Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
Which expression is equivalent to 4-10(9m-7)
Answer:
D
Step-by-step explanation:
4-90m+70
74-90m so
D
if my answer helps please mark as brainliest
The equivalent expressions is 74 - 90m.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
4-10(9m-7)
Now solving the expression
= 4-10(9m-7)
= 4- 90m + 70
= 74 - 90m
Hence, the equivalent expressions is 74 - 90m.
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22. How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?
The set of positive integers less than 1000 that are:
a)Divisible by 7 are 142
b)Divisible by 7 but not by 11 are 130
c)Divisible by both 7 and 11 are 12
d)Divisible by either 7 or 11 are 220
e)Divisible by exactly one of 7 and 11 are 220
f)Divisible by neither 7 nor 11 are 780
g)Having distinct digits are 576
h)Having distinct digits and even are 337
We have,
A whole number that is greater than zero is known as positive integer
a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.
Total terms: 994, divided by 7, plus (n-1)
There are 142 total terms below 1000 that are divisible by 7.
b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.
The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.
c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.
There are 12 total integers below 1000 that can be divided by 77.
d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.
The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.
Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.
e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.
f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.
g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),
=> Unique digits from 1 to 100 equal 90.
=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),
=> Unique digits from 101 to 200 are: 100 to 28, 72.
=> Unique numbers between 201 and 1000 = 72 x 8 = 576.
h)Different digits and even values equal to 337
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Dan mixes 1/2 cup of regular milk for every 3/4 cup of chocolate milk to make his favorite drink. He wishes to make 15 cups of this mature to enjoy throughout the week How much regular milk and chocolate milk will he use?
1 cup of his favorite drink = 1/2 cup of regular milk + 3/4 cup of chocolate milk
Let:
A = Favorite drink
B = Regular milk
C = Chocolate milk
He wishes to make 15 cups of this mature to enjoy throughout the week, so:
\(\begin{gathered} A=\frac{1}{2}B+\frac{3}{4}C \\ \text{Multiply both sides by 15:} \\ 15\cdot A=15\cdot(\frac{1}{2}B+\frac{3}{4}C) \\ 15A=\frac{15}{2}B+\frac{45}{4}C \end{gathered}\)He will need to mix 15/2 cup of regular milk and 45/4 cup of chocolate milk
Which equation represents the standard form of f(x)?
A
f(x) = 2x2 - 7x - 13
B
f(x) = 2x2 - 7x - 22
с
f(x) = 2x2 - 15x + 22
D
f(x) = 2x2 - 7x + 13
QUESTION 2
Step-by-step explanation:
step 1. the standard form of a quadratic equation is f(x) = ax^2 + bx + c
step 2. since they are all in standard form you need to provide more information.
A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
derrick is preparing to submit his taxes. over the year, he kept track of certain deductions he is able to claim (all rounded to the nearest dollar). these values are given below. 65,144,97,144,103,98,101,127,58,151 derrick figures that he will receive the following amounts: $25 for each deduction that is under $130 and $45 for each deduction that is $130 or more. use the ti-83 or 84 to draw a histogram for these values using 4 classes. using that histogram, determine how much total derick will receive from all of his deductions.
Derrick will receive total of $340 from all of his deductions
To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.
Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:
Class 1: 58
Class 2: 82
Class 3: 106
Class 4: 130
We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:
Class 1: 81
Class 2: 105
Class 3: 129
Class 4: 153
Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:
Class 1: 1 (58)
Class 2: 3 (97, 98, 101)
Class 3: 3 (103, 127, 144)
Class 4: 3 (144, 151, 65)
We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.
Derrick will receive the following total from all of his deductions:
$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340
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Simplify
8!/(8-2)
A. 720
b. 0.018
C. 8
d. 56
e. 40320
f. 1.333
Answer:
D) 56
Step-by-step explanation:
\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)
may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements
HELP !!!
Find the equation of a line parallel to -3x - 5y = 4 that contains the point (4,3). Write the equation in slope-intercept
form
9514 1404 393
Answer:
y = -3/5x +27/5
Step-by-step explanation:
Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:
-3(4) -5(3) = -12 -15 = -27
In the given form, the equation of the desired line is ...
