The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.
According to the statement
we have given that the 3 integers are in an arithmetic progression and their product is prime.
And we have to find the sum of their squares.
So, let the three integers which is A, B, C.
And according to the arithmetic progression the
A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.
So, there product is prime
then
(x) (x-d) (x-2d) = c -(1)
And
their sum of square is
(x)^2 + (x-d)^2 + (x-2d)^2 - (2)
So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.
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An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments?
Answer:
There are 7 two bed bedroom apartments.
Step-by-step explanation:
Solution Given:
let the one bedroom apartment be x and two bedroom apartment be y.
By the question we can make an equation as
x+y=12
or y=12-x............................[1]
Again:
$360x+$450y=$4,950
Now substituting value of y, we get
$360x+$450(12-x)=$4,950
Opening Bracket
$360x+$5400-$450x=$,4,950
solving equation
-90x=-450
dividing both side by -90,we get
x=5
again,
substituting value of x in equation 1,we get
y=12-5=7 two bed bedroom apartments.
Let, x represents the number of one bedrooms and 12 - x represents the number of two bedrooms.
According to the question,
[tex]360x + 450(12 - x) = 4950[/tex]
[tex]360x + 5400 - 450x = 4950[/tex]
[tex]5400 - 4950 = 450x - 360x[/tex]
[tex]450 = 90x[/tex]
[tex] \frac{450}{90} = x[/tex]
[tex]5 = x[/tex]
Therefore, one bedrooms = x = 5
For number of two bedrooms which is equal to 12 - x
= 12 - 5
= 7
So your required answer is 7
How to Simplify using suitable property: (-3/7) * 6/5 + (3/2) - (6/5) * 1/14
I will mark the first answerer as brainliest
The value of the given expression is 9/10. The properties of real numbers, such as commutative and distributive are used for solving this expression.
What are the required properties for solving an expression?The properties are:
Associative property: (a + b) + c = a + (b + c) Commutative property: a + b = b + c or a × b = b × aDistributive property: a × (b + c) = a × b + b × cCalculation:The given expression is
(-3/7) × 6/5 + (3/2) - (6/5) × 1/14
applying commutative law (a + b = b + c)
⇒ (-3/7) × 6/5 - (6/5) × 1/14 + (3/2)
again applying commutative law (a × b = b × a)
⇒ (-3/7) × 6/5 - 1/14 × (6/5)+ (3/2)
applying distributive law (a × (b + c) = a × b + b × c) in reverse order
⇒ (-3/7 - 1/14) × (6/5)+ (3/2)
⇒ (-7/14) × (6/5)+ (3/2)
⇒ (-1/2) × (6/5)+ (3/2)
⇒ (-6/10) + (3/2)
⇒ (-6 + 15)/10
⇒ 9/10
Thus, the required value is 9/10 and the suitable properties are commutative and distributive.
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A serving of fish contains 50 g of protein and 4. 0 g of fat. How many kcal are in the serving report your answer to 2 significant figures
2 x 10² kcal are in the serving report your answer to 2 significant figures.
According to the question
A serving of fish contains 50 g of protein and 4. 0 g of fat.
i.e. content of protein = 50 g
Content of fat = 4 g
kcal are in the serving report your answer to 2 significant figures:
As the serving of fish contains 50g of protein that is 4.0kcal/g
Calories in 50 g protein = (Content of protein) × (caloric value in protein)
50g × (4.0kcal/g) = 200kcal
That means the kcal of the serving is 200kcal
In 2 significant figures: 2 x 10² kcal
Hence,
2 x 10² kcal are in the serving report your answer to 2 significant figures.
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A fourth-degree polynomial with a leading coefficient of 1 has gone through several transformations, including a vertical compression by a scale factor of 1/3 and a reflection across the x-axis. Two of the zero polynomials are -i and 3i.
Find a y-intercept of this polynomial, if it exists
The y-intercept of the resulting polynomial is equal to - 3.
How to derive a fourth-degree polynomial generated by rigid transformations
Herein we assume that the other two zeros of the polynomial are i and - i 3, otherwise the polynomial will have at least a complex number as coefficient of the expression. This is because we need to find values from a Cartesian plan, whose ordered pairs are real numbers.
Initially, we have the following expression by algebra properties:
f(x) = (x + i) · (x - i) · (x + i 3) · (x - i 3)
f(x) = (x² + 1) · (x² + 9)
f(x) = x⁴ + 10 · x² + 9
Then, we proceed to use the two rigid transformations described in the statement. Please notice that rigid transformations are transformations applied on polynomials such that Euclidean distance is conserved:
Vertical compression
f'(x) = (1 / 3) · f(x)
f'(x) = (1 / 3) · (x⁴ + 10 · x² + 9)
f'(x) = (1 / 3) · x⁴ + (10 / 3) · x² + 3
Reflection across the x-axis
g(x) = - f'(x)
g(x) = - (1 / 3) · x⁴ - (10 / 3) · x² - 3
The y-intercept is found for x = 0:
g(0) = - (1 / 3) · 0⁴ - (10 / 3) · 0² - 3
g(0) = - 3
The y-intercept of the resulting polynomial is equal to - 3.
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If two 12-sided dice are rolled what is the probability that both numbers will be even?
Answer:
probability result of sample space would result in 12/144
Step-by-step explanation:
as result there is 12 numbers on each dice, blth have exact same numbers, resulting in 144 combinations ti be thrown as sample space event outcome wluld be;
1/1 1/2 1/3 1/4 1/5 1/6 1/7 1/8 1/9 1/10 1/11 1/12
2/1 2/2 2/3 2/4 2/5 2/6 2/7 2/8 2/9 2/10 2/11 2/12
3/1 3/2 3/3 3/4 3/5 3/6 3/7 3/8 3/9 3/10 3/11 3/12
4/1 4/2 4/3 4/4 4/5 4/6 4/7 4/8 3/9 4/10 4/11 4/12
5/1 5/2 5/3 5/4 5/5 5/6 5/7 5/8 5/9 5/10 5/11 5/12
6/1 6/2 6/3 6/4 6/5 6/6 6/7 6/8 6/9 6/10 6/11 6/12
7/1 7/2 7/3 7/4 7/5 7/6 7/7 7/8 7/9 7/10 7/11 7/12
8/1 8/2 8/3 8/4 8/5 8/6 8/7 8/8 8/9 8/10 8/11 8/12
9/1 9/2 9/3 9/4 9/5 9/6 9/7 9/8 9/9 9/10 9/11 9/12
10/1 10/2 10/3 10/4 10/5 10/6 10/7 10/8 10/9 10/10 10/11 10/12
11/1 11/2 11/3 11/4 11/5 11/6 11/7 11/8 11/9 11/10 11/11 11/12
12/1 12/2 12/3 12/4 12/5 12/6 12/7 12/8 12/9 12/10 12/11 12/12
giving 12 matching numbers in a 144 possible rolled outcome
mathematic formula would be P(A) = n(A)/n(S)
As P(A)= probabolity of event A
n(A)= number of favouravle outcome
n(S)= total number of outcome in sample space
giving
12=2/144=0,0138888889
A ladder is leaning against a building and makes a 28 degree angle with the ground. the top of the ladder reaches up the building. what is the length of the latter
The length of the ladder is 75ft.
What is hypotenuse?The longest side, or hypotenuse, of a right-angled triangle is the side that faces away from the right angle. The Pythagorean theorem asserts that the hypotenuse's square length equals the sum of the squares of the lengths of the other two sides, and this can be used to determine the hypotenuse's length.
According to the information:The ladder makes an angle of 28° with the ground and the top of the ladder reaches 35ft
Therefore, we have:
Sineα = opposite/hypotenuse
Where:
Opposite = 35
Hypotenuse = Length
α = 28°
substitute values and solve for the length, as following:
Sine(28) = 35/Length
Length = 35/Sine(28)
Length = 75ft
Therefore,
The length of the ladder is 75 ft.
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What percent of zachary's pay do his deductions comprise? round your answer to the nearest whole percent.
The percentage of Zachary's pay due to his deductions comprise exists 18.724%.
How to estimate the deduction percentage for Zachary?Zachary exists supposed to earn a paycheck of $20,160.00 but instead, he acquires a lesser amount of money due to deductions. The money he acquires after deductions exists at $16,385.31.
Money deducted = Original paycheck amount - deductions
= $20,160.00 - $16,385.31
= $3,774.69.
