Answer:
[tex]x=-6, 0[/tex]
Step-by-step explanation:
Using the zero-product property, we know that [tex]x=0[/tex] or [tex]x+6=0[/tex].
This means [tex]x=-6, 0[/tex].
An entertainment center is 52 inches wide and 40 inches high. Will a tv with a 60 inches diagonal fit ?
No, a TV with a 60 inch diagonal would not fit in an entertainment center that is 52 inches wide and 40 inches high.
What is diagonal?Diagonal is a line connecting two or more points that are not in a straight line. It is used to describe the shape of a polygon and also used in mathematics to refer to lines, angles, and shapes. It can also refer to a line, or direction, that is not parallel or perpendicular to something else. In geometry, diagonal lines are used to divide shapes into equal parts, and are used in the construction of polygons. In linear algebra, diagonal lines are used to calculate the determinant of a matrix.
The diagonal measurement of a TV is the length of a line drawn between the opposite corners of the TV. For a 60 inch diagonal TV, the width of the TV would be around 52 inches and the height would be around 33 inches. As the entertainment center is only 40 inches high, the TV would not fit in it.
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Write 6789 correct to 3 significant figures
Answer:
The answer is 679
Step-by-step explanation:
A significant figure is a number greater than zero so to 3 significant figures just count 3 from the front then round up 9 and it becomes 1 then add it to 8 to become 9 which equals 679
Hope it helps
Pls rate as brainliest answer
Helpppp pleaseeeeeeeee
Answer:
Step-by-step explanation:
Is log e and log same?
The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
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CAN SOMEONE PLS HELP WITH THIS QUESTION ILL GIVE 20 POINTS
To fix their problem, a consumer is requesting a phone call,... I'll get a notification as soon as you respond.
How high is the ball after one second?The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.
How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.
Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.
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a dealer sold printing machine for 47460 including 13% vat. find the original price(excluding vat).
Answer:
42000
Step-by-step explanation:
Original price (before VAT) is 100% of price.
VAT is 13%, of the original price so final price is 113% of original price.
113% = 1.13
original price = 47460/1.13 = 42000
Andre saves up the same amount of money each week the table shows the amount he saves in different number of weeeks how much money does Andre save in 4p weeks
The amount of money saved by Andre in 40 weeks is $1280.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is Andre saves up the same amount of money each week.
We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -
y = mx + c
Then -
m = (288 - 224)/(9 - 7)
m = 64/2
m = 32
Now -
y = 32x + c
For the point (7, 224), we can write -
224 = 32 x 7 + c
c = 0
For {x} = 48, we can write the amount of money saved as -
y = 32 x 40
y = 1280
Therefore, the amount of money saved by Andre in 40 weeks is $1280.
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What is 3 6 equivalent to in fractions?
Answer:
1/2
Step-by-step explanation:
What are the zeroes of the function?
Correct option is B, The three zeros are 2, 3, -3.
The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.
If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.
y= (x-2)(x-3)(x+3)
The zeros of the above function are -
x = 2
x = 3
x = -3
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In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
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A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7
pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number of
males over age 27 they must include in their sample? Round your answer up to the next integer.
Answer:
To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:
n = (2 * standard error of the mean / margin of error)^2
Plugging in the values, we get:
n = (2 * (1 / sqrt(n)) / 0.09)^2
Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.
Step-by-step explanation:
Evaluate the expression 5(x – 6 + 3x)2 – 6 where x = 2.
Answers:
1: 974
2: 14
3: -16
4: 26
So the expression evaluates to 14 when x = 2.
To evaluate the expression, we first substitute x = 2 into the expression:
5(2 - 6 + 3*2)^2 - 6
There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.
The value of one variable from one equation is substituted in the second equation using the substitution method. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly.
Next, we simplify the expression inside the parentheses:
=5(2 - 6 + 6)^2 - 6
=5(2)^2 - 6
=5*4 - 6
=20 - 6
=14
So the expression evaluates to 14 when x = 2.
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What type of graph is an inverse relationship?
On a graph, an inverse relationship always has a negative slope.
What is an inverse relationship?In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.
A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.
Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.
When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.
Y declines as X rises in an inverse relationship.
An inverse relationship always has a negative slope on a graph.
Therefore, on a graph, an inverse relationship always has a negative slope.
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The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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Is 9x² 30x 25 a perfect square trinomial?
Yes, [tex]9x^2-30x +25[/tex] is a perfect square trinomial.
How can you tell if a trinomial is a perfect square?A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial of the form [tex]ax^2 + bx + c[/tex] meets the requirement [tex]b^2 = 4ac[/tex], it is said to be a perfect square.
What trinomial has a perfect square?Two of your terms will be perfect squares in a perfect square trinomial. This trinomial is not a perfect square trinomial if it lacks two perfect square terms. The square root of each perfect square word should now be determined, combine the two square roots, then multiply the result by two.
This trinomial is a perfect square. The only thing left to determine is whether the middle term matches when you square (3x-5) because both [tex]9x^2=(3x)^2\ and\ 25=52[/tex] are perfect squares. The minus sign was used to at least produce a negative coefficient for the middle term.
