The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)
How to factor the expression 14e - 16?The expression is given as:
14e - 16
Express both terms as a product of 2
14e - 16 = 2 * 7e - 2 * 8
Factor out 2 in the expression
14e - 16 = 2 * (7e - 8)
Remove the product sign
14e - 16 = 2(7e - 8)
Hence, the factored expression of 14e - 16 is 2(7e - 8)
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What is the domain of f(x) = √x – 4 over the set of real numbers?
Answer:
(2) x [tex]\geq \\[/tex] 4
Step-by-step explanation:
Given the sqrt(x), x [tex]\geq \\[/tex] zero
So, given sqrt(x -4), x -4 [tex]\geq \\[/tex] 0
Now solve for x
x - 4 [tex]\geq \\[/tex] 0
x [tex]\geq \\[/tex] 4
Match The Like Terms
(Algebra 1 class)
1 is c
2 is d
3 is a
4 is e
5 is b
^● ●^
Caroline was out at a restaurant for dinner when the bill came. Her dinner came to $22. After adding in a tip, before tax, she paid $25.08. Find the percent tip.
Caroline paid 14% of the cost of the dinner as a tip.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Extra pay or tip = 25.08 - 22
= $3.08
Now,
Percentage of tip corresponding to the bill amount,
= 3.08 / 22 × 100
= 14%
Thus, Caroline paid 14% of the cost of the dinner as a tip.
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determine the general solution
Answer:
There is no question given here.
Use elimination method to solve the system of equations
Answer:
x=1/4, y=-1/2, z=1/3
Step-by-step explanation:
the answer can't be understood through typing check the age above
study the figures below and calculate its surface area by identifying first what is the value of its base and height or length and width?
Answer:
[tex]937.5 m x^{2} \\1369 cm x^{2} \\276mx^{2} \\17500mx^{2} \\270cmx^{2}[/tex]
Step-by-step explanation:
Soulution : Area of a triangle { Area Of A Triangle = 35m x 25m x 1/2 = [tex]437.5mx^{2}[/tex] bottom x height x 1/2 }
Area of the squear ( [tex]37cmx^{2}[/tex] ) = [tex]1369cmx^{2}[/tex] { Area of square = ( [tex]sidex^{2}[/tex]) }
Area of the rombus 1209 x 23m = [tex]276mx^{2}[/tex]
Area of the rectangle 175m x 100m = [tex]17500mx^{2}[/tex]
Area of the parallelogram 18cm x 15cm = [tex]270cmx^{2}[/tex]
Which statements are true about x? Select three options.
The element x is an illustration of sets and the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
How to determine the true statements?From the Venn diagram in the complete question, we have the following highlights:
Element x is present in set BElement x is present in set CThe above means that:
The element is a common element in the intersection of sets B & C and in the union of sets B & C.
This is represented as:
x ∈ B ∪ C and x ∈ B ∩ C
Also, we can say that the element is a common element in the union of sets A & C and in the union of sets A & B.
This is represented as:
x ∈ A ∪ B and x ∈ A ∪ C
Hence, the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
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Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
Determine the coordinates of P
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment [tex]\overline{AB}[/tex]such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is [tex](x_1, y_1)[/tex]and the coordinate of B is [tex](x_2, y_2)[/tex]We're given that:
Coordinate of A is [tex](x_1, y_1)[/tex] = (-7,2)Coordinate of B is [tex](x_2, y_2)[/tex] = (9.-6)The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)Let the coordinate of P be (x,y), then we get the values of x and y as:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)[/tex]
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
The formula for the area of a triangle is Area = 1/2 x base x height.
The base is given as 11 yards and the height is the dashed line given as 5 yards.
Area = 1/2 x 5 x 9 = 22.5 square yards.
2. A light fixture contains 6 light bulbs. With normal use, each bulb has a 0.85
chance of lasting for at least 4 months. What is the theoretical probability that
all 6 bulbs will last for 4 months? Round to the nearest whole percent.
