(Sorry forgot to put picture)
What is the value of x?
A. X=3
B. X=8.5
C. X=6.5
D. X=14
Suppose you purchase a $500 bond with a 6.5% coupon. What is the periodic
interest rate of this bond?
O A. 6.5%
O B. 0.5%
O C. 3.25%
O D. 1.5%
Answer:
C. 3.25
Step-by-step explanation:
A was wrong I seen the real answer which was C
6. The area of a rectangular painting is given by the trinomial x2 + 2x - 15. What are the possible (1 point)
dimensions of the painting? Use factoring,
Answer:
(x+5)(x-3) = x^2+2x-15
Step-by-step explanation:
since there is a -15 at the end and a +2x in the center, you want two factors of 15 which differ by 2. Those are 5 and 3. Now, you want one + and one -, so +5-3 = +2
Need help ASAP! 35 points
Answer:
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Since [tex]\sqrt[3]{x^5} = x^\frac{5}{3}[/tex], the solution is [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Step 1: Find the equivalent expression
[tex]\sqrt[3]{x^5y}[/tex]
[tex]\sqrt[3]{x^5} * \sqrt[3]{y}[/tex]
[tex]x^\frac{5}{3}*y^\frac{1}{3}[/tex]
[tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Answer: Option B
Amanda delivers 56 meals in 4 hours. At this rate, how many meals can she deliver is 7 hours?
Answer:
98
Step-by-step explanation:
On average she delivers about 14 meals per hour
If you divide 56 by 4 you get 14 ^
Then if you multiply 14 by 7 you get 98
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Alternative Text
A. 113.4 ft2
B. 140.4 ft2
C. 226.8 ft2
D. 631.8 ft2
Answer:
B. 140.4 square feet.Step-by-step explanation:
If all faces are equilateral, and they are all congruent, that means the surface area of the pyramid is formed by 4 equal triangles, including the base.
We just need to find the area of one triangle and then multiply it by 4.
According to the image, the height of a triangle face is [tex]h=7.8 \ ft[/tex], and its base is [tex]b=9 \ ft[/tex]. So, the area is
[tex]A=\frac{1}{2} (b \times h)[/tex]
[tex]A=\frac{1}{2}(7.8 \times 9) =35.1 \ ft^{2}[/tex]
Then, the total surface area of the pyramid is
[tex]S=4(35.1)=140.4 \ ft^{2}[/tex]
Therefore, the right answer is B. 140.4 square feet.
Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your work.
Answer:
x = 5.6 i guess
Step-by-step explanation:
use cos 45 = x/8
maybe
Willy has compounded monthly to invest his summer earnings of $4259 in the
Rock Solid Bank. The bank is offering 6%. Willy plans to use the money to go to
college in 5 years. How much will he have in 5 years?
We have been given that Willy has compounded monthly to invest his summer earnings of $4259 in the Rock Solid Bank. The bank is offering 6%. We are asked to find the amount of money will be after 5 years.
We will use compound interest formula to solve our given problem.
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year.
t = Time in years.
[tex]6\%=\frac{6}{100}=0.06[/tex]
Since interest is compounded monthly, so [tex]n=12[/tex] and [tex]P=4259[/tex].
[tex]A=\$4259(1+\frac{0.06}{12})^{12\cdot 5}[/tex]
[tex]A=\$4259(1+0.005)^{60}[/tex]
[tex]A=\$4259(1.005)^{60}[/tex]
[tex]A=\$4259(1.3488501525493161)[/tex]
[tex]A=\$5744.752799707\approx \$5744.75[/tex]
Therefore, Will will have approximately [tex]\$5744.75[/tex] in 5 years.
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 130 yd2
B) 150 yd2
C) 170 yd2
D) 190 yd2
In the figure, AC = 15 ft, m∠ABC = 60°, m∠ADC = 45°, and m∠AEC = 30°. Find each of the following measures. Show your work or explain your reasoning.
Answer:
a) BC = 8.66 feet
b) AD = 21.2134 feet
c) EC = 25.9785 feet
Step-by-step explanation:
a)
To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:
tangent(60) = AC / BC
1.7321 = 15 / BC
BC = 15 / 1.7321 = 8.66 feet
b)
To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:
sine(45) = AC / AD
0.7071 = 15 / AD
AD = 15 / 0.7071 = 21.2134 feet
c)
Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:
tangent(30) = AC / EC
0.5774 = 15 / EC
EC = 15 / 0.5774 = 25.9785 feet
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0: pequals0.515 Upper H 1: pnot equals0.515 Your answer is correct.B. Upper H 0: pequals0.515 Upper H 1: pgreater than0.515 C. Upper H 0: pnot equals0.515 Upper H 1: pequals0.515 D. Upper H 0: pequals0.515 Upper H 1: pless than0.515 Identify the test statistic for this hypothesis test.
The null hypothesis is that 51.5% of newborn babies are boys, and the alternative hypothesis is that the percentage is different from 51.5%. The test statistic, used to decide whether to reject or fail to reject the null hypothesis, is calculated using the observed percentage of boys and the sample size.
Explanation:The question is about testing a hypothesis about the proportion of boys born (51.5%). For this, we set our null and alternative hypotheses. The null hypothesis (H0) being tested here is that the true proportion of boys is 51.5% (p = 0.515), while the alternative hypothesis (H1) is that the proportion of boys is not 51.5% (p ≠ 0.515). The correct choice here would be A: Upper H0: p=0.515, Upper H1: p ≠ 0.515.
To calculate the test statistic, we would use the formula [(p' - p) / sqrt[(p(1 - p) / n]], where p' is the observed proportion in our sample (434 boys out of 850 births or 0.51), p is the claimed proportion (0.515), and n is the sample size (850). After calculating this, you would compare it to a critical value associated with the 0.10 significance level to decide whether to reject or fail to reject the null hypothesis.
