Answer:
x = 1
Step-by-step explanation:
2401 = 7⁶⁻²ˣ
7⁴ = 7⁶⁻²ˣ
4 = 6 - 2x
2x = 6 - 4
2x = 2
x = 1
Final answer:
There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.
Explanation:
The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:
Start with lower powers of 7 like 72 = 49, and increase the exponent.
Notice that 73 = 343 and 74 = 2401.
Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.
Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.
Therefore, there isn't an integer power of 7 that precisely equals 2041.
Jamie paid the rent well past the due date for the months of April, May and June. As a result, he had been charged a total of $75 as late fee. How much did he pay as late fee per month?
Jamie paid $25 as a late fee per month. Hence, the final answer is $25 per month.
Explanation:To find out how much Jamie paid as a late fee per month, we first need to determine how many months he was charged for and then divide the total late fee by that number.
In this case, he was charged for the three months of April, May, and June, so there were 3 months.
The total late fee was $75, so to find out how much he paid per month, we divide the total late fee by the number of months: $75 / 3 = $25 per month.
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The surface area of a triangular prism is 78 square inches. What is the surface area of a similar prism that is three times as large?
Answer:
234 inches
Step-by-step explanation:
The prism is 3× larger so you would multiply 78 by 3
Final answer:
To find the surface area of a similar prism three times as large, you need to square the scaling factor and multiply it by the original surface area.
Explanation:
The surface area of a triangular prism is 78 square inches. Given that the area scales in proportion to the square of the linear dimensions, if a similar prism is three times as large, the surface area of the larger prism would be 3² = 9 times the original surface area. Therefore, the surface area of the similar prism that is three times as large would be 78 square inches x 9 = 702 square inches.
Find the inner product for (8,4)(2,4)and state whether the vectors are perpendicular.
a.
8; no
c.
32; no
b.
8; yes
d.
32; yes
Please select the best answer from the choices provided
A
B
C
D
The inner product of vectors (8,4) and (2,4) is 32, and since the dot product is not zero, the vectors are not perpendicular.
The inner product (also known as the dot product) of two vectors can be calculated by multiplying the corresponding components of the vectors and then summing those products. For the vectors (8,4) and (2,4), the inner product is calculated as (8 × 2) + (4 × 4), which equals 16 + 16, and thus the inner product is 32.
To determine if the vectors are perpendicular, we need to check if their dot product is zero. In this case, since the dot product is 32, not zero, the vectors are not perpendicular to each other.
Therefore, the correct answer is C: 32; no.
Find the line that best fits. Note that values have been rounded.
A) y=0.7x+5.2
B) y=0.7x-5.2
C) y=0.07+5.2
D) y=0.07-5.2
Answer:the answer is a
Step-by-step explanation:
Help please I’m on a time limit
Answer:
I think that it is 295 degrees
Step-by-step explanation:
Here is an inequality: -2x>10
Select all the values in the list for x that would make this inequality true
-10
-4
2
-6
-5
-8
0
-43
Answer:
The answer is -6, -8, -10 and -43.
Step-by-step explanation:
You can solve it :
-2x > 10
x < 10 ÷ -2
x < -5
(take note: you have to change symbol when it is divided by a negative no.)
Then choose the numbers from the options that satisfies the inequality, x < -5
Answer:
-10
-6
-8
-43
Step-by-step explanation:
(-2)*(-10)=20, 20>10
(-2)*(-4)=8, 8<10
(-2)*2=-2, -2<10
(-2)*(-6)=12, 12>10
(-2)*(-5)=10, 10=10, so it is not true
(-2)*(-8)=16, 16>10
(-2)*0=0, 0<10
(-2)*(-43)=86, 86>10
hope this helps :D
All of the following statements are true, except . . .
The product of b and c is positive.
The product of a and c is negative.
The product of b and 0 is 0.
The product of a and b is positive.
The only definite conclusion from the given information is that the product of b and c is positive, while the signs of a and b individually cannot be determined conclusively. Here option B is correct.
The product of a and c is negative: We cannot determine the signs of a and c individually, but from the given information, we can say that their product is negative. This is because the sum of a and c is 0 (a + b + c = 0), and b is positive.
If both a and c were positive or negative, their sum would be positive or negative, respectively. Therefore, one must be positive and the other negative for their sum to be zero.
The product of b and c is positive: As mentioned above, we know that b is positive and the product of a and c is negative. Since the sum of a, b, and c is zero, if b is positive and the product of a and c is negative, then the product of b and c must be positive to balance the equation.
The product of b and O is 0: This statement is always true because any number multiplied by zero is zero.
The product of a and b is positive: We cannot determine the signs of a and b individually based on the given information. As explained earlier, we only know that their sum is positive and the product of a and c is negative.
Therefore, the only statement that is guaranteed to be true based on the given information is that the product of b and c is positive. Here option B is correct.
Truck A delivers 228 tons of sand in 12 days. Truck B averages delivering 21 tons each day. 1) How many tons of sand does Truck A average delivering on each day?
