Answer:
x
Step-by-step explanation:
which expression is equivalent to 5^3 select all that apply
a. 5^7 x 5^-4
b. 5^12/5^4
c. 5^1 + 5^2
d. 5^0 x 5^3
e. 5^3 - 5^0
Expressions a, b, and d are equivalent to 5^3. They all follow the laws of exponents, resulting in the same value of 5^3, or 125.
Explanation:The question is asking which expressions are equivalent to 5^3. Let's break down each option:
a. 5^7 x 5^-4: Utilizing the law of exponents, we add the exponents when multiplying the same base, hence we get 5^3. b. 5^12/5^9: According to the law of exponents, we subtract the exponent of the denominator from the exponent of the numerator, which gives us 5^3. c. 5^1 + 5^2: This equals 5 + 25, which is not equal to 5^3 (125). d. 5^0 x 5^3: Any number raised to the power 0 is 1, therefore this equals 5^3. e. 5^3 - 5^0: This equals 125 – 1, which is not equal to 5^3 (125).
So, options a, b, and d are equivalent to 5^3.
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Mike is painting a backdrop for the school play. The rectangular backdrop is 60 inches by 48 inches. If his container of paint can cover 250 square feet, does he have enough paint to cover the backdrop?
Answer:
Yes 240sq ft is only required.
Step-by-step explanation:
60 x 48 =2880 inch square
We convert to feet 1 ft = 12 inches
2880/12 = 240sq ft
Assessment started: undefined. Item 1 Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89. How much money does Rosa spend altogether? Enter your answer in the box
Answer:
8.68?
Step-by-step explanation:
adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend
Answer:
The answer is 8.64
Step-by-step explanation:
It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!
Which numbers are represented by points on the following number line?
Answer:
-7, -2, 1, 6
Step-by-step explanation:
The points that are on the number line are: -7, -2, 1, 6
Answer: -7, -2, 1, 6
Answer:
-7, -2, 1, 6
Step-by-step explanation:
what is between 1 1/2 and 2 1/2
Answer:
4
Step-by-step explanation:
we add them then divide 2
(11/2+2 1/2)/2
Solve the quadratic equation: 3x2 + x - 5 = 0
Hey there!
[tex]3x^2 + x -5 = 0[/tex]
This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].
We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.
a = 3, b = 1, c = -5
Let's plug these values into the quadratic equation:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]
Multiply 4(3)(-5) together and multiply 2(3). Square 1.
[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]
Add 1 and 60.
[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]
This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.
Hope this helps!
are 2/5 and 8/15 a ratios equivalent
Hey There!
The answer you are looking for is:
False, they are not equivalent.
Explanation / Work
First convert 2/5 into the same 'value' as 8/15
2/5 -> 4/10 -> 6/15.
As you can see, 6/15 is not the same as 8/15.
Meaning they are not equivalent.
Hope I helped! Please rate 5 stars and brainliest!
What are the zeros of the quadratic function shown on the graph?
A) 3 and 2
B) −3 and 2
C) 3 and −2
D) −3 and −2
A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?
Average speed of the car is 29.85 miles/hr
Step-by-step explanation:
Step 1: Calculate speed when distance = 20 1/2 = 20.5 miles and time = 2/3 hr = 0.67 hrs.Speed = Distance/Time
= 20.5/0.67
= 29.85 miles/hr
In an apartment building, 45% of
the families have pets. If 27 families
have pets, how many families live in
the building?
Answer:
60 people
Step-by-step explanation:
27/.45=60
in a equation like 81x^3 +9x^2+3x what would I do to the exponents. And also please solve.
Answer:
3x(27x^2+3x+1)
Step-by-step explanation:
ayou take out the GCF-greatest common factor and then factor it
Answer:
(3x + 1)2 • (3x - 1)2
Step-by-step explanation:
A spinner has 6 equal sections : purple,yellow,blue,green,orange,and red. What is the probability of landing on a section that is NOT orange (in fraction form)
Find the exact area of the region bounded by two concentric circles with radli 10 inches and 6 Inches.
16pi
64pi
88pi
For this case we have that by definition, the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle
Circle 1:
[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]
Circle 2:
[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]
Thus, the area of the region bounded is given by:
[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]
Answer:
[tex]64 \pi \ in ^ 2[/tex]
Option B
Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
y= 2x+2
+ • 2.6)
+ (1.4)
(0.2)
The equation [tex]y=2x+2[/tex] is a function
Explanation:
Given that the graph contains the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex]
We need to determine whether the equation [tex]y=2x+2[/tex] is a function.
To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.
Let us substitute the coordinate [tex](-1,0)[/tex] in the equation [tex]y=2x+2[/tex]
Thus, we have,
[tex]0=2(-1)+2[/tex]
[tex]0=-2+2[/tex]
[tex]0=0[/tex]
Thus, the coordinate [tex](-1,0)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](0,2)[/tex] in the equation, we have,
[tex]2=2(0)+2[/tex]
[tex]2=2[/tex]
Thus, the coordinate [tex](0,2)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](1,4)[/tex] in the equation [tex]y=2x+2[/tex]
[tex]4=2(1)+2[/tex]
[tex]4=4[/tex]
Thus, the coordinate [tex](1,4)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](2,6)[/tex] in the equation, we get,
[tex]6=2(2)+2[/tex]
[tex]6=6[/tex]
Thus, the coordinate [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Hence, the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Thus, the equation [tex]y=2x+2[/tex] is a function.
Can someone help me with this? I don’t need an explanation I just need the answer thank you :)
Answer:
87.92 in²
Step-by-step explanation:
pi × (R² - r²) = area
Where R is the radius of the outer circle and r of the inner circle.
Since C = 2pi×r
37.68 = 2×3.14×r
r = 6 in
R = 6 + 2 = 8 in
Therefore,
pi × (R² - r²) = area
Area = 3.14 (8² - 6²)
= 87.92 in²
Two angles are vertical angles. One angle
measure is 68. What is the measure of
the other angle?
A. 22°
B. 68°
C. 90°
D. 112
In the context of geometry, vertical angles are always congruent, which means they have the same measure. If one of the vertical angles measures 68°, the measure of the other angle is also 68°. Therefore, the correct answer is B. 68°.
Explanation:The question is asking for the measure of the second angle, given that two angles are vertical angles and one of them measures 68°. In terms of geometry, vertical angles are the angles that are opposite each other when two lines intersect. An important property of vertical angles is that they are always congruent, which means they have the same measure. So, if one of the vertical angles is 68°, the other angle is also 68°. Hence, the correct answer is B. 68°.
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Since vertical angles are always congruent, the measure of the other angle is also 68°.
The question involves identifying the measure of the other angle when two angles are vertical angles. Vertical angles are angles that are opposite each other when two lines intersect. They are always equal to each other in measure.
Given that one angle measures 68°, the other angle, being a vertical angle, will also measure 68°.
Therefore, the correct answer is: B. 68°
what is the missing cotangent data (cot) in the picture?
Step-by-step explanation:
Look at the picture.
Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.
You write the function values but for the angle 180° - θ.
[tex]\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta[/tex]
Therefore
for
[tex]x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]
Let θ be this angle in your picture.
[tex]\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}[/tex]
can someone help with 9-14
Answer:
5
Step-by-step explanation:
Subtraciting
Answer:
If your asking what 9 - 14 is, than you would get a negative number.
9 - 14 = -5
Step-by-step explanation:
If you have any questions, please let me know.
Syd has $125 in her bank account. She makes a withdrawal of $75. How much does she have now.
Answer:
$50
Step-by-step explanation:
$125 - $75 = $50!
If the policy premium on a 30 year $1,000,000 term life policy for a 35-year-old female is increased to $714, what is the percent increase in price?