Without the specific calculations, I can't tell you what your final test statistic will be, but this should guide you in the right direction.
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The null and alternative hypotheses are H₀: p = 0.515 and H₁: p ≠ 0.515. The test statistic for this hypothesis test is the z-score.
Explanation:The null and alternative hypotheses for this test are:
H₀: p = 0.515H₁: p ≠ 0.515The test statistic for this hypothesis test is the z-score. To calculate the z-score, you can use the formula:
z = (p' - p₀) / sqrt((p₀ * (1 - p₀)) / n)
Substituting the given values:
z = (434/850 - 0.515) / sqrt((0.515 * (1 - 0.515)) / 850)
Calculating the z-score, we can compare it to the critical value(s) from the standard normal distribution to make a conclusion about the null hypothesis.
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In ΔHIJ, i = 900 cm, ∠H=95° and ∠I=28°. Find the length of j, to the nearest centimeter.
Answer:
J=1607.77cm
Step-by-step explanation:
Answer:
1608
Step-by-step explanation:
When preparing for Geometry class, Matt labeled a right triangle. Matt’s teacher told him that he made some mistakes. What is one mistake that matt made ?
Answer:
Vertices (or angles) are labeled with Capital letters
Step-by-step explanation:
Angles are labeled with Capital letters.
The sides themselves can be labeled with lowercase letters, but the vertices of the triangles must be labeled with Capital letters
What is the distance between the point (-25, 10) and the origin?
Answer:
35
Step-by-step explanation:
The origin is (0,0). To get to it from (-25,10) you would add 25 which would get you to (0,10,). Then you subtract 10 to get you to the origin. 10+25=35
Also this one pls help
Answer:
Option 3
Step-by-step explanation:
Answer:
From my understanding the answer is supposed to be 6.. but since that's not an option I think it's option 4.
Step-by-step explanation:
For a normal distribution given a standard deviation of 3.8 in a mean of 54 what percent lies above 48
A 0.1690
B 0.0571
C 0.7660
D 0.9429
Answer:
choice D.) 0.9429
Step-by-step explanation:
Given a Normal data set
mean u = 54
standard deviation s = 3.8
we want P( X > 48)
Standardize this probability so we can use Z-scores.
P( X > 48) = P( (X - u)/s > (48 - 54)/3.8 ) = P(Z > -1.5789)
so I look for P ( Z > 1.5789) = 0.0571
so P(Z > -1.5789) = 1 - P(Z > 1.5789) = 1 - 0.0571 = 0.9429
please help me and please help me do it in a way i could understand :) ty
Solve the equation using the distributive property and properties of equality. -5(a + 3) = -55 What is the value of a? a 8 b -14 c 14 d -8
Answer:
It's C. 8
I took the edge test.
Answer:
C. 8
Step-by-step explanation:
Edge 2021
Use fraction operations to compare the regions of Canada in 5 different ways. Make sure that one comparison has 3 or more operations, one comparison involves 2 operations, and each of the four operations is used somewhere.
The fractions are Atlantic = 1/18
West = ¼
Territories = ⅓
Quebec = ⅙
Ontario = 1/9
Answer:
1/3,1/6,1/4
Step-by-step explanation:
atlantic and ontario do not compare
the others do
Leon runs 1 .6miles 5 day a week how many miles does he run in total in one week
hi guys could you please help me with this problem?
Answer:
7
Step-by-step explanation:
yidtkddkyoufofytidtsitdydiyof
BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what might be the coordinates of the square?
Answer:
the coordinates would be (12,2) Hope it helps :)
Step-by-step explanation:
its just that
Who knows the correct answer to this???
Answer:
A. y = 3x + 1
Step-by-step explanation:
Slope-intercept form y = mx + b
m = slope
b = y - intercept
When 240 sixth grade students were polled results showed that 96 students were dissatisfied with the music played at the school dance what percentage of sixth grade students does this represent
(use at least 2 strategies)
(Ratios and Proportional Relationships Percents)
Answer: 40%
Step-by-step explanation:
Total students= 240
Dissatisfied students= 96
To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:
= 96/240 × 100
= 0.4 × 100
= 40%
The percentage represented is 40%
an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there are 90 grams of the element remainibg
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:the correct answer is 9
Step-by-step explanation:
Which of the following is a complex number?
Answer:
The correct answer is B.
a 20 in tall hexagonal pyramid has a regular hexagon base that can be divide into six equilateral triangles with side lengths of 12 in, as shown below find the area of the hexagon base rounded to the nearest hundredth
Answer:
c
Step-by-step explanation:
The area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
What is a hexagonal pyramid?
A pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point. All sides are equal, the angles between the sides are 120 degrees.
For the given situation,
The base of the hexagon, a = 12 in
The formula of the area of hexagon base is
[tex]A=\frac{3\sqrt{3}(a)^{2} }{2}[/tex]
On substituting the above values,
⇒ [tex]A=\frac{3\sqrt{3}(12)^{2} }{2}[/tex]
⇒ [tex]A=\frac{3\sqrt{3}(144 )}{2}[/tex]
⇒ [tex]A=374.12[/tex]
Hence we can conclude that the area of hexagon base of hexagonal pyramid is option (A) 374.12 square inches.
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Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answer:
x = sine 70° / 8
Step-by-step explanation:
write the three expressions that are equivalent ro 70/ -5.
Answer:
-50-4, -27×2, 54×-1
Step-by-step explanation:
Point O is on line RS. Find the
measure of angle SOP.
Solution:
Answer:
104°
Step-by-step explanation:
a straight line is 180°, so subtract angle ROP(76°) from it to get angle SOP