Using the binomial distribution, it is found that there is a 0.38 = 38% theoretical probability that all 6 bulbs will last for 4 months.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 6 bulbs, hence n = 6.Each bulb has a 0.85 chance of lasting for at least 4 months, hence p = 0.85.The probability that all 6 bulbs will last for 4 months is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{6,6}.(0.85)^{6}.(0.15)^{0} \approx 0.38[/tex]
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solve using quadratic formula pls show work
Answer:
[tex]x=\frac{3}{8},\:x=0[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}[/tex]
[tex]\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}[/tex]
[tex]=\sqrt{3^2-4\cdot \:8\cdot \:0}[/tex]
[tex]\sqrt{3^2}[/tex]
3
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}[/tex]
Separate the solutions:
[tex]x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}[/tex]
[tex]x=\frac{3}{8},\:x=0[/tex]
Marsha is driving 605 total miles on a trip. She has already driven of the distance. How far has Marsha driven?
A. 121
B. 242
C. 363
D. 302 1/2
Answer:
605*2/5=121*2=242 miles so B would be the answer
Step-by-step explanation:
17. The velocity, in meters per second, of a runner is given by the function v(t)=11 et +5t. A. Find the acceleration of the runner at time t = 3 seconds. Include the proper units. B. Find the position function given that the runner starts at a distance of 6 meters.
Answer:
a) a= 5 m/s^2
b) P(t) = 2.5 t^2 + 11 t + 6
Step-by-step explanation:
The velocity function is V(t) = a*t + Vo
In this case: V(t) = 5t + 11
It means the constant acceleration a = 5 m/s^2
while the initial velocity (at time t=0s) is 11 m/s
The position function is:
P(t) = 1/2 A*t^2 + Vo*t + Po
In this case:
P(t) = 2.5 t^2 + 11 t + 6
What would be the future value of 19,378 invested now if the money remains deposited for eight years and the interest rate is 18
percent
Answer:
$72,839.17
Step-by-step explanation:
[tex]19378( {1.18}^{8} ) = 72839.17[/tex]
Write the inequality that represents the a-values highlighted on d)
Answer:
X is less then or equal to -3
Y is greater then 1
Step-by-step explanation:
Hole circle means greater then or equal to
No hole circle means greater then or less then
identify each type of tax describe. Tariff, Property, Payroll ,Income
• A tax on certain imported or exported goods. •A tax based on a percentage of an individual's income.
• A tax on wages to fund programs such as Social Security
•A tax based on the value of a home, land, or an office building
Answer:
a tax on certain imported or exported goods is tariff
a tax based on a percentage of an individual's income is income
a tax on wages to fund programs such as Social Security is payroll
a tax based on the value of a home, land, or an office building is property
Step-by-step explanation:
What value will make the equation below true? Equation: -2.1- ? = -1.50
Answer:
? = −0.6
Step-by-step explanation:
If you preform the opposite operation, you get what ? equals.
-2.1 + 1.50 = -0.6
Store Trash manufactures trash cans that are open at the top and do not have lids. The company’s engineers are designing a trash can that has a total volume of 7.85/cubedft. They are deciding between a rectangular prism-shaped trash can with base dimensions of 1.5 ft X 2.0 ft and a cylindrical trash can with a base area of 3.14/squaredft. The material used to manufacture the trash cans costs $3.60 per square foot. Which trash can design will cost the company less to manufacture and by approximately how much?
a) cylindrical trash can by $2.47.
b) cylindrical trash can by $8.89.
c)rectangular prism trash can by $0.50.
d) rectangular prism trash can by $3.96.
From standard deck of 52 cards. In how many ways may we select 4 cards such that exactly 2 are face cards?
Answer:
87,516 ways
Step-by-step explanation:
Given
4 cards must be chosen from a deck of 52 cards2 of them must be face cardsSolving
2 out of 52 cards can be any combination of cards ⇒ ⁵²C₅The other 2 have to be face cards ⇒ ¹²C₂No. of ways : ⁵²C₂ x ¹²C₂52 x 51 x 1/2 x 12 x 11 x 1/226 x 51 x 6 x 1187,516 waysAnswer:
Putangina mo tama naman yung sa taas eh
Which system of linear equations can be solved using equation [x y] = [1/4 3/4 1 2] [28 -12]
-8x+3y=28
4x-y=-12
Step-by-step explanation:
Let's find x and y from matrices and then check for this systems.
[tex]\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.][/tex]
Simplify, so we got
7-9
28-24
------
So x=-2
y=4
So we need to put those values and check system.
Find the value of x.
Answer:
ok so this is a combination of the pyatrom theorm and algrebra
16^2+28^2=(x+10)^2
1040=x2+100
940=x2
x=30.66
Hope This Helps!!!
Answer:
25.1Step-by-step explanation:
Before finding the value of x which is the base in the right triangle, we must have to find the perpendicular in the left angle triangle.