-3x -5y = -27
Solving for y, we have ...
-5y = 3x -27
y = -3/5x +27/5
Identify the graph of y≤3x−1.
Answer:
The points are at 0,-1 and 0.333, 0
Step-by-step explanation:
what is the value of m
The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
What is angle subtended by an arcThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
arc RS = 2(m∠RQS)
Also arc AD = 140°
2(m∠RQS) = 140°
m∠RQS = 140°/2 {divide through by 2}
m∠RQS = 70°
Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
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A. Answer what is asked. Show your solutions. 1. Given the measure of one interior angle of a regular polygon, give the number of sides.
a. 108 b. 140
2. What is the sum of the different measures of the exterior angles of a polygon with 105 sides
3. What is the measure of the exterior angle of a regular dodecagon?
please I need the answer right away !
Answer:
1: b
2:18540°
3:30°
Step-by-step explanation:
I hope it's help
Help ASAP please
Suppose that you deposit $6500 into a bank account that pays 4% annual interest compounded continuously. Assuming that you make no other deposits or withdrawals, how long will it take before your account balance reaches $10,000?
Round your answer to the nearest tenth.
The time it will take for your account balance to reach $10,000 is given as follows:
t = 10.8 years.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
A(t) = A(0)e^(kt).
In which:
A(0) is the initial deposit.k is the interest rate, as a decimal.The parameters for this problem are given as follows:
A(0) = 6500, k = 0.04.
Hence the time needed for a balance of $10,000 is obtained as follows:
10000 = 6500e^(0.04t)
e^(0.04t) = 10000/6500
0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential
t = ln(10000/6500)/0.04
t = 10.8 years.
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Find the square root to the nearest a.) integer and b.) tenth
Solution
Find the square root to the nearest a.) integer and b.) tenth
(a) Nearest Integer:
\(\begin{gathered} -\sqrt{\frac{335}{2}} \\ =-12.99 \\ \approx13 \end{gathered}\)(b) Nearest tenth:
\(\begin{gathered} -\sqrt{\frac{335}{2}} \\ =-12.94217 \\ \approx-12.9 \end{gathered}\)21. An RSTU rectangle is drawn on the coordinate plane with coordinates R(-1, 5), S(4, 5), T(4, 9) and then translated by T(2,-3), then the image coordinates of point U are
The image coordinates of point U, after translating the RSTU rectangle by T(2,-3), would be U(6, 6).
To find the image coordinates of U, we need to apply the translation vector T(2,-3) to each of the original coordinates.
The translation vector represents the horizontal and vertical distances by which each point is moved.
Starting with the original coordinates of point U, which are (4, 9), we add the horizontal distance of 2 to the x-coordinate and subtract the vertical distance of 3 from the y-coordinate.
Therefore, the new x-coordinate of U is 4 + 2 = 6, and the new y-coordinate is 9 - 3 = 6.
Thus, the image coordinates of point U after the translation are (6, 6). This means that U has been moved 2 units to the right and 3 units downward from its original position.
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can someone please help? don’t have a lot of time left
Answer:
158 m²
Step-by-step explanation:
Get the area of all the faces, then add them
2(8 x 3) = 48
2(3 x 5) = 30
2(8 x 5) = 80
48 + 30 + 80 = 158
the formula p=f/a can be used to relate pressure, force and area. solve the formula for a
===============================================
Explanation:
We'll solve for 'a' doing these two steps in this exact order
Multiply both sides by 'a'Divide both sides by pWe do this because we're following PEMDAS in reverse to isolate the variable we want.
The steps look like this
p = f/a
pa = f
a = f/p
Note how ultimately the 'a' and p variables swap places when going from p = f/a to a = f/p
what is the surface area for this figure
The surface area of the triangular prism is 313.47 cm².
Given is a triangular prism, we need to find the surface area,
A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.
Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.
so, the surface area of a triangular prism =
perimeter × length + 2 × base area
So,
SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9
= 167.67 + 145.8
= 313.47
Hence the surface area of the triangular prism is 313.47 cm².
