The statement 5 less than three times a number x is expressed as an expression to 3x - 5
What is an algebraic expression?An algebraic expression can be described as an expression made up of coefficients, terms, factors, variables and constants.These expressions are also composed of some mathematical and arithmetic operations.
They include;
Addition
Division
Multiplication
Subtraction
Parentheses
Bracket, etc
From the information given, we have that; The number is x. The number is 5 times lesser than three times the value of xThis can be represented as; 3x - 5
Hence, the expression represented is 3x - 5
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Drag the cards to create a two-digit number that matches these rules.
Note: Not all cards will be used.
●
0
2 is one of the digits
10 is the nearest ten when rounding
1
Irse challenge
2 3
Answer:
12
Step-by-step explanation:
You want a 2-digit number that rounds to 10 and has 2 as one of its digits.
Rounds to 10The integers that round to 10 are in the rangle 5–14. The only one of these that has a digit of 2 is 12.
The 2-digit number is 12.
Richard and Teo have a combined age of 32. Richard is 8 years older than twice Teo's age. How old are Richard and Teo?
Answer: Richard =24 Teo = 8
Step-by-step explanation:
32-8 = 24
24-8 = 16
16/2= 8
what is 5,821 g = ___ dag
Answer:
582.1
Step-by-step explanation:
Name the vertices of the following points when they have been translated 6 units to the right and 10 units up A(1,-1) B (2, -2) C(-2,2)
A. C’(8,8)
B. C’(-8,-8)
C. C’(4,12)
D. C’(-4,12)
The translated points are A'(7, 9), B'(8, 8), and C'(4, 12) when they have been translated 6 units to the right and 10 units up.
What is a coordinate plane ?A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.
The given points are,
A(1, -1), B (2, -2) and C(-2, 2).
When the points are translated 6 units to the right and 10 units up implies that,
There will be increase of 6 units in x coordinate and increase of 10 units in y coordinate
The point coverts as
A'(7, 9), B'(8, 8), and C'(4, 12)
The translated points are A'(7, 9), B'(8, 8), and C'(4, 12).
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What’s the value of z ?
Answer:
z = 7
Step-by-step explanation:
We know that, sum of the exterior angles of a quadrilateral is added up to 360°.
Accordingly,
115 + 7z + 12z + 16z = 360
Combine like terms.
115 + 35z = 360
Subtract 115 from both sides.
35z = 360 - 115
35z = 245
Divide both sides by 35.
z = 7
A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t) = - 16t^2 + 116t + 96 models the balls height about the ground, h(t), in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? __ feet
b) How many seconds does it take until the ball hits the ground? __ seconds
Answer:
the answer is 306.25 feet and b is 8 sec
Step-by-step explanation:
Explanation
The height of the ball as a function of the time is given by the following formula:
A. Maximum height of the ball
To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:
Solving the last equation for t, we get time t when the height is maximum:
So the maximum height is given by the value of h(t) when t = 2.5:
The maximum height is 196ft.
B. Time until the ball hits the ground
The ball will hit the ground when h(t) = 0. So we must find the value of t such that:
Solving this equation is equivalent to finding the roots of a second-order polynomial:
Where:
• a = -16,
,
• b = 80,
,
• c = 96.
The roots of this polynomial are given by the following formula:
s
Answer
A. The maximum height of the ball is 196 ft.
a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?
If the expected value of d is not equal to d, then the property that d hat exhibit is option (E) d hat is biased
Here a certain statistic d cap is being used to estimate a population parameter d
The central limit theorem states that "the distribution of sample means approximates a normal distribution as the sample size gets larger."
According to the central limit theorem,
The expected value is μ = p
Then the standard error will be
s = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Here it is given that the expected value of d cap is not equal to d. So it is different from the expected value μ = p.
Therefore, the d hat is biased
I have answered the question in general, as the given question is incomplete
The complete question is :
A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?
