Step-by-step explanation:
multiply the outer term to the inner term
so, 6x-10.
Hello.
Let's use the Distributive Property to simplify the given expression.
Remember, the Distributive property states that
a(b+c)=ab+ac
Now, let's simplify our expression:
2(3x-5)
6x-10
This is the simplified answer; we can't simplify it anymore.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
how to write two pounds and four pence
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]
Answer:
Absolute Maximum: (0.2 , 80.2)
Absolute Minimum: (4 , 8 )
Step-by-step explanation:
A television station shows 3 commercials every 12 minutes. At this rate, how many commercials will the station show in 84 minutes?
Answer:
21
Step-by-step explanation:
84/12=7x3=21
Which expression is equal to 97/33 ?
Answer:
2 31/33
Step-by-step explanation:
Answer:
=2.93939393
Step-by-step explanation:
97/33
=2.93939393
how do you write 76% as a fraction
Answer:
76/100 or simplified into 19/25
Answer:
Step-by-step explanation:
76/100
Derek and his friend share two small pizzas Derek ate 7/6 of the pizzas which mixed number shows how much pizza Derek ate
What are the next terms in the sequence 19, 36, 53,70
In what direction is the line containing the points (-4, 3) and (-4, 14) going?
A. horizontal
B. vertical
C. up and to the left
D. down and to the right
Answer:
A. horizontal because -4 and -4 are on the same line... it's coordinate planes it's always over then up so your line will be horizontal going from 3 to 14
A composite figure has three congruent triangles removed from it.
What is the area of the shaded region?
O 98ft
O 128ft
O 160ft
O 192ft
Answer:
[tex] 128 \: {ft}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = 3 times the area of one square with side length 8 ft - 3 time the area of one triangle with base 8 ft and height 8 ft
[tex] = 3 {(8)}^{2} - \cancel 3 \times \frac{1}{\cancel 3} \times 8 \times 8 \\ \\ = 3 \times 64 - 64 \\ \\ = (3 - 1)64 \\ \\ = 2 \times 64 \\ \\ = 128 \: {ft}^{2} [/tex]
Explicit formula for
1,5,3,6,12
one, no, or infinitely many solutions
Answer:
Only one solution
Step-by-step explanation:
Given:
2c + 4 - 3c = -9 + c + 5
Find:
Number of solution
Computation:
2c + 4 - 3c = -9 + c + 5
-c + 4 = -4 + c
-2c = -8
c = 4
Only one solution
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
Urgent help please !!!
Answer:
The answer is A. 3x + 3
Step-by-step explanation:
Umm yea its that
30. President Ronald Reagan earned a yearly salary of 2 x 10^5 dollars as
president. He served 8 years as president. What was the total amount of
money Ronald Reagan earned as president?
A 1.6 x 106 dollars
B. 2.0 x 106 dollars
c. 1.6 x 107 dollars
D. 2.0 x 107 dollars
Answer:
a) 1.6 x 10 ^6 dollars.
Step-by-step explanation:
since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.
1 Sole for x. Round your answer to the nearest tenth.*
17
6
Answer:
15.9
Step-by-step explanation:
Formula:
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
[tex]\sqrt{x^2} =\sqrt{253}[/tex]
x = 15.91
The value of x will be equal to x = 15.9.
The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that the sides of the triangle are,
a = 6,
b = x
c = 17
The value of x will be calculated as,
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
x = 15.91
Therefore, the value of x will be equal to 15.91.
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Axis of sym: x =
Vertex: (
,
)
Do not do the domain
Range: Pick one: A. y≥4 B. y<4 C. y≤4 D. y≤−2 E. y<−2
The Range is
Zeros:
and
Equation:
Answer:
SEE BELOWStep-by-step explanation:
to understand thisyou need to know about:quadratic functionPEMDASlet's solve:vertex:(h,k)
therefore
vertex:(-1,4)
axis of symmetry:x=h
therefore
axis of symmetry:x=-1
to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0vertex form of quadratic equation:
y=a(x-h)²+ktherefore
y=a(x-(-1))²+4y=a(x+1)²+4it's to notice that we don't know what a is
therefore we have to figure it out
the graph crosses y-asix at (0,3) coordinates
so,
3=a(0+1)²+4
simplify parentheses:
[tex]3 = a(1 {)}^{2} + 4[/tex]
simplify exponent:
[tex]3 = a + 4[/tex]
therefore
[tex]a = - 1[/tex]
our vertex form of quadratic equation is
y=-(x+1)²+4let's simplify it to standard form
simplify square:
[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]
simplify parentheses:
[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]
simplify addition:
[tex]y = - {x}^{2} - 2x + 3[/tex]
therefore our answer is D)y=-x²-2x+3
the domain of the function
[tex]x\in \mathbb{R}[/tex]
and the range of the function is
[tex]y\leqslant 4[/tex]
zeroes of the function:
[tex] - {x}^{2} - 2x + 3 = 0[/tex]
[tex] \sf divide \: both \: sides \: by \: - 1[/tex]
[tex] {x}^{2} + 2x - 3 = 0[/tex]
[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]
factor out x and -1 respectively:
[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]
group:
[tex] \implies \: (x - 1)(x + 3) = 0[/tex]
therefore
[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]
Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?