Step-by-step explanation:
track a averagely delivers 19 tonnes of sand per day
Answer:
19 tons of sand.
Step-by-step explanation:
228/12= /1
228/12= 19
The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey
method is most likely to provide a biased sample?
A. survey all of the seventh-grade students
B. survey every fifth seventh-grade student that arrives at school
C. survey 50 seventh-grade students whose names are chosen from an alphabetical list
D. survey those seventh-grade students who participated in this year’s art fair
Answer:
D. survey those seventh-grade students who participated in this year’s art fair
Step-by-step explanation:
The people who participated in the art fair will most likely want to go to the art museum, which is a biased result.
Answer:
it's d
Step-by-step explanation:
hope it helps :)
A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the population?
A. all whales
B. a pod of humpback whales
C. killer whales
D. all humpback whales
Final answer:
In biology, the population refers to all individuals of a species in an area. For the humpback whale study, the population is the specific pod of whales being studied, not all whales or humpback whales in general. This aligns with population ecology principles.
Explanation:
The population in a biology context refers to all the members of a single species living in a particular area. In the given scenario where a scientist studies a pod of humpback whales to determine the migration of humpback whales, the correct answer would be B. a pod of humpback whales. This is because the scientist is studying a specific group of humpback whales, which constitutes a population within the larger population ecology context of all humpback whales.
Population ecology is a field that focuses on the number of individuals of one species in an area and how and why that number changes over time. It helps in understanding different aspects of species like their migration patterns, social structures, and interaction with the environment. A pod of humpback whales would be considered a distinct population if they are living together in the same space and are interbreeding, as per the definition of a population in this biological field.
Diameter: 10 centimeters; height: 14 centimeters
Are you looking for a radius?
What is the probability of an event that is impossible?
Answer:
0
Step-by-step explanation:
If the event is not possible it's not going to happen
there are 57 chips numbered from 1 to 57 placed in a barrel. One Chip is randomly pulled from the barrel. What is the probability that the number is on the chip is greater than or equal to 43
(Absolute value of 12 - 20) - (27/3 + 11) ^2
Answer:
the answer is 400-8=394.
Step-by-step explanation:
Please help :/ whoever answers I will put as brainpower answer ;)
Answer:
(x-9)^3
Step-by-step explanation:
so first you see "the cube" which means ^3 to whatever you are going to have
the difference means the answer of a subtraction equation
the the difference between "a number" (x) and 9 is (x-9)
then you see that when "adding" those together you get (x-9)^3
hope this helps
Bivariate data is data for two, usually related, variables. Each value of one variable is paired with a value of the other, for example, the height and shoe size of each student in a high school class. Bivariate data can be plotted on a coordinate plane called a scatter plot. A scatter plot’s x-axis represents one variable, and its y-axis represents the other. By plotting each data pair on a scatter plot, we can visualize the relationship between variables. Scatter plots help us understand whether or not something like height and shoe size are related. Scatter plots also help us identify outliers and clustering in a set of bivariate data. Outliers are values that are much larger or smaller than most other values in a data set. On a scatter plot, outliers are easy to spot since they appear well above or below most other plotted points. Clustering becomes apparent when points are bunched close together. This tells us something about how common a particular range of values is.
Answer:Average gas price at a local gas station.
Step-by-step explanation:
Bivariate data consists of pairs of related variables and is visualized using a scatter plot. Scatter plots help identify relationships between variables, as well as outliers and clusters within the data.
Explanation:Bivariate data refers to data that consists of pairs of variables, for example, the height and shoe size of students. Each pair of data is connected, which represents a specific point in the data set. When presented on a scatter plot, bivariate data gives a visual representation of the relationship between these two variables. The x-axis of a scatter plot indicates one variable and the y-axis represents the other.
Scatter plots give us the ability to identify both the existence of relationships between variables and the presence of outliers, which are values significantly larger or smaller than the other values in the data set. These outliers are easy to spot on a scatter plot as they are often far removed from the other plotted points. Scatter plots also help to identify clusters, which is when data points are grouped closely together, indicating a common range of values for the variables.
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*free 30 points*
what is [tex](30*60)-15(10)[/tex]
The Pythagorean theorem states that if two side lengths of a(n) _____ triangle are known, the length of the third side can be found.
Answer:
right triangle
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.
this is super complicated
Answer:
69
Step-by-step explanation:
the inverse cosine of 2.3/6.4 is 69 degrees
Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
Answer:
[tex]U_n=5(-2)^{n-1}[/tex]
Step-by-step explanation:
Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:
[tex]U_n=ar^{n-1}[/tex]
If the eleventh term, [tex]a_{11}=5120[/tex]
and the common ratio, r=-2.
Then:
[tex]5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5[/tex]
The explicit formula for the sequence is:
[tex]U_n=5(-2)^{n-1}[/tex]
The dot plot represents the amount of rain recorded by rain gauges in different locations around a city. A number line going from 0.25 to 2.75. 0 dots are above 0.25. 3 dots are above 0.5. 1 dot is above 0.75. 3 dots are above 1. 0 dots are above 1.25. 1 dot is above 1.5. 2 dots are above 1.75. 3 dots are above 2. 2 dots are above 2.25. 1 dot is above 2.5. 0 dots are above 2.75. How many rain gauges recorded rainfall? 2 8 11 16
Answer:
16
Step-by-step explanation:
Based on the dot plot given on the rain gauges, the number of rain gauges that recorded rainfall must be 16.
