identify the terms,coefficients,and constants in the exspression 6m2+7n
solve equation 7-5c=17+5z
Answer:
This question is impossible! For two different variables, we need two different equations. Without that, there is no hope! :)
Answer:
c= -z-2
Step-by-step explanation:
[tex]7-5c=17+5z\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\\7-5c-7=17+5z-7\\\\Simplify\\\\-5c=5z+10\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\\\frac{-5c}{-5}=\frac{5z}{-5}+\frac{10}{-5}\\\\Simplify\\\\c=-z-2[/tex]
Need these 2 answered. 50 points!
Please Show your work, Thanks! :)
Answer:
1) A
2) C
Step-by-step explanation:
Question 1)
We have the function:
[tex]y=2(x+2)^2-3[/tex]
Notice that this is a quadratic function in the vertex form:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex point, a is the leading co-efficient, and h is also the axis of symmetry.
Let's identify these characteristics first. Our leading co-efficient a is 2.
And our vertex is (-2, -3). It is not (2, -3) because (x+2) is the same as (x-(-2)).
We want to find the minimum or maximum value of our function, as well as the domain and range.
First, by looking at our leading co-efficient, which is 2, we can see that it's positive. Therefore, our parabola curves upwards.
Therefore, we will have a minimum value. And this minimum value will be our vertex.
Our vertex is (-2, -3). Therefore, our minimum value is at y=-3.
The domain of all quadratics is always all real numbers.
For the range, we refer to our minimum/maximum value.
Our parabola curves upwards and our minimum value is at y=-3.
Therefore, our range is all numbers greater than or equal to -3.
The choice that represents all of these answers is A.
Question 2)
We have:
[tex]y=2(x+2)^2-4[/tex]
Again, this is in vertex form. Let's identify our characteristics.
Our leading co-efficient a is 2, so the graph curves upwards.
And our vertex is at (-2, -4).
The axis of symmetry is the same as the x-coordinate of our vertex. Therefore, our axis of symmetry is at x=-2.
So, this function has a vertex at (-2, -4) and an axis of symmetry at x=-2.
The choice that represents these characteristics is C.
So, our answer is C.
And we're done!
1. Complete the table by filling up the columns corresponding to the properties of each quadrilateral Number of Congruent Number of Right Number of Pairs of Slide Angles Parallel Sides Quadrilateral 1. Kite 2. Trapezoid 3. Isosceles Trapezoid 4. Parallelogram 5. Rectangle 6. Rhombus 7. Square
The table can be completed by filling in the columns corresponding to the properties of each quadrilateral. These properties include the number of congruent sides, the number of right angles, and the number of pairs of parallel sides.
Different types of quadrilaterals have distinct characteristics, and the table helps identify and compare these properties.
To complete the table, we need to consider the properties of each quadrilateral mentioned:
Kite: A kite has two pairs of congruent sides, no right angles, and no pairs of parallel sides.
Trapezoid: A trapezoid has no congruent sides, no right angles, and one pair of parallel sides.
Isosceles Trapezoid: An isosceles trapezoid has two congruent sides, no right angles, and one pair of parallel sides.
Parallelogram: A parallelogram has no congruent sides, no right angles, and two pairs of parallel sides.
Rectangle: A rectangle has two pairs of congruent sides, four right angles, and two pairs of parallel sides.
Rhombus: A rhombus has four congruent sides, no right angles, and no pairs of parallel sides.
Square: A square has four congruent sides, four right angles, and two pairs of parallel sides.
By filling in the corresponding columns for each property in the table, we can accurately describe the unique characteristics of each quadrilateral and compare their properties side by side.
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List 2 things that are
special about the red
line.
1
Simplify the expression: 2(3x – 5) + 4x - 7
Answer:
[tex] \huge{ \fbox{ \sf{10x - 17}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \: 2(3x - 5) + 4x - 7}[/tex]
Distribute 2 through the parentheses
[tex] \mapsto{ \sf{6x - 10 + 4x - 7}}[/tex]
Add the like terms : 6x and 4x
Like terms are those which have the same base.
[tex] \mapsto{ \sf{10x - 10 - 7}}[/tex]
[tex] \underline{ \text{Remember!}} : [/tex] The negative integers are always but added but posses the negative ( - ) sign.