Answer:
12000 meters
Step-by-step explanation:
Answer:
12,000 m
Step-by-step explanation:
1 km = 1000 m
12 km = 12 * 1 km = 12 * 1000 m = 12,000 m
Can someone please solve this using quadratic formula 2x^2 -7x -15=0
Solution
x=5
x= -3/2
Hopefully its good
Stuck On this one too. Think I’m missing a step
Answer:
The answer is B) 152
Step-by-step explanation:
someone do this pls help?
ans.................
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
A cone has a radius of 1.2 inches and a height pf 2.9 inches. What is the volume, to the nearest tenth of a cubic inch,of a cone?
9514 1404 393
Answer:
4.4 in³
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³
Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
The gym charges $41.5 per month.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
One time fee of gym = $59
Justine will pay after one year = $557
So, gym fees per year = $557 - $59
⇒ gym fees per year = $498
∴ gym fees per month = gym fees per year / 12
⇒ gym fees per month = $498/12
⇒ gym fees per month = $41.50
Thus,the gym charges $41.50 per month.
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Mr. Fishman used to work in a warehouse in New York. He would fill up pallets of product to be shipped to retail stores around the country. He would then drive the forklift to place the heavy pallets on the industrial scale to determine the weight for the bill of lading and then he would load the pallets onto the shipping trucks. One shipment had a full pallet (10 cartons per level and 8 levels high) mixed with two different products that had the exact same size shipping carton. The different packages were clearly marked, but once they were loaded on the pallet it was almost impossible to distinguish between them. While the cartons were the same size, each carton of Product X weighed 3 pounds while each carton of Product Y weighed 5 pounds.
Required:
How many cartons of each product were on the pallet?
Complete question:
When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.
How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units
Answer:
we have 25 and 55 cartons of each product
Step-by-step explanation:
we have number of carton = 10 x 8 = 80
each level has 10, and leves are 8 high
two types of product packages,
we call them w and x
w + x = 80 ------ equation 1
w has 3 pounds weight
x has 5 pounds weight
3*w +5*x
3w + 5x
total weight = 325
we subtract weight of pallet 35
= 325 - 35 = 290
3w + 5x = 290-------- equation 2
we have two equations
w + x = 80------(1)
3w + 5x = 290-------(2)
from equation 1,
w = 80 - x
put this value above in equation 2
3(80-x) + 5x = 290
240-3x+5x = 290
240+2x = 290
2x = 290-240
2x = 50
divide through by 2
x = 25
put value of x in equation 1
w + 25 = 80
w = 80-25
w = 55
so we have 55 cartons of w and 25 cartons of product x
Need help on this please
Answer:
dff
Step-by-step explanation:
saf
If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is
c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation
When d = 324 , then
c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5
Buffer stock is the level of stock
Answer:
akuy3uwujwu
Step-by-step explanation:
uwoedihwo
Answer:
Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.
HOPE IT HELPS...
HAVE A GREAT DAY : P
The concentration of hexane (a common solvent) was measured in units of micrograms per liter for a simple random sample of sixteen specimens of untreated ground water taken near a municipal landfill. The sample mean was 228.0 with a sample standard deviation of 4.3. Twenty specimens of treated ground water had an average hexane concentration of 224.6 with a standard deviation of 5.0. It is reasonable to assume that both samples come from populations that are approximately normal.
Can you conclude that the mean hexane concentration is less in treated water than in untreated water? Use the ? = 0.10 level of significance.
No
Yes
Answer:
Yes, it can be concluded that the mean hexane concentration is less in treated water than in unsaturated water
Step-by-step explanation:
The number of of specimen in the samples of untreated water, n₁ = 16
The sample mean, [tex]\overline x_1[/tex] = 228.0
The sample standard deviation, s₁ = 4.3
The number of of specimen in the samples of treated water, n₂ = 20
The sample mean, [tex]\overline x_2[/tex] = 224.6
The sample standard deviation, s₂ = 5.0
The level of significance = 0.10
The null hypothesis, H₀; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] < [tex]\overline x_2[/tex]
The degrees of freedom = 16 - 1 = 15
The test statistic, [tex]t_{\alpha}[/tex] = 1.341
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Plugging in the values, we get;
[tex]t=\dfrac{(224.6- 228.0)}{\sqrt{\dfrac{5.0^{2}}{20} -\dfrac{4.3^{2} }{16}}} \approx -11.0675[/tex]
Given that the t-value is large, the corresponding p-value is low, therefore, we fail to reject the null hypothesis and there is considerable statistical evidence to suggest that the mean hexane concentration is less in treated than in untreated water, therefore, we have; [tex]\overline x_1[/tex] ≥ [tex]\overline x_2[/tex]
pls help immediately!!!!
Executives for a grocery store chain want to survey their employees about a new policy regarding break times. To
get a representative sample of 40 employees, they randomly select 10 people from each of the different job titles at
the store (cashier, bagger, stocker, and manager). Which sampling method was used?
O cluster sampling
O simple random sampling
O stratified random sampling
O systematic random sampling
Answer:
Stratified random
Step-by-step explanation:
got it right
Answer:
C
Step-by-step explanation: