Answer:
Step-by-step explanation:
[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]
Joseph is eating his favorite kind of cookie.The cookie is part of 9/10 cm thick. The frosting is 33/100 cm thick.What expression can be used to find the total thickness of the cookie and the frosting
Answer:
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
Step-by-step explanation:
The cookie is formed by two layers, the cookie and the frosting. So if we want to know the total thickness of the cookie and frosting we need to sum the thickness of each layer as shown below:
[tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}\\\text{total thickness} = \frac{9}{10} + \frac{33}{100}\\\\\text{total thickness} = \frac{10*9 + 33}{100}\\\\\text{total thickness} = \frac{123}{100} \text{ cm}[/tex]
The expression is: [tex]\text{total thickness} = \text{cookie thickness} + \text{frosting thickness}[/tex]
The thickness of the cookie is: [tex]\frac{123}{100}[/tex] cm
Which of the following equations is equivalent to S = pi r squared h?
Q: Which of the following equations is equivalent to S = pi r squared h?
A: B (CC ALGEBRA 2A, ED20)
The equations is equivalent to S = pi r squared h would be; B. h=S/πr²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
To know the equation equivalent to πr²h, we will make h the subject of the formula from the one given in equation.
S = πr²h
To get h, we needd to divide both sides by the coefficient of h (i.e πr²)
S/πr² = πr²h/πr²
S/πr² = h
h = S/πr²
This equation shows that h = S/πr² is equivalent to S = πr²h
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A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.
Answer:
6.13 days
Step-by-step explanation:
Hello,
This question directly relates to radioactivity of a substance.
Data,
k = 0.113
Initial mass (No) = 38g
Half life of the substance (T½) = ?
To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.
T½ = ln2 / k
Note : ln2 is a constant derived while k is the decay constant of the substance
T½ = 0.693 / 0.113
T½ = 6.13 days
The half life of the substance is 6.13 days
when costprice and selling price is given how to calculate weather it is loss or profit?
Answer:
Selling price - cost price = profit, when Selling Price is more than Cost Price
Cost price - selling price = loss, when cost Price is more than sellIng Price
Which of the following shows the graph of y=-(2)^x-1
Answer:
option c
Step-by-step explanation:
Help please with this question
Answer:
The third graph down
Step-by-step explanation:
-2.1 w > 12.81
Divide each side by -2.1, remembering to flip the inequality
-2.1w / -2.1 < 12.81/ -2.1
w < -6.1
There is an open circle at -6.1 and the line goes to the left
Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info
Step-by-step explanation:
I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1
Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.
Now for the little circle on the -6.1:
A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly
The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present ages..............................Pls i need help
Answer:
20 and 28
Step-by-step explanation:
Let x represent the current age of Hari and y represent the current age of Harry
Since the current ratio is 5:7:
5/7 = x/y
→ 5y = 7x (1)
Hari's age will be x+4 and Harry's age will be y+4 four years later. Since the ration of their ages will be 3:4 four years later:
3/4 = (x+4)/(y+4) (2)
→ 3(y+4) = 4(x+4)
→ 3y + 12 = 4x + 16
→ 3y = 4x + 4 (Substitute the y as 7x/5 from the equation 1)
→ 3(7x/5) = 4x + 4
→ 21x = 20x + 20
→ x = 20
y = 7x/5 = 7(20)/5 = 28
Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5
Which of the following is a function?
Click on the graph until the correct graph appears.
Answer:
The correct graph should have x values that have no more than one y value.
Step-by-step explanation:
A the inputs (x values) of a function can have no more than one y value. This is a "fact" for functions. So you should click on the graph until you see a graph where every x value has exactly 0 or 1 y value.
Will give brainliest :) What is the domain of the graphed function?
Answer:
D: { x≥0}
Step-by-step explanation:
The domain is the input values to the function
The domain is the x values
D: { x≥0}
Answer:
Brainliest! as you promised!
Step-by-step explanation:
x>= 0
every number above 0 is a answer becuase the domain is the x-axis and the line starts at 0 and keep on going to the right
Scratchpad
The value of b when solving the equation 2 (b+12)=16
Answer:
b = -4
Step-by-step explanation:
Divide by 2:
b + 12 = 8
b = -4
Answer:
B = -4
Step-by-step explanation:
Take,
-4 + 12 = 8
Then,
8 x 2 = 16.
Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. i neeed help plz
Answer:
Multiply 8 and 3
Step-by-step explanation:
6+ (-5-7/2) -8(3)
Using the order of operations
BODMAS
•BRACKET
•OFF
•DIVISION
•MULTIPLICATION
•ADDITION
•SUBTRACTION
The first step is to deal with the bracket
Which is
6+(-5-7/2)-24
Next is solve the next parenthesis
6+(-12/2)-24
Next
6+(-6)-24
Next
6-6-24
= -24
Answer:
A is correct answer
Step-by-step explanation:
4. Bailey just ran four miles outside. Her time for each mile was 9.05/2,24/10/922. How long did it take for her to run all four miles?
Answer: 30 minutes, 51 seconds
Step-by-step explanation:
Given the time to run each miles to be
9.05/2,24/10/922. That is
9.05, 2.24, 10, 9.22
Time taken for her to run the entire four miles will be
9.05 + 2.24 + 10.0 + 9.22 = 30 :51
30 minutes, 51 seconds
What is the measure of AC?