[tex] \mapsto{ \sf{10x - 17}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
10x -17Step-by-step explanation:
[tex]2(3x - 5) + 4x - 7\\\\\mathrm{Expand}\:2\left(3x-5\right):\quad 6x-10\\\\=6x-10+4x-7\\\\\mathrm{Simplify}\:6x-10+4x-7:\\\\\quad 10x-17[/tex]
what number would “x” be
Answer:
your answer
hope this is right
Answer:
5
Step-by-step explanation:
[tex]( {4}^{x) {}^{3} } = {4}^{15} \\ {4}^{3x} = {4}^{15} \\ 3x = 15 \\ x = 5[/tex]
why can u call y = mx + b a “literal” equation?
Answer:
Equations made up of multiple variables like formulas.
Step-by-step explanation:
Similar to how y = mx+b has many letters in it but we can input known values to solve for the values that we want.
Trapezoid ABCD has ∠BAD = ∠ADC = 90°, AB = x, and DC = y with x < y. Diagonals AC and BD intersect at X. Point L is on AD and point M is on BC so that LM is parallel to AB and LM passes through X. Determine the length of LM in terms of x and y.
The length of LM in terms of x and y can be determined using the properties of similar triangles. It is equal to x^2/(x + y).
The length of LM in terms of x and y is (x^2*y)/(x^2 + y^2).
In a trapezoid ABCD with right angles at B and D, the diagonals AC and BD intersect at point X. To find the length of LM, we can consider the similar triangles formed. Since LM is parallel to AB, we have similar triangles LXB and AXD. Similarly, we have similar triangles MXC and CXA.
Let's denote the length of LM as l. Using the similarity ratio of the triangles, we can write:
l/(x - l) = y/x and l/(y - l) = x/y\
Cross-multiplying these equations and simplifying, we get:
l^2 = xy(x + y) / (x^2 + y^2)
Taking the square root of both sides, we have:
l = sqrt(xy(x + y) / (x^2 + y^2))
Simplifying further, we get:
l = (x^2 * y) / (x^2 + y^2)
Therefore, the length of LM in terms of x and y is given by (x^2 * y) / (x^2 + y^2).
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I need this today. Which two integers is 37 square root between?
Answer:
The square root of 37 is approximately 6.0827. To determine which two integers it lies between, we can find the integers that are closest to the square root of 37.
The integer that is smaller than 6.0827 is 6, and the integer that is larger than 6.0827 is 7.
Therefore, the square root of 37 is between the integers 6 and 7.
Find The Value Of X?
[tex]\tt Step-by-step~explanation:[/tex]
The two red ticks indicate that those lines are the same length (Isosceles triangle).
Since the two lines are the same length, then that means that both of the angles are the same measure, too. One angle is measured at 71, so that means x = 71.
[tex]\Large\boxed{\tt Our~final~answer:~x=71^o}[/tex]
Part I: Effective cost per hour
1 shift (8 hours) per day
5 holidays
7 days of vacation
Fringe: 37% of base wage
Base hourly wage: $12.30 per hour
30-minute lunch (paid) plus two 15-minute breaks (paid) per day
1. What is the effective cost per hour per employee? (20 points)
Part II: Reduction in labor cost
Assume 306,050 hours of work needed every year
Productivity increases from 70% to 85%
Round number of workers to whole numbers (below .5, round down; .5 and above, round up)
2. What is the total dollar change in labor expense from this 15% increase in productivity? (10 points) 3. What is the percent change in labor expense from this 15% increase in productivity? (10 points)
The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].
Part I: Effective cost per hour per employee
To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.
Base hourly wage: $12.30 per hour
Number of working hours per day: 8 (1 shift)
Number of holidays: 5
Number of vacation days: 7
First, let's calculate the total fringe benefits per hour:
Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551
Next, let's calculate the paid time off per hour:
Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours
Now, let's calculate the effective cost per hour per employee:
Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)
Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)
Part II: Reduction in labor cost
To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.
Number of working hours needed every year: 306,050
Productivity increase from 70% to 85%: 85% - 70% = 15%
First, let's calculate the initial number of workers needed:
Initial number of workers = Number of working hours needed / (Productivity rate / 100)
Initial number of workers = 306,050 / (70 / 100)
Next, let's calculate the new number of workers needed after the productivity increase:
New number of workers = Number of working hours needed / (New productivity rate / 100)
New number of workers = 306,050 / (85 / 100)
Finally, let's calculate the total dollar change in labor expense:
Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year
To calculate the percent change in labor expense, we can use the following formula:
Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100
Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.
