Answer:
Step-by-step explanation:
We'll start with going form exponential to radical, since it may be easier to follow. For example,
[tex]x^{\frac{4}{3}[/tex] can be written, in radical form, as
[tex]\sqrt[3]{x^4}[/tex]. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:
[tex]4^{\frac{2}{3}[/tex] becomes
[tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]
And you can go the other way with it. For example,
[tex]\sqrt[5]{x^4}[/tex] becomes
[tex]x^{\frac{4}{5}[/tex], etc. Get it?
Answer:
When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2, Rewrite the entire expression using rational exponents.
Find the measure of each numbered angle for each figure
Answer:
Angle 1 is 58. Angle 2 is 32.
Step-by-step explanation:
The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.
Dorothy earned 840 last week for working 35 hours.is she works 40 hours,how much will she make
Answer:
960$
Step-by-step explanation:
First you want to find out how much money she makes per hour by doing 840/35. That equals 24, so now you multiply it by the amount of hours for this week. 24*40= 960$.
Hope this helps :D
[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]
A bag of raisins contains 20 oz. If you want to give 25 people equal servings how many ounces should you
give each person? (It says leave your answer as a mixed number) I don’t understand how to do that.
eeeeeeee please help!
Answer:
1) Less than
2) greater than
Step-by-step explanation:
Equation of the first line:
(y+7)/(-13+7) = x/-1
(y+7))/-6 = -x
y+7 = 6x
y= 6x - 7
Equation of the second line:
A (4/3,0) ; B (0,8)
y/8 = (x-4/3)/-4/3
y/8 = (x-4/3) * -3/4
y/8 = -3/4x + 1
y = -6x + 8
HELP ME PLEASEEEEEE. !!!
Answer:
107,100
Step-by-step explanation:
[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]
find the missing lengths in the triangle. round to the nearest tenth if necessary
Answer:
[tex]x=8,\\y\approx 6.9[/tex]
Step-by-step explanation:
The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].
Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]
using quadratic equation:
help me solve it
[tex]10x - \frac{1}{x } = 3[/tex]
Answer:
[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]
hope this helps you.
Have a nice day!
four tens + four nines
Answer:
[tex]76[/tex]
Step-by-step explanation:
Write the question in equation form
[tex]4(10)+4(9)[/tex]
Multiply
[tex]40+36[/tex]
Add
[tex]76[/tex]
find the point(s) in which f(x)=e^5-2x and y=6 intercept
Answer:
(1.6, 6)
Step-by-step explanation:
[tex] ln({e}^{5 - 2x} = 6)[/tex]
[tex]5 - 2x = ln(6) [/tex]
[tex]2x = 5 - ln(6) [/tex]
[tex]x = \frac{5 - ln(6) }{2} [/tex]
y = 6
Sarah finds herself with 9 different cheeses and 9 different wines. In how many ways can she pair one cheese to one wine
Answer:
She has 9 choices for each different cheese.
For each of these cheeses there are 9 different wines,
So 9 * 9 = 81 and there are
81 possible different choices
you've run 250 ft of cable that has a loss rate of 3.6 dB per 100 ft. what is your total loss?
Answer:
2.5 dB/100 ft
Explanation:
If 5 dB was lost after 200 ft of cable and 100 ft is half of 200 ft, then the rate of loss should be 2.5 dB per 100 ft.
Step-by-step explanation:
The total loss is 9 dB
Since we have 250 ft of cable that has a loss rate of 3.6 dB per 100 ft, we need to find the total loss of the 250 ft of cable.
To find this total loss, we multiply the loss rate by the total length of cable.
So, the total loss for the 250 ft of cable, L = loss rate × length of cable.
Since loss rate = 3.6 dB per 100 ft and the length of cable = 250 ft, substituting the values of the variables into the equation, we have
L = loss rate × length of cable.
L = 3.6 dB/100 ft × 250 ft.
L = 3.6 dB/10 × 25.
L = 3.6 × 25/10 dB
L = 3.6 × 2.5 dB
L = 9 dB
So, the total loss is 9 dB
Learn more about dB loss here:
https://brainly.com/question/21793414
Alan's and Mary's incomes are modeled in the graph. Which part of the graph indicates that Mary's income is greater than Alan's?
Answer:
In the 18th year
Step-by-step explanation:
Worth 10 pts ... pls help
Answer:
the length is 8cm???
Step-by-step explanation:
its kind of obvi (i Think)
Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.
Answer:
there are 2 apples in the basket
there are 10 banana in the basket
Step-by-step explanation:
According to the Question,
We have, Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit.let x for apple And y for banana So, x+y=12---Equation 1
And, the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces.Thus, 5x+7y=80 ----Equation 2
Now, (Equation 1) × 5 Subtract with (Equation 2) We get,
2y = 20 ⇒ y=10 (there are 10 banana in basket)
Put value of y=10 in Equation 2 we get5x+70=80 ⇔ x=2(there are 2 apples in basket)
Please help the question is in the photo
Answer:
Click C.
√65,17/2,8.9,3^2,√100
Have a blessed day B)
Answer:
C √65,17/2,8.9,3^2,√100
Step-by-step explanation:
from least to greatest
√65=8.06
17/2=8.5
8.9
3^2=9
√100=10
Graph the integer 3 and its opposite on a number line.
Someone please help me with this math problem?
Answer:
The length of the shortest side of the triangle is 10 units.
Step-by-step explanation:
Let a be the shortest side of the isosceles triangle and b be the two congruent sides.
The congruent sides b are each one unit longer than the shortest side. Hence:
[tex]b=a+1[/tex]
The perimeter of the isosceles triangle is given by:
[tex]\displaystyle P_{\Delta}=b+b+a=2b+a[/tex]
This is equivalent to the perimeter of a square whose side lengths are two units shorter than the shortest side of the triangle. Let the side length of the square be s. Hence:
[tex]s=a-2[/tex]
The perimeter of the square is:
[tex]\displaystyle P_{\text{square}}=4s=4(a-2)[/tex]
Since the two perimeters are equivalent:
[tex]2b+a=4(a-2)[/tex]
Substitute for b:
[tex]2(a+1)+a=4(a-2)[/tex]
Solve for a. Distribute:
[tex]2a+2+a=4a-8[/tex]
Simplify:
[tex]3a+2=4a-8[/tex]
Hence:
[tex]a=10[/tex]
The length of the shortest side of the triangle is 10 units.
find the value of the given equation (-155)+(-20) + (-14) + (-133) + (190) + (170) +(-73)
Answer:
-37
Step-by-step explanation:
-155-20-14-133-73=-395
190+170=360
-395+360=-37
What is the answer to this question
Answer:
48 units
Step-by-step explanation:
I really need help, pls help. :)
Which properties justify the steps taken to solve the system?
{2x−4y=−63x+2y=−1
Drag and drop the answers into the boxes to match each step.
Answer:
Step-by-step explanation:
1). 6x - 12y = -18
6x + 4y = -2
Multiplication property of equality.
2). -16y = -16
Substitution property of equality.
3). y = 1
Division property of equality.
4). 2x - 4(1) = -6
Substitution property of equality.
5). 2x - 4 = -6
Simplify.
6). 2x = -2
Addition property of equality
7). x = -1
Division property of equality
Can someone help with this?
Answer:
(a) is 8 x 7 x 3 = 168
(b) is 8 x 7 = 56
(b2) is weird I don't know what it's asking
Answer:
FOR LETTER A
Volume of prism (expression) = Length x Width/Breadth x Height
Volume of prism (expression) = 8 units x 7 units x 3 units = 168 cubic units
FOR LETTER B
Area of the shaded base = 8 x 7 = 56 square units
Volume of prism = Area of the shaded base x Height
Volume of prism = 56 square units x 3 units = 168 cubic units
Step-by-step explanation:
To find the volume of rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism = length × width × height
To get the area of the shaded base, when the base is in rectangular shape:
Definition: Area of rectangle is the region occupied by a rectangle within it's four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area. But in the case of a square, since all the sides are equal, therefore, the area of the square will be equal to the square of side-length.
Area of rectangle = Length × Breadth
A = l × b
Find the greatest common factor of these three expressions.
6,63x^2, and 9x
Answer:
126x9
Step-by-step explanation:
What angle in radians is subtended by an arc of 1.60 mm in length on the circumference of a circle of radius 2.54 mm
Answer:
α = 0.63 radians
Step-by-step explanation:
We are given;
Length of arc; L = 1.6 mm
Radius; r = 2.54 mm
The arc length equation is given by;
L = αr
Where;
L is length of arc
r is radius
α is angle in radians
Thus;
α = L/r
α = 1.6/2.54
α = 0.63 radians
2/3 ÷ 8/9 with explanation and steps...
Answer:
2/3 ÷ 8/9
[tex] \frac{2}{3} \div \frac{8}{9} [/tex]
[tex] \frac{2}{3} \times \frac{9}{8} [/tex]
[tex] \frac{1}{1} \times \frac{3}{4} [/tex]
[tex] \frac{3}{4} [/tex]
hope this will help you more
Solve the equation and enter the value of x below. -1(4 + x) = 6
-1 (4 + x) = 6
=> 4 + x = 6/-1
=> 4 + x = -6
=> x = -6 -4
=> x = -10
How do you graph this ,helppppppppp
Solve for x. Round to the nearest tenth of a degree, if necessary
Answer:
29.4 is the correct answer, it's rounded up so that you don't have to accidentally get it wrong like I did, lol
Step-by-step explanation:
Juan is selling fruit baskets and pencils for his
fundraisers. He started his fundraising early and has 12
weeks to reach his goal of selling $300.00 worth of
goods to pay for his trip's cost.
If Juan uses the table shown to represent all of his
data, what interval for the weeks would you use in
column 1 so that all 12 weeks are represented?
Week.labels:
X1, 2, 3, 4
2, 4, 6, 8
3, 6, 9, 12
1, 3, 6, 10
Answer:
Juan will need the number of fruit baskets to sell the last three weeks to achieve his goal=18
Step-by-step explanation:
sszhskf7kj Is correct
He's the one that commented on the other answer
C) 3, 6, 9, 12
The cost for 2 adults and 5 children to eat at the local buffet restaurant is \$46.50 . The cost for 1 adult and 1 child is $15. What is the cost of a child's meal ?
Answer:
c = 5.5
Step-by-step explanation:
2 a + 5 c = 46.50
a + c = 15
a = 15 - c
2(15-c ) +5c = 46.50
30 - 2c +5c = 46.5
3c = 16.5
c = 5.5