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Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below
Answer:
12x7 4 times add it up u got the anwser
What did the priests do for the community? a. taught religion c. held mass b. had Indians put on plays d. all of the above Please select the best answer from the choices provided A B C D
Answer:
I'm pretty sure it's A but I could be wrong
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Round your answers to one decimal place. Class limits Frequency 11–13 1 14–16 16 17–19 11 20–22 7 23–25 1 26–28 2
The variance and standard deviation for the given frequency of pupils per teacher in some states of US is
Variance= 4.62 = 4.6
Standard Deviation = 2.14 = 2.1
The frequency distribution shows the average number of pupils per teacher in some states of the United States.
Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data. On the other hand, if data consists of individual data points, it is called ungrouped data. The sample and population variance can be determined for both kinds of data.
The standard deviation(σ) of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means Standard Deviation = √variance.
For the given data the sum of frequencies(ni) = 1+16+11+7+1+2= 38.
Midpoint(mi) is 12,15,18,21,24,27.
ni * mi = 12,240,198,147,24,54.
Sum of ni * mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)^2 is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)^2 = 175.62.
Variance = Sum of (mi - u)^2 / sum of frequencies
=> 175.62/38
=> 4.62 = 4.6.
Standard deviation = √variance.
=> √4.62
=> 2.14 = 2.1.
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Each limit represents the derivative of some function f at some number a. State such an f and a in each case.
lim √9 + h - 3 / h
h-->0
Answer:
a = 0f(h) = \(\frac{\sqrt{9+h} - 3}{h}\)limit of the function is 1/6Step-by-step explanation:
The general form representing limit of a function is expressed as shown below;
\(\lim_{h \to a} f(h)\) where a is the value that h will take and use in the function f(h). It can be expressed in words as limit of function f as h tends to a. Comparing the genaral form of the limit to the limit given in question \(\lim_{h \to 0} \frac{\sqrt{9+h} - 3}{h}\), it can be seen that a = 0 and f(h) = \(\frac{\sqrt{9+h} - 3}{h}\)
Taking the limit of the function
\(\lim_{h \to 0} \frac{\sqrt{9+h} -3}{h}\\= \frac{\sqrt{9+0}-3 }{0}\\= \frac{0}{0}(indeterminate)\)
Applying l'hopital rule
\(\lim_{h \to 0} \frac{\frac{d}{dh} (\sqrt{9+h} - 3)} {\frac{d}{dh} (h)}\\= \lim_{h \to 0} \frac{1}{2} (9+h)^{-1/2} /1\\=\frac{1}{2} (9+0)^{-1/2}\\= \frac{1}{2} * \frac{1}{\sqrt{9} } \\= 1/2 * 1/3\\= 1/6\)
The graph of y = f(z) is graphed below. What is the end behavior of f (x)?
Answer: The first one
Step-by-step explanation:
as x -> positive infinity, f(x) = negative infinity
as x -> negative infinity,f(x)=negative infinity
find the number of degrees moved by the minute hand of a clock in the give amount of time 2/3 hour ??
The number of degrees moved by the minute hand of a clock in 2/3hours is 240°
What is angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.
The hand of minute will move 360° to complete an hour.
If a full round will make angle at a point. Which is 360°
Therefore 2/3 of an hour will give an angle of 2/3 of 360°
= 2/3 × 360
= 240°
therefore the number of degrees moved by the minute hand in 2/3 hour is 240°
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How much is 571, 863 rounded to the nearest thousand?
O 571,900
571,000
O 572, 000
O 572, 063
There are 10 red, 10 black, 10 white, and 10 gray marbles in a jar. If all the marbles are identical, what is the least number of marbles that must be drawn out in order to ensure that among the marbles drawn out, 5 marbles will be the same color?
(A) 5
(B) 9
(C) 17
D) 40
(E) 41
How many solutions does 4x+2(x-5) =3(2x-4) have
What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D
Answer the questions below to find the total surface area of the can.
Ab=3.14xRadious to the power of 2
then to the area of the rectange you do B x H = YOUR ANSWER