A. The sampling distribution of d hat is normal.
B. The sampling distribution of d hat is binomial.
C. The sampling distribution of d hat is uniform.
D. d hat is unbiased.
E. d hat is biased.
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In each of the follwing, find:
a. (fg)(x)
b. (f-g)(x)
c. (f *g )(x)
d. (f/g) (x)
1. F(x) = 3x 4; g(x) = 2x - 1
2. F(x) = x-1/ x2, g(x) = 1/x
The solution to the following functions are 1) 6x5-3x4, 3x4+1, 6x5-3x4, 3x4 / (2x-1), 2)(x-1)/x3, (x-1)/x2 - 1/x, (x-1)/x3, x-1
What are functions?The relationship between two sets of numbers is described mathematically by a function. It is a mathematical equation that assigns a unique output value to each input value inside a specific domain. Functions are frequently expressed by a letter, such as F(x) = 3x+ 4 or g(x), where the letter indicates the function and the input value is represented by the variable x.
Functions can be either linear or nonlinear, and they can have a single or numerous outputs for each value of the input. They are frequently employed to simulate real-world situations and generate predictions based on available information. Functions can be graphed on a coordinate plane to visualise their behavior, and they can be combined or transformed using various mathematical operations.
How to solve?
1)a. (fg)(x) = (3x4)(2x-1) = 6x5-3x4
b. (f-g)(x) = (3x4) - (2x-1) = 3x4+1
c. (f *g )(x) = (3x4) * (2x-1) = 6x5-3x4
d. (f/g) (x) = (3x4) / (2x-1) = 3x4 / (2x-1)
2)a. (fg)(x) = (x-1/x2) * (1/x) = (x-1)/x3
b. (f-g)(x) = (x-1/x2) - (1/x) = (x-1)/x2 - 1/x
c. (f *g )(x) = (x-1/x2) * (1/x) = (x-1)/x3
d. (f/g) (x) = (x-1/x2) / (1/x) = (x-1)/x2 / (1/x) = (x-1)/x2 * x = x-1
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Determine the equation of the parabola that opens up, has vertex (-4,-8)(−4,−8), and a focal diameter of 1616.
The equation of parabola will be;
⇒ y = 4 ( x + 4)² - 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The vertex = (- 4, - 8)
And, The focal diameter = 16
Now,
Since, The vertex (h, k) = (- 4, - 8)
And, The focal diameter (4a) = 16
⇒ 4a = 16
⇒ a = 4
Hence, The equation of parabola with vertex (h, k) will be;
⇒ y = a (x - h)² + k
Substitute all the values, we get;
⇒ y = 4 (x - (-4))² + (-8)
⇒ y = 4 ( x + 4)² - 8
Thus, The equation of parabola will be;
⇒ y = 4 ( x + 4)² - 8
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Denise earns $225 a week with a part time job at the local florist. She decides to put 30% of the amount into a saving account. How much money does Denise put in the savings account each week?
Denise puts $67.50 in the savings account every week.
What is a percentage?
Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) besides the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
To find out how much money Denise puts in the savings account each week, you need to multiply her weekly earnings by the percentage she puts into the savings account.
First, convert the percentage to a decimal by dividing by 100: 30% = 0.30
Then, multiply Denise's weekly earnings by this decimal to find the amount she puts into the savings account each week:
=$225 * 0.30
=67.50.
Hence, Denise puts $67.50 in the savings account each week.
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Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles a
The corresponding angles of two similar triangles are
The solutions are that Two comparable triangles have proportional corresponding sides. And Two comparable triangles matching angles
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
For a regular polygon of any number of sides, therefore the sum of its exterior angle is 360°.
Given statements that the corresponding sides might be altered, they must still be proportionate.
The triangles will be congruent also, if they are.
But the angles must always line up otherwise the triangle's overall shape will change and it won't look the same.
Two comparable triangles must have proportional corresponding sides.
Two comparable triangles must matching angles match up.
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Please help ASAPP!!!
Answer: asa
Step-by-step explanation: I just did this
can somebody please help
Answer:
(4,12) Quadrant l
(-5,2) Quadrant ll
(-9,-4) Quadrant lV
(3,-3) Quadrant lll
Step-by-step explanation:
hope this helps!
The area of a rectangle is 2 square feet. The perimeter of the rectangle is 9 ft. Find the length, ll, and width, ww, of the rectangle. What is l^2 + w^2l 2 +w 2 ?.
The rectangle is 4 feet long and 0.5 feet wide. l²+w² equals 16.25 feet².
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is a phrase used to describe how much room a 2D form or surface occupies.
