Which equation is equivalent to 2^4x = 8^x-3?
Answer:
x=-3
Step-by-step explanation:
2^4x = 8^x-3
writing 8 as 2^3
2^4x = 2^3^x-3
We know a^b^c = a^(b*c)
2^4x = 2^(2*(x-3))
2^4x = 2^(2x-6)
The bases are the same so the exponents are the same
4x = 2x-6
Subtract 2x from each side
4x-2x= 2x-6-2x
2x=- 6
Divide by 2
2x/2 = -6/2
x = -3
Give the domain and range.
Answer:
D
Step-by-step explanation:
The domain is the x coordinates which are {-2,0,2}
Answer:
D = { -2, 0 2}
R = { -3,-1 ,1 }
Step-by-step explanation:
The domain is the input or x values
D = { -2, 0 2}
The range is the output or y values
R = { -3,-1 ,1 }
Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?
Answer:g = 50 g
Step-by-step explanation:
She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.
x = grams required by the recipe
80 g = 1.60x
x = (80/1.60) g = 50 g
Determine the constant of variation for the direct variation given
2
1
1/2
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please Help!!!! Braniest will be given!!!!
Find the slope of the line through the given points.
(-3,6) and (1,2)
Answer:
m= -1
Step-by-step explanation:
hope this helps :)
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]
The mileages of cars in a fleet of cars are normally distributed with a mean mileage of 52,000 miles and a standard deviation of 2,000 miles. What is the probability of randomly selecting a car with a mileage less than 52,000 miles?
Answer:
50%
Step-by-step explanation:
We have that the mean is 52000 miles (m) and the standard deviation is 2000 miles (sd), so we are asked:
P (x <52000)
P ((x - m) / sd <(52000 -52000) /2)
P (z <0)
If we look in the normal distribution table we have to:
P (x <52000) = 0.5
That is, the probability is of randomly selecting a car with a mileage less than 52,000 miles 50%
Help please! Will give brainly! How are these patterns similar? How are they different? How are the number of dots in each pattern changing? How would you find the number of dots in the 5th step in each pattern?
The external angle of a regular polygon is 200 . How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.
Answer:
An 18 sided shape.
Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon
A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?
Answer:
[tex]\frac{7}{40}[/tex]
Step-by-step explanation:
[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]
[tex]1-\frac{33}{40}[/tex]
[tex]\frac{7}{40}=0.175[/tex]
Answer:
7/40 is still left with him.
Step-by-step explanation:
LCM 5,10,8 = 40
2/5 = (x8) = 16/40 = food
3/10 = (x4) = 12/40 = rent
1/8 = (x5) = 5/40 = other expenses.
16/40 +12/40 + 5/40 = 33/40
40/40 - 33/40 = 7/40
Select the term that does NOT describe the triangle. Select all that apply
acute
Isosceles
Obtuse
Acute is the term which does not describe the given triangle.
In the given triangle with sides 11, 11 and angles 30, 30, 120 degrees:
"Acute" is a not a valid term because all angles in the triangle (30, 30, and 120 degrees) are not less than 90 degrees.
"Isosceles" is a valid term because the triangle has two equal sides (11, 11).
"Obtuse" is applicable because an obtuse triangle have one angle greater than 90 degrees, 120 degrees is greater then 90 degrees.
Therefore, "acute" is the term that does not describe the triangle.
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Which is greater 15/27 or 16/24
Answer:
16/24
Step-by-step explanation:
let’s use the GCF of both which is 3 for 15/27
15/27 divided by 3 is 5/9
for 16/24 the gcf is 8
16/24 / 8 is 2/3
now we have to multiply 2/3 times 3
2/3 times 3 6/3 which is 2
so 16/24 is greater.
What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (5,2) D) (2,-5)
Answer:
B) Vertex = (-5, 2)
Step-by-step explanation:
Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction
We can find vertex by two methods:
1) GRAPHWe can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)
2) FORMULAGeneral form of equation of mod function is given by
y = a |x - h| + k
where Vertex = (h, k)
The given equation is
h(x) = 3 |x + 5| + 2
h(x) = 3 |x - (-5)| + 2
where h = -5 and k = 2
So the vertex is:
Vertex = (-5, 2)
Answer:
(–5, 2)
Step-by-step explanation:
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n
Answer:
0.25n>0.15n+3
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:
0.25n
Where n is the number of miles.
ABC Taxi charges $3 for pick-up and $0.15 per mile
So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)
3+0.15n
To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.
0.25n>0.15n+3
Which correctly describes a cross section of the cube below? Check all that apply.