What number of rain gauges recorded rainfall?Looking at the dot plot, the gauges that recorded rainfall would be those that have rainwater that is above 0.
The total number of these are:
= 3 + 1 + 3 + 1 + 2 + 3 + 2 + 1
= 16 rain gauges
In conclusion, option D is correct.
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An employee put $5,000 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. How much interest will the employee have earned at the end of 5 years. Make sure to round your answer to the hundredths.
Answer:
$2,693.12 will the employee have eared at the end of 5 years.
Step-by-step explanation:
The formula of compound interest:
[tex]A=P(1+r)^n[/tex]
[tex]I[/tex] = A-P
A= The amount in the account after n years
P= Principal
r= rate of interest annually
n= time in years.
An employee put $5,000 in retirement account that offer 9% interest compounded annually.
Here P=$5,000, r=9%=0.09, n= 5 years
[tex]A=5,000(1+0.09)^5[/tex]
=$7,693.12
The interest = A-P
=$(7,693.12-5,000)
=$2,693.12
$2,693.12 will the employee have eared at the end of 5 years.
The temperature dropped 4 °F every hour for 5 hours. What was the total number of degrees the temperature changed in the 5 hours?
Answer:
dropped 20°F
Step-by-step explanation:
dropped 4°F = 1 hour
x 5
dropped 20°F= 5 hours
select the number like that matches the expression |-6-(-3)|
Answer:
3
Step-by-step explanation:
Firstly, do the numbers inside the absolute value bars.
-6-(-3)
The two negatives that are together turn to a addition sign.
-6+3
You can just subtract 6 and 3 which is 3 and add the - to it.
|-3|
The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.
Hope this helped.
The quadrilateral shown is a parallelogram. What is the measure of DC?
A) 8 B) 12 C) 18 D) 23
Help me I’ll give you best brainliest!!
Answer:
B) 12
Step-by-step explanation:
Opposite sides are congruent
A new park was designed to contain two circular gardens. Garden A has a diameter of 50m and garden B has diameter of 70m if the gardener wants to outline the gardens edging, how many meters will be needed to outline the smaller garden?
Answer:
157
Step-by-step explanation:
The circumference of a circle with diameter d is given by ...
C = πd
The circumference of a 50 meter circle will be ...
C = π(50 m) ≈ 157.08 m
It will take about 157 meters of edging to outline the smaller garden.
What is the probability that in two rolls of a single die, a man will roll a 2 on the first roll and a number greater than five on the second?
(A) 1/3
(B) 1/6
(C) 1/12
(D) 1/18
(E) None of the above
I got; (E) None of the above. Because I got 1/36.
Is this correct?
Answer:
Step-by-step explanation:
I got A because the probability of rolling a 2 is 1/6 chance. Then the probability of getting a number greater than 5 is a 1/6 chance because there’s only one number bigger than five on a die. So I added them together got 2/6 and simplified down is 1/3
Answer:
That's right.
A 2 on the first roll means 1 possibility out of 6.
The only number greater than 5 in a dice is 6, therefore it's the same case from above.
1/6 on first roll
1/6 on second roll
[tex]\frac{1}{6} * \frac{1}{6} = \frac{1}{36}[/tex]
Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent the range, lower quartile, and upper quartiles? range: 210.5 lower quartile: 200 upper quartile: 218 range: 14 lower quartile: 111 upper quartile: 198 range: 119 lower quartile: 218 upper quartile: 200 range: 119 lower quartile: 200 upper quartile: 218
The numbers that bes represent the range, lower quartile and upper quartiles is:
d. 200 range: 119 lower quartile: 200 upper quartile: 218.What are the range, lower quartile, and upper quartiles?Range:
Range = Maximum Value - Minimum Value
Range = 230 - 111
Range = 119
Lower Quartile (Q1):
Lower Half: 111, 198, 200, 204, 210
Median of Lower Half = (200 + 204) / 2 = 202
Upper Quartile (Q3):
Upper Half: 211, 216, 218, 224, 230
Median of Upper Half = (216 + 218) / 2 = 217.
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Which number is an integer?
-3/4
0
2.3
Square root
Answer:
0
Step-by-step explanation:
An integer is a whole number with no decimals. 0 is the only one.
Answer:the last answer is pi not square root
Step-by-step explanation:
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
147 pi = one-third (7) (h) squared
147 pi = one-third pi (7 squared) (h)
147 pi = one-third pi h
147 pi = one-third pi (7) (h)
Answer:
147 pi = one-third pi (7 squared) (h) 147 pi = one-third pi h
explanation:
Answer:
b. 147 pi = one-third pi (7 squared) (h)
Step-by-step explanation:
did test on e2021