Evaluate this expression when p = 4 and q = -2:
4(√p+q²)
A. 4
B. -8
C. 12
D. 24
Answer:
24
Step-by-step explanation:
Find the area of the triangle whose one angle measure is 55°, the other angle is a right angle and the side opposite the 55° angle is 15 units.
Answer:
Step-by-step explanation:
Area of the right angles triangle will be expressed as;
Area of a triangle = 1/2base * height
Let the height of the triangle be 15 units
Get the base;
The base will be the adjacent;
Using the TOA trig identity;
tan 55 = opp/adj
tan 55 = 15/adj
adj = 15/tan 55
adj = 15/7.42
adj = 2.022 units
Area of the triangle = 1/2 * 15 * 2.022
Area of the triangle = 15 * 1.011
Area of the triangle = 15.165units²
Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided
Answer:
It's B trust
Step-by-step explanation:
The required balance at the beginning of April is $796.87. Option C is correct.
What is interest?Simple interest is defined as the percentage of earnings on the lending for a period of time
To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.
Let's call Ruth's balance at the beginning of May "B".
We know that during the April billing cycle:
She made a $45.17 payment on April 10th
She made a $88.34 purchase on April 17th
The APR is 10.91%
So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)
Solving for B, we get:
B = $796.87
So, the answer is C. $796.87.
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An auto mechanic earns $498.75 in 35 hours during the week. His pay is 2.50 more per hour on the weekends. If he works 6 hours on the weekend in addition to 35 hours during the week,hiw much does he earn
Answer:
Total pay= $599.25
Step-by-step explanation:
First, we need to calculate the unitary pay per hour:
Unitary pay= 498.75/35
Unitary pay= $14.25
Now, we can determine the total earn of 35 regular hours and 6 weekend hours:
Total pay= 498.75 + (14.25 + 2.5)*6
Total pay= 498.75 + 100.5
Total pay= $599.25
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?
fill in thw blanks please extra points:)
Answer:
First blank- 32000 ounces
Second blank- 2000 pounds
Yes the bridge can hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
16 ounces = 1 pound
32000 ounces = x pounds
==> = 32000/16 = 2000 pounds
2000 pounds = 1 ton
therefore the bridge holds 1 ton
Answer:
First blank- 32000 ounces
Second blank- 2000 pounds
Yes the bridge can hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
16 ounces = 1 pound
32000 ounces = x pounds
==> = 32000/16 = 2000 pounds
2000 pounds = 1 ton
therefore the bridge holds 1 ton
What type of transformation has occurred?
A Translation
B Dilation
C Reflection
D Rotation
Answer:
B dilation
Step-by-step explanation:
the shape didnt move but it got bigger
-a^2b^2c^2(a+b-c) find the product
Answer:
-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3
I hope it will be useful.
2) Unit rate is the price, or quantity, or distance of many items
O True
O
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It is is a ratio comparing quantities of different items with 1 in the denominator. Technically the price, quantity, or distance of one item.
Example
If Nancy buys 20 items for $180 dollars, what is the unit rate of the item's price
$180/20 = $9 per item (9/1)
1. Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
Answer:
not sure i it is one of these answers but if so , it d
Step-by-step explanation:
When performing division by repeated subtraction method, an equal
amount is subtracted from the dividend several times.
The best choice for the first number to subtract is the the option; 870
Reasons:
Dividing 956 by 87 and subtracting 10 each time, by subtracting 10 87 times gives;
956 - 87 × 10¹ = 86
From which we get;
[tex]\hspace {15} 10\\87| \overline{956}\\\hspace{15in.....} \overline{870}\\\hspace {120in......} 86[/tex]The 870 which is the part product is subtracted first to get a remainder of
86 which is less than 87.
Therefore; using powers of 10, the best choice for the first number to
subtract in the division problem 956 ÷ 87 is 87 × 10 = 870.
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Solve for h: h + 4.18 = 19.74
What is the answer to m / π = 7.3
Answer:
m=7.3π=22.93
Step-by-step explanation:
m=7.3π=22.93
(rounded to 2 decimal places)
Explanation:
Multiply both sides by π
mπ×π=7.3×π
m=7.3×π
m=7.3×3.14159....
m=22.9336....
For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227
You will get slightly different answers each time.
please help me with the question.
Answer:
Step-by-step explanation:
∠a is corresponding to ∠f
∠b is alternate interior angle to ∠e
∠g is alternate exterior to ∠d
∠f is vertical to ∠h
∠b is consecutive( same side) interior with ∠f
A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?
Answer: 30
6 times larger than the width = that's 5×6=30.
Answer:
30 is the answer
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What is the slope-intercept form of a line that contains the point (-2,-11) with a slope=4?
PLZ HELP I ONLY HAVE 10 minutes left
Answer:
I believe its c.
Step-by-step explanation:
There using the equation mx+b=y. M is the slope(4), b is the y intercept (3).
Answer:
The correct choice is D.
Combine Like Terms
7x^4 - 5x^4=
PLEASE HURRY WILL MARK BRAINLEST!!!!!!!
Answer:
2x^4
Step-by-step explanation:
Find the measure of each angle
Answer:
All the work and answer is on the screenshot I have attached.
