Answer:
b) 7.89*10^4
c) 3.15*10^3
Step-by-step explanation:
2-42)
the coefficient in scientific notation (the number that is not 10^x) has to be greater or equal to 1 and less than 10. so c and b are incorrect.
b) 0.789*10^5
c) 31.5*10^2
b) 0.789*10^5
in order to make 0.789 greater than 1, I would just multiply it by 10. shown below
=0.789*10*10*10*10*10
=7.89*10*10*10*10
=7.89*10^4
c) 31.5*10^2
same concept but this time divide by 10 to make 3.15 which will add another *10 to the exponent
=31.5*10*10
=3.15*10*10*10
=3.15*10^3
Answer:
Step-by-step explanation:
I forgot
PLEASE HELP I GIVE BRAINLIEST!! Find the value of x
Answer: x = 24
Step-by-step explanation:
There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.
We add 94 and 41 together, and this gives us 135.
Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.
This gives us 45, and now we can calculate for x using the same method we used above.
111 + 45 = 156
180 - 156 = 24
Thus, x is equal to 24 degrees.
order of operations. please help!
Answer:
5
(40+24)=64
64÷8=8
(2^2-1)=3
8-3=5
Name the marked angle in 2 different ways.
Answer:
∠ RQP or ∠ PQR
Step-by-step explanation:
When naming the angle the vertex always goes in the middle of the 2 legs
Answer:
∠Q
∠RQP
∠PQR
Step-by-step explanation:
Brainliest, please!
Is this relation a function?
Answer:
A
Step-by-step explanation:
for it to be a function every x value must have at most 1 y value, therefore it is option A as this requirement is met
help please! how do I calculate the coordinates of point a so that at is an altitude?
Part (a)
Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.
We'll need to find the slope of line RI, so we'll need the slope formula
R = (x1,y1) = (-2,-2)
I = (x2,y2) = (4,1)
m = slope of line RI
m = (y2-y1)/(x2-x1)
m = (1-(-2))/(4-(-2))
m = (1+2)/(4+2)
m = 3/6
m = 1/2
m = 0.5
The slope of line RI is 1/2 or 0.5
Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.
Turn to point slope form
y - y1 = m(x - x1)
y - (-2) = 0.5(x -(-2))
y + 2 = 0.5(x + 2)
y + 2 = 0.5x + 1
y = 0.5x + 1 - 2
y = 0.5x - 1
This is the equation of line RI. We'll use it later.
----------
We found that the slope of line RI was 1/2.
The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.
The perpendicular slope is -2. This is the slope of altitude AT.
We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.
We'll turn to the point slope form
y - y1 = m(x - x1)
y - 4 = -2(x - (-2))
y - 4 = -2(x + 2)
y - 4 = -2x - 4
y = -2x - 4 + 4
y = -2x
The equation of the line that goes through points A and T is y = -2x.
----------
To summarize so far, we have these two equations
y = 0.5x - 1 .... equation of line RIy = -2x .... equation of line ATApply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.
y = 0.5x - 1
-2x = 0.5x - 1
-2x-0.5x = -1
-2.5x = -1
x = -1/(-2.5)
x = 0.4
Then we can determine y like so
y = -2x
y = -2(0.4)
y = -0.8
Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.
Answer: (0.4, -0.8)===============================================================
Part (b)
To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.
A = (x1,y1) = (0.4, -0.8) ... found back in part (a)
T = (x2,y2) = (-2, 4) ... given
[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]
The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.
Answer: 5.37 unitsa number y cubed plus x squared decreased by 7
Step-by-step explanation:
It is read thus Y^3+X^2-7
The equation form from the given statement would be Y^3 + X^2 - 7.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
We have been given a statement as;
"A number y cubed plus x squared decreased by 7".
So, the equation form would be
Y^3 + X^2 - 7
Learn more about expression here;
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The complete question is
"A number y cubed plus x squared decreased by 7". write the expression.
Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?
Answer:
I'm pretty sure it is 3 hours.
Step-by-step explanation:
Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The mean is also known as the ________________.
A. average
B. central value
C. middle
D. center
Answer:
A. Average
Step-by-step explanation:
The mean is when we take the sum of all the numbers, and divide it by the total amount, giving us the average value of the group.