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
Answer:
check the first one only
Step-by-step explanation:
in a cube, no matter which side it is, there will never be a rectangle, it will all be squares
not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.
Answer:
i think its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value.
We can assume that the time is x, and the temperature is y.
At any time, you do not have more than one temperature.
Can someone help me please
Answer:
B
Step-by-step explanation:
To find DC
c²=a²+b² (pythagorean theory)
c²=6²+8²
c²=36+64. c²=100. √100. c=10cm
thus D =10.
AD= 15-6=9
To find AC
c²=a²+b²
c²=15²+8²
c²=225+64. c²=289 √289. c=17
AC=17
perimeter is the distance around a figure thus ADC=9+10+17
=36
Please check this for me i just learned scientific notation
Answer:
[tex]2.6373 \times 10^4[/tex]
Step-by-step explanation:
The starting number must always be in the ones' place, it cannot be in the tens place. And it must be between 1 and 10.
Answer:you are correct on all ur scientific questions:D
Step-by-step explanation:
So let’s see if ur correct
2(8-5)^2=18 (correct)
2*3^2
2*3*3
18
26.373*10^3=26,373(correct)
26.373*10*10*10
26,373
4^8*4^4= 16777216
4^12= 16777216(Correct)
What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?
Answer:
y=3/2x-2
Step-by-step explanation:
gradient line 1= -2/3
perpendicular meaning gradients when multiplied should be -1
gradient line 2=3/2
y+2=3/2
x-0
y+2=3/2(x-0)
y+2=3/2x-0
y=3/2x-2
The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)
The standard equation of a line is y = mx+c, where m is the slope of the line.
We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,
Therefore, the slope of the asked line is 3/2.
Finding the c,
-2 = 3/2X0 + c
c = -2
Therefore, the equation will be,
y = 3x/2-2
Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2
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Find the volume round to the nearest tenth ( show work)
Answer:
2,144.7
4 x pi x (radius x radius x radius / 3)
4 x pi = 12.5663706
8 x 8 x 8 / 3 = 170.66
12.5663706 x 170.67 =2,144.66 rounded is 2,144.7
Hope this helps
Step-by-step explanation:
HELP ME OUT ON THIS ONE ‘
Answer:
180 degrees rotation
Step-by-step explanation:
you take the. values of the object and multiply by -1 to obtain the values of the image
What are the ratio as a fraction for 4:6
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
or 4 over 6
i think this is right and i hope it helps:DWhat is the midpoint of the vertical line segment graphed below?
Answer:
C.
Step-by-step explanation:
(5+5)/2 = 5, (4 + -5)/2 = -1/2
(5, -1/2)
TFW when you realize you answered two years too late...
Help idk how to do it
Answer:
55
Step-by-step explanation:
The base angles of an isosceles triangle have the same measure
3x+40 = x+50
Subtract x from each side
3x+40-x = x+50-x
2x+40 = 50
Subtract 40 from each side
2x+40-40 = 50-40
2x = 10
Divide each side by 2
2x/2 = 10/2
x = 5
We want angle A
3x+40
3*5 +40
15+40
55
Can anybody tell me the answer to this question in the picture?
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62
Answer:
The answers are A, B and D
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
The volume of the right rectangular prism is 12* 8.5 * 4 = 408 content density is 0.25 pounds
Step-by-step explanation:
What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)
B:(0, 5/3)
C:(0,-2/5)
D:(0,3/5)
E:(0, -2/3)
Answer:
E
Step-by-step explanation:
please help with this question
Answer:
loose sweets
Step-by-step explanation:
Let's find the price of the pre-packed and loose candy per gram, since they specified that you need to calculate the price per gram.
A better value would mean that the price is lower per gram.
pre-packed candies
120g ----- £1.49
1 ----- 1.49 ÷120= £0.0124 (3 s.f.)
loose sweets
100g ----- £0.89
1g ----- £0.89 ÷100= £0.0089
since £0.0089 < £0.0124, the loose sweets cost lesser per gram and thus is a better value.
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The
number b varies directly with the number a. For example b = 2 when a = -2. Which equation represents this direct
variation between a and b?
b = -a
-b= -a
b - a = 0
b(-a)=0
Answer:
b=-a
Step-by-step explanation:
we know that b is located the same distance from 0 as another number, a, but in the opposite direction.
so the sum of the two numbers equal zero
a+b=0
a=-b or b=-a
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than
1/100
1/12
11/100
12/100
Answer:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100
Step-by-step explanation:
1-100 cannot be more than 1 or 1 so the answer is 0/100
1-12 can be maximum 12/100
11/100 does not include 10 therefore 90/100
12/100 does not include 11 therefore 89/100