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Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500
The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.
What is an arithmetic average?In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the arithmetic average for the number of calories per bag?Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:
Arithmetic average = [F(x)]/n
Next, we would determine the total number of calories and then convert to ounces:
Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185
Total number of calories, F(x) = 788 calories.
Note: 1 pound = 16 ounces.
Total number of calories, F(x) = 788 calories × 16 ounces
Total number of calories, F(x) = 12,608 calories.
Now, we can calculate the arithmetic average for the number of calories per bag:
Arithmetic average = [F(x)]/n
Arithmetic average = 12,608/5
Arithmetic average = 2,521.6 ≈ 2,500.
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Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3{,}200\text{ m}3,200 m3, comma, 200, start text, space, m, end text. how many kilometers did issa travel from school to his house
The distance Issa travelled from school to his house is 9.6 km.
What is the distance travelled?The actual length covered by the body is defined as distance travelled, whereas displacement is the straight path between the initial and final points.
Here,
Let the total distance between school and home be 'x' meters.
Issa jogged two-thirds of x = 2x/3
So the total distance between school and home is = 2x/3 + 3200
However, the total distance from school to home = x
= 2x/3 + 3200 = x
= 3200 = x/3
= 9600 = x
As a result, the total distance from school to home is 9600 meters.
We're now converting it to kilometers.
We know that 1000 meters equals one kilometer.
9600 meters = 1/1000 x 9600
= 9.6 kilometers
Therefore the distance travelled will be 9.6 km.
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Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
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When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.
What is scatter-plot or scatter-gram?Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.
It is being utilized to determine how one variable influences the other.
The supplied statement in the question above represents the scatter plot.
Here,
When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.
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Can a/the variable in a algebraic expression be a base?
Answer:
yes
Step-by-step explanation:
yes
yes
yes
yes
yeyed
yes
In a survey of 170 girls, it was found that 18 girls
can neither dance nor can sing, 96 can dance and
69 can sing. By representing these information in
a Venn-diagram, find the number of girls who
both dance and sing.
Ans: 13
Answer:9
Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69
Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number.
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths
negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths
negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths
negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths
The inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number is: B. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Note: Let the variable y represent the unknown number.
Next, we would translate the word problem "negative one third is greater than or equal to the product of negative two fifths and a number" into an algebraic inequality as follows;
-1/3 ≥ -2/5 × y
-1/3 ≥ -2y/5
Multiplying both sides of the algebraic inequality by -5/2, we have:
-1/3 × -5/2 ≥ -2y/5 × -5/2
5/6 ≤ y
y ≥ 5/6.
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Write 63 521. 769 correct to the nearest hundred
A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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Step 3: Testing Jerome’s sister’s approach
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Complete the table below.
Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument.
Yes Jerome's sister is correct.
The answer to the table is given below.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here:
Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.
Drink mix 3 6 9 12 15
water cups 8 16 24 32 40
we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.
Hence, The complete table is shown above.
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Rob collects model planes one of his planes uses a sacks in which 1 inch represents 1. 5 feet if the length of the model airplane is 12 inches find the length of the actual airplane on feet
If 1 inch represents 1.5 feet, we can use this conversion factor to find the length of the actual airplane in feet. Thus 12 inches of model airplane represents an actual length of the actual airplane of 18 feet.
Therefore the answer is 18 feet.
To convert the length of the model airplane (12 inches) to feet, we can multiply it by the conversion factor (1 inch = 1.5 feet)
= 12 inches × 1.5 feet/inch
= 18 feet
So the length of the actual airplane is 18 feet.
It is important to pay attention to the units of measurement when performing conversions and make sure to use the correct conversion factor. And also it's a good practice to always check your answer to make sure it makes sense in the context of the problem.
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Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Logan made a profit of $210. 00 as a mobile groomer. He charged $75. 00 per appointment and received $35. 00 in tips, but also had to pay a rental fee for the truck at $10. 00 per appointment. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
The equations for parts A and B are 170 = 60x + 50 and 210 = 75x + 35 - 10x, respectively.
What is an equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
A) It is stated that Maci once earned $170 by grooming dogs.
For each appointment, she charges $60, and she received $50 in tips. Consequently, the equation to illustrate this is;
170 = 60x + 50
the number of appointments is x.
B) Logan earned $210.00 in profit. He charged $75.00 for each session and got $35.00 in gratuities. In addition, he had a $10.00 truck rental fee per appointment. In order to represent this, the equation is;
210 = 75x + 35 - 10x
the number of appointments is x.
C) The quantity of tips they will receive even without an appointment varies between the formulae.
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Using the five digits 7, 7, 8, 8, and 8 once each, how many positive five-digit integers can be formed?
Answer:
There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.
What is 3 8 equivalent to as a fraction?
Answer:
6/16
Step-by-step explanation:
Answer:
Step-by-step explanation:
15/40 i think
How to solve and answer?
Answer:
I believe the answer is 3
Step-by-step explanation:
because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.