So, In the left triangle,
→ (Base)² + (Perpendicular)² = (Hypotenuse)²
→ (10)² + (Perpendicular)² = (16)²
→ (Perpendicular)² = (16)² – (10)²
→ (Perpendicular)² = 256 – 100
→ (Perpendicular)² = 156
→ Perpendicular = √(156)
→ Perpendicular = 12.4
Now, In the right triangle, we have :
→ (Base)² + (Perpendicular)² = (Hypotenuse)²
→ (x)² + (12.4)² = (28)²
→ (x)² = (28)² – (12.4)²
→ (x)² = 784 – 153.7
→ (x)² = 630.3
→ x = √(630.3)
→ x = 25.1
Therefore,
The value of x is 25.1What is the volume of the following rectangular prism?
Step-by-step explanation:
green = surface area
Volume = 9/5 × 2/3
= 1.2 unit³
13 over 11 equals 4 over u
Answer:
u = 44/13
Step-by-step explanation:
Step 1. Cross multiply
Step 2. Simplify each side
Step 3. Isolate variable
[tex]\frac{13}{11} =\frac{4}{u}[/tex]
[tex]13u=(4)(11)[/tex]
[tex]13u=44[/tex]
[tex]u=44/13[/tex]
BRAINLIEST please if this helped!If you divide me by 42, the
quotient is 56. What number
am I?
2352
hope it helps...!!!
Answer:
2352
Step-by-step explanation:
If you divide 2352 by 42, the quotient would be 56.
This can easily be solved knowing what inverse operations are.
42 * 56 = 2352
Therefore,
2352 / 42 = 56
More info can be found searching inverse operations.
Giovanni left the house for 240 seconds. How many minutes was Giovanni gone?
Answer:
4 minutes
Step-by-step explanation:
There are 60 seconds in 1 min
240÷60=4
needing help with this trigonometry
Answer:
x = 7.2
Step-by-step explanation:
x is the hypotenuse
applies cosine
[tex]cos(33^{o} )=\frac{6}{x}[/tex]
[tex]x=\frac{6}{cos(33^{o} )} =7.154[/tex]
Round to the nearest tenth:
x = 7.2
Hope this helps
will mark brainliest
Answer:
The outcomes of his 40 experiments are listed in the table, according to him there were 13 times there were two tails. Now simply multiply that times three considering the amount of expirement was tripled.
13 times 3 = 39
If 140 seventh graders were
surveyed about their favorite
sports, find the actual number
of students that chose each
sport.
Soccer -
Volleyball -
Football -
Basketball -
Answer:
i will prefer fotbal and socer
Step-by-step explanation:
What is the Standard form for 10^6?
A.60
B.100,000
C.1,000,000
D.10,000,000
10^6 can be expanded as follows: 10 x 10 x 10 x 10 x 10 x 10
1 stays the same, and there are 6 zeroes (the same number as the exponent)
10^6 = 1000000
Correct Answer: C, 1000000
Hope this helps!
Answer:
C. 1,000,000
Step-by-step explanation:
10¹ = 10
10² = 100
10³ = 1,000
10⁴ = 10,000
10⁵ = 100,000
10⁶ = 1,000,000
35-36 Use a graph to find approximate [tex]x[/tex] -coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about the [tex]x[/tex] -axis the region bounded by these curves.
36. [tex]y=\sqrt[3]{2 x-x^{2}}, \quad y=x^{2} /\left(x^{2}+1\right)[/tex]
The approximate x-coordinates of the points of intersection of the given curves are 0 & 1.76, and the volume of the solid when rotated about the x-axis is 3.15 cubic units
Part A: The points of intersectionThe equations are given as:
y = ∛2x - x²
y = x²/(x² + 1)
See attachment for the graph of the above curves (equation)
From the attached curve, we have the following points of intersection
(x,y) = (0,0) and (1.76,0.76)
Remove the y coordinates
x = 0 and 1.76
Hence, the approximate x-coordinates of the points of intersection of the given curves are 0 and 1.76
The volume of the solid when rotated about the x-axisThe volume of the solid is calculated using:
V = π(R² - r²)
Where R and r are the outer and the inner radii, respectively.
In this case;
R = ∛2x - x²
r = x²/(x² + 1)
Using a calculator, we have:
V = 3.15
Hence, the volume of the solid when rotated about the x-axis is 3.15 cubic units
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