Step-by-step explanation:
Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic Ocean. One of the studies involves a random sample of 16 baluga whales. The researchers want to create a 95% confidence interval to estimate the true mean weight of male baluga whales. Their data follow a normal distribution. The population standard deviation of weights of male baluga whales is ????=125 kg, and the researchers feel comfortable using this standard deviation for their confidence interval.
Assuming the relevant requirements are met, calculate the margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Answer:
c. 61.25 kg
Step-by-step explanation:
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Margin of Error Formula= z × Standard deviation/√n
95% confidence interval = 1.96
Standard deviation = 125kg
n = 16 samples
Margin of error= 1.96 × 125/√16
= 1.96 × 125/4
= 245/4
= 61.25kg
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg
A coat discount 40% off it's regular price. Which value is equivalent to 40%
If you can answer my riddle I will mark as brainlest ok?
RIDDLE: If you give me food I will live but if you give me water I will die. What am I?
Answer:
fire
Step-by-step explanation:
if you give fire food or fuel it will still be alive
but if you give it water it will go out
PLZ GIVE BRAINLEST
Answer:
The answer is a fire because if you put water on a fire, it will die out, but if you put stuff in the fire it will live on.
if u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?
Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
120.45 ?
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
Can you help me please
1. Simplify by using the distributive property:
4 (2x +9)
Answer:
8x+36
Step-by-step explanation:
Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In order to simplify this, we should use the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
According to the property,
[tex]\longrightarrow\tt{4(2x+9)=8x+36}[/tex]
I hope it helps you! Have an awesome day!
If you need any explanation or clarification, feel free to reach out! :D
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the equation of the line. Use exact numbers.
Which expression is equivalent to 8/9 divided 3/4?
don't feel like using my brain
Answer:
32/27
Step-by-step explanation:
The fractional division is draculated as follows:
(a/b) / (c/d) = (a*d) / (b*c)
then:
(8/9) / (3/4) = (8*4) / (9*3) = 32/27
Miss Kito is building a rectangular pen for her lea.She will use the side of her house for one wall of the pen;therefore she will not need any fencing on that side.On the other three sides, she will use special fencing that costs $12 per foot . She wants the entire enclosed area to be 2400 square feet. Lastly,she needs four corner that costs $5 each ?
Let x represent the length of each side of the pen perpendicular to the house and let y represent the length of the side of the pen parallel to the house.Write a function c(x) for the cost of the materials for the llama pen in terms of x. Simplify
Please explain and thank you
Answer:
The answer is "[tex]=24x+ \frac{28800}{x}+20[/tex]"
Step-by-step explanation:
The perimeter of the fence [tex]=2x+y[/tex]
cost of fence[tex]=12(2x+y)[/tex]
cost of corner ports[tex]= 4 \times 5=20[/tex]
cost of pen[tex]= 24x+12y+80.............(1)[/tex]
area of pen[tex]=2400[/tex]
[tex]xy=2400\\\\y=\frac{2400}{x}[/tex]
cost c(x)[tex]=24x+ \frac{12 \times 2400}{x}+20[/tex]
[tex]=24x+ \frac{28800}{x}+20[/tex]
IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135
Answer:
0.01
Step-by-step explanation:
Using the z score formula
z = (x-μ)/σ,
where x is the raw score = 135
μ is the population mean = 100
σ is the population standard deviation = 15
z = 135 - 100/15
z = 2.33333
P-value from Z-Table:
P(x<135) = 0.99018
P(x>135) = 1 - P(x<135)
P(x > 135) = 1 - 0.99018
= 0.0098153
Approximately to 2 decimal places
= 0.01
Therefore, the proportion of the population for the following IQ score of 135 is 0.01
HELP ASAP PLZZZZ, I’m begging!
Answer:
I think it's B
Step-by-step explanation:
I believe the answer is C
The following are the last 7 days adjusted closing stock prices (in $) for Citigroup: 22, 25, 20, 15, 40, 55, 28 A) Compute the 25th percentile by hand and interpret. B) Compute the sample mean and median by hand. What is the shape of the data set?
Answer:
(A) The 25th percentile is 20.
(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.
Step-by-step explanation:
The data set arranged in ascending order is:
S = {15, 20, 22, 25, 28, 40, 55}
(A)
Compute the 25th percentile as follows:
[tex]25^{th} \text{Percentile}=[\frac{n+1}{4}]^{th}obs.\\\\=[\frac{7+1}{4}]^{th}obs.\\\\=2^{nd}obs.\\\\=20[/tex]
Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.
(B)
Compute the sample mean as follows:
[tex]\text{Mean}=\frac{22+25+20+15+40+55+28}{7}=\frac{205}{7}=29.29[/tex]
Compute the median as follows:
For a set with odd number of observations, the median value if the middle value.
The middle value is 25.
Thus, the mean of the data set is 20 and the median of the data set is 25.
The Mean < Median.
This implies that the data set is left-skewed.
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?
Answer:
Y = 5.5x
The constant is 5.5
since no matter what y and x are there will always be a 5.5 difference
Also mark brainliest please
The required constant of proportionality is 5.5 in the given expression.
Given that,
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality is to be determined.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
The given proportion equation is,?
y = 5.5x
Where y is the dependent variable and x is the independent variable,
And 5.5 is contant.
Thus, the required constant of proportionality is 5.5 in the given expression.
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