Answer:
x = -9/2
Step-by-step explanation:
64 = 2^6
if you have the same base, you can set the exponents equal and solve for x.
-2x-3 = 6
-2x = 9
x = -9/2
good luck on your final! you got this!
Step-by-step explanation:
[tex] {2}^{ - 2x - 3} = 64[/tex]
first, get 64 to a base of 2
[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]
now we can drop the bases
[tex] - 2x - 3 = 6[/tex]
And now we can solve it like any other equation
[tex] - 2x = 6 + 3[/tex]
[tex] - 2x = 9[/tex]
[tex]x = - \frac{9}{2} [/tex]
Lightning struck seven times in four minutes during a storm. On average, the next storm had lightning strikes two more times per minute than the first storm. How many times did lightning strike in six minutes of the second storm?
Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.
First Storm
7/4= 1.75 strikes per minute
Second Storm
1.75+2=3.75
3.75*6=22.5 strikes in the second storm
Answer
so uh
Step-by-step explanation:
thats how to solve
PLEASE HELP ME I'M FAILING MATH-
Select the correct texts in the passage. Julian factored the expression
[tex] {2x}^{4} + {2x}^{3} - {x}^{2} - x[/tex]
His work is shown. At which step did Julian make his first mistake, and which statement describes the mistake?
[tex]julian \: should \: have \:factored \:( {2x}^{2} - 1) \: as \: a \: difference \: of \: squares \: \\ \\ julian \: incorrectly \: factored \: - 1 \: from \: the \: second \: group \: of \: terms \: \\ \\ julian \: should \: have \: factored \: 2x \: from \: all \: terms \: instead \: of \: x \: \\ \\ julian \: incorrectly \: factored \: {2x}^{2} \: from \: the \: first \: group \: of \: terms[/tex]
Julian factored the expression of 2x^4 + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given an expression as;
2[tex]x^{4}[/tex] + 2x³ - x²- x
Step 1;
x(2x³ + 2x²- x − 1)
Step 2;
x (2x² (x + 1)) - 1(x − 1)
Step 3;
x²(2x²-1) (x + 1)(x - 1)
Hence, Julian incorrectly factored -1 from the second group of terms.
we can write the correct factored as;
x (2x²- 1))(x + 1)
Therefore, Julian factored the expression of 2[tex]x^{4}[/tex] + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.
To know more about an expression follow;
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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.
Answer:
The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
Mean (μ) = 2.62, Standard deviation (σ) = 0.4
68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)
95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)
The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%
Find the value of x
Answer:
x = 16°Step-by-step explanation:
[tex]3x + 46 + 93 + 47 + 4x + 62 + 3x = 360 \\ 7x + 248 = 360 \\ 7x = 360 - 248 \\ 7x = 112 \\ x = \frac{112}{7} \\ x = {16}^{o} [/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)
Answer:
85°+8x-1+11x+1=180°(being sum of all angle in a
triangle)
or,85°-1+1+8x+11x=180°
or,84+1+19x=180°
or,85+19x=180°
or,19x=180-85
or,19x=95
or,x=95/19
x=5
Simplify the variable expression below as much as possible.
6x + 1 + 7- 3
Answer:
6X+5
Step-by-step explanation:
Answer:
6x+5
Step-by-step explanation:
6x+1+7-3
6x+(1+7)-3
6x+8-3
6x+5
May I please receive help?
no
.........................................................
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8y - 6x = 56
Answer:
y = 3/4 + 7
Step-by-step explanation:
you must put the equation into the form of y = mx + b
add 6x to both sides and put it in front of the 56
8y = 6x + 56
y must be by itself by x does not so we divide everything by 8
y = 6/8x + 7
we must simplify the fraction 6/8
y = 3/4x + 7
Prove that APQR ~ ASTU
Thats how i do it ....i dont know about others
Amy is solving the equation using the steps shown.
Which could be the correct next step in solving the equation?
Subtract 2 from both sides of the equation to yield (x 2 – 16) = 0.
Subtract 2 from both sides of the equation to yield (, x , 2, – 16) = 0.
Multiply (x 2 – 16)(x + 2) on the left side of the equation to yield x 3 + 2x 2 – 16x – 32 = 0.
Multiply (, x , 2, – 16)(, x, + 2) on the left side of the equation to yield , x, , 3, + 2, x, , 2, – 16, x, – 32 = 0.
Factor (x 2 – 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
Factor (, x , 2, – 16) on the left side of the equation to yield (, x, + 4)(, x, – 4)(, x, + 2) = 0.
Add 16 to both sides of the equation to yield x 2(x + 2) = 0.
Add 16 to both sides of the equation to yield , x , 2, (, x, + 2) = 0.
The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]
The possible next steps are:
1. Expand the equation as follows
[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]
2. Express x^2 -16 as a difference of two squares as follows
[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]
Read more about equations at:
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Erin is volunteering at a soup kitchen. At the start of her shift, she is provided with a 16.3-
ounce jar of peanut butter. She uses it to make peanut butter sandwiches, each with 0.8
ounces of peanut butter. How much peanut butter will be left after Erin makes 20
sandwiches?
Answer:
0.3
Step-by-step explanation:
total:16.3
20*0.8=16 (amount she will use)
16.3-16=0.3
Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
in the diagram below, what is the value of X?
Answer:
x=15
Step-by-step explanation:
Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.
help on both
please !!!
don't give me irrelevant answers pls
Answer:
< 1 is 85
X= 50
Step-by-step explanation:
ok the first question has 2 angles given 60 and 65
consider this one shows a 90 degree angle and the other does not. so 60 plus 90 equals 150 degrees
the u must say 65 plus x (x being angle 1) must also equal 150
subtract 65 from 150 and you get 85
now the second problem lets use the
Exterior Angle Theorem
The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
using this we know the 40 degree angle and 2x + 20 equals 3x plus 10
so we subtract 10 degrees from both sides and get
2x plus 10 plus 40 equals 3x now this means x equals 10 plus 40 which is 50
What is the distance between the following points
answer choices
A 85
B 90
C 11
D 12
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]
with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )
d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]
= [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]
= [tex]\sqrt{9^2+4}[/tex]
= [tex]\sqrt{81+4}[/tex]
= [tex]\sqrt{85}[/tex]
PLEASE HELPP WITH THIS QUESTION!!!!!
Answer:
y=-3/2x
Step-by-step explanation:
y=mx + b
First find slope, here we take 2 points
(0,0) and (2, -3)
m = (-3-0)/(2-0)
m = -3/2
Find B which is 0 since it hits (0,0) which is a y intercept when x= 0
Therefore equation is:
y=-3/2 x
Here ya go bestie. Your favorite :D
Answer:
the answer is d
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME
Answer:
x and y are both equal to 57.5°
Step-by-step explanation:
180° - 65° = 115°
115 ÷ 2 = 57.5
Find the side lengths in the following triangle.
Answer:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
What is the intersection of plane AEH and plane EGH?
Answer:
E
Step-by-step explanation:
Hope this helped
B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.
Answer:
60% Increase
Step-by-step explanation:
Ayesha scored 5 more goals over her previous goal count of 8. That means:
(5/8) = 0.60 or 60% increase.
A 60% increase means a factor of 1.6 (1 + 0.6)
(8 goals)*(1.6) = 13 goals
Answer:
13 _18= 5
5/13×100%=38.46%
Ain.
1.5 ft.
0.5 it.
