The word in the problem that indicates that a negative sign should be used is "descend"
How many meters did he descend?We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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A. Yes, the points shown on the line would be part of y=0.5x
B. Yes, all proportions can be shown on a graph of this line
C. No, the points shown would not be part of y=0.5x
D. No, the proportions cannot be represented on a graph
Answer:
B
Step-by-step explanation:
given the graph of y = 0.5x
Then any point on the line satisfies y = 0.5x
consider the points given
x = 1 then y = 0.5 × 1 = 0.5 ⇒ (1, 0.5 ) is on the line
x = 4 then y = 0.5 × 4 = 2 ⇒ (4, 2 ) is on the line
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length. Find the dimensions of the pen.
The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.
L = W + 15
Then we have
2700 = W(W + 15)
W² + 15W - 2700 = 0
W² + 60W - 45W - 2700 = 0
(W + 60)(W - 45) = 0
W = 45, -60
Then the dimension of the rectangle will be
W = 45 feet
L = W + 15
L = 45 + 15
L = 60 feet
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the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium
a. hydrogen
b. oxygen
c. sodium
d. carbon
e. helium
Answer:
The reference atomic mass is carbon-12 when calculating atomic masses.
Step-by-step explanation:
The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.
Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.
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Sarah’s company sells bracelets and rings. Her first customer buys 3 bracelets and 10 rings, spending a total of $48. Her second customer buys 7 bracelets and 4 rings, spending a total of $54. How much does Sarah charge for one bracelet?
Please select the best answer from the choices provided
A. $3.00
B. $6.00
C. $12.00
D. not enough information
Sarah charges $6.00 for one bracelet.
We know that a collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.
Let Sarah charges $x and $y for one bracelet and one ring respectively.
Since her first customer spends $48 on 3 bracelets and 10 rings, we can write it as
3x + 10y = 48 ...(1)
Since her second customer spends $54 on 7 bracelets and 4 rings, we can write it as
7x + 4y = 54 ...(2)
Now, we have to solve this system of linear equations.
Multiplying (1) by 2, 6x + 20y = 96 ...(3)
Multiplying (2) by 5, 35x + 20y = 270 ...(4)
Subtracting (3) from (4), 35x + 20y - 6x - 20y = 270 - 96
i.e. 29x = 174
i.e. x = 174/29 = 6
Therefore we can conclude that Sarah charges $6 for one bracelet. Option B is correct.
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Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAP
The ordered pair of the given equation will be ( 3, 6 ) and ( -3, 18).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The given functions are:-
F(x) =x²-2x+3
F(x) = -2x + 12
When we plot the graph of the function we will see that the line -2x +12 cut the parabola at points ( -3, 18 ) and ( 3, 6 ) so these are the ordered pairs of the two functions. The graph of the functions is also attached with the answer.
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True or False? A circle could be circumscribed about the
quadrilateral below.
• A. True
• B. False
Answer:
False
Step-by-step explanation:
m∆A+m∆C=180°
110°+110°=180°
220°(/=) 180°
A circle can be circumscribed about the given quadrilateral, the answer is true.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To circumscribe a circle about a quadrilateral means to place the quadrilateral inside the circle, such that the four vertices of the quadrilateral touches the the circumference of the circle.
Opposite angles of a circumscribed polygon are supplementary.
Therefore, a circle can be circumscribed about the given quadrilateral is true
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Use the zero product property to find the solutions to the equation (x 2) (x 3) = 12.
The solution of the given equation is -6 and 1.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Here, given equation:
(x+2)(x+3) = 12
x(x+3)+2(x+3) = 12
x² + 3x + 2x + 6 = 12
x² + 5x + 6 - 12 = 0
x² + 5x - 6 = 0
x² + 6x - x - 6 = 0
x(x+6) -1(x+6) = 0
(x+6)(x-1) = 0
Now, x + 6 = 0 or x - 1 = 0
x = -6 or x = 1
Thus, the solution of the given equation is -6 and 1.