So Zachary obtains a deduction of $3,774.69.
To estimate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by 100 to transform it into a percentage.
Deduction % = ($3,774.69 / $20,160.00) [tex]*[/tex] 100
= 0.1872366 [tex]*[/tex] 100
= 18.72366%
We obtain the deduction percentage as 18.724%.
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The smallest bone on the body, the stirrup-shaped stapes found in the middle ear, has a typical length of less than 0.33 cm. how long in inches is the typical maximum length of the stapes?
Answer:
0.13 inches.
Step-by-step explanation:
1 inch = 2.54 cm
So 1 cm = 1/ 2.54 in
0.33 cm = 0.33/2.54 in
= 0.13 inches.
In the power function f(x) = -2x, what is the end behavior of f(x) =3^-x 2 as x goes to [infinity]?
The end behavior of the power function is as x tends to infinity, f(x) tends to zero.
In this question,
The power function is [tex]f(x)=3^{-x}2[/tex]
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
The graph below shows the behavior of the function f(x).
The above equation has the degree of 1, which is odd and the leading coefficient has the positive coefficient.
Then the end behavior is
As x -> ∞,
⇒ [tex]\lim_{x \to \infty} f(x)[/tex]
⇒ [tex]\lim_{x \to \infty} 3^{-x}2[/tex]
⇒ [tex]2\lim_{x \to \infty} 3^{-x}[/tex]
⇒ [tex]2\lim_{x \to \infty} 3^{-\infty}[/tex]
⇒ 2(0)
⇒ 0
Thus as x → ∞, f(x) → 0.
Hence we can conclude that the end behavior of the power function is as x tends to infinity, f(x) tends to zero.
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a.) 6(x+2) = 5(x-y)
b.) 5(a-2x) = 9(x+1)
make x the subject
a) 6x + 12 = 5x - 5y
6x-5x = -5y-12
x = -5y-12
b) 5a-10x = 9x+9
-10x-9x = 9-5a
-19x = 9-5a
x = 9-5a/-19
A 400 L tank is filled with pure water. A copper sulfate solution with a concentration of 20 g/L flows into the tank at a rate of 4 L/min. The thoroughly mixed solution is drained from the tank at a rate of 4 L/min. a. Write a differential equation (initial value problem) for the mass of the copper sulfate. b. Solve the differential equation
(a) Let [tex]C(t)[/tex] denote the amount (in grams) of copper (II) sulfate (CuSO₄) in the tank at time [tex]t[/tex] minutes. The tank contains only pure water at the start, so we have initial value [tex]\boxed{C(0)=0}[/tex].
CuSO₄ flows into the tank at a rate
[tex]\left(20\dfrac{\rm g}{\rm L}\right) \left(4\dfrac{\rm L}{\rm min}\right) = 80 \dfrac{\rm g}{\rm min}[/tex]
and flows out at a rate
[tex]\left(\dfrac{C(t)\,\rm g}{400\,\mathrm L + \left(4\frac{\rm L}{\rm min} - 4\frac{\rm L}{\rm min}\right) t}\right) \left(4\dfrac{\rm L}{\rm min}\right) = \dfrac{C(t)}{100} \dfrac{\rm g}{\rm min}[/tex]
and hence the net rate of change in the amount of CuSO₄ in the tank is governed by the differential equation
[tex]\boxed{\dfrac{dC}{dt} = 80 - \dfrac C{100}}[/tex]
(b) This ODE is linear with constant coefficients and separable, so we have a few choices in how we can solve it. I'll use the typical integrating factor method for solving linear ODEs.
[tex]\dfrac{dC}{dt} + \dfrac C{100} = 80[/tex]
The integrating factor is
[tex]\mu = \exp\left(\displaystyle \int \frac{dt}{100}\right) = e^{t/100}[/tex]
Distributing [tex]\mu[/tex] on both sides gives
[tex]e^{t/100} \dfrac{dC}{dt} + \dfrac1{100} e^{t/100} C = 80 e^{t/100}[/tex]
and the left side is now the derivative of a product,
[tex]\dfrac d{dt} \left[e^{t/100} C\right] = 80 e^{t/100}[/tex]
Integrate both sides. By the fundamental theorem of calculus,
[tex]e^{t/100} C = e^{t/100}C\bigg|_{t=0} + \displaystyle \int_0^t 80 e^{u/100}\, du[/tex]
The first term on the right vanishes since [tex]C(0)=0[/tex]. Then
[tex]e^{t/100} C = 8000 \left(e^{t/100} - 1\right)[/tex]
[tex]\implies \boxed{C(t) = 8000 - 8000 e^{-t/100}}[/tex]
4m^2-5m when m= -4 solve
Answer:
84
Step-by-step explanation:
4 (-4)^2 - 5(-4)
4 × 16 - 5 × -4
64 + 20
84
Which number best represents the slope of the graphed line?
A graph is a line that extends from second quadrant to fourth quadrant through left parenthesis 0, 2 right parenthesis, and left parenthesis 0.5, 0 right parenthesis.
The number that best represents the slope of the graphed line that is given is: -4.
What is the Slope of a Line?The slope of a line is the ratio of the vertical distance to the horizontal distance across the line. It is calculated using the formula:
Slope (m) = rise/run = change in y / change in x = (y2 - y1)/(x2 - x1)
Given the two points on a coordinate plane as shown in the mage below, let:
(x1, y1) represent (0, 2)
(x2, y2) represent (0.5, 0)
Plug in the values
Slope (m) = change in y / change in x = (0 - 2) / (0.5 - 0)
Slope (m) = -2/0.5
Slope (m) = -4
Therefore, we can state that, the number that best represents the slope of the graphed line that is given is: -4.
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The actual answer is C.1/2
chust mee am a doktor
Near the equator, the earth rotates approximately 34 kilometers every 32 seconds. what is the speed of earth's rotation near the equator? show your reasoning and include the unit of measure.
Answer:
Step-by-step explanation: The earth rotates 34 km every 32 seconds. We can simplify this by dividing both sides by 32. Now, we have 34/32 km every 32 seconds. Now, to further simplify this, we need to convert 34/32 to a mixed number 34/32 = 1 2/32 which then can be simplified to 1 1/16. So, near the equator, the speed of Earth's rotation is 1 1/16 km per second.
does anyone know the answer to this?
Answer:
C
Step-by-step explanation:
for AB to be parallel to CD then the slopes of both segments must be equal
using the slope formula to find the slopes , then
A (x₁, y₁ ) and B (x₂, y₂ )
[tex]m_{AB}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
C (x₃, y₃ ) and D (x₄, y₄ )
[tex]m_{CD}[/tex] = [tex]\frac{y_{4}-y_{3} }{x_{4}-x_{3} }[/tex]
then
[tex]m_{CD}[/tex] = [tex]m_{AB}[/tex]
[tex]\frac{y_{4}-y_{3} }{x_{4}-x_{3} }[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] → C
Fiona wrote the linear equation y = 2/5x -5. When Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona’s. Which equation could be Henry’s?
Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.
Hence, option D is the correct answer.
This question is incomplete, the missing answer choices are;
A. x- 5/4y =25/4
B. x-5/2y=25/4
C. x-5/4y =25/4
D. x- 5/2y=25/2
Which equation could be Henry’s?Given the linear equation written by Fiona; y = 2/5x - 5.
From the answer choices provided, they are in the form of x - (m)y = b.
We will transform Fiona's equation into that form.
y = 2/5x - 5
Divide each term by the coefficient of x.
y(5/2) = (5/2)2/5x - (5/2)5
5/2y = x - 25/2
25/2 = x - 5/2y
x - 5/2y = 25/2
Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.
Hence, option D is the correct answer.
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Bond Valuation with Semiannual Payments
Renfro Rentals has issued bonds that have an 8% coupon rate, payable semiannually. The bonds mature in 12 years, have a face value of $1,000, and a yield to maturity of 7.5%. What is the price of the bonds? Round your answer to the nearest cent.
If Renfro Rentals has issued bonds that have an 8% coupon rate, payable semiannually. The price of the bonds is: $1,039.11.
Price of the bondsWe would be making use of financial calculator to find or determine the price of the bonds (Present value) by inputting the below data:
N represent Number of years = 12 x 2 = 24
I represent Interest rate= 7.5 % / 2 =3.75 %
PMT represent Periodic payment= (8% x 1000) / 2 = $40
FV represent Future value= $1,000
PV represent Present value=?