What is the surface area of the figure in square inches help
[tex]\\ \sf\Rrightarrow LSA=2(h)(l+b)[/tex]
[tex]\\ \sf\Rrightarrow LSA=2(18)(6+4)[/tex]
[tex]\\ \sf\Rrightarrow LSA=36(10)[/tex]
[tex]\\ \sf\Rrightarrow LSA=360in^2[/tex]
Pls
Help sue tmr pls pls pls
Step-by-step explanation:
3.
the net of a cylinder looks like a rectangle with two circles attached at opposite ends. we also define a base radius for the cylinder as the radius of the base, and the height of the cylinder as the distance between the bases.
in other words, imagine you cut open a soda can (and leave the top and bottom just a little bit attached - don't cut them off completely).
the mantle turns into a rectangle. and the base and top are two circles. the length of the rectangle is the circumference of one of the circles (2×pi×r), and the width of the rectangle is the height of the original can.
4.
remember what you did when calculating the size of the area of a square ? or a rectangle ?
in each case it is in principle length×width.
and we expressed an area not in units of e.g. cm but in cm², because we simply said how many little squares of 1 unit side length fit into the area.
now, for the volume, we apply the same principle and simply add a third dimension.
we express a volume not in cm² squares but in cm³ cubes, saying how many such little cubes fit inside.
a cube with 5 cm side length has therefore a volume of
5×5×5 = 5³ = 125 cm³ (= 125 little cubes of 1cm side length).
5.
this is simply a box, a 3-dimensional rectangle.
similar to 4. fit the volume we just multiply now so 3 dimensions :
6×7×9 = 378 cm³ (= 378 little cubes of 1cm side length).
Distance between two points (−5,−5) and (-9, -2)
Answer: 5
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5
Does anyone know or understand how to do this?
Answer:
32 degrees
Step-by-step explanation:
lets assume a point K on top of M and giving the the measure of <KMN = 90 degree.
let LMP be x
KML = 90 - 79 = 11
x = 90-11-47 = 32
thus, <LMP is 32 degrees
PLEASE HELP!! BRAINLIEST ASAP
(i put 4 for the last one cause thats the answer, but please, all im asking is for the correct answers for 2 blanks!!)
Answer:
12+16 = 2(10+4)
Step-by-step explanation:
12+16 = 2(10+4)
Hellp! To get points!
Answer:
your answer would be B.
Step-by-step explanation:
for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8
Answer:
b 7/8
Step-by-step explanation:
your gonna change everything to eights
y=2x + 4
y = 2(x + 2)
what is x
Answer:
I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well
Step-by-step explanation:
1.)
y=2x+4
-subtract 4 on both sides-
y-4=2x
-divide 2 on both sides-
x=y-4/2
2.)
y=2(x+2)
-distribute the 2-
y=2x+2
-subtract 2 on both sides-
y-2=2x
-divide 2 on both sides-
x=y-2/4
I dont know exactly if this is correct, but i hope it helps! :)
yall i need help asap! its due in 1hr!!
Answer:
for number 6 2x
for number 7 8
Step-by-step explanation:
Answer:
6. 8x+3x-9x= 2x
7. 2x-3=13
or, 2x=13+3
or, 2x=16
or, x=16/2
Therefore, x=8
To find the surface area, Brad splits the figure into two pieces, the rectangular prism and
the triangular prism.
He finds the total surface area of the rectangular prism by finding the area of each face
to get 1,104 cm
He then finds the total surface area of the triangular prism by finding the area of each
face to get 1,008 cm
Finally, he adds the surface areas together to get 2,112 cm.
Is Brad's solution correct? Why or why not?
Select the option that correctly answers both questions.
No, he did not find the correct total surface area for the triangular prism.
O No, he did not find the correct total surface area for the rectangular prism.
No, he needs to subtract the areas of the faces where the two prisms are
attached
Yes, he correctly found the sum of the surface areas for each prism.
The surface area of the figure is the amount of area covered by the figure.
The figure is not given, so I will give a general solution.
The method followed by Brad to calculate the surface area of the prism is correct.
However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.
So, the conclusion is that:
If Brad's calculation of the surface areas of the prisms is correct, then the surface area of the figure is correct because 1104 + 1008 = 2112.If otherwise, then the solution is incorrectRead more about surface areas at:
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