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For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
The temperature that accurately describes the time that would have spent cooling is 300.
How to solve for the cooling time.We have the function as f(t) = 349.2(0.98)t
We have to solve for all of the values in the option
When t = 0
This would give us an infinite value for t hence it is not the answer.
When t = 100
we have 61.6
When t = 300
we have f(t) = 7.5
WHen t = 400
f(t) = -6.7
From the solved values the accurate one that has to talk about the time spent cooling is 300 at 7.5
Complete questionThe function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
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What steps are used to solve this equation?
x
2
= 7
Answer:
x=3.5
Step-by-step explanation:
x × 2 = 7
÷2 ÷2
x=3.5
vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,
m = (0-7)/(8-3) = -7/5
Substitute any one of the points in the equation,
y = -(7/5)x + c
7 = -(7/5)3 + c
7 = -21/5 + c
76/5 = c
Hence, the equation of the line is y=-(7/5)x + (56/5).
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Describe the translation from f ( x ) = I x I... to f ( x ) = I x - 1 I + 11.
Situation:
A 45 gram sample of a substance that's
used to preserve fruit and vegetables has
a k-value of 0.1109.
N-Noe-kt
No - initial mass (at time t - 0)
N = mass at time t
k - a positive constant that depends on
the substance itself and on the units
used to measure time
t-time, in days
Find the substance's half-life, in days.
Round your answer to the nearest tenth.
Enter the correct answer.
+00
DONE
A function assigns the values. The half life of the substance is 6.25 days.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function for the substance as [tex]N= N_o e^{-kt}[/tex], therefore, the half life of the substance can be written as,
[tex]N= N_o e^{-kt}\\\\\dfrac{N}{N_o}= e^{-kt}[/tex]
Since we need to find the half life, therefore, the ratio of the initial mass and the mass after half-life will be 1/2.
[tex]\dfrac12= e^{-kt}\\\\\ln (0.5) = -kt[/tex]
Given the value of k is 0.1109, therefore,
[tex]\ln (0.5) = -kt\\\\\ln (0.5) = -(0.1109)t\\\\t = 6.25[/tex]
Hence, the half life of the substance is 6.25 days.
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Quick please!!! Buford, the farm hand, is preparing feed for
the animals. He wants to mix the contents of a
bag containing 50% corn with one containing
90% corn to optain a 30-pound bag containing
80% corn. How many pounds of the 50% bag
should he use? (write your answer as a
decimal.)
Buford should use 7.5 pounds of the 50% corn bag.
How do we solve a system of linear equations from word problems?A system of linear equation is an equation containing two different equations with variables and the coefficient.
From the given information, let:
The weight of the bag containing 50% corn be = xThe weight of the bag containing 90% corn be = ySp, we can a system of a linear equation that says:
x + y = 30
0.5x + 0.9y = 0.8(30)
Using elimination method
x + y = 30
-
x - 1.8y = -48
0 - 0.8y = -18
y = 18/0.8
y = 22.5
From x + y = 30
x = 30 - 22.5
x = 7.5
Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.
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لیا
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 = (x+2)
Drawing Tools
Select
Point
Line
P
K
Click on a fool to begin drawing.
17
-10
-8
-6
-4
4
10-
8
06000
Undo
Resef
The graph is plotted and attached in the attachment. The given equation is a linear equation with the intercept 0.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.
Given equation;
y + 2 = (x+2)
Rearrange the equation;
y + 2 = x+ 2
y=x
The standard equation for the straight line is;
y = mx + c
Where c is the intercept and m is the slope
After comparing the given equation with the standard equation we get;
m = 1
c =0
Hence,the graph is plotted and attached in the attachment.
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Given that AUVW=AXYZ, what is the measure of ZY?
AV
70°
70°
OA. 180°
OB. 40°
O C. 90°
OD. 70°
The value ∠y is 40⁰. So the correct option is option B
What is Congruency of triangle?Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Here, given that; ΔUVW ≅ ΔXYZ
∠u = ∠x = 70⁰
∠v = ∠y = a⁰
∠w = ∠z = 70⁰
We know that,
Sum of angles of a triangle is 180⁰.
