Answer:
39x
Step-by-step explanation:
Just multiply 7 by 5 and that equals-35
now you just add 4x by 35 and that equals-39x
please help with this question
Answer:
B
Step-by-step explanation:
Any number, regardless of its sign, raised to an even power will always be positive. Therefore, a⁷² will be positive. We know that -3/7 is negative, and since a positive times a negative is negative, the answer will be negative.
Which number line represents the solution to the inequality 4x +20 <40
Step-by-step explanation:
The solution of the line x<5
Inequalities are used to represent unequal expressions
The solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]
The inequality is given as:
[tex]4x + 20 < 40[/tex]
Subtract 20 from both sides of the inequalities
[tex]4x < 20[/tex]
Divide both sides of the inequalities by 4
[tex]x < 5[/tex]
This means that the solution to the inequality [tex]4x + 20 < 40[/tex] is [tex]x < 5[/tex]
See attachment for the number line
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40% of an angle is the complement of 70°.Find the angle step by step
Answer:
Answer:
72°
Step-by-step explanation:
Start by putting the information you’re given into an equation. The angle measure is 4 times the compliment so it has the measure 4x.
Complementary angles are two angels with a sum of 90°.
So our equation will be 4x + x = 90
Add your like terms to get 5x = 90
Divide 90 by 5 to get x by itself.
X = 18
Since the angle we’re trying to find is 4 times the compliment you’re going to multiply 18 by 4 which will give you your answer of 72°
is -5.5 a rational number?
The square root of 75 is_____ (round to the hundredths place if necessary)
[tex] \sqrt{500} [/tex]
what the answer ?
Which point best approximatesStartRoot 3 EndRoot? A number line going from 0 to 4. Point a is between 0 and 1, point B is between 1 and 2, point C is at 2, and point D is at 3. A B C D
Answer:
B
Step-by-step explanation:
The square of 1 is 1, so 1 is less than the square root of 3.
The square of 2 is 4, so 2 is more than the square root of 3.
The point that lies between 1 and 2 is the best approximation of √3.
Answer:
B
Step-by-step explanation:
PLEASE HELP The y-intercept of the equation y = 12x - 8 is 8. True False
Answer: False!
This equation is in slope - intercept form, where y = mx + b. B is the y - intercept and m is the slope. They got the location of the y - intercept right, but they forgot to add the negative. It's actually -8.
Hope this helps!
The y-intercept is -8 as the minus always stays with the number to the right of it
I'VE BEEN STUCK ON THIS .... Find the volume of this triangular pyramid Volume = 1/3(Area of Base)(Height) Enter only the numerical part of your answer in cubic units.
Answer:
[tex]96ft^{3}[/tex]
Step-by-step explanation:
Step 1: Find area of base
[tex]\frac{bh}{2}=\frac{(6)(8)}{2} =\frac{48}{2}=24ft^{2}[/tex]
Step 2: Find Volume
[tex]V=\frac{1}{3} (24)12\\V=\frac{1}{3} (288)\\V=96ft^{3}[/tex]
Therefore the volume of the triangular pyramid is [tex]96ft^{3}[/tex]
The volume of the triangular pyramid will be 96 cubic feet.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height and A be the base area of the pyramid.
Then the volume of the pyramid will be
Volume = (1/3) × A × h
The base area of the triangular pyramid is calculated as,
A = 1/2 x 6 x 8
A = 3 x 8
A = 24 square feet
Then the volume of the triangular pyramid is calculated as,
V = 1/3 x 24 x 12
V = 8 x 12
V = 96 cubic feet
The volume of the triangular pyramid will be 96 cubic feet.
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h(t)= (t+3)^2 + 5
What is the average rate of change of h over the interval -5 < t < -1?
Answer:
The average rate of change for the given function in the interval (-5, -1) is 0 (zero)
Step-by-step explanation:
The average rate of change of a function over an interval is the quotient between the difference between the function evaluated at the ends of the interval divided by the length of the interval. That is for our case:
the average rte of change of h(t) in the interval (-5, -1) is:
[tex]\frac{h(-1)-h(-5)}{-1+5}[/tex]
so we find:
[tex]h(-1)=(-1+3)^2+5=2^2+5=4+5=9\\and\\h(-5)=(-5+3)^2+5=(-2)^2+5=4+5=9[/tex]
then the average rate of change becomes:
[tex]\frac{h(-1)-h(-5)}{-1+5}=\frac{9-9}{4} =\frac{0}{4} =0[/tex]
what is the answer to 3x + 7x − 2
Answer:
Step-by-step explanation:
Add like terms. 3x & 7x are like terms
3x +7x - 2 = 10x - 2
Answer:
0.2
Step-by-step explanation:
3x+7x-2
3x+7x-2=0
3x+7x=2
10x=2
x=2/10
x=[tex]\frac{1}{5}[/tex]
a natural number is ____ a rational number
The Rational numbers ( Q ) include the Natural numbers ( N ):
A natural number is always a rational number.
:)
Given distance = speed x time How far would someone go if they drove 50 miles per hour for 30 minutes?
Answer:
25 miles
Step-by-step explanation:
We need to convert 30 minutes to hours
30 minutes * 1 hour/ 60 minutes = .5 hours
distance = speed x time
distance = 50 mph * .5 hours
= 25 miles
Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the graphs of f(x) and g(x).
And we know that g(x) is defined as f(kx), where k is some constant.
First, from the graph we can note two points:
For g(x), we have the point (1,10) and for f(x), we have the point (4,10).
In other words:
[tex]g(1)=10[/tex]
And since we know the g(x) is f(kx), this means that:
[tex]g(1)=10\\g(1)=10=f(1(k))=10[/tex]
And we know the for f(x) to be 10, the initial value is 4. Therefore:
[tex]f(1(k))=10=f(4)\\1k=4\\k=4[/tex]
Therefore, the value of k is 4.
Answer:
[tex]\huge \boxed{k=4}[/tex]
Step-by-step explanation:
The graph of g(x) crosses the point (1, 10).
The graph of f(x) crosses the point (4, 10).
So, g(1) = 10. The x (input) is 1. The output is 10.
f(4) = 10. The x (input) is 4. The ouput is 10.
g(1) = f(4)
g(x) = f(k ⋅ x)
g(1) = f(k ⋅ 1)
f(k ⋅ 1) = f(4)
k ⋅ 1 = 4
k = 4
A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. a. How many simple events are in the sample space
In ΔABC, if m∠CAD = 29°, the m∠DAB is
Answer:
Angle DAB is 29°.
Step-by-step explanation:
The lines in the two angles show that they are equal.
So angle DAB is equal to angle CAD.
m∠DAB is 29°
Given:
m∠CAD = 29°
From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.
Congruent angles are equal to each other.
∠CAD and ∠DAB are congruent angles.
Thus,
m∠CAD = m∠DAB = 29°
Therefore, m∠DAB is 29°
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If the ladder is 16 feet long and the window ledge is 12 feet off the ground, how far from
the house is the base of the ladder?
Answer:
10.58 feet
Step-by-step explanation:
Hello!
If you think about how it would look in life you will notice that it looks like a right triangle which means we can use the Pythagorean theorem to find the far the ladder needs to be from the house.
The Pythagorean theorem is [tex]a^{2}+ b^{2}= c^{2}[/tex]
a is a leg
b is the other leg
c is the hypotenuse
Since the ladder has to go from the ground to the window ledge it is the hypotenuse and the window ledge is a leg
Put in what we know
[tex]a^{2} +12^{2} =16^{2}[/tex]
Now we solve for a
Simplify
a^2 + 144 = 256
Subtract 144 from both sides
a^2 = 112
Take the square root of both sides
a = 10.583
The answer is 10.58 feet
Hope this helps!
Answer:
11 ft
Step-by-step explanation:
Try to imagine it or draw it out to help you. The ladder is 16 feet long and the window ledge is 12 feet high, so this is a right triangle.
The ladder is the hypotenuse, so use the given values in the pythagorean theorem.
a^2 + b^2 = c^2
12 + b^2 = 16
b = 11
12^2 + 11^2 = 16^2
1 44 + 121 = 265
√265 = 16
Please help I need to them all
Answer:
Step-by-step explanation:
1). 6x + 7 - 18x + 4
= (6x - 18x) + (7 + 4)
= -12x + 11
2). 5x - 7x + 5x + 4 - 9
= (5x + 5x - 7x) + (4 - 9)
= 3x - 5
3). 3x + 8y - 5x + 3y
= (3x - 5x) + (8y + 3y)
= -2x + 11y
4). 17x² - 7x²- 5x + 3x + 14
= (17x² - 7x²) + (-5x + 3x) + 14
= 10x² - 2x + 14
5). 3xy - 9xy - 5x + 4x - 7 + 3
= (3xy - 9xy) + (-5x + 4x) + (-7 + 3)
= -6xy - x - 4
6). 9x + 7y - 15x + 4x - 9y
= (9x - 15x + 4x) + (7y - 9y)
= -2x - 2y
7). 3x + 7 - 5x - 8y + 4x - 2y + 7
= (3x - 5x + 4x) + (-8y - 2y) + 14
= 2x - 10y + 14
8). 3xy - xy + 15x + 4 - 11
= (3xy - xy) + 15x + (4 - 11)
= 2xy + 15x - 7
9). -8x + 3x + 7y - 5x + 4y - 2
= (-8x - 5x + 3x) + (7y + 4y) - 2
= -10x + 11y - 2
10). 3x² + 6x - 3y + 2x - 7
= 3x² + (6x + 2x) - 3y - 7
= 3x² + 8x - 3y - 7
3. Evaluate at the given value: g(x)=-2x+7, g^-1(-2)
Answer:
[tex]{g}^{ - 1} ( - 2) = \frac{9}{2} [/tex]Step-by-step explanation:
To find g-¹( 2) we must first find g-¹(x)
To find g-¹(x) equate g(x) to y
That's
y = g(x)
We have
y = - 2x + 7
Now interchange the terms that's x becomes y and y becomes x
We have
x = - 2y + 7
Make y the subject in order to find g-¹(x)
Move 7 to the left side of the equation
- 2y = x - 7
Multiply both sides by - 1
We have
2y = 7 - x
Divide both sides by 2 to make y stand alone
That's
[tex]y = \frac{7 - x}{2} [/tex]So we have
[tex]g ^{ - 1} (x) = \frac{7 - x}{2} [/tex]Now to find g-¹(- 2) substitute the value of x that's - 2 into the expression
We have
[tex] {g}^{ - 1} ( - 2) = \frac{7 - - 2}{2} \\ {g}^{ - 1} ( - 2) = \frac{7 + 2}{2} [/tex]We have the final answer as
[tex]{g}^{ - 1} ( - 2) = \frac{9}{2} [/tex]Hope this helps you
Answer:
-10
-12
Step-by-step explanation:
Match the following values as a A) discrete random variable, B) continuous random variable, or C) not a random variable: Exact weight of quarters now in circulation in the United States ________ Shoe sizes of humans ________ Political party affiliations of adults in the United States ________
Answer:
Exact weight of quarters now in circulation in the United States (continuous random variable )
Shoe sizes of humans (discrete random variable)
Political party affiliations of adults in the United States ( random variable)
Step-by-step explanation:
continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.
discrete random variable: this is the assigning of values based on the outcome of a radom experiment.
random variable: a random variable is a set of possible outcomes from a random experiment
Porfabor necesito ayuda en la esta pregunta. ¿Encuentra cuatro pares ordenados de la siguiente función? f(x) = X3 – 2X2 – 2
Answer:
(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
Step-by-step explanation:
Un par ordenado es un elemento de la forma [tex](x,f(x))[/tex], donde [tex]x[/tex] es un elemento del dominio de la función, mientras [tex]f(x)[/tex] es la imagen de la función evaluada en [tex]x[/tex]. Entonces, un par ordenado que está contenido en la citada función debe satisfacer la siguiente condición:
La imagen de la función existe para un elemento dado del dominio. Esto es:
[tex]x \rightarrow f(x)[/tex]
Dado que [tex]f(x)[/tex] es una función polinómica, existe una imagen para todo elemento [tex]x[/tex]. Ahora, se eligen elementos arbitrarios del dominio para determinar sus imágenes respectivas:
x = 0
[tex]f(0) = 0^{3}-2\cdot (0)^{2}-2[/tex]
[tex]f(0) = -2[/tex]
(0, -2) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 1
[tex]f(1) = 1^{3}-2\cdot (1)^{2}-2[/tex]
[tex]f(1) = -3[/tex]
(1, -3) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 2
[tex]f(2) = 2^{3}-2\cdot (2)^{2}-2[/tex]
[tex]f(2) = -2[/tex]
(2, -2) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
x = 3
[tex]f(3) = 3^{3}-2\cdot (3)^{2}-2[/tex]
[tex]f(3) = 7[/tex]
(3, 7) es un par ordenado de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
(0, -2), (1, -3), (2, -2) y (3, 7) son pares ordenados de [tex]f(x) = x^{3}-2\cdot x^{2}-2[/tex].
Solve the inequality –7x > 21. What is the graph of the solution?
Answer: X
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
–7x > 21
divide each side by -7, remembering to flip the inequality
-7x/-7 < 21/-7
x < -3
open circle at -3, line going to the left
What is the midpoint of AB
Answer:
4
Step-by-step explanation: midpoint means between so from 1 to b the midpoint is 4
What is the value of s?
Answer:
<o=180-132=48
so,<s=24(The angle at the circumference is half of its corresponding angle at center)
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant.
Answer:
0 < k < 2
Step-by-step explanation:
In the first quadrant both of x and y get positive values, so
x > 0 and y > 0x = 2k, k > 0And replacing x with 2k in the second equation:
3x + 2y = 123*2k + 2y = 122y= 12 - 6ky = 6 - 3kSince y > 0:
6 - 3k> 02 - k > 0k < 2Combining both k > 0 and k < 2, we get:
0 < k < 2Answer:
0 < k < 2
Step-by-step explanation:
The intersection will lie in the first quadrant when the solution has the characteristics: x > 0, y > 0.
For x > 0, we require ...
x = 2k
x > 0
2k > 0 . . . . substitute for x
k > 0 . . . . . divide by 2
__
For y > 0, we require ...
y = (12 -3x)/2
y = (12 -3(2k))/2 = 6 -3k . . . . . substituted for x and simplify
y > 0
6 -3k > 0 . . . . . . substitute for y
2 -k > 0 . . . . . . . divide by 3
k < 2 . . . . . . . . . add k
So, the values of k that result in the intersection being in the first quadrant are ...
0 < k < 2
This year, Perez’s Ski Shop had a profit of $80,000. This is 250 percent of last year’s profit. What was the profit of Perez’s Ski Shop last year?
Answer:
$32,000 was the profit last year.
Step-by-step explanation:
Answer:
The answer is 32000 profit
Step-by-step explanation:
I just did quiz hope it helps :)
(-5) + (-4) can some answer this problem please!
Answer:
-9
Step-by-step explanation:
Two negatives when adding them together make a negative.
Answer:
(-5)+(-4) = -9
Step-by-step explanation:
You start at -5 then when you add -4 you go 4 back from -5. which bring you back to -9-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
<------------
Mary needed capital for her bakery. She borrowed $60 000 for 4 years at a simple interest rate of 8% per year. How much money will Mary pay at the end of 4 years?
Answer:
$ 79600
Step-by-step explanation:
interest=prt (p is the amount borrowed, r is the rate, t is the time)
p=60000 , r=8%=0.08 , t=4 years
interest=60000*0.08*4
A=19600
the amount paid at the end of 4 years: 60000+19600=$79600
reciprocal of x is 0.25, reciprocal of y is 10. work out value of xy
Answer:
xy = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Given the reciprocal of x is 0.25, that is [tex]\frac{1}{4}[/tex] then
x = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4
Given the reciprocal of y is 10 then
y = [tex]\frac{1}{10}[/tex]
xy = 4 × [tex]\frac{1}{10}[/tex] = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]
Answer:
2/5=0.4
Step-by-step explanation:
[tex]\frac{1}{x}\\[/tex]=0.25 ==> x=4
[tex]\frac{1}{y}\\[/tex]=10 ==> y=1/10
Now multiply both x and y
xy=4(1/10)=2/5=0.4
The school population for a certain school is predicted to increase by 60 students per year for the next 13 years. If the current enrollment is 900 students, what will the enrollment be after 13 years?
Answer:
1,680
Step-by-step explanation:
If the population is increasing by 60 for the next 13 years, we must multiply 60 and 13 to get 780.
Then, we just add 780 to the original population to get 1,680!
The enrollment after 13 years will be 1680.
We have a whose school population is predicted to increase by 60 students per year for the next 13 years. Current enrollment in that school is 900 students.
We have to determine the enrollment be after 13 years.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to question, we have -
Initial population P(i) = 900
Assume the population after the n years is P(n).
Number of students enrolled in 'n' years will be = 60n
Therefore, the following equation can be used -
P(n) = P(i) + 60n
For n = 13 years
P(13) = 900 + 60 x 13 = 900 + 780 = 1680
Hence, the enrollment after 13 years will be 1680.
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