A rule that we need to know in order to solve this is:
[tex](a^b)^c=a^{bc}[/tex]The extended rule would be:
[tex](\frac{a^b}{c^d})^x=\frac{a^{bx}}{c^{dx}}[/tex]Also, remember another rule:
[tex]\frac{1}{a^{-x}}=a^x[/tex]Keeping all these rules in mind, we can simplify:
[tex](\frac{4^3}{5^{-2}})^5=\frac{4^{15}}{5^{-10}}=4^{15}\cdot5^{10}[/tex]THis is the final form.
5. Audrey baby-sat for 36 hours over two weeks. She earned $4.20 an hour. What was he
gross pay?
PLEASE HELP
Solve: 2/3 - 4x + 7/2 = -9x + 5/6
X=-3/2
X=-2/3
X=2/3
X=3/2
kennedy has 3+5/8 cups of glue she used
[tex]1.25[/tex]
[tex]3 \times \frac{5}{8} - 2 \times \frac{3}{8} = \frac{29}{8} - \frac{19}{8} = \frac{10}{8} = 1.25[/tex]
5. Which fraction is NOT equal to 8/7 ?
A square number is the result of multiplying an integer or number by itself exponentially. Square numbers are always positive numbers. Positive sign (+) is produced when the negative sign is multiplied by itself. Option B: 64/49 is not equal to 8/7
What are Squares and Square Roots?In mathematics, the operations squares and square roots are the opposite. A number's square represents the number that requires to be multiplied by itself to return to its original value, whereas a number's square represents the number that has to be multiplied by itself to return to its true value. The square of some other natural number is a perfect square, often known as a square number. The result of multiplying a number by itself is the square root of that number. It is possible to couple the perfect square's prime factors. Making the prime factor pairs is the first step in determining the square root. The product of these components is then determined by selecting one element from each pair.The square root of the ideal square can be discovered using this technique.Option B: 64/49 is not equal to 8/7
64/49 = (8/7) ^2 but not 8/7
whereas all the other options:
16/14 = 8/7
32/28 = 8/7
72/63 = 8/7
Hence, Option B: 64/49 is not equal to 8/7
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Jan is twice as old as Jake. The sum of their ages is 5 times Jake's age decreased by 48.
How old are Jan and Jake?
Answer:
Jake = 24
Jan = 48
Step-by-step explanation:
J = Jan
X = Jake
2x + x = 5x - 48
2x = 4x - 48
-2x = -48
x = 24
Jake = 24
Jan = 48
HELPPPPPP ASAP 20 POINTS
Answer: D
Step-by-step explanation:
It would take forever if i explained, so here you go.
i need help with 9, 10, and 13
Answer:
9: m = 15h
10: d = 6.5t
13: No because the ratios are not equivalent as they start with$450.
……………………………………………………
Lori finished a bike race with a time of 3747 minutes. Mike finished the race with a time of 38.39 minutes. What is the difference in the finish times of Lori and Mike?
Answer: 3708.61
Step-by-step explanation:
The first thing I did was subtract, 3747
- 38.39
-----------------------
3708.61
*when you hear the word (difference) you will know to subtract.
difference: Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.
To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.
Gabriella and her children went into a bakery that sells cupcakes for $3 each and
donuts for $1.50 each. Gabriella has $30 to spend and must buy at least 13 cupcakes
and donuts altogether. If a represents the number of cupcakes purchased and y
represents the number of donuts purchased, write and solve a system of inequalities
graphically and determine one possible solution.
The system of inequalities can be given as
[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]
What are inequalities?
Inequality is the relationship between two or more expressions or values that are not equal to one another.
We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.
If a represents the quantity of cupcakes bought and y the quantity of donuts bought
A total of 13 products had to be purchased.
Equations can be given as
[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]
On graphing the inequalities we get
The intersection of the two inequalities is the required region
For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts
The total cost is 3(2)+1.5(14)=27
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Point C' is the image of C(-4,-2) under a reflection across the y-axis.
What are the coordinates of Cl?
After reflection along the y-axis, the coordinates of C' is (4, -2).
What is a reflection in a graph?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the shape across the line to graph a reflection. A function's graph is transformed over the x-axis or the y-axis in a reflection (or both). The function keeps its basic form, but if a negative sign is added at the right spot in the equation, the graph will flip over one of the axes or the other.So, the coordinates of C':
We already know that C(-4,-2) lines on the 3rd quadrant as in the 3rd quadrant (-x, -y) are found.When reflecting upon the y=axis, the C' will be seen in the 4th quadrant.We know that the 4th quadrant (x, -y).So, the coordinates of C' will be (4, -2).(Refer the the graph attached below)
Therefore, after reflection along the y-axis, the coordinates of C' is (4, -2).