A) 3%
B) 5%
C) 6%
D) 7%
What is the volume, in cubic feet, of a cylinder with a height of 16 feet and a base radius of 3 feet, to the nearest tenths place?
Answer:
452.39 feet³
Step-by-step explanation:
In the attached file
Answer:
452.4
Step-by-step explanation
π·r²·h
π·3²·16
π·9·16
π·144
452.38
round that up to the tenths place it's 452.4
A square has a perimeter of 32 inches what the length and width of the square
The length and width of square is 8 inches.
Step-by-step explanation:
Given,
Perimeter of square = 32 inches
We know that all sides of square are equal, therefore,
Length = width = s
Perimeter of square = 4s
[tex]32=4s\\4s=32[/tex]
Dividing both sides by 4
[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]
Therefore,
The length and width of square is 8 inches.
Final answer:
The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.
Explanation:
To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:
32 inches ÷ 4 = 8 inches.
Therefore, each side of the square is 8 inches long.
5/4623
Please I need answers as soon
Answer: 0.00108154877
Step-by-step explanation:
The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Given the expression [tex]\frac{5}{4623}[/tex] ,
[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.
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What is the value of 10^3 x 0.006?
Answer:
6
Step-by-step explanation:
10^3 = 1000
1000 x 0.006 = 6
Solve for b.
7b = 35
Answer:
b = 5
Step-by-step explanation:
to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.
Answer:
[tex]b = 5[/tex]
Step-by-step explanation:
[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]
Which expression represents x2−12x+36 in factored form?
The factored form of given is:
[tex]x^2 - 12x + 36 = (x-6)(x-6)[/tex]
Solution:
Given that,
[tex]x^2 - 12x + 36[/tex]
We have to find the factored form
From given,
[tex]x^2-12x+36\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\x^2-12x+6^2\\\\\mathrm{Rewrite\:}12x\mathrm{\:as\:}2x\cdot \:6\\\\x^2-2x\cdot \:6+6^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\\\a=x,\:b=6\\\\Therefore,\\\\x^2-12x+36 = \left(x-6\right)^2\\\\Which\ is\\\\x^2-12x+36 = (x - 6)(x - 6)[/tex]
Thus the given expression is factored
Final answer:
The expression x²−12x+36 is factored as (x-6)(x-6) or (x-6)².
Explanation:
The expression x²−12x+36 represents a quadratic equation. To factor this expression, we look for two numbers that both add to the middle term, -12, and multiply to the constant term, 36. The numbers that fit this requirement are -6 and -6, since (-6) + (-6) = -12 and (-6) × (-6) = 36. Therefore, the expression in factored form is (x-6)(x-6), which can also be written as (x-6)².
CAN SOMEONE PLEASE GIVE ME THE ANSWER
Here you are: B and E
To "know your audience," you should identify what they
a. Need to know
c. Are interested in
b. Want to know
d. All of these
Please select the best answer from the choices provided
An answer is an option (D) for all of these.
"Know your audience" and Why is it important to know your audience?
Knowing your audience helps you figure out what content and messages people care about.
To "know your audience," you should identify what are ?
a. Need to know
c. Are interested in
b. Want to know
d. all of these
hence the answer is all of these.
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1. Determine the total cost of the automobile after down payment and finance cost. Round your answer to the nearest penny; do not use commas in your answer.
price of car: $24.800.00, percent down: 18%, finance cost: 36 months at $760.00 per month
answer: ?
Answer:
24.800.000=100000
Step-by-step explanation:
gooogglleeeee PeRiOd
The cost of the car is $31824
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: Price of the car =$24,800 down payment % =18 and monthly installment of $760
Thus Total cost= $24,80×0.18+36×760
= $31824
Hence, The cost of the car is $31824
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The ratio of arc length to circumference is the same as the ratio of
Answer:
The ratio is the same as the ratio of the angle of that sector to the angle for the whole circle (2π).
Step-by-step explanation: