Answer: The least possible value of k is -6.
Step-by-step explanation:
Let 'k' be the negative even integer that is greater than -7.86 .
On number line, -7.86 lies between -7 and -8 such that
-7 > -7.86 > -8
So, -7 is the least integer that is greater than -7.86.
Since, -6 > -7 . That means -6 is the least negative even integer that is greater than -7.86 .
Hence, the least possible value of k is -6.
What does x equal in the equation 4x + (−3) = 5x + 3?
Answer:
x = -6
Step-by-step explanation:
First write the equation.
4x + -3 = 5x + 3
The isolate x in the equation. Add -4x to both sides.
4x + -3 + -4x = 5x + 3 + -4x
-3 = x + 3
Then add -3 to both sides.
-3 + -3 = x + 3 + -3
-6 = x
Now you have the value of x = -6.
Cheers.
Answer:
x = -6Step-by-step explanation:
4x + (−3) = 5x + 3+3 +3
4x = 5x + 6-5x -5x
-x = 6÷(-1) ÷(-1)
x = - 6the sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
A company can make 12 printing presses for $78,600. It can make 19 printing presses for $82,380. Find the linear equation that models the cost to produce x printing presses. Use slope-intercept form
Answer:
[tex]C(x) = 540x + 72120[/tex]
Step-by-step explanation:
Given
Cost = $78,600 when Printing Press = 12
Cost = $82,380 when Printing Press = 19
Required
Determine the linear equation
From the given parameters; Cost is a function of Printing Press
Represent Cost by C and Printing press by x;
This implies that C = f(x)
The given parameters can then be modeled as; [tex](x, C)[/tex]
[tex](x_1, C_1) = (12,78600)[/tex]
[tex](x_2, C_2) = (19,82380)[/tex]
The first step is to calculate the slope, m;
[tex]m = \frac{C_1 - C_2}{x_1 - x_2}[/tex]
[tex]m = \frac{78600 - 82380}{12 - 19}[/tex]
[tex]m = \frac{-3780}{-7}[/tex]
[tex]m = 540[/tex]
The linear equation can then be calculated using slope formula
[tex]m = \frac{C- C_2}{x - x_2}[/tex]
Substitute 540 for m and [tex](x_2, C_2) = (19,82380)[/tex]
[tex]540 = \frac{C- 82380}{x - 19}[/tex]
Multiply both sides by x - 19
[tex]540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)[/tex]
[tex]540 * (x-19)= C- 82380[/tex]
Open bracket
[tex]540x - 10260 = C - 82380[/tex]
Add 82380 to both sides
[tex]540x - 10260 + 82380= C - 82380 + 82380[/tex]
[tex]540x - 10260 + 82380= C[/tex]
[tex]540x + 72120= C[/tex]
[tex]C = 540x + 72120[/tex]
Hence;
[tex]C(x) = 540x + 72120[/tex]
(h) 2/5 : 3/10
(i) 1/2 : 1/4: 1/6
(j) 2⅕ : 1¼ : 1⅕
express the following ratios in the simplest form.
Answer:
4/3
12
44/30
Step-by-step explanation:
2/5:3/10
=2/5*10/3
=20/15
=4/3
1/2:1/4:1/6
=1/2*4/1*6/1
=4/2*6/1
=24/2
=12
2⅕:1¼:1⅕
11/5:5/4:6/5
=11/5*4/5*5/6
=44/25*5/6
=220/150
=44/30
Hope this helps ;) ❤❤❤
1 1/2 + 2 1/2 x 3/4 -1/2
Answer:
[tex]\frac{23}{8} [/tex]Step-by-step explanation:
[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Multiply the fractions
[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]
Calculate the sum
[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]
[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]
Add the numbers
[tex] \frac{27}{8} - \frac{1}{2} [/tex]
Calculate the difference
[tex] \frac{27 - 1 \times 4}{8} [/tex]
[tex] \frac{27 - 4}{8} [/tex]
[tex] \frac{23}{8} [/tex]
Hope this helps...
Best regards!!
Describe methods you can use to show a proportional relationship between two variables ,x and y. Each method, explains how you can find the unit rate and the slope.
Answer: Find answer and explanation in the attached document.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tables of value: The ratio of Y to X gives the unit rate slope.
Equation: Make a table of VALUES. The ratio of Y to X gives the unit rate and slope.
Graph: The SLOPE of the graph is also the unit rate.
Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the previous round’s score. If he has 8 points in the first round, which of the following recursive formulas can be used to determine his score at the end of future rounds? Assume that the number of rounds is unlimited, and n is the number of rounds.
Answer:
8+n^2
Step-by-step explanation:
Answer:
f(n+1)=(f[n]-1)^2, where f(1)=8
Step-by-step explanation:
"it appears your explanation includes a link" so you don't get an explanation
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this claim is incorrect and find that a random sample of 14 similar vehicles has a mean price of $19,850 and a standard deviation of $1084. Is there enough evidence to reject the dealer's claim at a significance level (alpha) =0.05?
Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
Step-by-step explanation:
given that;
n = 14
mean Ж = 19,850
standard deviation S = 1,084
degree of freedom df = n - 1 = ( 14 -1 ) = 13
H₀ : ц ≥ 20,500
H₁ : ц < 20,500
Now the test statistics
t = (Ж - ц) / ( s/√n)
t = ( 19850 - 20500) / ( 1084/√14)
t = -2.244
we know that our degree of freedom df = 13
from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215
so P = 0.0215
significance ∝ = 0.05
we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )
There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500
consider the function y= -2 cos(x- pi). what effect does "-2" have on the basic graph? A) horizontal stretch by the factor 2 then flip over vertical axis b) vertical stretch by factor 2 then flip over horizontal axis c) vertical compression by factor 2 d) horizontal compression by factor 2
Answer:
The correct option is;
b) Vertically stretches by a factor 2 then flip over horizontal axis
Step-by-step explanation:
In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y
Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.
Which equation does the graph below represent?
y = 1/4 + x
y = 1/4x
y = 4 + x
y = 4x
Answer:
y = 4x
Step-by-step explanation:
If you look at the graph, it is crossing the y-axis at the origin of (0, 0). This means that the y-intercept (or the "b" in your equation of y = mx + b) will be zero. Since it is a zero, it would not need to be in the equation.
So, right now we have y = mx + 0, which would simply be just y = mx.
Next, remember that the "m" in this equation represents the slope. To find the slope on a graph, it is calculated by rise over run. If you look at your graph, starting at the origin, the rise is going up 4 units and the run is over by 1. This makes your slope (or your "m" value) the fraction of 4 over 1 (4/1).
This slope can simply be written as 4 because we know that anything over 1 is just equal to the numerator value.
So, this makes the equation for this line in slope intercept form as the following:
y = mx + b
y = (4/1)x + 0
y = 4x
Answer:
[tex]\boxed{y=4x}[/tex]
Step-by-step explanation:
First, lets see where the line crosses the y-axis at, the line crosses the y-axis at (0, 0), the y-intercept is 0.
We can use slope-intercept form of the equation to solve.
y = mx + b
m = slope
b = y-intercept
We know b = 0
y = mx + 0
y = mx
We need to find the slope.
slope = rise/run
Take two points: (0, 0) and (1, 4)
m = (4 - 0)/(1 - 0)
m = 4/1
m = 4
The slope of the line is 4.
y = (4)x
y = 4x
What is the volume of the cone? What is the volume of the cylinder? What is the volume of the sphere? At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Hint: Which shapes gives you more clay for less money?
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is more correct why or why not
Answer:
Step-by-step explanation:
A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite. An irrational number cannot be expressed as a ratio of two integers.
Taking square root of two as an example;
√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.
Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers not due to the fact that he can write it as a fraction.
ANSWER ASAP DO # 8 AND 9
Answer:
8: 1721 m
9: 1173 m
Step-by-step explanation:
8:
[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]
because initial velocity is 0:
[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]
9:
[tex]v_f^2 = v_i^2 + 2ad[/tex]
because velocity initial is 0:
[tex]v_f^2 = 2ad[/tex]
[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]
Answer:
do it youself
Step-by-step explanation:
What is the value of y in the solution to the system of equations? One-thirdx + One-fourthy = 1 2x – 3y = –30 –8 –3 3 8
Answer:
8 hopefully
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
I need help!
- 7(x + 2) = 21
Answer:
x = -5
Step-by-step explanation:
-7(x + 2) = 21
Divide each side by -7
-7/-7(x + 2) = 21/-7
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
Answer:
x = -5
Step-by-step explanation:
distribute: -7x-14 = 21
add 14 to both sides
divide by -7
x = -5
One angle of an isosceles triangle is 80º. What are the other two angles?
Answer:
80 and 20
Step-by-step explanation:
80+80+20=180
The base of a regular pyramid is a hexagon.
The Pentagon building in Washington, DC is the military headquarters of the United States. Why is this building called the Pentagon? Among the redwoods in California, there’s a rustic inn and restaurant called The Hexagon House. From the name of the inn, how many walls can you assume the main building of the inn has? Jill bought a basket to fill with potpourri. The basket has eight sides. What shape is it? Write the correct name for each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape Find the perimeter of each of the regular polygons described below. a. A square with sides measuring 6 centimeters b. An equilateral triangle with sides measuring 7 inches c. A regular heptagon with sides measuring 4 feet d. A regular nonagon with sides measuring 9 inches. Find the perimeter of each of the following polygons. Polygons Shelly is hanging strings of holiday lights around the front windows of her house. Each window is a square with sides measuring 5 feet in length. She has a total of 80 feet of light strings. How many windows will she be able to decorate? Use equations to find the length of the missing sides in each of the following polygons. a. A Shape b. A Shape c. A Shape d. A Shape
Answer:
1. It has 5 sides.
2. It has 6 walls.
3. Octagon
4. a. Pentagon (The figure has 5 sides.) b. Triangle (The figure has 3 sides.) c. Hexagon (The figure has 6 sides.) d. Hexagon (The figure has 6 sides.)
5. a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm, b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7, in. = 21 in., c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft., d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
6. a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft. b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in. c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
7. Shelly has enough lights to decorate four windows.
8. a. 8 ft, b. 4 m, c. 24 ft, d. 7 cm
Step-by-step explanation:
PennFoster
Answer:
It has 5 sides.
It has 6 walls.
Octagon
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
a. 6 cm + 6 cm + 6 cm + 6 cm = 24 cm, or 4 × 6 cm = 24 cm
b. 7 in. + 7 in. + 7 in. = 21 in., or 3 × 7 in. = 21 in.
c. 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. + 4 ft. = 28 ft., or 7 × 4 ft. = 28 ft.
d. 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. + 9 in. = 81 in., or 9 × 9 in. = 81 in.
a. 4 ft. + 3 ft. + 3 ft. + 2 ft. + 4 ft. + 5 ft. = 21 ft.
b. 8 in. + 8 in. + 8 in. + 8 in. + 3 in. + 3 in. + 3 in. + 3in. = 44 in.
c. 3 cm + 3 cm + 3 cm + 2 cm + 2 cm = 13 cm
Let w stand for the number of windows Shelly can decorate. Each window is a square with sides measuring 5 feet. The perimeter of one window is 4 × 5 feet. Divide the total length of the light strings by the perimeter of one window.
80 ft. ÷ (4 × 5ft.) = w
80ft. ÷ 20ft. = w
4 = w
Answer: Shelly has enough lights to decorate four windows.
Step-by-step explanation:
PENN
Choose the best estimate for the division problem below
6.7 /0.6
A. 16
B. 15
C. 11
Answer:
11
Step-by-step explanation:
6.7 / .6
Multiply top and bottom by 10
67/6
66/6 = 11 so this is close to 11
what is the area of the triangle in the diagram?
Answer:
area=17.5
Step-by-step explanation:
area=1/2(base*height)
area=1/2(3*7)
are=17.5
i need help Samir needs 450g of butter to make 60 shortbread biscuits.How many will he use to make 12 biscuits?