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how would you solve the equation 4× =100
Answer:
divide both sides by 4
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
divide 100 by 4 because 4 times x is 100.
The mean of 24 numbers is 35. If 3 is added to each number, find the new mean?
Answer:
38
Step-by-step explanation:
If you add 3 to the numbers, then you add 3 to the average, or mean.
Answer:
38
Step-by-step explanation:
24 * 35 = 840
24 * 3 = 72
840 + 72 = 912
912 / 24 = 38
An angle measures 66º more than the measure of its complementary angle. What is the
measure of each angle?
Answer:
24
Step-by-step explanation:
this will probably help, Every complementary angle is equal to 90 so the other angle must be....24
Which of the following graphs can be used to find the solution to the system of equations shown below 2x+6y=8 and 3x+9y=4
Answer:
where are the graphs? I have to see them to give a correct answer
Diana placed three tomato plants (A, B, C) under three different types of light. She measured the height of each plant after 3 weeks. What is the independent variable? O the tomato plant the type of light O the height of the plant O 3 weeks
The independent variable in an experiment is the variable that is deliberately manipulated or changed by the experimenter. It is the variable that is under the control of the researcher and is varied throughout the experiment to measure its effect on the dependent variable.
The dependent variable is the variable that is being measured in the experiment and is influenced by the independent variable.In the given experiment, Diana placed three tomato plants (A, B, C) under three different types of light and measured the height of each plant after 3 weeks. The independent variable in this experiment is the type of light because it is the variable that is being manipulated or changed by Diana.
She is varying the type of light to see its effect on the height of the tomato plants. The dependent variable in this experiment is the height of the tomato plants because it is the variable that is being measured and is influenced by the independent variable.
In the given experiment, Diana placed three tomato plants (A, B, C) under three different types of light and measured the height of each plant after 3 weeks. The aim of this experiment is to determine the effect of different types of light on the growth of tomato plants. To carry out this experiment, Diana manipulated the type of light and measured the height of the tomato plants. The independent variable in this experiment is the type of light because it is the variable that is being deliberately manipulated by Diana.
The three types of light are the independent variables that are being tested to see if they affect the growth of the tomato plants differently.
By exposing each tomato plant to a different type of light, Diana is testing the effect of light on plant growth. The dependent variable in this experiment is the height of the tomato plants because it is the variable that is being measured and is influenced by the independent variable. The height of the tomato plants will be different depending on the type of light they are exposed to.
The experiment will be based on the results obtained from measuring the height of the tomato plants. If the tomato plants exposed to one type of light grew taller than those exposed to other types of light, then it can be concluded that the type of light has an effect on the growth of tomato plants. However, if all the tomato plants grow to the same height, then it can be concluded that the type of light does not affect the growth of tomato plants. Therefore, the independent variable in this experiment is the type of light, while the dependent variable is the height of the tomato plants.
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Tayvion is saving his money to buy a new game for his XBox. He started with $15.75. He earned $20.50 for babysitting his younger brother. He spent $8.25 for lunch at Taco Bell. How much money has Tayvion saved
It took a machine 4 minutes to fill 100 bottles. How long will it take the machine to fill 350 bottles?
Answer:
14 minutes
Step-by-step explanation:
4 x every 100 bottles
100, 200, 300 = 3
4 x 3 = 12
if 4 minutes is for every 100 bottles, then 50 is half of 100. so 4 divided by 2 is 2
12 + 2 = 14
whats 11/12 divided by 3
Answer:
[tex] \huge{ \bold{ \boxed{ \sf{ \frac{11}{36} }}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \: \frac{11}{12} \div 3}[/tex]
If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator .
[tex] \mapsto{ \sf{ \frac{11}{12} \times \frac{1}{3} }}[/tex]
To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator
[tex] \mapsto{ \sf{ \frac{11 \times 1}{12 \times 3} }}[/tex]
[tex] \mapsto{ { \sf{ \frac{11}{36} }}}[/tex]
[tex] \mapsto{ \boxed{ \sf{ \frac{11}{36} }}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
The division of the fraction gives the result as 11/36.
To calculate 11/12 divided by 3, express it as a fraction and then perform the division:
11/12 ÷ 3
To divide a fraction by a whole number, multiply the numerator by the reciprocal of the divisor (in this case, 3).