∠x + ∠y + ∠z = 180⁰
70⁰ + a⁰ + 70⁰ = 180⁰
a⁰ + 140⁰ = 180⁰
a⁰ = 180⁰ - 140⁰
a⁰ = 40⁰
Thus, the value ∠y is 40⁰.
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PLEASE HELP!!!! FIND X AND Y AND GIVE A STEP BY STEP EXPLANATION FOR BRAINLIEST!!! 50 POINTS!!!
(6x + 1)
79°
(2x + 10)
What is the value of x?
OX= 2.25
O x = 11.25
O x = 13
Ox=22
Answer:
x = 22
Step-by-step explanation:
2x+10+79 = 6x+1
89-1 = 6x-2x
88 = 4x
22 = x
The measure of the unknown value {x} in the given figure is 22.
What is angle?An angle is formed when two rays have the same end point. The common end point is called vertex.
Given is to find the measure of the unknown value {x}.
The external angle will be equal to the sum of two internal opposite angles. Mathematically, we can write -
6x + 1 = 2x + 10 + 79
6x - 2x = 88
4x = 88
x = 22
Therefore, the measure of the unknown value {x} in the given figure is 22.
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Given: AD BC and ZBCD=
ZADC
Prove: DE CE
A
D
B
Correct! Assemble the next
statement.
Intro
Angles Segments Triangles Statements Reasons
ZADC
ZDEA
ZECD
Statements
✓ 1. ZDEA and ZCEB are
vertical angles
ZBCD
ZEDC
ZCBE
ZCEB
Reasons
1. def. of vertical angles
ZDAE
In the given triangle, it should be noted that ADC is the same as BCD due to SAS congruence.
How to illustrate the information?From the information given,
AD = BC
BCD = ADC.
This depicts the concept of SAS. In this case, the two-sided will be equivalent.
Also, it should be noted that DAC and CBD are equal according to the vertical angle theorem.
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Answer:
see picture ....
Step-by-step explanation:
a toolbox has 10 screwdrivers and 6 wrenches. bella put 8 more wrenches in the toolbox. how many more wrenches are in the toolbox than screwdrivers
Answer:
4 more wrenches than screwdrivers
Step-by-step explanation:
6+8=14
14-10=4
therefore there are 4 more wrenches than screwdrivers.
:)
Answer:
14
Step-by-step explanation:
solution
Screwdrivers- 10
wrenches- 6
if bella adds 8 more wrenches.
= 6 + 8
=14
Now, there are 14 wrenches in the box
An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below.
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k.
O Multiply the equations to eliminate b.
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.
A day is chosen from a week.
1. What are the possible outcomes?
2. What is the chance of choosing Wednesday?
3. Find the probability of selecting weekends.
Answer:
1. the possible outcomes are any of the seven days of the week
2. 1/7 chance of choosing Wednesday
3. 2/7 chance of choosing Saturday or Sunday
[tex]\mathbb{PROBLEM:}[/tex]
[tex] \\ [/tex]
A day is chosen from a week.
1. What are the possible outcomes?
2. What is the chance of choosing Wednesday?
3. Find the probability of selecting weekends.
[tex] \\ [/tex]
=======================================
[tex]\mathbb{SOLUTION:}[/tex]
[tex] \\ [/tex]
1. What are the possible outcomes?
a day is chosen from a week, possible outcomes are Monday, Tuesday, Wednesday, Thursday, Friday,, Saturday or Sunday2. What is the chance of choosing Wednesday?