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300.0 gram block of lead from 22.3°C to 59.9°C? The specific
heat of lead is 0.129 J/g°C.
The most appropriate choice for heat will be given by-
Amount of heat absorbed by the lead = 1455.12 J
What is heat?
Heat is the form of energy which caused in us the sensation of hotness or coldness.
SI Unit of heat is Joule
Here,
Mass (m) of block of lead = 300 gram
Specific heat capacity (c) of block of lead = 0.129 J/g°C.
Increase in temperature ([tex]\Delta[/tex]t) of block of lead= 59.9 - 22.3
= 37.6° C
Amount of heat absorbed by the lead = [tex]300 \times 0.129 \times 37.6[/tex]
= 1455.12 J
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Two companies are competing for a contract to make the programs for the high school football games. Howie's Printing charges a $19.99 fee for printing and $0.25 for each program printed. Mint Print charges a $29.99 fee for printing and $0.10 for each program printed. For what number of programs will Howie's Printing cost more than Mint Print?
i need this now tooooooo
Considering the definition of an inequality, for more than 67 number of programs Howie's Printing will cost more than Mint Print.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values, in addition to certain known data.
The solution of an inequality is the value or set of values that the variable has so that the inequality is fulfilled.
Number of programs in this caseBeing "x" the number of program printed, you know that:
Howie's Printing charges a $19.99 fee for printing and $0.25 for each program printed. → Howie's Printing charges= 19.99 + 0.25xMint Print charges a $29.99 fee for printing and $0.10 for each program printed. → Mint Print charges= 29.99 + 0.10xIf Howie's Printing cost more than Mint Print, the inequality that expresses the previous relationship is
Howie's Printing charges > Mint Print charges
19.99 + 0.25x > 29.99 + 0.10x
Solving:
0.25x - 0.10x > 29.99 - 19.99
0.15x > 10
x > 10÷0.15
x > 66.67≅ 67
Finally, the number of programs is more than 67.
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Decrease £16870 by 3%
Give your answer rounded to 2 DP.
We have that the Decrease of £16870 by 3% is mathematically given as
P=168193.9=>168193.90 2dp
Arithmetic
Question Parameters:
Decrease £16870 by 3% Give your answer rounded to 2 DP.
Generally the equation for the 3% of 16870 is mathematically given as
X=0.03*16870
X=506.1
Therefore Decrease £16870 by 3% we have
16870 - 506.1
P=168193.9
Answer:
= £16363.9
Step-by-step explanation:
- Decrease is a reduction and can be done only by subtraction in two ways;
Decreasing the percentage first;[tex] = (100 - 3)\% \\ = 97\%[/tex]
- Then multiply the result to the value being decreased;
[tex] = \frac{97}{100} \times 16870 \\ \\ = 16363.9 \: \: euros[/tex]
Decreasing from first principle;[tex] = \frac{3}{100} \times 16870 \\ \\ = 506.1 [/tex]
- Then reduce the original by the result:
[tex] = 16870 - 506.1 \\ = 16363.9 \: euros[/tex]
Find the measure of x.
65°
18
x = [?]
Round to the nearest hundredth.
Enter
Answer: 585
Step-by-step explanation: You can multiply both numbers and divide by 2 to get the answer
Anybody know the first answer ?
Answer:
Discrete data
Step-by-step explanation:
Discrete data is information that can only take certain values.
1748/38 showing work but not long divison
The quotient of the fraction (1748/38) is 46.
As per the question statement, we are provided with a division operation, of with a dividend of 1748, and a divisor of 38.
We are required to calculate the quotient of the above mentioned division.
Here, it is mentioned in the question statement that we will have to calculate the quotient of our concerned division without using the long division method, but still, we will have to show the steps of our solving procedure.
Let us first factorise both of our dividend and divisor, which goes as,
[1748 = (2 * 2 * 19 * 23)], and [38 = (2 * 19)]
Hence, [(1748/38) = {(2 * 2 * 19 * 23)/(2 * 19) = (2 * 23) = 46]
Quotient: In Mathematics, quotient is the quantity obtained as a resultant of the division of two numbers.To learn more about Quotients and Long Division method, click on the link below.
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PLEASE HELP PLEASEEE
Answer:
70
Step-by-step explanation:
[tex]56(5/4)=70[/tex]
Part Two:
For any long-distance call T-Mobile charges a base rate of $15 per month plus $0.05 a minute
that you are on the phone, while Verizon charges a base rate of only $10 per month, but charges
$0.10 per minute for long distance calls. Write the equation that represents the total cost for one month of long distance calls for each company, where y is total cost and x is the amount of minutes used:
T-Mobile:
Verizon:
Using an algebraic method, determine how many minutes the two plans will cost the same.
T-Mobile charges a base fee of $15 per month plus $0.05 for each minute. 300 minutes long would you need to call for them to charge the same amount.
Given that,
T-Mobile charges a base fee of $15 per month plus $0.05 for each minute you are on the phone for any long-distance call, while Verizon has a basic rate of only $10 per month but charges $0.10 for long-distance calls.
We have to find how long would you need to call for them to charge the same amount.
We can write the equation as
15+0.05x=0.10x
0.05x-0.10x=-15
-0.05x=-15
0.05x=15
x=15/0.05
x=300 minutes
Therefore, 300 minutes long would you need to call for them to charge the same amount.
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2. Khalid invests $6750 at 8.5% per annum. How much interest
has he earned and what is the total amount in his account after 4 years?
Which one of these graphs is not a function?
a
b
c
d
Answer:
A
Step-by-step explanation:
A is the only one that has multiple points on one x-axis, and a function only has one point per x-axis.
mx + b for m=2 x=8 b=7
Lineal function
y = mx+b
Replacing with the values given:
y = 2x+7
y=2(8)+7
y= 23
Cooper’s jump rope is 4 2/5 feet long. Luke’s jump rope is 4 3/4 feet long. Who’s jump rope is longer? How much longer? Show your work.
PLS ANSWER I NEED AN A+ I GOT A D- ON THE PRE TEST PLS! REWARDING 25 POINTS! <333
Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.
What are mixed fractions?
The quotient and remainder of a fraction are used to represent it, making it a mixed fraction. For illustration, 2 1/3, wherein 2 has been the quotient but 1 is indeed the remainder, is a mixed fraction. A mixed fraction is a combination of both a complete number and a recognized fraction.Converting each mixed fraction to an improper fraction and then decimal to compare between two values, we get-
Cooper's jump rope length= [tex]4\frac{2}{5}[/tex] = 22/5 =4.4 m
Luke's jump rope length = [tex]4\frac{3}{4}[/tex] = 19/4 = 4.75 m
Luke's jump rope is greater than cooper's by 4.75-4.4 =0.35m
Comparing both lengths, we get that Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.
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in a school the number of workers is w. The number of learners is eight times the number of teachers. The number of workers is nine less than the number of teachers. How many people are in the school.
Answer: 576
Step-by-step explanation:
For the right triangles below, find the exact values of the side lengths a and h. If necessary, write your responses in simplified radical form. pad 309 8 Х X S 45° 0 60° 3 h
First Triangle:
This is a special right-angled triangle and is known as 45°-45°-90° triangle
To solve for any side length, we can use the following procedure.
As you can see, the sides opposite to the 45° are equal and in this case, both are 3
Then the side opposite 90° will be
[tex]3\sqrt[]{2}[/tex]Therefore, the side a = 3√2
Second Triangle:
This is a special right-angled triangle and is known as the 30°-60°-90° triangle.
To solve for any side length, we can use the following procedure.
As you can see, the side opposite the 30° is the smallest.
The side opposite the 60° is 2 times the side 30°
The side opposite the 90° is √3 times the side 30°
For the given case, we want to know the side opposite of side 30°
We are given the side opposite the 60° that is 8
[tex]\begin{gathered} 2h=8 \\ h=\frac{8}{2} \\ h=4 \end{gathered}[/tex]Therefore, side h = 4
15 + 6x = 3 ( x - 1 )
Answer:
x = -6
Explanation:
Solve for y.
y/4= 5.12
Help me please and ty <3
Answer: y = 20.48
Step-by-step explanation:
To get rid of the denominator under the y you must multiply the entire equation by 4.
y = 20.48
That's all :)
Answer:
20.48 :)
Step-by-step explanation:
To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3
Find the slope of the line that passes through the following points:
(1, -3)
(4, 0)
Work Shown:
[tex](x_1,y_1) = (1,-3) \text{ and } (x_2,y_2) = (4,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - (-3)}{4 - 1}\\\\m = \frac{0 + 3}{4 - 1}\\\\m = \frac{3}{3}\\\\m = 1\\\\[/tex]
the equation d=6 t models the distance of a squirrel can travel when when it runs at top speed. In the equation, d is the distance in yards and t is the time in seconds.
Answer:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]
Step-by-step explanation:
Given equation:
[tex]d=6t[/tex]
where:
d is the distance in yards.t is the time in seconds.To complete the table, substitute each value of t into the given formula and solve for d:
[tex]t=2 \implies d=6(2)=12[/tex]
[tex]t=4 \implies d=6(4)=24[/tex]
[tex]t=6 \implies d=6(6)=36[/tex]
Enter the found values of d into the table:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]
how much less than negative 2 is negative 5
Step-by-step explanation:
how much less than negative 2 is negative 5:
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
What you are looking for is the difference between -5 and -2:
= -5 - (-2)
= -5 + 2
difference -3
so: -5 is 3 smaller than -2
