Answer:
x = 96
Step-by-step explanation:
[tex]log_b \ x = \frac{2}{3}log_b \ 27 + 3log_b \ 2 - log_b \ 3 + \frac{2}{3}log_b \ 64 - log_b \ 4[/tex]
[tex]=\frac{2}{3}log_b \ 27 + 3log_b \ 2 + \frac{2}{3}log_b \ 64 -(log_b \ 3 + log_b \ 4) \\\\=(log_b \ (27)^{\frac{2}{3}} + log_b \ 2^3 + log_b \ (64)^{\frac{2}{3}}) -(log_b \ 3 + log_b \ 4) \\\\=log_b \ ( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}}) -log_b \ (3 \cdot 4) \\\\=log_b \ \frac{( (27)^{\frac{2}{3}} \cdot 2^3 \cdot (64)^{\frac{2}{3}})}{ (3 \cdot 4)} \\\\=log_b (\frac{9 \times 8 \times 16}{3 \times 4})\\\\=log_b (3 \times 8 \times 4)\\\\=log_b \ 96[/tex]
Therefore, x = 96
Click on the area of the square 8 cm
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Length of each side of the square (s) = 8 cm
Area of the square (a) = ?
[tex]a = s {}^{2} \\ a = 8 {}^{2} \\ a = 8 \times 8 \\ a = 64 \: \: cm {}^{2} [/tex]
✐ Area of the square is 64 square centimetres.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Give the values of A, B, and C needed to write the equation's general form.
(5 + x)(5 - x) = 7
1. A = 1; B = 0; C = -18
2. A= -1; B = 0; C = 25
3. A = 25; B = 0; C = -1
Given:
The equation is:
[tex](5+x)(5-x)=7[/tex]
To find:
The value of A, B and C for the equation's general form.
Solution:
We have,
[tex](5+x)(5-x)=7[/tex]
Using distribution property, we get
[tex](5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7[/tex]
[tex]25-5x+5x-x^2=7[/tex]
[tex]25-x^2=7[/tex]
Taking all terms on one side, we get
[tex]25-x^2-7=0[/tex]
[tex]-x^2+18=0[/tex]
[tex]-(x^2-18)=0[/tex]
[tex]x^2-18=0[/tex]
On comparing this equation with the general form of a quadratic equation [tex]Ax^2+Bx+C=0[/tex], we get
[tex]A=1[/tex]
[tex]B=0[/tex]
[tex]C=-18[/tex]
Therefore, the correct option is 1.
A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
What is a unitary method?Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given
Prescription requires 10 mg of tablet.
A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.
We know
1 g = 1000 mg
0.1 g = [tex]x[/tex]
⇒ [tex]x[/tex] × 1 = 0.1 × 1000
⇒ [tex]x[/tex] = 100 mg
10 mg < 100 mg
By using unitary method we can say that
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
Learn more about unitary method here
https://brainly.com/question/22056199
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The total price of 3 chickens and 2 ducks is $27. The total price of 4 chickens and 3 ducks is $38. What is the price of a chicken! What's the price of a duck
3c+2d=27
4c+3d=38
Answer:
5.4
Step-by-step explanation:
3x + 2x = 5x
27 divided by 5 = 5.4
Substitute into both expressions
what is the answer to mbce?
Answer:
b. 130
Step-by-step explanation:
the correct answer is 130
The pressure resulting from a force of 50 N exerted over an area of 5 m2 is (2
marks)
Answer:
[tex]pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} [/tex]
Find the measure of the missing angle
Answer: a=
Answer:
a = 79
Step-by-step explanation:
The two angles from a straight line which is 180 degrees
a+101 =180
Subtract 101 from each side
a = 180-101
a = 79
WHICH IS WARMER -9 OR -12 DEGRESS
Answer:
-9 Degrees is warmer because that number is bigger than -12.
Step-by-step explanation:
Answer:
-9 is warmer
Step-by-step explanation:
Since this negative we want to get closer to zero to be warmer
-12 means you owe 12
-9 means you owe 9
The more you owe means is further away from zero
-12 < -9 <0
I need some help please What's |5| + |–7|?
Answer:
hello there![tex]\left|5\right|+\left|-7\right|[/tex]
[tex]rule =a,\:a\ge 0[/tex]
[tex]|5|=5[/tex]
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a[/tex]
[tex]\left|-7\right|=7[/tex]
[tex]5+7=[/tex]
[tex]12[/tex]
hope this helps you..
If f(x) = 3 – 2x and g (x) = 1/x+5 , what is the value of f/g (8)?
Answer:
-104/41
Step-by-step explanation:
f(8) = -13
g(8) = 41/8
f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41
f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =
= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)
for x=8 this gives the same result.
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 15 years old. If the average age of the children is 12.75 , how old is the youngest child?
Answer:
8 years old
Step-by-step explanation:
oldest= 16
8+12+15+16= 51
51/4 = 12.73 ( average)
Marcus drew a circle on his coordinate plane at (4,3) in which quadrant of the coordinate plane did Marcus draw in the circle?
Answer:
It should be in quadrant 1
Step-by-step explanation:
The quadrants of a coordinate plane can be counted counter-clockwise starting from quadrant 1, if you know the exact point you're trying to find, you can use the x and y to figure out which quadrant it's in.
If the x and y values are both positive, the point is in quadrant 1.
If the x value is negative and the y value is positive, the point is in quadrant 2.
If the x and y values are both negative, the point is in quadrant 3.
If the x value is positive and the y value is negative, the point is in quadrant 4.
Find the Circumference of the circle. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
28.3 cm
Step-by-step explanation:
The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:
2•4.5•3.14 = 28.26 ≈ 28.3 cm
Which expression gives the distance between the points (2, 5) and (-4, 8)?
Answer:
[tex]\sqrt{(y2-y1)^{2} +(x2-x1)^{2} }[/tex]
[tex]\sqrt{9+36}[/tex]
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
Find the value of x in these Complementary Angles
Answer:
Aids
Step-by-step explanation:
AIDS is what ur mom has
Answer:
[tex]x=53\\[/tex]
Step-by-step explanation:
Together they make 90 degrees,
Now, form an equation to solve:
[tex]x+37=90[/tex]
[tex]x=90-37[/tex]
[tex]x=53[/tex]
{CHECK: [tex]53+37=90[/tex]}
hope this helps.....
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer:
190 ft^2
Step-by-step explanation:
So first we need to find which equation we're using and since it's a rectangular prism we're going to use:
2Lw + 2wh + 2Lh
Now what we need to do is plug in the values
2*9*2 + 2*2*7 + 2*9*7
Now just multiply everything and then add it together.
36 + 28 + 126
Once you add everything together you get:
190
The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)
If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:
190 ft^2
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075. Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the program?
Robbin's grade point average must be at least ___ in order to be unconditionally accepted into the program.
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.
This means that:
[tex]x + 100y \geq 1075[/tex]
In which x is the GMAT score and y is the GPA.
Robbin's GMAT score was 800.
This means that [tex]x = 800[/tex]
What must her grade point average be in order to be unconditionally accepted into the program?
We have to solve the inequality for y. So
[tex]x + 100y \geq 1075[/tex]
[tex]800 + 100y \geq 1075[/tex]
[tex]100y \geq 275[/tex]
[tex]y \geq \frac{275}{100}[/tex]
[tex]y \geq 2.75[/tex]
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
y=(x+3)(x-13) the x-intercepts are?
Answer:
the x-intercepts are at (-3,0) and (13,0)
Step-by-step explanation:
I dont think this is college level though :)
Young people often find that playing video games, watching TV, and instant messaging friends can be very relaxing, and can help to alleviate stress in their lives. Apparently, though, it isn't relaxing enough. In a survey of teens at a local high school in Oregon, 42% of them said they need a vacation. Calculate the probability. The probability that a student in this survey says something other than that he or she needs a vacation is
Answer:
The probability that a student in this survey says something other than that he or she needs a vacation is:
= 58%.
Step-by-step explanation:
The probability of the teens at the local high school in Oregon who said that they needed a vacation = 42%,
Therefore, the probability that a student in the same survey says something other than that he or she needs a vacation must be 58% (100% - 42%).
Probability calculates the frequency of the occurrences of an event.
US
Find the circumference of this circle
using 3 for 7
C [?]
1
C = 27
Answer:
[tex]6.283185307[/tex]
Step-by-step explanation:
[tex]Formula - C = 2\pi r[/tex]
[tex]Formula = 2*\pi*1 = 6.283185307[/tex]
Answer:
C≈6
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=1 thus substitute:
[tex] \displaystyle C = 2\pi .1[/tex]
simplify mutilation:
[tex] \displaystyle C = 2\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 2.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 6[/tex]
and we are done!
Write the following phrase as an expression c less than 27
Answer:
27 -c
Step-by-step explanation:
less than means it comes after
27 -c
Answer:
27 - c
Step-by-step explanation:
If something is less by a number then it is that number minus whatever it is less by, thus 27 - c.
In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x
+1. What are the exact measures of the angles?
N
A. m2 MOP= 62
m2 NOP = 62
B. m2 MOP = 61
m 2 NOP = 61
C. m MOP = 48
m2 NOP = 72
D. m2 MOP = 122
m 2 NOP = 122
Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
Diane Renay movie she started the movie at 10:46 p.m. and it was 3 hours and 31 minutes long when did the movie End
Answer:
2:17 am
Step-by-step explanation:
3 hours after 10:46 would be 1:46
1:46 plus 31 minutes is 1:77 but there are only 60 minutes in an hour so 1:77 is 17 minutes after 2:00, or 2:17 am
decide whether each expression is equal to 6 x 3/4. Write an X in the table to respond.
Answer:
6 × ¼ is NOT EQUAL TO 6 × ¾
8 × ²/4 is NOT EQUAL TO 6 × ¾
18/(2 × 2) is EQUAL TO 6 × ¾
Step-by-step explanation:
Given 6 * ¾,
We're asked to determine if each of the given expressions is equal or not equal to 6 * ¾.
Let's evaluate 6 * ¾
6 × ¾ = (6×3)/4 = 18/4 = 4.5
Now, let's compare each expression given to determine if it is equal or not
✔️6 × ¼ = (6×1)/4 = 6/4 = 1.5
Therefore,
6 × ¼ is NOT EQUAL TO 6 × ¾
✔️8 × ²/4 = (8×2)/4 = 16/4 = 4
Therefore,
8 × ²/4 is NOT EQUAL TO 6 × ¾
✔️18/(2 × 2) = 18/4 = 4.5
Therefore,
18/(2 × 2) is EQUAL TO 6 × ¾
Select all the ratios that are equivalent to 4:6.
Group of answer choices
2:3
3:6
16:24
8:18
400:600
Answer:
2:3
16:24
400:600
Step-by-step explanation:
divide 2 and you get 2:3
multiply 4 and get 16:24
multiply 100 and get 400:600
359
110"
350
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angle x?
i think the answer is 35° because the triangles are congruent to each other
Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3
Answer:
66.99 cm³
Step-by-step explanation:
the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3
= 66.99 cm³
You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% ___Find the sale tax
Answer:
tax is 11.50 tax and price is 147
Step-by-step explanation:
you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147
Can someone please help, ty!!
Will mark brainliest!
Answer:
Hello answer: x = 5
Step-by-step explanation:
The pictures a bit blurry but if I read correctly the answer is 5
Hope that helps!
Does anyone know how to solve this equation?
9514 1404 393
Answer:
$80
Step-by-step explanation:
You are given the formula ...
P = I/(rt)
and the values I = 20, r = 0.05, t = 5.
Put the numbers in place of the corresponding variables and do the arithmetic.
P = 20/(0.05·5) = 20/0.25 = 80
The amount $80 will generate $20 in interest over 5 years at 5% per year.