because there is only one day in a week on Wednesday, the choice of choosing Wednesday is 1/7[tex]\tt\underline\red{ \: \: \frac{1}{7} \: \: }[/tex]
3. Find the probability of selecting weekends.
because there one two days in a week on selecting weekends, the probability of selecting weekends is 2/7[tex]\tt\underline\red{ \: \: \frac{2}{7} \: \: } [/tex]
=======================================
♥️
1 Select the correct answer from the drop-down menu. sinr O tant = cost. Therefore, tan(90-A) = COST. 1/tan(90-A) 1/sin A 1/cos(90 - A) 1/tan A . (All angle measurements are in degrees.) Reset Next 1 Select the correct answer from the drop - down menu . sinr O tant = cost . Therefore , tan ( 90 - A ) = COST . 1 / tan ( 90 - A ) 1 / sin A 1 / cos ( 90 - A ) 1 / tan A . ( All angle measurements are in degrees . )
[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]
What is the greatest common factor (GCF) of 15 and 6x?
The factors of 15 are
.
The factors of 6x are
.
The GCF of 15 and 6x is
.
Answer:
3
Step-by-step explanation:
Factors of 15 are 1, 3, 5, 15
Factors or 6 are 1, 2, 3, 6
HCF = 3
Marcela was assigned some math problems for
homework. She answered half of them in study hall.
After school she completed seven more. If she still
has 11 problems to do, how many problems were
assigned?
Answer:
36 problems
Step-by-step explanation:
so let's say x = how many problems Marcela was assigned
she completed half of them so the amount of problems left is x/2
She then completed 7 more so now we can subtract 7. We then set this to 11 to solve for x
x/2 - 7 = 11
x/2 = 18
x = 36
Is 200 a term in the sequence 4, 10, 16, 22,
Answer:
Step-by-step explanation:
Select the correct answer.
What is the solution for x in the equation?
9-10x=2x+1-8x
OA.
O B.
O C.
O D.
x = 2
x = -2
X =
x
= -1
||
12
112
[tex]9-10x=2x+1-8x\\\\9-10x=-6x+1\\\\9=4x+1\\\\8=4x\\ \\ x=\boxed{2}[/tex]
The value of the x in the equation 9 - 10x = 2x + 1 - 8x is 2. The correct answer is A) x = 2.
An equation is a combination of numbers, variables, functions, and often symbols arranged in a peculiar order. The equation comprises two or more expressions distinguished by the equality sign(=). The equations are solved to estimate the values of variables.
The given equation is
9 - 10x = 2x + 1 - 8x
-10x - 2x + 8x = 1 - 9
-4x = -8
4x = 8
x = [tex]\frac{8}{4}[/tex]
x = 2.
Thus, the correct option is A) x = 2.
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The simple interest on $2000 at 2% per annum for 3 months is
Step-by-step explanation:
s.i= P×T×R/100
=2000×0.25×2/100
= 1000/100
= 10
Answer:
$10
Step-by-step explanation:
[tex]2000 \times .02 \times \frac{1}{4} = 10[/tex]
What is the equation of the directrix of the parabola given by the equation y2 = -24x?
The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
What is Directrix of a Parabola ?A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
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I am having some problem can anyone please help me out to do this math.
(x + 3)(x + 4)
Answer:
x^2 + 7x + 12
Step-by-step explanation:
This is a product of two binomials. There's a formula:
(a + b)(c + d) = ac + ad + bc + bd.
Therefore, (x + 3)(x + 4) = x^2 + 3x + 4x + 12 = x^2 + 7x + 12
Could someone help me with my math lab
All the parts shown in the figure are solved.
What is Combination ?A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.
Part 1
(a) When two dices are rolled the basic outcomes will be =?
Each dice has 6 outcomes and therefore 6* 6 =36
Therefore total 36 basic outcomes.
(b) Yes both the events are equally likely .
Part 2
(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled
Sum
2 1+1
3 1+2, 2+1
4 1+3, 2+2, 3+1
5 1+4, 2+3, 3+2, 4+1
6 1+5, 2+4, 3+3, 4+2, 5+1
7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1
8 2+6, 3+5, 4+4, 5+3, 6+2
9 3+6, 4+5, 5+4, 6+3
10 4+6, 5+5, 6+4
11 5+6, 6+5
12 6+6
(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.
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