Here,
Let l be the length and w be the width.
area=2
lw=2
w=2/l
2(l+w)=9
2l+2w=9
2l+2*2/l=9
2l²+4=9l
2l²-9l+4=0
l=0.5,4
w=4,0.5
l=4 and w=0.5
l²+w²=4²+0.5²
=16.25 feet²
The length of rectangle is 4 feet and width is 0.5 feet. The value of l²+w² is 16.25 feet².
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Harper calculated the slopes of both AB and XY. "That can't be right," she
said to herself after she calculated the slopes. "I got the same answer for both
lines. I must have made a mistake." She ponders the problem, but cannot figure
out what to do. She explains "I used completely different points when I calculated
the slopes. How can the slopes be the same?" she asks.
What do you think? Give Harper some suggestions and advice. Be clear and
complete
The slopes of the segments can be the same as long as the change in y divided by the change in x of both segments is the same. This means that the two segments are parallel.
How to obtain the slope of a line?The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.
Hence, given two points on a line, the slope is calculated by the division of the change in y divided by the change in x.
As long as the changes are the same, two different segments can have the same slope, which is the case when they are parallel, meaning that they meet only at infinity.
One possible example of two parallel segments is given as follows:
Endpoints: (0, 5) and (2,9).Endpoints: (-1,3) and (1,7).More can be learned about the slope of a linear function at https://brainly.com/question/24808124
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3. Write an equation that represents the line that passes through the point (7,4) and has a slope of 4/9
Mr. Tazari bought 4 new plants for his garden. Each plant cost $7. The store
gave him a discount, so he only paid of the regular price for each plant.
Use the properties of multiplication to find the total cost for all the plants.
Answer:
21
Step-by-step explanation:
Please help
-2.5(-3+4.2n+8)
Answer:
-12.5 -10.5n
Step-by-step explanation:
Use distributive property to solve:
1. -2.5 x -3 = 7.5
2. -2.5 x 4.2n = -10.5n
3. -2.5 x 8 = -20
Simplify:
7.5-20= -12.5
-12.5 -10.5n
the b value is 0.4 per year. what percentage growth rate would the population show in the absence of constraints? (round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
Given: CA bisects angle BAD and AD congruent to AB
Prove: Triangle ABC is congruent to Triangle ADC
The theorem or principle that helps to solve the above is the properties of a parallelogram. On the basis of the same, we can state that the proof that Triangle ABC is congruent to Triangle ADC is the property that indicates that each diagonal of a parallelogram separates it into two congruent triangles. Hence, ΔABC ≅ Δ ADC.
What are the qualities of a parallelogram?There are six crucial parallelogram qualities to understand:
Contrary sides are equivalent (AB = DC).Angels opposite each other are congruent (D = B).Consecutive angles are additive (A + D = 180°).If one angle is correct, all angles are correct.A parallelogram's diagonals cross one other.A parallelogram is divided into two congruent triangles by its diagonals.Learn more about parallelograms:
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please help me solve this: solve for x
Answer:
x = 100
Step-by-step explanation:
You have to use the equation 15x + 10 = 6x - 6 + 70. This equation finds out that x = 6. Then, you would multiply 6 by 15. This gets 90. Finally, add 10 to that.
Use f(x) = -4x + 1, g(x) = x2 - 8x + 21, and h(x) = 19 - 3x|
If h(x) = 39, find x.
By using the functions we have found the value of x and it is found out to be as x = -20/3.
What is a function?
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Given data:
f(x) = -4x + 1, g(x) = x2 - 8x + 21, and h(x) = 19 - 3x and h(x) = 39.
By using the h(x) function, we can write
h(x) = 19 - 3x
39 = 19 - 3x
3x = 19 - 39
3x = -20
x = -20/3
Hence, by using the functions we have found the value of x and it is found out to be as x = -20/3.
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Identify the common difference: d=
Identify the zero term(starting amount) a=
The formula to find the common difference of an arithmetic sequence is: d = a(n) - a(n - 1), where a(n) is a term in the sequence, and a(n - 1) is its previous term in the sequence
What is arithmetic sequence?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. For instance, the number sequence 5, 7, 9, 11, 13, and 15 has a common difference of 2 in arithmetic.