Hence;
PV (Present value) = $1,039.11
Therefore if Renfro Rentals has issued bonds that have an 8% coupon rate ,payable semiannually. The price of the bonds is: $1,039.11.
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two buildings are built 10m apart. *the angle of depression from the top of the shorter building (y) to the foot of the taller building (p) is 53. *the angle of elevation from the top of the shorter building to the top of the taller building (x) is 28. *calculate the height (xp) of the taller building. page 262 trigonometry topic 11 of text book
The height of the taller building is 18.6 meters
How to find the side of a right triangle?A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
Therefore, the height of the taller building is the sum of the height of the smaller building and upper part of the taller building.
tan 53 = opposite / adjacent
tan 53 = x / 10
cross multiply
x = 10 tan 53
x = 10 × 1.32704482162
x = 13.2704482162
x = 13.3 m
tan 28 = y / 10
y = 10 tan 28
y = 5.31709431661
y = 5.3
Therefore, the height of the taller building is 13.3 + 5.3 = 18.6 meters.
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Drag the factors to the correct locations on the image.
Each factor can be used more than once, but not all factors will be used. What is the factored form of this expression? x3 - 6x2 - 9x + 54
Tiles go here
( )( )( )
Tile options:
x - 6
x - 9
x + 9
x - 3
x + 3
x + 6
Answer: x-6, x+3, x-3
Step-by-step explanation;
Split the equation into two.
x2(x-6)-9(x-6)
(x-6) is seen as one of the tiles. Now work on x2-9
x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).
work out the value of x
Answer:
x = 36
Step-by-step explanation:
The two lines are parallel and intersected by a transversal line.
The co-interior angles formed will sum up to 180°
Here angles 3x and 2x are the co-interior angles
So 3x + 2x = 180
5x = 180
x = 180/5 = 36
Answer:
x = 18°Step-by-step explanation:
2x + 2x + 3x + 3x = 180°
10x = 180°
x = 180° : 10 =
x = 18°
-----------------------
check
2 × 18 + 2 × 18 + 3 × 18 + 3 × 18 = 180°
the answer is good
Find the surface area of the composite figure.
4 cm
13 cm
3 cm
4 cm
SA
=
12 cm
[?] cm²
5 cm
3 cm
The surface area of the composite figure is: 300 cm².
What is the Surface Area of a Triangular Prism?Surface area of a triangular prism = (P)L + bh, where we have the following:
P = perimeter of the base
L = length of the triangular prism
h = height of the triangular base
b = base of the triangular base
What is the Surface Area of a Rectangular Prism?Surface area = 2(wl + hl + hw), where:
h = height of prism
w = width of prism
l = length of prism.
The surface area of the composite figure = surface area of triangular prism + surface area of rectangular prism - 2(the area where both figures are joined at).
Surface area of the triangular prism = (5 + 12 + 13)4 + (5)(12)
Surface area of the triangular prism = 180 cm²
Surface area of rectangular prism = 2(wl + hl + hw) = 2·(4·12+3·12+3·4) = 192 cm²
The area where both figures are joined at = (l)(w) = (3)(12) = 36 cm².
The surface area of the composite figure = 180 + 192 - 2(36)
The surface area of the composite figure = 180 + 192 - 72
The surface area of the composite figure = 300 cm².
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PLEASE HELP IM BEGGINGGGGGGG ANSWERRRRRR
Answer:
Step-by-step explanation:
i'd say with the given info it will be the same
Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. How much more space (volume) is in the larger than the smaller? Round to the nearest tenth.
The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³
What is the Volume of a Sphere/Spherical Solid?To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.
Diameter of the smaller spherical ball = 5 inches
Radius of the smaller spherical ball = 5/2 = 2.5 inches
Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³
Volume of the smaller spherical ball ≈ 65.5 in.³
Diameter of the larger spherical ball = 13 inches
Radius of the larger spherical ball = 13/2 = 6.5 inches
Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³
Volume of the larger spherical ball ≈ 1,150.3 in.³
The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3 - 65.5
The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³
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what part of an hour passes between 11:24 am and 415 am
Using proportions, it is found that 1685% of an hour passes between 11:24 am and 415 am.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
One hour is composed by 60 minutes. Between 11:24 am and 4:15 am, there are 16 hours and 51 minutes, hence the number of minutes is given by:
M = 16 x 60 + 51 = 1011 minutes.
