explanation:
pizza has rotational symmetry of 60 degrees. Thus, the order of symmetry will be 6.
Simplify each number.
64²/₃
The simplified form of given number is 16
We are given the number 64 with exponent ²/₃
Now, as per the known fact, cube of 4 is equal to 64. As, 4 multiplied with 4 gives 16. Further multiplying 16 and 4 gives 64. So, rewriting the number using 4 as follows -
Number = [tex]4^{3(2/3) }[/tex]
Cancelling 3 from exponent as it is present in both numerator and denominator. Rewriting the number with remaining exponent to find the simplified form of the number-
Number = 4²
Taking square of the number to find the simplified form of the number given in question
Number = 16
Hence, the simplified form of the number is 16
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A is 40% of B. What percentage is B of A?
Answer:
250%
Step-by-step explanation:
divide both sides by 0. 4 so A/0.4=B then rearrange so then its (1/0.4)xA=B then divide so its 2.5A=B and obviously 2.5= 250/100 so that makes the answer 250%
is that better?