= 11/12 * (1/3)
Now, let's multiply the numerators and the denominators:
= (11 * 1) / (12 * 3)
= 11/36
Therefore, 11/12 divided by 3 is equal to 11/36.
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Which complex number is equivalent to the given expression?
(-45 - 22i) + 2(5 - 3i)(5 + 3i)
Answer:
23-22i
Step-by-step explanation:
The equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i
How to determine the complex number?The complex expression is given as:
(-45 - 22i) + 2(5 - 3i)(5 + 3i)
Apply the difference of two squares on the expression
(-45 - 22i) + 2(5^2 - (3i)^2)
Evaluate the squares
(-45 - 22i) + 2(25 + 9)
Expand the bracket
-45 - 22i + 68
Evaluate the like terms
23 - 22i
Hence, the equivalent expression of (-45 - 22i) + 2(5 - 3i)(5 + 3i) is 23 - 22i
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A square has an area of 64 ft? What is the length of each side?
Answer:
8 ft.
Step-by-step explanation:
The formula for area of a square is:
[tex]A=s^2[/tex]
We are given the area of 64 square feet.
[tex]64=s^2\\\\\sqrt{64}=\sqrt{s^2}\\\\ \boxed{8=s}[/tex]
Each side should be 8 ft.
Hope this helps.
Write 9.49 as a mixed number and as an improper fraction. Do not try to simplify your answers.
Answer:
mixed number 9 49/100 improper 949/100
Step-by-step explanation:
9.49 = 9 49/100 and 949/100
I WILL GIVE YOU BRAINLIEST FOR THIS ONE
Write each equation in slope-intercept form.
2y = -6-2x
Answer:
y=-x-3
Step-by-step explanation:
2y= -6-2x
2y=-2x-6
y=-x-3
.000007mm in scientific notation
Answer:
7 x 10 ^ -6 power i believe is the right answer
Step-by-step explanation:
When putting a decimal such as 0.0000000009 in scientific notation the exponent will be negative. To figure out how to write scientific notation just find the number that you need to multiply by to get the number we have now. To get to 0.000007 we need to find 7 and multiply that by a negative exponent so that it turns into a decimal. We see that the decimal point from the number 7 moves over 6 times to the left to get 0.000007 meaning that our exponent is -6.
Can someone answer asap!!?!? I’ll mark brainlist please help me
Answer:
9
Step-by-step explanation:
8/12=2/3
6/9=2/3
Answer:
I would honestly choose 9
Step-by-step explanation:
Because it is using cross products and you want them to equal the same, so you take 6 x 12= 72 so you take 8 and multiply by each number Each time you know 72 x 8 wont work and the 576 wont work and that .75 is going to be way too little therefore its 9 and you can check by multiplying 8 x 9= 72
Solve the equation:
4 - 6x - 2= -2(3x-1)
Answer:
4 - 6x - 2 = -2(3x - 1)
This is
2 - 6x = -6x + 2
So, 0 = 0
Infinite solutions! :)
13
Olu is going to take at random a counter from a bag.
The probability that he will take a red counter is 0.6
Olu writes down the colour of the counter.
He then puts the counter back in the bag.
Olu does this 50 times.
Work out an estimate for the number of times that Olu takes a red counter from the bag.
(Total for Question 13 is 2 marks)
Answer:
30
Step-by-step explanation:
0.6*50=30
Find the smallest positive integer greater than one which yields a remainder of one when divided by any single positive integer greater than 1
The smallest positive integer greater than one that yields a remainder of one when divided by any single positive integer greater than 1 is 2.
What is integer?An integer is a whole number that can be positive, negative, or zero and is not a fraction. It is either 0 (zero), a positive natural number (such as 1, 2, or 3), or a negative integer denoted by a minus sign (such as 1, 2, or 3).
Let's verify this by considering various divisors greater than 1:
When divided by 2: Remainder = 0 (not 1)
When divided by 3: Remainder = 2 (not 1)
When divided by 4: Remainder = 2 (not 1)
When divided by 5: Remainder = 2 (not 1)
...
As we can see, no positive integer greater than 1 other than 2 satisfies the condition of yielding a remainder of 1 when divided by any single positive integer greater than 1.
Therefore, 2 is the smallest positive integer that meets this criterion.
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