As a percentage of one hour = 60 minutes, we have that this measure is:
1011/60 x 100% = 1685%.
Hence 1685% of an hour passes between 11:24 am and 415 am.
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Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 k.
The given expression is equivalent to the expression (B) [tex](x-1)^{2} -3[/tex].
What is an equivalent function?Two functions are equivalent if they share the same domain and codomain and have the same values for all domain components.To complete the square to transform the expression:
The given expression is [tex]x^{2} -2x-2[/tex].Then the expression can be written as, add and subtract one.Then we have:[tex]x^{2} -2x+1-1-2\\x^{2} -2x+1-3\\(x-1)^{2} -3[/tex]Therefore, the given expression is equivalent to the expression (B) [tex](x-1)^{2} -3[/tex].
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The correct question is shown below:
Complete the square to transform the expression x^2− 2x − 2 into the form a(x − h)^2+ k.
(A) (x − 1)2 + 3
(B) (x − 1)2 − 3
(C) (x − 2)2 − 3
(D) (x − 2)2 + 3
A person bought a safe which can be unlocked by entering a 2-digit
secret code. After some time, he forgot the secret code of his safe.
However, he remembers some numbers that could be the secret code.
The secret code is one among the following numbers.
5 17 29 22 11 26 27 35 39 41
Let us give him some clues to find the secret code of his safe.
It is greater than 20
It is not a prime number
It is smaller than 40
It has 13 as one of its factors
It is an odd number.
It has only 4 factors
The secret code is ____________________
39 number is the secret code as the unlock code for the safe.
According to the statement
we have given that a some numbers as a code and we have to find the correct code after applying the given conditions.
So, For this purpose
The given number set is
5 17 29 22 11 26 27 35 39 41
So,
A. One condition : It is an odd number
so, the number set become
5 17 29 11 27 35 39 41
And
B. Second condition : It is greater than 20
so, the number set become
29 27 35 39 41
And
C. Third condition : It is smaller than 40
so, the number set become
29 27 35 39
And
D. Fourth condition : It is not a prime number
so, the number set become
27 35 39
And
E. Fifth condition : It has 13 as one of its factors
so, the number set become
39.
So, 39 number is the secret code as the unlock code for the safe.
Learn more about number set here
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PLS HELP ITS MATH PLS
Answer: x is -1/2,0 and y is 0,2
Step-by-step explanation:
Answer:
(4,0) , (0,2)
Step-by-step explanation:
Similar to the previous question.
x-intercept is where the line touches the x-axis , and y = 0.
when y = 0,
8x + 16(0) = 32
8x = 32
x = [tex]\frac{32}{8}[/tex]
x = 4
Therefore the coordinates of the x-intercept is (4,0)
y-intercept is where the line touches the y-axis, and x = 0.
when x = 0,
8(0) + 16y = 32
16y = 32
y = [tex]\frac{32}{16}[/tex]
y = 2
Therefore the coordinates of the y-intercept is (0,2)
i cant get this wrong or i fail
Answer: x < -2
Step-by-step explanation:
[tex]\frac{1}{2} x-7 < -8[/tex]
First add 7 to both sides
[tex]\frac{1}{2} x-7 +7 < -8+7[/tex]
[tex]\frac{1}{2} x < -1[/tex]
Now multiply by 2 to cancel out 1/2 and leave you with x
[tex]2*\frac{1}{2} x < -1(2)[/tex]
[tex]x < -2[/tex]
Thanks for the help in advance
Answer:
60
Step-by-step explanation:
Answer: 60
Step-by-step explanation:
Select all of the values of x that are solutions to 17-7x> 3(10x-4) + 61.
-2
-4
-1
2
5
0
Answer: -2, -4, -1
Step-by-step explanation:
[tex]17-7x > 3(10x-4)+61\\\\17-7x > 30x-12+61\\\\17-7x > 30x+49\\\\-32 > 37x\\\\x < -\frac{32}{37}[/tex]
So, the values of x are -2, -4, -1.