================================================
Work Shown:
450 g of butter = 60 biscuits
450/60 g of butter = 60/60 biscuits ... divide both sides by 60
7.5 g of butter = 1 biscuit
This means each biscuit needs 7.5 grams of butter
Multiply both sides by 12 to get
7.5 g of butter = 1 biscuit
12*7.5 g of butter = 12*1 biscuit
90 g of butter = 12 biscuits
What the answer now fast
Answer:
t=11.6
Step-by-step explanation:
sin 43=opp/hyp
sin 43=t/17
t= sin43*17
t=11.6
HELP JOHN CHEN I need help
w over 3< 1 or 3w+5>11
Step-by-step explanation:
[tex]\dfrac{w}{3}<1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{w}{3\!\!\!\!\diagup}<3\cdot1\\\\w<3\\===========================\\3w+5>11\qquad\text{subtract 5 from both sides}\\\\3w+5-5>11-5\\\\3w>6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\[/tex]
[tex]\text{If is}\ \bold{OR},\ \text{then}:\\\\w<3\ or\ w>2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w<3\ and\ w>2\Rightarrow 2<w<3\to w\in(2;\ 3)[/tex]
please help! I don't understand how to do this :(
Simplify.
Remove all perfect squares from inside the square root. Assume y is positive.
√200y^4=
Answer:
[tex]10\sqrt{2[/tex]y²
Step-by-step explanation:
So I am not sure if the root is only on 200, but if it is not, please comment, and I will add to it.
Can the following question be considered a statistical question, and why? How many hours are people watching movies each week?
Answer:
The answer is no.
Step-by-step explanation:
The questions does no specify how many people are watching the movies each week.
Hoped this helped you out a bit! :)
The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, comma, 1, comma, 2, comma, 1, comma, 2 Find the mean number of children.
Answer:
The mean number of the children is 1.2
Step-by-step explanation:
Given
Children: 0, 1, 2, 1, 2
Required
Determine the Mean number
The mean of a set is calculated as follows;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where x is the given set and n is the number of sets
In this case, n = 5 children
Hence;
[tex]Mean = \frac{0 + 1 + 2 + 1 + 2}{5}[/tex]
[tex]Mean = \frac{6}{5}[/tex]
[tex]Mean = 1.2[/tex]
Hence, the mean number of the children is 1.2
super easy problem its just graphing!! will mark brainliest <33
Answer:
[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
Check below the graph.
Step-by-step explanation:
Hi, for this function, check the graph below:
1) Note that in this function the value outside the brackets points how high the graph will be traced.
2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.
whats the principle square root of 100 A.10 B.50 C.200 D.10,000
An entertainment services provider on the internet has 10000 subscribers paying $15 per month. It can get 1000 more subscribers for each $1 decrease in the monthly fee. Determine the monthly fee that will yield the maximum monthly revenue and the value of that revenue
Answer:
Monthly fee that will yield the maximum monthly revenue is $12.5
Then the value of the maximum monthly revenue is $156 250
Step-by-step explanation:
x - value of decrease
1000x - number of new subscribers for $x decrease
10000+1000x - number of subscribers after $x decrease in the monthly fee
15-1x the monthly fee after $x decrease
f(x) = (10000 + 1000x)(15 - x) ← quadratic function
For quadratic function given in standard form: f(x) =a(x-h)²+k where a<0 the f(x)=k is the maximum value of function, and occurs for x=h
[tex]h=\frac{-b}{2a}\ ,\quad k=f(h)[/tex]
Expressing given function to standard form:
f(x) = 1000(10 + x)(15 - x)
f(x) = 1000(150 - 10x + 15x - x²)
f(x) = 1000(-x² + 5x + 150)
f(x) = -1000x² + 5000x + 150000 {a=-1000<0}
[tex]h=\dfrac{-5000}{2\cdot(-1000)}=\dfrac{5000}{2000}=\dfrac52=2.5\\\\k=f(2.5)=1000(10+2.5)(15-2.5)=1000\cdot12.5\cdot12.5=156\,250[/tex]
15-2.5 = 12.5
Answer:
Monthly fee is $12.5
Value of revenue is $156,250