Answer:
C. 116
Step-by-step explanation:
AC= 58*2= 116
Answer:
C
Step-by-step explanation:
The measure of the inscribed angle ABC is half the measure of its interceptrd arc AC, thus
arc AC = 2 × 58° = 116° → C
Please help me with my question!!
Answer:
B,C
Step-by-step explanation:
The sum of B is 1
The sum of C is -1/2
Let's try each option.
Option A:
-3 + 5 + (-1) = 2 + (-1) = 1
FALSE
Option B:
5 + (-8) + 4 = -3 + 4 = 1
TRUE
Option C:
-19/2 + 9 = -9.5 + 9 = -0.5
TRUE
Option D:
-17 + 36/2 = -17 + 18 = -1
FALSE
So, the correct answers are B and C
Best of Luck!
What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?
Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
Answer:
16kgStep-by-step explanation:
This problem is borers on elasticity of materials.
according to Hooke's law, "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."
[tex]F= ke[/tex]
where F is the applied force in N
k is the spring constant N/m
e is the extension in meters
Given data
mass m= 24kg
extensnion=15cm in meters= [tex]\frac{15}{100}[/tex]= [tex]0.15m[/tex]
we can solve for the spring constant k
we also know that the force F = mg
assuming [tex]g=9.81m/s^{2}[/tex]
therefore
[tex]24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\[/tex]
We can use this value of k to solve for the mass that will cause an extension of [tex]10cm= 0.1m[/tex]
[tex]x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg[/tex]
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
Plzzzzz i need help fast
Factor the expression below x^2+12+36 A) (x-6)(x-6) B) (x+6)(x+6) C) (x-9)(x-4) D) (x+9)(x+4)
Answer:
Answer B
Step-by-step explanation:
when you simplify it u get x^2+12+36
What is the length of the side labeled x?
Answer:
AB = 42.15 units
Step-by-step explanation:
In triangle ABD,
By applying Cosine rule in this triangle,
cos(30)°= [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}[/tex] = [tex]\frac{AD}{AB}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{AD}{47}[/tex]
AD = [tex]\frac{47\sqrt{3}}{2}[/tex]
By applying tangent rule in ΔACD,
tan(44)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(44)° = [tex]\frac{AD}{x}[/tex]
0.9657 = [tex]\frac{\frac{47\sqrt{3}}{2}}{x}[/tex]
0.9657 = [tex]\frac{47\sqrt{3}}{2x}[/tex]
x = [tex]\frac{47\sqrt{3}}{2(0.9657)}[/tex]
x = 42.15
≈ 42.2 units
Which of the following describes how to translate the graph y = lxl  to obtain the graph of y = lxl -4
Answer: 4 units down.
Step-by-step explanation:
When we have the graph y = f(x)
We can do verticals translations as:
y = f(x) + a.
if a is a positive number, the new graph for y is moved a units upside.
if we want to do a translation down, we should do:
y = f(x) - a.
Now, our f(x) = IxI, and our translation is:
y = IxI - 4
You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere? StartFraction 32 Over 3 EndFractionπ cm3 8π cm3 StartFraction 64 Over 3 EndFractionπ cm3 16π cm3
Answer:
The volume of the sphere is 32 π /3 cm^3
Step-by-step explanation:
Mathematically, the volume of a sphere can be calculated using the formula below;
V = 4/3 * pi * r^3
Now since we have the radius and diameter = 2 * radius
radius = diameter/2 = 4/2 = 2
Substituting this value into the volume equation;
V = 4/3 * pi * 2^3 = 32pi/3
Answer:
The correct answer is A
Step-by-step explanation:
Given the coordinates of (5,2) and (-1,2), the distance is:
A) 6
B)None of the choices are
correct.
C) 16
D) 50
Answer:
A) 6
Step-by-step explanation:
[tex]\sqrt{(5 - (-1))^{2} + (2-2)^{2} } = \sqrt{36} = 6[/tex]
Help me with this question please and thank you
Answer:
B, C, E
Step-by-step explanation:
The solution of the inequality is x ≤ -7
The graph would have a closed circle because it's less than or equal to
-7 is a part of the solution because it's less than or equal to -7
Answer:
Step-by-step explanation:
Subtract 22 from both sides to get [tex]x\leq -7[/tex]. So the 2nd one is correct
The sign is less than or equal to, so the graph does indeed have a closed circle. So the 3rd one is also correct
The answer is x is less than or EQUAL to -7, so -7 is included in the asnwer. So the 5th one is also correct
TheSolution to the equation is ??
Answer:
X = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
2x^2 + x - 3 = 0
2x^2 + 3x -2x - 3 = 0
x(2x+3) -1 ( 2x+3) = 0
(x-1) (2x+3) = 0
x-1=0
x=1
2x+3=0
2x=-3
x=-3/2.
£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Mark get?
Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
What’s the answer ??
Answer:
-5^x-3x-6
Step-by-step explanation:
(-5^x - 4 + g(x) ) (x)
(-5^x - 4 - 3x -2) simplified -5^x-3x-6
Answer:
-5^x -3x -6 = A[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]
[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]
[tex] - {5}^{x} - 3x - 6[/tex]
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
g(-8) = -62
Step-by-step explanation:
solve for x:
8x +2 = -62 subtract 2 from each side
8x =-64 divide by 8
x =-8
I’ll mark you brainliest!!!! Use the function to find f(-4).
Answer:1/16
Step-by-step explanation:
So I plugged in -4 for x
f(x)=2^-4= 1/16
hope that helps