Answer:
Average
Step-by-step explanation:
It is average because ,the total number of tally is divided by the number of people or item
Which distance measures 5 units?
W
х
Y
NO
-
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
the distance between points W and X
the distance between points X and Y
the distance between points X and Z
the distance between points Y and Z
The distance between points W and X is exactly 5 units.
Which distance measures 5 units?
To know this, we need to see between which pair of two points we have 5 units.
By looking at the number line, we can see that the pair of points that is 5 units apart is W and X.
We have:
W = -8X = -3Taking the difference, we get: X - W = -3 - (-8) = 5
If you want to learn more about distances:
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what is the area in square inches of the shape below. 3.9 in. 9.6 in. HELP QUICK
[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: base \: \times \: height }}}}}\end{gathered}[/tex]
Base = 9.6 inHeight = 3.9 in[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 9.6 \:in \: \times \: 3.9 \: in[/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 37.44 \: {inches}^{2} [/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{37.44} \: {inches}^{2} \: \: ^{\bf{\red{ 18.72 \: {inches}^{2} }}} [/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: 18.72 \: {inches}^{2} [/tex]
2^4=(a-b) rewrite as a logarithmic equation
Answer:
log 2 (a−b)=4Step-by-step explanation:
Please help explanation if possible
I needed help on this
Answer:
Step-by-step explanation:
Let Freda's sum = x
Donnie has 3/4 x
He spends 63 dollars. His sum is now
3/4x - 63
Now the equation looks like this
6(3/4x - 63) = x Remove the brackets
6*3/4 x - 378 =x
6 * 3/4 = 4 1/2
4 1/2 x - 378 = x Add 378 to both sides
4 1/2 x = x + 378 Subtract x from both sides
3.5 x = 378 Divide by 3.5
x = 378 /3.5
x = 108
Since x = 108, that's how much Freda had. (She spent nothing).
What is the slope of the line joining (15, 12) and (9, 4)
[tex]\\ \sf\longmapsto Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{4-12}{9-15}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{8}{6}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{4}{3}[/tex]
Express as index form
log 2 64 = 6
Answer:
64 = 2^6
Step-by-step explanation:
The conversion method for log is:
log (b) a = x
then you rearrange it into:
a = b^x
(these are all variables, so you can insert the numbers)
-7α + 28 = 7
please help
Answer:
-7α + 28 = 7
-7α + 28 - 28 = 7 - 28
-7α = -21
α = -21/-7
α = 3
The value of α is 3.90 is 30% of what number
Answer:
300
Step-by-step explanation:
Is means equals and of means multiply
90 = 30% *n
90 = .3n
Divide each side by .3
90/.3 = n
300 = n
I have 5 digits.My eight is worse 8000. One of my sixes is worth 60.The other is worth 10 times as much.My other digit is a zero
Answer:
i think its 58,660
Step-by-step explanation:
Answer:
58,660
Step-by-step explanation:
Help???
Find the value of x.
A.74
B.84
C.48
D.148
Answer:
A
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
minor arc = 360° - 254° = 106° , then
x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A
The value of angle x will be 74°. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.
Then the measure of the minor arc will be
⇒ 360° - 254°
⇒ 106°
We know that the angle made by the tangent is half of the major arc to the minor arc.
x = (254° - 106°) / 2
x = 148° / 2
x = 74°
The value of angle x will be 74°.
Then the correct option is A.
More about the circle link is given below.
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Find the length of the third side. If necessary, write it in simplest radical form.
Answer:
a = sqrt(7)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 +3^2 = 4^2
a^2 +9 = 16
a^2 = 16-9
a^2 = 7
Taking the square root
a = sqrt(7)
6(3+2) please help me if
Answer:
[tex]30[/tex]
Step-by-step explanation:
[tex]6(3 + 2) \\ = 6(5) \\ = 30[/tex]
Hope it is helpful....
HELP PLZ!! Convert 80 mph (miles per hour) to feet per second.
Answer:
117.33333 feet per second
Step-by-step explanation:
1 pts
Angel has 17 positive tiles and 13 negative tiles. What is the sum when all zero pairs are removed?
Answer: I believe the answer to your question is 4
Step-by-step explanation:
Let's check
a be positive tiles and b be negative tiles
a=+17b=-13Sum
a+b17-13+4
Brianna made cookies. She used 5/8 of a cup of flour and 1/2 of a cup of sugar. How much more flour than sugar did Brianna use?
Write your answer as a fraction or as a whole or mixed number
Answer:
She used 1/8 or 12.5% more flour than sugar
Step-by-step explanation:
flour: 5/8
sugar: 1/2 = 4/8
[tex]\frac{5}{8} - \frac{4}{8} = \frac{1} {8} = 0.125[/tex]
0.125 = 12.5%
Round each to the nearest cent.
$21.277
$967.46
Answer:
21.28 and 967.46
Hope it helps have a good night :)))))))))))))))))
30 POINTS
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
40.
PLEASE GIVE EXPLANATION
Answer:
3.61%
Step-by-step explanation:
Mathematics, calculator
Answer:
Step-by-step explanation:
If we are looking for the probability that the battery lasts between 7 and 8 years, we find the z-score for the probability that it lasts less than 8 years, and then subtract from it the z-score for the probability that it lasts less than 7 years. This subtraction will give you what's left: the span in between 7 and 8 years. To find the z-score:
[tex]z=\frac{x_i-\mu}{\sigma}[/tex] Therefore,
P(x < 8) has a z-score of
[tex]z=\frac{8-5}{1.2}=1.667[/tex] The p-value that accompanies this z-score is .99379 (which translates to 99.379% of the data falling below 8 years) and
P(x < 7) has a z-score of
[tex]z=\frac{7-5}{1.2}=2.5[/tex] The p-value that accompanies this z-score is .95224 (which translates to 95.224% of the data falling below 7 years).
Subtract the p-value of 2.5 from the p-value of 1.667 to get
.99379 - .95224 = .04155 = 4.16%, choice A.
10. solve for x please help!!
Answer:
If you like my answer than please mark me brainliest
can anyone help me please ?
Basically, everything except choice A.
=========================================================
Explanation:
All exponential functions can be written into the form y = a*b^x
The b term determines if we have growth or decay.
If 0 < b < 1, then we have decay. If b > 1, then we have growth.
------------
For choice A, we have b = 1.7 which satisfies b > 1. This represents growth. So we cross choice A off the list.
Choice B looks almost identical since it appears b = 1.7 here as well, but note the negative exponent. It might help to rewrite choice B into y = 3( 1.7^(-2) )^x and note how b = (1.7)^(-2) = 0.346 approximately. This represents decay.
Choice C has b = 1/3 = 0.33 approximately which is also decay.
Finally, choice D has b = 2^(-1) = 1/(2^1) = 1/2 = 0.5 which is also decay.
Choices B through D have b values such that 0 < b < 1.
------------
Check out the graph below. It visually confirms the answers mentioned earlier. A growth function goes uphill as we move to the right, while a decay function moves downhill while moving to the right.
I used GeoGebra to make the graph.
Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers
A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2
Can someone please help me with these 3 questions and help me check my work?
Answer:
18. [tex] x = 8 [/tex]
19. [tex] c = 9 [/tex]
20. [tex] d = \sqrt{10} [/tex]
21. 83 1/3 ft
22.
a. decay
b. growth
c. decay
Step-by-step explanation:
18.
[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]
[tex[ \sqrt{x + 1} = 3 [/tex]
Square both sides.
[tex] x + 1 = 9 [/tex]
[tex] x = 8 [/tex]
19.
[tex] a^2 + b^2 = c^2 [/tex]
[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]
[tex] 75 + 6 = c^2 [/tex]
[tex] 81 = c^2 [/tex]
[tex] c = 9 [/tex]
20.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]
[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]
[tex] d = \sqrt{1 + 9} [/tex]
[tex] d = \sqrt{10} [/tex]
21.
Max: 5 ft tall; 3 ft shadow
Building: x ft tall; 50 ft shadow
5 ft is to 3 ft as x ft is to 50 ft
5/3 = x/50
3x = 250
x = 250/3
x = 83 1/3
Answer: 83 1/3 ft
22.
Exponential function:
y = a(b)^x
b is the number in parentheses raised to exponent x.
If b > 1, it is growth.
If b is between 0 and 1, it is decay.
Look at each case.
a. 0.85 is between 0 and 1: decay
b. 1.025 > 1: growth
c. 0.682 is between 0 and 1: decay