Sequences can in fact begin at any number that we choose. A sequence with the general word an is commonly notated as ann=1 a n n = 1.
or d = (an + 1 - an) (an – an-1). AP reduces if the common difference is negative. For instance, the AP drops in these numbers: -4, -6, -8.
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Find the measure of ∠c given the information below.
A = 155
E= 69
The image is below giving brainliest for whoever answers correctly + explaining !
Answer:
c=65
Step-by-step explanation:
a=115
180-115=b
b=65
b=c
c=65
I am so confused, can anyone help?
Answer: -9/50
Step-by-step explanation: It's asking you to give the answer of A (5/12) - B (3/5), how you do it is simple, you subtract 5/12 and 3/5 like so: 5/12 3/5 = -0.18 and -0.18 as a fraction is -9/50
So there is your answer :)
Peter and John are running around the town around the town in opposite directions. Peter can go around the town in 2.5 hours, and John can do the same in 15 hours. Assuming they start at the same time and same place, how many times will they pass each other going in opposite directions in a 24-hour period?
Answer:
90
I am not too sure but this question is VERY BRAIN-INTENSIVE
Sorry, if i am wrong
Without multiplying, order the following products from least to greatest.
1 1/6 x 310 8/8x310 4/7x310
One of the factors is present in all of the items mentioned. The order of the value of the other factor will match the order of the value of the product.
A multiplication comparison: What does that mean?When two amounts are compared, a multiplicative comparison determines which can be created when the other is multiplied by a specific number. Like Sam, who has twice as many balloons than Sid. Three balloons are in Sid's possession.Every single one of the previously named things contains one of the elements. Both the order of the other factor's value and the order of the product's value will be the same. A fraction that is equal to 1 multiplied by a number produces a number as the result. A positive whole number can be multiplied by a fraction greater than one, and the resulting number will always be larger than the initial whole number.To learn more about Multiplicative comparison refer to:
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The graph below shows the number of hours Dario
worked and the amount he earned.
Earnings (in dollars)
100
90
80
70
60
50
40
30
DARIO'S EARNINGS
(2, 24)
(5, 60)
(8, 96)
0 1 2 3 4 5 6 7 8 9 10
Time (in hours)
What was Dario's hourly wage?
A $10
B $12
$24
D $54
Answer: answer is b 12$.
Step-by-step explanation:
Aeris reads the temperature of a liquid in a lab experiment. The temperature of the liquid is 7.2ºF. After 5 hours, she reads the temperature of the liquid again. The temperature of the liquid is now −1.6°F.
Aeris plots the points on a number line to determine the temperature change between these two readings.
How much did the temperature decrease?
Enter your answer as a decimal in the box.
[ ]
Answer: 8.8 (-8.8'F)
Step-by-step explanation:
What we know:
Temperature started as 7.2
Temperature ended as -1.6
We need to find the difference
How to solve:
By doing simple subtraction, we can solve this.
Process:
Write equation 7.2 - (-1.6) = ?
Simplify 7.2 + 1.6 = ?
Solve = 8.8
Solution: {8.8 (-8.8'F)}
The temperature decreased by 8.8'F, but it increased/changed by -8.8'F.
insert a monomial into each trinomial such that the results is a perfect square. 16y^2+ ...+81
The resulting perfect square using the given trinomial is found as (4y + 9)².
Explain the term perfect square?If a number's square root is indeed an integer—that is, if it is the product of an integer and itself—it is a perfect square and perhaps a square number.We need to ensure that our producing trinomials have the following form since we want to add an one term (monomial) here to given binomial (16y^2+__+81) so that the producing trinomial may be represented as the square of some other binomial:a²-2ab+b² or a²+2ab+b²
since:
a²-2ab+b² = (a-b)²
and
a²+2ab+b² = (a+b)²
A trinomial is written as the square of the a binomial in the equations above.
Knowing that the aforementioned equations are correct, we may use the binomial that has been provided and proceed backwards from there:
= (4y)² +__+ (9)² ....eq 1
a = 4y and b = 9.
Thus, 2ab = 2(4y)(9) = 72y
Put in eq 1;
= (4y)² + 72y + (9)²
The resulting perfect square:
= (4y + 9)²
Thus, resulting perfect square using the given trinomial is found as (4y + 9)².
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